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1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py Python 3.5.5 |Anaconda custom (32-bit)| (default, Apr 7 2018, 04:53:16) [MSC v.1900 32 bit (Intel)] on win32 _________________________________________________________________________________ Abundant List of Pythagorean triples (x, y, z) : Based On Mir’s Generalized Pythagorean Triple Generator Theorem [All possible triples generated in hierarchical order as function of base (x) of Pythagorean triangle with x range 3 through 20,000] using computational algorithm developed for the purpose by author in Python code (March, 2019) References: (1) https://www.4shared.com/office/aYrD9Vn0/mirs_generalized_pythagorean_t.html Mir’s generalized Pythagorean theorem defining all integral triples as function of x.pdf (Uploaded date: 02-09-2011) (2) https://www.4shared.com/document/Y_36ps6G/Pythagorean_Triples_All_Integr.html (List 1) Titles: Pythagorean Triples All Integral List1.pdf ( Uploaded date: 24-01-2010) (3) Mir’s generalized theorem defining all integral Pythagorean triples as function of x Shabir A. Mir : http://www.academia.edu/21914879/Mirs_generalized_theorem_defining_all_integral_Pythagorea n_triples_as_function_of_x (4) https://www.academia.edu/22357505/Mirs_theorem_based_integral_triple_listing_19-1-2010 Mir’s theorem based integral triple listing (Uploaded date: 19-01-2010) __________________________________________________________________________________ Introduction to table: Tables have been generated in 4-phases: x range 3 through 5000 5001 through 10000 10001 through 15000 15001 through 20000 triples per phase 49655 64592 70851 75137 pages per phase 2210 (3 - 2212) 2764 (2212 – 4975) 2996 (4975 – 7970) 3154 (7971 – 11,124) ---------------------------------------------------------------------------------------------------------------------- 3 through 20,000 2, 60, 235 11,124 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2 -------------------------------------------------------------------------------------------------------------------------------- Table columns explained: Ist col = Count of triple 2nd col = value assigned to base of the triangle (x) 3rd col = (j,k) = divisors of x2 ( j < x < k) and ( j * k = x2) 4th col = y = (k –j)/2 = perpendicular of the triangle 5th col = z = (k+j)/2 = hypotenuse of the triangle 6th col = type of triple: P = primitive (gcd=1) ; M = multiple of primitive (gcd >1) 7th col = gcd (x, y, z) 8th col = P(x) = primitive triple count for given value of x 9th col = M(x) = multiple of primitive triples count for given value of x 10th col = T(x) = Total triple count for given x = P(x) + M(x) ________________________________________________________________ Improvement in list over previously documented as indicated in above references: Previous list was generated in VB code, and covered x over the range: 3 to 1000; generated 6839 triples covering nearly 150 pages Current list is comprehensive with more efficient algorithm in Python with x over 3 through 20,000 generating 2,60,235 triples covering nearly 11,124 pages (A4 size; Font : Calibri(body), 11 point) ___________________________________________________________________________ Pythagorean triples identified herein as (x, y, z) : x = base of the Pythagorean right-angled triangle; y= perpendicular z = hypotenuse All types of triples are generated independently on their own as function of x . Types include primitive, multiples of primitive and commutative forms of both. We can take y as base, and proceed with the procedure. The results will be exactly the same because as per documented theorem Pythagorean triangle or triples can be expressed as function of its one of the two sides (x, y). ------------------------------------------------------------------------------------------------------------------------------ 3 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py Type "copyright", "credits" or "license()" for more information. >>> ====================== RESTART: C:\Python34\triple6.py ====================== Enter an integer as lower of the range for x as function of triple: 3 Enter an integer as upper of the range for x as function of triple: 5000 Integral Pythagorean triple generation as function of x: x range 3 through 5000 _____________________________________________________________________________ Count x ( j, k ) y ( 1, 9) 4 z Triple gcd (x,y,z) P 1 P(x) M(x) T(x) 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 2 _____________________________________________________________________________ 1 3 5 _____________________________________________________________________________ 2 4 ( 2, 8) 3 5 P 1 _____________________________________________________________________________ 3 5 ( 1 , 25 ) 12 13 P 1 _____________________________________________________________________________ 4 6 ( 2 , 18 ) 8 10 M 2 _____________________________________________________________________________ 5 7 ( 1 , 49 ) 24 25 P 1 _____________________________________________________________________________ 6 7 8 8 ( 2 , 32 ) ( 4 , 16 ) 15 6 17 10 P M 1 2 4 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 8 9 9 ( 1 , 81 ) 9 ( 3 , 27 ) 40 41 12 P 15 1 M 3 1 1 2 0 1 1 1 0 1 2 2 4 1 0 1 0 1 1 _____________________________________________________________________________ 10 10 ( 2 , 50 ) 24 26 M 2 _____________________________________________________________________________ 11 11 ( 1 , 121 ) 60 61 P 1 _____________________________________________________________________________ 12 12 ( 2 , 72 ) 35 14 12 ( 6 , 24 ) 9 13 15 12 12 ( 4 , 36 ) ( 8 , 18 ) 16 5 37 20 15 13 P 1 M 3 M 4 P 1 _____________________________________________________________________________ 16 13 ( 1 , 169 ) 84 85 P 1 _____________________________________________________________________________ 17 14 ( 2 , 98 ) 48 50 M 2 _____________________________________________________________________________ 18 15 ( 1 , 225 ) 20 15 ( 5 , 45 ) 19 21 15 15 112 ( 3 , 75 ) 36 ( 9 , 25 ) 8 20 113 39 25 17 M M P P 3 1 5 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5 2 2 4 1 2 3 1 0 1 0 2 2 1 0 1 2 2 4 _____________________________________________________________________________ 22 16 ( 2 , 128 ) 24 16 ( 8 , 32 ) 23 16 ( 4 , 64 ) 63 30 12 65 34 20 P 1 M 2 M 4 _____________________________________________________________________________ 25 17 ( 1 , 289 ) 144 145 P 1 _____________________________________________________________________________ 26 27 18 18 ( 2 , 162 ) ( 6 , 54 ) 80 24 82 30 M M 6 2 _____________________________________________________________________________ 28 19 ( 1 , 361 ) 180 181 P 1 _____________________________________________________________________________ 29 20 ( 2 , 200 ) 31 20 ( 8 , 50 ) 30 32 20 20 ( 4 , 100 ) ( 10 , 40 ) 99 48 21 15 101 52 29 25 P M P 1 1 M 4 5 _____________________________________________________________________________ 33 21 ( 1 , 441 ) 35 21 ( 7 , 63 ) 34 36 21 21 ( 3 , 147 ) ( 9 , 49 ) 220 72 28 20 221 75 35 29 M M P P 7 1 3 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6 2 2 4 0 1 1 1 0 1 2 5 7 1 1 2 0 1 1 _____________________________________________________________________________ 37 22 ( 2 , 242 ) 120 122 M 2 _____________________________________________________________________________ 38 23 ( 1 , 529 ) 264 265 P 1 _____________________________________________________________________________ 39 24 ( 2 , 288 ) 41 24 ( 6 , 96 ) 40 42 43 44 45 24 24 24 24 24 ( 4 , 144 ) ( 8 , 72 ) ( 12 , 48 ) ( 16 , 36 ) ( 18 , 32 ) 143 70 45 32 18 10 7 145 74 51 40 30 26 25 M P M 3 M 8 M M P 1 2 1 6 2 _____________________________________________________________________________ 46 47 25 25 ( 1 , 625 ) ( 5 , 125 ) 312 60 313 65 M P 5 1 _____________________________________________________________________________ 48 26 ( 2 , 338 ) 168 170 M 2 _____________________________________________________________________________ 49 27 ( 1 , 729 ) 51 27 ( 9 , 81 ) 50 27 ( 3 , 243 ) 364 120 36 365 123 45 P M M 1 9 3 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7 1 2 3 2 2 4 1 0 1 0 4 4 1 0 1 1 3 4 _____________________________________________________________________________ 52 28 ( 2 , 392 ) 54 28 ( 8 , 98 ) 53 55 28 28 ( 4 , 196 ) ( 14 , 56 ) 195 96 45 21 197 100 53 35 P P M 1 1 M 4 7 _____________________________________________________________________________ 56 29 ( 1 , 841 ) 420 421 P 1 _____________________________________________________________________________ 57 30 ( 2 , 450 ) 224 59 30 ( 10 , 90 ) 40 58 60 30 30 ( 6 , 150 ) ( 18 , 50 ) 72 16 226 78 M 34 M 50 M M 6 2 10 2 _____________________________________________________________________________ 61 31 ( 1 , 961 ) 480 481 P 1 _____________________________________________________________________________ 62 32 ( 2 , 512 ) 255 64 32 ( 8 , 128 ) 60 63 65 32 32 ( 4 , 256 ) ( 16 , 64 ) 126 24 257 130 68 40 P M M M 1 4 2 8 _____________________________________________________________________________ 66 33 ( 1 , 1089 ) 544 545 P 1 8 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 67 33 ( 3 , 363 ) 180 69 33 ( 11 , 99 ) 44 68 33 ( 9 , 121 ) 56 183 65 55 P M M 3 1 11 2 2 4 0 1 1 2 2 4 2 5 7 1 0 1 _____________________________________________________________________________ 70 34 ( 2 , 578 ) 288 290 M 2 _____________________________________________________________________________ 71 35 ( 1 , 1225 ) 73 35 ( 7 , 175 ) 72 74 35 35 612 ( 5 , 245 ) 120 ( 25 , 49 ) 12 84 613 125 91 37 P M M P 1 7 5 1 _____________________________________________________________________________ 75 36 ( 2 , 648 ) 323 325 P 77 36 ( 6 , 216 ) 105 111 M 76 78 79 80 81 36 36 36 36 36 ( 4 , 324 ) ( 8 , 162 ) ( 12 , 108 ) ( 18 , 72 ) ( 24 , 54 ) 160 164 M 77 85 P 27 45 M 48 15 60 39 1 M 4 1 3 12 9 M 3 _____________________________________________________________________________ 82 37 ( 1 , 1369 ) 684 685 P 1 _____________________________________________________________________________ 83 38 ( 2 , 722 ) 360 362 M 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9 0 1 1 2 2 4 2 5 7 1 0 1 0 4 4 _____________________________________________________________________________ 84 39 ( 1 , 1521 ) 86 39 ( 9 , 169 ) 85 87 39 39 760 ( 3 , 507 ) 252 ( 13 , 117 ) 52 80 761 P 255 89 P 65 M 1 1 M 3 13 _____________________________________________________________________________ 88 40 ( 2 , 800 ) 399 90 40 ( 8 , 200 ) 96 89 91 92 93 94 40 40 40 40 40 ( 4 , 400 ) ( 10 , 160 ) ( 16 , 100 ) ( 20 , 80 ) ( 32 , 50 ) 198 75 42 30 9 401 P 1 104 M 8 58 M 202 M 85 50 41 M 2 5 2 M P 1 10 _____________________________________________________________________________ 95 41 ( 1 , 1681 ) 840 841 P 1 _____________________________________________________________________________ 96 42 ( 2 , 882 ) 440 442 98 42 ( 14 , 126 ) 56 70 97 99 42 42 ( 6 , 294 ) ( 18 , 98 ) 144 40 150 58 M 2 M 6 M 14 M 2 _____________________________________________________________________________ 100 43 ( 1 , 1849 ) 924 925 P 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10 1 0 1 2 2 4 5 7 1 1 0 1 _____________________________________________________________________________ 101 44 ( 2 , 968 ) 483 485 P 1 103 44 ( 8 , 242 ) 117 125 P 1 102 104 44 44 ( 4 , 484 ) ( 22 , 88 ) 240 33 244 55 M M 4 11 _____________________________________________________________________________ 105 45 ( 1 , 2025 ) 107 45 ( 5 , 405 ) 106 108 109 110 111 45 45 45 45 45 1012 1013 ( 3 , 675 ) 336 339 M ( 9 , 225 ) 108 117 M ( 15 , 135 ) ( 25 , 81 ) ( 27 , 75 ) 200 60 28 24 205 75 53 51 P 1 3 M 5 9 M P 1 M 15 3 2 _____________________________________________________________________________ 112 46 ( 2 , 1058 ) 528 530 M 2 0 _____________________________________________________________________________ 113 47 ( 1 , 2209 ) 1104 1105 P 1 1 _____________________________________________________________________________ 114 48 ( 2 , 1152 ) 116 48 ( 6 , 384 ) 115 117 48 48 575 577 P 1 ( 4 , 576 ) 286 290 M 2 ( 8 , 288 ) 140 148 M 4 189 195 M 3 11 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 118 48 ( 12 , 192 ) 90 102 120 48 ( 18 , 128 ) 55 73 119 121 122 123 48 48 48 48 ( 16 , 144 ) 64 M 80 6 M 16 P 1 ( 24 , 96 ) 36 60 M 12 ( 36 , 64 ) 14 50 M 2 ( 32 , 72 ) 20 52 M 4 2 8 10 1 2 2 2 2 4 2 4 _____________________________________________________________________________ 124 125 49 49 ( 1 , 2401 ) ( 7 , 343 ) 1200 168 1201 175 M P 7 1 1 _____________________________________________________________________________ 126 127 50 50 ( 2 , 1250 ) ( 10 , 250 ) 624 120 626 M 130 2 M 10 0 _____________________________________________________________________________ 128 51 ( 1 , 2601 ) 130 51 ( 9 , 289 ) 129 131 51 51 1300 1301 ( 3 , 867 ) 432 435 ( 17 , 153 ) 68 85 140 149 M P M P 1 3 1 17 2 _____________________________________________________________________________ 132 52 ( 2 , 1352 ) 134 52 ( 8 , 338 ) 133 135 52 52 675 677 ( 4 , 676 ) 336 340 ( 26 , 104 ) 39 65 165 173 P M P M 1 4 1 13 2 12 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 136 53 ( 1 , 2809 ) 1404 1405 P 1 1 0 1 3 3 2 4 5 7 _____________________________________________________________________________ 137 54 ( 2 , 1458 ) 139 54 ( 18 , 162 ) 138 54 ( 6 , 486 ) 728 240 72 730 M 246 M 90 6 M 18 2 0 _____________________________________________________________________________ 140 55 ( 1 , 3025 ) 142 55 ( 11 , 275 ) 141 143 55 55 1512 1513 ( 5 , 605 ) 300 305 ( 25 , 121 ) 48 73 132 143 M P P M 5 1 1 11 2 _____________________________________________________________________________ 144 56 ( 2 , 1568 ) 146 56 ( 8 , 392 ) 145 147 148 149 150 56 56 56 56 56 ( 4 , 784 ) ( 14 , 224 ) ( 16 , 196 ) ( 28 , 112 ) ( 32 , 98 ) 783 390 192 105 90 42 33 785 P 394 M 200 8 M 106 65 2 M 119 70 1 M 2 M P 1 7 14 2 _____________________________________________________________________________ 151 57 ( 1 , 3249 ) 153 57 ( 9 , 361 ) 152 57 ( 3 , 1083 ) 1624 540 176 1625 543 185 M P P 1 3 1 13 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 154 57 ( 19 , 171 ) 76 95 M 19 2 2 4 1 1 0 1 9 13 0 1 _____________________________________________________________________________ 155 58 ( 2 , 1682 ) 840 842 M 2 0 _____________________________________________________________________________ 156 59 ( 1 , 3481 ) 1740 1741 P 1 1 _____________________________________________________________________________ 157 60 ( 2 , 1800 ) 159 60 ( 6 , 600 ) 158 160 161 162 163 164 165 166 167 168 169 60 60 60 60 60 60 60 60 60 60 60 899 901 P ( 4 , 900 ) 448 452 M ( 8 , 450 ) 221 229 P ( 10 , 360 ) ( 12 , 300 ) ( 18 , 200 ) ( 20 , 180 ) ( 24 , 150 ) ( 30 , 120 ) ( 36 , 100 ) ( 40 , 90 ) ( 50 , 72 ) 297 175 144 303 63 80 45 32 25 11 3 1 M 156 109 4 M 185 91 1 M P 1 87 M 3 68 M 4 100 M 75 65 61 5 12 20 M 15 M 5 P 1 4 _____________________________________________________________________________ 170 61 ( 1 , 3721 ) 1860 1861 P 1 1 _____________________________________________________________________________ 14 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 171 62 ( 2 , 1922 ) 960 962 M 2 0 1 1 5 7 4 5 2 4 _____________________________________________________________________________ 172 63 ( 1 , 3969 ) 174 63 ( 7 , 567 ) 280 287 M 7 ( 21 , 189 ) 84 105 M 21 173 175 176 177 178 63 63 63 63 63 ( 3 , 1323 ) ( 9 , 441 ) ( 27 , 147 ) ( 49 , 81 ) 1984 660 216 60 16 1985 663 M 225 87 65 P M 3 1 9 M P 1 3 2 _____________________________________________________________________________ 179 64 ( 2 , 2048 ) 181 64 ( 8 , 512 ) 252 260 ( 32 , 128 ) 48 80 180 182 183 64 64 64 ( 4 , 1024 ) ( 16 , 256 ) 1023 510 120 1025 514 136 M P M M 4 M 16 2 1 8 1 _____________________________________________________________________________ 184 65 ( 1 , 4225 ) 186 65 ( 13 , 325 ) 185 187 65 65 2112 2113 ( 5 , 845 ) 420 425 ( 25 , 169 ) 72 97 156 169 M P P M 5 1 1 13 2 _____________________________________________________________________________ 188 189 66 66 ( 2 , 2178 ) ( 6 , 726 ) 1088 360 1090 366 M M 6 2 15 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 190 191 66 66 ( 18 , 242 ) ( 22 , 198 ) 112 88 130 M 110 2 M 22 0 4 4 0 1 2 4 2 4 4 4 0 1 _____________________________________________________________________________ 192 67 ( 1 , 4489 ) 2244 2245 P 1 1 _____________________________________________________________________________ 193 68 ( 2 , 2312 ) 195 68 ( 8 , 578 ) 194 196 68 68 ( 4 , 1156 ) ( 34 , 136 ) 1155 576 285 51 1157 580 293 M P P 85 1 M 17 4 1 2 _____________________________________________________________________________ 197 69 ( 1 , 4761 ) 199 69 ( 9 , 529 ) 198 200 69 69 ( 3 , 1587 ) ( 23 , 207 ) 2380 792 260 92 2381 795 269 M P P 115 1 M 3 1 23 2 _____________________________________________________________________________ 201 70 ( 2 , 2450 ) 203 70 ( 14 , 350 ) 202 204 70 70 ( 10 , 490 ) ( 50 , 98 ) 1224 1226 240 168 24 250 74 182 M M M M 2 10 2 14 0 _____________________________________________________________________________ 205 71 ( 1 , 5041 ) 2520 2521 P 1 1 16 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 206 72 ( 2 , 2592 ) 208 72 ( 6 , 864 ) 207 209 210 211 212 213 214 215 216 217 72 72 72 72 72 72 72 72 72 72 ( 4 , 1296 ) ( 8 , 648 ) ( 12 , 432 ) ( 16 , 324 ) ( 18 , 288 ) ( 24 , 216 ) ( 32 , 162 ) ( 36 , 144 ) ( 48 , 108 ) ( 54 , 96 ) 1295 646 429 320 210 1297 650 435 90 30 21 M 153 54 78 M 6 9 M P 2 1 2 M 97 75 8 M 170 120 3 M 222 96 65 M 328 154 135 M P 1 M 24 18 M 3 6 2 10 12 _____________________________________________________________________________ 218 73 ( 1 , 5329 ) 2664 2665 P 1 1 0 1 1 1 _____________________________________________________________________________ 219 74 ( 2 , 2738 ) 1368 1370 M 0 2 _____________________________________________________________________________ 220 75 ( 1 , 5625 ) 2812 222 75 ( 5 , 1125 ) 560 221 223 224 225 75 75 75 75 ( 3 , 1875 ) ( 9 , 625 ) ( 15 , 375 ) ( 25 , 225 ) 936 308 180 100 2813 939 565 317 195 125 M M P M M P 3 1 1 5 15 25 17 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 226 75 ( 45 , 125 ) 40 85 M 5 2 5 7 2 4 2 4 4 4 0 1 _____________________________________________________________________________ 227 76 ( 2 , 2888 ) 229 76 ( 8 , 722 ) 228 230 76 76 ( 4 , 1444 ) ( 38 , 152 ) 1443 720 357 57 1445 724 365 95 M P P 1 M 19 4 1 2 _____________________________________________________________________________ 231 77 ( 1 , 5929 ) 233 77 ( 11 , 539 ) 232 234 77 77 2964 2965 ( 7 , 847 ) 420 427 ( 49 , 121 ) 36 85 264 275 M P P M 7 1 1 11 2 _____________________________________________________________________________ 235 78 ( 2 , 3042 ) 1520 237 78 ( 18 , 338 ) 160 236 238 78 78 ( 6 , 1014 ) ( 26 , 234 ) 504 104 1522 510 M 130 M 178 M 6 M 2 2 26 0 _____________________________________________________________________________ 239 79 ( 1 , 6241 ) 3120 3121 P 1 1 _____________________________________________________________________________ 240 80 ( 2 , 3200 ) 242 80 ( 8 , 800 ) 241 80 ( 4 , 1600 ) 1599 798 396 1601 802 404 M M P 4 2 1 18 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 243 80 ( 10 , 640 ) 315 325 M 5 245 80 ( 20 , 320 ) 150 170 M 10 244 246 247 248 249 80 80 80 80 80 ( 16 , 400 ) ( 32 , 200 ) ( 40 , 160 ) ( 50 , 128 ) ( 64 , 100 ) 192 208 84 116 39 89 60 18 100 82 M 16 M 4 M P 1 M 20 2 2 8 10 3 4 1 1 0 1 _____________________________________________________________________________ 250 81 ( 1 , 6561 ) 252 81 ( 9 , 729 ) 251 253 81 81 ( 3 , 2187 ) ( 27 , 243 ) 3280 1092 360 108 3281 1095 369 135 P M M M 1 9 3 27 1 _____________________________________________________________________________ 254 82 ( 2 , 3362 ) 1680 1682 M 0 2 _____________________________________________________________________________ 255 83 ( 1 , 6889 ) 3444 3445 P 1 1 _____________________________________________________________________________ 256 84 ( 2 , 3528 ) 1763 258 84 ( 6 , 1176 ) 585 257 259 260 261 84 84 84 84 ( 4 , 1764 ) ( 8 , 882 ) ( 12 , 588 ) ( 14 , 504 ) 880 437 288 245 1765 884 591 445 300 259 M M P M M P 4 1 1 3 12 7 19 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 262 84 ( 18 , 392 ) 187 205 P 264 84 ( 28 , 252 ) 112 140 M 263 265 266 267 268 84 84 84 84 84 ( 24 , 294 ) ( 36 , 196 ) ( 42 , 168 ) ( 56 , 126 ) ( 72 , 98 ) 135 159 80 116 35 91 63 13 M 3 M 105 85 1 4 M 28 21 M P 1 7 4 9 13 2 4 1 1 2 4 _____________________________________________________________________________ 269 85 ( 1 , 7225 ) 3612 271 85 ( 17 , 425 ) 204 270 272 85 85 ( 5 , 1445 ) ( 25 , 289 ) 720 132 3613 725 M 157 P 221 P 5 M 1 17 1 2 _____________________________________________________________________________ 273 86 ( 2 , 3698 ) 1848 1850 M 0 2 _____________________________________________________________________________ 274 87 ( 1 , 7569 ) 276 87 ( 9 , 841 ) 275 277 87 87 ( 3 , 2523 ) ( 29 , 261 ) 3784 1260 416 116 3785 1263 425 145 P P M M 1 1 3 29 2 _____________________________________________________________________________ 278 88 ( 2 , 3872 ) 280 88 ( 8 , 968 ) 279 88 ( 4 , 1936 ) 1935 966 480 1937 970 488 M M P 8 2 1 20 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 281 88 ( 16 , 484 ) 234 250 M 283 88 ( 32 , 242 ) 105 137 P 282 284 88 88 ( 22 , 352 ) ( 44 , 176 ) 165 66 187 110 2 M 11 1 M 22 2 5 7 0 1 7 7 2 4 _____________________________________________________________________________ 285 89 ( 1 , 7921 ) 3960 3961 P 1 1 _____________________________________________________________________________ 286 90 ( 2 , 4050 ) 2024 288 90 ( 10 , 810 ) 400 410 ( 30 , 270 ) 120 150 287 289 290 291 292 90 90 90 90 90 ( 6 , 1350 ) ( 18 , 450 ) ( 50 , 162 ) ( 54 , 150 ) 672 216 56 48 2026 678 M 234 M 106 102 M 6 2 M 10 M 30 18 M 2 M 6 0 _____________________________________________________________________________ 293 91 ( 1 , 8281 ) 4140 295 91 ( 13 , 637 ) 312 294 296 91 91 ( 7 , 1183 ) ( 49 , 169 ) 588 60 4141 595 325 109 M P M P 7 1 1 13 2 _____________________________________________________________________________ 297 92 ( 2 , 4232 ) 2115 299 92 ( 8 , 1058 ) 525 298 92 ( 4 , 2116 ) 1056 2117 1060 533 P P M 1 1 4 21 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 300 92 ( 46 , 184 ) 69 115 M 23 2 2 4 2 4 1 1 2 4 _____________________________________________________________________________ 301 93 ( 1 , 8649 ) 303 93 ( 9 , 961 ) 302 304 93 93 ( 3 , 2883 ) ( 31 , 279 ) 4324 1440 476 124 4325 1443 485 155 P P M M 1 1 3 31 2 _____________________________________________________________________________ 305 94 ( 2 , 4418 ) 2208 2210 M 0 2 _____________________________________________________________________________ 306 95 ( 1 , 9025 ) 4512 308 95 ( 19 , 475 ) 228 307 309 95 95 ( 5 , 1805 ) ( 25 , 361 ) 900 168 4513 905 M 193 P 247 P M 5 1 19 1 2 _____________________________________________________________________________ 310 96 ( 2 , 4608 ) 2303 312 96 ( 6 , 1536 ) 765 771 M ( 12 , 768 ) 378 390 M ( 18 , 512 ) 247 265 311 313 314 315 316 317 318 96 96 96 96 96 96 96 ( 4 , 2304 ) ( 8 , 1152 ) ( 16 , 576 ) ( 24 , 384 ) ( 32 , 288 ) 1150 572 280 180 128 2305 1154 580 296 204 160 P M M P M M M 1 3 2 4 6 8 1 12 32 22 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 319 96 ( 36 , 256 ) 110 321 96 ( 64 , 144 ) 40 320 322 96 96 ( 48 , 192 ) ( 72 , 128 ) 146 M 2 72 120 M 24 28 100 M 4 104 M 8 2 11 13 _____________________________________________________________________________ 323 97 ( 1 , 9409 ) 4704 4705 P 1 1 0 1 2 2 5 7 _____________________________________________________________________________ 324 325 98 98 ( 2 , 4802 ) ( 14 , 686 ) 2400 336 2402 350 M M 2 14 0 _____________________________________________________________________________ 326 99 ( 1 , 9801 ) 4900 328 99 ( 9 , 1089 ) 540 327 329 330 331 332 99 99 99 99 99 ( 3 , 3267 ) 1632 4901 1635 549 M 195 M ( 11 , 891 ) 440 451 ( 33 , 297 ) 132 165 ( 27 , 363 ) ( 81 , 121 ) 168 20 P 101 1 M 9 3 M 11 M 33 3 P 1 2 _____________________________________________________________________________ 333 100 ( 2 , 5000 ) 2499 335 100 ( 8 , 1250 ) 621 629 P 240 260 M 334 336 337 100 100 100 ( 4 , 2500 ) ( 10 , 1000 ) ( 20 , 500 ) 1248 495 2501 1252 505 P M M 1 1 4 5 20 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 338 339 100 100 ( 40 , 250 ) ( 50 , 200 ) 105 75 145 125 M M 23 5 25 2 5 7 0 1 4 4 0 1 5 7 _____________________________________________________________________________ 340 101 ( 1 , 10201 ) 5100 5101 P 1 1 _____________________________________________________________________________ 341 102 ( 2 , 5202 ) 2600 343 102 ( 18 , 578 ) 280 342 344 102 102 ( 6 , 1734 ) ( 34 , 306 ) 2602 864 870 M 136 170 M 298 M M 2 6 2 34 0 _____________________________________________________________________________ 345 103 ( 1 , 10609 ) 5304 5305 P 1 1 _____________________________________________________________________________ 346 104 ( 2 , 5408 ) 2703 348 104 ( 8 , 1352 ) 672 680 M 195 221 M 347 349 350 351 352 104 104 104 104 104 ( 4 , 2704 ) ( 16 , 676 ) ( 26 , 416 ) ( 32 , 338 ) ( 52 , 208 ) 1350 330 153 78 2705 1354 346 185 130 P M M 1 8 2 2 13 P 1 M 26 2 _____________________________________________________________________________ 353 354 105 105 ( 1 , 11025 ) ( 3 , 3675 ) 5512 1836 5513 1839 P M 1 3 24 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 355 105 ( 5 , 2205 ) 1100 357 105 ( 9 , 1225 ) 608 356 358 359 360 361 362 363 364 365 105 105 105 105 105 105 105 105 105 ( 7 , 1575 ) ( 15 , 735 ) ( 21 , 525 ) ( 25 , 441 ) ( 35 , 315 ) ( 45 , 245 ) ( 49 , 225 ) ( 63 , 175 ) ( 75 , 147 ) 1105 784 791 M 360 375 M 252 208 140 100 617 273 233 175 145 P 1 35 M 36 111 M 119 21 M P 7 15 P 137 5 1 M 88 56 M 1 M 5 7 3 4 9 13 1 1 0 1 _____________________________________________________________________________ 366 106 ( 2 , 5618 ) 2808 2810 M 2 0 _____________________________________________________________________________ 367 107 ( 1 , 11449 ) 5724 5725 P 1 1 _____________________________________________________________________________ 368 108 ( 2 , 5832 ) 2915 370 108 ( 6 , 1944 ) 969 975 M 480 492 M 369 371 372 373 374 375 108 108 108 108 108 108 ( 4 , 2916 ) ( 8 , 1458 ) ( 12 , 972 ) ( 18 , 648 ) ( 24 , 486 ) ( 36 , 324 ) 1456 725 315 231 144 2917 1460 733 333 255 180 P P M M M M 1 3 1 12 9 3 36 4 25 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 376 377 108 108 ( 54 , 216 ) ( 72 , 162 ) 81 45 135 117 M 27 M 9 2 8 10 0 1 4 4 2 4 _____________________________________________________________________________ 378 109 ( 1 , 11881 ) 5940 5941 P 1 1 _____________________________________________________________________________ 379 110 ( 2 , 6050 ) 3024 381 110 ( 22 , 550 ) 264 380 382 110 110 ( 10 , 1210 ) ( 50 , 242 ) 600 96 3026 610 286 146 M M M 2 10 22 M 2 0 _____________________________________________________________________________ 383 111 ( 1 , 12321 ) 385 111 ( 9 , 1369 ) 384 386 111 111 6160 ( 3 , 4107 ) 2052 ( 37 , 333 ) 148 680 6161 2055 689 185 P P M M 1 3 1 37 2 _____________________________________________________________________________ 387 112 ( 2 , 6272 ) 3135 389 112 ( 8 , 1568 ) 780 788 M 384 400 M 388 390 391 392 393 394 112 112 112 112 112 112 ( 4 , 3136 ) ( 14 , 896 ) ( 16 , 784 ) ( 28 , 448 ) ( 32 , 392 ) ( 56 , 224 ) 1566 441 210 180 84 3137 1570 455 238 212 140 P M M M M M 1 4 7 16 14 4 28 2 26 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 395 396 112 112 ( 64 , 196 ) ( 98 , 128 ) 66 15 130 113 M 2 P 1 2 8 10 0 1 4 4 2 4 2 4 _____________________________________________________________________________ 397 113 ( 1 , 12769 ) 6384 6385 P 1 1 _____________________________________________________________________________ 398 114 ( 2 , 6498 ) 3248 400 114 ( 18 , 722 ) 352 399 401 114 114 ( 6 , 2166 ) ( 38 , 342 ) 1080 152 3250 1086 370 190 M M M M 2 6 2 38 0 _____________________________________________________________________________ 402 115 ( 1 , 13225 ) 404 115 ( 23 , 575 ) 403 405 115 115 6612 ( 5 , 2645 ) 1320 ( 25 , 529 ) 252 276 6613 1325 299 277 P M M P 1 23 5 1 2 _____________________________________________________________________________ 406 116 ( 2 , 6728 ) 3363 408 116 ( 8 , 1682 ) 837 407 409 116 116 ( 4 , 3364 ) ( 58 , 232 ) 1680 87 3365 1684 845 145 P P M M 1 1 4 29 2 _____________________________________________________________________________ 410 411 117 117 ( 1 , 13689 ) ( 3 , 4563 ) 6844 2280 6845 2283 P M 1 3 27 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 412 117 ( 9 , 1521 ) 756 765 M 9 414 117 ( 27 , 507 ) 240 267 M 3 ( 81 , 169 ) 44 413 415 416 117 117 117 ( 13 , 1053 ) ( 39 , 351 ) 520 156 533 195 125 M M P 1 13 39 2 5 7 1 1 2 4 _____________________________________________________________________________ 417 118 ( 2 , 6962 ) 3480 3482 M 2 0 _____________________________________________________________________________ 418 119 ( 1 , 14161 ) 420 119 ( 17 , 833 ) 419 421 119 119 7080 ( 7 , 2023 ) 1008 ( 49 , 289 ) 120 408 7081 1015 425 169 P M M P 1 17 7 1 2 _____________________________________________________________________________ 422 120 ( 2 , 7200 ) 3599 3601 P 424 120 ( 6 , 2400 ) 1197 1203 M 423 425 426 427 428 429 430 431 432 120 120 120 120 120 120 120 120 120 ( 4 , 3600 ) ( 8 , 1800 ) ( 10 , 1440 ) ( 12 , 1200 ) 1798 896 715 594 1802 904 725 606 M M M M ( 16 , 900 ) 442 458 M ( 20 , 720 ) 350 370 M ( 18 , 800 ) ( 24 , 600 ) ( 30 , 480 ) 391 288 225 409 312 255 1 P M M 2 8 2 3 5 6 1 10 24 15 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 433 120 ( 32 , 450 ) 209 241 P 435 120 ( 40 , 360 ) 160 200 M 434 436 437 438 439 440 441 442 443 120 120 120 120 120 120 120 120 120 ( 36 , 400 ) ( 48 , 300 ) ( 50 , 288 ) ( 60 , 240 ) ( 72 , 200 ) ( 80 , 180 ) ( 90 , 160 ) ( 96 , 150 ) ( 100 , 144 ) 182 126 119 218 174 169 M 28 1 2 40 M 6 P 1 90 150 M 30 50 130 M 10 64 35 27 22 136 125 123 122 M 8 M 5 M 3 M 2 4 18 22 _____________________________________________________________________________ 444 445 121 121 ( 1 , 14641 ) ( 11 , 1331 ) 7320 660 7321 671 M P 1 1 11 1 2 1 1 2 4 _____________________________________________________________________________ 446 122 ( 2 , 7442 ) 3720 3722 M 2 0 _____________________________________________________________________________ 447 123 ( 1 , 15129 ) 449 123 ( 9 , 1681 ) 448 450 123 123 7564 ( 3 , 5043 ) 2520 ( 41 , 369 ) 164 836 7565 2523 845 205 P P M M 1 1 3 41 2 _____________________________________________________________________________ 451 124 ( 2 , 7688 ) 3843 3845 P 1 29 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 452 124 ( 4 , 3844 ) 1920 454 124 ( 62 , 248 ) 93 453 124 ( 8 , 1922 ) 957 1924 965 155 P M M 4 1 31 2 2 4 2 3 7 7 0 1 _____________________________________________________________________________ 455 125 ( 1 , 15625 ) 457 125 ( 25 , 625 ) 456 125 ( 5 , 3125 ) 7812 1560 300 7813 1565 325 P M M 1 25 5 1 _____________________________________________________________________________ 458 126 ( 2 , 7938 ) 3968 3970 460 126 ( 14 , 1134 ) 560 574 459 461 462 463 464 126 126 126 126 126 ( 6 , 2646 ) 1320 M 1326 2 M M 6 14 ( 18 , 882 ) 432 450 M 18 ( 54 , 294 ) 120 174 M 6 ( 42 , 378 ) ( 98 , 162 ) 168 32 210 130 M 42 M 2 0 _____________________________________________________________________________ 465 127 ( 1 , 16129 ) 8064 8065 P 1 1 _____________________________________________________________________________ 466 128 ( 2 , 8192 ) 4095 4097 P 468 128 ( 8 , 2048 ) 1020 1028 M 467 469 470 128 128 128 ( 4 , 4096 ) ( 16 , 1024 ) ( 32 , 512 ) 2046 504 240 2050 520 272 M M M 1 2 8 16 4 30 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 471 128 ( 64 , 256 ) 96 160 M 32 1 5 6 2 4 4 4 0 1 _____________________________________________________________________________ 472 129 ( 1 , 16641 ) 474 129 ( 9 , 1849 ) 473 475 129 129 8320 ( 3 , 5547 ) 2772 ( 43 , 387 ) 172 920 8321 2775 929 215 P P M M 1 3 1 43 2 _____________________________________________________________________________ 476 130 ( 2 , 8450 ) 4224 478 130 ( 26 , 650 ) 312 477 479 130 130 ( 10 , 1690 ) ( 50 , 338 ) 840 144 4226 850 338 194 M M M 2 10 26 M 2 0 _____________________________________________________________________________ 480 131 ( 1 , 17161 ) 8580 8581 P 1 1 _____________________________________________________________________________ 481 132 ( 2 , 8712 ) 4355 4357 P 483 132 ( 6 , 2904 ) 1449 1455 M 482 484 485 486 487 488 489 132 132 132 132 132 132 132 ( 4 , 4356 ) ( 8 , 2178 ) ( 12 , 1452 ) 2176 1085 720 2180 1093 732 M M 475 493 P ( 24 , 726 ) 351 375 M ( 36 , 484 ) 385 224 407 260 4 3 P ( 18 , 968 ) ( 22 , 792 ) 1 M M 1 1 12 11 3 4 31 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 490 132 ( 44 , 396 ) 176 492 132 ( 72 , 242 ) 85 491 493 132 132 ( 66 , 264 ) ( 88 , 198 ) 220 M 99 165 M 55 143 M 157 44 33 P 1 11 4 9 13 2 4 1 1 8 10 _____________________________________________________________________________ 494 133 ( 1 , 17689 ) 496 133 ( 19 , 931 ) 495 497 133 133 8844 ( 7 , 2527 ) 1260 ( 49 , 361 ) 156 456 8845 1267 475 205 P M M P 1 19 7 1 2 _____________________________________________________________________________ 498 134 ( 2 , 8978 ) 4488 4490 M 2 0 _____________________________________________________________________________ 499 135 ( 1 , 18225 ) 501 135 ( 5 , 3645 ) 500 502 503 504 505 506 507 508 135 135 135 135 135 135 135 135 9112 9113 P 1 ( 3 , 6075 ) 3036 3039 M 3 ( 9 , 2025 ) 1008 1017 M 9 ( 15 , 1215 ) 1820 600 1825 615 M M ( 25 , 729 ) 352 377 P ( 45 , 405 ) 180 225 M ( 27 , 675 ) ( 75 , 243 ) ( 81 , 225 ) 324 84 72 351 159 153 M M M 5 1 15 27 45 3 9 2 _____________________________________________________________________________ 32 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 509 136 ( 2 , 9248 ) 4623 4625 P 511 136 ( 8 , 2312 ) 1152 1160 M 510 512 513 514 515 136 136 136 136 136 ( 4 , 4624 ) ( 16 , 1156 ) 2310 570 2314 586 M M ( 32 , 578 ) 273 305 P ( 68 , 272 ) 102 170 M ( 34 , 544 ) 255 289 1 2 1 M 2 8 17 34 2 5 7 0 1 4 4 0 1 _____________________________________________________________________________ 516 137 ( 1 , 18769 ) 9384 9385 P 1 1 _____________________________________________________________________________ 517 138 ( 2 , 9522 ) 4760 4762 519 138 ( 18 , 1058 ) 520 538 518 520 138 138 ( 6 , 3174 ) ( 46 , 414 ) 1584 184 1590 230 M 2 M M M 2 6 46 0 _____________________________________________________________________________ 521 139 ( 1 , 19321 ) 9660 9661 P 1 1 _____________________________________________________________________________ 522 140 ( 2 , 9800 ) 4899 4901 P 1 524 140 ( 8 , 2450 ) 1221 1229 P 1 523 525 526 527 140 140 140 140 ( 4 , 4900 ) ( 10 , 1960 ) ( 14 , 1400 ) ( 20 , 980 ) 2448 975 693 480 2452 985 707 500 M M M M 4 5 7 20 33 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 528 140 ( 28 , 700 ) 336 364 M 530 140 ( 50 , 392 ) 171 221 P 529 531 532 533 534 140 140 140 140 140 ( 40 , 490 ) ( 56 , 350 ) ( 70 , 280 ) ( 98 , 200 ) ( 100 , 196 ) 225 147 105 51 48 265 203 175 149 148 M 28 5 1 M 7 M P 1 M 35 4 4 9 13 2 4 1 1 _____________________________________________________________________________ 535 141 ( 1 , 19881 ) 537 141 ( 9 , 2209 ) 536 538 141 141 9940 ( 3 , 6627 ) 3312 ( 47 , 423 ) 188 1100 9941 P 3315 1109 235 1 M M 3 P 1 47 2 _____________________________________________________________________________ 539 142 ( 2 , 10082 ) 5040 5042 M 2 0 _____________________________________________________________________________ 540 143 ( 1 , 20449 ) 10224 542 143 ( 13 , 1573 ) 780 541 543 143 143 ( 11 , 1859 ) ( 121 , 169 ) 924 24 10225 935 793 145 P M M P 11 1 1 13 2 2 4 _____________________________________________________________________________ 544 144 ( 2 , 10368 ) 546 144 ( 6 , 3456 ) 545 144 ( 4 , 5184 ) 5183 2590 1725 5185 2594 1731 P M M 1 2 3 34 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 547 144 ( 8 , 2592 ) 1292 549 144 ( 16 , 1296 ) 640 548 550 551 552 553 554 555 556 557 558 559 560 144 144 144 144 144 144 144 144 144 144 144 144 ( 12 , 1728 ) ( 18 , 1152 ) 1300 M 858 870 M 6 567 585 M 9 656 M 16 ( 24 , 864 ) 420 444 M 12 ( 36 , 576 ) 270 306 M 18 ( 32 , 648 ) ( 48 , 432 ) ( 54 , 384 ) ( 64 , 324 ) ( 72 , 288 ) ( 96 , 216 ) ( 108 , 192 ) ( 128 , 162 ) 308 192 165 130 108 60 42 17 340 240 219 194 180 156 150 145 4 M 4 M 48 M 3 M 2 M 36 M 12 M 6 P 1 2 15 17 _____________________________________________________________________________ 561 145 ( 1 , 21025 ) 563 145 ( 25 , 841 ) 562 564 145 145 10512 ( 5 , 4205 ) 2100 ( 29 , 725 ) 348 408 10513 2105 433 377 P M P 1 M 5 29 2 1 2 4 1 1 _____________________________________________________________________________ 565 146 ( 2 , 10658 ) 5328 5330 M 0 2 _____________________________________________________________________________ 566 567 147 147 ( 1 , 21609 ) ( 3 , 7203 ) 10804 3600 10805 3603 M P 3 1 35 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 568 147 ( 7 , 3087 ) 1540 1547 570 147 ( 21 , 1029 ) 504 525 569 571 572 147 147 147 ( 9 , 2401 ) ( 49 , 441 ) ( 63 , 343 ) 1196 196 140 M 1205 245 203 7 P 1 M 21 M 49 M 7 2 5 7 2 4 _____________________________________________________________________________ 573 148 ( 2 , 10952 ) 575 148 ( 8 , 2738 ) 574 576 148 148 5475 ( 4 , 5476 ) 2736 ( 74 , 296 ) 111 1365 5477 P 2740 1373 185 1 M M 4 P 1 37 2 _____________________________________________________________________________ 577 149 ( 1 , 22201 ) 11100 11101 P 1 1 0 1 _____________________________________________________________________________ 578 150 ( 2 , 11250 ) 580 150 ( 10 , 2250 ) 579 581 582 583 584 150 150 150 150 150 5624 5626 ( 6 , 3750 ) 1872 1878 ( 18 , 1250 ) 616 634 1120 ( 30 , 750 ) 360 ( 90 , 250 ) 80 ( 50 , 450 ) 200 M M 1130 390 250 170 2 M 6 M 2 M 10 30 M 50 M 10 0 7 7 _____________________________________________________________________________ 585 151 ( 1 , 22801 ) 11400 11401 P 1 1 0 1 36 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 586 152 ( 2 , 11552 ) 588 152 ( 8 , 2888 ) 587 589 590 591 592 152 152 152 152 152 5775 5777 ( 4 , 5776 ) 2886 2890 ( 16 , 1444 ) 714 730 1440 P M 1448 M 345 377 P ( 76 , 304 ) 114 190 M 285 323 2 M ( 32 , 722 ) ( 38 , 608 ) 1 1 M 2 8 19 38 2 5 7 _____________________________________________________________________________ 593 153 ( 1 , 23409 ) 595 153 ( 9 , 2601 ) 594 596 597 598 599 153 153 153 153 153 11704 11705 ( 3 , 7803 ) 3900 3903 ( 17 , 1377 ) 680 697 1296 1305 M 447 M ( 81 , 289 ) 104 185 P 255 1 9 M 420 204 3 M ( 27 , 867 ) ( 51 , 459 ) P 3 M 17 51 1 2 5 7 4 4 _____________________________________________________________________________ 600 154 ( 2 , 11858 ) 5928 602 154 ( 22 , 1078 ) 528 601 603 154 154 ( 14 , 1694 ) ( 98 , 242 ) 840 72 5930 854 550 170 M M M 14 M 2 2 22 0 _____________________________________________________________________________ 604 605 155 155 ( 1 , 24025 ) ( 5 , 4805 ) 12012 2400 12013 2405 M P 5 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 606 607 155 155 ( 25 , 961 ) ( 31 , 775 ) 468 372 493 403 P M 37 1 31 2 2 4 _____________________________________________________________________________ 608 156 ( 2 , 12168 ) 610 156 ( 6 , 4056 ) 609 611 612 613 614 615 616 617 618 619 620 156 156 156 156 156 156 156 156 156 156 156 6083 6085 P ( 4 , 6084 ) 3040 3044 M ( 8 , 3042 ) 1517 1525 P ( 12 , 2028 ) ( 18 , 1352 ) ( 24 , 1014 ) 2025 1008 667 495 2031 4 M 1020 685 519 1 P 3 1 M 1 M 3 ( 26 , 936 ) 455 481 M 13 ( 52 , 468 ) 208 260 M 52 ( 36 , 676 ) ( 72 , 338 ) ( 78 , 312 ) ( 104 , 234 ) 320 133 117 65 356 205 195 169 12 M 4 P 1 M 39 M 13 4 9 13 _____________________________________________________________________________ 621 157 ( 1 , 24649 ) 12324 12325 P 1 1 0 1 1 1 _____________________________________________________________________________ 622 158 ( 2 , 12482 ) 6240 6242 M 0 2 _____________________________________________________________________________ 623 624 159 159 ( 1 , 25281 ) ( 3 , 8427 ) 12640 4212 12641 4215 M P 3 1 38 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 625 626 159 159 ( 9 , 2809 ) ( 53 , 477 ) 1400 212 1409 265 M P 1 53 2 2 4 _____________________________________________________________________________ 627 160 ( 2 , 12800 ) 629 160 ( 8 , 3200 ) 628 630 631 632 633 634 635 636 637 638 639 160 160 160 160 160 160 160 160 160 160 160 ( 4 , 6400 ) ( 10 , 2560 ) ( 16 , 1600 ) ( 20 , 1280 ) 6399 3198 1596 1275 792 630 6401 P 3202 M 1604 808 M 384 416 M ( 50 , 512 ) 231 281 P ( 64 , 400 ) ( 80 , 320 ) ( 100 , 256 ) ( 128 , 200 ) 300 168 120 78 36 340 232 200 178 164 4 M 5 8 M ( 32 , 800 ) ( 40 , 640 ) 2 M 1285 650 1 10 32 M 20 1 M 8 M 40 M 2 M 4 2 11 13 _____________________________________________________________________________ 640 161 ( 1 , 25921 ) 642 161 ( 23 , 1127 ) 641 643 161 161 12960 ( 7 , 3703 ) 1848 ( 49 , 529 ) 240 552 12961 1855 575 289 M M P P 7 1 1 23 2 2 4 _____________________________________________________________________________ 644 645 162 162 ( 2 , 13122 ) ( 6 , 4374 ) 6560 2184 6562 2190 M M 2 6 39 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 646 647 162 162 ( 18 , 1458 ) ( 54 , 486 ) 720 216 738 270 M M 18 54 0 4 4 _____________________________________________________________________________ 648 163 ( 1 , 26569 ) 13284 13285 P 1 1 0 1 2 4 _____________________________________________________________________________ 649 164 ( 2 , 13448 ) 651 164 ( 8 , 3362 ) 650 652 164 164 6723 ( 4 , 6724 ) 3360 ( 82 , 328 ) 123 1677 6725 P 3364 1685 205 1 M M 4 P 1 41 2 _____________________________________________________________________________ 653 165 ( 1 , 27225 ) 655 165 ( 5 , 5445 ) 654 656 657 658 659 660 661 662 663 664 665 165 165 165 165 165 165 165 165 165 165 165 13612 13613 ( 3 , 9075 ) 4536 4539 M ( 9 , 3025 ) 1508 1517 P ( 11 , 2475 ) ( 15 , 1815 ) ( 25 , 1089 ) 2720 1232 900 532 2725 3 M 1243 915 557 P M P 5 1 M 15 396 429 M 33 ( 55 , 495 ) 220 275 M 55 ( 75 , 363 ) ( 99 , 275 ) ( 121 , 225 ) 280 144 88 52 325 219 187 173 M M M P 11 1 ( 33 , 825 ) ( 45 , 605 ) 1 5 3 11 1 4 9 13 40 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 666 166 ( 2 , 13778 ) 6888 6890 M 2 0 1 1 _____________________________________________________________________________ 667 167 ( 1 , 27889 ) 13944 13945 P 1 1 0 1 _____________________________________________________________________________ 668 168 ( 2 , 14112 ) 670 168 ( 6 , 4704 ) 669 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 168 168 168 168 168 168 168 168 168 168 168 168 168 168 168 168 168 168 7055 7057 P 1 ( 4 , 7056 ) 3526 3530 M 2 ( 8 , 3528 ) 1760 1768 M 8 ( 12 , 2352 ) ( 14 , 2016 ) ( 16 , 1764 ) ( 18 , 1568 ) ( 24 , 1176 ) ( 28 , 1008 ) 2349 1170 1001 2355 M 1182 M 1015 874 890 M 576 600 M 775 490 793 518 M 425 457 P ( 42 , 672 ) 315 357 M ( 48 , 588 ) ( 56 , 504 ) ( 72 , 392 ) ( 84 , 336 ) ( 96 , 294 ) ( 98 , 288 ) ( 112 , 252 ) 374 270 224 160 126 99 95 70 410 318 280 232 210 195 193 182 6 M 2 P ( 32 , 882 ) ( 36 , 784 ) 3 M 1 24 1 2 21 M 6 M 56 M M M P M 14 8 42 3 1 14 7 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 688 689 168 168 ( 126 , 224 ) ( 144 , 196 ) 49 26 175 170 M M 41 7 2 4 18 22 _____________________________________________________________________________ 690 691 169 169 ( 1 , 28561 ) ( 13 , 2197 ) 14280 1092 14281 1105 M P 1 13 1 1 2 _____________________________________________________________________________ 692 170 ( 2 , 14450 ) 694 170 ( 34 , 850 ) 693 695 170 170 ( 10 , 2890 ) ( 50 , 578 ) 7224 1440 408 264 7226 1450 442 314 M 2 M M 10 34 M 2 0 4 4 _____________________________________________________________________________ 696 171 ( 1 , 29241 ) 698 171 ( 9 , 3249 ) 697 699 700 701 702 171 171 171 171 171 14620 14621 ( 3 , 9747 ) 4872 4875 ( 19 , 1539 ) 760 779 ( 27 , 1083 ) ( 57 , 513 ) ( 81 , 361 ) 1620 528 228 140 1629 555 285 221 M P 3 M 9 M M 1 19 3 M 57 P 1 2 5 7 _____________________________________________________________________________ 703 172 ( 2 , 14792 ) 705 172 ( 8 , 3698 ) 704 706 172 172 7395 ( 4 , 7396 ) 3696 ( 86 , 344 ) 129 1845 7397 P 3700 1853 215 M M P 1 4 1 43 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 42 2 2 4 _____________________________________________________________________________ 707 173 ( 1 , 29929 ) 14964 14965 P 1 1 0 1 4 4 _____________________________________________________________________________ 708 174 ( 2 , 15138 ) 710 174 ( 18 , 1682 ) 709 711 174 174 7568 ( 6 , 5046 ) 2520 ( 58 , 522 ) 232 832 7570 M 2526 850 290 2 M M 2 M 6 58 0 _____________________________________________________________________________ 712 175 ( 1 , 30625 ) 714 175 ( 7 , 4375 ) 713 715 716 717 718 175 175 175 175 175 15312 15313 ( 5 , 6125 ) 3060 3065 ( 25 , 1225 ) 600 625 2184 2191 M M 420 455 M ( 125 , 245 ) 60 185 M 288 337 5 M ( 35 , 875 ) ( 49 , 625 ) P 1 7 25 35 P 1 5 2 5 7 _____________________________________________________________________________ 719 176 ( 2 , 15488 ) 721 176 ( 8 , 3872 ) 720 722 723 724 725 176 176 176 176 176 7743 7745 ( 4 , 7744 ) 3870 3874 ( 16 , 1936 ) 960 976 ( 22 , 1408 ) ( 32 , 968 ) ( 44 , 704 ) 1932 693 468 330 1940 715 500 374 P 1 M 2 M 4 M M M M 16 4 11 22 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 726 176 ( 64 , 484 ) 210 274 M 728 176 ( 128 , 242 ) 57 185 P 727 176 ( 88 , 352 ) 132 220 M 43 2 44 1 2 8 10 _____________________________________________________________________________ 729 177 ( 1 , 31329 ) 731 177 ( 9 , 3481 ) 730 732 177 177 ( 3 , 10443 ) ( 59 , 531 ) 15664 5220 1736 236 15665 5223 1745 295 M M P P 3 1 59 2 1 2 4 1 1 _____________________________________________________________________________ 733 178 ( 2 , 15842 ) 7920 7922 M 2 0 _____________________________________________________________________________ 734 179 ( 1 , 32041 ) 16020 16021 P 1 1 0 1 _____________________________________________________________________________ 735 180 ( 2 , 16200 ) 737 180 ( 6 , 5400 ) 736 738 739 740 741 742 743 744 180 180 180 180 180 180 180 180 8099 8101 P ( 4 , 8100 ) 4048 4052 M ( 8 , 4050 ) 2021 2029 P ( 10 , 3240 ) ( 12 , 2700 ) ( 18 , 1800 ) ( 20 , 1620 ) ( 24 , 1350 ) ( 30 , 1080 ) 2697 1615 1344 2703 1625 1356 M M 891 909 M 663 687 M 800 525 820 555 M M M 1 4 3 1 9 20 3 15 5 12 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 745 180 ( 36 , 900 ) 432 468 M 747 180 ( 50 , 648 ) 299 349 P 746 748 749 750 751 752 753 754 755 756 180 180 180 180 180 180 180 180 180 180 ( 40 , 810 ) ( 54 , 600 ) ( 60 , 540 ) ( 72 , 450 ) ( 90 , 360 ) ( 100 , 324 ) ( 108 , 300 ) ( 120 , 270 ) ( 150 , 216 ) ( 162 , 200 ) 385 273 240 189 135 112 425 327 300 261 225 212 M 44 36 5 1 M 3 M 60 M 9 M 45 M 4 96 204 M 12 33 183 M 3 75 19 195 181 M 15 P 1 4 18 22 _____________________________________________________________________________ 757 181 ( 1 , 32761 ) 16380 16381 P 1 1 0 1 _____________________________________________________________________________ 758 182 ( 2 , 16562 ) 8280 760 182 ( 26 , 1274 ) 624 759 761 182 182 ( 14 , 2366 ) ( 98 , 338 ) 1176 120 8282 M 1190 650 218 M 2 M M 2 26 14 0 4 4 _____________________________________________________________________________ 762 183 ( 1 , 33489 ) 764 183 ( 9 , 3721 ) 763 765 183 183 ( 3 , 11163 ) ( 61 , 549 ) 16744 5580 1856 244 16745 5583 1865 305 M M P P 1 61 3 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 45 2 2 4 5 7 _____________________________________________________________________________ 766 184 ( 2 , 16928 ) 768 184 ( 8 , 4232 ) 767 769 770 771 772 184 184 184 184 184 ( 4 , 8464 ) ( 16 , 2116 ) ( 32 , 1058 ) ( 46 , 736 ) ( 92 , 368 ) 8463 4230 2112 1050 513 345 138 8465 P 4234 M 2120 391 230 2 M 1066 545 1 P 8 M 1 M 2 23 M 46 2 _____________________________________________________________________________ 773 185 ( 1 , 34225 ) 775 185 ( 25 , 1369 ) 774 776 185 185 17112 ( 5 , 6845 ) 3420 ( 37 , 925 ) 444 672 17113 3425 697 481 M P P 1 M 5 37 2 1 2 4 4 4 _____________________________________________________________________________ 777 186 ( 2 , 17298 ) 779 186 ( 18 , 1922 ) 778 780 186 186 8648 ( 6 , 5766 ) 2880 ( 62 , 558 ) 248 952 8650 M 2886 970 310 2 M M 2 M 62 0 6 _____________________________________________________________________________ 781 187 ( 1 , 34969 ) 17484 783 187 ( 17 , 2057 ) 1020 782 784 187 187 ( 11 , 3179 ) ( 121 , 289 ) 1584 84 17485 1595 1037 205 P M M P 1 11 1 17 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 46 2 2 4 2 4 _____________________________________________________________________________ 785 188 ( 2 , 17672 ) 787 188 ( 8 , 4418 ) 786 788 188 188 8835 ( 4 , 8836 ) 4416 ( 94 , 376 ) 141 2205 8837 P 4420 2213 235 1 M M 4 P 1 47 2 _____________________________________________________________________________ 789 189 ( 1 , 35721 ) 791 189 ( 7 , 5103 ) 2548 2555 ( 21 , 1701 ) 840 861 790 792 793 794 795 796 797 798 189 189 189 189 189 189 189 189 ( 3 , 11907 ) ( 9 , 3969 ) ( 27 , 1323 ) 17860 5952 1980 648 17861 5955 P ( 81 , 441 ) 180 261 M ( 147 , 243 ) 48 315 195 21 M 389 252 9 M 340 1 7 M ( 49 , 729 ) ( 63 , 567 ) 3 M 1989 675 M P 1 M 27 63 9 M 3 2 8 10 _____________________________________________________________________________ 799 190 ( 2 , 18050 ) 801 190 ( 38 , 950 ) 800 802 190 190 ( 10 , 3610 ) ( 50 , 722 ) 9024 1800 456 336 9026 1810 494 386 M M 2 M 38 M 2 0 10 4 4 _____________________________________________________________________________ 803 191 ( 1 , 36481 ) 18240 18241 P 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 47 1 0 1 _____________________________________________________________________________ 804 192 ( 2 , 18432 ) 806 192 ( 6 , 6144 ) 805 807 808 809 810 811 812 813 814 815 816 817 818 819 192 192 192 192 192 192 192 192 192 192 192 192 192 192 9215 9217 P 1 ( 4 , 9216 ) 4606 4610 M 2 ( 8 , 4608 ) 2300 2308 M 4 ( 12 , 3072 ) ( 16 , 2304 ) ( 18 , 2048 ) ( 24 , 1536 ) ( 32 , 1152 ) ( 36 , 1024 ) 3069 1530 1144 1015 3075 M 1542 M 1160 6 M 1033 756 780 M 494 530 M 560 3 592 8 P 1 12 M 16 2 ( 48 , 768 ) 360 408 M 24 ( 72 , 512 ) 220 292 M 4 ( 64 , 576 ) ( 96 , 384 ) ( 128 , 288 ) ( 144 , 256 ) 256 144 80 56 320 240 208 200 M 64 M 48 M 16 M 8 2 14 16 _____________________________________________________________________________ 820 193 ( 1 , 37249 ) 18624 18625 P 1 1 0 1 1 1 _____________________________________________________________________________ 821 194 ( 2 , 18818 ) 9408 9410 M 0 2 _____________________________________________________________________________ 822 195 ( 1 , 38025 ) 19012 19013 P 1 48 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 823 195 ( 3 , 12675 ) 825 195 ( 9 , 4225 ) 824 826 827 828 829 830 831 832 833 834 195 195 195 195 195 195 195 195 195 195 ( 5 , 7605 ) ( 13 , 2925 ) ( 15 , 2535 ) ( 25 , 1521 ) 6336 3800 2108 1456 1260 748 6339 M 3805 M 2117 5 P 1469 1 M 1275 773 3 P M 15 1 ( 39 , 975 ) 468 507 M 39 ( 65 , 585 ) 260 325 M 65 ( 45 , 845 ) ( 75 , 507 ) ( 117 , 325 ) ( 169 , 225 ) 400 216 104 28 445 291 221 197 M 5 M P 13 3 M 1 13 4 9 13 5 7 _____________________________________________________________________________ 835 196 ( 2 , 19208 ) 837 196 ( 8 , 4802 ) 836 838 839 840 841 196 196 196 196 196 ( 4 , 9604 ) ( 14 , 2744 ) ( 28 , 1372 ) ( 56 , 686 ) ( 98 , 392 ) 9603 4800 2397 1365 672 315 147 9605 P 4804 M 2405 371 245 4 P 1379 700 1 M 1 M M 7 M 28 7 49 2 _____________________________________________________________________________ 842 197 ( 1 , 38809 ) 19404 19405 P 1 1 0 1 _____________________________________________________________________________ 843 198 ( 2 , 19602 ) 9800 9802 M 2 49 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 844 198 ( 6 , 6534 ) 3264 3270 846 198 ( 22 , 1782 ) 880 902 845 847 848 849 198 198 198 198 ( 18 , 2178 ) 1080 M 1098 M 6 M ( 54 , 726 ) 336 390 M 6 ( 162 , 242 ) 40 202 M 2 ( 66 , 594 ) 264 330 M 22 18 66 0 7 7 _____________________________________________________________________________ 850 199 ( 1 , 39601 ) 19800 19801 P 1 1 0 1 _____________________________________________________________________________ 851 200 ( 2 , 20000 ) 853 200 ( 8 , 5000 ) 852 854 855 856 857 858 859 860 861 862 200 200 200 200 200 200 200 200 200 200 ( 4 , 10000 ) ( 10 , 4000 ) ( 16 , 2500 ) ( 20 , 2000 ) ( 32 , 1250 ) ( 40 , 1000 ) ( 50 , 800 ) ( 80 , 500 ) ( 100 , 400 ) ( 160 , 250 ) 9999 4998 2496 1995 1242 10001 5002 520 375 210 150 45 290 250 205 5 M 2 M 641 425 8 M 1258 480 2 M 2005 1010 1 M 2504 990 609 P P 1 M 10 40 M 25 M 10 M M 5 50 2 10 12 _____________________________________________________________________________ 863 864 201 201 ( 1 , 40401 ) ( 3 , 13467 ) 20200 6732 20201 6735 M P 3 1 50 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 865 866 201 201 ( 9 , 4489 ) ( 67 , 603 ) 2240 268 2249 335 M P 1 67 2 2 4 _____________________________________________________________________________ 867 202 ( 2 , 20402 ) 10200 10202 M 2 0 1 1 _____________________________________________________________________________ 868 203 ( 1 , 41209 ) 870 203 ( 29 , 1421 ) 869 871 203 203 20604 ( 7 , 5887 ) 2940 ( 49 , 841 ) 396 696 20605 2947 725 445 M P M P 7 1 1 29 2 2 4 _____________________________________________________________________________ 872 204 ( 2 , 20808 ) 874 204 ( 6 , 6936 ) 873 875 876 877 878 879 880 881 882 883 884 204 204 204 204 204 204 204 204 204 204 204 ( 4 , 10404 ) ( 8 , 5202 ) ( 12 , 3468 ) ( 18 , 2312 ) ( 24 , 1734 ) ( 34 , 1224 ) ( 36 , 1156 ) ( 68 , 612 ) ( 72 , 578 ) ( 102 , 408 ) ( 136 , 306 ) 10403 5200 3465 2597 1728 1147 10405 5204 M 3471 1740 M 560 596 M 272 253 153 85 629 340 325 255 221 1 M 879 P 3 M M P M M 1 3 P 855 595 4 M 2605 1165 P 12 1 17 4 68 1 51 17 4 9 13 51 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 885 205 ( 1 , 42025 ) 887 205 ( 25 , 1681 ) 886 888 205 205 21012 ( 5 , 8405 ) 4200 ( 41 , 1025 ) 492 828 21013 4205 853 M P P 533 1 M 2 5 41 1 2 4 _____________________________________________________________________________ 889 206 ( 2 , 21218 ) 10608 10610 M 2 0 1 1 _____________________________________________________________________________ 890 207 ( 1 , 42849 ) 892 207 ( 9 , 4761 ) 2376 ( 27 , 1587 ) 780 891 893 894 895 896 207 207 207 207 207 ( 3 , 14283 ) ( 23 , 1863 ) ( 69 , 621 ) ( 81 , 529 ) 21424 7140 920 276 224 21425 7143 2385 345 305 3 M 943 807 M P 1 9 M 23 M 3 M 69 P 1 2 5 7 _____________________________________________________________________________ 897 208 ( 2 , 21632 ) 899 208 ( 8 , 5408 ) 2700 2708 ( 26 , 1664 ) 819 845 898 900 901 902 903 904 208 208 208 208 208 208 ( 4 , 10816 ) ( 16 , 2704 ) ( 32 , 1352 ) ( 52 , 832 ) ( 64 , 676 ) 10815 5406 1344 660 390 306 10817 5410 1360 692 442 370 M P 2 M M M M M 4 M 13 4 26 2 1 16 52 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 905 906 208 208 ( 104 , 416 ) ( 128 , 338 ) 156 105 260 M 233 P 52 2 1 8 10 _____________________________________________________________________________ 907 209 ( 1 , 43681 ) 21840 909 209 ( 19 , 2299 ) 1140 908 910 209 209 ( 11 , 3971 ) ( 121 , 361 ) 1980 120 21841 1991 1159 241 M P P 1 11 M 2 19 1 2 4 _____________________________________________________________________________ 911 210 ( 2 , 22050 ) 913 210 ( 10 , 4410 ) 912 914 915 916 917 918 919 920 921 922 923 210 210 210 210 210 210 210 210 210 210 210 ( 6 , 7350 ) ( 14 , 3150 ) ( 18 , 2450 ) ( 30 , 1470 ) ( 42 , 1050 ) 11024 3672 2200 1568 1216 720 504 11026 3678 M 2210 6 M 1582 750 M 14 M 30 M 416 466 M 2 ( 90 , 490 ) 200 290 M 10 ( 98 , 450 ) ( 126 , 350 ) ( 150 , 294 ) 280 176 112 72 350 274 238 222 M 2 42 ( 50 , 882 ) ( 70 , 630 ) 2 10 M 1234 546 M 70 M 2 M M 6 0 14 13 13 _____________________________________________________________________________ 924 211 ( 1 , 44521 ) 22260 22261 P 1 1 0 1 53 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 925 212 ( 2 , 22472 ) 927 212 ( 8 , 5618 ) 926 928 212 212 ( 4 , 11236 ) ( 106 , 424 ) 11235 5616 2805 159 11237 5620 2813 M P P 265 1 M 2 4 53 1 2 4 _____________________________________________________________________________ 929 213 ( 1 , 45369 ) 931 213 ( 9 , 5041 ) 930 932 213 213 ( 3 , 15123 ) ( 71 , 639 ) 22684 7560 2516 284 22685 7563 2525 355 M M P P 1 3 71 2 1 2 4 _____________________________________________________________________________ 933 214 ( 2 , 22898 ) 11448 11450 M 2 0 1 1 _____________________________________________________________________________ 934 215 ( 1 , 46225 ) 936 215 ( 25 , 1849 ) 935 937 215 215 23112 ( 5 , 9245 ) 4620 ( 43 , 1075 ) 516 912 23113 4625 937 559 M P P 1 M 2 5 43 1 2 4 _____________________________________________________________________________ 938 216 ( 2 , 23328 ) 940 216 ( 6 , 7776 ) 939 941 942 216 216 216 ( 4 , 11664 ) ( 8 , 5832 ) ( 12 , 3888 ) 11663 5830 3885 2912 1938 11665 5834 3891 2920 1950 M M M M P 2 3 8 6 1 54 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 943 216 ( 16 , 2916 ) 1450 945 216 ( 24 , 1944 ) 960 984 M 630 666 M 944 946 947 948 949 950 951 952 953 954 216 216 216 216 216 216 216 216 216 216 ( 18 , 2592 ) ( 32 , 1458 ) ( 36 , 1296 ) 1287 713 1466 M 1305 745 2 M 24 P 1 18 ( 48 , 972 ) 462 510 M 6 ( 72 , 648 ) 288 360 M 72 ( 54 , 864 ) ( 96 , 486 ) ( 108 , 432 ) ( 144 , 324 ) ( 162 , 288 ) 405 195 162 90 63 459 291 270 234 225 M 9 27 M 3 M M 54 18 M 9 2 15 17 _____________________________________________________________________________ 955 217 ( 1 , 47089 ) 957 217 ( 31 , 1519 ) 956 958 217 217 23544 ( 7 , 6727 ) 3360 ( 49 , 961 ) 456 744 23545 3367 775 505 M P M P 7 1 1 31 2 2 4 _____________________________________________________________________________ 959 218 ( 2 , 23762 ) 11880 11882 M 2 0 1 1 _____________________________________________________________________________ 960 219 ( 1 , 47961 ) 962 219 ( 9 , 5329 ) 961 963 219 219 ( 3 , 15987 ) ( 73 , 657 ) 23980 7992 2660 292 23981 7995 2669 365 M M P P 1 73 3 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 55 2 2 4 _____________________________________________________________________________ 964 220 ( 2 , 24200 ) 966 220 ( 8 , 6050 ) 965 967 968 969 970 971 972 973 974 975 976 220 220 220 220 220 220 220 220 220 220 220 ( 4 , 12100 ) ( 10 , 4840 ) ( 20 , 2420 ) ( 22 , 2200 ) ( 40 , 1210 ) ( 44 , 1100 ) ( 50 , 968 ) ( 88 , 550 ) ( 100 , 484 ) ( 110 , 440 ) ( 200 , 242 ) 12099 6048 3021 2415 1200 1089 585 528 459 231 192 165 21 12101 6052 M 3029 P 2425 M 1111 625 509 319 292 275 221 1 M 1220 572 P M 5 20 M 11 5 M P 1 M 44 11 M P 4 1 4 M 1 55 4 9 13 _____________________________________________________________________________ 977 221 ( 1 , 48841 ) 24420 979 221 ( 17 , 2873 ) 1428 978 980 221 221 ( 13 , 3757 ) ( 169 , 289 ) 1872 60 24421 1885 1445 229 P M P M 1 13 1 17 2 2 4 _____________________________________________________________________________ 981 222 ( 2 , 24642 ) 983 222 ( 18 , 2738 ) 982 984 222 222 12320 ( 6 , 8214 ) 4104 ( 74 , 666 ) 296 1360 12322 4110 1378 370 M M M M 6 74 2 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 56 0 4 4 _____________________________________________________________________________ 985 223 ( 1 , 49729 ) 24864 24865 P 1 1 0 1 _____________________________________________________________________________ 986 224 ( 2 , 25088 ) 988 224 ( 8 , 6272 ) 987 989 990 991 992 993 994 995 996 997 998 224 224 224 224 224 224 224 224 224 224 224 ( 4 , 12544 ) ( 14 , 3584 ) ( 16 , 3136 ) ( 28 , 1792 ) ( 32 , 1568 ) 12543 6270 3132 1785 1560 882 768 12545 6274 M 3140 1576 910 M 476 M ( 98 , 512 ) 207 305 P ( 112 , 448 ) ( 128 , 392 ) ( 196 , 256 ) 360 168 132 30 424 280 260 226 7 M 14 M 420 1 4 M ( 56 , 896 ) ( 64 , 784 ) 2 M 1799 800 P 8 32 28 M 8 1 M M M 2 56 4 2 11 13 _____________________________________________________________________________ 999 1000 1001 1002 1003 1004 1005 225 225 225 225 225 225 225 ( 1 , 50625 ) ( 3 , 16875 ) ( 5 , 10125 ) ( 9 , 5625 ) ( 15 , 3375 ) ( 25 , 2025 ) ( 27 , 1875 ) 25312 8436 5060 2808 1680 1000 924 25313 P 8439 5065 2817 1695 1025 951 1 M M M M M M 3 9 3 5 15 25 57 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1006 225 ( 45 , 1125 ) 1008 225 ( 81 , 625 ) 1007 1009 1010 225 225 225 ( 75 , 675 ) ( 125 , 405 ) ( 135 , 375 ) 540 300 272 140 120 585 375 353 265 M 45 M P 255 75 1 M M 5 15 2 10 12 _____________________________________________________________________________ 1011 226 ( 2 , 25538 ) 12768 12770 M 0 1 2 1 _____________________________________________________________________________ 1012 227 ( 1 , 51529 ) 25764 25765 P 1 0 1 1 _____________________________________________________________________________ 1013 228 ( 2 , 25992 ) 1015 228 ( 6 , 8664 ) 1014 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 228 228 228 228 228 228 228 228 228 228 228 ( 4 , 12996 ) ( 8 , 6498 ) ( 12 , 4332 ) ( 18 , 2888 ) ( 24 , 2166 ) ( 36 , 1444 ) ( 38 , 1368 ) ( 72 , 722 ) ( 76 , 684 ) ( 114 , 456 ) ( 152 , 342 ) 12995 6496 4329 3245 2160 1435 1071 704 665 325 304 171 95 12997 6500 M 4335 M 3253 P 1095 740 380 285 247 1 M 1453 397 3 P 2172 703 P M P 12 1 M 4 M 1 M 3 19 76 M M 4 1 57 4 19 9 13 58 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 1026 229 ( 1 , 52441 ) 26220 26221 P 1 0 1 1 _____________________________________________________________________________ 1027 230 ( 2 , 26450 ) 1029 230 ( 46 , 1150 ) 1028 1030 230 230 13224 ( 10 , 5290 ) 2640 ( 50 , 1058 ) 504 552 13226 2650 598 M 554 M M 2 46 M 2 0 10 4 4 _____________________________________________________________________________ 1031 231 ( 1 , 53361 ) 1033 231 ( 7 , 7623 ) 1032 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 231 231 231 231 231 231 231 231 231 231 231 ( 3 , 17787 ) ( 9 , 5929 ) ( 11 , 4851 ) ( 21 , 2541 ) ( 33 , 1617 ) ( 49 , 1089 ) 26680 8892 3808 2960 2420 1260 792 520 26681 8895 M 3815 M 2969 7 P 2431 1 M 1281 825 569 P M M 33 P 392 455 M 7 ( 99 , 539 ) 220 319 M 11 ( 121 , 441 ) ( 147 , 363 ) 308 160 108 385 281 M 255 11 21 1 ( 63 , 847 ) ( 77 , 693 ) 3 1 77 P 1 M 4 3 9 13 _____________________________________________________________________________ 1044 1045 232 232 ( 2 , 26912 ) ( 4 , 13456 ) 13455 6726 13457 6730 M P 2 1 59 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1046 232 ( 8 , 6728 ) 3360 3368 1048 232 ( 32 , 1682 ) 825 857 1047 1049 1050 232 232 232 ( 16 , 3364 ) ( 58 , 928 ) ( 116 , 464 ) 1674 435 174 M 1690 493 290 P 8 M 1 M 2 29 M 58 2 5 7 _____________________________________________________________________________ 1051 233 ( 1 , 54289 ) 27144 27145 P 1 0 1 1 _____________________________________________________________________________ 1052 234 ( 2 , 27378 ) 1054 234 ( 18 , 3042 ) 1053 1055 1056 1057 1058 234 234 234 234 234 ( 6 , 9126 ) ( 26 , 2106 ) ( 54 , 1014 ) ( 78 , 702 ) ( 162 , 338 ) 13688 4560 1512 1040 480 312 88 13690 4566 M 1530 390 250 6 M 1066 534 M M M 18 26 6 M 2 78 M 0 2 7 7 _____________________________________________________________________________ 1059 235 ( 1 , 55225 ) 27612 1061 235 ( 25 , 2209 ) 1092 1060 1062 235 235 ( 5 , 11045 ) ( 47 , 1175 ) 5520 564 27613 5525 1117 611 M M P 5 P 1 1 2 47 2 4 _____________________________________________________________________________ 1063 1064 236 236 ( 2 , 27848 ) ( 4 , 13924 ) 13923 6960 13925 6964 M P 4 1 60 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1065 1066 236 236 ( 8 , 6962 ) ( 118 , 472 ) 3477 177 3485 P 295 M 1 59 2 2 4 _____________________________________________________________________________ 1067 237 ( 1 , 56169 ) 1069 237 ( 9 , 6241 ) 1068 1070 237 237 ( 3 , 18723 ) ( 79 , 711 ) 28084 9360 3116 316 28085 9363 3125 395 M M P P 3 1 2 79 1 2 4 _____________________________________________________________________________ 1071 238 ( 2 , 28322 ) 1073 238 ( 34 , 1666 ) 1072 1074 238 238 ( 14 , 4046 ) ( 98 , 578 ) 14160 2016 816 240 14162 2030 850 338 M M M M 2 0 2 34 14 4 4 _____________________________________________________________________________ 1075 239 ( 1 , 57121 ) 28560 28561 P 1 0 1 1 _____________________________________________________________________________ 1076 240 ( 2 , 28800 ) 1078 240 ( 6 , 9600 ) 1077 1079 1080 1081 1082 1083 240 240 240 240 240 240 ( 4 , 14400 ) ( 8 , 7200 ) ( 10 , 5760 ) ( 12 , 4800 ) ( 16 , 3600 ) ( 18 , 3200 ) 14399 7198 4797 3596 2875 2394 1792 1591 14401 7202 4803 3604 2885 2406 1808 1609 M M M M M M P P 3 4 2 1 5 6 16 1 61 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1084 240 ( 20 , 2880 ) 1430 1086 240 ( 30 , 1920 ) 945 975 M 782 818 M 1085 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104 1105 1106 240 240 240 240 240 240 240 240 240 240 240 240 240 240 240 240 240 240 240 240 240 ( 24 , 2400 ) ( 32 , 1800 ) ( 36 , 1600 ) ( 40 , 1440 ) ( 48 , 1200 ) ( 50 , 1152 ) 1188 884 700 576 551 1450 M 1212 916 M 15 M 740 2 20 M 48 P 1 ( 60 , 960 ) 450 510 M 30 ( 72 , 800 ) 364 436 M 4 ( 64 , 900 ) ( 80 , 720 ) ( 90 , 640 ) ( 96 , 600 ) ( 100 , 576 ) ( 120 , 480 ) ( 128 , 450 ) ( 144 , 400 ) ( 150 , 384 ) ( 160 , 360 ) ( 180 , 320 ) ( 192 , 300 ) ( 200 , 288 ) 418 320 275 252 238 180 161 128 117 100 482 400 365 348 338 M 80 M 5 M 12 M 2 M 289 60 P 272 1 M 267 260 2 M 300 16 M 3 M 20 70 250 M 10 44 244 M 4 54 246 12 4 M 624 601 10 M 6 4 27 31 _____________________________________________________________________________ 1107 241 ( 1 , 58081 ) 29040 29041 P 1 0 1 1 62 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 1108 1109 242 242 ( 2 , 29282 ) ( 22 , 2662 ) 14640 1320 14642 1342 M M 2 22 0 2 2 _____________________________________________________________________________ 1110 243 ( 1 , 59049 ) 1112 243 ( 9 , 6561 ) 3276 ( 81 , 729 ) 324 1111 1113 1114 243 243 243 ( 3 , 19683 ) ( 27 , 2187 ) 29524 9840 1080 29525 9843 M 3285 1107 405 P M 9 M M 1 81 3 1 27 4 5 _____________________________________________________________________________ 1115 244 ( 2 , 29768 ) 1117 244 ( 8 , 7442 ) 1116 1118 244 244 ( 4 , 14884 ) ( 122 , 488 ) 14883 7440 3717 183 14885 7444 3725 M P P 305 4 1 M 61 2 1 2 4 _____________________________________________________________________________ 1119 245 ( 1 , 60025 ) 1121 245 ( 7 , 8575 ) 4284 4291 ( 35 , 1715 ) 840 875 1120 1122 1123 1124 1125 245 245 245 245 245 ( 5 , 12005 ) ( 25 , 2401 ) ( 49 , 1225 ) ( 175 , 343 ) 30012 6000 1188 588 84 30013 6005 1213 637 259 M P M M 7 P 1 35 M M 5 1 2 7 49 5 7 _____________________________________________________________________________ 63 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1126 246 ( 2 , 30258 ) 15128 1128 246 ( 18 , 3362 ) 1672 1127 1129 246 246 ( 6 , 10086 ) ( 82 , 738 ) 5040 328 15130 5046 1690 410 M M 6 M M 0 2 2 82 4 4 _____________________________________________________________________________ 1130 247 ( 1 , 61009 ) 1132 247 ( 19 , 3211 ) 1131 1133 247 247 30504 ( 13 , 4693 ) 2340 ( 169 , 361 ) 96 1596 30505 2353 1615 265 M P 1 13 M P 2 19 1 2 4 _____________________________________________________________________________ 1134 248 ( 2 , 30752 ) 1136 248 ( 8 , 7688 ) 3840 3848 ( 32 , 1922 ) 945 977 1135 1137 1138 1139 1140 248 248 248 248 248 ( 4 , 15376 ) ( 16 , 3844 ) ( 62 , 992 ) ( 124 , 496 ) 15375 7686 1914 465 186 15377 7690 M 1930 527 310 M P P 8 M 1 M 2 1 2 31 M 2 62 5 7 _____________________________________________________________________________ 1141 249 ( 1 , 62001 ) 1143 249 ( 9 , 6889 ) 1142 1144 249 249 ( 3 , 20667 ) ( 83 , 747 ) 31000 10332 3440 332 31001 10335 3449 415 M P P 1 M 3 1 2 83 2 4 _____________________________________________________________________________ 64 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1145 250 ( 2 , 31250 ) 1147 250 ( 50 , 1250 ) 1146 250 ( 10 , 6250 ) 15624 3120 600 15626 3130 650 M M M 2 50 0 10 3 3 _____________________________________________________________________________ 1148 251 ( 1 , 63001 ) 31500 31501 P 1 0 1 1 _____________________________________________________________________________ 1149 252 ( 2 , 31752 ) 15875 1151 252 ( 6 , 10584 ) 5289 1150 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 252 252 252 252 252 252 252 252 252 252 252 252 252 252 252 252 252 ( 4 , 15876 ) ( 8 , 7938 ) ( 12 , 5292 ) ( 14 , 4536 ) ( 18 , 3528 ) ( 24 , 2646 ) ( 28 , 2268 ) ( 36 , 1764 ) ( 42 , 1512 ) ( 54 , 1176 ) ( 56 , 1134 ) 7936 3965 2640 2261 1755 1311 1120 15877 7940 M 5295 3973 P 2652 2275 M 1773 M 561 615 M 777 ( 72 , 882 ) 405 477 M ( 98 , 648 ) 275 373 P ( 84 , 756 ) ( 108 , 588 ) ( 126 , 504 ) ( 162 , 392 ) 336 240 189 115 420 348 315 277 M M M P 12 3 M 36 M M 3 9 M 1148 1 7 M 1335 595 1 M 900 539 4 M 864 735 P 21 3 9 7 84 1 12 63 1 28 65 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1168 252 ( 168 , 378 ) 105 1170 252 ( 216 , 294 ) 39 1169 252 ( 196 , 324 ) 64 273 260 255 M M 4 M 4 21 3 18 22 _____________________________________________________________________________ 1171 253 ( 1 , 64009 ) 1173 253 ( 23 , 2783 ) 1172 1174 253 253 32004 ( 11 , 5819 ) 2904 ( 121 , 529 ) 204 1380 32005 2915 1403 325 M P P 1 11 M 23 1 2 2 4 _____________________________________________________________________________ 1175 254 ( 2 , 32258 ) 16128 16130 M 0 1 2 1 _____________________________________________________________________________ 1176 255 ( 1 , 65025 ) 32512 1178 255 ( 5 , 13005 ) 6500 1177 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 255 255 255 255 255 255 255 255 255 255 255 ( 3 , 21675 ) ( 9 , 7225 ) ( 15 , 4335 ) ( 17 , 3825 ) ( 25 , 2601 ) ( 45 , 1445 ) ( 51 , 1275 ) ( 75 , 867 ) ( 85 , 765 ) ( 153 , 425 ) ( 225 , 289 ) 10836 3608 2160 1904 1288 700 612 396 340 136 32 32513 P 10839 6505 M 3617 663 471 425 289 257 M M M M M M P 5 1 M 1921 745 M P 2175 1313 1 3 15 17 P 5 3 51 85 1 1 17 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 66 4 9 13 _____________________________________________________________________________ 1189 256 ( 2 , 32768 ) 1191 256 ( 8 , 8192 ) 1190 1192 1193 1194 1195 256 256 256 256 256 ( 4 , 16384 ) ( 16 , 4096 ) ( 32 , 2048 ) ( 64 , 1024 ) ( 128 , 512 ) 16383 8190 4092 2040 1008 480 192 16385 8194 M 4100 P M 2056 4 M 1040 544 M 320 M 32 M 1 64 2 1 8 16 6 7 _____________________________________________________________________________ 1196 257 ( 1 , 66049 ) 33024 33025 P 1 0 1 1 _____________________________________________________________________________ 1197 258 ( 2 , 33282 ) 16640 1199 258 ( 18 , 3698 ) 1840 1198 1200 258 258 ( 6 , 11094 ) ( 86 , 774 ) 5544 344 16642 5550 1858 430 M M 6 M M 0 2 2 86 4 4 _____________________________________________________________________________ 1201 259 ( 1 , 67081 ) 1203 259 ( 37 , 1813 ) 1202 1204 259 259 33540 33541 ( 7 , 9583 ) 4788 4795 ( 49 , 1369 ) 660 709 888 925 M P 1 7 M 37 P 2 1 2 4 _____________________________________________________________________________ 1205 260 ( 2 , 33800 ) 16899 16901 P 1 67 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1206 260 ( 4 , 16900 ) 1208 260 ( 10 , 6760 ) 1207 1209 1210 1211 1212 1213 1214 1215 1216 1217 260 260 260 260 260 260 260 260 260 260 ( 8 , 8450 ) ( 20 , 3380 ) ( 26 , 2600 ) ( 40 , 1690 ) ( 50 , 1352 ) ( 52 , 1300 ) ( 100 , 676 ) ( 104 , 650 ) ( 130 , 520 ) ( 200 , 338 ) 8448 4221 3375 1680 1287 8452 M 4229 P 3385 M 1700 M 1313 825 865 M 624 676 M 651 288 273 195 69 701 269 M 5 13 1 52 M 377 5 20 P 388 325 1 4 4 M 13 M P 4 1 65 9 13 _____________________________________________________________________________ 1218 261 ( 1 , 68121 ) 1220 261 ( 9 , 7569 ) 1219 1221 1222 1223 1224 261 261 261 261 261 ( 3 , 22707 ) ( 27 , 2523 ) ( 29 , 2349 ) ( 81 , 841 ) ( 87 , 783 ) 34060 11352 3780 1248 1160 380 348 34061 11355 3789 1275 1189 461 435 P M 1 M 9 M P M 1 M 2 87 3 3 29 5 7 _____________________________________________________________________________ 1225 262 ( 2 , 34322 ) 17160 17162 M 0 1 2 1 _____________________________________________________________________________ 1226 263 ( 1 , 69169 ) 34584 34585 P 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 68 1 0 1 _____________________________________________________________________________ 1227 264 ( 2 , 34848 ) 17423 1229 264 ( 6 , 11616 ) 5805 1228 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 264 ( 4 , 17424 ) ( 8 , 8712 ) ( 12 , 5808 ) ( 16 , 4356 ) ( 18 , 3872 ) ( 22 , 3168 ) ( 24 , 2904 ) ( 32 , 2178 ) ( 36 , 1936 ) ( 44 , 1584 ) ( 48 , 1452 ) ( 66 , 1056 ) 8710 4352 2898 2170 1927 1573 1440 1073 17425 8714 M 5811 4360 M 2910 2186 M 1945 M 702 750 M 814 24 P 2 M 6 M 448 520 M 8 ( 96 , 726 ) 315 411 M 3 ( 132 , 528 ) ( 144 , 484 ) ( 176 , 396 ) ( 198 , 352 ) ( 242 , 288 ) 352 198 170 110 77 23 440 330 M 286 275 265 33 88 M 314 1 22 ( 72 , 968 ) ( 88 , 792 ) 6 11 M 1105 3 1 M 1464 1 2 P 1595 561 8 M 986 495 2 M 950 770 P M 66 2 M 22 M 11 P 4 1 18 22 _____________________________________________________________________________ 1249 265 ( 1 , 70225 ) 35112 35113 P 1 69 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1250 265 ( 5 , 14045 ) 1252 265 ( 53 , 1325 ) 1251 265 ( 25 , 2809 ) 7020 1392 636 7025 M 1417 689 M 5 P 1 53 2 2 4 _____________________________________________________________________________ 1253 266 ( 2 , 35378 ) 1255 266 ( 38 , 1862 ) 1254 1256 266 266 ( 14 , 5054 ) ( 98 , 722 ) 17688 2520 912 312 17690 2534 950 410 M M M M 2 0 2 38 14 4 4 _____________________________________________________________________________ 1257 267 ( 1 , 71289 ) 1259 267 ( 9 , 7921 ) 1258 1260 267 267 ( 3 , 23763 ) ( 89 , 801 ) 35644 11880 3956 356 35645 P 11883 3965 445 M P 1 M 3 1 2 89 2 4 _____________________________________________________________________________ 1261 268 ( 2 , 35912 ) 1263 268 ( 8 , 8978 ) 1262 1264 268 268 ( 4 , 17956 ) ( 134 , 536 ) 17955 8976 4485 201 17957 8980 4493 335 M P P 1 M 2 67 4 1 2 4 _____________________________________________________________________________ 1265 269 ( 1 , 72361 ) 36180 36181 P 1 0 1 1 _____________________________________________________________________________ 1266 270 ( 2 , 36450 ) 18224 18226 M 2 70 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1267 270 ( 6 , 12150 ) 1269 270 ( 18 , 4050 ) 1268 1270 1271 1272 1273 1274 1275 270 270 270 270 270 270 270 6072 6078 M 6 ( 10 , 7290 ) 3640 3650 M 10 ( 30 , 2430 ) 1200 1230 M 30 ( 50 , 1458 ) ( 54 , 1350 ) ( 90 , 810 ) ( 150 , 486 ) ( 162 , 450 ) 2016 704 648 360 168 144 2034 M 754 702 450 318 M 18 2 M 54 M 306 90 M 6 M 0 18 10 10 _____________________________________________________________________________ 1276 271 ( 1 , 73441 ) 36720 36721 P 1 0 1 1 _____________________________________________________________________________ 1277 272 ( 2 , 36992 ) 1279 272 ( 8 , 9248 ) 1278 1280 1281 1282 1283 1284 1285 1286 272 272 272 272 272 272 272 272 ( 4 , 18496 ) ( 16 , 4624 ) ( 32 , 2312 ) ( 34 , 2176 ) ( 64 , 1156 ) ( 68 , 1088 ) ( 128 , 578 ) ( 136 , 544 ) 18495 9246 4620 2304 1140 1071 18497 9250 4628 2320 M M M 546 610 M 225 353 P 510 204 578 340 4 M 1172 1105 P 2 1 16 4 M 2 M 17 34 1 M 2 68 8 10 _____________________________________________________________________________ 1287 273 ( 1 , 74529 ) 37264 37265 P 1 71 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1288 273 ( 3 , 24843 ) 1290 273 ( 9 , 8281 ) 1289 1291 1292 1293 1294 1295 1296 1297 1298 1299 273 273 273 273 273 273 273 273 273 273 ( 7 , 10647 ) ( 13 , 5733 ) ( 21 , 3549 ) ( 39 , 1911 ) ( 49 , 1521 ) ( 63 , 1183 ) ( 91 , 819 ) ( 117 , 637 ) ( 147 , 507 ) ( 169 , 441 ) 12420 5320 4136 2860 1764 12423 5327 M 4145 P 2873 1785 975 M 560 623 M 364 260 180 136 785 455 377 1 M 936 736 M M 39 P 305 13 21 1 7 M 327 7 3 91 M 13 M 3 P 4 1 9 13 _____________________________________________________________________________ 1300 274 ( 2 , 37538 ) 18768 18770 M 0 1 2 1 _____________________________________________________________________________ 1301 275 ( 1 , 75625 ) 37812 1303 275 ( 11 , 6875 ) 3432 ( 55 , 1375 ) 660 715 M 240 365 M 1302 1304 1305 1306 1307 275 275 275 275 275 ( 5 , 15125 ) ( 25 , 3025 ) ( 121 , 625 ) ( 125 , 605 ) 7560 1500 252 37813 7565 M 3443 1525 373 P 5 M 1 11 M 55 P 25 1 2 5 5 7 _____________________________________________________________________________ 1308 276 ( 2 , 38088 ) 19043 19045 P 1 72 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1309 276 ( 4 , 19044 ) 1311 276 ( 8 , 9522 ) 1310 1312 1313 1314 1315 1316 1317 1318 1319 1320 276 276 276 276 276 276 276 276 276 276 ( 6 , 12696 ) ( 12 , 6348 ) ( 18 , 4232 ) ( 24 , 3174 ) ( 36 , 2116 ) ( 46 , 1656 ) ( 72 , 1058 ) ( 92 , 828 ) ( 138 , 552 ) ( 184 , 414 ) 9520 6345 4757 3168 2107 1575 1040 805 493 368 207 115 9524 M 6351 M 4765 P 3180 P 1599 851 460 345 M 3 M 23 P 4 1 M 92 M 299 12 1 M 1076 3 1 M 2125 565 4 69 M 23 4 9 13 _____________________________________________________________________________ 1321 277 ( 1 , 76729 ) 38364 38365 P 1 0 1 1 _____________________________________________________________________________ 1322 278 ( 2 , 38642 ) 19320 19322 M 0 1 2 1 _____________________________________________________________________________ 1323 279 ( 1 , 77841 ) 1325 279 ( 9 , 8649 ) 1324 1326 1327 1328 1329 279 279 279 279 279 ( 3 , 25947 ) ( 27 , 2883 ) ( 31 , 2511 ) ( 81 , 961 ) ( 93 , 837 ) 38920 12972 4320 1428 1240 440 372 38921 12975 4329 1455 1271 521 465 P M 1 M 9 M P M M 1 93 3 3 31 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 73 2 5 7 _____________________________________________________________________________ 1330 280 ( 2 , 39200 ) 1332 280 ( 8 , 9800 ) 1331 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 280 280 280 280 280 280 280 280 280 280 280 280 280 280 280 280 280 280 280 280 ( 4 , 19600 ) ( 10 , 7840 ) ( 14 , 5600 ) ( 16 , 4900 ) ( 20 , 3920 ) ( 28 , 2800 ) ( 32 , 2450 ) ( 40 , 1960 ) ( 50 , 1568 ) ( 56 , 1400 ) ( 70 , 1120 ) ( 80 , 980 ) ( 98 , 800 ) ( 100 , 784 ) ( 112 , 700 ) ( 140 , 560 ) ( 160 , 490 ) ( 196 , 400 ) ( 200 , 392 ) ( 224 , 350 ) 19599 9798 4896 3915 2793 2442 1950 1386 1209 19601 9802 4904 351 342 294 210 165 102 96 63 595 M 442 P 287 35 10 1 M M 2 14 M 325 40 56 M 350 296 1 M 406 298 1 M P 449 14 P 809 530 10 M 1241 5 2 M 1414 2 1 7 M 1970 728 450 M 2458 672 8 M 2807 1000 525 M 3925 960 759 M P 70 M 5 M M 8 M 4 7 2 18 22 _____________________________________________________________________________ 1352 281 ( 1 , 78961 ) 39480 39481 P 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 74 1 0 1 _____________________________________________________________________________ 1353 282 ( 2 , 39762 ) 19880 1355 282 ( 18 , 4418 ) 2200 1354 1356 282 282 ( 6 , 13254 ) ( 94 , 846 ) 6624 376 19882 6630 2218 470 M M 6 M M 0 2 2 94 4 4 _____________________________________________________________________________ 1357 283 ( 1 , 80089 ) 40044 40045 P 1 0 1 1 _____________________________________________________________________________ 1358 284 ( 2 , 40328 ) 20163 1360 284 ( 8 , 10082 ) 5037 1359 1361 284 284 ( 4 , 20164 ) ( 142 , 568 ) 10080 213 20165 P 10084 5045 355 M P 1 M 1 2 71 4 2 4 _____________________________________________________________________________ 1362 285 ( 1 , 81225 ) 40612 1364 285 ( 5 , 16245 ) 8120 1363 1365 1366 1367 1368 1369 1370 1371 285 285 285 285 285 285 285 285 ( 3 , 27075 ) ( 9 , 9025 ) ( 15 , 5415 ) ( 19 , 4275 ) ( 25 , 3249 ) ( 45 , 1805 ) ( 57 , 1425 ) ( 75 , 1083 ) 13536 4508 2700 2128 1612 40613 P 13539 8125 4517 2715 M P M 2147 1637 925 M 504 579 M 741 M M P 5 1 M 880 684 1 3 15 19 5 1 57 3 75 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1372 285 ( 95 , 855 ) 380 475 M 1374 285 ( 225 , 361 ) 68 293 P 1373 285 ( 171 , 475 ) 152 323 95 M 4 19 1 9 13 _____________________________________________________________________________ 1375 286 ( 2 , 40898 ) 1377 286 ( 26 , 3146 ) 1376 1378 286 286 20448 ( 22 , 3718 ) 1848 ( 242 , 338 ) 48 1560 20450 1870 1586 290 M M 2 22 M M 0 2 26 4 4 _____________________________________________________________________________ 1379 287 ( 1 , 82369 ) 41184 1381 287 ( 41 , 2009 ) 984 1380 1382 287 287 ( 7 , 11767 ) ( 49 , 1681 ) 5880 816 41185 5887 1025 865 M P 7 M P 2 1 1 41 2 4 _____________________________________________________________________________ 1383 288 ( 2 , 41472 ) 20735 1385 288 ( 6 , 13824 ) 6909 6915 M ( 12 , 6912 ) 3450 3462 M 6 ( 18 , 4608 ) 2295 2313 M 9 1384 1386 1387 1388 1389 1390 1391 1392 288 288 288 288 288 288 288 288 ( 4 , 20736 ) ( 8 , 10368 ) ( 16 , 5184 ) ( 24 , 3456 ) ( 32 , 2592 ) ( 36 , 2304 ) 10366 5180 2584 1716 1280 1134 20737 10370 5188 2600 1740 1312 1170 P M M M M M M 1 3 2 4 8 12 32 18 76 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1393 288 ( 48 , 1728 ) 840 888 M 24 1395 288 ( 64 , 1296 ) 616 680 M 8 1394 1396 1397 1398 1399 1400 1401 1402 1403 1404 288 288 288 288 288 288 288 288 288 288 ( 54 , 1536 ) ( 72 , 1152 ) ( 96 , 864 ) ( 108 , 768 ) ( 128 , 648 ) ( 144 , 576 ) ( 162 , 512 ) ( 192 , 432 ) ( 216 , 384 ) ( 256 , 324 ) 741 540 384 330 260 216 175 120 84 34 795 612 480 438 M M 6 M 4 M 337 290 96 M 360 300 36 M 388 312 3 72 P 1 M 24 M 12 M 2 2 20 22 _____________________________________________________________________________ 1405 1406 289 289 ( 1 , 83521 ) ( 17 , 4913 ) 41760 2448 41761 2465 M P 1 17 1 1 2 _____________________________________________________________________________ 1407 290 ( 2 , 42050 ) 1409 290 ( 50 , 1682 ) 1408 1410 290 290 21024 ( 10 , 8410 ) 4200 ( 58 , 1450 ) 696 816 21026 4210 866 754 M M M 2 2 M 0 58 10 4 4 _____________________________________________________________________________ 1411 291 ( 1 , 84681 ) 1413 291 ( 9 , 9409 ) 1412 291 ( 3 , 28227 ) 42340 14112 4700 42341 14115 4709 P P M 1 1 3 77 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1414 291 ( 97 , 873 ) 388 485 M 2 97 2 4 _____________________________________________________________________________ 1415 292 ( 2 , 42632 ) 21315 1417 292 ( 8 , 10658 ) 5325 1416 1418 292 292 ( 4 , 21316 ) ( 146 , 584 ) 10656 219 21317 P 10660 5333 365 M P 1 M 1 2 73 4 2 4 _____________________________________________________________________________ 1419 293 ( 1 , 85849 ) 42924 42925 P 1 0 1 1 _____________________________________________________________________________ 1420 294 ( 2 , 43218 ) 21608 1422 294 ( 14 , 6174 ) 3080 3094 M 14 ( 42 , 2058 ) 1008 1050 M 42 1421 1423 1424 1425 1426 294 294 294 294 294 ( 6 , 14406 ) ( 18 , 4802 ) ( 98 , 882 ) ( 126 , 686 ) 7200 2392 392 280 21610 7206 M 2410 490 406 M 6 M M 2 2 98 M 0 14 7 7 _____________________________________________________________________________ 1427 295 ( 1 , 87025 ) 43512 1429 295 ( 25 , 3481 ) 1728 1428 1430 295 295 ( 5 , 17405 ) ( 59 , 1475 ) 8700 708 43513 8705 1753 767 M M P 5 P 1 1 2 59 2 4 _____________________________________________________________________________ 78 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1431 296 ( 2 , 43808 ) 21903 1433 296 ( 8 , 10952 ) 5472 1432 1434 1435 1436 1437 296 296 296 296 296 ( 4 , 21904 ) 10950 ( 16 , 5476 ) 2730 ( 74 , 1184 ) 555 ( 32 , 2738 ) ( 148 , 592 ) 1353 222 21905 P 10954 5480 M 2746 1 M 8 M 1385 629 M 370 2 2 P 1 37 M 74 2 5 7 _____________________________________________________________________________ 1438 297 ( 1 , 88209 ) 1440 297 ( 9 , 9801 ) 1439 1441 1442 1443 1444 1445 1446 1447 297 297 297 297 297 297 297 297 ( 3 , 29403 ) ( 11 , 8019 ) ( 27 , 3267 ) ( 33 , 2673 ) ( 81 , 1089 ) 44104 14700 4896 4004 1620 1320 504 44105 P 14703 4905 M 4015 M 9 M 1647 M 1353 585 1 M M 9 396 495 M 99 ( 243 , 363 ) 60 303 M 3 304 425 11 27 ( 99 , 891 ) ( 121 , 729 ) 3 P 33 1 2 8 10 _____________________________________________________________________________ 1448 298 ( 2 , 44402 ) 22200 22202 M 0 1 2 1 _____________________________________________________________________________ 1449 299 ( 1 , 89401 ) 1451 299 ( 23 , 3887 ) 1450 299 ( 13 , 6877 ) 44700 3432 1932 44701 3445 1955 M M P 1 13 23 79 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1452 299 ( 169 , 529 ) 180 349 P 2 1 2 4 _____________________________________________________________________________ 1453 300 ( 2 , 45000 ) 22499 1455 300 ( 6 , 15000 ) 7497 7503 M ( 10 , 9000 ) 4495 4505 M ( 18 , 5000 ) 2491 2509 P 1454 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472 1473 1474 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 300 ( 4 , 22500 ) ( 8 , 11250 ) ( 12 , 7500 ) ( 20 , 4500 ) ( 24 , 3750 ) ( 30 , 3000 ) ( 36 , 2500 ) ( 40 , 2250 ) ( 50 , 1800 ) ( 60 , 1500 ) ( 72 , 1250 ) ( 90 , 1000 ) ( 100 , 900 ) ( 120 , 750 ) ( 150 , 600 ) ( 180 , 500 ) ( 200 , 450 ) ( 250 , 360 ) 11248 5621 3744 2240 1863 1485 1232 1105 22501 P 11252 5629 2260 1268 589 661 P 400 315 225 160 125 55 500 435 375 340 325 305 1 20 3 15 M M 545 12 M 925 455 5 M 1515 4 M 25 M 5 60 1 M 5 M 100 M 15 M 75 M 20 M M 4 1 M 1887 780 3 M 875 720 M P 3756 1145 1 4 5 25 18 22 _____________________________________________________________________________ 80 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1475 301 ( 1 , 90601 ) 45300 1477 301 ( 43 , 2107 ) 1032 1476 1478 301 301 ( 7 , 12943 ) ( 49 , 1849 ) 6468 900 45301 6475 1075 949 M P P 7 M 2 1 43 1 2 4 _____________________________________________________________________________ 1479 302 ( 2 , 45602 ) 22800 22802 M 0 1 2 1 _____________________________________________________________________________ 1480 303 ( 1 , 91809 ) 45904 1482 303 ( 9 , 10201 ) 5096 1481 1483 303 303 ( 3 , 30603 ) ( 101 , 909 ) 15300 404 45905 P 15303 5105 505 M P 1 M 1 2 3 101 2 4 _____________________________________________________________________________ 1484 304 ( 2 , 46208 ) 23103 1486 304 ( 8 , 11552 ) 5772 1485 1487 1488 1489 1490 1491 1492 1493 304 304 304 304 304 304 304 304 ( 4 , 23104 ) 11550 23105 P 11554 5780 M 1 M 4 2 ( 16 , 5776 ) 2880 2896 M 16 ( 38 , 2432 ) 1197 1235 M 19 ( 32 , 2888 ) ( 64 , 1444 ) ( 76 , 1216 ) ( 128 , 722 ) ( 152 , 608 ) 1428 1460 M 690 754 M 297 425 P 570 228 646 380 4 2 M M 38 1 2 76 8 10 _____________________________________________________________________________ 81 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1494 305 ( 1 , 93025 ) 46512 1496 305 ( 25 , 3721 ) 1848 1495 1497 305 305 ( 5 , 18605 ) ( 61 , 1525 ) 9300 732 46513 9305 1873 793 M M P 5 P 1 1 2 61 2 4 _____________________________________________________________________________ 1498 306 ( 2 , 46818 ) 23408 1500 306 ( 18 , 5202 ) 2592 ( 54 , 1734 ) 840 894 M 208 370 M 1499 1501 1502 1503 1504 306 306 306 306 306 ( 6 , 15606 ) ( 34 , 2754 ) ( 102 , 918 ) ( 162 , 578 ) 7800 1360 408 23410 7806 M 2610 1394 510 M 6 M 2 18 M 34 6 M 102 0 2 7 7 _____________________________________________________________________________ 1505 307 ( 1 , 94249 ) 47124 47125 P 1 0 1 1 _____________________________________________________________________________ 1506 308 ( 2 , 47432 ) 23715 1508 308 ( 8 , 11858 ) 5925 1507 1509 1510 1511 1512 1513 1514 308 308 308 308 308 308 308 ( 4 , 23716 ) 11856 23717 P 11860 5933 P ( 14 , 6776 ) 3381 3395 M ( 28 , 3388 ) 1680 1708 M ( 22 , 4312 ) ( 44 , 2156 ) ( 56 , 1694 ) ( 88 , 1078 ) 2145 1056 819 495 2167 1100 875 583 1 M 1 7 M M M M 4 11 28 7 11 44 82 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1515 308 ( 98 , 968 ) 1517 308 ( 196 , 484 ) 1516 1518 308 308 ( 154 , 616 ) ( 242 , 392 ) 435 231 144 75 533 385 340 317 P 1 M M P 4 1 77 4 9 13 _____________________________________________________________________________ 1519 309 ( 1 , 95481 ) 47740 1521 309 ( 9 , 10609 ) 5300 1520 1522 309 309 ( 3 , 31827 ) ( 103 , 927 ) 15912 412 47741 P 15915 5309 515 M P 1 M 1 2 3 103 2 4 _____________________________________________________________________________ 1523 310 ( 2 , 48050 ) 1525 310 ( 50 , 1922 ) 1524 1526 310 310 24024 ( 10 , 9610 ) 4800 ( 62 , 1550 ) 744 936 24026 4810 986 806 M M M 2 2 M 0 62 10 4 4 _____________________________________________________________________________ 1527 311 ( 1 , 96721 ) 48360 48361 P 1 0 1 1 _____________________________________________________________________________ 1528 312 ( 2 , 48672 ) 24335 1530 312 ( 6 , 16224 ) 8109 8115 M 4050 4062 M 1529 1531 1532 1533 312 312 312 312 ( 4 , 24336 ) ( 8 , 12168 ) ( 12 , 8112 ) ( 16 , 6084 ) 12166 6080 3034 24337 12170 6088 3050 P M M M 1 3 8 6 2 2 83 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1534 312 ( 18 , 5408 ) 2695 2713 P 1536 312 ( 26 , 3744 ) 1859 1885 M 1535 1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 312 312 312 312 312 312 312 312 312 312 312 312 312 312 ( 24 , 4056 ) ( 32 , 3042 ) ( 36 , 2704 ) ( 48 , 2028 ) ( 52 , 1872 ) ( 72 , 1352 ) ( 78 , 1248 ) ( 96 , 1014 ) ( 104 , 936 ) ( 144 , 676 ) ( 156 , 624 ) ( 208 , 468 ) ( 234 , 416 ) ( 288 , 338 ) 2016 1505 1334 2040 1370 1038 640 712 910 585 459 416 266 234 130 91 25 M 1537 990 1 24 13 P 1 M 6 M 962 M 26 663 M 39 M 555 313 104 M 390 325 3 M 410 338 8 M 520 2 2 M 78 M 26 M 13 P 4 1 18 22 _____________________________________________________________________________ 1550 313 ( 1 , 97969 ) 48984 48985 P 1 0 1 1 _____________________________________________________________________________ 1551 314 ( 2 , 49298 ) 24648 24650 M 0 1 2 1 _____________________________________________________________________________ 1552 315 ( 1 , 99225 ) 49612 1554 315 ( 5 , 19845 ) 9920 1553 315 ( 3 , 33075 ) 16536 49613 16539 9925 P M M 1 5 3 84 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1555 315 ( 7 , 14175 ) 7084 7091 M 7 1557 315 ( 15 , 6615 ) 3300 3315 M 15 ( 25 , 3969 ) 1972 1997 P 1556 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568 1569 1570 1571 1572 1573 315 315 315 315 315 315 315 315 315 315 315 315 315 315 315 315 315 ( 9 , 11025 ) ( 21 , 4725 ) ( 27 , 3675 ) ( 35 , 2835 ) ( 45 , 2205 ) ( 49 , 2025 ) ( 63 , 1575 ) ( 75 , 1323 ) ( 81 , 1225 ) ( 105 , 945 ) ( 135 , 735 ) ( 147 , 675 ) ( 175 , 567 ) ( 189 , 525 ) ( 225 , 441 ) ( 245 , 405 ) 5508 2352 1824 1400 1080 5517 2373 699 572 420 300 264 196 168 108 80 35 P M 653 P 63 3 1 M 435 105 M 411 15 M 371 3 M 357 45 1 M 525 325 3 M 819 333 1 M 1125 624 21 M 1435 1037 9 M 1851 988 756 M 7 M 21 M M 4 5 9 18 22 _____________________________________________________________________________ 1574 316 ( 2 , 49928 ) 24963 1576 316 ( 8 , 12482 ) 6237 1575 1577 316 316 ( 4 , 24964 ) ( 158 , 632 ) 12480 237 24965 P 12484 6245 395 M P 1 M 1 2 79 2 4 4 _____________________________________________________________________________ 85 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1578 317 ( 1 , 100489 ) 50244 50245 P 1 1 0 1 _____________________________________________________________________________ 1579 318 ( 2 , 50562 ) 25280 1581 318 ( 18 , 5618 ) 2800 1580 1582 318 318 ( 6 , 16854 ) ( 106 , 954 ) 8424 424 25282 8430 2818 530 M M M 6 M 2 2 0 106 4 4 _____________________________________________________________________________ 1583 319 ( 1 , 101761 ) 1585 319 ( 29 , 3509 ) 1584 1586 319 319 50880 ( 11 , 9251 ) 4620 ( 121 , 841 ) 360 1740 50881 4631 1769 481 P M P 11 M 2 1 29 1 2 4 _____________________________________________________________________________ 1587 320 ( 2 , 51200 ) 25599 1589 320 ( 8 , 12800 ) 6396 6404 M ( 16 , 6400 ) 3192 3208 M 8 ( 32 , 3200 ) 1584 1616 M 16 1588 1590 1591 1592 1593 1594 1595 1596 1597 1598 320 320 320 320 320 320 320 320 320 320 ( 4 , 25600 ) ( 10 , 10240 ) ( 20 , 5120 ) ( 40 , 2560 ) ( 50 , 2048 ) ( 64 , 1600 ) ( 80 , 1280 ) ( 100 , 1024 ) 12798 5115 2550 1260 25601 12802 5125 1300 1049 600 680 462 832 562 1 M 4 M 2570 999 768 P 5 M M P M M M 2 10 1 64 40 2 20 86 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1599 320 ( 128 , 800 ) 336 464 M 16 1601 320 ( 200 , 512 ) 156 356 M 4 1600 1602 320 320 ( 160 , 640 ) ( 256 , 400 ) 240 72 400 328 M 80 M 2 8 14 16 _____________________________________________________________________________ 1603 321 ( 1 , 103041 ) 1605 321 ( 9 , 11449 ) 1604 1606 321 321 51520 ( 3 , 34347 ) 17172 ( 107 , 963 ) 428 5720 51521 17175 5729 535 M P P 1 M 1 3 107 2 2 4 _____________________________________________________________________________ 1607 322 ( 2 , 51842 ) 1609 322 ( 46 , 2254 ) 1608 1610 322 322 25920 ( 14 , 7406 ) 3696 ( 98 , 1058 ) 480 1104 25922 3710 1150 578 M M M 2 14 M 2 0 46 4 4 _____________________________________________________________________________ 1611 323 ( 1 , 104329 ) 1613 323 ( 19 , 5491 ) 1612 1614 323 323 52164 ( 17 , 6137 ) 3060 ( 289 , 361 ) 36 2736 52165 3077 2755 325 P M P 17 M 2 1 1 19 2 4 _____________________________________________________________________________ 1615 324 ( 2 , 52488 ) 26243 1617 324 ( 6 , 17496 ) 8745 1616 324 ( 4 , 26244 ) 13120 26245 13124 8751 P M M 1 3 4 87 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1618 324 ( 8 , 13122 ) 1620 324 ( 18 , 5832 ) 1619 1621 1622 1623 1624 1625 1626 1627 324 324 324 324 324 324 324 324 6557 6565 P ( 12 , 8748 ) 4368 4380 M ( 24 , 4374 ) 2175 2199 M ( 36 , 2916 ) ( 54 , 1944 ) ( 72 , 1458 ) ( 108 , 972 ) ( 162 , 648 ) ( 216 , 486 ) 2907 1440 2925 1476 999 M 432 540 M 243 135 765 405 351 12 M 945 693 1 9 3 M 27 M 36 9 108 M 81 M 2 27 11 13 _____________________________________________________________________________ 1628 325 ( 1 , 105625 ) 1630 325 ( 13 , 8125 ) 4056 ( 65 , 1625 ) 780 845 M 228 397 P 1629 1631 1632 1633 1634 325 325 325 325 325 ( 5 , 21125 ) ( 25 , 4225 ) ( 125 , 845 ) ( 169 , 625 ) 52812 10560 2100 360 52813 10565 4069 2125 485 P M 1 M 5 13 M 65 M 25 5 2 1 5 7 _____________________________________________________________________________ 1635 326 ( 2 , 53138 ) 26568 26570 M 0 1 2 1 _____________________________________________________________________________ 1636 327 ( 1 , 106929 ) 1638 327 ( 9 , 11881 ) 1637 327 ( 3 , 35643 ) 53464 17820 5936 53465 17823 5945 P P M 1 1 3 88 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1639 327 ( 109 , 981 ) 436 545 M 2 109 2 4 _____________________________________________________________________________ 1640 328 ( 2 , 53792 ) 26895 1642 328 ( 8 , 13448 ) 6720 1641 1643 1644 1645 1646 328 328 328 328 328 ( 4 , 26896 ) 13446 ( 16 , 6724 ) 3354 ( 82 , 1312 ) 615 ( 32 , 3362 ) ( 164 , 656 ) 1665 246 26897 P 13450 6728 M 3370 1697 697 410 1 M 8 M M 2 2 P 1 41 M 2 82 5 7 _____________________________________________________________________________ 1647 329 ( 1 , 108241 ) 1649 329 ( 47 , 2303 ) 1648 1650 329 329 ( 7 , 15463 ) ( 49 , 2209 ) 54120 7728 1128 1080 54121 7735 1175 P M 7 M 1129 1 47 P 2 1 2 4 _____________________________________________________________________________ 1651 330 ( 2 , 54450 ) 27224 1653 330 ( 10 , 10890 ) 5440 1652 1654 1655 1656 1657 1658 1659 330 330 330 330 330 330 330 ( 6 , 18150 ) 27226 M 9072 9078 M ( 18 , 6050 ) 3016 3034 M 2 ( 30 , 3630 ) 1800 1830 M 30 ( 22 , 4950 ) ( 50 , 2178 ) ( 66 , 1650 ) ( 90 , 1210 ) 2464 1064 792 560 5450 M 2486 1114 858 650 6 2 10 M M M M 22 66 10 2 89 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1660 330 ( 110 , 990 ) 440 550 M 110 1662 330 ( 198 , 550 ) 176 374 M 22 1661 1663 330 330 ( 150 , 726 ) ( 242 , 450 ) 288 104 438 346 M 6 M 0 2 13 13 _____________________________________________________________________________ 1664 331 ( 1 , 109561 ) 54780 54781 P 1 1 0 1 _____________________________________________________________________________ 1665 332 ( 2 , 55112 ) 27555 1667 332 ( 8 , 13778 ) 6885 1666 1668 332 332 ( 4 , 27556 ) ( 166 , 664 ) 13776 249 27557 P 13780 6893 415 M P 1 M 1 2 83 4 2 4 _____________________________________________________________________________ 1669 333 ( 1 , 110889 ) 1671 333 ( 9 , 12321 ) 1670 1672 1673 1674 1675 333 333 333 333 333 55444 ( 3 , 36963 ) 18480 ( 27 , 4107 ) 2040 ( 81 , 1369 ) 644 ( 37 , 2997 ) ( 111 , 999 ) 6156 1480 444 55445 18483 6165 M 2067 1517 725 555 P 1 M 9 M P 3 3 M 1 M 2 37 111 5 7 _____________________________________________________________________________ 1676 334 ( 2 , 55778 ) 27888 27890 M 0 1 2 1 _____________________________________________________________________________ 90 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1677 335 ( 1 , 112225 ) 1679 335 ( 25 , 4489 ) 1678 1680 335 335 ( 5 , 22445 ) ( 67 , 1675 ) 56112 11220 2232 804 56113 P 11225 2257 871 M P 1 M 1 2 67 5 2 4 _____________________________________________________________________________ 1681 336 ( 2 , 56448 ) 28223 1683 336 ( 6 , 18816 ) 9405 9411 M ( 12 , 9408 ) 4698 4710 M 6 ( 16 , 7056 ) 3520 3536 M 16 1682 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697 1698 1699 1700 1701 336 336 336 336 336 336 336 336 336 336 336 336 336 336 336 336 336 336 336 ( 4 , 28224 ) ( 8 , 14112 ) ( 14 , 8064 ) ( 18 , 6272 ) ( 24 , 4704 ) ( 28 , 4032 ) ( 32 , 3528 ) ( 36 , 3136 ) ( 42 , 2688 ) ( 48 , 2352 ) ( 56 , 2016 ) ( 64 , 1764 ) ( 72 , 1568 ) ( 84 , 1344 ) ( 96 , 1176 ) ( 98 , 1152 ) ( 112 , 1008 ) 14110 7052 4025 3127 2340 2002 1748 1550 1323 1152 28225 14114 7060 630 540 527 448 1 12 14 M 1586 4 M 1365 820 7 M 1780 2 M 21 M M 48 28 914 M 2 714 M 42 636 625 560 M M P M 2 4 M 2030 748 3 P 2364 1036 M M 3145 1200 1 M 4039 980 850 P 4 12 1 112 91 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1702 336 ( 126 , 896 ) 385 511 M 1704 336 ( 144 , 784 ) 320 464 M 1703 1705 1706 1707 1708 1709 1710 1711 336 336 336 336 336 336 336 336 ( 128 , 882 ) ( 168 , 672 ) ( 192 , 588 ) ( 196 , 576 ) ( 224 , 504 ) ( 252 , 448 ) ( 288 , 392 ) ( 294 , 384 ) 377 252 198 190 140 505 P 420 1 16 M 390 84 M 386 364 7 6 M 2 M 28 98 350 M 14 45 339 M 3 52 340 M 4 4 27 31 _____________________________________________________________________________ 1712 337 ( 1 , 113569 ) 56784 56785 P 1 1 0 1 _____________________________________________________________________________ 1713 1714 338 338 ( 2 , 57122 ) ( 26 , 4394 ) 28560 2184 28562 2210 M M 2 0 26 2 2 _____________________________________________________________________________ 1715 339 ( 1 , 114921 ) 1717 339 ( 9 , 12769 ) 1716 1718 339 339 57460 ( 3 , 38307 ) 19152 ( 113 , 1017 ) 452 6380 57461 19155 6389 565 P P 1 M M 1 2 3 113 2 4 _____________________________________________________________________________ 1719 1720 340 340 ( 2 , 57800 ) ( 4 , 28900 ) 28899 14448 28901 14452 P M 1 4 92 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1721 340 ( 8 , 14450 ) 7221 7229 P 1723 340 ( 20 , 5780 ) 2880 2900 M 20 ( 40 , 2890 ) 1425 1465 M 5 1722 1724 1725 1726 1727 1728 1729 1730 1731 340 340 340 340 340 340 340 340 340 ( 10 , 11560 ) ( 34 , 3400 ) ( 50 , 2312 ) ( 68 , 1700 ) 5775 1683 1131 5785 M 1717 1181 M 816 884 M ( 136 , 850 ) 357 493 M ( 200 , 578 ) 189 389 P ( 100 , 1156 ) ( 170 , 680 ) 528 255 628 425 1 5 17 P 1 68 M 4 17 M 85 4 1 9 13 _____________________________________________________________________________ 1732 341 ( 1 , 116281 ) 1734 341 ( 31 , 3751 ) 1733 1735 341 341 ( 11 , 10571 ) ( 121 , 961 ) 58140 5280 1860 420 58141 5291 1891 541 M P P 1 11 M 2 31 1 2 4 _____________________________________________________________________________ 1736 342 ( 2 , 58482 ) 29240 1738 342 ( 18 , 6498 ) 3240 3258 M 18 ( 54 , 2166 ) 1056 1110 M 6 1737 1739 1740 1741 1742 342 342 342 342 342 ( 6 , 19494 ) ( 38 , 3078 ) ( 114 , 1026 ) ( 162 , 722 ) 9744 1520 456 280 29242 9750 M 1558 570 442 M 6 M 38 M M 2 114 0 2 7 7 93 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 1743 343 ( 1 , 117649 ) 1745 343 ( 49 , 2401 ) 1744 343 ( 7 , 16807 ) 58824 8400 1176 58825 8407 M 1225 P M 1 7 49 1 2 3 _____________________________________________________________________________ 1746 344 ( 2 , 59168 ) 29583 1748 344 ( 8 , 14792 ) 7392 1747 1749 1750 1751 1752 344 344 344 344 344 ( 4 , 29584 ) 14790 ( 16 , 7396 ) 3690 ( 86 , 1376 ) 645 ( 32 , 3698 ) ( 172 , 688 ) 1833 258 29585 P 14794 7400 M 3706 1865 731 430 1 M 8 M M 2 2 P 1 43 M 2 86 5 7 _____________________________________________________________________________ 1753 345 ( 1 , 119025 ) 1755 345 ( 5 , 23805 ) 1754 1756 1757 1758 1759 1760 1761 1762 1763 1764 345 345 345 345 345 345 345 345 345 345 59512 ( 3 , 39675 ) 19836 ( 9 , 13225 ) 6608 11900 59513 P 19839 M 11905 6617 P ( 15 , 7935 ) 3960 3975 M ( 25 , 4761 ) 2368 2393 P ( 23 , 5175 ) ( 45 , 2645 ) ( 69 , 1725 ) ( 75 , 1587 ) ( 115 , 1035 ) ( 207 , 575 ) 2576 1300 828 756 460 184 2599 1345 897 831 575 391 1 3 M 1 15 M M M M M M 5 23 1 69 3 5 115 23 94 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1765 345 ( 225 , 529 ) 152 377 P 4 1 9 13 _____________________________________________________________________________ 1766 346 ( 2 , 59858 ) 29928 29930 M 0 1 2 1 _____________________________________________________________________________ 1767 347 ( 1 , 120409 ) 60204 60205 P 1 1 0 1 _____________________________________________________________________________ 1768 348 ( 2 , 60552 ) 30275 30277 P 1770 348 ( 6 , 20184 ) 10089 10095 M 1769 1771 1772 1773 1774 1775 1776 1777 1778 1779 1780 348 348 348 348 348 348 348 348 348 348 348 ( 4 , 30276 ) ( 8 , 15138 ) 15136 15140 M 7565 7573 P ( 18 , 6728 ) 3355 3373 P ( 36 , 3364 ) 1664 1700 M ( 12 , 10092 ) ( 24 , 5046 ) ( 58 , 2088 ) ( 72 , 1682 ) ( 116 , 1044 ) ( 174 , 696 ) ( 232 , 522 ) 5040 2511 1015 5052 877 P 261 435 M 145 580 377 1 1 M 805 464 4 M 2535 1073 1 3 12 3 4 M 1 M 29 116 87 M 4 29 9 13 _____________________________________________________________________________ 1781 349 ( 1 , 121801 ) 60900 60901 P 1 0 1 1 _____________________________________________________________________________ 95 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1782 350 ( 2 , 61250 ) 30624 1784 350 ( 14 , 8750 ) 4368 ( 70 , 1750 ) 840 910 M 120 370 M 1783 1785 1786 1787 1788 350 350 350 350 350 ( 10 , 12250 ) ( 50 , 2450 ) ( 98 , 1250 ) ( 250 , 490 ) 6120 1200 576 30626 M 6130 M 4382 1250 674 2 10 M 14 M 70 M 50 2 0 10 7 7 _____________________________________________________________________________ 1789 351 ( 1 , 123201 ) 1791 351 ( 9 , 13689 ) 1790 1792 1793 1794 1795 1796 1797 1798 351 351 351 351 351 351 351 351 61600 61601 P ( 3 , 41067 ) 20532 ( 13 , 9477 ) 4732 4745 M 13 ( 39 , 3159 ) 1560 1599 M 39 ( 27 , 4563 ) ( 81 , 1521 ) ( 117 , 1053 ) ( 169 , 729 ) ( 243 , 507 ) 6840 2268 20535 1 6849 M 2295 801 M 280 449 P 132 585 375 9 M 720 468 M 3 27 9 M 1 M 2 117 3 8 10 _____________________________________________________________________________ 1799 352 ( 2 , 61952 ) 30975 1801 352 ( 8 , 15488 ) 7740 1800 1802 1803 1804 352 352 352 352 ( 4 , 30976 ) 15486 30977 15490 7748 P M M 1 4 2 ( 16 , 7744 ) 3864 3880 M 8 ( 32 , 3872 ) 1920 1952 M 32 ( 22 , 5632 ) 2805 2827 M 11 96 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1805 352 ( 44 , 2816 ) 1386 1807 352 ( 88 , 1408 ) 660 1806 1808 1809 1810 1811 352 352 352 352 352 ( 64 , 1936 ) ( 128 , 968 ) ( 176 , 704 ) ( 242 , 512 ) ( 256 , 484 ) 1430 936 1000 420 548 264 135 114 M M 8 748 M 44 440 M 88 377 370 M 22 4 P 1 M 2 2 11 13 _____________________________________________________________________________ 1812 353 ( 1 , 124609 ) 62304 62305 P 1 1 0 1 _____________________________________________________________________________ 1813 354 ( 2 , 62658 ) 31328 1815 354 ( 18 , 6962 ) 3472 1814 1816 354 354 ( 6 , 20886 ) ( 118 , 1062 ) 10440 472 31330 M 10446 3490 M 590 2 M M 2 0 6 118 4 4 _____________________________________________________________________________ 1817 355 ( 1 , 126025 ) 1819 355 ( 25 , 5041 ) 1818 1820 355 355 ( 5 , 25205 ) ( 71 , 1775 ) 63012 12600 2508 852 63013 12605 2533 923 M P P 1 M 1 2 71 5 2 4 _____________________________________________________________________________ 1821 356 ( 2 , 63368 ) 31683 1823 356 ( 8 , 15842 ) 7917 1822 356 ( 4 , 31684 ) 15840 31685 15844 7925 P P M 1 1 4 97 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1824 356 ( 178 , 712 ) 267 445 M 89 2 2 4 _____________________________________________________________________________ 1825 357 ( 1 , 127449 ) 1827 357 ( 7 , 18207 ) 1826 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 357 357 357 357 357 357 357 357 357 357 357 63724 ( 3 , 42483 ) 21240 ( 9 , 14161 ) 7076 63725 P 21243 1 M 9100 9107 M ( 17 , 7497 ) 3740 3757 M ( 49 , 2601 ) 1276 1325 P 1 M 7 ( 21 , 6069 ) ( 51 , 2499 ) ( 63 , 2023 ) 3024 1224 7085 ( 147 , 867 ) 360 507 ( 289 , 441 ) 76 ( 153 , 833 ) 476 340 365 17 21 M 595 493 1 M 1275 1043 ( 119 , 1071 ) P 3045 980 7 3 M 51 119 M 3 M P 4 1 17 9 13 _____________________________________________________________________________ 1838 358 ( 2 , 64082 ) 32040 32042 M 0 1 2 1 _____________________________________________________________________________ 1839 359 ( 1 , 128881 ) 64440 64441 P 1 0 1 1 _____________________________________________________________________________ 1840 360 ( 2 , 64800 ) 32399 32401 P 1842 360 ( 6 , 21600 ) 10797 10803 M 1841 360 ( 4 , 32400 ) 16198 16202 M 1 2 3 98 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1843 360 ( 8 , 16200 ) 1845 360 ( 12 , 10800 ) 1844 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 360 360 360 360 360 360 360 360 360 360 360 360 360 360 360 360 360 360 360 360 360 360 360 360 360 ( 10 , 12960 ) 8096 6475 5394 8104 M 6485 8 M 5406 5 M 6 ( 16 , 8100 ) 4042 4058 M 2 ( 20 , 6480 ) 3230 3250 M 10 ( 18 , 7200 ) ( 24 , 5400 ) ( 30 , 4320 ) ( 32 , 4050 ) ( 36 , 3600 ) ( 40 , 3240 ) ( 48 , 2700 ) ( 50 , 2592 ) ( 54 , 2400 ) ( 60 , 2160 ) ( 72 , 1800 ) ( 80 , 1620 ) ( 90 , 1440 ) ( 96 , 1350 ) ( 100 , 1296 ) ( 108 , 1200 ) ( 120 , 1080 ) 3591 2688 2145 2009 1782 1600 1326 1271 1173 1050 3609 M 2712 M 2175 1818 1374 1227 765 M 546 480 654 600 1 M 675 698 6 P M 598 40 M 1321 723 18 M 936 627 1 M 1640 850 15 P 864 770 24 M 2041 1110 9 M M M M 3 72 10 45 3 2 M M 6 120 ( 144 , 900 ) 378 522 M 18 ( 160 , 810 ) 325 485 M 5 ( 150 , 864 ) ( 162 , 800 ) ( 180 , 720 ) 357 319 270 507 481 450 M P M 30 3 1 90 99 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1870 360 ( 200 , 648 ) 224 424 M 8 1872 360 ( 240 , 540 ) 150 390 M 30 1871 1873 1874 1875 1876 360 360 360 360 360 ( 216 , 600 ) ( 270 , 480 ) ( 288 , 450 ) ( 300 , 432 ) ( 324 , 400 ) 192 105 408 375 M 24 M 81 369 M 9 38 362 M 2 66 366 M 15 6 4 33 37 _____________________________________________________________________________ 1877 1878 361 361 ( 1 , 130321 ) ( 19 , 6859 ) 65160 3420 65161 3439 P M 19 1 1 1 2 _____________________________________________________________________________ 1879 362 ( 2 , 65522 ) 32760 32762 M 0 1 2 1 _____________________________________________________________________________ 1880 363 ( 1 , 131769 ) 1882 363 ( 9 , 14641 ) 1881 1883 1884 1885 1886 363 363 363 363 363 65884 ( 3 , 43923 ) 21960 ( 11 , 11979 ) 5984 65885 P 21963 7316 7325 P ( 33 , 3993 ) 1980 2013 M ( 121 , 1089 ) 484 ( 99 , 1331 ) 616 5995 715 605 1 M 1 M M 11 M 2 3 11 33 121 5 7 _____________________________________________________________________________ 1887 1888 364 364 ( 2 , 66248 ) ( 4 , 33124 ) 33123 16560 33125 16564 P M 1 4 100 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1889 364 ( 8 , 16562 ) 1891 364 ( 26 , 5096 ) 1890 1892 1893 1894 1895 1896 1897 1898 1899 364 364 364 364 364 364 364 364 364 8277 8285 P ( 14 , 9464 ) 4725 4739 M ( 28 , 4732 ) 2352 2380 M ( 52 , 2548 ) ( 56 , 2366 ) ( 98 , 1352 ) 2535 1248 1155 2561 1300 1211 P ( 182 , 728 ) 273 455 M ( 338 , 392 ) 27 ( 196 , 676 ) 240 689 436 365 13 28 M 725 585 7 M 627 ( 104 , 1274 ) 1 52 M 1 M 7 13 91 M P 4 1 4 9 13 _____________________________________________________________________________ 1900 365 ( 1 , 133225 ) 1902 365 ( 25 , 5329 ) 1901 1903 365 365 ( 5 , 26645 ) ( 73 , 1825 ) 66612 13320 2652 876 66613 P 13325 2677 949 M P 1 M 1 2 73 5 2 4 _____________________________________________________________________________ 1904 366 ( 2 , 66978 ) 33488 1906 366 ( 18 , 7442 ) 3712 1905 1907 366 366 ( 6 , 22326 ) ( 122 , 1098 ) 11160 488 33490 11166 3730 610 M M 2 M M 2 0 6 122 4 4 _____________________________________________________________________________ 1908 367 ( 1 , 134689 ) 67344 67345 P 1 0 1 1 101 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 1909 368 ( 2 , 67712 ) 33855 1911 368 ( 8 , 16928 ) 8460 1910 1912 1913 1914 1915 1916 1917 1918 368 368 368 368 368 368 368 368 ( 4 , 33856 ) 16926 33857 P 16930 8468 M 1 M 4 2 ( 16 , 8464 ) 4224 4240 M 16 ( 46 , 2944 ) 1449 1495 M 23 ( 32 , 4232 ) ( 64 , 2116 ) ( 92 , 1472 ) ( 128 , 1058 ) ( 184 , 736 ) 2100 1026 2132 1090 M 690 782 M 276 460 M 465 593 4 M 46 P 2 1 2 92 8 10 _____________________________________________________________________________ 1919 369 ( 1 , 136161 ) 1921 369 ( 9 , 15129 ) 1920 1922 1923 1924 1925 369 369 369 369 369 68080 ( 3 , 45387 ) 22692 ( 27 , 5043 ) 2508 ( 81 , 1681 ) 800 ( 41 , 3321 ) ( 123 , 1107 ) 7560 1640 492 68081 P 22695 7569 M 2535 1681 881 615 1 M 9 M P 3 3 M 1 M 2 41 123 5 7 _____________________________________________________________________________ 1926 370 ( 2 , 68450 ) 34224 1928 370 ( 50 , 2738 ) 1344 1927 1929 370 370 ( 10 , 13690 ) ( 74 , 1850 ) 6840 888 34226 M 6850 1394 962 2 M M 10 M 0 74 2 4 4 102 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 1930 371 ( 1 , 137641 ) 1932 371 ( 49 , 2809 ) 1931 1933 371 371 ( 7 , 19663 ) ( 53 , 2597 ) 68820 9828 1380 1272 68821 9835 P M 1429 7 P 1325 1 1 M 53 2 2 4 _____________________________________________________________________________ 1934 372 ( 2 , 69192 ) 34595 34597 P 1936 372 ( 6 , 23064 ) 11529 11535 M 1935 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 372 372 372 372 372 372 372 372 372 372 372 ( 4 , 34596 ) ( 8 , 17298 ) 17296 17300 M 8645 8653 P ( 18 , 7688 ) 3835 3853 P ( 36 , 3844 ) 1904 1940 M ( 12 , 11532 ) ( 24 , 5766 ) ( 62 , 2232 ) ( 72 , 1922 ) ( 124 , 1116 ) ( 186 , 744 ) ( 248 , 558 ) 5760 2871 1085 5772 997 P 279 465 M 155 620 403 1 1 M 925 496 4 M 2895 1147 1 3 12 3 4 M 1 M 31 124 93 M 4 31 9 13 _____________________________________________________________________________ 1947 373 ( 1 , 139129 ) 69564 69565 P 1 1 0 1 _____________________________________________________________________________ 1948 1949 374 374 ( 2 , 69938 ) ( 22 , 6358 ) 34968 3168 34970 3190 M M 2 22 103 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1950 1951 374 374 ( 34 , 4114 ) ( 242 , 578 ) 2040 168 2074 410 M M 0 34 2 4 4 _____________________________________________________________________________ 1952 375 ( 1 , 140625 ) 1954 375 ( 5 , 28125 ) 1953 1955 1956 1957 1958 1959 1960 1961 375 375 375 375 375 375 375 375 70312 ( 3 , 46875 ) 23436 ( 9 , 15625 ) 7808 14060 70313 P 23439 M 14065 7817 P ( 15 , 9375 ) 4680 4695 M ( 45 , 3125 ) 1540 1585 M ( 25 , 5625 ) ( 75 , 1875 ) ( 125 , 1125 ) ( 225 , 625 ) 2800 2825 975 M 200 425 M 625 3 M 5 1 15 M 900 500 1 25 75 M 5 125 2 25 8 10 _____________________________________________________________________________ 1962 376 ( 2 , 70688 ) 35343 1964 376 ( 8 , 17672 ) 8832 1963 1965 1966 1967 1968 376 376 376 376 376 ( 4 , 35344 ) 17670 ( 16 , 8836 ) 4410 ( 94 , 1504 ) 705 ( 32 , 4418 ) ( 188 , 752 ) 2193 282 35345 P 17674 8840 M 4426 2225 799 470 1 M 8 M M 2 2 P 1 47 M 2 94 5 7 _____________________________________________________________________________ 1969 1970 377 377 ( 1 , 142129 ) ( 13 , 10933 ) 71064 5460 71065 5473 M P 1 13 104 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1971 1972 377 377 ( 29 , 4901 ) ( 169 , 841 ) 2436 336 2465 505 P M 2 29 1 2 4 _____________________________________________________________________________ 1973 378 ( 2 , 71442 ) 35720 35722 1975 378 ( 14 , 10206 ) 5096 5110 1974 1976 1977 1978 1979 1980 1981 1982 378 378 378 378 378 378 378 378 ( 6 , 23814 ) 11904 M 11910 2 M 6 M 14 ( 18 , 7938 ) 3960 3978 M 18 ( 54 , 2646 ) 1296 1350 M 54 ( 42 , 3402 ) ( 98 , 1458 ) ( 126 , 1134 ) ( 162 , 882 ) ( 294 , 486 ) 1680 1722 M 680 778 M 360 522 M 504 96 630 390 42 2 M 126 M 0 6 18 10 10 _____________________________________________________________________________ 1983 379 ( 1 , 143641 ) 71820 71821 P 1 1 0 1 _____________________________________________________________________________ 1984 380 ( 2 , 72200 ) 36099 1986 380 ( 8 , 18050 ) 9021 9029 P ( 20 , 7220 ) 3600 3620 M 20 ( 40 , 3610 ) 1785 1825 M 5 1985 1987 1988 1989 1990 1991 380 380 380 380 380 380 ( 4 , 36100 ) ( 10 , 14440 ) ( 38 , 3800 ) ( 50 , 2888 ) 18048 7215 1881 1419 36101 18052 7225 1919 1469 P M M M P 1 1 4 5 19 1 105 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 1992 380 ( 76 , 1900 ) 912 988 M 76 1994 380 ( 152 , 950 ) 399 551 M 19 ( 200 , 722 ) 261 461 P 1993 1995 1996 380 380 380 ( 100 , 1444 ) ( 190 , 760 ) 672 285 772 475 M 4 M 95 4 1 9 13 _____________________________________________________________________________ 1997 381 ( 1 , 145161 ) 1999 381 ( 9 , 16129 ) 1998 2000 381 381 72580 ( 3 , 48387 ) 24192 ( 127 , 1143 ) 508 8060 72581 24195 8069 635 P P 1 M M 3 1 2 127 2 4 _____________________________________________________________________________ 2001 382 ( 2 , 72962 ) 36480 36482 M 0 1 2 1 _____________________________________________________________________________ 2002 383 ( 1 , 146689 ) 73344 73345 P 1 1 0 1 _____________________________________________________________________________ 2003 384 ( 2 , 73728 ) 36863 36865 P 2005 384 ( 6 , 24576 ) 12285 12291 M 2004 2006 2007 2008 2009 2010 384 384 384 384 384 384 ( 4 , 36864 ) ( 8 , 18432 ) 18430 18434 M 9212 9220 M ( 16 , 9216 ) 4600 4616 M ( 24 , 6144 ) 3060 3084 M ( 12 , 12288 ) ( 18 , 8192 ) 6138 4087 6150 4105 1 M P 2 4 3 6 8 1 12 106 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2011 384 ( 32 , 4608 ) 2288 2320 M 16 2013 384 ( 48 , 3072 ) 1512 1560 M 24 2012 2014 2015 2016 2017 2018 2019 2020 2021 384 384 384 384 384 384 384 384 384 ( 36 , 4096 ) ( 64 , 2304 ) ( 72 , 2048 ) ( 96 , 1536 ) ( 128 , 1152 ) ( 144 , 1024 ) 2030 1120 988 720 512 440 2066 M 1184 1060 816 640 584 2 M M 4 M 48 M 128 M 8 ( 192 , 768 ) 288 480 M 96 ( 288 , 512 ) 112 400 M 16 ( 256 , 576 ) 160 416 32 M 32 2 17 19 _____________________________________________________________________________ 2022 385 ( 1 , 148225 ) 2024 385 ( 7 , 21175 ) 2023 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 385 385 385 385 385 385 385 385 385 385 385 74112 74113 ( 5 , 29645 ) 14820 14825 ( 11 , 13475 ) 6732 6743 10584 P 1 M 10591 5 M 7 M ( 25 , 5929 ) 2952 2977 P 1 ( 49 , 3025 ) 1488 1537 P 1 ( 35 , 4235 ) ( 55 , 2695 ) ( 77 , 1925 ) 2100 1320 2135 1375 M 35 M 55 924 1001 ( 175 , 847 ) 336 511 M 7 ( 275 , 539 ) 132 407 M 11 ( 121 , 1225 ) ( 245 , 605 ) 552 180 673 425 11 M 77 P 1 M 5 4 9 13 107 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 2035 386 ( 2 , 74498 ) 37248 37250 M 0 1 2 1 _____________________________________________________________________________ 2036 387 ( 1 , 149769 ) 2038 387 ( 9 , 16641 ) 2037 2039 2040 2041 2042 387 387 387 387 387 74884 ( 3 , 49923 ) 24960 ( 27 , 5547 ) 2760 ( 81 , 1849 ) 884 ( 43 , 3483 ) ( 129 , 1161 ) 8316 1720 516 74885 P 24963 8325 M 2787 1763 965 645 1 M 9 M P 3 3 M 1 M 2 43 129 5 7 _____________________________________________________________________________ 2043 388 ( 2 , 75272 ) 37635 2045 388 ( 8 , 18818 ) 9405 2044 2046 388 388 ( 4 , 37636 ) ( 194 , 776 ) 18816 291 37637 P 18820 9413 485 M P 1 M 4 1 2 97 2 4 _____________________________________________________________________________ 2047 389 ( 1 , 151321 ) 75660 75661 P 1 1 0 1 _____________________________________________________________________________ 2048 390 ( 2 , 76050 ) 38024 38026 2050 390 ( 10 , 15210 ) 7600 7610 2049 2051 2052 390 390 390 ( 6 , 25350 ) ( 18 , 8450 ) ( 26 , 5850 ) 12672 4216 2912 12678 4234 2938 M M M M M 2 6 10 2 26 108 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2053 390 ( 30 , 5070 ) 2520 2055 390 ( 78 , 1950 ) 936 2054 2056 2057 2058 2059 2060 390 390 390 390 390 390 ( 50 , 3042 ) ( 90 , 1690 ) ( 130 , 1170 ) ( 150 , 1014 ) ( 234 , 650 ) ( 338 , 450 ) 1496 800 520 432 208 56 2550 M 1546 M 1014 78 M 650 10 M 582 394 2 M 890 442 30 130 M 6 M M 0 2 26 13 13 _____________________________________________________________________________ 2061 391 ( 1 , 152881 ) 2063 391 ( 23 , 6647 ) 2062 2064 391 391 76440 ( 17 , 8993 ) 4488 ( 289 , 529 ) 120 3312 76441 4505 3335 409 P M P 17 M 2 1 23 1 2 4 _____________________________________________________________________________ 2065 392 ( 2 , 76832 ) 38415 2067 392 ( 8 , 19208 ) 9600 9608 M ( 16 , 9604 ) 4794 4810 M ( 32 , 4802 ) 2385 2417 P 2066 2068 2069 2070 2071 2072 2073 2074 2075 392 392 392 392 392 392 392 392 392 ( 4 , 38416 ) ( 14 , 10976 ) ( 28 , 5488 ) ( 56 , 2744 ) ( 98 , 1568 ) ( 112 , 1372 ) ( 196 , 784 ) 19206 5481 2730 1344 38417 P 19210 5495 M 735 833 M 294 490 M 630 742 M 8 M 2758 1400 1 M M 2 7 2 14 1 49 56 14 98 109 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2076 392 ( 224 , 686 ) 231 455 M 2 7 10 12 _____________________________________________________________________________ 2077 393 ( 1 , 154449 ) 2079 393 ( 9 , 17161 ) 2078 2080 393 393 77224 ( 3 , 51483 ) 25740 ( 131 , 1179 ) 524 8576 77225 25743 8585 655 P P 1 M M 3 1 2 131 2 4 _____________________________________________________________________________ 2081 394 ( 2 , 77618 ) 38808 38810 M 0 1 2 1 _____________________________________________________________________________ 2082 395 ( 1 , 156025 ) 2084 395 ( 25 , 6241 ) 2083 2085 395 395 ( 5 , 31205 ) ( 79 , 1975 ) 78012 15600 3108 948 78013 15605 3133 1027 P P 1 M M 5 1 2 79 2 4 _____________________________________________________________________________ 2086 396 ( 2 , 78408 ) 39203 39205 P 2088 396 ( 6 , 26136 ) 13065 13071 M 2087 2089 2090 2091 2092 2093 2094 396 396 396 396 396 396 396 ( 4 , 39204 ) ( 8 , 19602 ) 19600 19604 1 M 4 9797 9805 P ( 18 , 8712 ) 4347 4365 M 9 ( 24 , 6534 ) 3255 3279 M 3 ( 12 , 13068 ) ( 22 , 7128 ) ( 36 , 4356 ) 6528 3553 2160 6540 3575 2196 M M M 1 3 12 11 36 110 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2095 396 ( 44 , 3564 ) 1760 1804 M 44 2097 396 ( 66 , 2376 ) 1155 1221 M 33 2096 2098 2099 2100 2101 2102 2103 2104 2105 2106 2107 396 396 396 396 396 396 396 396 396 396 396 ( 54 , 2904 ) ( 72 , 2178 ) ( 88 , 1782 ) ( 108 , 1452 ) ( 132 , 1188 ) 1425 1053 847 672 528 1479 M 1125 935 M 780 660 565 P ( 216 , 726 ) 255 471 M ( 242 , 648 ) ( 264 , 594 ) ( 324 , 484 ) 203 165 80 495 404 9 12 1 M 445 429 11 M 403 297 M M ( 162 , 968 ) ( 198 , 792 ) 3 132 99 3 P 1 M 4 M 4 33 18 22 _____________________________________________________________________________ 2108 397 ( 1 , 157609 ) 78804 78805 P 1 1 0 1 _____________________________________________________________________________ 2109 398 ( 2 , 79202 ) 39600 39602 M 0 1 2 1 _____________________________________________________________________________ 2110 399 ( 1 , 159201 ) 2112 399 ( 7 , 22743 ) 2111 2113 2114 2115 399 399 399 399 79600 ( 3 , 53067 ) 26532 ( 9 , 17689 ) 8840 ( 19 , 8379 ) ( 21 , 7581 ) 11368 4180 3780 79601 P 26535 11375 8849 4199 3801 1 M P M M M 3 1 7 19 21 111 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2116 399 ( 49 , 3249 ) 1600 1649 P 2118 399 ( 63 , 2527 ) 1232 1295 M 2117 2119 2120 2121 2122 399 399 399 399 399 ( 57 , 2793 ) ( 133 , 1197 ) ( 147 , 1083 ) ( 171 , 931 ) ( 361 , 441 ) 1368 532 468 380 40 1425 M 665 401 57 7 M 615 551 1 133 M 3 M P 4 1 19 9 13 _____________________________________________________________________________ 2123 400 ( 2 , 80000 ) 39999 2125 400 ( 8 , 20000 ) 9996 2124 2126 2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 400 400 400 400 400 400 400 400 400 400 400 400 400 400 400 ( 4 , 40000 ) ( 10 , 16000 ) ( 16 , 10000 ) 19998 7995 4992 40001 P 1 10004 M 4 5008 M 20002 M 8005 2 M 5 16 ( 20 , 8000 ) 3990 4010 M 10 ( 40 , 4000 ) 1980 2020 M 20 ( 32 , 5000 ) ( 50 , 3200 ) ( 64 , 2500 ) ( 80 , 2000 ) ( 100 , 1600 ) ( 128 , 1250 ) ( 160 , 1000 ) 2484 1575 1218 960 750 561 420 ( 200 , 800 ) 300 ( 320 , 500 ) 90 ( 250 , 640 ) 195 2516 M 1625 M 1282 M 689 P 850 500 445 410 25 M 1040 580 4 2 80 M 50 1 M 20 M 100 M M 5 2 10 15 17 112 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 2140 401 ( 1 , 160801 ) 80400 80401 P 1 1 0 1 _____________________________________________________________________________ 2141 402 ( 2 , 80802 ) 40400 2143 402 ( 18 , 8978 ) 4480 2142 2144 402 402 ( 6 , 26934 ) ( 134 , 1206 ) 13464 536 40402 M 13470 4498 M 670 2 M M 2 6 134 0 4 4 _____________________________________________________________________________ 2145 403 ( 1 , 162409 ) 2147 403 ( 31 , 5239 ) 2146 2148 403 403 ( 13 , 12493 ) ( 169 , 961 ) 81204 6240 2604 396 81205 6253 2635 565 P M P 1 13 M 2 1 31 2 4 _____________________________________________________________________________ 2149 404 ( 2 , 81608 ) 40803 40805 P 1 2151 404 ( 8 , 20402 ) 10197 10205 P 1 2150 2152 404 404 ( 4 , 40804 ) ( 202 , 808 ) 20400 303 20404 505 M M 4 2 101 2 4 _____________________________________________________________________________ 2153 405 ( 1 , 164025 ) 2155 405 ( 5 , 32805 ) 2154 2156 2157 405 405 405 82012 ( 3 , 54675 ) 27336 ( 9 , 18225 ) 9108 ( 15 , 10935 ) 16400 5460 82013 P 27339 16405 9117 5475 1 M M M M 3 9 5 15 113 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2158 405 ( 25 , 6561 ) 3268 3293 P 2160 405 ( 45 , 3645 ) 1800 1845 M 2159 2161 2162 2163 2164 2165 405 405 405 405 405 405 ( 27 , 6075 ) ( 75 , 2187 ) ( 81 , 2025 ) ( 135 , 1215 ) ( 225 , 729 ) ( 243 , 675 ) 3024 1056 3051 1053 252 477 540 216 M 1131 972 675 459 1 27 45 M 3 M 81 M 135 M 9 M 2 27 11 13 _____________________________________________________________________________ 2166 406 ( 2 , 82418 ) 41208 2168 406 ( 58 , 2842 ) 1392 2167 2169 406 406 ( 14 , 11774 ) ( 98 , 1682 ) 5880 792 41210 M 5894 1450 890 2 M M 14 M 0 2 58 4 4 _____________________________________________________________________________ 2170 407 ( 1 , 165649 ) 2172 407 ( 37 , 4477 ) 2171 2173 407 407 ( 11 , 15059 ) ( 121 , 1369 ) 82824 7524 2220 624 82825 7535 2257 745 M P 1 11 M P 2 1 37 2 4 _____________________________________________________________________________ 2174 408 ( 2 , 83232 ) 41615 41617 P 2176 408 ( 6 , 27744 ) 13869 13875 M 2175 2177 2178 408 408 408 ( 4 , 41616 ) ( 8 , 20808 ) ( 12 , 13872 ) 20806 10400 6930 20810 10408 6942 M M M 1 2 3 8 6 114 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2179 408 ( 16 , 10404 ) 2181 408 ( 24 , 6936 ) 2180 2182 2183 2184 2185 2186 2187 2188 2189 2190 2191 2192 2193 2194 2195 408 408 408 408 408 408 408 408 408 408 408 408 408 408 408 5194 5210 M ( 18 , 9248 ) 4615 4633 P 1 ( 32 , 5202 ) 2585 2617 P 1 ( 34 , 4896 ) ( 36 , 4624 ) ( 48 , 3468 ) ( 68 , 2448 ) ( 72 , 2312 ) ( 96 , 1734 ) ( 102 , 1632 ) ( 136 , 1224 ) ( 144 , 1156 ) 3456 2431 2294 1710 1190 1120 819 765 544 506 3480 M 2465 867 M M ( 288 , 578 ) 145 433 P ( 306 , 544 ) 119 425 3 8 51 136 M 510 442 M M 306 170 34 M ( 204 , 816 ) ( 272 , 612 ) 6 M 680 650 2 M 1258 915 17 M 1758 1192 24 M 2330 2 2 102 M 34 1 M 4 17 18 22 _____________________________________________________________________________ 2196 409 ( 1 , 167281 ) 83640 83641 P 1 0 1 1 _____________________________________________________________________________ 2197 410 ( 2 , 84050 ) 42024 2199 410 ( 50 , 3362 ) 1656 2198 2200 410 410 ( 10 , 16810 ) ( 82 , 2050 ) 8400 984 42026 8410 1706 1066 M 2 M 10 M M 2 0 82 4 4 115 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 2201 411 ( 1 , 168921 ) 2203 411 ( 9 , 18769 ) 2202 2204 411 411 84460 ( 3 , 56307 ) 28152 ( 137 , 1233 ) 548 9380 84461 P 28155 9389 P 685 1 M M 1 2 3 137 2 4 _____________________________________________________________________________ 2205 412 ( 2 , 84872 ) 42435 42437 P 1 2207 412 ( 8 , 21218 ) 10605 10613 P 1 2206 2208 412 412 ( 4 , 42436 ) ( 206 , 824 ) 21216 309 21220 515 M M 4 2 103 2 4 _____________________________________________________________________________ 2209 413 ( 1 , 170569 ) 2211 413 ( 49 , 3481 ) 2210 2212 413 413 ( 7 , 24367 ) ( 59 , 2891 ) 85284 12180 1716 1416 85285 12187 1765 1475 P P 1 M M 1 7 59 2 2 4 _____________________________________________________________________________ 2213 414 ( 2 , 85698 ) 42848 2215 414 ( 18 , 9522 ) 4752 4770 M ( 54 , 3174 ) 1560 1614 M 2214 2216 2217 2218 2219 414 414 414 414 414 ( 6 , 28566 ) ( 46 , 3726 ) ( 138 , 1242 ) ( 162 , 1058 ) 14280 1840 552 448 42850 14286 1886 690 610 M 2 M 6 18 M 46 6 M M 138 0 2 7 7 116 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 2220 415 ( 1 , 172225 ) 2222 415 ( 25 , 6889 ) 2221 2223 415 415 ( 5 , 34445 ) ( 83 , 2075 ) 86112 17220 3432 996 86113 P 17225 3457 P 1079 1 M M 5 1 83 2 2 4 _____________________________________________________________________________ 2224 416 ( 2 , 86528 ) 43263 43265 P 2226 416 ( 8 , 21632 ) 10812 10820 M 2225 2227 2228 2229 2230 2231 2232 2233 2234 2235 2236 416 416 416 416 416 416 416 416 416 416 416 ( 4 , 43264 ) ( 16 , 10816 ) 21630 5400 21634 1 M 5416 2 4 M 8 ( 26 , 6656 ) 3315 3341 M 13 ( 52 , 3328 ) 1638 1690 M 26 ( 32 , 5408 ) ( 64 , 2704 ) ( 104 , 1664 ) ( 128 , 1352 ) 2688 1320 780 612 ( 208 , 832 ) 312 ( 338 , 512 ) 87 ( 256 , 676 ) 210 2720 M 1384 M 884 52 M 520 425 8 M 740 466 32 4 M 104 M P 2 1 2 11 13 _____________________________________________________________________________ 2237 417 ( 1 , 173889 ) 2239 417 ( 9 , 19321 ) 2238 2240 417 417 86944 ( 3 , 57963 ) 28980 ( 139 , 1251 ) 556 9656 86945 28983 9665 695 P P M 1 M 1 2 3 139 2 4 117 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 2241 418 ( 2 , 87362 ) 2243 418 ( 38 , 4598 ) 2242 2244 418 418 43680 ( 22 , 7942 ) 3960 ( 242 , 722 ) 240 2280 43682 3982 2318 482 M M M 2 22 M 0 2 38 4 4 _____________________________________________________________________________ 2245 419 ( 1 , 175561 ) 87780 87781 P 1 1 0 1 _____________________________________________________________________________ 2246 420 ( 2 , 88200 ) 44099 44101 P 2248 420 ( 6 , 29400 ) 14697 14703 M 2247 2249 2250 2251 2252 2253 2254 2255 2256 2257 2258 2259 2260 2261 2262 420 420 420 420 420 420 420 420 420 420 420 420 420 420 420 ( 4 , 44100 ) ( 8 , 22050 ) ( 10 , 17640 ) ( 12 , 14700 ) ( 14 , 12600 ) 22048 11021 22052 11029 M M 5 6293 6307 M 7 7344 7356 M P ( 24 , 7350 ) 3663 3687 M ( 36 , 4900 ) ( 40 , 4410 ) ( 42 , 4200 ) ( 50 , 3528 ) ( 56 , 3150 ) 1 8825 4909 ( 30 , 5880 ) 3 8815 4891 ( 28 , 6300 ) 4 P ( 18 , 9800 ) ( 20 , 8820 ) 1 4400 3136 2925 2432 2185 2079 1739 1547 4420 3164 2955 2468 2225 2121 1789 1603 M M M M M M P M 12 1 20 3 28 15 4 5 21 1 7 118 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2263 420 ( 60 , 2940 ) 1440 1500 M 2265 420 ( 72 , 2450 ) 1189 1261 P 1 M 5 2264 2266 2267 2268 2269 2270 2271 2272 2273 2274 2275 2276 2277 2278 2279 2280 2281 2282 2283 2284 2285 420 420 420 420 420 420 420 420 420 420 420 420 420 420 420 420 420 420 420 420 420 ( 70 , 2520 ) ( 84 , 2100 ) ( 90 , 1960 ) ( 98 , 1800 ) ( 100 , 1764 ) ( 120 , 1470 ) ( 126 , 1400 ) ( 140 , 1260 ) ( 150 , 1176 ) ( 168 , 1050 ) 1225 1008 935 851 832 675 637 560 513 441 1295 M 1092 1025 949 932 P M 763 700 ( 200 , 882 ) 341 541 P ( 210 , 840 ) ( 252 , 700 ) ( 280 , 630 ) ( 294 , 600 ) ( 300 , 588 ) ( 350 , 504 ) ( 360 , 490 ) ( 392 , 450 ) 315 224 175 153 144 525 476 455 447 444 20 4 1 M 105 M 28 M 35 M 3 M 427 M 29 421 P 425 21 M 77 65 3 M M 548 140 M 580 4 7 M 663 84 15 M 400 352 1 M ( 180 , 980 ) ( 196 , 900 ) 35 M 795 609 60 7 M 12 5 8 1 32 40 _____________________________________________________________________________ 2286 421 ( 1 , 177241 ) 88620 88621 P 1 0 1 1 119 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 2287 422 ( 2 , 89042 ) 44520 44522 M 0 1 2 1 _____________________________________________________________________________ 2288 423 ( 1 , 178929 ) 2290 423 ( 9 , 19881 ) 2289 2291 2292 2293 2294 423 423 423 423 423 89464 89465 P ( 3 , 59643 ) 29820 ( 27 , 6627 ) 3300 3327 M ( 81 , 2209 ) 1064 1145 P ( 47 , 3807 ) ( 141 , 1269 ) 9936 1880 564 29823 9945 M 1927 1 M 9 3 M 705 3 47 1 M 2 141 5 7 _____________________________________________________________________________ 2295 424 ( 2 , 89888 ) 44943 44945 P 2297 424 ( 8 , 22472 ) 11232 11240 M 2296 2298 2299 2300 2301 424 424 424 424 424 ( 4 , 44944 ) ( 16 , 11236 ) 22470 5610 ( 32 , 5618 ) 2793 ( 212 , 848 ) 318 ( 106 , 1696 ) 795 22474 M 5626 530 2 8 M 2825 901 1 P 1 M 2 53 M 2 106 5 7 _____________________________________________________________________________ 2302 425 ( 1 , 180625 ) 2304 425 ( 17 , 10625 ) 2303 2305 2306 425 425 425 90312 ( 5 , 36125 ) 18060 ( 25 , 7225 ) 3600 ( 85 , 2125 ) 5304 1020 90313 18065 5321 3625 1105 P M M M M 1 5 17 25 85 120 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2307 2308 425 425 ( 125 , 1445 ) ( 289 , 625 ) 660 168 785 457 M P 2 1 5 5 7 _____________________________________________________________________________ 2309 426 ( 2 , 90738 ) 45368 45370 2311 426 ( 18 , 10082 ) 5032 5050 2310 2312 426 426 ( 6 , 30246 ) ( 142 , 1278 ) 15120 568 M 15126 2 M 710 M 6 M 2 0 142 4 4 _____________________________________________________________________________ 2313 427 ( 1 , 182329 ) 2315 427 ( 49 , 3721 ) 2314 2316 427 427 ( 7 , 26047 ) ( 61 , 2989 ) 91164 13020 1836 1464 91165 13027 1885 P P 1525 1 M M 7 1 2 61 2 4 _____________________________________________________________________________ 2317 428 ( 2 , 91592 ) 45795 45797 P 1 2319 428 ( 8 , 22898 ) 11445 11453 P 1 2318 2320 428 428 ( 4 , 45796 ) ( 214 , 856 ) 22896 321 22900 535 M M 4 2 107 2 4 _____________________________________________________________________________ 2321 429 ( 1 , 184041 ) 2323 429 ( 9 , 20449 ) 2322 2324 2325 429 429 429 92020 92021 ( 3 , 61347 ) 30672 30675 ( 11 , 16731 ) 8360 8371 ( 13 , 14157 ) 10220 7072 10229 7085 P M P M M 1 3 1 11 13 121 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2326 429 ( 33 , 5577 ) 2772 2328 429 ( 99 , 1859 ) 880 2327 2329 2330 2331 2332 2333 429 429 429 429 429 429 ( 39 , 4719 ) ( 117 , 1573 ) ( 121 , 1521 ) ( 143 , 1287 ) ( 169 , 1089 ) ( 363 , 507 ) 2340 728 700 572 460 72 2805 M 2379 979 M 845 715 435 M 11 M 821 629 33 13 P 1 P 1 M M 39 143 4 3 9 13 _____________________________________________________________________________ 2334 430 ( 2 , 92450 ) 46224 2336 430 ( 50 , 3698 ) 1824 2335 2337 430 430 ( 10 , 18490 ) ( 86 , 2150 ) 9240 1032 46226 9250 1874 1118 M 2 M 10 M 2 M 0 86 4 4 _____________________________________________________________________________ 2338 431 ( 1 , 185761 ) 92880 92881 P 1 1 0 1 _____________________________________________________________________________ 2339 432 ( 2 , 93312 ) 46655 46657 P 2341 432 ( 6 , 31104 ) 15549 15555 M 2340 2342 2343 2344 2345 2346 432 432 432 432 432 432 ( 4 , 46656 ) ( 8 , 23328 ) ( 12 , 15552 ) ( 16 , 11664 ) ( 18 , 10368 ) ( 24 , 7776 ) 23326 11660 23330 11668 M M 1 2 3 4 7770 7782 M 6 5175 5193 M 9 5824 3876 5840 3900 M M 16 12 122 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2347 432 ( 32 , 5832 ) 2900 2932 M 4 2349 432 ( 48 , 3888 ) 1920 1968 M 48 2348 2350 2351 2352 2353 2354 2355 2356 2357 2358 2359 2360 2361 2362 432 432 432 432 432 432 432 432 432 432 432 432 432 432 ( 36 , 5184 ) ( 54 , 3456 ) ( 64 , 2916 ) ( 72 , 2592 ) ( 96 , 1944 ) ( 108 , 1728 ) ( 128 , 1458 ) ( 144 , 1296 ) ( 162 , 1152 ) 2574 1701 1426 1260 924 810 665 576 495 2610 M 1755 18 M 1490 27 M 1332 2 M 1020 M 793 P 918 36 12 M 720 54 1 M 657 144 M 9 ( 192 , 972 ) 390 582 M 6 ( 288 , 648 ) 180 468 M 36 ( 216 , 864 ) ( 324 , 576 ) ( 384 , 486 ) 324 126 51 540 450 435 M 108 M M 2 3 18 22 24 _____________________________________________________________________________ 2363 433 ( 1 , 187489 ) 93744 93745 P 1 1 0 1 _____________________________________________________________________________ 2364 434 ( 2 , 94178 ) 47088 2366 434 ( 62 , 3038 ) 1488 2365 2367 434 434 ( 14 , 13454 ) ( 98 , 1922 ) 6720 912 47090 6734 1550 1010 M 2 M 14 M M 0 2 62 4 4 _____________________________________________________________________________ 123 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2368 435 ( 1 , 189225 ) 2370 435 ( 5 , 37845 ) 2369 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 435 435 435 435 435 435 435 435 435 435 435 94612 94613 P ( 3 , 63075 ) 31536 31539 M ( 9 , 21025 ) 10508 10517 P ( 15 , 12615 ) 18920 6300 18925 6315 3797 P ( 45 , 4205 ) 2080 2125 M ( 75 , 2523 ) ( 87 , 2175 ) ( 145 , 1305 ) ( 225 , 841 ) ( 261 , 725 ) 1224 1044 580 308 232 5 1 M 3772 3248 3 M ( 25 , 7569 ) ( 29 , 6525 ) 1 3277 1 M 1299 29 5 M 1131 3 M 725 87 M 533 P 493 15 1 M 145 29 4 9 13 _____________________________________________________________________________ 2381 436 ( 2 , 95048 ) 47523 47525 P 1 2383 436 ( 8 , 23762 ) 11877 11885 P 1 2382 2384 436 436 ( 4 , 47524 ) ( 218 , 872 ) 23760 327 23764 545 M M 4 109 2 2 4 _____________________________________________________________________________ 2385 437 ( 1 , 190969 ) 2387 437 ( 23 , 8303 ) 2386 2388 437 437 ( 19 , 10051 ) ( 361 , 529 ) 95484 5016 4140 84 95485 5035 4163 445 P M P 1 19 M 2 1 23 2 4 _____________________________________________________________________________ 124 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2389 438 ( 2 , 95922 ) 47960 47962 2391 438 ( 18 , 10658 ) 5320 5338 2390 2392 438 438 ( 6 , 31974 ) ( 146 , 1314 ) 15984 584 M 15990 2 M 730 M 6 M 2 0 146 4 4 _____________________________________________________________________________ 2393 439 ( 1 , 192721 ) 96360 96361 P 1 1 0 1 _____________________________________________________________________________ 2394 440 ( 2 , 96800 ) 48399 48401 P 2396 440 ( 8 , 24200 ) 12096 12104 M 2395 2397 2398 2399 2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 440 440 440 440 440 440 440 440 440 440 440 440 440 440 440 440 ( 4 , 48400 ) ( 10 , 19360 ) ( 16 , 12100 ) 24198 9675 6042 24202 M 9685 6058 4850 M ( 32 , 6050 ) 3009 3041 P ( 40 , 4840 ) ( 44 , 4400 ) ( 50 , 3872 ) ( 80 , 2420 ) ( 88 , 2200 ) ( 100 , 1936 ) ( 110 , 1760 ) ( 160 , 1210 ) ( 176 , 1100 ) ( 200 , 968 ) 2400 2178 1911 1170 1056 918 825 525 462 384 4411 5 2 10 M 2440 11 1 M 2222 40 M 1961 22 P 1250 1 M 1144 1018 8 M 4830 4389 2 M ( 20 , 9680 ) ( 22 , 8800 ) 1 10 M M 88 2 935 M 55 638 M 22 685 584 M M 5 8 125 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2412 440 ( 220 , 880 ) 330 2414 440 ( 352 , 550 ) 99 2413 2415 440 440 ( 242 , 800 ) ( 400 , 484 ) 279 42 550 521 451 442 M 110 P 1 M 11 M 4 2 18 22 _____________________________________________________________________________ 2416 441 ( 1 , 194481 ) 2418 441 ( 7 , 27783 ) 2417 2419 2420 2421 2422 2423 2424 2425 2426 2427 441 441 441 441 441 441 441 441 441 441 97240 97241 P 1 ( 3 , 64827 ) 32412 32415 M 3 ( 9 , 21609 ) 10800 10809 M 9 13888 13895 M ( 21 , 9261 ) 4620 4641 M ( 49 , 3969 ) 1960 2009 M ( 27 , 7203 ) ( 63 , 3087 ) ( 81 , 2401 ) ( 147 , 1323 ) ( 189 , 1029 ) ( 343 , 567 ) 3588 1512 1160 588 420 112 3615 3 49 M 1241 63 P 735 455 21 M 1575 609 7 1 M 147 M 21 M 2 7 10 12 _____________________________________________________________________________ 2428 442 ( 2 , 97682 ) 2430 442 ( 34 , 5746 ) 2429 2431 442 442 48840 ( 26 , 7514 ) 3744 ( 338 , 578 ) 120 2856 48842 3770 2890 458 M M M 2 26 M 0 2 34 4 4 _____________________________________________________________________________ 2432 443 ( 1 , 196249 ) 98124 98125 P 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 126 1 0 1 _____________________________________________________________________________ 2433 444 ( 2 , 98568 ) 49283 49285 P 2435 444 ( 6 , 32856 ) 16425 16431 M 2434 2436 2437 2438 2439 2440 2441 2442 2443 2444 2445 444 444 444 444 444 444 444 444 444 444 444 ( 4 , 49284 ) ( 8 , 24642 ) ( 12 , 16428 ) ( 18 , 10952 ) 24640 12317 8208 5467 24644 M 12325 8220 5485 M ( 72 , 2738 ) 1333 1405 P ( 148 , 1332 ) ( 222 , 888 ) ( 296 , 666 ) 1295 592 333 185 2756 555 481 12 1 3 M 1369 740 1 P 4119 ( 74 , 2664 ) 3 M 4095 2720 4 P ( 24 , 8214 ) ( 36 , 5476 ) 1 4 1 M 37 M 148 M 111 M 4 37 9 13 _____________________________________________________________________________ 2446 445 ( 1 , 198025 ) 2448 445 ( 25 , 7921 ) 2447 2449 445 445 ( 5 , 39605 ) ( 89 , 2225 ) 99012 19800 3948 1068 99013 19805 3973 1157 P P 1 M M 1 2 5 89 2 4 _____________________________________________________________________________ 2450 446 ( 2 , 99458 ) 49728 49730 M 0 1 2 1 _____________________________________________________________________________ 2451 447 ( 1 , 199809 ) 99904 99905 P 1 127 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2452 447 ( 3 , 66603 ) 33300 2454 447 ( 149 , 1341 ) 596 2453 447 ( 9 , 22201 ) 33303 11096 M 11105 745 3 P M 1 149 2 2 4 _____________________________________________________________________________ 2455 448 ( 2 , 100352 ) 2457 448 ( 8 , 25088 ) 2456 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469 2470 448 448 448 448 448 448 448 448 448 448 448 448 448 448 50175 50177 ( 4 , 50176 ) 25086 25090 ( 14 , 14336 ) 7161 7175 ( 16 , 12544 ) 12540 P M 12548 6264 1 2 M 4 M 6280 7 M 8 ( 28 , 7168 ) 3570 3598 M 14 ( 56 , 3584 ) 1764 1820 M 28 ( 32 , 6272 ) ( 64 , 3136 ) ( 98 , 2048 ) ( 112 , 1792 ) ( 128 , 1568 ) ( 196 , 1024 ) 3120 1536 840 414 ( 392 , 512 ) 60 264 1073 P 848 M 610 560 520 452 16 M 952 720 336 M 1600 975 ( 224 , 896 ) ( 256 , 784 ) 3152 1 M 64 56 16 M 2 M 112 M M 2 4 8 14 16 _____________________________________________________________________________ 2471 449 ( 1 , 201601 ) 100800 100801 P 1 1 0 1 _____________________________________________________________________________ 2472 450 ( 2 , 101250 ) 50624 50626 M 2 128 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2473 450 ( 6 , 33750 ) 16872 16878 2475 450 ( 18 , 11250 ) 5616 5634 2474 2476 2477 2478 2479 2480 2481 2482 2483 450 450 450 450 450 450 450 450 450 ( 10 , 20250 ) 10120 M 10130 M 6 M 10 18 ( 30 , 6750 ) 3360 3390 M 30 ( 54 , 3750 ) 1848 1902 M 6 ( 50 , 4050 ) ( 90 , 2250 ) ( 150 , 1350 ) ( 162 , 1250 ) ( 250 , 810 ) ( 270 , 750 ) 2000 1080 600 544 280 240 2050 M 1170 M 750 706 530 510 50 90 M 150 M 2 M 10 M 0 30 12 12 _____________________________________________________________________________ 2484 451 ( 1 , 203401 ) 2486 451 ( 41 , 4961 ) 2485 2487 451 451 ( 11 , 18491 ) ( 121 , 1681 ) 101700 9240 2460 780 101701 9251 2501 P M M 901 P 2 11 1 1 41 2 4 _____________________________________________________________________________ 2488 452 ( 2 , 102152 ) 2490 452 ( 8 , 25538 ) 2489 2491 452 452 51075 ( 4 , 51076 ) 25536 ( 226 , 904 ) 339 12765 51077 25540 12773 565 M P 1 M 4 P 2 113 1 2 4 _____________________________________________________________________________ 2492 2493 453 453 ( 1 , 205209 ) ( 3 , 68403 ) 102604 34200 102605 34203 M P 3 1 129 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2494 2495 453 453 ( 9 , 22801 ) ( 151 , 1359 ) 11396 604 11405 755 P M 1 2 151 2 4 _____________________________________________________________________________ 2496 454 ( 2 , 103058 ) 51528 51530 M 0 2 1 1 _____________________________________________________________________________ 2497 455 ( 1 , 207025 ) 2499 455 ( 7 , 29575 ) 2498 2500 2501 2502 2503 2504 2505 2506 2507 2508 2509 455 455 455 455 455 455 455 455 455 455 455 103512 103513 ( 5 , 41405 ) 20700 20705 ( 13 , 15925 ) 7956 7969 14784 14791 M P 5 M 7 M ( 25 , 8281 ) 4128 4153 P 1 ( 49 , 4225 ) 2088 2137 P 1 ( 35 , 5915 ) ( 65 , 3185 ) ( 91 , 2275 ) ( 169 , 1225 ) ( 175 , 1183 ) ( 245 , 845 ) ( 325 , 637 ) 2940 1560 1092 528 504 300 156 2975 M 1625 679 545 481 65 M 697 13 35 M 1183 1 P 1 M 5 M 91 7 M 4 13 9 13 _____________________________________________________________________________ 2510 456 ( 2 , 103968 ) 2512 456 ( 6 , 34656 ) 2511 2513 2514 456 456 456 51983 51985 P 1 ( 4 , 51984 ) 25990 25994 M 2 ( 8 , 25992 ) 12992 13000 M 8 ( 12 , 17328 ) 17325 8658 17331 8670 M M 3 6 130 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2515 456 ( 16 , 12996 ) 2517 456 ( 24 , 8664 ) 4320 4344 M ( 36 , 5776 ) 2870 2906 M 2516 2518 2519 2520 2521 2522 2523 2524 2525 2526 2527 2528 2529 2530 2531 456 456 456 456 456 456 456 456 456 456 456 456 456 456 456 ( 18 , 11552 ) ( 32 , 6498 ) ( 38 , 5472 ) ( 48 , 4332 ) ( 72 , 2888 ) ( 76 , 2736 ) ( 96 , 2166 ) ( 114 , 1824 ) ( 144 , 1444 ) ( 152 , 1368 ) 6490 5767 3233 2717 2142 1408 1330 1035 855 650 608 6506 M 5785 P 3265 2755 2190 1480 2 19 6 M 1406 8 M 1131 38 M 3 969 M 57 760 M 152 794 M M ( 304 , 684 ) 190 494 M 133 1 M 570 ( 342 , 608 ) 24 M 342 217 1 P ( 228 , 912 ) ( 288 , 722 ) 2 505 2 114 P 475 1 38 M 4 19 18 22 _____________________________________________________________________________ 2532 457 ( 1 , 208849 ) 104424 104425 P 1 1 0 1 _____________________________________________________________________________ 2533 458 ( 2 , 104882 ) 52440 52442 M 0 1 2 1 _____________________________________________________________________________ 2534 2535 459 459 ( 1 , 210681 ) ( 3 , 70227 ) 105340 35112 105341 35115 M P 3 1 131 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2536 459 ( 9 , 23409 ) 11700 2538 459 ( 27 , 7803 ) 3888 3915 M 27 ( 81 , 2601 ) 1260 1341 M 9 2537 2539 2540 2541 2542 2543 459 459 459 459 459 459 ( 17 , 12393 ) ( 51 , 4131 ) ( 153 , 1377 ) ( 243 , 867 ) ( 289 , 729 ) 6188 2040 612 312 220 11709 M 6205 M 2091 765 555 509 9 17 M 51 M 153 M 3 P 2 1 8 10 _____________________________________________________________________________ 2544 460 ( 2 , 105800 ) 2546 460 ( 8 , 26450 ) 2545 2547 2548 2549 2550 2551 2552 2553 2554 2555 2556 460 460 460 460 460 460 460 460 460 460 460 ( 4 , 52900 ) ( 10 , 21160 ) ( 20 , 10580 ) 52899 26448 13221 10575 5280 52901 P 26452 M 13229 10585 5300 M 2625 2665 M ( 50 , 4232 ) 2091 2141 P ( 92 , 2300 ) ( 100 , 2116 ) ( 184 , 1150 ) ( 200 , 1058 ) ( 230 , 920 ) 2277 1104 1008 483 429 345 2323 667 629 575 1 M 5 23 1 M M 92 M 4 23 P M 5 20 M 1196 1108 4 P ( 40 , 5290 ) ( 46 , 4600 ) 1 1 4 115 9 13 _____________________________________________________________________________ 2557 461 ( 1 , 212521 ) 106260 106261 P 1 0 1 1 132 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 2558 462 ( 2 , 106722 ) 2560 462 ( 14 , 15246 ) 2559 2561 2562 2563 2564 2565 2566 2567 2568 2569 2570 462 462 462 462 462 462 462 462 462 462 462 53360 ( 6 , 35574 ) 17784 ( 18 , 11858 ) 5920 7616 53362 M 17790 2 M 7630 6 M 5938 14 M 2 ( 22 , 9702 ) 4840 4862 M 22 ( 66 , 3234 ) 1584 1650 M 66 ( 42 , 5082 ) ( 98 , 2178 ) ( 126 , 1694 ) ( 154 , 1386 ) ( 198 , 1078 ) ( 242 , 882 ) ( 294 , 726 ) 2520 1040 784 616 440 320 216 2562 M 1138 42 M 2 910 M 14 638 M 22 770 562 510 M 154 M 2 M 0 6 13 13 _____________________________________________________________________________ 2571 463 ( 1 , 214369 ) 107184 107185 P 1 1 0 1 _____________________________________________________________________________ 2572 464 ( 2 , 107648 ) 2574 464 ( 8 , 26912 ) 2573 2575 2576 2577 2578 2579 464 464 464 464 464 464 53823 53825 ( 4 , 53824 ) 26910 26914 ( 16 , 13456 ) 6720 6736 13452 P 1 M 13460 M M 2 4 16 ( 32 , 6728 ) 3348 3380 M 4 ( 64 , 3364 ) 1650 1714 M 2 ( 58 , 3712 ) ( 116 , 1856 ) 1827 870 1885 986 M M 29 58 133 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2580 2581 464 464 ( 128 , 1682 ) ( 232 , 928 ) 777 348 905 580 P M 1 2 116 8 10 _____________________________________________________________________________ 2582 465 ( 1 , 216225 ) 2584 465 ( 5 , 43245 ) 2583 2585 2586 2587 2588 2589 2590 2591 2592 2593 2594 465 465 465 465 465 465 465 465 465 465 465 108112 108113 ( 3 , 72075 ) 36036 36039 M ( 9 , 24025 ) 12008 12017 P ( 15 , 14415 ) 21620 7200 21625 7215 4337 P ( 45 , 4805 ) 2380 2425 M ( 75 , 2883 ) ( 93 , 2325 ) ( 155 , 1395 ) ( 225 , 961 ) ( 279 , 775 ) 1404 1116 620 368 248 3503 593 527 1 15 31 5 M 1209 775 1 M 1479 1 5 M 4312 3472 3 M ( 25 , 8649 ) ( 31 , 6975 ) P 3 M 93 M P 1 M 4 155 31 9 13 _____________________________________________________________________________ 2595 466 ( 2 , 108578 ) 54288 54290 M 0 1 2 1 _____________________________________________________________________________ 2596 467 ( 1 , 218089 ) 109044 109045 P 1 1 0 1 _____________________________________________________________________________ 2597 2598 468 468 ( 2 , 109512 ) ( 4 , 54756 ) 54755 27376 54757 27380 P M 1 4 134 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2599 468 ( 6 , 36504 ) 18249 18255 2601 468 ( 12 , 18252 ) 9120 9132 2600 2602 2603 2604 2605 2606 2607 2608 2609 2610 2611 2612 2613 2614 2615 2616 2617 2618 468 468 468 468 468 468 468 468 468 468 468 468 468 468 468 468 468 468 ( 8 , 27378 ) ( 18 , 12168 ) 13685 6075 M 13693 3 P 1 M 6093 12 M 9 ( 24 , 9126 ) 4551 4575 M 3 ( 36 , 6084 ) 3024 3060 M 36 ( 26 , 8424 ) ( 52 , 4212 ) ( 54 , 4056 ) ( 72 , 3042 ) ( 78 , 2808 ) ( 104 , 2106 ) ( 108 , 2028 ) ( 156 , 1404 ) ( 162 , 1352 ) ( 216 , 1014 ) 4199 2080 2001 1485 1365 1001 4225 2132 399 9 M 1105 757 3 M 1443 595 52 M 1557 1068 13 M 2055 960 624 M 39 M 13 M 780 M 615 M 12 156 P 1 3 ( 234 , 936 ) 351 585 M 117 ( 324 , 676 ) 176 500 M 4 ( 312 , 702 ) ( 338 , 648 ) 195 155 507 M 493 39 P 4 1 18 22 _____________________________________________________________________________ 2619 469 ( 1 , 219961 ) 2621 469 ( 49 , 4489 ) 2620 2622 469 469 ( 7 , 31423 ) ( 67 , 3283 ) 109980 15708 2220 1608 109981 15715 2269 1675 P M M P 1 2 7 67 2 1 4 135 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 2623 470 ( 2 , 110450 ) 2625 470 ( 50 , 4418 ) 2624 2626 470 470 ( 10 , 22090 ) ( 94 , 2350 ) 55224 11040 2184 1128 55226 M 11050 2234 M M 1222 2 M 10 2 94 0 4 4 _____________________________________________________________________________ 2627 471 ( 1 , 221841 ) 2629 471 ( 9 , 24649 ) 2628 2630 471 471 110920 ( 3 , 73947 ) 36972 ( 157 , 1413 ) 628 12320 110921 36975 12329 785 M P P M 3 1 1 2 157 2 4 _____________________________________________________________________________ 2631 472 ( 2 , 111392 ) 2633 472 ( 8 , 27848 ) 2632 2634 2635 2636 2637 472 472 472 472 472 55695 55697 ( 4 , 55696 ) 27846 27850 ( 16 , 13924 ) 6954 6970 13920 ( 32 , 6962 ) 3465 ( 236 , 944 ) 354 ( 118 , 1888 ) 885 P M 13928 590 2 M 8 M 3497 1003 1 P M 1 M 2 59 2 118 5 7 _____________________________________________________________________________ 2638 473 ( 1 , 223729 ) 2640 473 ( 43 , 5203 ) 2639 2641 473 473 ( 11 , 20339 ) ( 121 , 1849 ) 111864 10164 2580 864 111865 10175 2623 985 M P M P 2 1 1 43 2 11 4 136 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 2642 474 ( 2 , 112338 ) 2644 474 ( 18 , 12482 ) 2643 2645 474 474 56168 ( 6 , 37446 ) 18720 ( 158 , 1422 ) 632 6232 56170 M 18726 6250 790 2 M M 6 M 2 158 0 4 4 _____________________________________________________________________________ 2646 475 ( 1 , 225625 ) 2648 475 ( 19 , 11875 ) 2647 2649 2650 2651 2652 475 475 475 475 475 112812 112813 ( 5 , 45125 ) 22560 ( 25 , 9025 ) 4500 4525 ( 125 , 1805 ) 840 965 ( 95 , 2375 ) ( 361 , 625 ) 5928 1140 132 22565 5947 5 M 1 19 M 1235 493 M P 25 M M P 2 1 5 95 5 7 _____________________________________________________________________________ 2653 476 ( 2 , 113288 ) 2655 476 ( 8 , 28322 ) 2654 2656 2657 2658 2659 2660 2661 2662 2663 476 476 476 476 476 476 476 476 476 56643 56645 ( 4 , 56644 ) 28320 28324 ( 14 , 16184 ) 8085 8099 14157 P 1 M 14165 4 P 1 M 7 ( 28 , 8092 ) 4032 4060 M 28 ( 56 , 4046 ) 1995 2051 M 7 ( 34 , 6664 ) ( 68 , 3332 ) ( 98 , 2312 ) ( 136 , 1666 ) ( 196 , 1156 ) 3315 1632 1107 765 480 3349 1700 1205 901 676 M M P M M 17 68 1 17 4 137 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2664 2665 476 476 ( 238 , 952 ) ( 392 , 578 ) 357 93 595 M 485 P 4 1 119 9 13 _____________________________________________________________________________ 2666 477 ( 1 , 227529 ) 2668 477 ( 9 , 25281 ) 2667 2669 2670 2671 2672 477 477 477 477 477 113764 113765 ( 3 , 75843 ) 37920 ( 27 , 8427 ) 4200 4227 M ( 81 , 2809 ) 1364 1445 P ( 53 , 4293 ) ( 159 , 1431 ) 12636 2120 636 37923 12645 2173 795 M P M 3 3 M 1 9 53 1 M 2 159 5 7 _____________________________________________________________________________ 2673 478 ( 2 , 114242 ) 57120 57122 M 0 2 1 1 _____________________________________________________________________________ 2674 479 ( 1 , 229441 ) 114720 114721 P 1 1 0 1 _____________________________________________________________________________ 2675 480 ( 2 , 115200 ) 2677 480 ( 6 , 38400 ) 2676 2678 2679 2680 2681 2682 480 480 480 480 480 480 57599 57601 P 1 ( 4 , 57600 ) 28798 28802 M 2 ( 8 , 28800 ) 14396 14404 M 4 ( 10 , 23040 ) ( 12 , 19200 ) ( 16 , 14400 ) ( 18 , 12800 ) 19197 11515 19203 11525 M 9594 9606 M 6391 6409 P 7192 7208 M M 3 6 8 1 5 138 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2683 480 ( 20 , 11520 ) 2685 480 ( 30 , 7680 ) 2684 2686 2687 2688 2689 2690 2691 2692 2693 2694 2695 2696 2697 2698 2699 2700 2701 2702 2703 2704 2705 2706 2707 2708 2709 480 480 480 480 480 480 480 480 480 480 480 480 480 480 480 480 480 480 480 480 480 480 480 480 480 5750 5770 M 10 ( 24 , 9600 ) 4788 4812 M 12 ( 32 , 7200 ) 3584 3616 M 32 ( 36 , 6400 ) ( 40 , 5760 ) ( 48 , 4800 ) ( 50 , 4608 ) ( 60 , 3840 ) ( 64 , 3600 ) ( 72 , 3200 ) ( 80 , 2880 ) ( 90 , 2560 ) ( 96 , 2400 ) ( 100 , 2304 ) ( 120 , 1920 ) ( 128 , 1800 ) ( 144 , 1600 ) ( 150 , 1536 ) ( 160 , 1440 ) ( 180 , 1280 ) ( 192 , 1200 ) ( 200 , 1152 ) 3825 3182 2860 2376 2279 1890 1768 1564 1400 1235 1152 1102 3855 3218 693 640 550 504 476 24 P 1950 1 M 1832 30 M 1636 8 M 1480 4 M 1325 40 M 1248 5 M 1202 872 20 M 2329 728 2 M 2424 1020 15 M 2900 900 836 M 96 M M 2 964 M 4 843 M 3 800 730 696 676 M M M M M 60 8 160 10 24 4 ( 240 , 960 ) 360 600 M 120 ( 288 , 800 ) 256 544 M 32 ( 256 , 900 ) ( 300 , 768 ) 322 234 578 534 M M 2 6 139 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2710 480 ( 320 , 720 ) 200 520 M 40 2712 480 ( 384 , 600 ) 108 492 M 12 2711 2713 2714 480 480 480 ( 360 , 640 ) ( 400 , 576 ) ( 450 , 512 ) 140 88 31 500 M 488 20 M 481 8 P 4 1 36 40 _____________________________________________________________________________ 2715 481 ( 1 , 231361 ) 2717 481 ( 37 , 6253 ) 2716 2718 481 481 ( 13 , 17797 ) ( 169 , 1369 ) 115680 8892 3108 600 115681 8905 3145 769 P M M P 2 13 1 37 1 2 4 _____________________________________________________________________________ 2719 482 ( 2 , 116162 ) 58080 58082 M 0 2 1 1 _____________________________________________________________________________ 2720 483 ( 1 , 233289 ) 2722 483 ( 7 , 33327 ) 2721 2723 2724 2725 2726 2727 2728 2729 2730 483 483 483 483 483 483 483 483 483 116644 116645 ( 3 , 77763 ) 38880 38883 M ( 9 , 25921 ) 12956 12965 P ( 21 , 11109 ) ( 23 , 10143 ) 16660 5544 5060 16667 M 2356 2405 P ( 69 , 3381 ) 1656 1725 M ( 147 , 1587 ) ( 161 , 1449 ) 1820 720 644 1883 867 805 7 1 M ( 49 , 4761 ) ( 63 , 3703 ) 3 M 5565 5083 P M M M 21 1 23 7 3 69 161 1 140 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2731 2732 483 483 ( 207 , 1127 ) ( 441 , 529 ) 460 44 667 485 P M 4 1 23 9 13 _____________________________________________________________________________ 2733 484 ( 2 , 117128 ) 2735 484 ( 8 , 29282 ) 2734 2736 2737 2738 2739 484 484 484 484 484 58563 58565 ( 4 , 58564 ) 29280 29284 ( 22 , 10648 ) 5313 5335 14637 ( 44 , 5324 ) 2640 ( 242 , 968 ) 363 ( 88 , 2662 ) 1287 P M 14645 605 4 P 1 M 2684 1375 1 11 M M 44 M 11 2 121 5 7 _____________________________________________________________________________ 2740 485 ( 1 , 235225 ) 2742 485 ( 25 , 9409 ) 2741 2743 485 485 ( 5 , 47045 ) ( 97 , 2425 ) 117612 23520 4692 1164 117613 23525 4717 1261 P M M P 5 1 2 97 2 1 4 _____________________________________________________________________________ 2744 486 ( 2 , 118098 ) 2746 486 ( 18 , 13122 ) 2745 2747 2748 486 486 486 59048 ( 6 , 39366 ) 19680 ( 54 , 4374 ) 2160 ( 162 , 1458 ) 6552 648 59050 M 19686 6570 2214 810 2 M 6 M 18 M M 54 0 162 5 5 _____________________________________________________________________________ 2749 487 ( 1 , 237169 ) 118584 118585 P 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 141 1 0 1 _____________________________________________________________________________ 2750 488 ( 2 , 119072 ) 2752 488 ( 8 , 29768 ) 2751 2753 2754 2755 2756 488 488 488 488 488 59535 59537 ( 4 , 59536 ) 29766 29770 ( 16 , 14884 ) 7434 7450 14880 ( 32 , 7442 ) 3705 ( 244 , 976 ) 366 ( 122 , 1952 ) 915 P M 14888 610 2 M 8 M 3737 1037 1 P M 1 M 2 61 2 122 5 7 _____________________________________________________________________________ 2757 489 ( 1 , 239121 ) 2759 489 ( 9 , 26569 ) 2758 2760 489 489 119560 ( 3 , 79707 ) 39852 ( 163 , 1467 ) 652 13280 119561 39855 13289 815 M P P M 3 1 1 2 163 2 4 _____________________________________________________________________________ 2761 490 ( 2 , 120050 ) 2763 490 ( 14 , 17150 ) 2762 2764 2765 2766 2767 490 490 490 490 490 ( 10 , 24010 ) 60024 12000 8568 60026 M 12010 8582 M 2 M 10 14 ( 50 , 4802 ) 2376 2426 M 2 ( 98 , 2450 ) 1176 1274 M 98 ( 70 , 3430 ) ( 350 , 686 ) 1680 168 1750 518 M M 70 0 14 7 7 _____________________________________________________________________________ 2768 491 ( 1 , 241081 ) 120540 120541 P 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 142 1 0 1 _____________________________________________________________________________ 2769 492 ( 2 , 121032 ) 2771 492 ( 6 , 40344 ) 2770 2772 2773 2774 2775 2776 2777 2778 2779 2780 2781 492 492 492 492 492 492 492 492 492 492 492 60515 60517 P ( 4 , 60516 ) 30256 30260 M ( 8 , 30258 ) 15125 15133 P ( 12 , 20172 ) ( 18 , 13448 ) ( 24 , 10086 ) 20169 10080 6715 5031 20175 10092 6733 P 5055 3380 M ( 82 , 2952 ) 1435 1517 M ( 164 , 1476 ) ( 246 , 984 ) ( 328 , 738 ) 656 369 205 1717 820 615 533 3 1 M 1 M 3344 1645 4 M ( 36 , 6724 ) ( 72 , 3362 ) 1 12 3 4 P 1 41 M 164 M 123 M 4 41 9 13 _____________________________________________________________________________ 2782 493 ( 1 , 243049 ) 2784 493 ( 29 , 8381 ) 2783 2785 493 493 ( 17 , 14297 ) ( 289 , 841 ) 121524 7140 4176 276 121525 7157 4205 565 P P M M 2 17 1 1 29 2 4 _____________________________________________________________________________ 2786 494 ( 2 , 122018 ) 2788 494 ( 38 , 6422 ) 2787 2789 494 494 61008 ( 26 , 9386 ) 4680 ( 338 , 722 ) 192 3192 61010 4706 3230 530 M M M M 26 2 38 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 143 0 4 4 _____________________________________________________________________________ 2790 495 ( 1 , 245025 ) 2792 495 ( 5 , 49005 ) 2791 2793 2794 2795 2796 2797 2798 2799 2800 2801 2802 2803 2804 2805 2806 2807 2808 2809 2810 2811 495 495 495 495 495 495 495 495 495 495 495 495 495 495 495 495 495 495 495 495 122512 122513 ( 3 , 81675 ) 40836 40839 M ( 9 , 27225 ) 13608 13617 M ( 11 , 22275 ) ( 15 , 16335 ) 24500 11132 8160 24505 11143 8175 M 4888 4913 P ( 33 , 7425 ) 3696 3729 M ( 45 , 5445 ) ( 55 , 4455 ) ( 75 , 3267 ) ( 81 , 3025 ) ( 99 , 2475 ) ( 121 , 2025 ) ( 135 , 1815 ) ( 165 , 1485 ) ( 225 , 1089 ) 4524 2700 2200 1596 1472 1188 952 840 660 432 3 M ( 25 , 9801 ) ( 27 , 9075 ) P 4551 5 9 M 11 1 M 2745 33 45 M 1671 55 M 1553 1287 3 P 1 P 1 M 1073 99 975 M 15 657 M 9 825 M 165 ( 275 , 891 ) 308 583 M 11 ( 363 , 675 ) 156 519 M 3 ( 297 , 825 ) ( 405 , 605 ) 264 100 15 3 M 2255 561 505 1 M 33 M 4 5 18 22 _____________________________________________________________________________ 2812 496 ( 2 , 123008 ) 61503 61505 P 1 144 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2813 496 ( 4 , 61504 ) 30750 30754 2815 496 ( 16 , 15376 ) 7680 7696 2814 2816 2817 2818 2819 2820 2821 496 496 496 496 496 496 496 ( 8 , 30752 ) 15372 M 15380 2 M 4 M 16 ( 32 , 7688 ) 3828 3860 M 4 ( 64 , 3844 ) 1890 1954 M 2 ( 62 , 3968 ) ( 124 , 1984 ) ( 128 , 1922 ) ( 248 , 992 ) 1953 930 897 372 2015 M 1054 1025 620 31 M M 62 P 1 2 124 8 10 _____________________________________________________________________________ 2822 497 ( 1 , 247009 ) 2824 497 ( 49 , 5041 ) 2823 2825 497 497 ( 7 , 35287 ) ( 71 , 3479 ) 123504 17640 2496 1704 123505 17647 2545 1775 P M M P 7 1 2 71 2 1 4 _____________________________________________________________________________ 2826 498 ( 2 , 124002 ) 2828 498 ( 18 , 13778 ) 2827 2829 498 498 62000 ( 6 , 41334 ) 20664 ( 166 , 1494 ) 664 6880 62002 M 20670 6898 830 2 M M 6 M 2 0 166 4 4 _____________________________________________________________________________ 2830 499 ( 1 , 249001 ) 124500 124501 P 1 1 0 1 _____________________________________________________________________________ 2831 500 ( 2 , 125000 ) 62499 62501 P 1 145 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2832 500 ( 4 , 62500 ) 2834 500 ( 10 , 25000 ) 2833 2835 2836 2837 2838 2839 2840 500 500 500 500 500 500 500 ( 8 , 31250 ) ( 20 , 12500 ) ( 40 , 6250 ) ( 50 , 5000 ) ( 100 , 2500 ) ( 200 , 1250 ) ( 250 , 1000 ) 31248 15621 12495 6240 3105 2475 1200 525 375 31252 M 15629 P 12505 6260 3145 2525 1300 725 625 4 M 1 M 20 M 5 M M 5 25 M 100 25 M 2 125 8 10 _____________________________________________________________________________ 2841 501 ( 1 , 251001 ) 2843 501 ( 9 , 27889 ) 2842 2844 501 501 125500 ( 3 , 83667 ) 41832 ( 167 , 1503 ) 668 13940 125501 41835 13949 835 M M P P 3 1 1 2 167 2 4 _____________________________________________________________________________ 2845 502 ( 2 , 126002 ) 63000 63002 M 0 1 2 1 _____________________________________________________________________________ 2846 503 ( 1 , 253009 ) 126504 126505 P 1 1 0 1 _____________________________________________________________________________ 2847 504 ( 2 , 127008 ) 2849 504 ( 6 , 42336 ) 2848 2850 504 504 63503 63505 P 1 ( 4 , 63504 ) 31750 31754 M 2 ( 8 , 31752 ) 15872 15880 M 8 21165 21171 M 3 146 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2851 504 ( 12 , 21168 ) 10578 2853 504 ( 16 , 15876 ) 7930 2852 2854 2855 2856 2857 2858 2859 2860 2861 2862 2863 2864 2865 2866 2867 2868 2869 2870 2871 2872 2873 2874 2875 2876 2877 504 504 504 504 504 504 504 504 504 504 504 504 504 504 504 504 504 504 504 504 504 504 504 504 504 ( 14 , 18144 ) ( 18 , 14112 ) ( 24 , 10584 ) 10590 9065 9079 M 7047 7065 M 5280 7946 5304 4550 M ( 36 , 7056 ) 3510 3546 M ( 42 , 6048 ) ( 48 , 5292 ) ( 54 , 4704 ) ( 56 , 4536 ) ( 72 , 3528 ) ( 84 , 3024 ) ( 96 , 2646 ) ( 98 , 2592 ) ( 108 , 2352 ) ( 112 , 2268 ) ( 126 , 2016 ) ( 144 , 1764 ) ( 162 , 1568 ) ( 168 , 1512 ) ( 196 , 1296 ) ( 216 , 1176 ) ( 224 , 1134 ) ( 252 , 1008 ) ( 288 , 882 ) 3003 2622 2325 2240 1728 1470 1275 1247 1122 1078 3985 672 550 480 455 378 297 72 42 3 1 M 1190 M M 954 M 840 M 585 56 P 1230 630 3 M 1345 679 6 M 1371 696 21 M 1554 746 18 M 1800 865 1 M 2296 703 810 14 M 2379 1071 24 M 2670 945 9 P 3045 P M M M M M 6 2 M 4522 3953 7 M ( 28 , 9072 ) ( 32 , 7938 ) M 6 14 63 18 1 168 2 24 7 126 9 147 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2878 504 ( 294 , 864 ) 285 579 M 3 2880 504 ( 336 , 756 ) 210 546 M 42 2879 2881 2882 2883 504 504 504 504 ( 324 , 784 ) ( 378 , 672 ) ( 392 , 648 ) ( 432 , 588 ) 230 554 147 128 78 M 525 2 M 520 21 M 510 M 4 6 8 33 37 _____________________________________________________________________________ 2884 505 ( 1 , 255025 ) 2886 505 ( 25 , 10201 ) 2885 2887 505 505 127512 ( 5 , 51005 ) 25500 ( 101 , 2525 ) 1212 5088 127513 25505 5113 M P P 1313 M 1 5 101 2 2 1 4 _____________________________________________________________________________ 2888 506 ( 2 , 128018 ) 2890 506 ( 46 , 5566 ) 2889 2891 506 506 ( 22 , 11638 ) ( 242 , 1058 ) 64008 5808 2760 408 64010 5830 2806 650 M M 2 22 M M 0 2 46 4 4 _____________________________________________________________________________ 2892 507 ( 1 , 257049 ) 2894 507 ( 9 , 28561 ) 2893 2895 2896 2897 2898 507 507 507 507 507 128524 128525 ( 3 , 85683 ) 42840 42843 ( 13 , 19773 ) 9880 9893 14276 14285 ( 39 , 6591 ) 3276 3315 ( 169 , 1521 ) 676 845 ( 117 , 2197 ) 1040 1157 M P M M M M P 3 1 13 39 13 169 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 148 2 5 7 _____________________________________________________________________________ 2899 508 ( 2 , 129032 ) 2901 508 ( 8 , 32258 ) 2900 2902 508 508 64515 ( 4 , 64516 ) 32256 ( 254 , 1016 ) 381 64517 P 32260 16125 16133 635 1 M 4 P M 1 127 2 2 4 _____________________________________________________________________________ 2903 509 ( 1 , 259081 ) 129540 129541 P 1 1 0 1 _____________________________________________________________________________ 2904 510 ( 2 , 130050 ) 2906 510 ( 10 , 26010 ) 2905 2907 2908 2909 2910 2911 2912 2913 2914 2915 2916 510 510 510 510 510 510 510 510 510 510 510 65024 65026 ( 6 , 43350 ) 21672 21678 ( 18 , 14450 ) 7216 7234 13000 M 2 M 13010 M 6 M 2 ( 30 , 8670 ) 4320 4350 M 30 ( 50 , 5202 ) 2576 2626 M 2 ( 34 , 7650 ) ( 90 , 2890 ) ( 102 , 2550 ) ( 150 , 1734 ) ( 170 , 1530 ) ( 306 , 850 ) ( 450 , 578 ) 3808 3842 1400 1490 1224 942 680 64 850 578 514 34 M 1326 792 272 M M 10 M 6 M 102 170 M M 10 0 2 34 13 13 _____________________________________________________________________________ 2917 511 ( 1 , 261121 ) 130560 130561 P 1 149 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2918 511 ( 7 , 37303 ) 2920 511 ( 73 , 3577 ) 2919 511 ( 49 , 5329 ) 18648 2640 1752 18655 2689 P 1825 M M 7 1 73 2 2 4 _____________________________________________________________________________ 2921 512 ( 2 , 131072 ) 2923 512 ( 8 , 32768 ) 2922 2924 2925 2926 2927 2928 512 512 512 512 512 512 65535 65537 ( 4 , 65536 ) 32766 32770 ( 16 , 16384 ) 8184 8200 16380 P 1 M 16388 2 M 4 M 8 ( 32 , 8192 ) 4080 4112 M 16 ( 128 , 2048 ) 960 1088 M 64 ( 64 , 4096 ) ( 256 , 1024 ) 2016 384 2080 640 M 32 M 128 1 7 8 _____________________________________________________________________________ 2929 513 ( 1 , 263169 ) 2931 513 ( 9 , 29241 ) 2930 2932 2933 2934 2935 2936 2937 2938 513 513 513 513 513 513 513 513 131584 131585 ( 3 , 87723 ) 43860 43863 ( 19 , 13851 ) 6916 6935 14616 14625 M P 3 M 9 M 19 ( 27 , 9747 ) 4860 4887 M 27 ( 81 , 3249 ) 1584 1665 M 9 ( 57 , 4617 ) ( 171 , 1539 ) ( 243 , 1083 ) ( 361 , 729 ) 2280 684 420 184 2337 855 663 545 M 57 M 171 M P 1 2 1 3 8 10 _____________________________________________________________________________ 150 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2939 514 ( 2 , 132098 ) 66048 66050 M 0 2 1 1 _____________________________________________________________________________ 2940 515 ( 1 , 265225 ) 2942 515 ( 25 , 10609 ) 2941 2943 515 515 132612 ( 5 , 53045 ) 26520 ( 103 , 2575 ) 1236 5292 132613 26525 5317 M P P 1339 M 1 5 1 103 2 2 4 _____________________________________________________________________________ 2944 516 ( 2 , 133128 ) 2946 516 ( 6 , 44376 ) 2945 2947 2948 2949 2950 2951 2952 2953 2954 2955 2956 516 516 516 516 516 516 516 516 516 516 516 66563 66565 P ( 4 , 66564 ) 33280 33284 M ( 8 , 33282 ) 16637 16645 P ( 12 , 22188 ) ( 18 , 14792 ) ( 24 , 11094 ) 22185 11088 7387 5535 22191 11100 7405 P 5559 3716 M ( 86 , 3096 ) 1505 1591 M ( 172 , 1548 ) ( 258 , 1032 ) ( 344 , 774 ) 688 387 215 1885 559 1 M 1 12 3 4 P 860 645 3 M 3680 1813 4 M ( 36 , 7396 ) ( 72 , 3698 ) 1 1 43 M 172 M 129 M 4 43 9 13 _____________________________________________________________________________ 2957 517 ( 1 , 267289 ) 2959 517 ( 47 , 5687 ) 2958 517 ( 11 , 24299 ) 133644 12144 2820 133645 12155 2867 M M P 1 47 11 151 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2960 517 ( 121 , 2209 ) 1044 1165 P 2 1 2 4 _____________________________________________________________________________ 2961 518 ( 2 , 134162 ) 2963 518 ( 74 , 3626 ) 2962 2964 518 518 ( 14 , 19166 ) ( 98 , 2738 ) 67080 9576 1776 1320 67082 9590 1850 1418 M M 2 14 M 74 M 0 2 4 4 _____________________________________________________________________________ 2965 519 ( 1 , 269361 ) 2967 519 ( 9 , 29929 ) 2966 2968 519 519 134680 ( 3 , 89787 ) 44892 ( 173 , 1557 ) 692 14960 134681 44895 14969 865 M P P M 3 1 1 2 173 2 4 _____________________________________________________________________________ 2969 520 ( 2 , 135200 ) 2971 520 ( 8 , 33800 ) 2970 2972 2973 2974 2975 2976 2977 2978 2979 2980 520 520 520 520 520 520 520 520 520 520 ( 4 , 67600 ) ( 10 , 27040 ) ( 16 , 16900 ) ( 20 , 13520 ) ( 26 , 10400 ) 67599 33798 16896 13515 67601 P 33802 M 16904 13525 8458 M 5187 5213 M 6770 2 M 8442 6750 1 8 M 2 M 10 ( 32 , 8450 ) 4209 4241 P 1 ( 50 , 5408 ) 2679 2729 P 1 ( 40 , 6760 ) ( 52 , 5200 ) ( 80 , 3380 ) 3360 2574 1650 3400 2626 1730 M M M 5 13 40 26 10 152 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 2981 520 ( 100 , 2704 ) 1302 2983 520 ( 130 , 2080 ) 975 1105 576 776 2982 2984 2985 2986 2987 2988 2989 2990 520 520 520 520 520 520 520 520 ( 104 , 2600 ) ( 160 , 1690 ) ( 200 , 1352 ) ( 208 , 1300 ) ( 260 , 1040 ) 1248 765 546 390 1402 M 1352 M 65 925 M 5 754 M 26 650 M 569 P ( 416 , 650 ) 117 533 M 538 8 M 231 138 104 M ( 338 , 800 ) ( 400 , 676 ) 2 1 M 130 2 4 13 18 22 _____________________________________________________________________________ 2991 521 ( 1 , 271441 ) 135720 135721 P 1 1 0 1 _____________________________________________________________________________ 2992 522 ( 2 , 136242 ) 2994 522 ( 18 , 15138 ) 2993 2995 2996 2997 2998 522 522 522 522 522 68120 68122 ( 6 , 45414 ) 22704 ( 54 , 5046 ) 2496 2550 ( 162 , 1682 ) 760 922 ( 58 , 4698 ) ( 174 , 1566 ) 7560 2320 696 M 22710 7578 2378 870 2 M 6 M 18 M 6 M M M 2 0 58 174 7 7 _____________________________________________________________________________ 2999 523 ( 1 , 273529 ) 136764 136765 P 1 0 1 1 _____________________________________________________________________________ 153 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3000 524 ( 2 , 137288 ) 3002 524 ( 8 , 34322 ) 3001 3003 524 524 68643 ( 4 , 68644 ) 34320 ( 262 , 1048 ) 393 17157 68645 P 34324 17165 655 1 M 4 P M 1 2 131 2 4 _____________________________________________________________________________ 3004 525 ( 1 , 275625 ) 3006 525 ( 5 , 55125 ) 3005 3007 3008 3009 3010 3011 3012 3013 3014 3015 3016 3017 3018 3019 3020 3021 3022 3023 3024 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 137812 137813 ( 3 , 91875 ) 45936 45939 M ( 7 , 39375 ) 19684 19691 M ( 9 , 30625 ) ( 15 , 18375 ) ( 21 , 13125 ) ( 25 , 11025 ) 27560 15308 27565 15317 M 15 5500 5525 M 25 6552 6573 M ( 49 , 5625 ) 2788 2837 P ( 125 , 2205 ) ( 147 , 1875 ) ( 175 , 1575 ) ( 225 , 1225 ) ( 245 , 1125 ) ( 315 , 875 ) ( 375 , 735 ) 1 9195 M ( 105 , 2625 ) 7 9180 3955 ( 75 , 3675 ) 5 P 3920 ( 63 , 4375 ) 3 M ( 35 , 7875 ) ( 45 , 6125 ) P 3040 2156 1800 1260 1040 3085 2219 725 280 180 5 1 7 75 M 1165 500 35 M 1365 1011 440 M 1875 864 700 M 21 105 M M 5 3 875 M 175 685 M 5 595 555 M M M 25 35 15 1 154 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3025 525 ( 441 , 625 ) 92 533 P 4 1 18 22 _____________________________________________________________________________ 3026 526 ( 2 , 138338 ) 69168 69170 M 0 2 1 1 _____________________________________________________________________________ 3027 527 ( 1 , 277729 ) 3029 527 ( 31 , 8959 ) 3028 3030 527 527 ( 17 , 16337 ) ( 289 , 961 ) 138864 8160 4464 336 138865 8177 4495 625 P P M M 2 17 1 1 31 2 4 _____________________________________________________________________________ 3031 528 ( 2 , 139392 ) 3033 528 ( 6 , 46464 ) 3032 3034 3035 3036 3037 3038 3039 3040 3041 3042 3043 3044 3045 528 528 528 528 528 528 528 528 528 528 528 528 528 69695 69697 P 1 ( 4 , 69696 ) 34846 34850 M 2 ( 8 , 34848 ) 17420 17428 M 4 ( 12 , 23232 ) ( 16 , 17424 ) ( 18 , 15488 ) ( 22 , 12672 ) ( 24 , 11616 ) 23229 11610 23235 11622 M 8704 8720 M 6325 6347 M 7735 5796 7753 5820 P M M 3 6 16 1 11 12 ( 32 , 8712 ) 4340 4372 M 4 ( 44 , 6336 ) 3146 3190 M 22 ( 36 , 7744 ) ( 48 , 5808 ) ( 64 , 4356 ) ( 66 , 4224 ) 3854 2880 2146 2079 3890 2928 2210 2145 M M M M 2 48 2 33 155 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3046 528 ( 72 , 3872 ) 1900 1972 M 4 3048 528 ( 96 , 2904 ) 1404 1500 M 12 3047 3049 3050 3051 3052 3053 3054 3055 3056 3057 3058 3059 3060 3061 528 528 528 528 528 528 528 528 528 528 528 528 528 528 ( 88 , 3168 ) ( 128 , 2178 ) ( 132 , 2112 ) ( 144 , 1936 ) ( 176 , 1584 ) ( 192 , 1452 ) ( 198 , 1408 ) ( 242 , 1152 ) ( 264 , 1056 ) 1540 1628 1025 M 1153 44 P 1 990 1122 704 880 M 176 803 M 11 896 M 1040 630 M 822 605 455 660 16 M 697 396 66 6 P 1 M 132 ( 288 , 968 ) 340 628 M 4 ( 384 , 726 ) 171 555 M 3 ( 352 , 792 ) ( 396 , 704 ) ( 484 , 576 ) 220 154 46 572 M 550 44 M 530 M 4 2 22 27 31 _____________________________________________________________________________ 3062 3063 529 529 ( 1 , 279841 ) ( 23 , 12167 ) 139920 6072 139921 6095 P M 1 23 1 1 2 _____________________________________________________________________________ 3064 530 ( 2 , 140450 ) 3066 530 ( 50 , 5618 ) 3065 3067 530 530 ( 10 , 28090 ) ( 106 , 2650 ) 70224 14040 2784 1272 70226 14050 2834 1378 M M M 2 M 2 0 10 106 4 4 156 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 3068 531 ( 1 , 281961 ) 3070 531 ( 9 , 31329 ) 3069 3071 3072 3073 3074 531 531 531 531 531 140980 140981 ( 3 , 93987 ) 46992 46995 ( 27 , 10443 ) 5208 5235 15660 15669 ( 59 , 4779 ) 2360 2419 ( 177 , 1593 ) 708 885 ( 81 , 3481 ) 1700 M P 3 M 9 M 3 M 1781 1 59 P 1 M 177 2 5 7 _____________________________________________________________________________ 3075 532 ( 2 , 141512 ) 3077 532 ( 8 , 35378 ) 3076 3078 3079 3080 3081 3082 3083 3084 3085 3086 3087 532 532 532 532 532 532 532 532 532 532 532 ( 4 , 70756 ) ( 14 , 20216 ) ( 28 , 10108 ) 70755 35376 17685 10101 5040 70757 P 35380 1 M 17693 4 P 10115 5068 M 1 M 28 ( 38 , 7448 ) 3705 3743 M 19 ( 76 , 3724 ) 1824 1900 M 76 ( 56 , 5054 ) ( 98 , 2888 ) ( 152 , 1862 ) ( 196 , 1444 ) ( 266 , 1064 ) ( 392 , 722 ) 2499 1395 855 624 399 165 2555 M 1493 1007 665 557 7 P 1 M 4 M 820 7 M P 4 1 19 133 9 13 _____________________________________________________________________________ 3088 3089 533 533 ( 1 , 284089 ) ( 13 , 21853 ) 142044 10920 142045 10933 M P 1 13 157 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3090 3091 533 533 ( 41 , 6929 ) ( 169 , 1681 ) 3444 756 3485 925 M P 2 1 41 2 4 _____________________________________________________________________________ 3092 534 ( 2 , 142578 ) 3094 534 ( 18 , 15842 ) 3093 3095 534 534 71288 ( 6 , 47526 ) 23760 ( 178 , 1602 ) 712 7912 71290 M 23766 7930 890 2 M M 6 M 2 0 178 4 4 _____________________________________________________________________________ 3096 535 ( 1 , 286225 ) 3098 535 ( 25 , 11449 ) 3097 3099 535 535 143112 ( 5 , 57245 ) 28620 ( 107 , 2675 ) 1284 5712 143113 28625 5737 M P P 1391 M 1 2 5 107 2 1 4 _____________________________________________________________________________ 3100 536 ( 2 , 143648 ) 3102 536 ( 8 , 35912 ) 3101 3103 3104 3105 3106 536 536 536 536 536 71823 71825 ( 4 , 71824 ) 35910 35914 ( 16 , 17956 ) 8970 8986 17952 4473 4505 ( 268 , 1072 ) 402 670 1005 1139 1 M 17960 ( 32 , 8978 ) ( 134 , 2144 ) P 2 M 8 M P M 1 M 2 2 67 134 5 7 _____________________________________________________________________________ 3107 3108 537 537 ( 1 , 288369 ) ( 3 , 96123 ) 144184 48060 144185 48063 M P 3 1 158 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3109 3110 537 537 ( 9 , 32041 ) ( 179 , 1611 ) 16016 716 16025 895 P M 1 2 179 2 4 _____________________________________________________________________________ 3111 538 ( 2 , 144722 ) 72360 72362 M 0 2 1 1 _____________________________________________________________________________ 3112 539 ( 1 , 290521 ) 3114 539 ( 11 , 26411 ) 3113 3115 3116 3117 3118 539 539 539 539 539 145260 ( 7 , 41503 ) 20748 ( 49 , 5929 ) 2940 ( 77 , 3773 ) ( 121 , 2401 ) ( 343 , 847 ) 13200 1848 1140 252 145261 20755 13211 2989 1925 1261 595 M P 7 M M M 11 49 M 1 77 P 2 7 1 5 7 _____________________________________________________________________________ 3119 540 ( 2 , 145800 ) 3121 540 ( 6 , 48600 ) 3120 3122 3123 3124 3125 3126 3127 3128 3129 540 540 540 540 540 540 540 540 540 72899 72901 P ( 4 , 72900 ) 36448 36452 M ( 8 , 36450 ) 18221 18229 P ( 10 , 29160 ) ( 12 , 24300 ) ( 18 , 16200 ) ( 20 , 14580 ) ( 24 , 12150 ) ( 30 , 9720 ) ( 36 , 8100 ) 24297 14575 12144 24303 M 14585 12156 M 8091 8109 M 6063 6087 M 7280 4845 4032 7300 4875 4068 M M M M 1 4 3 1 9 5 12 20 3 15 36 159 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3130 540 ( 40 , 7290 ) 3625 3665 M 3132 540 ( 54 , 5400 ) 2673 2727 M 3131 3133 3134 3135 3136 3137 3138 3139 3140 3141 3142 3143 3144 3145 3146 3147 3148 3149 540 540 540 540 540 540 540 540 540 540 540 540 540 540 540 540 540 540 ( 50 , 5832 ) ( 60 , 4860 ) ( 72 , 4050 ) ( 90 , 3240 ) ( 100 , 2916 ) ( 108 , 2700 ) ( 120 , 2430 ) ( 150 , 1944 ) ( 162 , 1800 ) ( 180 , 1620 ) ( 200 , 1458 ) ( 216 , 1350 ) ( 270 , 1080 ) 2891 2941 2400 P 2460 1989 1047 720 900 819 629 567 108 15 M 981 M 829 P 675 4 M 9 M 783 405 45 M 1275 897 9 M 1404 1155 60 M 1508 1296 27 M 1665 1408 1 M 2061 1575 5 180 1 M 27 M 135 ( 300 , 972 ) 336 636 M 12 ( 360 , 810 ) 225 585 M 45 ( 324 , 900 ) ( 450 , 648 ) ( 486 , 600 ) 288 99 57 612 549 543 3 M 36 M 9 M 4 3 27 31 _____________________________________________________________________________ 3150 541 ( 1 , 292681 ) 146340 146341 P 1 1 0 1 _____________________________________________________________________________ 3151 542 ( 2 , 146882 ) 73440 73442 M 0 1 2 1 160 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 3152 543 ( 1 , 294849 ) 3154 543 ( 9 , 32761 ) 3153 3155 543 543 147424 ( 3 , 98283 ) 49140 ( 181 , 1629 ) 724 16376 147425 49143 16385 905 M P 3 P M 1 1 181 2 2 4 _____________________________________________________________________________ 3156 544 ( 2 , 147968 ) 3158 544 ( 8 , 36992 ) 3157 3159 3160 3161 3162 3163 3164 3165 3166 3167 3168 544 544 544 544 544 544 544 544 544 544 544 73983 73985 ( 4 , 73984 ) 36990 36994 ( 16 , 18496 ) 9240 9256 18492 P 1 M 18500 2 M 4 M 8 ( 32 , 9248 ) 4608 4640 M 32 ( 64 , 4624 ) 2280 2344 M 8 ( 34 , 8704 ) ( 68 , 4352 ) ( 128 , 2312 ) ( 136 , 2176 ) ( 256 , 1156 ) ( 272 , 1088 ) ( 512 , 578 ) 4335 4369 2142 2210 1092 33 706 680 545 34 M 1156 450 17 M 1220 1020 408 M M P 4 M 2 M 2 1 68 136 11 13 _____________________________________________________________________________ 3169 545 ( 1 , 297025 ) 3171 545 ( 25 , 11881 ) 3170 3172 545 545 148512 ( 5 , 59405 ) 29700 ( 109 , 2725 ) 1308 5928 148513 29705 5953 1417 M P P M 1 2 5 109 2 1 4 161 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 3173 546 ( 2 , 149058 ) 3175 546 ( 14 , 21294 ) 3174 3176 3177 3178 3179 3180 3181 3182 3183 3184 3185 546 546 546 546 546 546 546 546 546 546 546 74528 74530 ( 6 , 49686 ) 24840 24846 ( 18 , 16562 ) 8272 8290 ( 26 , 11466 ) 10640 5720 M 2 M 10654 M 5746 6 M 2 M 26 ( 42 , 7098 ) 3528 3570 M 42 ( 98 , 3042 ) 1472 1570 M 2 ( 78 , 3822 ) ( 126 , 2366 ) ( 182 , 1638 ) ( 234 , 1274 ) ( 294 , 1014 ) ( 338 , 882 ) 1872 1120 1950 M 1246 728 910 M 360 654 M 520 272 754 610 14 78 M 14 182 M 26 6 M 0 2 13 13 _____________________________________________________________________________ 3186 547 ( 1 , 299209 ) 149604 149605 P 1 1 0 1 _____________________________________________________________________________ 3187 548 ( 2 , 150152 ) 3189 548 ( 8 , 37538 ) 3188 3190 548 548 75075 ( 4 , 75076 ) 37536 ( 274 , 1096 ) 411 18765 75077 P 37540 18773 685 1 M M 4 P 1 2 137 2 4 _____________________________________________________________________________ 3191 3192 549 549 ( 1 , 301401 ) ( 3 , 100467 ) 150700 50232 150701 50235 M P 3 1 162 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3193 549 ( 9 , 33489 ) 16740 3195 549 ( 61 , 4941 ) 2440 2501 ( 183 , 1647 ) 732 915 3194 3196 3197 549 549 549 ( 27 , 11163 ) ( 81 , 3721 ) 5568 1820 16749 M 5595 9 M 3 M 1901 61 P 1 M 183 2 5 7 _____________________________________________________________________________ 3198 550 ( 2 , 151250 ) 3200 550 ( 22 , 13750 ) 3199 3201 3202 3203 3204 550 550 550 550 550 ( 10 , 30250 ) 75624 15120 6864 75626 15130 6886 ( 50 , 6050 ) 3000 3050 ( 242 , 1250 ) 504 746 ( 110 , 2750 ) ( 250 , 1210 ) 1320 480 M M 2 M 10 22 M 1430 M 730 50 M 2 M 110 10 0 7 7 _____________________________________________________________________________ 3205 551 ( 1 , 303601 ) 3207 551 ( 29 , 10469 ) 3206 3208 551 551 ( 19 , 15979 ) ( 361 , 841 ) 151800 7980 5220 240 151801 7999 5249 601 P P M M 2 19 1 1 29 2 4 _____________________________________________________________________________ 3209 552 ( 2 , 152352 ) 3211 552 ( 6 , 50784 ) 3210 3212 3213 552 552 552 76175 76177 P 1 ( 4 , 76176 ) 38086 38090 M 2 ( 8 , 38088 ) 19040 19048 M 8 ( 12 , 25392 ) 25389 12690 25395 12702 M M 3 6 163 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3214 552 ( 16 , 19044 ) 9514 9530 M 3216 552 ( 24 , 12696 ) 6336 6360 M 3215 3217 3218 3219 3220 3221 3222 3223 3224 3225 3226 3227 3228 3229 3230 552 552 552 552 552 552 552 552 552 552 552 552 552 552 552 ( 18 , 16928 ) 8455 8473 P ( 32 , 9522 ) 4745 4777 P ( 46 , 6624 ) 3289 3335 M ( 36 , 8464 ) ( 48 , 6348 ) ( 72 , 4232 ) ( 92 , 3312 ) ( 96 , 3174 ) ( 138 , 2208 ) ( 144 , 2116 ) ( 184 , 1656 ) ( 276 , 1104 ) ( 288 , 1058 ) ( 368 , 828 ) ( 414 , 736 ) 4214 3150 2080 1610 1539 1035 4250 385 230 161 46 3 69 M M 673 P 575 8 M 920 598 6 M 1173 690 23 M 1635 24 2 M 1702 414 736 1 M 2152 1130 1 M 3198 986 2 2 184 M 138 1 M 46 M 4 23 18 22 _____________________________________________________________________________ 3231 553 ( 1 , 305809 ) 3233 553 ( 49 , 6241 ) 3232 3234 553 553 ( 7 , 43687 ) ( 79 , 3871 ) 152904 21840 3096 1896 152905 21847 3145 1975 P M M P 1 2 7 79 2 1 4 _____________________________________________________________________________ 3235 554 ( 2 , 153458 ) 76728 76730 M 0 1 2 1 164 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 3236 555 ( 1 , 308025 ) 3238 555 ( 5 , 61605 ) 3237 3239 3240 3241 3242 3243 3244 3245 3246 3247 3248 555 555 555 555 555 555 555 555 555 555 555 ( 3 , 102675 ) ( 9 , 34225 ) ( 15 , 20535 ) ( 25 , 12321 ) 154012 51336 30800 17108 10260 6148 154013 51339 M 30805 P 3 M 17117 5 P 10275 6173 P 1 M 1 ( 37 , 8325 ) 4144 4181 M 37 ( 75 , 4107 ) 2016 2091 M 3 ( 45 , 6845 ) ( 111 , 2775 ) ( 185 , 1665 ) ( 225 , 1369 ) ( 333 , 925 ) 3400 1332 740 572 296 3445 M 1443 925 797 629 M 1 15 5 M 111 185 P 1 M 4 37 9 13 _____________________________________________________________________________ 3249 556 ( 2 , 154568 ) 3251 556 ( 8 , 38642 ) 3250 3252 556 556 77283 ( 4 , 77284 ) 38640 ( 278 , 1112 ) 417 19317 77285 P 38644 19325 695 1 M M 4 P 1 2 139 2 4 _____________________________________________________________________________ 3253 557 ( 1 , 310249 ) 155124 155125 P 1 1 0 1 _____________________________________________________________________________ 3254 3255 558 558 ( 2 , 155682 ) ( 6 , 51894 ) 77840 25944 77842 25950 M M 2 6 165 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3256 558 ( 18 , 17298 ) 3258 558 ( 62 , 5022 ) 3257 3259 3260 558 558 558 8640 8658 M 18 ( 54 , 5766 ) 2856 2910 M 6 ( 162 , 1922 ) 880 1042 M 2 ( 186 , 1674 ) 2480 744 2542 930 M 62 M 0 186 7 7 _____________________________________________________________________________ 3261 559 ( 1 , 312481 ) 3263 559 ( 43 , 7267 ) 3262 3264 559 559 ( 13 , 24037 ) ( 169 , 1849 ) 156240 12012 3612 840 156241 12025 3655 1009 M M P P 1 43 2 13 1 2 4 _____________________________________________________________________________ 3265 560 ( 2 , 156800 ) 3267 560 ( 8 , 39200 ) 3266 3268 3269 3270 3271 3272 3273 3274 3275 3276 3277 3278 560 560 560 560 560 560 560 560 560 560 560 560 ( 4 , 78400 ) ( 10 , 31360 ) ( 14 , 22400 ) ( 16 , 19600 ) ( 20 , 15680 ) ( 28 , 11200 ) 78399 39198 19596 15675 11193 78401 P 39202 M 19604 9808 M 5586 5614 M 7850 4884 4916 M ( 50 , 6272 ) 3111 3161 P ( 56 , 5600 ) ( 64 , 4900 ) ( 70 , 4480 ) 3900 2772 2418 2205 3940 2828 2482 2275 5 M 7 16 M ( 32 , 9800 ) ( 40 , 7840 ) 4 M 9792 7830 2 M 15685 11207 1 M M M M 10 14 4 20 1 28 2 35 166 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3279 560 ( 80 , 3920 ) 3281 560 ( 100 , 3136 ) 3280 3282 3283 3284 3285 3286 3287 3288 3289 3290 3291 3292 3293 3294 3295 560 560 560 560 560 560 560 560 560 560 560 560 560 560 560 ( 98 , 3200 ) ( 112 , 2800 ) ( 128 , 2450 ) ( 140 , 2240 ) ( 160 , 1960 ) ( 196 , 1600 ) ( 200 , 1568 ) ( 224 , 1400 ) ( 280 , 1120 ) 1920 2000 1551 M 1649 1518 P 1618 1344 M 1289 1050 1060 684 884 702 588 420 1 M 70 M M 2 812 M 28 M 700 4 M 140 330 650 M 10 ( 392 , 800 ) 204 596 M 4 ( 400 , 784 ) ( 448 , 700 ) ( 490 , 640 ) 273 623 192 126 75 20 898 ( 320 , 980 ) ( 350 , 896 ) 2 112 P 1190 900 1 M 1456 1161 80 M 592 7 M 574 16 M 565 M 4 5 14 27 31 _____________________________________________________________________________ 3296 561 ( 1 , 314721 ) 3298 561 ( 9 , 34969 ) 17480 17489 ( 17 , 18513 ) 9248 9265 3297 3299 3300 3301 3302 3303 561 561 561 561 561 561 ( 3 , 104907 ) ( 11 , 28611 ) 157360 52452 14300 157361 52455 14311 M P M M P 1 4752 4785 M 33 ( 99 , 3179 ) 1540 1639 M 11 3060 3111 M 11 17 ( 33 , 9537 ) ( 51 , 6171 ) 3 51 1 167 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3304 561 ( 121 , 2601 ) 1240 3306 561 ( 187 , 1683 ) 748 3305 3307 3308 561 561 561 ( 153 , 2057 ) ( 289 , 1089 ) ( 363 , 867 ) 1361 952 1105 400 689 252 P M 935 615 1 17 M 187 P 1 M 4 3 9 13 _____________________________________________________________________________ 3309 562 ( 2 , 157922 ) 78960 78962 M 0 2 1 1 _____________________________________________________________________________ 3310 563 ( 1 , 316969 ) 158484 158485 P 1 1 0 1 _____________________________________________________________________________ 3311 564 ( 2 , 159048 ) 3313 564 ( 6 , 53016 ) 3312 3314 3315 3316 3317 3318 3319 3320 3321 3322 3323 564 564 564 564 564 564 564 564 564 564 564 79523 79525 P ( 4 , 79524 ) 39760 39764 M ( 8 , 39762 ) 19877 19885 P ( 12 , 26508 ) ( 18 , 17672 ) ( 24 , 13254 ) 26505 13248 8827 6615 26511 13260 8845 P 6639 4436 M ( 94 , 3384 ) 1645 1739 M ( 188 , 1692 ) ( 282 , 1128 ) ( 376 , 846 ) 752 423 235 2245 940 705 611 3 1 M 1 M 4400 2173 4 M ( 36 , 8836 ) ( 72 , 4418 ) 1 3 4 P 1 47 M 188 M M 12 141 4 47 9 13 168 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 3324 565 ( 1 , 319225 ) 3326 565 ( 25 , 12769 ) 3325 3327 565 565 159612 ( 5 , 63845 ) 31920 ( 113 , 2825 ) 1356 6372 159613 31925 6397 M P P 1469 M 1 5 113 2 2 1 4 _____________________________________________________________________________ 3328 566 ( 2 , 160178 ) 80088 80090 M 0 2 1 1 _____________________________________________________________________________ 3329 567 ( 1 , 321489 ) 3331 567 ( 7 , 45927 ) 22960 22967 ( 21 , 15309 ) 7644 7665 3330 3332 3333 3334 3335 3336 3337 3338 3339 3340 3341 567 567 567 567 567 567 567 567 567 567 567 ( 3 , 107163 ) ( 9 , 35721 ) ( 27 , 11907 ) 160744 53580 17856 5940 160745 53583 M 17865 P ( 81 , 3969 ) 1944 2025 M ( 189 , 1701 ) ( 243 , 1323 ) ( 441 , 729 ) 1020 756 540 144 2583 945 585 1 M 1167 783 21 M 3305 ( 147 , 2187 ) 9 M 5967 M 1 7 M 3256 2520 3 M ( 49 , 6561 ) ( 63 , 5103 ) P 27 63 81 M 3 189 M 27 M 2 9 11 13 _____________________________________________________________________________ 3342 3343 568 568 ( 2 , 161312 ) ( 4 , 80656 ) 80655 40326 80657 40330 P M 1 2 169 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3344 568 ( 8 , 40328 ) 20160 20168 3346 568 ( 32 , 10082 ) 5025 5057 3345 3347 3348 568 568 568 ( 16 , 20164 ) ( 142 , 2272 ) ( 284 , 1136 ) 10074 1065 426 M 10090 1207 710 P M 8 M 2 1 M 71 2 142 5 7 _____________________________________________________________________________ 3349 569 ( 1 , 323761 ) 161880 161881 P 1 1 0 1 _____________________________________________________________________________ 3350 570 ( 2 , 162450 ) 3352 570 ( 10 , 32490 ) 3351 3353 3354 3355 3356 3357 3358 3359 3360 3361 3362 570 570 570 570 570 570 570 570 570 570 570 81224 81226 ( 6 , 54150 ) 27072 27078 ( 18 , 18050 ) 9016 9034 ( 30 , 10830 ) 16240 5400 M 2 M 16250 M 5430 6 M 2 M 30 ( 38 , 8550 ) 4256 4294 M 38 ( 90 , 3610 ) 1760 1850 M 10 ( 50 , 6498 ) ( 114 , 2850 ) ( 150 , 2166 ) ( 190 , 1710 ) ( 342 , 950 ) ( 450 , 722 ) 3224 1368 1008 760 304 136 3274 M 1482 1158 950 646 586 2 M M 114 M 6 190 M M 10 38 0 2 13 13 _____________________________________________________________________________ 3363 571 ( 1 , 326041 ) 163020 163021 P 1 0 1 1 170 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 3364 572 ( 2 , 163592 ) 3366 572 ( 8 , 40898 ) 3365 3367 3368 3369 3370 3371 3372 3373 3374 3375 3376 572 572 572 572 572 572 572 572 572 572 572 81795 81797 ( 4 , 81796 ) 40896 40900 ( 22 , 14872 ) 7425 7447 ( 26 , 12584 ) 20445 P M 20453 6279 1 4 P 1 M 6305 11 M 13 ( 44 , 7436 ) 3696 3740 M 44 ( 88 , 3718 ) 1815 1903 M 11 ( 52 , 6292 ) ( 104 , 3146 ) ( 242 , 1352 ) ( 286 , 1144 ) ( 338 , 968 ) ( 484 , 676 ) 3120 3172 1521 1625 555 797 429 315 96 M P 715 653 580 52 M 1 M P 1 M 4 4 13 143 9 13 _____________________________________________________________________________ 3377 573 ( 1 , 328329 ) 3379 573 ( 9 , 36481 ) 3378 3380 573 573 ( 3 , 109443 ) ( 191 , 1719 ) 164164 54720 18236 764 164165 54723 18245 955 M M P P 1 2 3 1 191 2 4 _____________________________________________________________________________ 3381 574 ( 2 , 164738 ) 3383 574 ( 82 , 4018 ) 3382 3384 574 574 ( 14 , 23534 ) ( 98 , 3362 ) 82368 11760 1968 1632 82370 11774 2050 1730 M M M 2 M 82 0 2 4 14 4 171 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 3385 575 ( 1 , 330625 ) 3387 575 ( 23 , 14375 ) 3386 3388 3389 3390 3391 575 575 575 575 575 165312 ( 5 , 66125 ) 33060 ( 25 , 13225 ) 6600 ( 115 , 2875 ) ( 125 , 2645 ) ( 529 , 625 ) 165313 33065 M P 5 7176 7199 M 23 1380 1495 M 115 1260 48 6625 1385 577 M P 1 25 M 2 1 5 5 7 _____________________________________________________________________________ 3392 576 ( 2 , 165888 ) 3394 576 ( 6 , 55296 ) 3393 3395 3396 3397 3398 3399 3400 3401 3402 3403 3404 3405 3406 3407 3408 576 576 576 576 576 576 576 576 576 576 576 576 576 576 576 82943 82945 P 1 ( 4 , 82944 ) 41470 41474 M 2 ( 8 , 41472 ) 20732 20740 M 4 ( 12 , 27648 ) ( 16 , 20736 ) ( 18 , 18432 ) ( 24 , 13824 ) ( 32 , 10368 ) 27645 13818 10360 27651 M 13830 10376 M 9207 9225 M 5168 5200 M 6900 6924 3 M M 6 9 12 16 ( 36 , 9216 ) 4590 4626 M 18 ( 54 , 6144 ) 3045 3099 M 3 ( 48 , 6912 ) ( 64 , 5184 ) ( 72 , 4608 ) ( 96 , 3456 ) ( 108 , 3072 ) ( 128 , 2592 ) 3432 2560 2268 1680 1482 1232 3480 2624 2340 1776 1590 1360 M M M M M M 8 24 64 36 48 6 16 172 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3409 576 ( 144 , 2304 ) 1080 3411 576 ( 192 , 1728 ) 768 3410 3412 3413 3414 3415 3416 3417 3418 576 576 576 576 576 576 576 576 ( 162 , 2048 ) ( 216 , 1536 ) ( 256 , 1296 ) ( 288 , 1152 ) ( 324 , 1024 ) 943 1105 660 876 520 432 240 ( 512 , 648 ) 68 168 M P 1 72 960 M 192 776 M 8 M 720 350 ( 384 , 864 ) ( 432 , 768 ) 1224 M 674 144 M 624 600 12 2 M 48 M 580 M 2 4 24 25 27 _____________________________________________________________________________ 3419 577 ( 1 , 332929 ) 166464 166465 P 1 1 0 1 _____________________________________________________________________________ 3420 3421 578 578 ( 2 , 167042 ) ( 34 , 9826 ) 83520 4896 83522 4930 M M 0 2 34 2 2 _____________________________________________________________________________ 3422 579 ( 1 , 335241 ) 3424 579 ( 9 , 37249 ) 3423 3425 579 579 ( 3 , 111747 ) ( 193 , 1737 ) 167620 55872 18620 772 167621 55875 18629 965 M M P P 1 2 3 193 2 1 4 _____________________________________________________________________________ 3426 3427 580 580 ( 2 , 168200 ) ( 4 , 84100 ) 84099 42048 84101 42052 P M 1 4 173 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3428 580 ( 8 , 42050 ) 21021 21029 3430 580 ( 20 , 16820 ) 8400 8420 3429 3431 3432 3433 3434 3435 3436 3437 3438 580 580 580 580 580 580 580 580 580 ( 10 , 33640 ) 16815 P 16825 M ( 40 , 8410 ) 4185 4225 M ( 58 , 5800 ) 2871 2929 M ( 50 , 6728 ) ( 100 , 3364 ) ( 116 , 2900 ) ( 200 , 1682 ) ( 232 , 1450 ) ( 290 , 1160 ) 3339 1632 1392 3389 1732 1508 P 435 725 M 5 20 5 1 29 M 941 841 M P 741 609 1 4 M 116 1 M 29 4 145 9 13 _____________________________________________________________________________ 3439 581 ( 1 , 337561 ) 3441 581 ( 49 , 6889 ) 3440 3442 581 581 ( 7 , 48223 ) ( 83 , 4067 ) 168780 24108 3420 1992 168781 24115 3469 2075 P M M P 7 1 2 1 83 2 4 _____________________________________________________________________________ 3443 582 ( 2 , 169362 ) 3445 582 ( 18 , 18818 ) 3444 3446 582 582 84680 ( 6 , 56454 ) 28224 ( 194 , 1746 ) 776 9400 84682 M 28230 9418 970 2 M M 6 M 2 0 194 4 4 _____________________________________________________________________________ 3447 3448 583 583 ( 1 , 339889 ) ( 11 , 30899 ) 169944 15444 169945 15455 M P 1 11 174 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3449 3450 583 583 ( 53 , 6413 ) ( 121 , 2809 ) 3180 1344 3233 1465 M P 53 2 1 2 4 _____________________________________________________________________________ 3451 584 ( 2 , 170528 ) 3453 584 ( 8 , 42632 ) 3452 3454 3455 3456 3457 584 584 584 584 584 ( 4 , 85264 ) ( 16 , 21316 ) ( 32 , 10658 ) ( 146 , 2336 ) ( 292 , 1168 ) 85263 42630 21312 10650 5313 1095 438 85265 P 42634 M 21320 5345 730 2 M 10666 1241 1 P M 8 M 2 1 M 73 2 146 5 7 _____________________________________________________________________________ 3458 585 ( 1 , 342225 ) 3460 585 ( 5 , 68445 ) 3459 3461 3462 3463 3464 3465 3466 3467 3468 3469 3470 3471 585 585 585 585 585 585 585 585 585 585 585 585 ( 3 , 114075 ) ( 9 , 38025 ) ( 13 , 26325 ) ( 15 , 22815 ) ( 25 , 13689 ) ( 27 , 12675 ) 171112 57036 34220 19008 13156 11400 6832 6324 171113 57039 M 34225 6351 9 M P M M 13 1 4368 4407 M 39 ( 65 , 5265 ) 2600 2665 M 65 ( 75 , 4563 ) ( 81 , 4225 ) ( 117 , 2925 ) 3780 2244 2072 1404 3825 2319 2153 1521 M M P M 15 3 ( 39 , 8775 ) ( 45 , 7605 ) 1 5 M 13169 6857 3 M 19017 11415 P 45 3 1 117 175 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3472 585 ( 135 , 2535 ) 1200 3474 585 ( 195 , 1755 ) 780 3473 3475 3476 3477 3478 3479 585 585 585 585 585 585 ( 169 , 2025 ) ( 225 , 1521 ) ( 325 , 1053 ) 928 1097 648 873 364 ( 351 , 975 ) 312 ( 507 , 675 ) 84 ( 405 , 845 ) 1335 220 M P 1 15 975 M 195 689 M 13 M 663 625 9 M 39 M 591 M 4 3 5 18 22 _____________________________________________________________________________ 3480 586 ( 2 , 171698 ) 85848 85850 M 0 2 1 1 _____________________________________________________________________________ 3481 587 ( 1 , 344569 ) 172284 172285 P 1 1 0 1 _____________________________________________________________________________ 3482 588 ( 2 , 172872 ) 3484 588 ( 6 , 57624 ) 3483 3485 3486 3487 3488 3489 3490 3491 3492 588 588 588 588 588 588 588 588 588 86435 86437 P ( 4 , 86436 ) 43216 43220 M ( 8 , 43218 ) 21605 21613 P ( 12 , 28812 ) ( 14 , 24696 ) ( 18 , 19208 ) ( 24 , 14406 ) ( 28 , 12348 ) ( 36 , 9604 ) ( 42 , 8232 ) 28809 14400 12341 28815 9613 P 6160 6188 M 4784 4095 7215 4820 4137 3 1 M 9595 7191 4 M 14412 12355 1 M M M M 1 3 12 7 28 4 21 176 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3493 588 ( 56 , 6174 ) 3059 3115 M 3495 588 ( 84 , 4116 ) 2016 2100 M 3494 3496 3497 3498 3499 3500 3501 3502 3503 588 588 588 588 588 588 588 588 588 ( 72 , 4802 ) ( 98 , 3528 ) ( 126 , 2744 ) ( 168 , 2058 ) ( 196 , 1764 ) ( 252 , 1372 ) ( 294 , 1176 ) ( 392 , 882 ) ( 504 , 686 ) 2365 2437 1715 1113 560 812 784 441 91 1 84 M 1435 945 245 P 1813 1309 7 49 M 7 M 21 980 M 196 735 M 147 637 595 M 28 M M 4 7 49 18 22 _____________________________________________________________________________ 3504 589 ( 1 , 346921 ) 3506 589 ( 31 , 11191 ) 3505 3507 589 589 ( 19 , 18259 ) ( 361 , 961 ) 173460 9120 5580 300 173461 9139 5611 661 P M M P 2 19 1 1 31 2 4 _____________________________________________________________________________ 3508 590 ( 2 , 174050 ) 3510 590 ( 50 , 6962 ) 3509 3511 590 590 ( 10 , 34810 ) ( 118 , 2950 ) 87024 17400 3456 1416 87026 17410 3506 1534 M M 2 M M 2 0 10 118 4 4 _____________________________________________________________________________ 3512 3513 591 591 ( 1 , 349281 ) ( 3 , 116427 ) 174640 58212 174641 58215 M P 3 1 177 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3514 3515 591 591 ( 9 , 38809 ) ( 197 , 1773 ) 19400 788 19409 985 P M 1 2 197 2 4 _____________________________________________________________________________ 3516 592 ( 2 , 175232 ) 3518 592 ( 8 , 43808 ) 3517 3519 3520 3521 3522 3523 3524 3525 592 592 592 592 592 592 592 592 ( 4 , 87616 ) ( 16 , 21904 ) ( 32 , 10952 ) ( 64 , 5476 ) ( 74 , 4736 ) ( 128 , 2738 ) ( 148 , 2368 ) ( 296 , 1184 ) 87615 43806 21900 10944 5460 2706 2331 1305 1110 444 87617 P 43810 M 21908 2770 2405 1433 1258 740 2 M 10960 5492 1 M 4 M 4 M 2 P 1 M M 16 37 M 74 2 148 8 10 _____________________________________________________________________________ 3526 593 ( 1 , 351649 ) 175824 175825 P 1 1 0 1 _____________________________________________________________________________ 3527 594 ( 2 , 176418 ) 3529 594 ( 18 , 19602 ) 3528 3530 3531 3532 3533 3534 594 594 594 594 594 594 88208 ( 6 , 58806 ) 29400 ( 22 , 16038 ) 8008 ( 54 , 6534 ) ( 66 , 5346 ) ( 162 , 2178 ) ( 198 , 1782 ) 9792 3240 2640 1008 792 88210 M 29406 M 9810 8030 3294 2706 1170 990 M M M M M M 2 6 18 22 54 66 18 198 178 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3535 3536 594 594 ( 242 , 1458 ) ( 486 , 726 ) 608 120 850 606 M M 2 0 6 10 10 _____________________________________________________________________________ 3537 595 ( 1 , 354025 ) 3539 595 ( 7 , 50575 ) 3538 3540 3541 3542 3543 3544 3545 3546 3547 3548 3549 595 595 595 595 595 595 595 595 595 595 595 ( 5 , 70805 ) ( 17 , 20825 ) ( 25 , 14161 ) ( 35 , 10115 ) ( 49 , 7225 ) ( 85 , 4165 ) ( 119 , 2975 ) ( 175 , 2023 ) ( 245 , 1445 ) ( 289 , 1225 ) ( 425 , 833 ) 177012 35400 25284 10404 7068 5040 3588 2040 1428 177013 35405 25291 7093 629 1 35 85 M 119 M 845 17 1 M 1547 757 M P 2125 1 7 M 3637 468 204 P 5075 1099 5 M 10421 924 600 M P M 5 P 7 1 M 4 17 9 13 _____________________________________________________________________________ 3550 596 ( 2 , 177608 ) 3552 596 ( 8 , 44402 ) 3551 3553 596 596 88803 ( 4 , 88804 ) 44400 ( 298 , 1192 ) 447 22197 88805 P 44404 22205 745 1 M M 4 P 1 2 149 2 4 _____________________________________________________________________________ 3554 3555 597 597 ( 1 , 356409 ) ( 3 , 118803 ) 178204 59400 178205 59403 M P 3 1 179 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3556 3557 597 597 ( 9 , 39601 ) ( 199 , 1791 ) 19796 796 19805 995 P M 1 2 199 2 4 _____________________________________________________________________________ 3558 598 ( 2 , 178802 ) 3560 598 ( 46 , 7774 ) 3559 3561 598 598 ( 26 , 13754 ) ( 338 , 1058 ) 89400 6864 3864 360 89402 6890 3910 698 M M 2 26 M M 0 2 46 4 4 _____________________________________________________________________________ 3562 599 ( 1 , 358801 ) 179400 179401 P 1 1 0 1 _____________________________________________________________________________ 3563 600 ( 2 , 180000 ) 3565 600 ( 6 , 60000 ) 3564 3566 3567 3568 3569 3570 3571 3572 3573 3574 3575 3576 600 600 600 600 600 600 600 600 600 600 600 600 89999 90001 P 1 ( 4 , 90000 ) 44998 45002 M 2 ( 8 , 45000 ) 22496 22504 M 8 ( 10 , 36000 ) ( 12 , 30000 ) ( 16 , 22500 ) ( 18 , 20000 ) ( 20 , 18000 ) ( 24 , 15000 ) ( 30 , 12000 ) ( 32 , 11250 ) ( 36 , 10000 ) ( 40 , 9000 ) 29997 17995 14994 11242 30003 18005 7488 7512 5985 5609 4982 4480 5 M 11258 10009 3 M 15006 9991 8990 M M P 6 1 2 9010 M 10 6015 M 15 5641 5018 4520 M P M M 24 1 2 40 180 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3577 600 ( 48 , 7500 ) 3726 3774 M 6 3579 600 ( 60 , 6000 ) 2970 3030 M 30 3578 3580 3581 3582 3583 3584 3585 3586 3587 3588 3589 3590 3591 3592 3593 3594 3595 3596 3597 3598 3599 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 600 ( 50 , 7200 ) ( 72 , 5000 ) ( 80 , 4500 ) ( 90 , 4000 ) ( 96 , 3750 ) ( 100 , 3600 ) ( 120 , 3000 ) ( 144 , 2500 ) ( 150 , 2400 ) ( 160 , 2250 ) ( 180 , 2000 ) ( 200 , 1800 ) ( 240 , 1500 ) ( 250 , 1440 ) ( 288 , 1250 ) ( 300 , 1200 ) ( 360 , 1000 ) 3575 2464 2210 1955 1827 1750 1440 1178 1125 1045 3625 M 2536 M 2290 2045 1850 1322 1275 769 P 680 75 M M 320 2 M 1205 750 120 M 870 450 50 M 630 481 3 M 1560 845 5 M 1090 595 10 M 1923 1000 8 M 910 800 25 5 M 10 M 200 30 M 5 1 M 150 M 40 ( 400 , 900 ) 250 650 M 50 ( 480 , 750 ) 135 615 M 15 ( 450 , 800 ) ( 500 , 720 ) 175 110 625 610 M M 25 4 10 33 37 _____________________________________________________________________________ 3600 601 ( 1 , 361201 ) 180600 180601 P 1 0 1 1 181 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 3601 602 ( 2 , 181202 ) 3603 602 ( 86 , 4214 ) 3602 3604 602 602 ( 14 , 25886 ) ( 98 , 3698 ) 90600 12936 2064 1800 90602 12950 2150 1898 M 2 M M M 14 86 0 2 4 4 _____________________________________________________________________________ 3605 603 ( 1 , 363609 ) 3607 603 ( 9 , 40401 ) 20196 ( 67 , 5427 ) 2680 2747 M ( 201 , 1809 ) 804 1005 M 3606 3608 3609 3610 3611 603 603 603 603 603 ( 3 , 121203 ) ( 27 , 13467 ) ( 81 , 4489 ) 181804 60600 6720 2204 181805 60603 20205 6747 2285 M P 3 M 1 9 M 3 67 P 1 2 201 5 7 _____________________________________________________________________________ 3612 604 ( 2 , 182408 ) 3614 604 ( 8 , 45602 ) 3613 3615 604 604 91203 ( 4 , 91204 ) 45600 ( 302 , 1208 ) 453 22797 91205 P 45604 22805 755 1 M 4 P M 1 2 151 2 4 _____________________________________________________________________________ 3616 605 ( 1 , 366025 ) 3618 605 ( 11 , 33275 ) 3617 3619 3620 605 605 605 183012 183013 ( 5 , 73205 ) 36600 36605 ( 25 , 14641 ) 7308 7333 ( 55 , 6655 ) 16632 3300 16643 3355 M P M M P 5 1 55 1 11 182 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3621 3622 605 605 ( 121 , 3025 ) ( 275 , 1331 ) 1452 528 1573 803 M M 121 11 2 5 7 _____________________________________________________________________________ 3623 606 ( 2 , 183618 ) 3625 606 ( 18 , 20402 ) 3624 3626 606 606 91808 ( 6 , 61206 ) 30600 ( 202 , 1818 ) 808 10192 91810 M 30606 2 M 10210 1010 6 M M 2 202 0 4 4 _____________________________________________________________________________ 3627 607 ( 1 , 368449 ) 184224 184225 P 1 1 0 1 _____________________________________________________________________________ 3628 608 ( 2 , 184832 ) 3630 608 ( 8 , 46208 ) 3629 3631 3632 3633 3634 3635 3636 3637 3638 3639 3640 608 608 608 608 608 608 608 608 608 608 608 ( 4 , 92416 ) ( 16 , 23104 ) ( 32 , 11552 ) 92415 46206 23100 11544 5760 92417 P 46210 1 M 23108 2 M 11560 5792 M 4 M 8 32 ( 38 , 9728 ) 4845 4883 M 19 ( 76 , 4864 ) 2394 2470 M 38 ( 64 , 5776 ) ( 128 , 2888 ) ( 152 , 2432 ) ( 256 , 1444 ) ( 304 , 1216 ) ( 512 , 722 ) 2856 1380 1140 594 456 105 2920 M 1508 1292 850 760 617 8 M M 4 M 2 M P 2 1 76 152 11 13 183 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 3641 609 ( 1 , 370881 ) 3643 609 ( 7 , 52983 ) 26488 26495 ( 21 , 17661 ) 8820 8841 3642 3644 3645 3646 3647 3648 3649 3650 3651 3652 3653 609 609 609 609 609 609 609 609 609 609 609 ( 3 , 123627 ) ( 9 , 41209 ) ( 29 , 12789 ) 185440 61812 20600 6380 185441 61815 M 20609 P ( 87 , 4263 ) 2088 2175 M ( 203 , 1827 ) ( 261 , 1421 ) ( 441 , 841 ) 1188 812 580 200 2975 29 7 87 M 1015 641 1 M 1335 841 21 M 3809 ( 147 , 2523 ) 1 M 6409 1 7 P 3760 2912 3 M ( 49 , 7569 ) ( 63 , 5887 ) P 3 M 203 M P 4 1 29 9 13 _____________________________________________________________________________ 3654 610 ( 2 , 186050 ) 3656 610 ( 50 , 7442 ) 3655 3657 610 610 ( 10 , 37210 ) ( 122 , 3050 ) 93024 18600 3696 1464 93026 18610 3746 1586 M M 2 M M 2 0 10 122 4 4 _____________________________________________________________________________ 3658 611 ( 1 , 373321 ) 3660 611 ( 47 , 7943 ) 3659 3661 611 611 ( 13 , 28717 ) ( 169 , 2209 ) 186660 14352 3948 1020 186661 14365 3995 1189 M P M P 1 47 2 1 2 13 4 184 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 3662 612 ( 2 , 187272 ) 3664 612 ( 6 , 62424 ) 3663 3665 3666 3667 3668 3669 3670 3671 3672 3673 3674 3675 3676 3677 3678 3679 3680 3681 3682 3683 612 612 612 612 612 612 612 612 612 612 612 612 612 612 612 612 612 612 612 612 93635 93637 P ( 4 , 93636 ) 46816 46820 M ( 8 , 46818 ) 23405 23413 P ( 12 , 31212 ) ( 18 , 20808 ) ( 24 , 15606 ) ( 34 , 11016 ) ( 36 , 10404 ) 31209 31215 15600 3 1 M 10413 7791 7815 M 5184 5220 M 5491 4 M 15612 10395 1 5525 M 3 M 36 3441 3495 M 3 ( 72 , 5202 ) 2565 2637 M 9 ( 102 , 3672 ) ( 108 , 3468 ) ( 136 , 2754 ) ( 162 , 2312 ) ( 204 , 1836 ) ( 216 , 1734 ) ( 306 , 1224 ) ( 324 , 1156 ) ( 408 , 918 ) ( 578 , 648 ) 2720 2788 1785 1680 1020 459 765 759 416 35 12 M 1237 816 51 M 1445 1075 68 M 1788 1309 255 M 1887 17 P 1 M 975 M 3 740 M 4 663 613 M 204 153 M P 9 17 ( 54 , 6936 ) ( 68 , 5508 ) 12 4 1 51 18 22 _____________________________________________________________________________ 3684 613 ( 1 , 375769 ) 187884 187885 P 1 0 1 1 185 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 3685 614 ( 2 , 188498 ) 94248 94250 M 0 2 1 1 _____________________________________________________________________________ 3686 615 ( 1 , 378225 ) 3688 615 ( 5 , 75645 ) 3687 3689 3690 3691 3692 3693 3694 3695 3696 3697 3698 615 615 615 615 615 615 615 615 615 615 615 ( 3 , 126075 ) ( 9 , 42025 ) ( 15 , 25215 ) ( 25 , 15129 ) 189112 63036 37820 21008 12600 7552 189113 63039 M 37825 3 M 21017 P 1 M 1 ( 41 , 9225 ) 4592 4633 M 41 ( 75 , 5043 ) 2484 2559 M 3 ( 45 , 8405 ) ( 123 , 3075 ) ( 205 , 1845 ) ( 225 , 1681 ) ( 369 , 1025 ) 4180 1476 4225 1599 820 1025 328 697 728 953 1 5 P 12615 7577 P M 15 5 M 123 M P 1 M 4 205 41 9 13 _____________________________________________________________________________ 3699 616 ( 2 , 189728 ) 3701 616 ( 8 , 47432 ) 3700 3702 3703 3704 3705 3706 616 616 616 616 616 616 ( 4 , 94864 ) ( 14 , 27104 ) ( 16 , 23716 ) ( 22 , 17248 ) ( 28 , 13552 ) ( 32 , 11858 ) 94863 47430 23712 13545 11850 94865 47434 23720 13559 11866 P M 8 M 8635 M 5913 5945 P 6790 2 M 8613 6762 1 M M 7 2 11 14 1 186 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3707 616 ( 44 , 8624 ) 4290 4334 M 22 3709 616 ( 88 , 4312 ) 2112 2200 M 88 3708 3710 3711 3712 3713 3714 3715 3716 3717 3718 3719 3720 616 616 616 616 616 616 616 616 616 616 616 616 ( 56 , 6776 ) ( 98 , 3872 ) ( 112 , 3388 ) ( 154 , 2464 ) ( 176 , 2156 ) ( 196 , 1936 ) ( 224 , 1694 ) ( 242 , 1568 ) ( 308 , 1232 ) ( 352 , 1078 ) ( 392 , 968 ) ( 484 , 784 ) 3360 1887 1638 1155 3416 M 1985 P 1750 1309 M 1166 735 959 M 770 M 663 462 363 288 150 680 634 22 M 905 14 77 M 1066 715 1 M 990 870 56 7 P 2 1 154 M 11 M 8 M 4 2 18 22 _____________________________________________________________________________ 3721 617 ( 1 , 380689 ) 190344 190345 P 1 1 0 1 _____________________________________________________________________________ 3722 618 ( 2 , 190962 ) 3724 618 ( 18 , 21218 ) 3723 3725 618 618 95480 ( 6 , 63654 ) 31824 ( 206 , 1854 ) 824 10600 95482 M 31830 10618 1030 2 M M 6 M 2 0 206 4 4 _____________________________________________________________________________ 3726 619 ( 1 , 383161 ) 191580 191581 P 1 0 1 1 187 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 3727 620 ( 2 , 192200 ) 3729 620 ( 8 , 48050 ) 3728 3730 3731 3732 3733 3734 3735 3736 3737 3738 3739 620 620 620 620 620 620 620 620 620 620 620 ( 4 , 96100 ) ( 10 , 38440 ) ( 20 , 19220 ) 96099 48048 24021 19215 9600 96101 P 48052 M 24029 19225 9620 M 4785 4825 M ( 62 , 6200 ) 3069 3131 M ( 100 , 3844 ) ( 124 , 3100 ) ( 200 , 1922 ) ( 248 , 1550 ) ( 310 , 1240 ) 3819 1872 1488 3869 465 775 651 M 5 1 31 4 M P 899 5 20 M 1612 1061 1 P 1972 861 4 P ( 40 , 9610 ) ( 50 , 7688 ) 1 1 M 124 31 M 155 4 9 13 _____________________________________________________________________________ 3740 621 ( 1 , 385641 ) 3742 621 ( 9 , 42849 ) 21420 ( 27 , 14283 ) 7128 3741 3743 3744 3745 3746 3747 3748 3749 621 621 621 621 621 621 621 621 ( 3 , 128547 ) ( 23 , 16767 ) 192820 64272 8372 192821 64275 21429 M P 3 M 8395 9 M 7155 23 M 27 ( 69 , 5589 ) 2760 2829 M 69 ( 207 , 1863 ) 828 1035 M 207 ( 81 , 4761 ) ( 243 , 1587 ) ( 529 , 729 ) 2340 672 100 2421 915 629 M 9 M P 1 2 1 3 8 10 188 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 3750 622 ( 2 , 193442 ) 96720 96722 M 0 2 1 1 _____________________________________________________________________________ 3751 623 ( 1 , 388129 ) 3753 623 ( 49 , 7921 ) 3752 3754 623 623 ( 7 , 55447 ) ( 89 , 4361 ) 194064 27720 3936 2136 194065 27727 3985 2225 P M M P 7 1 2 1 89 2 4 _____________________________________________________________________________ 3755 624 ( 2 , 194688 ) 3757 624 ( 6 , 64896 ) 3756 3758 3759 3760 3761 3762 3763 3764 3765 3766 3767 3768 3769 3770 3771 624 624 624 624 624 624 624 624 624 624 624 624 624 624 624 97343 97345 P 1 ( 4 , 97344 ) 48670 48674 M 2 ( 8 , 48672 ) 24332 24340 M 4 ( 12 , 32448 ) ( 16 , 24336 ) ( 18 , 21632 ) ( 24 , 16224 ) ( 26 , 14976 ) ( 32 , 12168 ) ( 36 , 10816 ) 32445 16218 12160 10807 32451 M 16230 M 12176 10825 8124 M 6068 6100 M 5390 7501 5426 6 M 8100 7475 3 M M P 16 1 12 13 4 2 ( 48 , 8112 ) 4032 4080 M 48 ( 64 , 6084 ) 3010 3074 M 2 ( 52 , 7488 ) ( 72 , 5408 ) ( 78 , 4992 ) ( 96 , 4056 ) 3718 2668 2457 1980 3770 2740 2535 2076 M M M M 26 4 39 12 189 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3772 624 ( 104 , 3744 ) 1820 1924 M 3774 624 ( 144 , 2704 ) 1280 1424 M 3773 3775 3776 3777 3778 3779 3780 3781 3782 3783 3784 3785 624 624 624 624 624 624 624 624 624 624 624 624 ( 128 , 3042 ) ( 156 , 2496 ) ( 192 , 2028 ) ( 208 , 1872 ) ( 234 , 1664 ) ( 288 , 1352 ) ( 312 , 1248 ) ( 338 , 1152 ) ( 384 , 1014 ) 1457 1170 P 1326 1 16 M 78 918 1110 715 949 M 13 780 M 156 832 407 ( 576 , 676 ) 50 182 4 P 699 1 M 676 650 208 M 745 315 6 M 820 468 260 M 1040 532 ( 416 , 936 ) ( 468 , 832 ) 1585 52 3 M 52 M 626 M 4 2 26 27 31 _____________________________________________________________________________ 3786 625 ( 1 , 390625 ) 3788 625 ( 25 , 15625 ) 3787 3789 625 625 195312 ( 5 , 78125 ) 39060 ( 125 , 3125 ) 1500 7800 195313 39065 7825 1625 M P M M 5 1 25 1 125 3 4 _____________________________________________________________________________ 3790 626 ( 2 , 195938 ) 97968 97970 M 0 1 2 1 _____________________________________________________________________________ 3791 3792 627 627 ( 1 , 393129 ) ( 3 , 131043 ) 196564 65520 196565 65523 M P 3 1 190 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3793 627 ( 9 , 43681 ) 3795 627 ( 19 , 20691 ) 3794 3796 3797 3798 3799 3800 3801 3802 3803 627 627 627 627 627 627 627 627 627 ( 11 , 35739 ) ( 33 , 11913 ) ( 57 , 6897 ) ( 99 , 3971 ) ( 121 , 3249 ) ( 171 , 2299 ) ( 209 , 1881 ) ( 361 , 1089 ) ( 363 , 1083 ) 21836 17864 10336 5940 3420 1936 1564 1064 21845 17875 5973 3477 2035 1685 1235 1045 360 723 725 1 M 10355 836 364 P M M 11 19 33 M 57 M 11 P 1 M 19 M P 1 M 4 3 209 9 13 _____________________________________________________________________________ 3804 628 ( 2 , 197192 ) 3806 628 ( 8 , 49298 ) 3805 3807 628 628 98595 ( 4 , 98596 ) 49296 ( 314 , 1256 ) 471 24645 98597 P 49300 24653 785 1 M M 4 P 1 2 157 2 4 _____________________________________________________________________________ 3808 629 ( 1 , 395641 ) 3810 629 ( 37 , 10693 ) 3809 3811 629 629 197820 ( 17 , 23273 ) 11628 ( 289 , 1369 ) 540 5328 197821 11645 5365 829 P M M P 2 1 17 1 37 2 4 _____________________________________________________________________________ 3812 3813 630 630 ( 2 , 198450 ) ( 6 , 66150 ) 99224 33072 99226 33078 M M 2 6 191 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3814 630 ( 10 , 39690 ) 19840 19850 M 10 3816 630 ( 18 , 22050 ) 11016 11034 M 18 3815 3817 3818 3819 3820 3821 3822 3823 3824 3825 3826 3827 3828 3829 3830 3831 3832 3833 630 630 630 630 630 630 630 630 630 630 630 630 630 630 630 630 630 630 ( 14 , 28350 ) ( 30 , 13230 ) 14168 6600 14182 M 6630 M 14 30 ( 42 , 9450 ) 4704 4746 M 42 ( 54 , 7350 ) 3648 3702 M 6 ( 50 , 7938 ) ( 70 , 5670 ) ( 90 , 4410 ) ( 98 , 4050 ) ( 126 , 3150 ) ( 150 , 2646 ) ( 162 , 2450 ) ( 210 , 1890 ) ( 270 , 1470 ) ( 294 , 1350 ) ( 350 , 1134 ) ( 378 , 1050 ) ( 450 , 882 ) ( 490 , 810 ) 3944 2800 2160 1976 1512 1248 1144 3994 2870 392 336 216 160 2 M 1398 126 M 1306 822 90 M 1638 528 70 M 2074 1050 2 M 2250 840 600 M 6 M 2 M 210 870 M 30 742 M 14 714 666 650 M 6 M 42 M 18 M 0 10 22 22 _____________________________________________________________________________ 3834 631 ( 1 , 398161 ) 199080 199081 P 1 1 0 1 _____________________________________________________________________________ 3835 3836 632 632 ( 2 , 199712 ) ( 4 , 99856 ) 99855 49926 99857 49930 P M 1 2 192 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3837 632 ( 8 , 49928 ) 24960 24968 3839 632 ( 32 , 12482 ) 6225 6257 3838 3840 3841 632 632 632 ( 16 , 24964 ) ( 158 , 2528 ) ( 316 , 1264 ) 12474 1185 474 M 12490 1343 790 P M 8 M 2 1 M 79 2 158 5 7 _____________________________________________________________________________ 3842 633 ( 1 , 400689 ) 3844 633 ( 9 , 44521 ) 3843 3845 633 633 ( 3 , 133563 ) ( 211 , 1899 ) 200344 66780 22256 844 200345 66783 22265 1055 M M P P 1 2 3 1 211 2 4 _____________________________________________________________________________ 3846 634 ( 2 , 200978 ) 100488 100490 M 0 2 1 1 _____________________________________________________________________________ 3847 635 ( 1 , 403225 ) 3849 635 ( 25 , 16129 ) 3848 3850 635 635 201612 ( 5 , 80645 ) 40320 ( 127 , 3175 ) 1524 8052 201613 40325 8077 1651 M P P M 1 2 5 1 127 2 4 _____________________________________________________________________________ 3851 636 ( 2 , 202248 ) 3853 636 ( 6 , 67416 ) 3852 3854 3855 636 636 636 ( 4 , 101124 ) ( 8 , 50562 ) ( 12 , 33708 ) 101123 50560 33705 25277 16848 101125 50564 33711 25285 16860 M M P M P 4 1 3 1 12 193 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3856 636 ( 18 , 22472 ) 11227 3858 636 ( 36 , 11236 ) 5600 3857 3859 3860 3861 3862 3863 636 636 636 636 636 636 ( 24 , 16854 ) 8415 11245 8439 M 5636 2773 2845 P ( 212 , 1908 ) 848 1060 M ( 318 , 1272 ) ( 424 , 954 ) 1855 477 265 1961 795 689 3 M ( 72 , 5618 ) ( 106 , 3816 ) P 1 M 1 4 53 212 M 159 M 4 53 9 13 _____________________________________________________________________________ 3864 637 ( 1 , 405769 ) 3866 637 ( 13 , 31213 ) 3865 3867 3868 3869 3870 637 637 637 637 637 202884 ( 7 , 57967 ) 28980 ( 49 , 8281 ) 4116 ( 91 , 4459 ) ( 169 , 2401 ) ( 343 , 1183 ) 15600 2184 1116 420 202885 28987 15613 4165 2275 1285 763 M M P 7 M 49 M M 1 13 91 P 2 7 1 5 7 _____________________________________________________________________________ 3871 638 ( 2 , 203522 ) 3873 638 ( 58 , 7018 ) 3872 3874 638 638 ( 22 , 18502 ) ( 242 , 1682 ) 101760 9240 3480 720 101762 9262 3538 962 M M M M 0 22 2 2 58 4 4 _____________________________________________________________________________ 3875 3876 639 639 ( 1 , 408321 ) ( 3 , 136107 ) 204160 68052 204161 68055 M P 3 1 194 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3877 639 ( 9 , 45369 ) 22680 3879 639 ( 71 , 5751 ) 2840 2911 M ( 213 , 1917 ) 852 1065 M 3878 3880 3881 639 639 639 ( 27 , 15123 ) ( 81 , 5041 ) 7548 2480 22689 M 7575 9 M 2561 3 71 P 1 213 2 5 7 _____________________________________________________________________________ 3882 640 ( 2 , 204800 ) 3884 640 ( 8 , 51200 ) 3883 3885 3886 3887 3888 3889 3890 3891 3892 3893 3894 3895 3896 3897 3898 3899 3900 640 640 640 640 640 640 640 640 640 640 640 640 640 640 640 640 640 ( 4 , 102400 ) ( 10 , 40960 ) ( 16 , 25600 ) ( 20 , 20480 ) ( 32 , 12800 ) ( 40 , 10240 ) 102399 51198 25596 20475 12792 10230 6384 5100 102401 51202 M 25604 20485 12808 6416 M 5140 P ( 80 , 5120 ) 2520 2600 M ( 128 , 3200 ) ( 160 , 2560 ) ( 200 , 2048 ) ( 256 , 1600 ) ( 320 , 1280 ) ( 400 , 1024 ) ( 512 , 800 ) 1998 1536 1200 3232 800 312 144 16 1 20 32 40 2 M 1360 480 672 10 M 1664 1124 M M 2098 924 8 M 4121 ( 100 , 4096 ) 5 M 10250 128 M 80 M 4 928 M 32 712 M 8 656 M M 1 4 M 4071 3168 2 M ( 50 , 8192 ) ( 64 , 6400 ) P 160 2 16 17 19 195 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 3901 641 ( 1 , 410881 ) 205440 205441 P 1 1 0 1 _____________________________________________________________________________ 3902 642 ( 2 , 206082 ) 3904 642 ( 18 , 22898 ) 3903 3905 642 642 103040 ( 6 , 68694 ) 34344 ( 214 , 1926 ) 856 11440 103042 34350 11458 1070 M M 6 M M 2 2 214 0 4 4 _____________________________________________________________________________ 3906 643 ( 1 , 413449 ) 206724 206725 P 1 1 0 1 _____________________________________________________________________________ 3907 644 ( 2 , 207368 ) 3909 644 ( 8 , 51842 ) 25917 25925 ( 28 , 14812 ) 7392 7420 3908 3910 3911 3912 3913 3914 3915 3916 3917 3918 3919 644 644 644 644 644 644 644 644 644 644 644 ( 4 , 103684 ) ( 14 , 29624 ) 103683 51840 14805 103685 51844 M P P 14819 M 1 M 4485 4531 M 23 ( 92 , 4508 ) 2208 2300 M 92 ( 98 , 4232 ) ( 184 , 2254 ) ( 196 , 2116 ) ( 322 , 1288 ) ( 392 , 1058 ) 3675 2067 1035 3731 2165 1219 960 1156 333 725 483 805 M 7 P 1 M M 23 4 M P 7 28 ( 46 , 9016 ) ( 56 , 7406 ) 4 1 161 4 1 9 13 196 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 3920 645 ( 1 , 416025 ) 3922 645 ( 5 , 83205 ) 3921 3923 3924 3925 3926 3927 3928 3929 3930 3931 3932 645 645 645 645 645 645 645 645 645 645 645 ( 3 , 138675 ) ( 9 , 46225 ) ( 15 , 27735 ) ( 25 , 16641 ) 208012 69336 41600 208013 69339 M 41605 23108 8333 P 1 M 1 ( 43 , 9675 ) 4816 4859 M 43 ( 75 , 5547 ) 2736 2811 M 3 ( 45 , 9245 ) ( 129 , 3225 ) ( 215 , 1935 ) ( 225 , 1849 ) ( 387 , 1075 ) 4600 4645 1548 M 1677 860 1075 344 731 812 15 5 M 129 M 1037 1 5 P 13875 8308 3 M 23117 13860 P 215 P 1 M 43 4 9 13 _____________________________________________________________________________ 3933 646 ( 2 , 208658 ) 3935 646 ( 38 , 10982 ) 3934 3936 646 646 ( 34 , 12274 ) ( 578 , 722 ) 104328 6120 5472 72 104330 6154 5510 650 M M M M 0 34 2 2 38 4 4 _____________________________________________________________________________ 3937 647 ( 1 , 418609 ) 209304 209305 P 1 1 0 1 _____________________________________________________________________________ 3938 3939 648 648 ( 2 , 209952 ) ( 4 , 104976 ) 104975 52486 104977 52490 M P 2 1 197 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3940 648 ( 6 , 69984 ) 3942 648 ( 12 , 34992 ) 3941 3943 3944 3945 3946 3947 3948 3949 3950 3951 3952 3953 3954 3955 3956 3957 3958 3959 648 648 648 648 648 648 648 648 648 648 648 648 648 648 648 648 648 648 ( 8 , 52488 ) ( 16 , 26244 ) ( 18 , 23328 ) ( 24 , 17496 ) ( 32 , 13122 ) ( 36 , 11664 ) 34989 26240 17490 13114 11655 34995 M 26248 M 17502 8 M 13130 6 M 11673 8736 8760 M 5814 5850 M 6545 3 6577 2 M 9 24 P 1 18 ( 48 , 8748 ) 4350 4398 M 6 ( 72 , 5832 ) 2880 2952 M 72 ( 54 , 7776 ) ( 96 , 4374 ) ( 108 , 3888 ) ( 144 , 2916 ) ( 162 , 2592 ) ( 216 , 1944 ) ( 288 , 1458 ) ( 324 , 1296 ) ( 432 , 972 ) ( 486 , 864 ) 3861 2139 1890 1386 1215 3915 2235 810 270 189 675 18 M 81 M 873 702 54 M 1377 486 3 M 1530 1080 27 M 1998 864 585 M M 9 M 216 162 M 54 M 2 27 20 22 _____________________________________________________________________________ 3960 649 ( 1 , 421201 ) 3962 649 ( 59 , 7139 ) 3961 3963 649 649 ( 11 , 38291 ) ( 121 , 3481 ) 210600 19140 3540 1680 210601 19151 3599 1801 M P M P 1 59 2 1 2 11 4 198 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 3964 650 ( 2 , 211250 ) 3966 650 ( 26 , 16250 ) 3965 3967 3968 3969 3970 650 650 650 650 650 ( 10 , 42250 ) 105624 21120 8112 105626 21130 8138 ( 50 , 8450 ) 4200 4250 ( 250 , 1690 ) 720 970 ( 130 , 3250 ) ( 338 , 1250 ) 1560 456 M M M 10 26 M 1690 M 794 2 50 M 130 10 M 2 0 7 7 _____________________________________________________________________________ 3971 651 ( 1 , 423801 ) 3973 651 ( 7 , 60543 ) 3972 3974 3975 3976 3977 3978 3979 3980 3981 3982 3983 651 651 651 651 651 651 651 651 651 651 651 ( 3 , 141267 ) ( 9 , 47089 ) ( 21 , 20181 ) ( 31 , 13671 ) 211900 70632 30268 23540 10080 6820 211901 70635 M 30275 23549 10101 6851 M 4349 P ( 93 , 4557 ) 2232 2325 M ( 147 , 2883 ) ( 217 , 1953 ) ( 279 , 1519 ) ( 441 , 961 ) 1368 868 620 260 3395 701 M 1 21 31 7 93 M 1085 899 1 M 1515 1 7 P 4300 3332 3 M ( 49 , 8649 ) ( 63 , 6727 ) P 3 M 217 M P 4 1 31 9 13 _____________________________________________________________________________ 3984 3985 652 652 ( 2 , 212552 ) ( 4 , 106276 ) 106275 53136 106277 53140 M P 4 1 199 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 3986 3987 652 652 ( 8 , 53138 ) ( 326 , 1304 ) 26565 489 26573 815 P M 1 2 163 2 4 _____________________________________________________________________________ 3988 653 ( 1 , 426409 ) 213204 213205 P 1 1 0 1 _____________________________________________________________________________ 3989 654 ( 2 , 213858 ) 3991 654 ( 18 , 23762 ) 3990 3992 654 654 106928 ( 6 , 71286 ) 35640 ( 218 , 1962 ) 872 11872 106930 35646 11890 1090 M M M M 2 6 2 0 218 4 4 _____________________________________________________________________________ 3993 655 ( 1 , 429025 ) 3995 655 ( 25 , 17161 ) 3994 3996 655 655 214512 ( 5 , 85805 ) 42900 ( 131 , 3275 ) 1572 8568 214513 42905 8593 M P P 1703 M 1 2 5 1 131 2 4 _____________________________________________________________________________ 3997 656 ( 2 , 215168 ) 3999 656 ( 8 , 53792 ) 26892 26900 ( 32 , 13448 ) 6708 6740 3998 4000 4001 4002 4003 4004 656 656 656 656 656 656 ( 4 , 107584 ) ( 16 , 26896 ) ( 64 , 6724 ) ( 82 , 5248 ) ( 128 , 3362 ) 107583 53790 13440 3330 2583 1617 107585 53794 13456 3394 2665 1745 M P 2 M M M 4 4 M 2 P 1 M 41 1 16 200 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4005 4006 656 656 ( 164 , 2624 ) ( 328 , 1312 ) 1230 492 1394 820 M M 82 2 164 8 10 _____________________________________________________________________________ 4007 657 ( 1 , 431649 ) 4009 657 ( 9 , 47961 ) 23976 ( 73 , 5913 ) 2920 2993 M ( 219 , 1971 ) 876 1095 M 4008 4010 4011 4012 4013 657 657 657 657 657 ( 3 , 143883 ) ( 27 , 15987 ) ( 81 , 5329 ) 215824 71940 7980 2624 215825 71943 23985 8007 2705 M P 3 M 1 9 M 3 73 P 1 2 219 5 7 _____________________________________________________________________________ 4014 658 ( 2 , 216482 ) 4016 658 ( 94 , 4606 ) 4015 4017 658 658 ( 14 , 30926 ) ( 98 , 4418 ) 108240 15456 2256 2160 108242 15470 2350 2258 M M M M 94 0 14 2 4 2 4 _____________________________________________________________________________ 4018 659 ( 1 , 434281 ) 217140 217141 P 1 1 0 1 _____________________________________________________________________________ 4019 660 ( 2 , 217800 ) 4021 660 ( 6 , 72600 ) 4020 4022 4023 660 660 660 ( 4 , 108900 ) ( 8 , 54450 ) ( 10 , 43560 ) 108899 54448 36297 27221 21775 108901 54452 36303 27229 21785 M M P M P 4 3 1 5 1 201 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4024 660 ( 12 , 36300 ) 18144 18156 M 4026 660 ( 20 , 21780 ) 10880 10900 M 4025 4027 4028 4029 4030 4031 4032 4033 4034 4035 4036 4037 4038 4039 4040 4041 4042 4043 4044 4045 4046 4047 4048 4049 4050 660 660 660 660 660 660 660 660 660 660 660 660 660 660 660 660 660 660 660 660 660 660 660 660 660 ( 18 , 24200 ) ( 22 , 19800 ) ( 24 , 18150 ) ( 30 , 14520 ) ( 36 , 12100 ) ( 40 , 10890 ) 12091 12109 P 9889 9911 M 7245 7275 M 9063 6032 5425 9087 M 4928 4972 M ( 60 , 7260 ) 3600 3660 M ( 66 , 6600 ) ( 72 , 6050 ) ( 88 , 4950 ) ( 90 , 4840 ) ( 100 , 4356 ) ( 110 , 3960 ) ( 120 , 3630 ) ( 132 , 3300 ) ( 150 , 2904 ) ( 180 , 2420 ) ( 198 , 2200 ) ( 200 , 2178 ) ( 220 , 1980 ) ( 242 , 1800 ) ( 264 , 1650 ) ( 300 , 1452 ) 4331 3267 2989 2431 2375 2128 1925 1755 1584 1377 1120 1001 4381 3333 3061 2519 2465 2228 P M P M M M 2035 11 3 15 4 5 44 1 60 33 1 11 5 4 M 1875 55 M 1716 15 M 1527 132 M 1300 1199 20 M ( 44 , 9900 ) ( 50 , 8712 ) 1 M 6068 5465 12 3 M M 20 989 1189 P 1 779 1021 P 1 880 693 576 1100 957 876 M M M 11 220 33 12 202 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4051 660 ( 330 , 1320 ) 495 825 M 165 4053 660 ( 396 , 1100 ) 352 748 M 44 4052 4054 4055 4056 4057 4058 660 660 660 660 660 660 ( 360 , 1210 ) 425 785 M ( 440 , 990 ) 275 715 M ( 484 , 900 ) 208 692 M ( 450 , 968 ) ( 550 , 792 ) ( 600 , 726 ) 259 121 63 709 5 55 P 671 1 4 M 663 M 8 3 11 32 40 _____________________________________________________________________________ 4059 661 ( 1 , 436921 ) 218460 218461 P 1 1 0 1 _____________________________________________________________________________ 4060 662 ( 2 , 219122 ) 109560 109562 M 0 2 1 1 _____________________________________________________________________________ 4061 663 ( 1 , 439569 ) 4063 663 ( 9 , 48841 ) 4062 4064 4065 4066 4067 4068 4069 4070 4071 663 663 663 663 663 663 663 663 663 ( 3 , 146523 ) ( 13 , 33813 ) ( 17 , 25857 ) ( 39 , 11271 ) ( 51 , 8619 ) ( 117 , 3757 ) ( 153 , 2873 ) ( 169 , 2601 ) ( 221 , 1989 ) 219784 73260 24416 16900 12920 5616 4284 1820 1360 1216 884 219785 73263 M 24425 P 16913 12937 5655 4335 1937 1513 1385 1105 P 1 M M M M M P M M 3 1 13 17 39 51 13 17 1 221 203 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4072 4073 663 663 ( 289 , 1521 ) ( 507 , 867 ) 616 180 905 687 P M 1 4 3 9 13 _____________________________________________________________________________ 4074 664 ( 2 , 220448 ) 4076 664 ( 8 , 55112 ) 27552 27560 ( 32 , 13778 ) 6873 6905 4075 4077 4078 4079 4080 664 664 664 664 664 ( 4 , 110224 ) ( 16 , 27556 ) ( 166 , 2656 ) ( 332 , 1328 ) 110223 55110 13770 1245 498 110225 55114 830 2 M 13786 1411 M P P M 1 8 M 2 1 M 83 2 166 5 7 _____________________________________________________________________________ 4081 665 ( 1 , 442225 ) 4083 665 ( 7 , 63175 ) 4082 4084 4085 4086 4087 4088 4089 4090 4091 4092 4093 665 665 665 665 665 665 665 665 665 665 665 ( 5 , 88445 ) ( 19 , 23275 ) ( 25 , 17689 ) ( 35 , 12635 ) ( 49 , 9025 ) ( 95 , 4655 ) ( 133 , 3325 ) ( 175 , 2527 ) ( 245 , 1805 ) ( 361 , 1225 ) ( 475 , 931 ) 221112 44220 31584 11628 8832 6300 4488 2280 1596 1176 780 432 228 221113 44225 M 31591 8857 P 6335 1 1 M 1729 35 133 M 7 M P M 19 95 M 1351 703 M P 2375 1 7 M 4537 793 5 M 11647 1025 P 1 4 19 5 9 13 204 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 4094 666 ( 2 , 221778 ) 4096 666 ( 18 , 24642 ) 4095 4097 4098 4099 4100 666 666 666 666 666 110888 ( 6 , 73926 ) 36960 ( 54 , 8214 ) 4080 ( 74 , 5994 ) ( 162 , 2738 ) ( 222 , 1998 ) 12312 2960 1288 888 110890 36966 12330 4134 M 6 M M 3034 M 1450 74 M 1110 18 6 M 2 2 M 222 0 7 7 _____________________________________________________________________________ 4101 667 ( 1 , 444889 ) 4103 667 ( 29 , 15341 ) 4102 4104 667 667 ( 23 , 19343 ) ( 529 , 841 ) 222444 9660 7656 156 222445 9683 7685 685 P M M P 2 23 1 1 29 2 4 _____________________________________________________________________________ 4105 668 ( 2 , 223112 ) 4107 668 ( 8 , 55778 ) 4106 4108 668 668 ( 4 , 111556 ) ( 334 , 1336 ) 111555 55776 27885 501 111557 55780 27893 835 M M P P 1 2 4 167 2 1 4 _____________________________________________________________________________ 4109 669 ( 1 , 447561 ) 4111 669 ( 9 , 49729 ) 4110 4112 669 669 ( 3 , 149187 ) ( 223 , 2007 ) 223780 74592 24860 892 223781 74595 24869 1115 M M P P 1 2 3 223 2 1 4 205 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 4113 670 ( 2 , 224450 ) 4115 670 ( 50 , 8978 ) 4114 4116 670 670 ( 10 , 44890 ) ( 134 , 3350 ) 112224 22440 4464 1608 112226 22450 4514 1742 M M M M 10 2 0 134 4 2 4 _____________________________________________________________________________ 4117 671 ( 1 , 450241 ) 4119 671 ( 61 , 7381 ) 4118 4120 671 671 ( 11 , 40931 ) ( 121 , 3721 ) 225120 20460 3660 1800 225121 20471 3721 1921 M M P P 1 61 2 11 1 2 4 _____________________________________________________________________________ 4121 672 ( 2 , 225792 ) 4123 672 ( 6 , 75264 ) 4122 4124 4125 4126 4127 4128 4129 4130 4131 4132 4133 4134 672 672 672 672 672 672 672 672 672 672 672 672 ( 4 , 112896 ) ( 8 , 56448 ) ( 12 , 37632 ) ( 14 , 32256 ) ( 16 , 28224 ) ( 18 , 25088 ) ( 24 , 18816 ) ( 28 , 16128 ) ( 32 , 14112 ) ( 36 , 12544 ) ( 42 , 10752 ) ( 48 , 9408 ) 112895 56446 37629 28220 18810 16121 14104 12535 112897 56450 M 37635 M 28228 M 18822 M 16135 9420 M 7040 7072 M 6254 5355 4680 8078 6290 5397 4728 3 4 6 7 M 9396 8050 2 M 14120 12553 P M M M M P 8 1 12 14 32 2 21 24 1 206 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4135 672 ( 56 , 8064 ) 4004 4060 M 28 4137 672 ( 72 , 6272 ) 3100 3172 M 4 4136 4138 4139 4140 4141 4142 4143 4144 4145 4146 4147 4148 4149 4150 4151 4152 4153 4154 4155 4156 4157 4158 4159 4160 672 672 672 672 672 672 672 672 672 672 672 672 672 672 672 672 672 672 672 672 672 672 672 672 ( 64 , 7056 ) ( 84 , 5376 ) ( 96 , 4704 ) ( 98 , 4608 ) ( 112 , 4032 ) ( 126 , 3584 ) ( 128 , 3528 ) ( 144 , 3136 ) ( 168 , 2688 ) ( 192 , 2352 ) ( 196 , 2304 ) ( 224 , 2016 ) ( 252 , 1792 ) ( 256 , 1764 ) ( 288 , 1568 ) ( 294 , 1536 ) ( 336 , 1344 ) ( 384 , 1176 ) ( 392 , 1152 ) ( 448 , 1008 ) 3496 2646 2304 2255 1960 1729 1700 1496 1260 1080 1054 3560 M 2730 M 2400 2353 96 P 2072 1 M 1855 M 1828 1640 4 M 1428 8 M 1272 84 M 1250 56 7 M 24 M 2 896 1120 M 224 754 1010 M 2 770 640 621 504 396 380 280 1022 M M 32 840 M 168 915 M 780 772 728 104 680 M 678 4 M ( 576 , 784 ) 90 12 M M 697 3 M 700 185 14 928 196 ( 588 , 768 ) 42 M ( 504 , 896 ) ( 512 , 882 ) 8 56 28 P 1 M 6 4 8 36 40 207 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 4161 673 ( 1 , 452929 ) 226464 226465 P 1 1 0 1 _____________________________________________________________________________ 4162 674 ( 2 , 227138 ) 113568 113570 M 0 2 1 1 _____________________________________________________________________________ 4163 675 ( 1 , 455625 ) 4165 675 ( 5 , 91125 ) 4164 4166 4167 4168 4169 4170 4171 4172 4173 4174 4175 4176 4177 4178 4179 675 675 675 675 675 675 675 675 675 675 675 675 675 675 675 ( 3 , 151875 ) ( 9 , 50625 ) ( 15 , 30375 ) ( 25 , 18225 ) ( 27 , 16875 ) ( 45 , 10125 ) ( 75 , 6075 ) ( 81 , 5625 ) ( 125 , 3645 ) ( 135 , 3375 ) ( 225 , 2025 ) ( 243 , 1875 ) ( 375 , 1215 ) ( 405 , 1125 ) ( 625 , 729 ) 227812 75936 45560 227813 75939 M 45565 25308 9100 9125 M 5040 5085 M 8451 3000 2772 1125 420 795 816 360 52 677 27 45 75 9 5 M 135 M 1059 765 25 M 1755 900 15 M 1885 1620 M M 2853 1760 9 M 3075 225 M 3 M P 1 5 M 15195 8424 3 M 25317 15180 P 15 M 2 1 45 15 17 _____________________________________________________________________________ 4180 676 ( 2 , 228488 ) 114243 114245 P 1 208 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4181 676 ( 4 , 114244 ) 4183 676 ( 26 , 17576 ) 4182 4184 4185 4186 676 676 676 676 57120 57124 ( 8 , 57122 ) 28557 ( 52 , 8788 ) 4368 4420 ( 338 , 1352 ) 507 845 ( 104 , 4394 ) 8775 2145 M 28565 8801 2249 P 1 M 13 M M 4 52 M 13 2 169 5 7 _____________________________________________________________________________ 4187 677 ( 1 , 458329 ) 229164 229165 P 1 1 0 1 _____________________________________________________________________________ 4188 678 ( 2 , 229842 ) 4190 678 ( 18 , 25538 ) 4189 4191 678 678 114920 ( 6 , 76614 ) 38304 ( 226 , 2034 ) 904 12760 114922 38310 12778 1130 M M M M 6 2 2 0 226 4 4 _____________________________________________________________________________ 4192 679 ( 1 , 461041 ) 4194 679 ( 49 , 9409 ) 4193 4195 679 679 ( 7 , 65863 ) ( 97 , 4753 ) 230520 32928 4680 2328 230521 32935 4729 2425 P M M P 1 2 7 97 2 1 4 _____________________________________________________________________________ 4196 680 ( 2 , 231200 ) 4198 680 ( 8 , 57800 ) 4197 4199 680 680 ( 4 , 115600 ) ( 10 , 46240 ) 115599 57798 28896 23115 115601 57802 28904 23125 M M M P 2 8 5 1 209 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4200 680 ( 16 , 28900 ) 14442 4202 680 ( 32 , 14450 ) 7209 7241 P 5760 5800 M 4201 4203 4204 4205 4206 4207 4208 4209 4210 4211 4212 4213 4214 4215 4216 4217 680 680 680 680 680 680 680 680 680 680 680 680 680 680 680 680 ( 20 , 23120 ) ( 34 , 13600 ) ( 40 , 11560 ) 11550 6783 14458 M 11570 6817 4599 4649 P ( 80 , 5780 ) 2850 2930 M ( 100 , 4624 ) ( 136 , 3400 ) ( 160 , 2890 ) ( 170 , 2720 ) ( 200 , 2312 ) ( 272 , 1700 ) ( 340 , 1360 ) ( 400 , 1156 ) ( 544 , 850 ) ( 578 , 800 ) 3366 2262 1632 1365 1275 1056 3434 2362 1768 M 378 778 M 111 850 689 10 2 136 5 M 1256 40 34 M 1445 697 1 M 1525 10 17 M 986 153 1 M 714 510 M M ( 50 , 9248 ) ( 68 , 6800 ) 2 85 M 8 34 M 170 2 M 17 P 4 1 18 22 _____________________________________________________________________________ 4218 681 ( 1 , 463761 ) 4220 681 ( 9 , 51529 ) 4219 4221 681 681 ( 3 , 154587 ) ( 227 , 2043 ) 231880 77292 25760 908 231881 77295 25769 1135 M M P P 1 2 3 227 2 1 4 _____________________________________________________________________________ 4222 682 ( 2 , 232562 ) 116280 116282 M 2 210 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4223 682 ( 22 , 21142 ) 4225 682 ( 242 , 1922 ) 4224 682 ( 62 , 7502 ) 10560 3720 840 10582 3782 1082 M M M 62 22 2 0 4 4 _____________________________________________________________________________ 4226 683 ( 1 , 466489 ) 233244 233245 P 1 1 0 1 _____________________________________________________________________________ 4227 684 ( 2 , 233928 ) 4229 684 ( 6 , 77976 ) 4228 4230 4231 4232 4233 4234 4235 4236 4237 4238 4239 4240 4241 4242 4243 4244 4245 684 684 684 684 684 684 684 684 684 684 684 684 684 684 684 684 684 ( 4 , 116964 ) ( 8 , 58482 ) ( 12 , 38988 ) ( 18 , 25992 ) ( 24 , 19494 ) ( 36 , 12996 ) ( 38 , 12312 ) 116963 58480 38985 29237 19488 12987 116965 58484 M 38991 4 M 29245 19500 1 M 13005 9759 M 6137 6175 M 6516 M 3 M 4359 M 3 ( 76 , 6156 ) 3040 3116 M 76 ( 108 , 4332 ) ( 114 , 4104 ) ( 152 , 3078 ) ( 162 , 2888 ) ( 216 , 2166 ) ( 228 , 2052 ) ( 324 , 1444 ) 2112 1995 1463 1363 3285 2220 1525 1191 560 884 1140 9 M 12 M 1615 975 912 M 2109 57 M 19 P 1 M M M 9 19 4305 3213 12 36 ( 54 , 8664 ) ( 72 , 6498 ) 1 3 P 9735 6480 P 3 4 228 211 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4246 684 ( 342 , 1368 ) 4248 684 ( 648 , 722 ) 4247 684 ( 456 , 1026 ) 513 285 37 855 741 685 M P 171 M 4 1 57 18 22 _____________________________________________________________________________ 4249 685 ( 1 , 469225 ) 4251 685 ( 25 , 18769 ) 4250 4252 685 685 234612 ( 5 , 93845 ) 46920 ( 137 , 3425 ) 1644 9372 234613 46925 9397 M P P 1781 M 1 2 5 1 137 2 4 _____________________________________________________________________________ 4253 686 ( 2 , 235298 ) 4255 686 ( 98 , 4802 ) 4254 686 ( 14 , 33614 ) 117648 16800 2352 117650 16814 2450 M M M 0 98 14 3 2 3 _____________________________________________________________________________ 4256 687 ( 1 , 471969 ) 4258 687 ( 9 , 52441 ) 4257 4259 687 687 ( 3 , 157323 ) ( 229 , 2061 ) 235984 78660 26216 916 235985 78663 26225 1145 M M P P 1 2 3 1 229 2 4 _____________________________________________________________________________ 4260 688 ( 2 , 236672 ) 4262 688 ( 8 , 59168 ) 29580 29588 ( 32 , 14792 ) 7380 7412 4261 4263 4264 688 688 688 ( 4 , 118336 ) ( 16 , 29584 ) 118335 59166 14784 118337 59170 14800 M M M M P 2 4 4 1 16 212 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4265 688 ( 64 , 7396 ) 4267 688 ( 128 , 3698 ) 4266 4268 4269 688 688 688 ( 86 , 5504 ) ( 172 , 2752 ) ( 344 , 1376 ) 3666 2709 1785 1290 516 3730 2795 1913 1462 860 M 2 P 1 M M 43 M 86 2 172 8 10 _____________________________________________________________________________ 4270 689 ( 1 , 474721 ) 4272 689 ( 53 , 8957 ) 4271 4273 689 689 ( 13 , 36517 ) ( 169 , 2809 ) 237360 18252 4452 1320 237361 18265 4505 1489 M M P P 1 53 13 1 2 2 4 _____________________________________________________________________________ 4274 690 ( 2 , 238050 ) 4276 690 ( 10 , 47610 ) 4275 4277 4278 4279 4280 4281 4282 4283 4284 4285 4286 690 690 690 690 690 690 690 690 690 690 690 ( 6 , 79350 ) ( 18 , 26450 ) ( 30 , 15870 ) ( 46 , 10350 ) ( 50 , 9522 ) ( 90 , 5290 ) ( 138 , 3450 ) ( 150 , 3174 ) ( 230 , 2070 ) ( 414 , 1150 ) ( 450 , 1058 ) 119024 39672 23800 13216 7920 5152 4736 2600 1656 1512 119026 39678 23810 7950 5198 4786 2690 1794 1662 1150 304 754 782 6 M 13234 920 368 M M M 10 M 2 30 M 46 M 2 M 10 M 138 M 6 M 230 M M 2 46 0 2 13 13 213 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 4287 691 ( 1 , 477481 ) 238740 238741 P 1 1 0 1 _____________________________________________________________________________ 4288 692 ( 2 , 239432 ) 4290 692 ( 8 , 59858 ) 4289 4291 692 692 ( 4 , 119716 ) ( 346 , 1384 ) 119715 59856 29925 519 119717 59860 29933 865 M P P M 1 2 4 1 173 2 4 _____________________________________________________________________________ 4292 693 ( 1 , 480249 ) 4294 693 ( 7 , 68607 ) 4293 4295 4296 4297 4298 4299 4300 4301 4302 4303 4304 4305 4306 4307 4308 693 693 693 693 693 693 693 693 693 693 693 693 693 693 693 ( 3 , 160083 ) ( 9 , 53361 ) ( 11 , 43659 ) ( 21 , 22869 ) ( 27 , 17787 ) ( 33 , 14553 ) 240124 80040 34300 26676 21824 11424 8880 7260 240125 80043 M 34307 7293 M ( 49 , 9801 ) 4876 4925 P ( 77 , 6237 ) 3080 3157 M ( 63 , 7623 ) ( 81 , 5929 ) ( 99 , 4851 ) ( 121 , 3969 ) ( 147 , 3267 ) ( 189 , 2541 ) ( 231 , 2079 ) 3780 2924 2376 1924 1560 1176 924 3843 3005 2475 2045 1707 1365 1155 9 M M M P M P M M M 1 7 M 21835 8907 3 M 26685 11445 P 11 M 3 1 21 33 63 77 1 99 1 3 21 231 214 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4309 693 ( 297 , 1617 ) 660 957 M 33 4311 693 ( 441 , 1089 ) 324 765 M 9 4310 4312 4313 693 693 693 ( 363 , 1323 ) ( 539 , 891 ) ( 567 , 847 ) 480 176 140 843 715 707 M 3 M 11 M 4 7 18 22 _____________________________________________________________________________ 4314 694 ( 2 , 240818 ) 120408 120410 M 0 2 1 1 _____________________________________________________________________________ 4315 695 ( 1 , 483025 ) 4317 695 ( 25 , 19321 ) 4316 4318 695 695 241512 ( 5 , 96605 ) 48300 ( 139 , 3475 ) 1668 9648 241513 48305 9673 1807 M P P M 1 2 5 1 139 2 4 _____________________________________________________________________________ 4319 696 ( 2 , 242208 ) 4321 696 ( 6 , 80736 ) 4320 4322 4323 4324 4325 4326 4327 4328 4329 696 696 696 696 696 696 696 696 696 ( 4 , 121104 ) ( 8 , 60552 ) ( 12 , 40368 ) ( 16 , 30276 ) ( 18 , 26912 ) ( 24 , 20184 ) ( 32 , 15138 ) ( 36 , 13456 ) ( 48 , 10092 ) 121103 60550 40365 30272 20178 15130 13447 10080 121105 60554 40371 30280 20190 M 6 M 2 P 7585 P 5022 5070 M 6746 8 M 13465 M M 1 3 M 7553 6710 2 M 15146 10104 P 1 1 2 6 24 215 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4330 696 ( 58 , 8352 ) 4147 4205 M 29 4332 696 ( 96 , 5046 ) 2475 2571 M 3 4331 4333 4334 4335 4336 4337 4338 4339 4340 696 696 696 696 696 696 696 696 696 ( 72 , 6728 ) ( 116 , 4176 ) ( 144 , 3364 ) ( 174 , 2784 ) ( 232 , 2088 ) ( 288 , 1682 ) ( 348 , 1392 ) ( 464 , 1044 ) ( 522 , 928 ) 3328 2030 1610 1305 3400 2146 522 870 290 203 2 M 87 M 985 P 754 M 725 58 M 1479 1160 8 M 1754 928 697 M 1 M 232 174 58 M 4 29 18 22 _____________________________________________________________________________ 4341 697 ( 1 , 485809 ) 4343 697 ( 41 , 11849 ) 4342 4344 697 697 242904 ( 17 , 28577 ) 14280 ( 289 , 1681 ) 696 5904 242905 14297 5945 985 P M M P 2 1 17 1 41 2 4 _____________________________________________________________________________ 4345 698 ( 2 , 243602 ) 121800 121802 M 0 2 1 1 _____________________________________________________________________________ 4346 699 ( 1 , 488601 ) 4348 699 ( 9 , 54289 ) 4347 4349 699 699 ( 3 , 162867 ) ( 233 , 2097 ) 244300 81432 27140 932 244301 81435 27149 1165 M M P P 1 2 3 233 2 1 4 216 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 4350 700 ( 2 , 245000 ) 4352 700 ( 8 , 61250 ) 4351 4353 4354 4355 4356 4357 4358 4359 4360 4361 4362 4363 4364 4365 4366 4367 4368 4369 4370 4371 700 700 700 700 700 700 700 700 700 700 700 700 700 700 700 700 700 700 700 700 ( 4 , 122500 ) ( 10 , 49000 ) ( 14 , 35000 ) ( 20 , 24500 ) ( 28 , 17500 ) ( 40 , 12250 ) 122499 61248 30621 24495 17493 12240 8736 6105 122501 61252 M 30629 P P 24505 1 M 17507 M 12260 8764 M 6145 M 20 28 M 5 4875 4925 M 25 ( 70 , 7000 ) 3465 3535 M 35 ( 98 , 5000 ) ( 100 , 4900 ) ( 140 , 3500 ) ( 196 , 2500 ) ( 200 , 2450 ) ( 250 , 1960 ) ( 280 , 1750 ) ( 350 , 1400 ) ( 392 , 1250 ) ( 490 , 1000 ) ( 500 , 980 ) 4347 2451 2400 1680 1152 1125 4403 M 2549 1820 M 1348 525 875 M 745 M 429 255 240 821 740 4 M 1105 25 M 5 M 35 175 P M 100 140 M 1325 1015 1 M 855 735 7 P 2500 5 7 ( 50 , 9800 ) ( 56 , 8750 ) 4 1 1 5 4 20 18 22 _____________________________________________________________________________ 4372 701 ( 1 , 491401 ) 245700 245701 P 1 0 1 1 217 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 4373 702 ( 2 , 246402 ) 4375 702 ( 18 , 27378 ) 4374 4376 4377 4378 4379 4380 4381 4382 702 702 702 702 702 702 702 702 123200 123202 ( 6 , 82134 ) 41064 41070 ( 26 , 18954 ) 9464 9490 ( 54 , 9126 ) ( 78 , 6318 ) ( 162 , 3042 ) ( 234 , 2106 ) ( 338 , 1458 ) ( 486 , 1014 ) 13680 4536 3120 1440 13698 4590 3198 1602 936 1170 264 750 560 898 M M M 2 6 M 18 26 M 54 M 78 M 18 M M 2 M 0 6 234 10 10 _____________________________________________________________________________ 4383 703 ( 1 , 494209 ) 4385 703 ( 37 , 13357 ) 4384 4386 703 703 247104 ( 19 , 26011 ) 12996 ( 361 , 1369 ) 504 6660 247105 13015 6697 865 P M M P 2 1 19 1 37 2 4 _____________________________________________________________________________ 4387 704 ( 2 , 247808 ) 4389 704 ( 8 , 61952 ) 4388 4390 4391 4392 4393 4394 704 704 704 704 704 704 ( 4 , 123904 ) ( 16 , 30976 ) ( 22 , 22528 ) ( 32 , 15488 ) ( 44 , 11264 ) ( 64 , 7744 ) 123903 61950 30972 15480 11253 7728 5610 3840 123905 61954 M 30980 M 15496 11275 7760 5654 3904 M M M M M P 2 1 4 8 11 16 22 64 218 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4395 704 ( 88 , 5632 ) 4397 704 ( 176 , 2816 ) 4396 4398 4399 4400 4401 4402 704 704 704 704 704 704 ( 128 , 3872 ) ( 242 , 2048 ) ( 256 , 1936 ) ( 352 , 1408 ) ( 484 , 1024 ) ( 512 , 968 ) 2772 1872 1320 2860 2000 1145 528 880 270 228 740 16 M P 1096 754 44 M 1496 903 840 M 1 M 88 8 M 176 M 2 M 2 4 14 16 _____________________________________________________________________________ 4403 705 ( 1 , 497025 ) 4405 705 ( 5 , 99405 ) 4404 4406 4407 4408 4409 4410 4411 4412 4413 4414 4415 705 705 705 705 705 705 705 705 705 705 705 ( 3 , 165675 ) ( 9 , 55225 ) ( 15 , 33135 ) ( 25 , 19881 ) ( 45 , 11045 ) ( 47 , 10575 ) 248512 82836 49700 27608 16560 248513 82839 M 49705 27617 16575 9953 P 5264 5311 M 5545 3351 M ( 225 , 2209 ) 992 1217 P 376 799 ( 235 , 2115 ) ( 423 , 1175 ) 1692 940 1833 1175 1 M 1 M 3276 15 5 47 3 M 1 M M 1 5 P ( 75 , 6627 ) ( 141 , 3525 ) 3 M 9928 5500 P 141 235 4 47 9 13 _____________________________________________________________________________ 4416 706 ( 2 , 249218 ) 124608 124610 M 0 1 2 1 219 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 4417 707 ( 1 , 499849 ) 4419 707 ( 49 , 10201 ) 4418 4420 707 707 249924 ( 7 , 71407 ) 35700 ( 101 , 4949 ) 2424 5076 249925 35707 5125 M P P 2525 M 1 2 7 1 101 2 4 _____________________________________________________________________________ 4421 708 ( 2 , 250632 ) 4423 708 ( 6 , 83544 ) 4422 4424 4425 4426 4427 4428 4429 4430 4431 4432 4433 708 708 708 708 708 708 708 708 708 708 708 ( 4 , 125316 ) ( 8 , 62658 ) ( 12 , 41772 ) ( 18 , 27848 ) ( 24 , 20886 ) ( 36 , 13924 ) 125315 62656 41769 31325 20880 13915 10431 6944 125317 62660 M 41775 20892 P 10455 M 3445 3517 P ( 236 , 2124 ) 944 1180 M 295 767 ( 354 , 1416 ) ( 472 , 1062 ) 2065 531 2183 885 1 M 13933 1 3 P ( 72 , 6962 ) ( 118 , 4248 ) 4 M 31333 6980 P 12 1 M 1 M 4 3 59 236 M 177 M 4 59 9 13 _____________________________________________________________________________ 4434 709 ( 1 , 502681 ) 251340 251341 P 1 0 1 1 _____________________________________________________________________________ 4435 4436 710 710 ( 2 , 252050 ) ( 10 , 50410 ) 126024 25200 126026 25210 M M 10 2 220 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4437 4438 710 710 ( 50 , 10082 ) ( 142 , 3550 ) 5016 1704 5066 M 1846 M 2 142 0 4 4 _____________________________________________________________________________ 4439 711 ( 1 , 505521 ) 4441 711 ( 9 , 56169 ) 28080 ( 79 , 6399 ) 3160 3239 M ( 237 , 2133 ) 948 1185 M 4440 4442 4443 4444 4445 711 711 711 711 711 ( 3 , 168507 ) ( 27 , 18723 ) ( 81 , 6241 ) 252760 84252 9348 3080 252761 84255 28089 M P 3 M 9375 9 M 3161 1 3 79 P 1 237 2 5 7 _____________________________________________________________________________ 4446 712 ( 2 , 253472 ) 4448 712 ( 8 , 63368 ) 31680 31688 ( 32 , 15842 ) 7905 7937 4447 4449 4450 4451 4452 712 712 712 712 712 ( 4 , 126736 ) ( 16 , 31684 ) ( 178 , 2848 ) ( 356 , 1424 ) 126735 63366 15834 1335 534 126737 63370 890 2 M 15850 1513 M P P M 1 8 M 1 M 2 89 178 2 5 7 _____________________________________________________________________________ 4453 713 ( 1 , 508369 ) 4455 713 ( 31 , 16399 ) 4454 4456 713 713 ( 23 , 22103 ) ( 529 , 961 ) 254184 11040 8184 216 254185 11063 8215 745 P M M P 2 1 23 1 31 2 4 221 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 4457 714 ( 2 , 254898 ) 4459 714 ( 14 , 36414 ) 4458 4460 4461 4462 4463 4464 4465 4466 4467 4468 4469 714 714 714 714 714 714 714 714 714 714 714 ( 6 , 84966 ) ( 18 , 28322 ) ( 34 , 14994 ) ( 42 , 12138 ) ( 98 , 5202 ) ( 102 , 4998 ) ( 126 , 4046 ) ( 238 , 2142 ) ( 294 , 1734 ) ( 306 , 1666 ) ( 578 , 882 ) 127448 42480 18200 14152 7480 6048 2552 2448 1960 127450 42486 18214 7514 6090 34 42 2 102 M 14 M 1014 730 2 M 2086 986 M M 2550 680 14 M 2650 1190 152 M 2 6 M 14170 952 720 M M 238 M 6 M 34 M 0 2 13 13 _____________________________________________________________________________ 4470 715 ( 1 , 511225 ) 255612 4472 715 ( 11 , 46475 ) 23232 23243 M ( 25 , 20449 ) 10212 10237 P 4471 4473 4474 4475 4476 4477 4478 4479 4480 715 715 715 715 715 715 715 715 715 ( 5 , 102245 ) ( 13 , 39325 ) ( 55 , 9295 ) ( 65 , 7865 ) ( 121 , 4225 ) ( 143 , 3575 ) ( 169 , 3025 ) ( 275 , 1859 ) 51120 19656 4620 3900 2052 1716 1428 792 255613 51125 M 19669 4675 3965 2173 1859 1597 1067 P 5 11 M M M P M P M 1 13 55 1 65 1 143 1 11 222 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4481 4482 715 715 ( 325 , 1573 ) ( 605 , 845 ) 624 120 949 725 M M 13 4 5 9 13 _____________________________________________________________________________ 4483 716 ( 2 , 256328 ) 4485 716 ( 8 , 64082 ) 4484 4486 716 716 ( 4 , 128164 ) ( 358 , 1432 ) 128163 64080 32037 537 128165 64084 32045 895 M M P P 1 2 4 179 2 1 4 _____________________________________________________________________________ 4487 717 ( 1 , 514089 ) 4489 717 ( 9 , 57121 ) 4488 4490 717 717 ( 3 , 171363 ) ( 239 , 2151 ) 257044 85680 28556 956 257045 85683 28565 1195 M M P P 1 2 3 239 2 1 4 _____________________________________________________________________________ 4491 718 ( 2 , 257762 ) 128880 128882 M 0 2 1 1 _____________________________________________________________________________ 4492 719 ( 1 , 516961 ) 258480 258481 P 1 1 0 1 _____________________________________________________________________________ 4493 720 ( 2 , 259200 ) 4495 720 ( 6 , 86400 ) 4494 4496 4497 720 720 720 ( 4 , 129600 ) ( 8 , 64800 ) ( 10 , 51840 ) 129599 64798 43197 32396 25915 129601 64802 43203 32404 25925 M M M M P 2 3 4 5 1 223 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4498 720 ( 12 , 43200 ) 21594 21606 M 6 4500 720 ( 18 , 28800 ) 14391 14409 M 9 4499 4501 4502 4503 4504 4505 4506 4507 4508 4509 4510 4511 4512 4513 4514 4515 4516 4517 4518 4519 4520 4521 4522 4523 4524 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 ( 16 , 32400 ) ( 20 , 25920 ) ( 24 , 21600 ) ( 30 , 17280 ) ( 32 , 16200 ) ( 36 , 14400 ) ( 40 , 12960 ) ( 48 , 10800 ) ( 50 , 10368 ) 16192 12950 10788 16208 M 12970 10812 M 8625 8655 M 7182 7218 M 8084 6460 5376 5159 8116 6500 5424 5209 16 M M M P M 10 12 15 4 18 20 48 1 ( 54 , 9600 ) 4773 4827 M 3 ( 64 , 8100 ) 4018 4082 M 2 ( 60 , 8640 ) ( 72 , 7200 ) ( 80 , 6480 ) ( 90 , 5760 ) ( 96 , 5400 ) ( 100 , 5184 ) ( 108 , 4800 ) ( 120 , 4320 ) ( 128 , 4050 ) ( 144 , 3600 ) ( 150 , 3456 ) ( 160 , 3240 ) ( 162 , 3200 ) ( 180 , 2880 ) 4290 3564 3200 2835 2652 2542 2346 2100 1961 1728 1653 1540 1519 1350 4350 3636 3280 2925 2748 2642 2454 2220 2089 1872 1803 1700 1681 1530 M M M M M M M M P M M M P M 30 36 80 45 12 2 6 60 1 144 3 20 1 90 224 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4525 720 ( 192 , 2700 ) 1254 1446 M 6 4527 720 ( 216 , 2400 ) 1092 1308 M 12 4526 4528 4529 4530 4531 4532 4533 4534 4535 4536 4537 4538 4539 4540 4541 4542 4543 4544 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 720 ( 200 , 2592 ) ( 240 , 2160 ) ( 270 , 1920 ) ( 288 , 1800 ) ( 300 , 1728 ) ( 320 , 1620 ) ( 324 , 1600 ) ( 360 , 1440 ) ( 384 , 1350 ) ( 400 , 1296 ) ( 432 , 1200 ) ( 450 , 1152 ) ( 480 , 1080 ) 1196 1396 M 4 960 1200 M 240 756 1044 M 36 825 1095 714 M 1014 650 638 M 483 M 10 900 M 180 M 867 448 16 M 801 300 3 M 816 351 2 M 848 384 6 970 962 540 15 48 M 780 9 M 60 ( 540 , 960 ) 210 750 M 30 ( 600 , 864 ) 132 732 M 12 ( 576 , 900 ) ( 640 , 810 ) ( 648 , 800 ) 162 85 76 738 M 725 18 M 724 5 M 4 4 48 52 _____________________________________________________________________________ 4545 721 ( 1 , 519841 ) 4547 721 ( 49 , 10609 ) 4546 4548 721 721 259920 ( 7 , 74263 ) 37128 ( 103 , 5047 ) 2472 5280 259921 37135 5329 2575 M P P M 1 2 7 103 2 1 4 225 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 4549 4550 722 722 ( 2 , 260642 ) ( 38 , 13718 ) 130320 6840 130322 6878 M M 2 38 0 2 2 _____________________________________________________________________________ 4551 723 ( 1 , 522729 ) 4553 723 ( 9 , 58081 ) 4552 4554 723 723 ( 3 , 174243 ) ( 241 , 2169 ) 261364 87120 29036 964 261365 87123 29045 1205 M M P P 1 3 1 241 2 2 4 _____________________________________________________________________________ 4555 724 ( 2 , 262088 ) 4557 724 ( 8 , 65522 ) 4556 4558 724 724 ( 4 , 131044 ) ( 362 , 1448 ) 131043 65520 32757 543 131045 65524 32765 905 M M P P 1 4 1 181 2 2 4 _____________________________________________________________________________ 4559 725 ( 1 , 525625 ) 262812 4561 725 ( 25 , 21025 ) 10500 ( 125 , 4205 ) 2040 4560 4562 4563 4564 4565 725 725 725 725 725 ( 5 , 105125 ) ( 29 , 18125 ) ( 145 , 3625 ) ( 625 , 841 ) 52560 9048 1740 108 262813 52565 10525 9077 2165 1885 733 M M P 5 M 25 29 M P 1 5 M 2 1 145 5 7 _____________________________________________________________________________ 4566 726 ( 2 , 263538 ) 131768 131770 M 2 226 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4567 726 ( 6 , 87846 ) 4569 726 ( 22 , 23958 ) 4568 4570 4571 4572 726 726 726 726 ( 18 , 29282 ) 43920 14632 11968 43926 M 14650 11990 M ( 66 , 7986 ) 3960 4026 M ( 242 , 2178 ) 968 1210 M ( 198 , 2662 ) 1232 1430 6 2 M 66 M 22 22 0 242 7 7 _____________________________________________________________________________ 4573 727 ( 1 , 528529 ) 264264 264265 P 1 1 0 1 _____________________________________________________________________________ 4574 728 ( 2 , 264992 ) 4576 728 ( 8 , 66248 ) 4575 4577 4578 4579 4580 4581 4582 4583 4584 4585 4586 4587 4588 4589 728 728 728 728 728 728 728 728 728 728 728 728 728 728 ( 4 , 132496 ) ( 14 , 37856 ) ( 16 , 33124 ) ( 26 , 20384 ) ( 28 , 18928 ) ( 32 , 16562 ) ( 52 , 10192 ) ( 56 , 9464 ) ( 98 , 5408 ) ( 104 , 5096 ) ( 112 , 4732 ) ( 182 , 2912 ) ( 196 , 2704 ) ( 208 , 2548 ) 132495 66246 33120 18921 16554 10179 132497 66250 M 33128 16570 M 5070 5122 M 4704 2655 2496 2310 1365 1254 1170 8297 4760 2753 2600 2422 1547 1450 1378 7 M 9478 P M P M M M M M 1 8 M 9450 8265 2 M 18935 10205 P 2 M 13 14 1 26 56 1 104 14 91 2 26 227 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4590 728 ( 224 , 2366 ) 1071 4592 728 ( 364 , 1456 ) 546 4591 4593 4594 4595 728 728 728 728 ( 338 , 1568 ) ( 392 , 1352 ) ( 416 , 1274 ) ( 676 , 784 ) 1295 615 953 P 480 872 M 429 54 910 845 730 M 1 M M 7 182 8 M 4 2 13 18 22 _____________________________________________________________________________ 4596 729 ( 1 , 531441 ) 4598 729 ( 9 , 59049 ) 29520 ( 81 , 6561 ) 3240 4597 4599 4600 4601 729 729 729 729 ( 3 , 177147 ) ( 27 , 19683 ) ( 243 , 2187 ) 265720 88572 9828 972 265721 88575 29529 9855 3321 1215 M P 3 M 1 9 M 27 M 81 M 1 243 5 6 _____________________________________________________________________________ 4602 730 ( 2 , 266450 ) 4604 730 ( 50 , 10658 ) 4603 4605 730 730 133224 ( 10 , 53290 ) 26640 ( 146 , 3650 ) 1752 5304 133226 26650 5354 M 1898 M M M 2 0 10 146 4 2 4 _____________________________________________________________________________ 4606 731 ( 1 , 534361 ) 4608 731 ( 43 , 12427 ) 4607 4609 731 731 267180 ( 17 , 31433 ) 15708 ( 289 , 1849 ) 780 6192 267181 15725 6235 1069 M P M P 2 1 17 1 43 2 4 228 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 4610 732 ( 2 , 267912 ) 4612 732 ( 6 , 89304 ) 4611 4613 4614 4615 4616 4617 4618 4619 4620 4621 4622 732 732 732 732 732 732 732 732 732 732 732 ( 4 , 133956 ) ( 8 , 66978 ) ( 12 , 44652 ) ( 18 , 29768 ) ( 24 , 22326 ) ( 36 , 14884 ) 133955 66976 44649 33485 22320 14875 11151 7424 133957 66980 M 44655 22332 P 11175 M 3685 3757 P ( 244 , 2196 ) 976 1220 M 305 793 ( 366 , 1464 ) ( 488 , 1098 ) 2135 549 2257 915 1 M 14893 1 3 P ( 72 , 7442 ) ( 122 , 4392 ) 4 M 33493 7460 P 12 1 M 1 M 4 3 61 244 M 183 M 4 61 9 13 _____________________________________________________________________________ 4623 733 ( 1 , 537289 ) 268644 268645 P 1 1 0 1 _____________________________________________________________________________ 4624 734 ( 2 , 269378 ) 134688 134690 M 0 2 1 1 _____________________________________________________________________________ 4625 735 ( 1 , 540225 ) 270112 4627 735 ( 5 , 108045 ) 54020 4626 4628 4629 735 735 735 ( 3 , 180075 ) ( 7 , 77175 ) ( 9 , 60025 ) 90036 38584 30008 270113 90039 54025 38591 30017 M M M P P 3 5 7 1 1 229 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4630 735 ( 15 , 36015 ) 18000 18015 M 4632 735 ( 25 , 21609 ) 10792 10817 P 4631 4633 4634 4635 4636 4637 4638 4639 4640 4641 4642 4643 4644 4645 4646 735 735 735 735 735 735 735 735 735 735 735 735 735 735 735 ( 21 , 25725 ) ( 35 , 15435 ) ( 45 , 12005 ) ( 49 , 11025 ) ( 63 , 8575 ) ( 75 , 7203 ) ( 105 , 5145 ) ( 147 , 3675 ) ( 175 , 3087 ) ( 225 , 2401 ) ( 245 , 2205 ) ( 315 , 1715 ) ( 343 , 1575 ) ( 441 , 1225 ) ( 525 , 1029 ) 12852 12873 M 7700 7735 M 5488 5537 M 5980 4256 3564 2520 1764 1456 1088 6025 4319 3639 2625 21 1 35 M 5 49 M 7 M 3 M 1911 105 M 1631 1313 15 147 M 7 P 1 980 1225 616 959 M 7 777 M 21 700 392 252 1015 833 M 245 M M 35 49 4 18 22 _____________________________________________________________________________ 4647 736 ( 2 , 270848 ) 4649 736 ( 8 , 67712 ) 33852 33860 ( 32 , 16928 ) 8448 8480 4648 4650 4651 4652 4653 4654 736 736 736 736 736 736 ( 4 , 135424 ) ( 16 , 33856 ) ( 46 , 11776 ) ( 64 , 8464 ) ( 92 , 5888 ) 135423 67710 16920 5865 4200 2898 135425 67714 16936 5911 4264 2990 M P 2 M M M M M M 4 8 32 23 8 46 1 230 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4655 736 ( 128 , 4232 ) 2052 4657 736 ( 256 , 2116 ) 930 1186 273 785 4656 4658 4659 736 736 736 ( 184 , 2944 ) ( 368 , 1472 ) ( 512 , 1058 ) 1380 552 2180 1564 920 M 4 M 92 M 2 M 184 P 2 1 11 13 _____________________________________________________________________________ 4660 737 ( 1 , 543169 ) 4662 737 ( 67 , 8107 ) 4661 4663 737 737 ( 11 , 49379 ) ( 121 , 4489 ) 271584 24684 4020 2184 271585 24695 4087 2305 M M P P 1 67 2 11 1 2 4 _____________________________________________________________________________ 4664 738 ( 2 , 272322 ) 4666 738 ( 18 , 30258 ) 4665 4667 4668 4669 4670 738 738 738 738 738 136160 136162 ( 6 , 90774 ) 45384 45390 ( 54 , 10086 ) 5016 5070 15120 15138 M M M M 6 6 18 ( 82 , 6642 ) 3280 3362 M 82 ( 246 , 2214 ) 984 1230 M 246 ( 162 , 3362 ) 1600 1762 M 2 2 0 7 7 _____________________________________________________________________________ 4671 739 ( 1 , 546121 ) 273060 273061 P 1 1 0 1 _____________________________________________________________________________ 4672 4673 740 740 ( 2 , 273800 ) ( 4 , 136900 ) 136899 68448 136901 68452 M P 4 1 231 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4674 740 ( 8 , 68450 ) 4676 740 ( 20 , 27380 ) 4675 4677 4678 4679 4680 4681 4682 4683 4684 740 740 740 740 740 740 740 740 740 ( 10 , 54760 ) ( 40 , 13690 ) ( 50 , 10952 ) ( 74 , 7400 ) ( 100 , 5476 ) ( 148 , 3700 ) ( 200 , 2738 ) ( 296 , 1850 ) ( 370 , 1480 ) 34221 27375 13680 6825 5451 3663 2688 1776 1269 777 555 34229 P 27385 M 13700 6865 5501 3737 2788 M 1073 925 M 5 P 5 20 1 M 37 M 1924 1469 1 4 M 148 P 1 M 37 M 4 185 9 13 _____________________________________________________________________________ 4685 741 ( 1 , 549081 ) 4687 741 ( 9 , 61009 ) 4686 4688 4689 4690 4691 4692 4693 4694 4695 4696 4697 741 741 741 741 741 741 741 741 741 741 741 ( 3 , 183027 ) ( 13 , 42237 ) ( 19 , 28899 ) ( 39 , 14079 ) ( 57 , 9633 ) ( 117 , 4693 ) ( 169 , 3249 ) ( 171 , 3211 ) ( 247 , 2223 ) ( 361 , 1521 ) ( 507 , 1083 ) 274540 91512 30500 21112 14440 7020 4788 2288 1540 1520 274541 91515 30509 P 21125 7059 4845 2405 M 1235 288 795 941 M 13 39 57 M 13 P 1 M 19 M P M 3 1 19 M 1709 1691 1 M 14459 988 580 M P 1 4 3 247 9 13 232 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 4698 742 ( 2 , 275282 ) 4700 742 ( 98 , 5618 ) 4699 4701 742 742 ( 14 , 39326 ) ( 106 , 5194 ) 137640 19656 2760 2544 137642 19670 2858 2650 M M M M 14 2 0 106 4 2 4 _____________________________________________________________________________ 4702 743 ( 1 , 552049 ) 276024 276025 P 1 1 0 1 _____________________________________________________________________________ 4703 744 ( 2 , 276768 ) 4705 744 ( 6 , 92256 ) 4704 4706 4707 4708 4709 4710 4711 4712 4713 4714 4715 4716 4717 4718 4719 744 744 744 744 744 744 744 744 744 744 744 744 744 744 744 ( 4 , 138384 ) ( 8 , 69192 ) ( 12 , 46128 ) ( 16 , 34596 ) ( 18 , 30752 ) ( 24 , 23064 ) ( 32 , 17298 ) ( 36 , 15376 ) ( 48 , 11532 ) 138383 69190 46125 34592 23058 17290 15367 11520 138385 69194 M 46131 23070 6 M 15385 2 P 8665 P 5742 5790 M 7706 8 M 17306 M M 1 1 6 4433 4495 M 31 ( 96 , 5766 ) 2835 2931 M 3 ( 124 , 4464 ) ( 144 , 3844 ) ( 186 , 2976 ) 3808 2170 1850 1395 3880 2294 1994 1581 M M M M 24 2 ( 62 , 8928 ) ( 72 , 7688 ) 1 3 M 8633 7670 2 M 34600 11544 P 8 62 2 93 233 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4720 744 ( 248 , 2232 ) 992 1240 4722 744 ( 372 , 1488 ) 558 930 4721 4723 4724 744 744 744 ( 288 , 1922 ) ( 496 , 1116 ) ( 558 , 992 ) 817 310 217 M 1105 806 775 248 P 1 M 186 M 62 M 4 31 18 22 _____________________________________________________________________________ 4725 745 ( 1 , 555025 ) 277512 4727 745 ( 25 , 22201 ) 11088 4726 4728 745 745 ( 5 , 111005 ) ( 149 , 3725 ) 55500 1788 277513 55505 11113 1937 M M P 5 P 1 1 2 149 2 4 _____________________________________________________________________________ 4729 746 ( 2 , 278258 ) 139128 139130 M 0 2 1 1 _____________________________________________________________________________ 4730 747 ( 1 , 558009 ) 4732 747 ( 9 , 62001 ) 30996 ( 81 , 6889 ) 3404 3485 P ( 249 , 2241 ) 996 1245 M 4731 4733 4734 4735 4736 747 747 747 747 747 ( 3 , 186003 ) ( 27 , 20667 ) ( 83 , 6723 ) 279004 93000 10320 3320 279005 93003 31005 10347 3403 M P 3 M 1 9 M 1 M 3 83 2 249 5 7 _____________________________________________________________________________ 4737 4738 748 748 ( 2 , 279752 ) ( 4 , 139876 ) 139875 69936 139877 69940 M P 4 1 234 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4739 748 ( 8 , 69938 ) 34965 34973 4741 748 ( 34 , 16456 ) 8211 8245 4740 4742 4743 4744 4745 4746 4747 4748 4749 748 748 748 748 748 748 748 748 748 ( 22 , 25432 ) ( 44 , 12716 ) ( 68 , 8228 ) ( 88 , 6358 ) ( 136 , 4114 ) ( 242 , 2312 ) ( 374 , 1496 ) ( 484 , 1156 ) ( 578 , 968 ) 12705 6336 4080 3135 1989 1035 561 336 195 P 12727 M 6380 44 68 M 2125 11 M 1277 935 M 11 17 M 3223 773 M M 4148 820 1 17 P 1 187 M P 4 1 4 9 13 _____________________________________________________________________________ 4750 749 ( 1 , 561001 ) 4752 749 ( 49 , 11449 ) 4751 4753 749 749 280500 ( 7 , 80143 ) 40068 ( 107 , 5243 ) 2568 5700 280501 40075 5749 M P P 2675 M 1 2 7 1 107 2 4 _____________________________________________________________________________ 4754 750 ( 2 , 281250 ) 4756 750 ( 10 , 56250 ) 4755 4757 4758 4759 4760 4761 750 750 750 750 750 750 ( 6 , 93750 ) ( 18 , 31250 ) ( 30 , 18750 ) ( 50 , 11250 ) ( 90 , 6250 ) ( 150 , 3750 ) 140624 46872 28120 15616 9360 5600 3080 1800 140626 46878 M 28130 15634 9390 5650 3170 1950 M M M M M M M 6 10 2 30 50 10 150 2 235 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4762 4763 750 750 ( 250 , 2250 ) ( 450 , 1250 ) 1000 400 1250 850 M M 250 0 50 10 10 _____________________________________________________________________________ 4764 751 ( 1 , 564001 ) 282000 282001 P 1 1 0 1 _____________________________________________________________________________ 4765 752 ( 2 , 282752 ) 4767 752 ( 8 , 70688 ) 35340 35348 ( 32 , 17672 ) 8820 8852 4766 4768 4769 4770 4771 4772 4773 4774 752 752 752 752 752 752 752 752 ( 4 , 141376 ) ( 16 , 35344 ) ( 64 , 8836 ) ( 94 , 6016 ) ( 128 , 4418 ) ( 188 , 3008 ) ( 376 , 1504 ) 141375 70686 17664 4386 2961 2145 1410 564 141377 70690 3055 2273 1598 940 2 M 17680 4450 M P M 4 M 4 M 2 P 1 M M 1 16 47 M 94 2 188 8 10 _____________________________________________________________________________ 4775 753 ( 1 , 567009 ) 4777 753 ( 9 , 63001 ) 4776 4778 753 753 ( 3 , 189003 ) ( 251 , 2259 ) 283504 94500 31496 1004 283505 94503 31505 1255 M P P M 1 2 3 1 251 2 4 _____________________________________________________________________________ 4779 4780 754 754 ( 2 , 284258 ) ( 26 , 21866 ) 142128 10920 142130 10946 M M 26 2 236 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4781 4782 754 754 ( 58 , 9802 ) ( 338 , 1682 ) 4872 672 4930 1010 M M 58 0 2 4 4 _____________________________________________________________________________ 4783 755 ( 1 , 570025 ) 285012 4785 755 ( 25 , 22801 ) 11388 4784 4786 755 755 ( 5 , 114005 ) ( 151 , 3775 ) 57000 1812 285013 57005 11413 1963 M M P 5 P 1 1 2 151 2 4 _____________________________________________________________________________ 4787 756 ( 2 , 285768 ) 4789 756 ( 6 , 95256 ) 4788 4790 4791 4792 4793 4794 4795 4796 4797 4798 4799 4800 4801 4802 4803 756 756 756 756 756 756 756 756 756 756 756 756 756 756 756 ( 4 , 142884 ) ( 8 , 71442 ) ( 12 , 47628 ) ( 14 , 40824 ) ( 18 , 31752 ) ( 24 , 23814 ) ( 28 , 20412 ) ( 36 , 15876 ) ( 42 , 13608 ) ( 54 , 10584 ) ( 56 , 10206 ) 142883 71440 47625 35717 23808 20405 15867 11895 10192 142885 71444 M 47631 23820 M 15885 M 5265 5319 M 5075 5131 M 3933 4005 M ( 98 , 5832 ) 2867 2965 P ( 108 , 5292 ) 3360 2592 3444 2700 3 M 28 36 M ( 72 , 7938 ) ( 84 , 6804 ) 9 M 7956 M M 12 7 M 11919 6825 1 M 20419 1 3 P 7920 6783 4 M 35725 10220 P 21 27 7 9 84 1 108 237 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4804 756 ( 126 , 4536 ) 2205 2331 M 63 4806 756 ( 168 , 3402 ) 1617 1785 M 21 4805 4807 4808 4809 4810 4811 4812 4813 4814 4815 4816 4817 756 756 756 756 756 756 756 756 756 756 756 756 ( 162 , 3528 ) ( 196 , 2916 ) ( 216 , 2646 ) ( 252 , 2268 ) ( 294 , 1944 ) ( 324 , 1764 ) ( 378 , 1512 ) ( 392 , 1458 ) ( 486 , 1176 ) ( 504 , 1134 ) ( 588 , 972 ) ( 648 , 882 ) 1683 1360 1215 1008 1845 M 1556 M 1431 1260 567 945 M 831 M 345 315 192 117 765 3 M 925 780 252 M 1044 819 27 M 1119 533 4 M 825 720 9 36 189 P 1 3 M 63 M 12 M 4 9 27 31 _____________________________________________________________________________ 4818 757 ( 1 , 573049 ) 286524 286525 P 1 1 0 1 _____________________________________________________________________________ 4819 758 ( 2 , 287282 ) 143640 143642 M 0 2 1 1 _____________________________________________________________________________ 4820 759 ( 1 , 576081 ) 4822 759 ( 9 , 64009 ) 4821 4823 4824 759 759 759 ( 3 , 192027 ) ( 11 , 52371 ) ( 23 , 25047 ) 288040 96012 32000 26180 12512 288041 96015 32009 26191 12535 M P M M P 1 3 1 11 23 238 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4825 759 ( 33 , 17457 ) 4827 759 ( 99 , 5819 ) 4826 4828 4829 4830 4831 4832 759 759 759 759 759 759 ( 69 , 8349 ) ( 121 , 4761 ) ( 207 , 2783 ) ( 253 , 2277 ) ( 363 , 1587 ) ( 529 , 1089 ) 8712 4140 2860 2320 1288 1012 612 280 8745 4209 2959 2441 M M 975 809 69 M 11 P 1495 1265 33 1 M M 23 M 3 P 4 1 253 9 13 _____________________________________________________________________________ 4833 760 ( 2 , 288800 ) 4835 760 ( 8 , 72200 ) 4834 4836 4837 4838 4839 4840 4841 4842 4843 4844 4845 4846 4847 4848 4849 760 760 760 760 760 760 760 760 760 760 760 760 760 760 760 ( 4 , 144400 ) ( 10 , 57760 ) ( 16 , 36100 ) ( 20 , 28880 ) ( 32 , 18050 ) ( 38 , 15200 ) ( 40 , 14440 ) ( 50 , 11552 ) ( 76 , 7600 ) ( 80 , 7220 ) ( 100 , 5776 ) ( 152 , 3800 ) ( 160 , 3610 ) ( 190 , 3040 ) ( 200 , 2888 ) 144399 72198 36096 28875 18042 14430 144401 72202 M 36104 18058 9041 P 7200 7240 M 5751 3762 3570 2838 1824 1725 1425 1344 7619 5801 3838 3650 2938 1976 1885 1615 1544 5 M M P M M M M M M M M 1 8 M 9009 7581 2 M 28885 14450 P 2 1 10 19 40 1 38 10 2 152 5 95 8 239 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4850 760 ( 304 , 1900 ) 798 1102 4852 760 ( 400 , 1444 ) 522 922 4851 4853 4854 760 760 760 ( 380 , 1520 ) ( 608 , 950 ) ( 722 , 800 ) 570 171 39 M 950 779 761 38 M 190 M 2 M P 4 1 19 18 22 _____________________________________________________________________________ 4855 761 ( 1 , 579121 ) 289560 289561 P 1 1 0 1 _____________________________________________________________________________ 4856 762 ( 2 , 290322 ) 4858 762 ( 18 , 32258 ) 4857 4859 762 762 145160 145162 ( 6 , 96774 ) 48384 48390 ( 254 , 2286 ) 1016 1270 16120 16138 M M M M 6 2 2 0 254 4 4 _____________________________________________________________________________ 4860 763 ( 1 , 582169 ) 4862 763 ( 49 , 11881 ) 4861 4863 763 763 291084 ( 7 , 83167 ) 41580 ( 109 , 5341 ) 2616 5916 291085 41587 5965 M P P 2725 M 1 2 7 109 2 1 4 _____________________________________________________________________________ 4864 764 ( 2 , 291848 ) 4866 764 ( 8 , 72962 ) 4865 4867 764 764 ( 4 , 145924 ) ( 382 , 1528 ) 145923 72960 36477 573 145925 72964 36485 955 M M P P 1 2 191 2 4 1 4 240 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 4868 765 ( 1 , 585225 ) 292612 4870 765 ( 5 , 117045 ) 58520 4869 4871 4872 4873 4874 4875 4876 4877 4878 4879 4880 4881 4882 4883 4884 4885 4886 4887 4888 4889 765 765 765 765 765 765 765 765 765 765 765 765 765 765 765 765 765 765 765 765 ( 3 , 195075 ) ( 9 , 65025 ) ( 15 , 39015 ) ( 17 , 34425 ) ( 25 , 23409 ) ( 27 , 21675 ) ( 45 , 13005 ) ( 51 , 11475 ) 292613 97536 97539 M 58525 32508 11692 6525 5712 5763 M 3864 3939 M ( 85 , 6885 ) 3400 3485 M ( 135 , 4335 ) ( 153 , 3825 ) ( 225 , 2601 ) ( 255 , 2295 ) ( 289 , 2025 ) ( 405 , 1445 ) ( 425 , 1377 ) ( 459 , 1275 ) ( 675 , 867 ) 3572 3653 2100 1157 476 901 520 408 96 51 3 1 85 15 153 M 1275 868 45 M 1413 1020 3 M 1989 1188 M P 2235 1836 1 M ( 75 , 7803 ) ( 81 , 7225 ) 17 P 10851 6480 15 M 11717 10824 9 M 17221 9 M P 1 255 925 M 5 867 M 51 771 M M 1 5 M 19515 17204 3 M 32517 19500 P 17 4 3 18 22 _____________________________________________________________________________ 4890 766 ( 2 , 293378 ) 146688 146690 M 0 1 2 1 241 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 4891 767 ( 1 , 588289 ) 4893 767 ( 59 , 9971 ) 4892 4894 767 767 ( 13 , 45253 ) ( 169 , 3481 ) 294144 22620 4956 1656 294145 22633 5015 1825 M M P P 1 59 2 13 1 2 4 _____________________________________________________________________________ 4895 768 ( 2 , 294912 ) 4897 768 ( 6 , 98304 ) 4896 4898 4899 4900 4901 4902 4903 4904 4905 4906 4907 4908 4909 4910 4911 4912 4913 4914 768 768 768 768 768 768 768 768 768 768 768 768 768 768 768 768 768 768 ( 4 , 147456 ) ( 8 , 73728 ) ( 12 , 49152 ) ( 16 , 36864 ) ( 18 , 32768 ) ( 24 , 24576 ) ( 32 , 18432 ) ( 36 , 16384 ) ( 48 , 12288 ) 147455 73726 49149 36860 24570 18424 16375 12276 147457 73730 M 49155 2 M 36868 24582 4 M 18440 6 M 16393 8 P 12300 9232 M 6120 6168 M 8210 M M 1 12 16 2 24 ( 64 , 9216 ) 4576 4640 M 32 ( 96 , 6144 ) 3024 3120 M 48 ( 72 , 8192 ) ( 128 , 4608 ) ( 144 , 4096 ) ( 192 , 3072 ) ( 256 , 2304 ) ( 288 , 2048 ) ( 384 , 1536 ) 4060 2240 1976 1440 1024 880 576 4132 2368 M M 2120 M 1632 1280 1168 960 M M M M 1 3 M 9200 8174 P 4 64 8 96 256 16 192 242 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4915 4916 768 768 ( 512 , 1152 ) ( 576 , 1024 ) 320 224 832 800 M M 64 2 32 20 22 _____________________________________________________________________________ 4917 769 ( 1 , 591361 ) 295680 295681 P 1 1 0 1 _____________________________________________________________________________ 4918 770 ( 2 , 296450 ) 4920 770 ( 14 , 42350 ) 4919 4921 4922 4923 4924 4925 4926 4927 4928 4929 4930 770 770 770 770 770 770 770 770 770 770 770 148224 148226 ( 10 , 59290 ) 29640 29650 M ( 22 , 26950 ) 13464 13486 M ( 50 , 11858 ) ( 70 , 8470 ) ( 98 , 6050 ) ( 110 , 5390 ) ( 154 , 3850 ) ( 242 , 2450 ) ( 350 , 1694 ) ( 490 , 1210 ) ( 550 , 1078 ) 21168 5904 4200 2976 2640 1848 1104 21182 5954 4270 3074 2750 672 1022 264 814 360 850 10 M M 2 14 2 M 22 70 M 2 M 2002 1346 M 110 M 154 M 2 M 14 M 10 M 0 22 13 13 _____________________________________________________________________________ 4931 771 ( 1 , 594441 ) 4933 771 ( 9 , 66049 ) 4932 4934 771 771 ( 3 , 198147 ) ( 257 , 2313 ) 297220 99072 33020 1028 297221 99075 33029 1285 M P P M 1 2 3 257 2 1 4 243 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 4935 772 ( 2 , 297992 ) 4937 772 ( 8 , 74498 ) 4936 4938 772 772 ( 4 , 148996 ) ( 386 , 1544 ) 148995 74496 37245 579 148997 74500 37253 965 M P P M 1 4 1 193 2 2 4 _____________________________________________________________________________ 4939 773 ( 1 , 597529 ) 298764 298765 P 1 1 0 1 _____________________________________________________________________________ 4940 774 ( 2 , 299538 ) 4942 774 ( 18 , 33282 ) 4941 4943 4944 4945 4946 774 774 774 774 774 149768 149770 ( 6 , 99846 ) 49920 49926 ( 54 , 11094 ) 5520 5574 ( 86 , 6966 ) ( 162 , 3698 ) ( 258 , 2322 ) 16632 3440 1768 1032 16650 3526 M M M 6 M 6 M 1930 18 86 M 1290 2 2 M 258 0 7 7 _____________________________________________________________________________ 4947 775 ( 1 , 600625 ) 300312 4949 775 ( 25 , 24025 ) 12000 ( 125 , 4805 ) 2340 4948 4950 4951 4952 4953 775 775 775 775 775 ( 5 , 120125 ) ( 31 , 19375 ) ( 155 , 3875 ) ( 625 , 961 ) 60060 9672 1860 168 300313 60065 12025 9703 2465 2015 793 M M P 5 M 25 31 M P 1 5 M 2 1 155 5 7 244 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 4954 776 ( 2 , 301088 ) 4956 776 ( 8 , 75272 ) 37632 37640 ( 32 , 18818 ) 9393 9425 4955 4957 4958 4959 4960 776 776 776 776 776 ( 4 , 150544 ) ( 16 , 37636 ) ( 194 , 3104 ) ( 388 , 1552 ) 150543 75270 18810 1455 582 150545 75274 970 2 M 18826 1649 M P P M 1 8 M 2 1 M 97 2 194 5 7 _____________________________________________________________________________ 4961 777 ( 1 , 603729 ) 4963 777 ( 7 , 86247 ) 4962 4964 4965 4966 4967 4968 4969 4970 4971 4972 4973 777 777 777 777 777 777 777 777 777 777 777 ( 3 , 201243 ) ( 9 , 67081 ) ( 21 , 28749 ) ( 37 , 16317 ) ( 49 , 12321 ) ( 63 , 9583 ) ( 111 , 5439 ) ( 147 , 4107 ) ( 259 , 2331 ) ( 333 , 1813 ) ( 441 , 1369 ) 301864 100620 43120 33536 14364 8140 6136 4760 2664 1980 1036 740 464 301865 P 100623 43127 M 33545 8177 4823 2775 M 1073 905 7 1 M 21 1 M 7 M 111 M 3 M 259 M P 3 37 P 2127 1295 M P 14385 6185 1 4 1 37 9 13 _____________________________________________________________________________ 4974 778 ( 2 , 302642 ) 151320 151322 M 0 1 2 1 245 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 4975 779 ( 1 , 606841 ) 4977 779 ( 41 , 14801 ) 4976 4978 779 779 303420 ( 19 , 31939 ) 15960 ( 361 , 1681 ) 660 7380 303421 15979 7421 1021 M M P P 2 1 19 1 41 2 4 _____________________________________________________________________________ 4979 780 ( 2 , 304200 ) 152099 4981 780 ( 6 , 101400 ) 50697 4980 4982 4983 4984 4985 4986 4987 4988 4989 4990 4991 4992 4993 4994 4995 4996 4997 4998 780 780 780 780 780 780 780 780 780 780 780 780 780 780 780 780 780 780 ( 4 , 152100 ) ( 8 , 76050 ) ( 10 , 60840 ) ( 12 , 50700 ) ( 18 , 33800 ) ( 20 , 30420 ) ( 24 , 25350 ) ( 26 , 23400 ) ( 30 , 20280 ) ( 36 , 16900 ) ( 40 , 15210 ) ( 50 , 12168 ) ( 52 , 11700 ) ( 60 , 10140 ) 76048 38021 30415 25344 16891 15200 12663 11687 10125 152101 76052 M 50703 P 30425 25356 M 16909 M 6059 6109 P 5824 5040 5876 5100 M M M ( 72 , 8450 ) 4189 4261 P ( 90 , 6760 ) 3335 3425 M ( 78 , 7800 ) ( 100 , 6084 ) 3861 2992 3939 3092 3 M 8468 M M 5 20 M 11713 3 1 M 12687 1 12 P 15220 7625 1 M 8432 7585 4 M 38029 10155 P 13 M 4 15 5 1 52 1 60 39 5 4 246 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 4999 780 ( 104 , 5850 ) 2873 2977 M 13 5001 780 ( 130 , 4680 ) 2275 2405 M 65 5000 5002 5003 5004 5005 5006 5007 5008 5009 5010 5011 5012 5013 5014 5015 5016 5017 5018 780 780 780 780 780 780 780 780 780 780 780 780 780 780 780 780 780 780 ( 120 , 5070 ) ( 150 , 4056 ) ( 156 , 3900 ) ( 180 , 3380 ) ( 200 , 3042 ) ( 234 , 2600 ) ( 260 , 2340 ) ( 300 , 2028 ) ( 312 , 1950 ) ( 338 , 1800 ) ( 360 , 1690 ) ( 390 , 1560 ) ( 450 , 1352 ) ( 468 , 1300 ) ( 520 , 1170 ) ( 600 , 1014 ) ( 650 , 936 ) ( 676 , 900 ) 2475 1953 1872 1600 1421 1183 1040 2595 M 2103 M 2028 1780 1621 1417 1300 P 325 207 143 112 1131 M 884 M 901 39 1 5 195 P 845 788 12 M 975 793 260 M 1025 807 13 M 1069 416 1 M 731 451 20 P M 585 156 M 1164 665 3 M 864 819 15 1 52 M 65 M 3 M 13 M 8 4 32 40 _____________________________________________________________________________ 5019 781 ( 1 , 609961 ) 5021 781 ( 71 , 8591 ) 5020 5022 781 781 ( 11 , 55451 ) ( 121 , 5041 ) 304980 27720 4260 2460 304981 27731 4331 2581 M P M P 1 71 2 1 2 11 4 247 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 5023 782 ( 2 , 305762 ) 5025 782 ( 46 , 13294 ) 5024 5026 782 782 152880 ( 34 , 17986 ) 8976 ( 578 , 1058 ) 240 6624 152882 9010 6670 818 M M M M 34 2 0 2 46 4 4 _____________________________________________________________________________ 5027 783 ( 1 , 613089 ) 5029 783 ( 9 , 68121 ) 5028 5030 5031 5032 5033 5034 5035 5036 783 783 783 783 783 783 783 783 ( 3 , 204363 ) ( 27 , 22707 ) ( 29 , 21141 ) ( 81 , 7569 ) ( 87 , 7047 ) ( 243 , 2523 ) ( 261 , 2349 ) ( 729 , 841 ) 306544 102180 34056 11340 102183 34065 10585 3744 3825 3480 3567 1140 56 P M 11367 10556 1044 306545 1305 785 M 27 M M 29 9 87 M P 3 9 M M 1383 1 3 M 2 1 261 8 10 _____________________________________________________________________________ 5037 784 ( 2 , 307328 ) 5039 784 ( 8 , 76832 ) 5038 5040 5041 5042 5043 5044 784 784 784 784 784 784 ( 4 , 153664 ) ( 14 , 43904 ) ( 16 , 38416 ) ( 28 , 21952 ) ( 32 , 19208 ) ( 56 , 10976 ) 153663 76830 38412 21945 19200 10962 9588 5460 153665 76834 38420 21959 M M M 19216 10990 9620 5516 P 2 4 7 M M M M 1 16 4 14 28 248 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5045 784 ( 64 , 9604 ) 5047 784 ( 112 , 5488 ) 5046 5048 5049 5050 5051 5052 5053 784 784 784 784 784 784 784 ( 98 , 6272 ) ( 128 , 4802 ) ( 196 , 3136 ) ( 224 , 2744 ) ( 392 , 1568 ) ( 448 , 1372 ) ( 686 , 896 ) 4770 3087 2688 2337 1470 1260 588 462 105 4834 M 3185 M 2800 112 P 1666 1 M 1484 980 791 49 M 2465 910 2 M 98 M 28 196 M 14 M 2 7 15 17 _____________________________________________________________________________ 5054 785 ( 1 , 616225 ) 308112 5056 785 ( 25 , 24649 ) 12312 5055 5057 785 785 ( 5 , 123245 ) ( 157 , 3925 ) 61620 1884 308113 61625 12337 2041 M M P P 5 1 1 2 157 2 4 _____________________________________________________________________________ 5058 786 ( 2 , 308898 ) 154448 5060 786 ( 18 , 34322 ) 17152 5059 5061 786 786 ( 6 , 102966 ) ( 262 , 2358 ) 51480 1048 154450 51486 17170 1310 M M M M 6 2 2 0 262 4 4 _____________________________________________________________________________ 5062 787 ( 1 , 619369 ) 309684 309685 P 1 0 1 1 _____________________________________________________________________________ 5063 788 ( 2 , 310472 ) 155235 155237 P 1 249 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5064 788 ( 4 , 155236 ) 5066 788 ( 394 , 1576 ) 5065 788 ( 8 , 77618 ) 77616 38805 591 77620 38813 985 M M P 1 2 4 197 2 4 _____________________________________________________________________________ 5067 789 ( 1 , 622521 ) 5069 789 ( 9 , 69169 ) 5068 5070 789 789 ( 3 , 207507 ) ( 263 , 2367 ) 311260 103752 34580 1052 311261 103755 34589 1315 P P M 1 M 2 3 1 263 2 4 _____________________________________________________________________________ 5071 790 ( 2 , 312050 ) 5073 790 ( 50 , 12482 ) 5072 5074 790 790 156024 ( 10 , 62410 ) 31200 ( 158 , 3950 ) 1896 6216 156026 31210 6266 2054 M M M M 2 0 10 158 4 2 4 _____________________________________________________________________________ 5075 791 ( 1 , 625681 ) 5077 791 ( 49 , 12769 ) 5076 5078 791 791 312840 ( 7 , 89383 ) 44688 ( 113 , 5537 ) 2712 6360 312841 44695 6409 2825 M P P M 1 2 7 113 2 1 4 _____________________________________________________________________________ 5079 792 ( 2 , 313632 ) 156815 5081 792 ( 6 , 104544 ) 52269 5080 5082 792 792 ( 4 , 156816 ) ( 8 , 78408 ) 78406 39200 156817 78410 52275 39208 M M M P 2 3 8 1 250 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5083 792 ( 12 , 52272 ) 26130 26142 M 6 5085 792 ( 18 , 34848 ) 17415 17433 M 9 5084 5086 5087 5088 5089 5090 5091 5092 5093 5094 5095 5096 5097 5098 5099 5100 5101 5102 5103 5104 5105 5106 5107 5108 5109 792 792 792 792 792 792 792 792 792 792 792 792 792 792 792 792 792 792 792 792 792 792 792 792 792 ( 16 , 39204 ) ( 22 , 28512 ) ( 24 , 26136 ) ( 32 , 19602 ) ( 36 , 17424 ) ( 44 , 14256 ) ( 48 , 13068 ) ( 54 , 11616 ) 19594 14245 13056 19610 M 14267 M 13080 9785 9817 P 7106 7150 M 8694 6510 5781 8730 M 6558 5835 2 M M M 11 1 18 22 6 3 ( 66 , 9504 ) 4719 4785 M 33 ( 88 , 7128 ) 3520 3608 M 88 ( 72 , 8712 ) ( 96 , 6534 ) ( 108 , 5808 ) ( 132 , 4752 ) ( 144 , 4356 ) ( 162 , 3872 ) ( 176 , 3564 ) ( 198 , 3168 ) ( 216 , 2904 ) ( 242 , 2592 ) ( 264 , 2376 ) ( 288 , 2178 ) ( 324 , 1936 ) ( 352 , 1782 ) ( 396 , 1584 ) 4320 3219 2850 2310 2106 1855 1694 1485 1344 1175 1056 4392 3315 2958 M M M 2442 M 2250 M 2017 P 1870 M 1683 M 1560 M 1417 1320 72 3 6 66 18 1 22 99 24 P 1 M 264 945 1233 M 9 715 1067 M 11 806 594 1130 990 M M 24 2 198 251 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5110 792 ( 432 , 1452 ) 510 942 M 6 5112 792 ( 528 , 1188 ) 330 858 M 66 5111 5113 5114 5115 792 792 792 792 ( 484 , 1296 ) ( 594 , 1056 ) ( 648 , 968 ) ( 726 , 864 ) 406 890 231 160 69 M 825 808 795 2 M 33 M M 4 3 8 33 37 _____________________________________________________________________________ 5116 793 ( 1 , 628849 ) 5118 793 ( 61 , 10309 ) 5117 5119 793 793 314424 ( 13 , 48373 ) 24180 ( 169 , 3721 ) 1776 5124 314425 24193 5185 M 1945 M P P 1 13 61 2 1 2 4 _____________________________________________________________________________ 5120 794 ( 2 , 315218 ) 157608 157610 M 0 2 1 1 _____________________________________________________________________________ 5121 795 ( 1 , 632025 ) 316012 5123 795 ( 5 , 126405 ) 63200 5122 5124 5125 5126 5127 5128 5129 5130 795 795 795 795 795 795 795 795 ( 3 , 210675 ) ( 9 , 70225 ) ( 15 , 42135 ) ( 25 , 25281 ) ( 45 , 14045 ) ( 53 , 11925 ) ( 75 , 8427 ) ( 159 , 3975 ) 105336 35108 21060 12628 7000 5936 4176 1908 316013 P 105339 63205 M 35117 7045 5989 4251 2067 M P 21075 12653 1 1 M M M M M P 5 5 15 1 53 3 159 3 252 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5131 795 ( 225 , 2809 ) 1292 5133 795 ( 477 , 1325 ) 424 5132 795 ( 265 , 2385 ) 1517 1060 P 1325 901 M 1 M 265 53 4 9 13 _____________________________________________________________________________ 5134 796 ( 2 , 316808 ) 5136 796 ( 8 , 79202 ) 5135 5137 796 796 ( 4 , 158404 ) ( 398 , 1592 ) 158403 79200 39597 158405 79204 39605 597 995 M P P M 1 4 1 199 2 2 4 _____________________________________________________________________________ 5138 797 ( 1 , 635209 ) 317604 317605 P 1 1 0 1 _____________________________________________________________________________ 5139 798 ( 2 , 318402 ) 159200 5141 798 ( 14 , 45486 ) 22736 ( 38 , 16758 ) 8360 5140 5142 5143 5144 5145 5146 5147 5148 5149 5150 5151 798 798 798 798 798 798 798 798 798 798 798 ( 6 , 106134 ) ( 18 , 35378 ) ( 42 , 15162 ) ( 98 , 6498 ) ( 114 , 5586 ) ( 126 , 5054 ) ( 266 , 2394 ) ( 294 , 2166 ) ( 342 , 1862 ) ( 722 , 882 ) 159202 53064 17680 7560 3200 2736 2464 1064 936 760 80 53070 M 22750 17698 8398 7602 M M 14 M 2 38 42 M 2850 2 M 2590 114 M 1330 14 M 1230 802 6 M 3298 1102 M 266 M M M 6 2 38 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 253 0 13 13 _____________________________________________________________________________ 5152 799 ( 1 , 638401 ) 5154 799 ( 47 , 13583 ) 5153 5155 799 799 319200 ( 17 , 37553 ) 18768 ( 289 , 2209 ) 960 6768 319201 18785 6815 1249 M M P P 2 1 17 1 47 2 4 _____________________________________________________________________________ 5156 800 ( 2 , 320000 ) 5158 800 ( 8 , 80000 ) 5157 5159 5160 5161 5162 5163 5164 5165 5166 5167 5168 5169 5170 5171 5172 5173 5174 800 800 800 800 800 800 800 800 800 800 800 800 800 800 800 800 800 ( 4 , 160000 ) ( 10 , 64000 ) ( 16 , 40000 ) ( 20 , 32000 ) ( 32 , 20000 ) ( 40 , 16000 ) ( 50 , 12800 ) ( 64 , 10000 ) ( 80 , 8000 ) ( 100 , 6400 ) ( 128 , 5000 ) ( 160 , 4000 ) ( 200 , 3200 ) ( 250 , 2560 ) ( 256 , 2500 ) ( 320 , 2000 ) ( 400 , 1600 ) 159999 79998 39996 31995 19992 15990 160001 80002 40004 6425 3150 2436 1920 1500 1155 1122 840 600 2 M M 5 8 10 32 8020 M 20 5032 M 8 4040 3250 2564 2080 1700 1405 1378 1160 1000 M M M M M M M M M M 1 4 M 16010 6375 3960 M 20008 10016 4968 M 32005 9984 7980 M P 25 40 50 4 160 100 5 2 40 200 254 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5175 800 ( 500 , 1280 ) 390 890 M 5177 800 ( 640 , 1000 ) 180 820 M 5176 800 ( 512 , 1250 ) 369 881 10 P 1 2 20 20 22 _____________________________________________________________________________ 5178 801 ( 1 , 641601 ) 5180 801 ( 9 , 71289 ) 35640 ( 81 , 7921 ) 3920 5179 5181 5182 5183 5184 801 801 801 801 801 ( 3 , 213867 ) ( 27 , 23763 ) ( 89 , 7209 ) ( 267 , 2403 ) 320800 106932 11868 3560 1068 320801 P 106935 35649 11895 4001 3649 1335 M M M P 1 9 3 1 M 3 89 M 2 267 5 7 _____________________________________________________________________________ 5185 802 ( 2 , 321602 ) 160800 160802 M 0 2 1 1 _____________________________________________________________________________ 5186 803 ( 1 , 644809 ) 5188 803 ( 73 , 8833 ) 5187 5189 803 803 ( 11 , 58619 ) ( 121 , 5329 ) 322404 29304 4380 2604 322405 29315 4453 2725 M M P P 1 73 2 11 1 2 4 _____________________________________________________________________________ 5190 804 ( 2 , 323208 ) 161603 5192 804 ( 6 , 107736 ) 53865 5191 5193 804 804 ( 4 , 161604 ) ( 8 , 80802 ) 80800 40397 161605 80804 53871 40405 M M P P 4 1 3 1 255 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5194 804 ( 12 , 53868 ) 26928 26940 M 5196 804 ( 24 , 26934 ) 13455 13479 M 5195 5197 5198 5199 5200 5201 5202 804 804 804 804 804 804 804 ( 18 , 35912 ) ( 36 , 17956 ) ( 72 , 8978 ) ( 134 , 4824 ) ( 268 , 2412 ) ( 402 , 1608 ) ( 536 , 1206 ) 17947 8960 4453 2345 1072 603 335 17965 8996 4525 2479 1340 1005 871 12 P M 1 P 1 M M 4 3 67 268 M 201 M 4 67 9 13 _____________________________________________________________________________ 5203 805 ( 1 , 648025 ) 5205 805 ( 7 , 92575 ) 5204 5206 5207 5208 5209 5210 5211 5212 5213 5214 5215 805 805 805 805 805 805 805 805 805 805 805 ( 5 , 129605 ) ( 23 , 28175 ) ( 25 , 25921 ) ( 35 , 18515 ) ( 49 , 13225 ) ( 115 , 5635 ) ( 161 , 4025 ) ( 175 , 3703 ) ( 245 , 2645 ) ( 529 , 1225 ) ( 575 , 1127 ) 324012 64800 46284 14076 12948 324013 64805 46291 14099 M 7 P 1 M 12973 9275 M 2760 2875 M 1764 1939 M 1932 1200 348 276 6637 877 851 35 1 115 M P M 1 23 P 2093 1445 5 M 9240 6588 P 161 7 M 1 4 5 23 9 13 _____________________________________________________________________________ 5216 806 ( 2 , 324818 ) 162408 162410 M 2 256 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5217 806 ( 26 , 24986 ) 12480 5219 806 ( 338 , 1922 ) 792 5218 806 ( 62 , 10478 ) 5208 12506 5270 1130 M M M 26 62 0 2 4 4 _____________________________________________________________________________ 5220 807 ( 1 , 651249 ) 5222 807 ( 9 , 72361 ) 5221 5223 807 807 ( 3 , 217083 ) ( 269 , 2421 ) 325624 108540 36176 1076 325625 P 108543 36185 1345 P M 1 M 2 3 1 269 2 4 _____________________________________________________________________________ 5224 808 ( 2 , 326432 ) 5226 808 ( 8 , 81608 ) 5225 5227 5228 5229 5230 808 808 808 808 808 ( 4 , 163216 ) ( 16 , 40804 ) ( 32 , 20402 ) ( 202 , 3232 ) ( 404 , 1616 ) 163215 81606 40800 20394 10185 1515 606 163217 81610 M 40808 20410 1010 2 M 8 P 1 M 10217 1717 P M M 1 2 101 2 202 5 7 _____________________________________________________________________________ 5231 809 ( 1 , 654481 ) 327240 327241 P 1 1 0 1 _____________________________________________________________________________ 5232 810 ( 2 , 328050 ) 164024 5234 810 ( 10 , 65610 ) 32800 5233 5235 810 810 ( 6 , 109350 ) ( 18 , 36450 ) 54672 18216 164026 54678 32810 18234 M M M M 6 10 18 2 257 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5236 810 ( 30 , 21870 ) 10920 5238 810 ( 54 , 12150 ) 6048 5237 5239 5240 5241 5242 5243 5244 810 810 810 810 810 810 810 ( 50 , 13122 ) ( 90 , 7290 ) ( 150 , 4374 ) ( 162 , 4050 ) ( 270 , 2430 ) ( 450 , 1458 ) ( 486 , 1350 ) 6536 3600 2112 1944 1080 504 432 10950 6586 6102 3690 2262 M 954 918 2 M 90 M 6 M M 30 54 M 2106 1350 M 162 M 270 18 M 0 54 13 13 _____________________________________________________________________________ 5245 811 ( 1 , 657721 ) 328860 328861 P 1 1 0 1 _____________________________________________________________________________ 5246 812 ( 2 , 329672 ) 5248 812 ( 8 , 82418 ) 5247 5249 5250 5251 5252 5253 5254 5255 5256 5257 5258 812 812 812 812 812 812 812 812 812 812 812 ( 4 , 164836 ) ( 14 , 47096 ) ( 28 , 23548 ) ( 56 , 11774 ) ( 58 , 11368 ) ( 98 , 6728 ) ( 116 , 5684 ) ( 196 , 3364 ) ( 232 , 2842 ) ( 392 , 1682 ) ( 406 , 1624 ) 164835 82416 41205 23541 11760 5859 5655 3315 2784 1584 1305 645 609 164837 82420 M 41213 P 23555 11788 5915 5713 3413 2900 1780 1537 1037 1015 P 1 M M M P M M 7 1 M M P M 4 7 28 29 116 4 1 1 29 203 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 258 4 9 13 _____________________________________________________________________________ 5259 813 ( 1 , 660969 ) 5261 813 ( 9 , 73441 ) 5260 5262 813 813 ( 3 , 220323 ) ( 271 , 2439 ) 330484 110160 36716 1084 330485 P 110163 36725 1355 P M 1 M 2 3 1 271 2 4 _____________________________________________________________________________ 5263 814 ( 2 , 331298 ) 5265 814 ( 74 , 8954 ) 5264 5266 814 814 ( 22 , 30118 ) ( 242 , 2738 ) 165648 15048 4440 1248 165650 15070 4514 1490 M M M M 74 0 22 2 4 2 4 _____________________________________________________________________________ 5267 815 ( 1 , 664225 ) 332112 5269 815 ( 25 , 26569 ) 13272 5268 5270 815 815 ( 5 , 132845 ) ( 163 , 4075 ) 66420 1956 332113 66425 13297 2119 M M P P 5 1 1 2 163 2 4 _____________________________________________________________________________ 5271 816 ( 2 , 332928 ) 166463 5273 816 ( 6 , 110976 ) 55485 5272 5274 5275 5276 5277 816 816 816 816 816 ( 4 , 166464 ) ( 8 , 83232 ) ( 12 , 55488 ) ( 16 , 41616 ) ( 18 , 36992 ) 83230 41612 27738 20800 18487 166465 83234 55491 41620 27750 20816 18505 M M M M M P P 2 1 3 4 6 16 1 259 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5278 816 ( 24 , 27744 ) 13860 5280 816 ( 34 , 19584 ) 9775 9809 M 6912 6960 M 5279 5281 5282 5283 5284 5285 5286 5287 5288 5289 5290 5291 5292 5293 5294 5295 5296 5297 5298 5299 5300 5301 816 816 816 816 816 816 816 816 816 816 816 816 816 816 816 816 816 816 816 816 816 816 ( 32 , 20808 ) ( 36 , 18496 ) ( 48 , 13872 ) ( 64 , 10404 ) 10388 9230 5170 13884 M 10420 9266 5234 12 M 4 17 M 2 48 M 2 ( 68 , 9792 ) 4862 4930 M 34 ( 96 , 6936 ) 3420 3516 M 12 ( 72 , 9248 ) ( 102 , 6528 ) ( 128 , 5202 ) ( 136 , 4896 ) ( 144 , 4624 ) ( 192 , 3468 ) ( 204 , 3264 ) ( 272 , 2448 ) ( 288 , 2312 ) ( 306 , 2176 ) ( 384 , 1734 ) ( 408 , 1632 ) ( 544 , 1224 ) ( 576 , 1156 ) ( 578 , 1152 ) ( 612 , 1088 ) 4588 3213 2537 2380 2240 1638 1530 1088 1012 4660 3315 M M 2665 51 P 2516 1 M 2384 68 M 1830 16 M 1734 6 M 1360 1300 4 102 M 272 M 4 935 1241 M 17 612 1020 M 204 675 340 290 287 238 1059 M 884 M 865 P 866 850 3 68 M M 2 1 4 34 27 31 _____________________________________________________________________________ 5302 817 ( 1 , 667489 ) 333744 333745 P 1 260 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5303 817 ( 19 , 35131 ) 17556 5305 817 ( 361 , 1849 ) 744 5304 817 ( 43 , 15523 ) 7740 17575 7783 1105 M M P 19 2 1 43 2 4 _____________________________________________________________________________ 5306 818 ( 2 , 334562 ) 167280 167282 M 0 2 1 1 _____________________________________________________________________________ 5307 819 ( 1 , 670761 ) 5309 819 ( 7 , 95823 ) 5308 5310 5311 5312 5313 5314 5315 5316 5317 5318 5319 5320 5321 5322 5323 5324 5325 819 819 819 819 819 819 819 819 819 819 819 819 819 819 819 819 819 ( 3 , 223587 ) ( 9 , 74529 ) ( 13 , 51597 ) ( 21 , 31941 ) ( 27 , 24843 ) ( 39 , 17199 ) ( 49 , 13689 ) ( 63 , 10647 ) ( 81 , 8281 ) ( 91 , 7371 ) ( 117 , 5733 ) ( 147 , 4563 ) ( 169 , 3969 ) ( 189 , 3549 ) ( 273 , 2457 ) ( 351 , 1911 ) ( 441 , 1521 ) 335380 111792 47908 37260 25792 15960 12408 335381 P 111795 47915 M 37269 25805 15981 M 5292 5355 M 3640 2808 2208 1900 1680 1092 780 540 6869 3731 2925 P M M 3 39 1 1 117 3 P 1 M 21 M M M 63 91 M 1869 981 21 M 2069 1131 13 P 2355 1365 9 M 12435 4181 7 M 8619 4100 M M 8580 6820 1 273 9 39 3 261 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5326 819 ( 507 , 1323 ) 408 915 M 3 5328 819 ( 637 , 1053 ) 208 845 M 13 5327 819 ( 567 , 1183 ) 308 875 M 7 4 18 22 _____________________________________________________________________________ 5329 820 ( 2 , 336200 ) 5331 820 ( 8 , 84050 ) 5330 5332 5333 5334 5335 5336 5337 5338 5339 5340 5341 820 820 820 820 820 820 820 820 820 820 820 ( 4 , 168100 ) ( 10 , 67240 ) ( 20 , 33620 ) ( 40 , 16810 ) ( 50 , 13448 ) ( 82 , 8200 ) ( 100 , 6724 ) ( 164 , 4100 ) ( 200 , 3362 ) ( 328 , 2050 ) ( 410 , 1640 ) 168099 84048 42021 33615 16800 8385 6699 4059 3312 1968 1581 861 615 168101 84052 M 42029 P 33625 8425 4141 3412 M 1189 1025 M 5 P 4 1 5 20 1 M 41 M 2132 1781 1 M 16820 6749 P 4 M 164 P 1 M 41 M 4 205 9 13 _____________________________________________________________________________ 5342 821 ( 1 , 674041 ) 337020 337021 P 1 1 0 1 _____________________________________________________________________________ 5343 822 ( 2 , 337842 ) 168920 5345 822 ( 18 , 37538 ) 18760 5344 5346 822 822 ( 6 , 112614 ) ( 274 , 2466 ) 56304 1096 168922 56310 18778 1370 M M M M 6 2 274 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 262 0 4 4 _____________________________________________________________________________ 5347 823 ( 1 , 677329 ) 338664 338665 P 1 1 0 1 _____________________________________________________________________________ 5348 824 ( 2 , 339488 ) 5350 824 ( 8 , 84872 ) 5349 5351 5352 5353 5354 824 824 824 824 824 ( 4 , 169744 ) ( 16 , 42436 ) ( 32 , 21218 ) ( 206 , 3296 ) ( 412 , 1648 ) 169743 84870 42432 21210 10593 1545 618 169745 84874 M 42440 21226 1030 2 M 8 P 1 M 10625 1751 P M M 1 2 103 2 206 5 7 _____________________________________________________________________________ 5355 825 ( 1 , 680625 ) 340312 5357 825 ( 5 , 136125 ) 68060 5356 5358 5359 5360 5361 5362 5363 5364 5365 5366 5367 825 825 825 825 825 825 825 825 825 825 825 ( 3 , 226875 ) ( 9 , 75625 ) ( 11 , 61875 ) ( 15 , 45375 ) ( 25 , 27225 ) ( 33 , 20625 ) ( 45 , 15125 ) ( 55 , 12375 ) ( 75 , 9075 ) ( 99 , 6875 ) ( 121 , 5625 ) 113436 37808 30932 22680 13600 10296 7540 6160 4500 3388 2752 340313 P 113439 68065 M 37817 M 13625 6215 4575 3487 2873 1 M 22695 7585 M P 30943 10329 1 M M M M P 11 15 M M 5 25 5 33 55 75 11 1 3 263 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5368 825 ( 125 , 5445 ) 2660 2785 M 5 5370 825 ( 225 , 3025 ) 1400 1625 M 25 5369 5371 5372 5373 5374 5375 5376 825 825 825 825 825 825 825 ( 165 , 4125 ) ( 275 , 2475 ) ( 363 , 1875 ) ( 375 , 1815 ) ( 495 , 1375 ) ( 605 , 1125 ) ( 625 , 1089 ) 1980 1100 2145 1375 M M 756 1119 440 935 M 857 P 720 260 232 1095 865 165 275 M 3 M 15 55 M 5 4 1 18 22 _____________________________________________________________________________ 5377 826 ( 2 , 341138 ) 5379 826 ( 98 , 6962 ) 5378 5380 826 826 ( 14 , 48734 ) ( 118 , 5782 ) 170568 24360 3432 2832 170570 24374 3530 2950 M M M M 14 2 0 118 4 2 4 _____________________________________________________________________________ 5381 827 ( 1 , 683929 ) 341964 341965 P 1 1 0 1 _____________________________________________________________________________ 5382 828 ( 2 , 342792 ) 171395 5384 828 ( 6 , 114264 ) 57129 5383 5385 5386 5387 5388 828 828 828 828 828 ( 4 , 171396 ) ( 8 , 85698 ) ( 12 , 57132 ) ( 18 , 38088 ) ( 24 , 28566 ) 85696 42845 28560 19035 14271 171397 85700 57135 42853 28572 19053 14295 M M P M M M P 4 1 1 3 12 9 3 264 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5389 828 ( 36 , 19044 ) 9504 9540 M 36 5391 828 ( 54 , 12696 ) 6321 6375 M 3 5390 5392 5393 5394 5395 5396 5397 5398 5399 5400 5401 5402 5403 828 828 828 828 828 828 828 828 828 828 828 828 828 ( 46 , 14904 ) ( 72 , 9522 ) ( 92 , 7452 ) ( 108 , 6348 ) ( 138 , 4968 ) ( 162 , 4232 ) ( 184 , 3726 ) ( 216 , 3174 ) ( 276 , 2484 ) ( 324 , 2116 ) ( 414 , 1656 ) ( 552 , 1242 ) ( 648 , 1058 ) 7429 4725 3680 3120 2415 2035 1771 1479 1104 7475 4797 3772 3228 345 897 205 853 12 M 69 P 1 M 1695 1035 92 M 1955 1220 9 M 2197 1380 23 M 2553 896 621 M 23 M 3 M 276 M 4 M 207 M 69 P 4 1 18 22 _____________________________________________________________________________ 5404 829 ( 1 , 687241 ) 343620 343621 P 1 1 0 1 _____________________________________________________________________________ 5405 830 ( 2 , 344450 ) 5407 830 ( 50 , 13778 ) 5406 5408 830 830 172224 ( 10 , 68890 ) 34440 ( 166 , 4150 ) 1992 6864 172226 34450 6914 2158 M M M M 2 0 10 166 4 2 4 _____________________________________________________________________________ 5409 831 ( 1 , 690561 ) 345280 345281 P 1 265 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5410 831 ( 3 , 230187 ) 5412 831 ( 277 , 2493 ) 5411 831 ( 9 , 76729 ) 115092 38360 1108 115095 38369 1385 P M M 3 1 277 2 2 4 _____________________________________________________________________________ 5413 832 ( 2 , 346112 ) 5415 832 ( 8 , 86528 ) 5414 5416 5417 5418 5419 5420 5421 5422 5423 5424 5425 5426 5427 5428 832 832 832 832 832 832 832 832 832 832 832 832 832 832 ( 4 , 173056 ) ( 16 , 43264 ) ( 26 , 26624 ) ( 32 , 21632 ) ( 52 , 13312 ) ( 64 , 10816 ) ( 104 , 6656 ) ( 128 , 5408 ) ( 208 , 3328 ) ( 256 , 2704 ) ( 338 , 2048 ) ( 416 , 1664 ) ( 512 , 1352 ) ( 676 , 1024 ) 173055 86526 43260 21624 13299 10800 173057 86530 M 43268 21640 13325 M 3276 3380 M 1560 1768 M 1224 5440 855 1193 420 932 624 174 1040 850 13 M 16 26 M 2768 1480 8 M 10832 1 4 M 6682 2640 2 M 6630 5376 P 64 52 M 16 104 M P 1 M 4 M M 2 2 8 208 14 16 _____________________________________________________________________________ 5429 833 ( 1 , 693889 ) 5431 833 ( 17 , 40817 ) 5430 5432 833 833 346944 346945 ( 7 , 99127 ) 49560 49567 ( 49 , 14161 ) 7056 7105 20400 20417 M M M P 7 1 17 49 266 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5433 833 ( 119 , 5831 ) 2856 5435 833 ( 343 , 2023 ) 840 5434 833 ( 289 , 2401 ) 1056 2975 1345 1183 M 119 P 1 M 2 7 5 7 _____________________________________________________________________________ 5436 834 ( 2 , 347778 ) 173888 5438 834 ( 18 , 38642 ) 19312 5437 5439 834 834 ( 6 , 115926 ) ( 278 , 2502 ) 57960 1112 173890 57966 19330 1390 M M M M 2 6 2 0 278 4 4 _____________________________________________________________________________ 5440 835 ( 1 , 697225 ) 348612 5442 835 ( 25 , 27889 ) 13932 5441 5443 835 835 ( 5 , 139445 ) ( 167 , 4175 ) 69720 2004 348613 69725 13957 2171 M M P P 5 1 1 2 167 2 4 _____________________________________________________________________________ 5444 836 ( 2 , 349448 ) 5446 836 ( 8 , 87362 ) 43677 43685 ( 38 , 18392 ) 9177 9215 5445 5447 5448 5449 5450 5451 5452 5453 836 836 836 836 836 836 836 836 ( 4 , 174724 ) ( 22 , 31768 ) ( 44 , 15884 ) ( 76 , 9196 ) ( 88 , 7942 ) ( 152 , 4598 ) ( 242 , 2888 ) 174723 87360 15873 7920 4560 3927 2223 1323 174725 87364 15895 7964 4636 4015 2375 1565 M P P M M M M M P M 1 4 11 19 44 76 11 19 1 1 267 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5454 836 ( 418 , 1672 ) 5456 836 ( 722 , 968 ) 5455 836 ( 484 , 1444 ) 627 480 123 1045 964 845 M M P 4 1 4 209 9 13 _____________________________________________________________________________ 5457 837 ( 1 , 700569 ) 5459 837 ( 9 , 77841 ) 5458 5460 5461 5462 5463 5464 5465 5466 837 837 837 837 837 837 837 837 ( 3 , 233523 ) ( 27 , 25947 ) ( 31 , 22599 ) ( 81 , 8649 ) ( 93 , 7533 ) ( 243 , 2883 ) ( 279 , 2511 ) ( 729 , 961 ) 350284 116760 38916 12960 11284 4284 3720 1320 1116 116 350285 P 116763 38925 M 12987 11315 4365 3813 845 M M 27 M M 31 9 93 M P 3 9 M 1563 1395 1 3 M 2 1 279 8 10 _____________________________________________________________________________ 5467 838 ( 2 , 351122 ) 175560 175562 M 0 2 1 1 _____________________________________________________________________________ 5468 839 ( 1 , 703921 ) 351960 351961 P 1 1 0 1 _____________________________________________________________________________ 5469 840 ( 2 , 352800 ) 176399 5471 840 ( 6 , 117600 ) 58797 5470 5472 840 840 ( 4 , 176400 ) ( 8 , 88200 ) 88198 44096 176401 88202 58803 44104 M M M P 2 3 8 1 268 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5473 840 ( 10 , 70560 ) 35275 35285 M 5 5475 840 ( 14 , 50400 ) 25193 25207 M 7 5474 5476 5477 5478 5479 5480 5481 5482 5483 5484 5485 5486 5487 5488 5489 5490 5491 5492 5493 5494 5495 5496 5497 5498 5499 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 ( 12 , 58800 ) ( 16 , 44100 ) ( 18 , 39200 ) ( 20 , 35280 ) ( 24 , 29400 ) ( 28 , 25200 ) ( 30 , 23520 ) ( 32 , 22050 ) ( 36 , 19600 ) ( 40 , 17640 ) ( 42 , 16800 ) ( 48 , 14700 ) ( 50 , 14112 ) ( 56 , 12600 ) ( 60 , 11760 ) ( 70 , 10080 ) 29394 22042 19591 17630 14688 12586 11745 11009 29406 M 22058 M 19609 14712 11775 8379 8421 M 7031 6272 5850 5005 7081 6328 5910 5075 14 M M 7374 24 M 9818 7326 10 M 12614 8840 1 M 9782 8800 2 P 17650 11041 6 15 P 2 M M P M 40 21 6 1 56 M M 30 35 ( 72 , 9800 ) 4864 4936 M 8 ( 84 , 8400 ) 4158 4242 M 42 ( 80 , 8820 ) ( 90 , 7840 ) ( 96 , 7350 ) ( 98 , 7200 ) ( 100 , 7056 ) ( 112 , 6300 ) ( 120 , 5880 ) 4370 3875 3627 3551 3478 3094 2880 4450 3965 3723 3649 3578 3206 3000 M M M P M M M 1 10 5 3 1 2 14 120 269 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5500 840 ( 126 , 5600 ) 2737 2863 M 7 5502 840 ( 144 , 4900 ) 2378 2522 M 2 5501 5503 5504 5505 5506 5507 5508 5509 5510 5511 5512 5513 5514 5515 5516 5517 5518 5519 5520 5521 5522 5523 5524 5525 5526 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 840 ( 140 , 5040 ) ( 150 , 4704 ) ( 160 , 4410 ) ( 168 , 4200 ) ( 180 , 3920 ) ( 196 , 3600 ) ( 200 , 3528 ) ( 210 , 3360 ) ( 224 , 3150 ) ( 240 , 2940 ) ( 252 , 2800 ) ( 280 , 2520 ) ( 288 , 2450 ) ( 294 , 2400 ) ( 300 , 2352 ) ( 336 , 2100 ) ( 350 , 2016 ) ( 360 , 1960 ) ( 392 , 1800 ) ( 400 , 1764 ) ( 420 , 1680 ) ( 450 , 1568 ) ( 480 , 1470 ) ( 490 , 1440 ) ( 504 , 1400 ) 2450 2277 2125 2016 1870 1702 1664 1575 1463 1350 1274 1120 1081 1053 1026 2590 M 2427 M 2285 3 M 2184 5 M 2050 168 M 1898 10 M 1864 2 M 1785 8 M 1687 105 M 1590 7 M 1526 30 M 1400 14 M 1369 280 P 1347 1326 70 1 M 3 M 6 882 1218 M 42 800 1160 M 40 833 704 682 630 559 495 475 448 1183 1096 1082 1050 1009 M 7 M 8 M M P 2 210 1 975 M 15 952 M 56 965 M 5 270 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5527 840 ( 560 , 1260 ) 350 910 M 70 5529 840 ( 600 , 1176 ) 288 888 M 24 5528 5530 5531 5532 5533 5534 5535 840 840 840 840 840 840 840 ( 588 , 1200 ) ( 630 , 1120 ) ( 672 , 1050 ) ( 700 , 1008 ) 306 245 ( 800 , 882 ) 41 58 842 35 M 854 850 6 M 861 154 130 M 875 189 ( 720 , 980 ) ( 784 , 900 ) 894 21 M 14 M M 841 2 P 8 1 10 59 67 _____________________________________________________________________________ 5536 5537 841 841 ( 1 , 707281 ) ( 29 , 24389 ) 353640 12180 353641 12209 M P 1 1 29 1 2 _____________________________________________________________________________ 5538 842 ( 2 , 354482 ) 177240 177242 M 0 2 1 1 _____________________________________________________________________________ 5539 843 ( 1 , 710649 ) 5541 843 ( 9 , 78961 ) 5540 5542 843 843 ( 3 , 236883 ) ( 281 , 2529 ) 355324 118440 39476 1124 355325 118443 39485 1405 P P M 1 M 2 3 1 281 2 4 _____________________________________________________________________________ 5543 844 ( 2 , 356168 ) 5545 844 ( 8 , 89042 ) 5544 844 ( 4 , 178084 ) 178083 89040 44517 178085 89044 44525 M P P 1 4 1 271 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5546 844 ( 422 , 1688 ) 633 1055 M 2 211 2 4 _____________________________________________________________________________ 5547 845 ( 1 , 714025 ) 357012 5549 845 ( 13 , 54925 ) 27456 ( 65 , 10985 ) 5460 5548 5550 5551 5552 5553 845 845 845 845 845 ( 5 , 142805 ) ( 25 , 28561 ) ( 169 , 4225 ) ( 325 , 2197 ) 71400 14268 2028 936 357013 71405 M 27469 5525 1261 5 M 14293 2197 P M 1 13 P 1 65 M 169 M 2 13 5 7 _____________________________________________________________________________ 5554 846 ( 2 , 357858 ) 178928 5556 846 ( 18 , 39762 ) 19872 5555 5557 5558 5559 5560 846 846 846 846 846 ( 6 , 119286 ) ( 54 , 13254 ) ( 94 , 7614 ) ( 162 , 4418 ) ( 282 , 2538 ) 59640 6600 3760 2128 1128 178930 59646 19890 6654 3854 2290 M M M M 18 94 M 1410 6 6 M 2 2 M 0 282 7 7 _____________________________________________________________________________ 5561 847 ( 1 , 717409 ) 358704 5563 847 ( 11 , 65219 ) 32604 5562 5564 5565 5566 847 847 847 847 ( 7 , 102487 ) ( 49 , 14641 ) ( 77 , 9317 ) ( 121 , 5929 ) 51240 7296 4620 2904 358705 51247 32615 7345 4697 3025 M P M M M P 7 1 77 1 11 121 272 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5567 847 ( 539 , 1331 ) 396 935 M 2 11 5 7 _____________________________________________________________________________ 5568 848 ( 2 , 359552 ) 5570 848 ( 8 , 89888 ) 5569 5571 5572 5573 5574 5575 5576 5577 848 848 848 848 848 848 848 848 ( 4 , 179776 ) ( 16 , 44944 ) ( 32 , 22472 ) ( 64 , 11236 ) ( 106 , 6784 ) ( 128 , 5618 ) ( 212 , 3392 ) ( 424 , 1696 ) 179775 89886 44940 22464 11220 5586 179777 89890 M 44948 22480 11252 5650 M M 1590 1802 M 2873 1060 1 4 M 3445 636 2 M 3339 2745 P 16 M 2 4 53 P 1 106 M 2 212 8 10 _____________________________________________________________________________ 5578 849 ( 1 , 720801 ) 5580 849 ( 9 , 80089 ) 5579 5581 849 849 ( 3 , 240267 ) ( 283 , 2547 ) 360400 120132 40040 1132 360401 120135 40049 1415 P P M 1 M 2 3 1 283 2 4 _____________________________________________________________________________ 5582 850 ( 2 , 361250 ) 5584 850 ( 34 , 21250 ) 5583 5585 5586 5587 850 850 850 850 180624 ( 10 , 72250 ) 36120 ( 50 , 14450 ) 7200 ( 170 , 4250 ) ( 250 , 2890 ) 10608 2040 1320 180626 36130 10642 7250 2210 1570 M M M M M M 10 34 50 170 10 2 273 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5588 850 ( 578 , 1250 ) 336 914 M 0 2 7 7 _____________________________________________________________________________ 5589 851 ( 1 , 724201 ) 5591 851 ( 37 , 19573 ) 5590 5592 851 851 362100 ( 23 , 31487 ) 15732 ( 529 , 1369 ) 420 9768 362101 15755 9805 949 P M M P 2 1 23 1 37 2 4 _____________________________________________________________________________ 5593 852 ( 2 , 362952 ) 181475 5595 852 ( 6 , 120984 ) 60489 5594 5596 5597 5598 5599 5600 5601 5602 5603 5604 5605 852 852 852 852 852 852 852 852 852 852 852 ( 4 , 181476 ) ( 8 , 90738 ) ( 12 , 60492 ) ( 18 , 40328 ) ( 24 , 30246 ) ( 36 , 20164 ) ( 72 , 10082 ) ( 142 , 5112 ) ( 284 , 2556 ) ( 426 , 1704 ) ( 568 , 1278 ) 90736 45365 30240 20155 15111 10064 5005 2485 1136 639 355 181477 90740 M 60495 P 30252 P 15135 5077 P 2627 3 12 3 M 1 M 4 71 M 284 M M 1 1 M 10100 923 1 M 20173 1065 4 M 45373 1420 P 213 4 71 9 13 _____________________________________________________________________________ 5606 853 ( 1 , 727609 ) 363804 363805 P 1 0 1 1 _____________________________________________________________________________ 274 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5607 854 ( 2 , 364658 ) 5609 854 ( 98 , 7442 ) 5608 5610 854 854 ( 14 , 52094 ) ( 122 , 5978 ) 182328 26040 3672 2928 182330 26054 3770 3050 M M M M 14 2 0 122 4 2 4 _____________________________________________________________________________ 5611 855 ( 1 , 731025 ) 365512 5613 855 ( 5 , 146205 ) 73100 5612 5614 5615 5616 5617 5618 5619 5620 5621 5622 5623 5624 5625 5626 5627 5628 5629 5630 5631 855 855 855 855 855 855 855 855 855 855 855 855 855 855 855 855 855 855 855 ( 3 , 243675 ) ( 9 , 81225 ) ( 15 , 48735 ) ( 19 , 38475 ) ( 25 , 29241 ) ( 27 , 27075 ) ( 45 , 16245 ) ( 57 , 12825 ) 121836 40608 24360 19228 14608 13524 8100 6384 365513 P 121839 73105 M 40617 19247 14633 8145 M M 4911 M ( 95 , 7695 ) 3800 3895 M ( 135 , 5415 ) ( 171 , 4275 ) ( 225 , 3249 ) ( 285 , 2565 ) ( 361 , 2025 ) ( 405 , 1805 ) ( 475 , 1539 ) ( 513 , 1425 ) 2640 2052 1512 1140 2775 P M 2223 M 1193 P 532 1007 M 456 1105 969 1 M 3 45 57 3 1 95 15 171 M 832 700 19 M 1737 1425 15 P 13551 4553 9 M 4836 4472 5 M ( 75 , 9747 ) ( 81 , 9025 ) M M 24375 6441 1 M M 9 1 285 5 19 57 3 275 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5632 855 ( 675 , 1083 ) 204 879 M 4 3 18 22 _____________________________________________________________________________ 5633 856 ( 2 , 366368 ) 5635 856 ( 8 , 91592 ) 5634 5636 5637 5638 5639 856 856 856 856 856 ( 4 , 183184 ) ( 16 , 45796 ) ( 32 , 22898 ) ( 214 , 3424 ) ( 428 , 1712 ) 183183 91590 45792 22890 11433 1605 642 183185 91594 M 45800 22906 1070 2 M 8 P 1 M 11465 1819 P M M 1 2 107 2 214 5 7 _____________________________________________________________________________ 5640 857 ( 1 , 734449 ) 367224 367225 P 1 1 0 1 _____________________________________________________________________________ 5641 858 ( 2 , 368082 ) 184040 5643 858 ( 18 , 40898 ) 20440 20458 M ( 26 , 28314 ) 14144 14170 M 5642 5644 5645 5646 5647 5648 5649 5650 5651 5652 858 858 858 858 858 858 858 858 858 858 ( 6 , 122694 ) ( 22 , 33462 ) ( 66 , 11154 ) ( 78 , 9438 ) ( 198 , 3718 ) ( 234 , 3146 ) ( 242 , 3042 ) ( 286 , 2574 ) ( 338 , 2178 ) 61344 16720 5544 4680 1760 1456 1400 1144 920 184042 61350 M 16742 5610 4758 1958 1690 1642 1430 1258 M 6 2 M M M M M M M M 22 26 66 78 22 26 2 286 2 2 276 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5653 858 ( 726 , 1014 ) 144 870 M 0 6 13 13 _____________________________________________________________________________ 5654 859 ( 1 , 737881 ) 368940 368941 P 1 1 0 1 _____________________________________________________________________________ 5655 860 ( 2 , 369800 ) 5657 860 ( 8 , 92450 ) 5656 5658 5659 5660 5661 5662 5663 5664 5665 5666 5667 860 860 860 860 860 860 860 860 860 860 860 ( 4 , 184900 ) ( 10 , 73960 ) ( 20 , 36980 ) ( 40 , 18490 ) ( 50 , 14792 ) ( 86 , 8600 ) ( 100 , 7396 ) ( 172 , 4300 ) ( 200 , 3698 ) ( 344 , 2150 ) ( 430 , 1720 ) 184899 92448 46221 36975 18480 9225 7371 4257 3648 2064 1749 903 645 184901 92452 M 46229 P 36985 9265 4343 3748 M 1247 1075 M 5 P 4 1 5 20 1 M 43 M 2236 1949 1 M 18500 7421 P 4 M 172 P 1 M 43 M 4 215 9 13 _____________________________________________________________________________ 5668 861 ( 1 , 741321 ) 370660 5670 861 ( 7 , 105903 ) 52948 5669 5671 5672 5673 861 861 861 861 ( 3 , 247107 ) 123552 370661 123555 52955 ( 9 , 82369 ) 41180 41189 ( 41 , 18081 ) 9020 9061 ( 21 , 35301 ) 17640 P 17661 M P M M 1 M 1 7 21 41 3 277 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5674 861 ( 49 , 15129 ) 7540 7589 P 5676 861 ( 123 , 6027 ) 2952 3075 M 1148 1435 M 5675 5677 5678 5679 5680 861 861 861 861 861 ( 63 , 11767 ) ( 147 , 5043 ) ( 287 , 2583 ) ( 369 , 2009 ) ( 441 , 1681 ) 5852 2448 820 620 5915 M 2595 1189 1061 1 7 123 M 3 287 M 41 P 4 1 9 13 _____________________________________________________________________________ 5681 862 ( 2 , 371522 ) 185760 185762 M 0 2 1 1 _____________________________________________________________________________ 5682 863 ( 1 , 744769 ) 372384 372385 P 1 1 0 1 _____________________________________________________________________________ 5683 864 ( 2 , 373248 ) 186623 5685 864 ( 6 , 124416 ) 62205 5684 5686 5687 5688 5689 5690 5691 5692 5693 5694 864 864 864 864 864 864 864 864 864 864 ( 4 , 186624 ) ( 8 , 93312 ) ( 12 , 62208 ) ( 16 , 46656 ) ( 18 , 41472 ) ( 24 , 31104 ) ( 32 , 23328 ) ( 36 , 20736 ) ( 48 , 15552 ) ( 54 , 13824 ) 93310 46652 31098 23320 20727 15540 11648 10350 7752 6885 186625 93314 62211 46660 31110 M M M M 23336 M 20745 M 15564 M 11680 10386 7800 6939 M M M M P 2 1 3 4 6 8 9 12 32 18 24 27 278 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5695 864 ( 64 , 11664 ) 5697 864 ( 96 , 7776 ) 5696 5698 5699 5700 5701 5702 5703 5704 5705 5706 5707 5708 5709 5710 5711 5712 5713 864 864 864 864 864 864 864 864 864 864 864 864 864 864 864 864 864 ( 72 , 10368 ) ( 108 , 6912 ) ( 128 , 5832 ) ( 144 , 5184 ) ( 162 , 4608 ) ( 192 , 3888 ) ( 216 , 3456 ) ( 256 , 2916 ) ( 288 , 2592 ) ( 324 , 2304 ) ( 384 , 1944 ) ( 432 , 1728 ) ( 486 , 1536 ) ( 512 , 1458 ) ( 576 , 1296 ) ( 648 , 1152 ) ( 768 , 972 ) 5800 5148 3840 3402 2852 2520 2223 1848 1620 1330 1152 5864 M 5220 8 M 3936 36 M 3510 96 M 2980 54 M 2664 4 M 2385 72 M 2040 9 M 1836 24 M 1586 108 M 1440 2 M 288 990 1314 M 18 648 1080 M 216 780 525 473 360 252 102 1164 M 1011 M 985 P 900 M 936 870 12 1 M 3 72 36 M 2 6 29 31 _____________________________________________________________________________ 5714 865 ( 1 , 748225 ) 374112 5716 865 ( 25 , 29929 ) 14952 5715 5717 865 865 ( 5 , 149645 ) ( 173 , 4325 ) 74820 2076 374113 74825 14977 2249 M M P P 5 1 1 2 173 2 4 _____________________________________________________________________________ 279 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5718 866 ( 2 , 374978 ) 187488 187490 M 0 2 1 1 _____________________________________________________________________________ 5719 867 ( 1 , 751689 ) 5721 867 ( 9 , 83521 ) 41756 41765 ( 51 , 14739 ) 7344 7395 5720 5722 5723 5724 5725 867 867 867 867 867 ( 3 , 250563 ) ( 17 , 44217 ) ( 153 , 4913 ) ( 289 , 2601 ) 375844 125280 22100 2380 1156 375845 P 125283 22117 P M 2533 1 M 1 M 17 51 M 1445 3 17 M 2 289 5 7 _____________________________________________________________________________ 5726 868 ( 2 , 376712 ) 5728 868 ( 8 , 94178 ) 5727 5729 5730 5731 5732 5733 5734 5735 5736 5737 5738 868 868 868 868 868 868 868 868 868 868 868 ( 4 , 188356 ) ( 14 , 53816 ) ( 28 , 26908 ) ( 56 , 13454 ) ( 62 , 12152 ) ( 98 , 7688 ) ( 124 , 6076 ) ( 196 , 3844 ) ( 248 , 3038 ) ( 392 , 1922 ) ( 434 , 1736 ) 188355 94176 47085 26901 13440 6699 6045 3795 2976 1824 1395 765 651 188357 94180 M 47093 P 26915 13468 6755 6107 3893 3100 2020 1643 1157 1085 P 1 M M M 7 M P 1 M M 7 28 31 124 4 M P M 4 1 1 4 31 217 9 13 _____________________________________________________________________________ 280 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5739 869 ( 1 , 755161 ) 5741 869 ( 79 , 9559 ) 5740 5742 869 869 ( 11 , 68651 ) ( 121 , 6241 ) 377580 34320 4740 3060 377581 34331 4819 3181 M M P P 1 79 2 11 1 2 4 _____________________________________________________________________________ 5743 870 ( 2 , 378450 ) 189224 5745 870 ( 10 , 75690 ) 37840 37850 M ( 30 , 25230 ) 12600 12630 M 5744 5746 5747 5748 5749 5750 5751 5752 5753 5754 5755 870 870 870 870 870 870 870 870 870 870 870 ( 6 , 126150 ) ( 18 , 42050 ) ( 50 , 15138 ) ( 58 , 13050 ) ( 90 , 8410 ) ( 150 , 5046 ) ( 174 , 4350 ) ( 290 , 2610 ) ( 450 , 1682 ) ( 522 , 1450 ) 63072 21016 7544 6496 4160 2448 2088 1160 616 464 189226 63078 M 21034 4250 2598 M 1450 1066 986 10 2 2 M 30 58 M 10 M 2262 2 6 M 7594 6554 M 6 M 174 M 290 M 2 M 0 58 13 13 _____________________________________________________________________________ 5756 871 ( 1 , 758641 ) 5758 871 ( 67 , 11323 ) 5757 5759 871 871 379320 ( 13 , 58357 ) 29172 ( 169 , 4489 ) 2160 5628 379321 29185 5695 2329 M P M P 1 13 67 2 1 2 4 _____________________________________________________________________________ 281 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5760 872 ( 2 , 380192 ) 5762 872 ( 8 , 95048 ) 5761 5763 5764 5765 5766 872 872 872 872 872 ( 4 , 190096 ) ( 16 , 47524 ) ( 32 , 23762 ) ( 218 , 3488 ) ( 436 , 1744 ) 190095 95046 47520 23754 11865 1635 654 190097 95050 M 47528 23770 1090 2 M 8 P 1 M 11897 1853 P M M 1 2 109 218 2 5 7 _____________________________________________________________________________ 5767 873 ( 1 , 762129 ) 5769 873 ( 9 , 84681 ) 42336 ( 81 , 9409 ) 4664 5768 5770 5771 5772 5773 873 873 873 873 873 ( 3 , 254043 ) ( 27 , 28227 ) ( 97 , 7857 ) ( 291 , 2619 ) 381064 127020 14100 3880 1164 381065 P 127023 42345 14127 4745 3977 1455 M P 1 M M 9 3 1 M 3 97 M 291 2 5 7 _____________________________________________________________________________ 5774 874 ( 2 , 381938 ) 5776 874 ( 46 , 16606 ) 5775 5777 874 874 190968 ( 38 , 20102 ) 10032 ( 722 , 1058 ) 168 8280 190970 10070 8326 890 M M M M 0 38 2 2 46 4 4 _____________________________________________________________________________ 5778 875 ( 1 , 765625 ) 382812 5780 875 ( 7 , 109375 ) 54684 5779 875 ( 5 , 153125 ) 76560 382813 76565 54691 M M P 5 7 1 282 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5781 875 ( 25 , 30625 ) 15300 5783 875 ( 49 , 15625 ) 7788 5782 5784 5785 5786 5787 875 875 875 875 875 ( 35 , 21875 ) ( 125 , 6125 ) ( 175 , 4375 ) ( 245 , 3125 ) ( 625 , 1225 ) 10920 15325 M 10955 7837 P 3000 3125 M 1440 1685 M 2100 300 2275 925 25 M 1 125 M M 35 175 5 2 25 8 10 _____________________________________________________________________________ 5788 876 ( 2 , 383688 ) 191843 5790 876 ( 6 , 127896 ) 63945 5789 5791 5792 5793 5794 5795 5796 5797 5798 5799 5800 876 876 876 876 876 876 876 876 876 876 876 ( 4 , 191844 ) ( 8 , 95922 ) ( 12 , 63948 ) ( 18 , 42632 ) ( 24 , 31974 ) ( 36 , 21316 ) ( 72 , 10658 ) ( 146 , 5256 ) ( 292 , 2628 ) ( 438 , 1752 ) ( 584 , 1314 ) 95920 47957 31968 21307 15975 10640 5293 2555 1168 657 365 191845 95924 M 63951 P 31980 P 15999 5365 P 2701 3 12 3 M 1 M 4 73 M 292 M M 1 1 M 10676 949 1 M 21325 1095 4 M 47965 1460 P 219 4 73 9 13 _____________________________________________________________________________ 5801 877 ( 1 , 769129 ) 384564 384565 P 1 0 1 1 _____________________________________________________________________________ 283 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5802 878 ( 2 , 385442 ) 192720 192722 M 0 2 1 1 _____________________________________________________________________________ 5803 879 ( 1 , 772641 ) 5805 879 ( 9 , 85849 ) 5804 5806 879 879 ( 3 , 257547 ) ( 293 , 2637 ) 386320 128772 42920 1172 386321 P 128775 42929 1465 P M 1 M 2 3 1 293 2 4 _____________________________________________________________________________ 5807 880 ( 2 , 387200 ) 5809 880 ( 8 , 96800 ) 5808 5810 5811 5812 5813 5814 5815 5816 5817 5818 5819 5820 5821 5822 5823 5824 880 880 880 880 880 880 880 880 880 880 880 880 880 880 880 880 ( 4 , 193600 ) ( 10 , 77440 ) ( 16 , 48400 ) ( 20 , 38720 ) ( 22 , 35200 ) ( 32 , 24200 ) ( 40 , 19360 ) ( 44 , 17600 ) ( 50 , 15488 ) ( 64 , 12100 ) ( 80 , 9680 ) ( 88 , 8800 ) ( 100 , 7744 ) ( 110 , 7040 ) ( 128 , 6050 ) ( 160 , 4840 ) 193599 96798 48396 38715 24192 19350 17589 12084 193601 96802 M 48404 24208 M 7719 7769 P 4800 4356 3822 3465 2961 2340 6082 4880 4444 3922 3575 3089 2500 10 M 9700 6018 16 M 17611 8822 5 M 19370 M M M M M M P M M 1 4 M 9660 8778 2 M 38725 12116 P 11 4 20 22 1 2 80 44 2 55 1 20 284 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5825 880 ( 176 , 4400 ) 2112 2288 M 176 5827 880 ( 220 , 3520 ) 1650 1870 M 110 5826 5828 5829 5830 5831 5832 5833 5834 5835 5836 5837 880 880 880 880 880 880 880 880 880 880 880 ( 200 , 3872 ) ( 242 , 3200 ) ( 320 , 2420 ) ( 352 , 2200 ) ( 400 , 1936 ) ( 440 , 1760 ) ( 484 , 1600 ) ( 550 , 1408 ) ( 640 , 1210 ) ( 704 , 1100 ) ( 800 , 968 ) 1836 2036 1479 M 1721 1050 4 P 1370 1 M 10 924 1276 M 44 660 1100 M 220 768 1168 558 1042 429 285 198 84 M 16 M 2 979 M 11 902 M 22 925 884 M M 5 4 4 27 31 _____________________________________________________________________________ 5838 881 ( 1 , 776161 ) 388080 388081 P 1 1 0 1 _____________________________________________________________________________ 5839 882 ( 2 , 388962 ) 194480 5841 882 ( 14 , 55566 ) 27776 ( 42 , 18522 ) 9240 5840 5842 5843 5844 5845 5846 5847 882 882 882 882 882 882 882 ( 6 , 129654 ) ( 18 , 43218 ) ( 54 , 14406 ) ( 98 , 7938 ) ( 126 , 6174 ) ( 162 , 4802 ) 64824 21600 7176 3920 3024 2320 194482 64830 M 27790 21618 9282 7230 4018 3150 2482 M 6 M M M M M M M 14 18 42 6 98 126 2 2 285 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5848 882 ( 294 , 2646 ) 1176 5850 882 ( 686 , 1134 ) 224 5849 882 ( 378 , 2058 ) 840 1470 1218 910 M 294 M 42 M 0 14 12 12 _____________________________________________________________________________ 5851 883 ( 1 , 779689 ) 389844 389845 P 1 1 0 1 _____________________________________________________________________________ 5852 884 ( 2 , 390728 ) 5854 884 ( 8 , 97682 ) 5853 5855 5856 5857 5858 5859 5860 5861 5862 5863 5864 884 884 884 884 884 884 884 884 884 884 884 ( 4 , 195364 ) ( 26 , 30056 ) ( 34 , 22984 ) ( 52 , 15028 ) ( 68 , 11492 ) ( 104 , 7514 ) ( 136 , 5746 ) ( 338 , 2312 ) ( 442 , 1768 ) ( 578 , 1352 ) ( 676 , 1156 ) 195363 97680 48837 15015 11475 195365 97684 M 48845 P 15041 11509 7540 M 3705 3809 M 2805 5780 2941 987 1325 387 965 663 240 1105 916 1 M 7488 5712 P M 4 1 13 17 52 M 68 13 M P 1 M P 1 M 4 4 17 221 9 13 _____________________________________________________________________________ 5865 885 ( 1 , 783225 ) 391612 5867 885 ( 5 , 156645 ) 78320 5866 5868 885 885 ( 3 , 261075 ) ( 9 , 87025 ) 130536 43508 391613 130539 78325 43517 P M P 1 M 1 5 3 286 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5869 885 ( 15 , 52215 ) 26100 5871 885 ( 45 , 17405 ) 8680 8725 M 5184 5259 M 5870 5872 5873 5874 5875 5876 5877 885 885 885 885 885 885 885 ( 25 , 31329 ) ( 59 , 13275 ) ( 75 , 10443 ) ( 177 , 4425 ) ( 225 , 3481 ) ( 295 , 2655 ) ( 531 , 1475 ) 15652 6608 26115 M 15677 6667 2301 M 1180 1475 M 472 1853 1003 P 5 M 2124 1628 15 1 59 3 177 P 1 295 M 4 59 9 13 _____________________________________________________________________________ 5878 886 ( 2 , 392498 ) 196248 196250 M 0 2 1 1 _____________________________________________________________________________ 5879 887 ( 1 , 786769 ) 393384 393385 P 1 1 0 1 _____________________________________________________________________________ 5880 888 ( 2 , 394272 ) 197135 5882 888 ( 6 , 131424 ) 65709 5881 5883 5884 5885 5886 5887 5888 5889 888 888 888 888 888 888 888 888 ( 4 , 197136 ) ( 8 , 98568 ) ( 12 , 65712 ) ( 16 , 49284 ) ( 18 , 43808 ) ( 24 , 32856 ) ( 32 , 24642 ) ( 36 , 21904 ) 98566 49280 32850 24634 21895 16416 12305 10934 197137 98570 65715 49288 32862 24650 21913 16440 12337 10970 M M M M M P 2 3 8 6 2 P 1 P 1 M M 1 24 2 287 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5890 888 ( 48 , 16428 ) 8190 8238 M 6 5892 888 ( 74 , 10656 ) 5291 5365 M 37 5891 5893 5894 5895 5896 5897 5898 5899 5900 5901 888 888 888 888 888 888 888 888 888 888 ( 72 , 10952 ) ( 96 , 8214 ) ( 144 , 5476 ) ( 148 , 5328 ) ( 222 , 3552 ) ( 288 , 2738 ) ( 296 , 2664 ) ( 444 , 1776 ) ( 592 , 1332 ) ( 666 , 1184 ) 5440 4059 2666 2590 1665 1225 1184 5512 4155 2810 259 925 962 2 M 74 M 1513 1110 3 M 1887 1480 8 M 2738 666 370 M 111 P 1 M 296 M 222 M 74 M 4 37 18 22 _____________________________________________________________________________ 5902 889 ( 1 , 790321 ) 395160 5904 889 ( 49 , 16129 ) 8040 5903 5905 889 889 ( 7 , 112903 ) ( 127 , 6223 ) 56448 3048 395161 56455 8089 3175 P M M P 1 2 7 1 127 2 4 _____________________________________________________________________________ 5906 890 ( 2 , 396050 ) 5908 890 ( 50 , 15842 ) 5907 5909 890 890 198024 ( 10 , 79210 ) 39600 ( 178 , 4450 ) 2136 7896 198026 39610 7946 2314 M M M M 2 0 10 178 4 2 4 _____________________________________________________________________________ 5910 891 ( 1 , 793881 ) 396940 396941 P 1 288 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5911 891 ( 3 , 264627 ) 5913 891 ( 11 , 72171 ) 5912 5914 5915 5916 5917 5918 5919 5920 5921 5922 891 891 891 891 891 891 891 891 891 891 ( 9 , 88209 ) ( 27 , 29403 ) ( 33 , 24057 ) ( 81 , 9801 ) ( 99 , 8019 ) ( 121 , 6561 ) ( 243 , 3267 ) ( 297 , 2673 ) ( 363 , 2187 ) ( 729 , 1089 ) 132312 44100 36080 14688 12012 4860 3960 3220 1512 1188 912 180 132315 44109 M 36091 4941 4059 3341 1275 909 27 M 81 M 33 99 P 1755 1485 11 M M 3 9 M 14715 12045 M 1 M 27 M 297 M M 2 9 3 11 13 _____________________________________________________________________________ 5923 892 ( 2 , 397832 ) 5925 892 ( 8 , 99458 ) 5924 5926 892 892 ( 4 , 198916 ) ( 446 , 1784 ) 198915 99456 49725 669 198917 99460 49733 1115 M M P P 1 2 4 1 223 2 4 _____________________________________________________________________________ 5927 893 ( 1 , 797449 ) 5929 893 ( 47 , 16967 ) 5928 5930 893 893 398724 ( 19 , 41971 ) 20976 ( 361 , 2209 ) 924 8460 398725 20995 8507 1285 M P M P 2 1 19 1 47 2 4 _____________________________________________________________________________ 5931 894 ( 2 , 399618 ) 199808 199810 M 2 289 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5932 894 ( 6 , 133206 ) 5934 894 ( 298 , 2682 ) 5933 894 ( 18 , 44402 ) 66600 22192 1192 66606 M 22210 1490 M 6 M 2 0 298 4 4 _____________________________________________________________________________ 5935 895 ( 1 , 801025 ) 400512 5937 895 ( 25 , 32041 ) 16008 5936 5938 895 895 ( 5 , 160205 ) ( 179 , 4475 ) 80100 2148 400513 80105 16033 2327 M M P 5 P 1 1 2 179 2 4 _____________________________________________________________________________ 5939 896 ( 2 , 401408 ) 200703 5941 896 ( 8 , 100352 ) 50172 5940 5942 5943 5944 5945 5946 5947 5948 5949 5950 5951 5952 5953 5954 896 896 896 896 896 896 896 896 896 896 896 896 896 896 ( 4 , 200704 ) 100350 200705 P 100354 50180 M ( 14 , 57344 ) 28665 28679 M ( 28 , 28672 ) 14322 14350 M ( 16 , 50176 ) ( 32 , 25088 ) ( 56 , 14336 ) ( 64 , 12544 ) ( 98 , 8192 ) ( 112 , 7168 ) ( 128 , 6272 ) ( 196 , 4096 ) ( 224 , 3584 ) ( 256 , 3136 ) ( 392 , 2048 ) 25080 12528 7140 6240 4047 3528 3072 1950 1680 1440 828 25096 12560 7196 6304 4145 3640 3200 2146 1904 1696 1220 1 M 4 7 M M M P M M M M M M 8 14 M 16 28 1 32 56 128 2 112 32 4 2 290 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 5955 896 ( 448 , 1792 ) 672 1120 5957 896 ( 784 , 1024 ) 120 904 5956 896 ( 512 , 1568 ) 528 M 1040 224 M M 8 2 16 17 19 _____________________________________________________________________________ 5958 897 ( 1 , 804609 ) 5960 897 ( 9 , 89401 ) 5959 5961 5962 5963 5964 5965 5966 5967 5968 5969 5970 897 897 897 897 897 897 897 897 897 897 897 ( 3 , 268203 ) ( 13 , 61893 ) ( 23 , 34983 ) ( 39 , 20631 ) ( 69 , 11661 ) ( 117 , 6877 ) ( 169 , 4761 ) ( 207 , 3887 ) ( 299 , 2691 ) ( 507 , 1587 ) ( 529 , 1521 ) 402304 134100 44696 30940 402305 P 134103 44705 P 30953 17480 5865 M 3380 3497 M 1840 2047 M 2296 2465 1196 540 496 M 69 13 1 23 299 M 1025 13 39 M 1047 3 23 P 1495 1 M 10335 5796 M M 17503 10296 1 3 P 1 4 9 13 _____________________________________________________________________________ 5971 898 ( 2 , 403202 ) 201600 201602 M 0 2 1 1 _____________________________________________________________________________ 5972 899 ( 1 , 808201 ) 5974 899 ( 31 , 26071 ) 5973 5975 899 899 ( 29 , 27869 ) ( 841 , 961 ) 404100 13920 13020 60 901 404101 13949 13051 P M M P 1 29 1 31 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 291 2 2 4 _____________________________________________________________________________ 5976 900 ( 2 , 405000 ) 202499 5978 900 ( 6 , 135000 ) 67497 67503 M ( 10 , 81000 ) 40495 40505 M ( 18 , 45000 ) 22491 22509 M 5977 5979 5980 5981 5982 5983 5984 5985 5986 5987 5988 5989 5990 5991 5992 5993 5994 5995 5996 5997 5998 5999 6000 900 900 900 900 900 900 900 900 900 900 900 900 900 900 900 900 900 900 900 900 900 900 900 ( 4 , 202500 ) ( 8 , 101250 ) ( 12 , 67500 ) ( 20 , 40500 ) ( 24 , 33750 ) ( 30 , 27000 ) ( 36 , 22500 ) ( 40 , 20250 ) ( 50 , 16200 ) ( 54 , 15000 ) ( 60 , 13500 ) ( 72 , 11250 ) ( 90 , 9000 ) ( 100 , 8100 ) ( 108 , 7500 ) ( 120 , 6750 ) ( 150 , 5400 ) ( 162 , 5000 ) ( 180 , 4500 ) ( 200 , 4050 ) ( 216 , 3750 ) 101248 50621 33744 20240 16863 13485 11232 10105 202501 P 101252 50629 20260 13515 6720 6780 M 4000 3696 3315 2625 2419 2160 1925 1767 4545 4100 3804 3435 2775 2581 2340 2125 1983 9 20 3 15 M M 4455 12 M 11268 5661 5 M 8125 5589 1 M 16887 7527 3 M 8075 7473 M P 33756 10145 1 M M M M M M M P M M M M 36 5 25 3 60 9 45 100 12 15 75 1 180 25 3 4 292 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6001 900 ( 250 , 3240 ) 1495 1745 M 5 6003 900 ( 300 , 2700 ) 1200 1500 M 300 6002 6004 6005 6006 6007 6008 6009 6010 6011 6012 900 900 900 900 900 900 900 900 900 900 ( 270 , 3000 ) ( 324 , 2500 ) ( 360 , 2250 ) ( 450 , 1800 ) ( 500 , 1620 ) ( 540 , 1500 ) ( 600 , 1350 ) ( 648 , 1250 ) ( 750 , 1080 ) ( 810 , 1000 ) 1365 1088 1635 M 1412 15 M 4 945 1305 M 45 560 1060 M 20 675 480 375 301 165 95 1125 M 1020 M 975 M 915 M 949 905 225 60 75 P 1 M 5 15 4 33 37 _____________________________________________________________________________ 6013 901 ( 1 , 811801 ) 6015 901 ( 53 , 15317 ) 6014 6016 901 901 405900 ( 17 , 47753 ) 23868 ( 289 , 2809 ) 1260 7632 405901 23885 7685 M 1549 M P P 1 17 53 2 1 2 4 _____________________________________________________________________________ 6017 902 ( 2 , 406802 ) 6019 902 ( 82 , 9922 ) 6018 6020 902 902 ( 22 , 36982 ) ( 242 , 3362 ) 203400 18480 4920 1560 203402 18502 5002 1802 M M M M 82 0 2 4 22 2 4 _____________________________________________________________________________ 6021 903 ( 1 , 815409 ) 407704 407705 P 1 293 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6022 903 ( 3 , 271803 ) 6024 903 ( 9 , 90601 ) 45296 45305 ( 43 , 18963 ) 9460 9503 M 6440 6503 M 6023 6025 6026 6027 6028 6029 6030 6031 6032 6033 903 903 903 903 903 903 903 903 903 903 ( 7 , 116487 ) ( 21 , 38829 ) ( 49 , 16641 ) ( 63 , 12943 ) ( 129 , 6321 ) ( 147 , 5547 ) ( 301 , 2709 ) ( 387 , 2107 ) ( 441 , 1849 ) 135900 58240 19404 8296 135903 58247 M P 19425 8345 3225 M 1204 1505 M 860 704 2847 1247 1145 1 M 3 7 21 43 P 3096 2700 M 1 7 129 M 3 301 M 43 P 4 1 9 13 _____________________________________________________________________________ 6034 904 ( 2 , 408608 ) 204303 6036 904 ( 8 , 102152 ) 51072 6035 6037 6038 6039 6040 904 904 904 904 904 ( 4 , 204304 ) 102150 ( 16 , 51076 ) 25530 ( 226 , 3616 ) 1695 ( 32 , 25538 ) ( 452 , 1808 ) 12753 678 204305 P 102154 51080 M 25546 1130 M 8 M 12785 1921 1 M 2 P M 2 1 113 2 226 5 7 _____________________________________________________________________________ 6041 905 ( 1 , 819025 ) 409512 6043 905 ( 25 , 32761 ) 16368 6042 6044 905 905 ( 5 , 163805 ) ( 181 , 4525 ) 81900 2172 409513 81905 16393 2353 M M P P 5 1 181 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 294 2 2 4 _____________________________________________________________________________ 6045 906 ( 2 , 410418 ) 205208 6047 906 ( 18 , 45602 ) 22792 6046 6048 906 906 ( 6 , 136806 ) ( 302 , 2718 ) 68400 1208 205210 68406 22810 1510 M M M M 6 2 2 0 302 4 4 _____________________________________________________________________________ 6049 907 ( 1 , 822649 ) 411324 411325 P 1 1 0 1 _____________________________________________________________________________ 6050 908 ( 2 , 412232 ) 206115 6052 908 ( 8 , 103058 ) 51525 6051 6053 908 908 ( 4 , 206116 ) ( 454 , 1816 ) 103056 681 206117 P 103060 51533 1135 P M 1 M 2 1 227 2 4 4 _____________________________________________________________________________ 6054 909 ( 1 , 826281 ) 6056 909 ( 9 , 91809 ) 45900 45909 ( 81 , 10201 ) 5060 5141 6055 6057 6058 6059 6060 909 909 909 909 909 ( 3 , 275427 ) ( 27 , 30603 ) ( 101 , 8181 ) ( 303 , 2727 ) 413140 137712 15288 4040 1212 413141 137715 15315 4141 1515 P M P M M 9 1 M M 1 3 3 101 2 303 5 7 _____________________________________________________________________________ 6061 910 ( 2 , 414050 ) 207024 207026 M 2 295 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6062 910 ( 10 , 82810 ) 41400 41410 M 10 6064 910 ( 26 , 31850 ) 15912 15938 M 26 6063 6065 6066 6067 6068 6069 6070 6071 6072 6073 910 910 910 910 910 910 910 910 910 910 ( 14 , 59150 ) ( 50 , 16562 ) ( 70 , 11830 ) ( 98 , 8450 ) ( 130 , 6370 ) ( 182 , 4550 ) ( 338 , 2450 ) ( 350 , 2366 ) ( 490 , 1690 ) ( 650 , 1274 ) 29568 8256 5880 4176 3120 2184 1056 1008 600 312 29582 M 8306 5950 4274 3250 M 962 70 M 2 M 130 M 1394 1090 2 M 2366 1358 14 182 M 2 M 14 M 10 M 0 26 13 13 _____________________________________________________________________________ 6074 911 ( 1 , 829921 ) 414960 414961 P 1 1 0 1 _____________________________________________________________________________ 6075 912 ( 2 , 415872 ) 207935 6077 912 ( 6 , 138624 ) 69309 69315 M ( 12 , 69312 ) 34650 34662 M ( 18 , 46208 ) 23095 23113 P 6076 6078 6079 6080 6081 6082 6083 6084 912 912 912 912 912 912 912 912 ( 4 , 207936 ) ( 8 , 103968 ) ( 16 , 51984 ) ( 24 , 34656 ) ( 32 , 25992 ) ( 36 , 23104 ) 103966 51980 25984 17316 12980 11534 207937 103970 51988 26000 17340 13012 11570 P M M M M M M 1 3 4 6 16 1 12 4 2 2 296 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6085 912 ( 38 , 21888 ) 10925 6087 912 ( 64 , 12996 ) 6466 6086 6088 6089 6090 6091 6092 6093 6094 6095 6096 6097 6098 6099 6100 6101 6102 6103 6104 6105 912 912 912 912 912 912 912 912 912 912 912 912 912 912 912 912 912 912 912 ( 48 , 17328 ) ( 72 , 11552 ) ( 76 , 10944 ) ( 96 , 8664 ) ( 114 , 7296 ) ( 128 , 6498 ) ( 144 , 5776 ) ( 152 , 5472 ) ( 192 , 4332 ) ( 228 , 3648 ) ( 288 , 2888 ) ( 304 , 2736 ) ( 342 , 2432 ) ( 384 , 2166 ) ( 456 , 1824 ) ( 576 , 1444 ) ( 608 , 1368 ) ( 684 , 1216 ) ( 722 , 1152 ) 10963 8640 8688 M 5740 5812 M 5434 4284 3591 3185 2816 2660 2070 1710 1300 1216 1045 6530 5510 4380 3705 19 48 M 2 4 M 38 M 12 M 3313 57 P 2960 1 M 2812 16 M 2262 76 M 1938 6 M 1588 114 M 1520 1387 M 4 M 304 M 19 891 1275 M 3 434 1010 M 2 684 380 266 215 1140 M 988 M 937 P 950 228 76 M 38 4 1 27 31 _____________________________________________________________________________ 6106 913 ( 1 , 833569 ) 6108 913 ( 83 , 10043 ) 6107 6109 913 913 416784 ( 11 , 75779 ) 37884 ( 121 , 6889 ) 3384 4980 416785 37895 5063 3505 M P M P 1 11 83 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 297 2 2 4 _____________________________________________________________________________ 6110 914 ( 2 , 417698 ) 208848 208850 M 0 2 1 1 _____________________________________________________________________________ 6111 915 ( 1 , 837225 ) 418612 6113 915 ( 5 , 167445 ) 83720 6112 6114 6115 6116 6117 6118 6119 6120 6121 6122 6123 915 915 915 915 915 915 915 915 915 915 915 ( 3 , 279075 ) ( 9 , 93025 ) ( 15 , 55815 ) ( 25 , 33489 ) ( 45 , 18605 ) ( 61 , 13725 ) ( 75 , 11163 ) ( 183 , 4575 ) ( 225 , 3721 ) ( 305 , 2745 ) ( 549 , 1525 ) 139536 46508 27900 16732 418613 P 139539 83725 M 46517 27915 16757 M 5544 5619 M 6893 2379 M 1220 1525 M 1973 1037 P 5 M 2196 488 1 M 9325 1748 M P 9280 6832 1 3 5 15 1 61 3 183 P 1 305 M 4 61 9 13 _____________________________________________________________________________ 6124 916 ( 2 , 419528 ) 209763 6126 916 ( 8 , 104882 ) 52437 6125 6127 916 916 ( 4 , 209764 ) ( 458 , 1832 ) 104880 687 209765 104884 52445 1145 M P P 1 M 2 1 229 2 4 4 _____________________________________________________________________________ 6128 917 ( 1 , 840889 ) 420444 420445 P 1 298 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6129 917 ( 7 , 120127 ) 6131 917 ( 131 , 6419 ) 6130 917 ( 49 , 17161 ) 60060 8556 3144 60067 8605 P 3275 M M 1 2 7 131 2 4 _____________________________________________________________________________ 6132 918 ( 2 , 421362 ) 210680 6134 918 ( 18 , 46818 ) 23400 ( 54 , 15606 ) 7776 6133 6135 6136 6137 6138 6139 6140 6141 918 918 918 918 918 918 918 918 ( 6 , 140454 ) ( 34 , 24786 ) ( 102 , 8262 ) ( 162 , 5202 ) ( 306 , 2754 ) ( 486 , 1734 ) ( 578 , 1458 ) 70224 12376 210682 70230 M 23418 12410 7830 M 4182 M 1224 1530 M 624 440 2682 1110 1018 2 6 M 4080 2520 M 18 M 34 54 102 M 18 306 M 6 M 0 2 10 10 _____________________________________________________________________________ 6142 919 ( 1 , 844561 ) 422280 422281 P 1 1 0 1 _____________________________________________________________________________ 6143 920 ( 2 , 423200 ) 211599 6145 920 ( 8 , 105800 ) 52896 6144 6146 6147 6148 6149 920 920 920 920 920 ( 4 , 211600 ) 105798 211601 105802 52904 P M ( 10 , 84640 ) 42315 42325 M ( 20 , 42320 ) 21150 21170 M ( 16 , 52900 ) ( 32 , 26450 ) 26442 13209 26458 13241 M P M 1 8 5 2 10 1 2 299 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6150 920 ( 40 , 21160 ) 10560 6152 920 ( 50 , 16928 ) 8439 6151 6153 6154 6155 6156 6157 6158 6159 6160 6161 6162 6163 6164 920 920 920 920 920 920 920 920 920 920 920 920 920 ( 46 , 18400 ) ( 80 , 10580 ) ( 92 , 9200 ) ( 100 , 8464 ) ( 160 , 5290 ) ( 184 , 4600 ) ( 200 , 4232 ) ( 230 , 3680 ) ( 368 , 2300 ) ( 400 , 2116 ) ( 460 , 1840 ) ( 736 , 1150 ) ( 800 , 1058 ) 10600 9177 9223 M 5250 5330 M 4554 4182 2565 2208 2016 1725 8489 4646 4282 40 23 P 1 10 M 46 M 2725 2 M 2392 5 M 2216 1955 M 184 M 8 M 115 966 1334 M 46 690 1150 M 230 858 207 129 1258 943 929 M 2 M 23 P 4 1 18 22 _____________________________________________________________________________ 6165 921 ( 1 , 848241 ) 6167 921 ( 9 , 94249 ) 6166 6168 921 921 ( 3 , 282747 ) ( 307 , 2763 ) 424120 141372 47120 1228 424121 141375 47129 1535 P P M 1 M 2 1 307 2 3 4 _____________________________________________________________________________ 6169 922 ( 2 , 425042 ) 212520 212522 M 0 1 2 1 _____________________________________________________________________________ 6170 923 ( 1 , 851929 ) 425964 425965 P 1 300 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6171 923 ( 13 , 65533 ) 32760 6173 923 ( 169 , 5041 ) 2436 6172 923 ( 71 , 11999 ) 5964 32773 6035 M 2605 M P 13 71 2 1 2 4 _____________________________________________________________________________ 6174 924 ( 2 , 426888 ) 213443 6176 924 ( 6 , 142296 ) 71145 71151 M ( 12 , 71148 ) 35568 35580 M ( 18 , 47432 ) 23707 23725 P 6175 6177 6178 6179 6180 6181 6182 6183 6184 6185 6186 6187 6188 6189 6190 6191 6192 6193 6194 6195 924 924 924 924 924 924 924 924 924 924 924 924 924 924 924 924 924 924 924 924 ( 4 , 213444 ) ( 8 , 106722 ) ( 14 , 60984 ) ( 22 , 38808 ) ( 24 , 35574 ) ( 28 , 30492 ) ( 36 , 23716 ) ( 42 , 20328 ) ( 44 , 19404 ) ( 56 , 15246 ) ( 66 , 12936 ) ( 72 , 11858 ) ( 84 , 10164 ) ( 88 , 9702 ) ( 98 , 8712 ) ( 126 , 6776 ) ( 132 , 6468 ) ( 154 , 5544 ) 106720 53357 30485 19393 17775 15232 11840 10143 213445 P 106724 53365 19415 15260 6435 6501 M 4807 4307 3325 3168 2695 5124 4895 4405 3451 3300 2849 1 11 3 28 M M 5040 7 M 11876 5965 12 M 9724 5893 1 M 17799 7651 3 M 9680 7595 M P 30499 10185 1 4 M 21 44 M P M M P M M M 7 33 1 84 11 1 7 132 77 4 301 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6196 924 ( 168 , 5082 ) 2457 2625 M 21 6198 924 ( 198 , 4312 ) 2057 2255 M 11 6197 6199 6200 6201 6202 6203 6204 6205 6206 6207 6208 6209 6210 6211 6212 6213 924 924 924 924 924 924 924 924 924 924 924 924 924 924 924 924 ( 196 , 4356 ) ( 242 , 3528 ) ( 252 , 3388 ) ( 264 , 3234 ) ( 294 , 2904 ) ( 308 , 2772 ) ( 392 , 2178 ) ( 396 , 2156 ) ( 462 , 1848 ) ( 484 , 1764 ) ( 504 , 1694 ) ( 588 , 1452 ) ( 616 , 1386 ) ( 726 , 1176 ) ( 792 , 1078 ) ( 882 , 968 ) 2080 2276 1643 M 1885 1568 P 1820 1485 1285 P 693 1155 M 1276 385 143 43 925 7 12 M 951 935 4 M 1001 225 231 M 1020 M P 308 44 M 1099 432 1 M 1124 595 3 M 893 640 33 M 1540 880 28 M 1599 1232 1 M 1749 1305 4 3 M 8 1 77 11 32 40 _____________________________________________________________________________ 6214 925 ( 1 , 855625 ) 427812 6216 925 ( 25 , 34225 ) 17100 ( 125 , 6845 ) 3360 6215 6217 6218 6219 6220 925 925 925 925 925 ( 5 , 171125 ) ( 37 , 23125 ) ( 185 , 4625 ) ( 625 , 1369 ) 85560 11544 2220 372 427813 85565 M 17125 3485 997 5 M 11581 2405 P M P M 1 25 M 5 1 37 185 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 302 2 5 7 _____________________________________________________________________________ 6221 926 ( 2 , 428738 ) 214368 214370 M 0 2 1 1 _____________________________________________________________________________ 6222 927 ( 1 , 859329 ) 6224 927 ( 9 , 95481 ) 47736 47745 ( 81 , 10609 ) 5264 5345 6223 6225 6226 6227 6228 927 927 927 927 927 ( 3 , 286443 ) ( 27 , 31827 ) ( 103 , 8343 ) ( 309 , 2781 ) 429664 143220 15900 4120 1236 429665 P 143223 15927 M P 4223 M M 3 9 1 M 1545 1 3 103 M 2 309 5 7 _____________________________________________________________________________ 6229 928 ( 2 , 430592 ) 215295 6231 928 ( 8 , 107648 ) 53820 6230 6232 6233 6234 6235 6236 6237 6238 6239 6240 6241 928 928 928 928 928 928 928 928 928 928 928 ( 4 , 215296 ) 107646 215297 P 107650 53828 M ( 16 , 53824 ) 26904 ( 58 , 14848 ) 7395 7453 M 3654 3770 M 1740 1972 M ( 32 , 26912 ) ( 64 , 13456 ) ( 116 , 7424 ) ( 128 , 6728 ) ( 232 , 3712 ) ( 256 , 3364 ) ( 464 , 1856 ) ( 512 , 1682 ) 13440 6696 3300 1554 696 585 26920 13472 6760 3428 1810 1160 1097 1 M 4 M 8 M 32 29 M 8 58 M M M P 4 116 2 232 1 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 303 2 11 13 _____________________________________________________________________________ 6242 929 ( 1 , 863041 ) 431520 431521 P 1 1 0 1 _____________________________________________________________________________ 6243 930 ( 2 , 432450 ) 216224 6245 930 ( 10 , 86490 ) 43240 43250 M ( 30 , 28830 ) 14400 14430 M 6244 6246 6247 6248 6249 6250 6251 6252 6253 6254 6255 930 930 930 930 930 930 930 930 930 930 930 ( 6 , 144150 ) ( 18 , 48050 ) ( 50 , 17298 ) ( 62 , 13950 ) ( 90 , 9610 ) ( 150 , 5766 ) ( 186 , 4650 ) ( 310 , 2790 ) ( 450 , 1922 ) ( 558 , 1550 ) 72072 24016 8624 6944 4760 2808 2232 1240 736 496 216226 72078 M 24034 4850 2958 M 1550 1186 1054 10 2 2 M 30 62 M 10 M 2418 2 6 M 8674 7006 M 6 M 186 M 310 M 2 M 0 62 13 13 _____________________________________________________________________________ 6256 931 ( 1 , 866761 ) 433380 6258 931 ( 19 , 45619 ) 22800 ( 133 , 6517 ) 3192 3325 M 1020 1381 P 6257 6259 6260 6261 6262 931 931 931 931 931 ( 7 , 123823 ) ( 49 , 17689 ) ( 343 , 2527 ) ( 361 , 2401 ) 61908 8820 1092 433381 61915 22819 8869 1435 M M M M P 7 1 19 49 133 7 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 304 2 5 7 _____________________________________________________________________________ 6263 932 ( 2 , 434312 ) 217155 6265 932 ( 8 , 108578 ) 54285 6264 6266 932 932 ( 4 , 217156 ) ( 466 , 1864 ) 108576 699 217157 P 108580 54293 1165 P M 1 M 2 4 1 233 2 4 _____________________________________________________________________________ 6267 933 ( 1 , 870489 ) 6269 933 ( 9 , 96721 ) 6268 6270 933 933 ( 3 , 290163 ) ( 311 , 2799 ) 435244 145080 48356 1244 435245 145083 48365 1555 P P M 1 M 2 3 1 311 2 4 _____________________________________________________________________________ 6271 934 ( 2 , 436178 ) 218088 218090 M 0 2 1 1 _____________________________________________________________________________ 6272 935 ( 1 , 874225 ) 437112 6274 935 ( 11 , 79475 ) 39732 39743 M ( 25 , 34969 ) 17472 17497 P 6273 6275 6276 6277 6278 6279 6280 6281 935 935 935 935 935 935 935 935 ( 5 , 174845 ) ( 17 , 51425 ) ( 55 , 15895 ) ( 85 , 10285 ) ( 121 , 7225 ) ( 187 , 4675 ) ( 275 , 3179 ) 87420 25704 437113 87425 M 25721 7975 M 3552 3673 P 1452 1727 M 2244 5185 2431 5 M M 1 11 M 7920 5100 P 17 1 55 85 1 187 11 305 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6282 935 ( 289 , 3025 ) 1368 6284 935 ( 605 , 1445 ) 420 6283 935 ( 425 , 2057 ) 816 1657 1241 1025 P 1 M 17 M 4 5 9 13 _____________________________________________________________________________ 6285 936 ( 2 , 438048 ) 219023 6287 936 ( 6 , 146016 ) 73005 73011 M ( 12 , 73008 ) 36498 36510 M ( 18 , 48672 ) 24327 24345 M 6286 6288 6289 6290 6291 6292 6293 6294 6295 6296 6297 6298 6299 6300 6301 6302 6303 6304 6305 6306 936 936 936 936 936 936 936 936 936 936 936 936 936 936 936 936 936 936 936 936 ( 4 , 219024 ) ( 8 , 109512 ) ( 16 , 54756 ) ( 24 , 36504 ) ( 26 , 33696 ) ( 32 , 27378 ) ( 36 , 24336 ) ( 48 , 18252 ) ( 52 , 16848 ) ( 54 , 16224 ) ( 72 , 12168 ) ( 78 , 11232 ) ( 96 , 9126 ) ( 104 , 8424 ) ( 108 , 8112 ) ( 144 , 6084 ) ( 156 , 5616 ) ( 162 , 5408 ) 109510 54752 27370 18240 16835 13673 12150 219025 P 109514 54760 18264 13705 8085 8139 M 5577 4515 4160 4002 2970 2730 2623 5655 4611 4264 4110 3114 2886 2785 2 9 24 13 P M 6120 6 M 9150 6048 8 M 16861 8450 3 M 9102 8398 M M 27386 12186 1 M M M M M M M M P M 1 6 18 26 3 72 39 3 104 6 18 78 1 2 306 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6307 936 ( 208 , 4212 ) 2002 2210 M 26 6309 936 ( 234 , 3744 ) 1755 1989 M 117 6308 6310 6311 6312 6313 6314 6315 6316 6317 6318 6319 6320 6321 936 936 936 936 936 936 936 936 936 936 936 936 936 ( 216 , 4056 ) ( 288 , 3042 ) ( 312 , 2808 ) ( 324 , 2704 ) ( 338 , 2592 ) ( 416 , 2106 ) ( 432 , 2028 ) ( 468 , 1872 ) ( 624 , 1404 ) ( 648 , 1352 ) ( 676 , 1296 ) ( 702 , 1248 ) ( 864 , 1014 ) 1920 1377 1248 1190 1127 2136 M 1665 24 M 1560 9 M 1514 312 M 1465 2 P 1 845 1261 M 13 702 1170 M 234 798 390 352 310 273 75 1230 M 1014 M 1000 939 78 M 986 975 6 M 2 M 8 39 M 4 3 33 37 _____________________________________________________________________________ 6322 937 ( 1 , 877969 ) 438984 438985 P 1 1 0 1 _____________________________________________________________________________ 6323 938 ( 2 , 439922 ) 6325 938 ( 98 , 8978 ) 6324 6326 938 938 ( 14 , 62846 ) ( 134 , 6566 ) 219960 31416 4440 3216 219962 31430 4538 3350 M M M M 2 0 14 134 4 2 4 _____________________________________________________________________________ 6327 939 ( 1 , 881721 ) 440860 440861 P 1 307 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6328 939 ( 3 , 293907 ) 6330 939 ( 313 , 2817 ) 6329 939 ( 9 , 97969 ) 146952 48980 1252 146955 48989 1565 P M M 2 3 1 313 2 4 _____________________________________________________________________________ 6331 940 ( 2 , 441800 ) 220899 6333 940 ( 8 , 110450 ) 55221 6332 6334 6335 6336 6337 6338 6339 6340 6341 6342 6343 940 940 940 940 940 940 940 940 940 940 940 ( 4 , 220900 ) 110448 220901 P 110452 55229 P ( 10 , 88360 ) 44175 44185 M ( 40 , 22090 ) 11025 11065 M ( 20 , 44180 ) ( 50 , 17672 ) ( 94 , 9400 ) ( 100 , 8836 ) ( 188 , 4700 ) ( 200 , 4418 ) ( 376 , 2350 ) ( 470 , 1880 ) 22080 8811 4653 4368 2256 2109 987 705 22100 8861 4747 4468 1363 1175 M P 4 1 5 M 20 1 M 5 47 M 2444 2309 1 4 M 188 P 1 M 47 M 4 235 9 13 _____________________________________________________________________________ 6344 941 ( 1 , 885481 ) 442740 442741 P 1 1 0 1 _____________________________________________________________________________ 6345 942 ( 2 , 443682 ) 221840 6347 942 ( 18 , 49298 ) 24640 6346 6348 942 942 ( 6 , 147894 ) ( 314 , 2826 ) 73944 1256 221842 73950 24658 1570 M M M M 6 2 314 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 308 0 4 4 _____________________________________________________________________________ 6349 943 ( 1 , 889249 ) 6351 943 ( 41 , 21689 ) 6350 6352 943 943 444624 ( 23 , 38663 ) 19320 ( 529 , 1681 ) 576 10824 444625 19343 10865 1105 M P M P 2 1 23 41 1 2 4 _____________________________________________________________________________ 6353 944 ( 2 , 445568 ) 222783 6355 944 ( 8 , 111392 ) 55692 6354 6356 6357 6358 6359 6360 6361 6362 944 944 944 944 944 944 944 944 ( 4 , 222784 ) 111390 ( 16 , 55696 ) 27840 ( 64 , 13924 ) 6930 ( 32 , 27848 ) ( 118 , 7552 ) ( 128 , 6962 ) ( 236 , 3776 ) ( 472 , 1888 ) 13908 222785 P 111394 55700 M 27856 13940 6994 M 3835 M 1770 2006 M 708 3545 1180 M 2 4 M 3717 3417 1 16 M 2 4 59 P 1 118 M 2 236 8 10 _____________________________________________________________________________ 6363 945 ( 1 , 893025 ) 446512 6365 945 ( 5 , 178605 ) 89300 6364 6366 6367 6368 6369 945 945 945 945 945 ( 3 , 297675 ) ( 7 , 127575 ) ( 9 , 99225 ) ( 15 , 59535 ) ( 21 , 42525 ) 148836 63784 49608 29760 21252 446513 148839 89305 63791 49617 29775 21273 P M M M M M M 1 5 7 9 15 21 3 309 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6370 945 ( 25 , 35721 ) 17848 17873 P 6372 945 ( 35 , 25515 ) 12740 12775 M 6371 6373 6374 6375 6376 6377 6378 6379 6380 6381 6382 6383 6384 6385 6386 6387 6388 6389 6390 6391 6392 6393 945 945 945 945 945 945 945 945 945 945 945 945 945 945 945 945 945 945 945 945 945 945 ( 27 , 33075 ) ( 45 , 19845 ) ( 49 , 18225 ) ( 63 , 14175 ) ( 75 , 11907 ) ( 81 , 11025 ) ( 105 , 8505 ) ( 135 , 6615 ) ( 147 , 6075 ) ( 175 , 5103 ) ( 189 , 4725 ) ( 225 , 3969 ) ( 243 , 3675 ) ( 245 , 3645 ) ( 315 , 2835 ) ( 405 , 2205 ) ( 441 , 2025 ) ( 525 , 1701 ) ( 567 , 1575 ) ( 675 , 1323 ) ( 729 , 1225 ) ( 735 , 1215 ) 16524 16551 M 9900 9945 M 7056 7119 M 9088 5916 5472 9137 5991 5553 2964 3111 M 1872 1716 1700 1260 3375 1 63 3 9 105 M 2639 135 3 M 2457 7 M 2097 189 M 1959 9 M 1945 1575 45 M M 2268 35 M 4305 2464 27 P 4200 3240 1 3 M 5 M 315 900 1305 M 45 588 1113 M 21 792 504 324 248 240 1233 1071 M M 999 M 975 M 977 9 63 27 P 1 4 15 27 31 _____________________________________________________________________________ 6394 946 ( 2 , 447458 ) 223728 223730 M 2 310 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6395 946 ( 22 , 40678 ) 20328 6397 946 ( 242 , 3698 ) 1728 6396 946 ( 86 , 10406 ) 5160 20350 5246 M 1970 M M 22 86 0 2 4 4 _____________________________________________________________________________ 6398 947 ( 1 , 896809 ) 448404 448405 P 1 1 0 1 _____________________________________________________________________________ 6399 948 ( 2 , 449352 ) 224675 6401 948 ( 6 , 149784 ) 74889 74895 M ( 12 , 74892 ) 37440 37452 M ( 24 , 37446 ) 18711 18735 M 6400 6402 6403 6404 6405 6406 6407 6408 6409 6410 6411 948 948 948 948 948 948 948 948 948 948 948 ( 4 , 224676 ) ( 8 , 112338 ) ( 18 , 49928 ) ( 36 , 24964 ) ( 72 , 12482 ) ( 158 , 5688 ) ( 316 , 2844 ) ( 474 , 1896 ) ( 632 , 1422 ) 112336 56165 24955 12464 6205 2765 1264 711 395 224677 P 112340 56173 24973 12500 6277 P 2923 1580 1185 1027 1 M 4 3 P 1 P 1 12 3 M 1 M 4 79 M 316 M 237 M 4 79 9 13 _____________________________________________________________________________ 6412 949 ( 1 , 900601 ) 6414 949 ( 73 , 12337 ) 6413 6415 949 949 450300 ( 13 , 69277 ) 34632 ( 169 , 5329 ) 2580 6132 450301 34645 6205 2749 M P M P 1 13 73 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 311 2 2 4 _____________________________________________________________________________ 6416 950 ( 2 , 451250 ) 6418 950 ( 38 , 23750 ) 6417 6419 6420 6421 6422 950 950 950 950 950 225624 ( 10 , 90250 ) 45120 ( 50 , 18050 ) 9000 ( 190 , 4750 ) ( 250 , 3610 ) ( 722 , 1250 ) 11856 2280 1680 264 225626 45130 11894 9050 M 2470 1930 986 M M 10 M 38 50 M M 2 190 M 0 2 10 7 7 _____________________________________________________________________________ 6423 951 ( 1 , 904401 ) 452200 6425 951 ( 9 , 100489 ) 50240 6424 6426 951 951 ( 3 , 301467 ) ( 317 , 2853 ) 150732 1268 452201 P 150735 50249 1585 M P 1 M 2 3 1 317 2 4 _____________________________________________________________________________ 6427 952 ( 2 , 453152 ) 226575 6429 952 ( 8 , 113288 ) 56640 6428 6430 6431 6432 6433 6434 6435 6436 952 952 952 952 952 952 952 952 ( 4 , 226576 ) 113286 226577 P 113290 56648 M ( 14 , 64736 ) 32361 32375 M ( 28 , 32368 ) 16170 16198 M ( 16 , 56644 ) ( 32 , 28322 ) ( 34 , 26656 ) ( 56 , 16184 ) ( 68 , 13328 ) 28314 14145 13311 8064 6630 28330 M 14177 13345 8120 6698 P M M M M 1 8 7 2 14 1 17 56 34 2 312 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6437 952 ( 98 , 9248 ) 6439 952 ( 136 , 6664 ) 6438 6440 6441 6442 6443 6444 6445 6446 6447 6448 952 952 952 952 952 952 952 952 952 952 ( 112 , 8092 ) ( 196 , 4624 ) ( 224 , 4046 ) ( 238 , 3808 ) ( 272 , 3332 ) ( 392 , 2312 ) ( 476 , 1904 ) ( 544 , 1666 ) ( 578 , 1568 ) ( 784 , 1156 ) 4575 3990 3264 2214 1911 1785 1530 4673 4102 P M 3400 M 2410 2 M 2023 14 136 M 2135 1802 1 7 M 119 M 34 960 1352 M 8 561 1105 M 17 714 495 186 1190 1073 970 M 238 P 1 M 4 2 18 22 _____________________________________________________________________________ 6449 953 ( 1 , 908209 ) 454104 454105 P 1 1 0 1 _____________________________________________________________________________ 6450 954 ( 2 , 455058 ) 227528 6452 954 ( 18 , 50562 ) 25272 ( 106 , 8586 ) 4240 4346 M 1272 1590 M 6451 6453 6454 6455 6456 954 954 954 954 954 ( 6 , 151686 ) ( 54 , 16854 ) ( 162 , 5618 ) ( 318 , 2862 ) 75840 8400 2728 227530 75846 25290 8454 2890 M M M M 6 6 2 18 106 M 2 0 318 7 7 _____________________________________________________________________________ 6457 955 ( 1 , 912025 ) 456012 456013 P 1 313 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6458 955 ( 5 , 182405 ) 6460 955 ( 191 , 4775 ) 6459 955 ( 25 , 36481 ) 91200 18228 2292 91205 M 18253 2483 M 5 P 1 191 2 2 4 _____________________________________________________________________________ 6461 956 ( 2 , 456968 ) 228483 6463 956 ( 8 , 114242 ) 57117 6462 6464 956 956 ( 4 , 228484 ) ( 478 , 1912 ) 114240 717 228485 P 114244 57125 1195 M P 1 M 4 1 239 2 2 4 _____________________________________________________________________________ 6465 957 ( 1 , 915849 ) 457924 6467 957 ( 9 , 101761 ) 50876 6466 6468 6469 6470 6471 6472 6473 6474 6475 6476 6477 957 957 957 957 957 957 957 957 957 957 957 ( 3 , 305283 ) 152640 457925 P 152643 50885 P ( 11 , 83259 ) 41624 41635 M ( 33 , 27753 ) 13860 13893 M ( 29 , 31581 ) ( 87 , 10527 ) ( 99 , 9251 ) ( 121 , 7569 ) ( 261 , 3509 ) ( 319 , 2871 ) ( 363 , 2523 ) ( 841 , 1089 ) 15776 5220 4576 3724 1624 1276 1080 124 15805 5307 4675 3845 M 1 29 33 87 11 P 1 M 29 M P 3 11 M 1595 965 M M 1885 1443 1 319 M 4 1 3 9 13 _____________________________________________________________________________ 6478 958 ( 2 , 458882 ) 229440 229442 M 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 314 0 1 1 _____________________________________________________________________________ 6479 959 ( 1 , 919681 ) 459840 6481 959 ( 49 , 18769 ) 9360 6480 6482 959 959 ( 7 , 131383 ) ( 137 , 6713 ) 65688 3288 459841 65695 9409 3425 P M M P 1 2 7 1 137 2 4 _____________________________________________________________________________ 6483 960 ( 2 , 460800 ) 230399 6485 960 ( 6 , 153600 ) 76797 76803 M ( 10 , 92160 ) 46075 46085 M ( 16 , 57600 ) 28792 28808 M 6484 6486 6487 6488 6489 6490 6491 6492 6493 6494 6495 6496 6497 6498 6499 6500 6501 960 960 960 960 960 960 960 960 960 960 960 960 960 960 960 960 960 ( 4 , 230400 ) ( 8 , 115200 ) ( 12 , 76800 ) ( 18 , 51200 ) ( 20 , 46080 ) ( 24 , 38400 ) ( 30 , 30720 ) ( 32 , 28800 ) ( 36 , 25600 ) ( 40 , 23040 ) ( 48 , 19200 ) ( 50 , 18432 ) ( 60 , 15360 ) ( 64 , 14400 ) ( 72 , 12800 ) 115198 57596 38394 25591 23030 19188 15345 14384 12782 11500 230401 P 115202 57604 25609 19212 14416 1 10 12 15 M 12818 16 M 7650 7710 M 6436 8 M M 6364 6 M 15375 7232 5 M 9624 7168 4 P 23050 9241 3 M 9576 9191 M M 38406 11540 1 P M M M 2 20 24 1 30 64 4 2 315 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6502 960 ( 80 , 11520 ) 6504 960 ( 96 , 9600 ) 6503 6505 6506 6507 6508 6509 6510 6511 6512 6513 6514 6515 6516 6517 6518 6519 6520 6521 6522 6523 6524 6525 6526 6527 6528 960 960 960 960 960 960 960 960 960 960 960 960 960 960 960 960 960 960 960 960 960 960 960 960 960 ( 90 , 10240 ) ( 100 , 9216 ) ( 120 , 7680 ) ( 128 , 7200 ) ( 144 , 6400 ) ( 150 , 6144 ) ( 160 , 5760 ) ( 180 , 5120 ) ( 192 , 4800 ) ( 200 , 4608 ) ( 240 , 3840 ) ( 256 , 3600 ) ( 288 , 3200 ) ( 300 , 3072 ) ( 320 , 2880 ) ( 360 , 2560 ) ( 384 , 2400 ) ( 400 , 2304 ) ( 450 , 2048 ) ( 480 , 1920 ) ( 512 , 1800 ) ( 576 , 1600 ) ( 600 , 1536 ) ( 640 , 1440 ) ( 720 , 1280 ) 5720 5075 4752 4558 3780 3536 3128 2997 2800 2470 2304 2204 1800 1672 1456 1386 1280 1100 1008 5800 5165 4848 4658 3900 3664 3272 3147 2960 2650 2496 2404 2040 1928 1744 1686 1600 1460 1392 M M M M 468 400 280 1068 1040 1000 8 3 80 M 10 M 192 M 4 M 120 M 8 M 16 M 6 M 320 M M M 1088 16 M 1200 512 60 M 720 1156 2 M M 644 48 M 1352 1249 5 M 952 799 40 P M M M M M 20 48 8 1 240 4 64 12 80 40 316 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6529 960 ( 768 , 1200 ) 216 6531 960 ( 900 , 1024 ) 62 6530 960 ( 800 , 1152 ) 176 984 976 962 M 24 M 16 M 4 2 45 49 _____________________________________________________________________________ 6532 6533 961 961 ( 1 , 923521 ) ( 31 , 29791 ) 461760 14880 461761 14911 M P 1 1 1 31 2 _____________________________________________________________________________ 6534 962 ( 2 , 462722 ) 6536 962 ( 74 , 12506 ) 6535 6537 962 962 231360 ( 26 , 35594 ) 17784 ( 338 , 2738 ) 1200 6216 231362 17810 6290 1538 M M M M 26 2 74 0 2 4 4 _____________________________________________________________________________ 6538 963 ( 1 , 927369 ) 463684 6540 963 ( 9 , 103041 ) 51516 6539 6541 6542 6543 6544 963 963 963 963 963 ( 3 , 309123 ) 154560 ( 27 , 34347 ) 17160 ( 107 , 8667 ) 4280 ( 81 , 11449 ) ( 321 , 2889 ) 5684 1284 463685 P 154563 51525 17187 5765 4387 1605 M P 1 M M 9 1 M 3 3 107 M 2 321 5 7 _____________________________________________________________________________ 6545 964 ( 2 , 464648 ) 232323 6547 964 ( 8 , 116162 ) 58077 6546 964 ( 4 , 232324 ) 116160 232325 116164 58085 P P M 1 1 4 317 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6548 964 ( 482 , 1928 ) 723 1205 M 241 2 2 4 _____________________________________________________________________________ 6549 965 ( 1 , 931225 ) 465612 6551 965 ( 25 , 37249 ) 18612 6550 6552 965 965 ( 5 , 186245 ) ( 193 , 4825 ) 93120 2316 465613 93125 18637 2509 M M P 5 P 1 1 193 2 2 4 _____________________________________________________________________________ 6553 966 ( 2 , 466578 ) 233288 6555 966 ( 14 , 66654 ) 33320 33334 M ( 42 , 22218 ) 11088 11130 M 6554 6556 6557 6558 6559 6560 6561 6562 6563 6564 6565 966 966 966 966 966 966 966 966 966 966 966 ( 6 , 155526 ) ( 18 , 51842 ) ( 46 , 20286 ) ( 98 , 9522 ) ( 126 , 7406 ) ( 138 , 6762 ) ( 294 , 3174 ) ( 322 , 2898 ) ( 414 , 2254 ) ( 882 , 1058 ) 77760 25912 10120 4712 3640 3312 1440 1288 920 88 233290 77766 M 25930 10166 4810 3766 M 2 42 M 2 138 M 6 M M 46 14 M 1610 970 14 M 1734 2 6 M 3450 1334 M 322 M 0 2 46 13 13 _____________________________________________________________________________ 6566 967 ( 1 , 935089 ) 467544 467545 P 1 0 1 1 _____________________________________________________________________________ 318 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6567 968 ( 2 , 468512 ) 234255 6569 968 ( 8 , 117128 ) 58560 6568 6570 6571 6572 6573 6574 6575 6576 6577 6578 968 968 968 968 968 968 968 968 968 968 ( 4 , 234256 ) 117126 234257 P 117130 58568 M ( 16 , 58564 ) 29274 29290 M ( 32 , 29282 ) 14625 14657 P ( 22 , 42592 ) ( 44 , 21296 ) ( 88 , 10648 ) ( 176 , 5324 ) ( 242 , 3872 ) ( 352 , 2662 ) ( 484 , 1936 ) 21285 10626 5280 21307 10670 5368 M 2750 M 1155 1507 M 726 2057 1210 M 2 8 2 M 2574 1815 1 11 1 M 22 88 22 M 121 11 M 242 2 10 12 _____________________________________________________________________________ 6579 969 ( 1 , 938961 ) 469480 6581 969 ( 9 , 104329 ) 52160 6580 6582 6583 6584 6585 6586 6587 6588 6589 6590 6591 969 969 969 969 969 969 969 969 969 969 969 ( 3 , 312987 ) 156492 469481 P 156495 52169 P M 1 ( 17 , 55233 ) 27608 ( 51 , 18411 ) 9180 9231 M 2992 3145 M 1480 1769 P 1 P 1 ( 19 , 49419 ) ( 57 , 16473 ) ( 153 , 6137 ) ( 171 , 5491 ) ( 289 , 3249 ) ( 323 , 2907 ) ( 361 , 2601 ) ( 867 , 1083 ) 24700 8208 2660 1292 1120 108 27625 1 M 24719 8265 19 51 57 17 M 1615 975 M M 2831 1481 17 19 M M 323 3 3 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 319 4 9 13 _____________________________________________________________________________ 6592 970 ( 2 , 470450 ) 6594 970 ( 50 , 18818 ) 6593 6595 970 970 235224 ( 10 , 94090 ) 47040 ( 194 , 4850 ) 2328 9384 235226 47050 9434 M 2522 M M M 2 0 10 194 4 2 4 _____________________________________________________________________________ 6596 971 ( 1 , 942841 ) 471420 471421 P 1 1 0 1 _____________________________________________________________________________ 6597 972 ( 2 , 472392 ) 236195 6599 972 ( 6 , 157464 ) 78729 78735 M ( 12 , 78732 ) 39360 39372 M ( 24 , 39366 ) 19671 19695 M 6598 6600 6601 6602 6603 6604 6605 6606 6607 6608 6609 6610 6611 6612 972 972 972 972 972 972 972 972 972 972 972 972 972 972 ( 4 , 236196 ) ( 8 , 118098 ) ( 18 , 52488 ) ( 36 , 26244 ) ( 54 , 17496 ) ( 72 , 13122 ) ( 108 , 8748 ) ( 162 , 5832 ) ( 216 , 4374 ) ( 324 , 2916 ) ( 486 , 1944 ) ( 648 , 1458 ) 118096 59045 26235 13104 236197 P 118100 59053 8775 M 4320 4428 M 2079 2295 M 2835 1296 729 405 6597 2997 1620 1215 1053 3 1 12 M 8721 6525 M P 26253 13140 1 M M M M M M 9 3 36 27 9 108 81 27 324 243 81 4 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 320 2 14 16 _____________________________________________________________________________ 6613 973 ( 1 , 946729 ) 473364 6615 973 ( 49 , 19321 ) 9636 6614 6616 973 973 ( 7 , 135247 ) ( 139 , 6811 ) 67620 3336 473365 67627 9685 3475 P M M P 1 2 7 1 139 2 4 _____________________________________________________________________________ 6617 974 ( 2 , 474338 ) 237168 237170 M 0 2 1 1 _____________________________________________________________________________ 6618 975 ( 1 , 950625 ) 475312 6620 975 ( 5 , 190125 ) 95060 95065 M ( 13 , 73125 ) 36556 36569 M ( 25 , 38025 ) 19000 19025 M 6619 6621 6622 6623 6624 6625 6626 6627 6628 6629 6630 6631 6632 6633 975 975 975 975 975 975 975 975 975 975 975 975 975 975 ( 3 , 316875 ) ( 9 , 105625 ) ( 15 , 63375 ) ( 39 , 24375 ) ( 45 , 21125 ) ( 65 , 14625 ) ( 75 , 12675 ) ( 117 , 8125 ) ( 125 , 7605 ) ( 169 , 5625 ) ( 195 , 4875 ) ( 225 , 4225 ) 158436 52808 31680 12168 10540 475313 P 158439 52817 12207 M 4004 4121 M 2728 2897 P 3740 2340 2000 3865 2535 2225 1 13 15 25 M 7345 6375 5 M 7280 6300 M P 31695 10585 1 M M M M M 39 5 65 75 13 5 1 195 25 3 321 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6634 975 ( 325 , 2925 ) 1300 6636 975 ( 507 , 1875 ) 684 1191 M 448 1073 P 6635 6637 6638 6639 975 975 975 975 ( 375 , 2535 ) ( 585 , 1625 ) ( 625 , 1521 ) ( 845 , 1125 ) 1080 520 140 1625 1455 1105 985 M 325 M 15 3 M 65 1 M 4 5 18 22 _____________________________________________________________________________ 6640 976 ( 2 , 476288 ) 238143 6642 976 ( 8 , 119072 ) 59532 6641 6643 6644 6645 6646 6647 6648 6649 976 976 976 976 976 976 976 976 ( 4 , 238144 ) 119070 ( 16 , 59536 ) 29760 ( 64 , 14884 ) 7410 ( 32 , 29768 ) ( 122 , 7808 ) ( 128 , 7442 ) ( 244 , 3904 ) ( 488 , 1952 ) 14868 238145 P 119074 59540 M 29776 14900 7474 M 3965 M 1830 2074 M 732 3785 1220 M 4 M 3843 3657 1 2 16 M 2 4 61 P 1 122 M 2 244 8 10 _____________________________________________________________________________ 6650 977 ( 1 , 954529 ) 477264 477265 P 1 1 0 1 _____________________________________________________________________________ 6651 978 ( 2 , 478242 ) 239120 6653 978 ( 18 , 53138 ) 26560 6652 6654 978 978 ( 6 , 159414 ) ( 326 , 2934 ) 79704 1304 239122 79710 26578 1630 M M M M 6 2 326 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 322 0 4 4 _____________________________________________________________________________ 6655 979 ( 1 , 958441 ) 6657 979 ( 89 , 10769 ) 6656 6658 979 979 479220 ( 11 , 87131 ) 43560 ( 121 , 7921 ) 3900 5340 479221 43571 5429 M 4021 M P P 1 11 89 2 1 2 4 _____________________________________________________________________________ 6659 980 ( 2 , 480200 ) 240099 6661 980 ( 8 , 120050 ) 60021 6660 6662 6663 6664 6665 6666 6667 6668 6669 6670 6671 6672 6673 6674 6675 6676 6677 980 980 980 980 980 980 980 980 980 980 980 980 980 980 980 980 980 ( 4 , 240100 ) 120048 240101 P 120052 60029 P ( 10 , 96040 ) 48015 48025 M ( 20 , 48020 ) 24000 24020 M ( 14 , 68600 ) ( 28 , 34300 ) ( 40 , 24010 ) ( 50 , 19208 ) ( 56 , 17150 ) ( 70 , 13720 ) ( 98 , 9800 ) ( 100 , 9604 ) ( 140 , 6860 ) ( 196 , 4900 ) ( 200 , 4802 ) ( 280 , 3430 ) ( 350 , 2744 ) ( 392 , 2450 ) 34293 17136 11985 34307 9629 P 6825 6895 M 4851 4752 3360 2352 2301 1575 1197 1029 8603 4949 4852 3500 2548 2501 1855 1547 1421 1 5 7 20 M 9579 8547 M M 17164 12025 1 M M M M M P M M M M 28 1 5 7 35 49 4 140 196 1 35 7 49 4 323 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6678 980 ( 490 , 1960 ) 735 1225 M 245 6680 980 ( 700 , 1372 ) 336 1036 M 28 6679 980 ( 686 , 1400 ) 357 1043 M 7 4 18 22 _____________________________________________________________________________ 6681 981 ( 1 , 962361 ) 481180 6683 981 ( 9 , 106929 ) 53460 6682 6684 6685 6686 6687 981 981 981 981 981 ( 3 , 320787 ) 160392 ( 27 , 35643 ) 17808 ( 109 , 8829 ) 4360 ( 81 , 11881 ) ( 327 , 2943 ) 5900 1308 481181 P 160395 53469 17835 5981 4469 1635 M P 1 M M 9 1 M 3 3 109 M 2 327 5 7 _____________________________________________________________________________ 6688 982 ( 2 , 482162 ) 241080 241082 M 0 2 1 1 _____________________________________________________________________________ 6689 983 ( 1 , 966289 ) 483144 483145 P 1 1 0 1 _____________________________________________________________________________ 6690 984 ( 2 , 484128 ) 242063 6692 984 ( 6 , 161376 ) 80685 80691 M ( 12 , 80688 ) 40338 40350 M ( 18 , 53792 ) 26887 26905 P 6691 6693 6694 6695 6696 984 984 984 984 984 ( 4 , 242064 ) ( 8 , 121032 ) ( 16 , 60516 ) 121030 60512 30250 242065 121034 60520 30266 P M M M 1 3 8 6 2 1 2 324 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6697 984 ( 24 , 40344 ) 20160 20184 M 6699 984 ( 36 , 26896 ) 13430 13466 M 6698 6700 6701 6702 6703 6704 6705 6706 6707 6708 6709 6710 6711 984 984 984 984 984 984 984 984 984 984 984 984 984 ( 32 , 30258 ) ( 48 , 20172 ) ( 72 , 13448 ) ( 82 , 11808 ) ( 96 , 10086 ) ( 144 , 6724 ) ( 164 , 5904 ) ( 246 , 3936 ) ( 288 , 3362 ) ( 328 , 2952 ) ( 492 , 1968 ) ( 656 , 1476 ) ( 738 , 1312 ) 15113 10062 15145 P 10110 6688 6760 M 4995 5091 M 5863 5945 3434 M 1845 2091 M 1537 1312 3034 2 M 8 6 41 3 2 M 1825 1640 1 M 3290 2870 24 82 123 P 1 M 328 738 1230 M 246 287 1025 M 41 410 1066 M 82 4 18 22 _____________________________________________________________________________ 6712 985 ( 1 , 970225 ) 485112 6714 985 ( 25 , 38809 ) 19392 6713 6715 985 985 ( 5 , 194045 ) ( 197 , 4925 ) 97020 2364 485113 97025 19417 2561 M M P P 5 1 1 2 197 2 4 _____________________________________________________________________________ 6716 986 ( 2 , 486098 ) 6718 986 ( 58 , 16762 ) 6717 6719 986 986 243048 ( 34 , 28594 ) 14280 ( 578 , 1682 ) 552 8352 243050 14314 8410 1130 M M M M 34 58 2 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 325 0 4 4 _____________________________________________________________________________ 6720 987 ( 1 , 974169 ) 487084 6722 987 ( 7 , 139167 ) 69580 69587 M ( 21 , 46389 ) 23184 23205 M ( 49 , 19881 ) 9916 9965 P 3384 3525 M 1316 1645 M 6721 6723 6724 6725 6726 6727 6728 6729 6730 6731 6732 987 987 987 987 987 987 987 987 987 987 987 ( 3 , 324723 ) ( 9 , 108241 ) ( 47 , 20727 ) ( 63 , 15463 ) ( 141 , 6909 ) ( 147 , 6627 ) ( 329 , 2961 ) ( 423 , 2303 ) ( 441 , 2209 ) 162360 54116 10340 7700 3240 940 884 487085 P 162363 54125 7763 3 7 1 21 M 1 M 3387 1325 M P 10387 1363 1 47 7 141 M 3 329 M 47 P 4 1 9 13 _____________________________________________________________________________ 6733 988 ( 2 , 488072 ) 244035 6735 988 ( 8 , 122018 ) 61005 6734 6736 6737 6738 6739 6740 6741 6742 988 988 988 988 988 988 988 988 ( 4 , 244036 ) 122016 244037 P 122020 61013 P ( 26 , 37544 ) 18759 ( 52 , 18772 ) 9360 9412 M 4641 4745 M 1275 1613 P ( 38 , 25688 ) ( 76 , 12844 ) ( 104 , 9386 ) ( 152 , 6422 ) ( 338 , 2888 ) 12825 6384 3135 18785 12863 6460 3287 1 M 1 M M M M 13 19 52 76 13 19 1 4 326 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6743 988 ( 494 , 1976 ) 741 1235 M 6745 988 ( 722 , 1352 ) 315 1037 P 6744 988 ( 676 , 1444 ) 384 1060 247 M 4 4 1 9 13 _____________________________________________________________________________ 6746 989 ( 1 , 978121 ) 6748 989 ( 43 , 22747 ) 6747 6749 989 989 489060 ( 23 , 42527 ) 21252 ( 529 , 1849 ) 660 11352 489061 21275 11395 1189 M P P M 2 1 23 43 1 2 4 _____________________________________________________________________________ 6750 990 ( 2 , 490050 ) 245024 6752 990 ( 10 , 98010 ) 49000 49010 M ( 22 , 44550 ) 22264 22286 M 6751 6753 6754 6755 6756 6757 6758 6759 6760 6761 6762 6763 6764 6765 990 990 990 990 990 990 990 990 990 990 990 990 990 990 ( 6 , 163350 ) ( 18 , 54450 ) ( 30 , 32670 ) ( 50 , 19602 ) ( 54 , 18150 ) ( 66 , 14850 ) ( 90 , 10890 ) ( 110 , 8910 ) ( 150 , 6534 ) ( 162 , 6050 ) ( 198 , 4950 ) ( 242 , 4050 ) ( 270 , 3630 ) 81672 27216 16320 245026 81678 M 27234 16350 9826 M 7392 7458 M 5400 9102 5490 M M 4400 4510 M 2944 3106 M 3192 2376 1904 1680 3342 2574 2146 1950 6 10 M 9776 9048 M M M M M M 18 22 2 30 6 66 90 110 6 2 198 2 30 2 327 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6766 990 ( 330 , 2970 ) 1320 6768 990 ( 550 , 1782 ) 616 6767 6769 6770 6771 990 990 990 990 ( 450 , 2178 ) ( 594 , 1650 ) ( 726 , 1350 ) ( 810 , 1210 ) 1650 M 330 864 1314 M 18 528 1122 M 66 312 200 1166 1038 1010 M 22 M 6 M 0 10 22 22 _____________________________________________________________________________ 6772 991 ( 1 , 982081 ) 491040 491041 P 1 1 0 1 _____________________________________________________________________________ 6773 992 ( 2 , 492032 ) 246015 6775 992 ( 8 , 123008 ) 61500 6774 6776 6777 6778 6779 6780 6781 6782 6783 6784 6785 992 992 992 992 992 992 992 992 992 992 992 ( 4 , 246016 ) 123006 246017 P 123010 61508 M ( 16 , 61504 ) 30744 ( 62 , 15872 ) 7905 7967 M 3906 4030 M 1860 2108 M ( 32 , 30752 ) ( 64 , 15376 ) ( 124 , 7936 ) ( 128 , 7688 ) ( 248 , 3968 ) ( 256 , 3844 ) ( 496 , 1984 ) ( 512 , 1922 ) 15360 7656 3780 1794 744 705 30760 7720 1217 8 M 32 31 8 62 M 4 124 M 2 M P 2 4 M 3908 1240 M M 15392 2050 1 248 2 1 11 13 _____________________________________________________________________________ 6786 993 ( 1 , 986049 ) 493024 493025 P 1 328 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6787 993 ( 3 , 328683 ) 164340 6789 993 ( 331 , 2979 ) 1324 6788 993 ( 9 , 109561 ) 54776 164343 54785 1655 M P M 2 3 1 331 2 4 _____________________________________________________________________________ 6790 994 ( 2 , 494018 ) 6792 994 ( 98 , 10082 ) 6791 6793 994 994 247008 ( 14 , 70574 ) 35280 ( 142 , 6958 ) 3408 4992 247010 35294 5090 3550 M M M M 2 0 14 142 4 2 4 _____________________________________________________________________________ 6794 995 ( 1 , 990025 ) 495012 6796 995 ( 25 , 39601 ) 19788 6795 6797 995 995 ( 5 , 198005 ) ( 199 , 4975 ) 99000 2388 495013 99005 19813 2587 M M P P 5 1 1 2 199 2 4 _____________________________________________________________________________ 6798 996 ( 2 , 496008 ) 248003 6800 996 ( 6 , 165336 ) 82665 82671 M ( 12 , 82668 ) 41328 41340 M ( 24 , 41334 ) 20655 20679 M 6799 6801 6802 6803 6804 6805 6806 6807 996 996 996 996 996 996 996 996 ( 4 , 248004 ) ( 8 , 124002 ) ( 18 , 55112 ) ( 36 , 27556 ) ( 72 , 13778 ) ( 166 , 5976 ) 124000 61997 27547 13760 6853 2905 248005 P 124004 62005 27565 13796 6925 3071 P M 1 M 3 P 1 P 1 M 12 3 1 4 83 4 329 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6808 996 ( 332 , 2988 ) 1328 6810 996 ( 664 , 1494 ) 415 6809 996 ( 498 , 1992 ) 747 1660 1245 1079 M 332 M 249 M 4 83 9 13 _____________________________________________________________________________ 6811 997 ( 1 , 994009 ) 497004 497005 P 1 1 0 1 _____________________________________________________________________________ 6812 998 ( 2 , 498002 ) 249000 249002 M 0 2 1 1 _____________________________________________________________________________ 6813 999 ( 1 , 998001 ) 499000 6815 999 ( 9 , 110889 ) 55440 6814 6816 6817 6818 6819 6820 6821 6822 999 999 999 999 999 999 999 999 ( 3 , 332667 ) 166332 ( 27 , 36963 ) 18468 ( 81 , 12321 ) 6120 ( 37 , 26973 ) ( 111 , 8991 ) ( 243 , 4107 ) ( 333 , 2997 ) ( 729 , 1369 ) 13468 499001 P 166335 55449 M 18495 13505 6201 M 4551 M 1332 1665 M 320 2175 1049 M 9 M 4440 1932 1 27 M 9 37 111 M P 3 3 2 1 333 8 10 _____________________________________________________________________________ 6823 1000 ( 2 , 500000 ) 249999 6825 1000 ( 8 , 125000 ) 62496 6824 6826 1000 1000 ( 4 , 250000 ) ( 10 , 100000 ) 124998 49995 250001 125002 62504 50005 P M M M 1 8 2 5 330 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6827 1000 ( 16 , 62500 ) 31242 31258 M 6829 1000 ( 32 , 31250 ) 15609 15641 P 6828 6830 6831 6832 6833 6834 6835 6836 6837 6838 6839 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 ( 20 , 50000 ) ( 40 , 25000 ) ( 50 , 20000 ) ( 80 , 12500 ) ( 100 , 10000 ) 24990 12480 9975 6210 4950 25010 M 12520 10025 2 10 1 M 40 M 25 6290 M 10 5050 M 50 ( 160 , 6250 ) 3045 3205 M 5 ( 250 , 4000 ) 1875 2125 M 125 ( 200 , 5000 ) ( 400 , 2500 ) ( 500 , 2000 ) ( 800 , 1250 ) 2400 1050 750 225 2600 1450 1250 1025 M 200 M 50 M 250 M 25 2 15 17 _____________________________________________________________________________ 6840 1001 ( 1 , 1002001 ) 6842 1001 ( 11 , 91091 ) 45540 45551 ( 49 , 20449 ) 10200 10249 6841 6843 6844 6845 6846 6847 6848 6849 6850 6851 1001 1001 1001 1001 1001 1001 1001 1001 1001 1001 ( 7 , 143143 ) ( 13 , 77077 ) ( 77 , 13013 ) 501000 71568 38532 501001 71575 M 38545 M P 7 M P 11 13 1 6468 6545 M ( 121 , 8281 ) 4080 4201 P 1 ( 169 , 5929 ) 2880 3049 P 1 ( 91 , 11011 ) ( 143 , 7007 ) ( 539 , 1859 ) ( 637 , 1573 ) 5460 3432 660 468 5551 3575 1199 1105 M M M M 77 91 143 11 13 1 331 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6852 1001 ( 847 , 1183 ) 168 1015 M 7 4 9 13 _____________________________________________________________________________ 6853 1002 ( 2 , 502002 ) 251000 6855 1002 ( 18 , 55778 ) 27880 6854 6856 1002 1002 ( 6 , 167334 ) ( 334 , 3006 ) 83664 1336 251002 83670 27898 1670 M M M 2 6 M 2 0 4 334 4 _____________________________________________________________________________ 6857 1003 ( 1 , 1006009 ) 6859 1003 ( 59 , 17051 ) 6858 6860 1003 1003 503004 ( 17 , 59177 ) 29580 ( 289 , 3481 ) 1596 8496 503005 29597 8555 M 1885 P M P 1 17 59 2 2 1 4 _____________________________________________________________________________ 6861 1004 ( 2 , 504008 ) 252003 6863 1004 ( 8 , 126002 ) 62997 6862 6864 1004 1004 ( 4 , 252004 ) ( 502 , 2008 ) 126000 753 252005 126004 63005 1255 M P 1 M P 1 251 2 4 2 4 _____________________________________________________________________________ 6865 1005 ( 1 , 1010025 ) 6867 1005 ( 5 , 202005 ) 6866 6868 6869 6870 1005 1005 1005 1005 505012 ( 3 , 336675 ) 168336 ( 9 , 112225 ) 56108 ( 15 , 67335 ) ( 25 , 40401 ) 101000 33660 20188 505013 P 168339 101005 M 56117 P 20213 P 33675 1 M M 3 1 15 1 5 332 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6871 1005 ( 45 , 22445 ) 11200 6873 1005 ( 75 , 13467 ) 6696 6872 6874 6875 6876 6877 1005 1005 1005 1005 1005 ( 67 , 15075 ) 11245 7504 7571 M ( 201 , 5025 ) 2412 2613 M ( 335 , 3015 ) 1340 1675 ( 225 , 4489 ) ( 603 , 1675 ) 2132 536 6771 5 67 M 2357 1139 M 3 201 P 1 M M 335 67 4 9 13 _____________________________________________________________________________ 6878 1006 ( 2 , 506018 ) 253008 253010 M 0 2 1 1 _____________________________________________________________________________ 6879 1007 ( 1 , 1014049 ) 6881 1007 ( 53 , 19133 ) 6880 6882 1007 1007 507024 ( 19 , 53371 ) 26676 ( 361 , 2809 ) 1224 9540 507025 26695 9593 1585 M P P M 1 19 53 2 2 1 4 _____________________________________________________________________________ 6883 1008 ( 2 , 508032 ) 254015 6885 1008 ( 6 , 169344 ) 84669 84675 M ( 12 , 84672 ) 42330 42342 M ( 16 , 63504 ) 31744 31760 6884 6886 6887 6888 6889 6890 6891 1008 1008 1008 1008 1008 1008 1008 ( 4 , 254016 ) ( 8 , 127008 ) ( 14 , 72576 ) ( 18 , 56448 ) ( 24 , 42336 ) 127006 63500 36281 28215 21156 254017 127010 63508 36295 28233 21180 P M M M M M M 1 3 4 6 7 16 9 12 2 333 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6892 1008 ( 28 , 36288 ) 18130 18158 M 14 6894 1008 ( 36 , 28224 ) 14094 14130 M 18 6893 6895 6896 6897 6898 6899 6900 6901 6902 6903 6904 6905 6906 6907 6908 6909 6910 6911 6912 6913 6914 6915 6916 6917 6918 1008 1008 1008 1008 1008 1008 1008 1008 1008 1008 1008 1008 1008 1008 1008 1008 1008 1008 1008 1008 1008 1008 1008 1008 1008 ( 32 , 31752 ) ( 42 , 24192 ) ( 48 , 21168 ) ( 54 , 18816 ) ( 56 , 18144 ) ( 64 , 15876 ) ( 72 , 14112 ) ( 84 , 12096 ) ( 96 , 10584 ) ( 98 , 10368 ) 15860 12075 10560 15892 12117 10608 9435 M 7906 7970 M 9044 7020 6006 5244 5135 9100 7092 6090 5340 5233 4650 4758 ( 126 , 8064 ) 3969 4095 ( 128 , 7938 ) ( 144 , 7056 ) ( 162 , 6272 ) ( 168 , 6048 ) ( 192 , 5292 ) ( 196 , 5184 ) ( 216 , 4704 ) ( 224 , 4536 ) ( 252 , 4032 ) ( 288 , 3528 ) ( 294 , 3456 ) ( 324 , 3136 ) 4480 3905 3456 3055 2940 2550 2494 2244 2156 1890 1620 1581 1406 4592 4033 3600 3217 3108 2742 2690 2460 2380 2142 1908 1875 1730 4 M 9381 ( 108 , 9408 ) ( 112 , 9072 ) M M M M M P M M M M 21 3 28 2 36 42 12 1 6 112 63 P 1 P 1 M M M M M M M M M M 48 144 84 6 2 12 28 126 36 3 2 334 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6919 1008 ( 336 , 3024 ) 1344 1680 M 336 6921 1008 ( 384 , 2646 ) 1131 1515 M 3 6920 6922 6923 6924 6925 6926 6927 6928 6929 6930 6931 6932 6933 6934 1008 1008 1008 1008 1008 1008 1008 1008 1008 1008 1008 1008 1008 1008 ( 378 , 2688 ) ( 392 , 2592 ) ( 432 , 2352 ) ( 448 , 2268 ) ( 504 , 2016 ) ( 576 , 1764 ) ( 588 , 1728 ) ( 648 , 1568 ) ( 672 , 1512 ) ( 756 , 1344 ) ( 784 , 1296 ) ( 864 , 1176 ) ( 882 , 1152 ) ( 896 , 1134 ) 1155 1100 1533 1492 M 21 M 4 960 1392 M 48 756 1260 M 252 910 594 570 460 420 294 256 156 135 119 1358 M 1170 14 M 1158 18 M 1108 6 M 1092 4 M 1050 84 M 1040 42 M 1020 16 M 1017 12 M 1015 M 9 7 4 48 52 _____________________________________________________________________________ 6935 1009 ( 1 , 1018081 ) 509040 509041 1 P 0 1 1 _____________________________________________________________________________ 6936 1010 ( 2 , 510050 ) 255024 6938 1010 ( 50 , 20402 ) 10176 6937 6939 1010 1010 ( 10 , 102010 ) ( 202 , 5050 ) 51000 2424 255026 M 51010 10226 2626 2 M M M 0 2 4 202 10 4 _____________________________________________________________________________ 335 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6940 1011 ( 1 , 1022121 ) 6942 1011 ( 9 , 113569 ) 6941 6943 1011 1011 511060 ( 3 , 340707 ) 170352 ( 337 , 3033 ) 1348 56780 511061 170355 56789 1685 M P 1 M P 2 3 1 337 2 4 _____________________________________________________________________________ 6944 1012 ( 2 , 512072 ) 256035 6946 1012 ( 8 , 128018 ) 64005 6945 6947 6948 6949 6950 6951 6952 6953 6954 6955 6956 1012 1012 1012 1012 1012 1012 1012 1012 1012 1012 1012 ( 4 , 256036 ) 256037 128016 128020 P 11660 M 23265 23287 ( 46 , 22264 ) 11109 11155 ( 88 , 11638 ) 11616 5863 M ( 184 , 5566 ) 2691 2875 M ( 484 , 2116 ) 816 ( 242 , 4232 ) ( 506 , 2024 ) ( 968 , 1058 ) 5520 5612 1995 759 45 2237 1300 1265 11 44 M 23 11 M 92 23 P 1 M 4 M 1013 P 4 1 M 5775 ( 92 , 11132 ) 1 M 64013 ( 22 , 46552 ) ( 44 , 23276 ) P 1 4 253 9 13 _____________________________________________________________________________ 6957 1013 ( 1 , 1026169 ) 513084 513085 1 P 0 1 1 _____________________________________________________________________________ 6958 1014 ( 2 , 514098 ) 257048 6960 1014 ( 18 , 57122 ) 28552 6959 1014 ( 6 , 171366 ) 85680 257050 85686 28570 M M M 6 2 2 336 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6961 1014 ( 26 , 39546 ) 19760 6963 1014 ( 234 , 4394 ) 2080 6962 6964 1014 1014 ( 78 , 13182 ) ( 338 , 3042 ) 6552 1352 19786 6630 M 1690 M 2314 M 26 78 M 26 0 7 338 7 _____________________________________________________________________________ 6965 1015 ( 1 , 1030225 ) 6967 1015 ( 7 , 147175 ) 6966 6968 6969 6970 6971 6972 6973 6974 6975 6976 6977 1015 1015 1015 1015 1015 1015 1015 1015 1015 1015 1015 515112 515113 ( 5 , 206045 ) 103020 ( 25 , 41209 ) 20592 20617 ( 35 , 29435 ) 14700 14735 ( 29 , 35525 ) ( 49 , 21025 ) 73584 17748 10488 103025 73591 M 17777 M 10537 3625 M ( 203 , 5075 ) 2436 2639 M ( 245 , 4205 ) ( 725 , 1421 ) ( 841 , 1225 ) 1980 348 192 3031 2225 1073 1033 M 5 7 1 29 M 3480 2856 1 P ( 145 , 7105 ) ( 175 , 5887 ) P 35 P 1 145 M 7 203 M 5 M 29 P 4 1 9 13 _____________________________________________________________________________ 6978 1016 ( 2 , 516128 ) 258063 6980 1016 ( 8 , 129032 ) 64512 6979 6981 6982 6983 1016 1016 1016 1016 ( 4 , 258064 ) 129030 ( 16 , 64516 ) 32250 ( 254 , 4064 ) 1905 ( 32 , 32258 ) 16113 258065 P 129034 64520 M 16145 P 32266 2159 M M M 1 8 2 1 127 2 337 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 6984 1016 ( 508 , 2032 ) 762 1270 M 254 2 5 7 _____________________________________________________________________________ 6985 1017 ( 1 , 1034289 ) 6987 1017 ( 9 , 114921 ) 6986 6988 6989 6990 6991 1017 1017 1017 1017 1017 517144 ( 3 , 344763 ) 172380 ( 27 , 38307 ) 19140 ( 113 , 9153 ) 4520 ( 81 , 12769 ) ( 339 , 3051 ) 57456 6344 1356 517145 172383 57465 19167 M 6425 P 1695 M 4633 P 1 M 3 9 M 1 M 3 113 2 5 339 7 _____________________________________________________________________________ 6992 1018 ( 2 , 518162 ) 259080 259082 M 0 2 1 1 _____________________________________________________________________________ 6993 1019 ( 1 , 1038361 ) 519180 519181 1 P 0 1 1 _____________________________________________________________________________ 6994 1020 ( 2 , 520200 ) 260099 6996 1020 ( 6 , 173400 ) 86697 6995 6997 6998 6999 7000 7001 7002 1020 1020 1020 1020 1020 1020 1020 ( 4 , 260100 ) ( 8 , 130050 ) ( 10 , 104040 ) 130048 65021 52015 260101 130052 86703 65029 52025 P M P M ( 12 , 86700 ) 43344 43356 M ( 20 , 52020 ) 26000 26020 M ( 18 , 57800 ) ( 24 , 43350 ) 28891 21663 28909 21687 M P M 1 4 3 1 5 12 1 20 3 338 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7003 1020 ( 30 , 34680 ) 17325 17355 M 15 7005 1020 ( 36 , 28900 ) 14432 14468 M 4 7004 7006 7007 7008 7009 7010 7011 7012 7013 7014 7015 7016 7017 7018 7019 7020 7021 7022 7023 7024 7025 7026 7027 7028 7029 1020 1020 1020 1020 1020 1020 1020 1020 1020 1020 1020 1020 1020 1020 1020 1020 1020 1020 1020 1020 1020 1020 1020 1020 1020 ( 34 , 30600 ) ( 40 , 26010 ) ( 50 , 20808 ) ( 60 , 17340 ) ( 68 , 15300 ) ( 72 , 14450 ) ( 90 , 11560 ) ( 100 , 10404 ) ( 102 , 10200 ) 15283 12985 10379 15317 M 13025 10429 M 8640 8700 M 7189 7261 P 7616 5735 5152 5049 7684 5825 5252 5151 17 5 P 1 60 M 68 1 M 5 M 4 M 51 ( 120 , 8670 ) 4275 4395 M 15 ( 150 , 6936 ) 3393 3543 M 3 ( 136 , 7650 ) ( 170 , 6120 ) ( 180 , 5780 ) ( 200 , 5202 ) ( 204 , 5100 ) ( 300 , 3468 ) ( 306 , 3400 ) ( 340 , 3060 ) ( 360 , 2890 ) ( 408 , 2550 ) ( 450 , 2312 ) ( 510 , 2040 ) ( 578 , 1800 ) ( 600 , 1734 ) 3757 2975 2800 2501 2448 1584 1547 1360 1265 1071 3893 3145 2980 2701 2652 1884 1853 1700 1625 1479 M 17 M 85 M 20 P 1 M 204 M 12 M 17 M 340 M M 5 931 1381 P 1 611 1189 P 1 765 567 1275 1167 M M 51 255 3 339 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7030 1020 ( 612 , 1700 ) 544 1156 M 68 7032 1020 ( 850 , 1224 ) 187 1037 M 17 7031 7033 1020 1020 ( 680 , 1530 ) ( 900 , 1156 ) 425 128 1105 M 1028 85 M 4 8 32 40 _____________________________________________________________________________ 7034 1021 ( 1 , 1042441 ) 521220 521221 1 P 0 1 1 _____________________________________________________________________________ 7035 1022 ( 2 , 522242 ) 7037 1022 ( 98 , 10658 ) 7036 7038 1022 1022 261120 ( 14 , 74606 ) 37296 ( 146 , 7154 ) 3504 5280 261122 37310 5378 3650 M M M M 2 0 4 14 146 2 4 _____________________________________________________________________________ 7039 1023 ( 1 , 1046529 ) 7041 1023 ( 9 , 116281 ) 7040 7042 7043 7044 7045 7046 7047 7048 7049 7050 1023 1023 1023 1023 1023 1023 1023 1023 1023 1023 523264 523265 ( 3 , 348843 ) 174420 ( 11 , 95139 ) 47564 47575 ( 33 , 31713 ) 15840 15873 ( 31 , 33759 ) ( 93 , 11253 ) 58136 16864 174423 58145 P 16895 M 5673 M ( 121 , 8649 ) 4264 4385 P ( 341 , 3069 ) 1364 1705 ( 279 , 3751 ) ( 363 , 2883 ) 5236 1736 1260 5335 2015 1623 1 M 1 M 5580 ( 99 , 10571 ) P M M M M M 11 31 33 93 11 1 31 341 3 3 340 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7051 1023 ( 961 , 1089 ) 64 1025 P 1 4 9 13 _____________________________________________________________________________ 7052 1024 ( 2 , 524288 ) 262143 7054 1024 ( 8 , 131072 ) 65532 7053 7055 7056 7057 7058 7059 7060 1024 1024 1024 1024 1024 1024 1024 ( 4 , 262144 ) 131070 ( 16 , 65536 ) 32760 ( 64 , 16384 ) 8160 ( 32 , 32768 ) 16368 ( 128 , 8192 ) 4032 ( 512 , 2048 ) 768 ( 256 , 4096 ) 1920 262145 P 131074 65540 M 16400 M 32776 M M 2176 M 4160 8 16 32 M M 2 4 M 8224 1280 1 64 128 256 1 8 9 _____________________________________________________________________________ 7061 1025 ( 1 , 1050625 ) 7063 1025 ( 25 , 42025 ) 21000 ( 125 , 8405 ) 4140 ( 625 , 1681 ) 528 7062 7064 7065 7066 7067 1025 1025 1025 1025 1025 ( 5 , 210125 ) ( 41 , 25625 ) ( 205 , 5125 ) 525312 105060 12792 2460 525313 105065 21025 12833 4265 2665 1153 P M M M 25 M 5 M P 1 2 1 5 41 205 5 7 _____________________________________________________________________________ 7068 1026 ( 2 , 526338 ) 263168 7070 1026 ( 18 , 58482 ) 29232 7069 7071 1026 1026 ( 6 , 175446 ) ( 38 , 27702 ) 87720 13832 263170 87726 M 13870 M 29250 M M 6 18 38 2 341 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7072 1026 ( 54 , 19494 ) 7074 1026 ( 162 , 6498 ) 7073 7075 7076 7077 1026 1026 1026 1026 9720 9774 M 54 3330 M 18 ( 114 , 9234 ) 4560 4674 ( 342 , 3078 ) 1368 1710 ( 486 , 2166 ) ( 722 , 1458 ) 3168 840 368 1326 1090 M 114 M M 6 M 342 2 0 10 10 _____________________________________________________________________________ 7078 1027 ( 1 , 1054729 ) 7080 1027 ( 79 , 13351 ) 7079 7081 1027 1027 527364 ( 13 , 81133 ) 40560 ( 169 , 6241 ) 3036 6636 527365 40573 6715 M 3205 P M P 1 13 79 2 2 1 4 _____________________________________________________________________________ 7082 1028 ( 2 , 528392 ) 264195 7084 1028 ( 8 , 132098 ) 66045 7083 7085 1028 1028 ( 4 , 264196 ) ( 514 , 2056 ) 132096 771 264197 P 132100 66053 1285 M 1 M P 1 257 2 4 2 4 _____________________________________________________________________________ 7086 1029 ( 1 , 1058841 ) 7088 1029 ( 7 , 151263 ) 7087 7089 7090 7091 7092 1029 1029 1029 1029 1029 529420 ( 3 , 352947 ) 176472 ( 9 , 117649 ) 58820 529421 176475 P 75628 75635 M ( 21 , 50421 ) 25200 25221 M ( 63 , 16807 ) 8372 ( 49 , 21609 ) 10780 58829 10829 8435 1 M 7 P M M 1 21 7 49 3 342 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7093 1029 ( 147 , 7203 ) 3528 7095 1029 ( 441 , 2401 ) 980 7094 1029 ( 343 , 3087 ) 1372 3675 1715 1421 M 147 M 343 M 49 2 8 10 _____________________________________________________________________________ 7096 1030 ( 2 , 530450 ) 265224 7098 1030 ( 50 , 21218 ) 10584 7097 7099 1030 1030 ( 10 , 106090 ) ( 206 , 5150 ) 53040 2472 265226 M 53050 10634 2678 2 M M M 2 0 4 206 10 4 _____________________________________________________________________________ 7100 1031 ( 1 , 1062961 ) 531480 531481 1 P 0 1 1 _____________________________________________________________________________ 7101 1032 ( 2 , 532512 ) 266255 7103 1032 ( 6 , 177504 ) 88749 88755 M ( 12 , 88752 ) 44370 44382 M ( 18 , 59168 ) 29575 29593 7102 7104 7105 7106 7107 7108 7109 7110 7111 7112 7113 1032 1032 1032 1032 1032 1032 1032 1032 1032 1032 1032 ( 4 , 266256 ) ( 8 , 133128 ) ( 16 , 66564 ) ( 24 , 44376 ) ( 32 , 33282 ) ( 36 , 29584 ) ( 48 , 22188 ) ( 72 , 14792 ) ( 86 , 12384 ) 133126 66560 33274 22176 16625 14774 11070 7360 6149 266257 P 133130 66568 8 6 2 P 1 P 1 M 16657 14810 6235 3 M 22200 7432 M M 33290 11118 1 24 M M M M 2 8 6 43 2 343 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7114 1032 ( 96 , 11094 ) 7116 1032 ( 172 , 6192 ) 7115 7117 7118 7119 7120 7121 7122 1032 1032 1032 1032 1032 1032 1032 5499 5595 M 3 3182 M 86 ( 144 , 7396 ) 3626 3770 ( 258 , 4128 ) 1935 2193 ( 288 , 3698 ) ( 344 , 3096 ) ( 516 , 2064 ) ( 688 , 1548 ) ( 774 , 1376 ) 3010 1705 1376 M M 1993 1720 2 129 P 1 M 344 774 1290 M 258 301 1075 M 43 430 1118 M 86 4 18 22 _____________________________________________________________________________ 7123 1033 ( 1 , 1067089 ) 533544 533545 1 P 0 1 1 _____________________________________________________________________________ 7124 1034 ( 2 , 534578 ) 7126 1034 ( 94 , 11374 ) 7125 7127 1034 1034 267288 ( 22 , 48598 ) 24288 ( 242 , 4418 ) 2088 5640 267290 24310 5734 2330 M M M M 22 2 94 0 4 2 4 _____________________________________________________________________________ 7128 1035 ( 1 , 1071225 ) 7130 1035 ( 5 , 214245 ) 7129 7131 7132 7133 7134 1035 1035 1035 1035 1035 535612 ( 3 , 357075 ) 178536 ( 9 , 119025 ) 59508 107120 535613 178539 107125 M 23299 M 35700 35715 ( 25 , 42849 ) 21412 21437 23276 1 M 59517 ( 15 , 71415 ) ( 23 , 46575 ) P M P M 3 9 15 23 1 5 344 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7135 1035 ( 27 , 39675 ) 19824 7137 1035 ( 69 , 15525 ) 7728 7797 M 6572 6653 P 7136 7138 7139 7140 7141 7142 7143 7144 7145 7146 7147 7148 7149 1035 1035 1035 1035 1035 1035 1035 1035 1035 1035 1035 1035 1035 ( 45 , 23805 ) ( 75 , 14283 ) ( 81 , 13225 ) 11880 7104 19851 11925 7179 ( 115 , 9315 ) 4600 4715 ( 207 , 5175 ) 2484 2691 ( 135 , 7935 ) ( 225 , 4761 ) ( 345 , 3105 ) ( 405 , 2645 ) ( 529 , 2025 ) ( 575 , 1863 ) ( 621 , 1725 ) ( 675 , 1587 ) 3900 2268 1380 1120 M 1 115 15 207 M 1725 9 M 345 M P 552 1173 M 1131 3 M 1277 456 69 M 2493 1219 45 M 748 644 M M 4035 1525 3 5 1 M 23 69 M 4 3 18 22 _____________________________________________________________________________ 7150 1036 ( 2 , 536648 ) 268323 7152 1036 ( 8 , 134162 ) 67077 7151 7153 7154 7155 7156 7157 7158 7159 1036 1036 1036 1036 1036 1036 1036 1036 ( 4 , 268324 ) 134160 268325 P 134164 67085 P 19180 M ( 14 , 76664 ) 38325 ( 56 , 19166 ) 9555 9611 M 5427 5525 P ( 28 , 38332 ) ( 74 , 14504 ) ( 98 , 10952 ) ( 148 , 7252 ) ( 196 , 5476 ) 19152 7215 3552 2640 38339 7289 3700 2836 1 M 1 M M M M 7 7 28 37 1 148 4 4 345 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7160 1036 ( 296 , 3626 ) 1665 7162 1036 ( 518 , 2072 ) 777 7161 1036 ( 392 , 2738 ) 1173 1961 1565 1295 M 37 P M 1 259 4 9 13 _____________________________________________________________________________ 7163 1037 ( 1 , 1075369 ) 7165 1037 ( 61 , 17629 ) 7164 7166 1037 1037 537684 ( 17 , 63257 ) 31620 ( 289 , 3721 ) 1716 8784 537685 31637 8845 2005 M P P M 1 17 61 2 2 1 4 _____________________________________________________________________________ 7167 1038 ( 2 , 538722 ) 269360 7169 1038 ( 18 , 59858 ) 29920 7168 7170 1038 1038 ( 6 , 179574 ) ( 346 , 3114 ) 89784 1384 269362 89790 29938 1730 M M M 2 6 M 2 0 4 346 4 _____________________________________________________________________________ 7171 1039 ( 1 , 1079521 ) 539760 539761 1 P 0 1 1 _____________________________________________________________________________ 7172 1040 ( 2 , 540800 ) 270399 7174 1040 ( 8 , 135200 ) 67596 67604 M ( 16 , 67600 ) 33792 33808 M 16 ( 26 , 41600 ) 20787 20813 M 13 7173 7175 7176 7177 7178 1040 1040 1040 1040 1040 ( 4 , 270400 ) ( 10 , 108160 ) ( 20 , 54080 ) 135198 54075 27030 270401 135202 54085 27050 P M M M 1 4 2 5 10 346 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7179 1040 ( 32 , 33800 ) 16884 16916 M 7181 1040 ( 50 , 21632 ) 10791 10841 P 7180 7182 7183 7184 7185 7186 7187 7188 7189 7190 7191 7192 7193 7194 7195 7196 7197 7198 7199 7200 7201 7202 1040 1040 1040 1040 1040 1040 1040 1040 1040 1040 1040 1040 1040 1040 1040 1040 1040 1040 1040 1040 1040 1040 ( 40 , 27040 ) ( 52 , 20800 ) ( 64 , 16900 ) ( 80 , 13520 ) ( 100 , 10816 ) ( 104 , 10400 ) 13500 10374 8418 6720 5358 5148 13540 10426 8482 6800 5458 5252 M M P ( 160 , 6760 ) 3300 3460 M ( 200 , 5408 ) ( 208 , 5200 ) ( 260 , 4160 ) ( 320 , 3380 ) ( 338 , 3200 ) ( 400 , 2704 ) ( 416 , 2600 ) ( 520 , 2080 ) ( 640 , 1690 ) ( 650 , 1664 ) ( 676 , 1600 ) ( 800 , 1352 ) ( 832 , 1300 ) 2604 2496 1950 1530 1431 1152 1092 2804 2704 2210 1850 1769 1552 1508 M 2 26 80 2 M 4289 4225 1 M 4161 4095 20 M ( 128 , 8450 ) ( 130 , 8320 ) 4 1 M 52 65 20 M 4 M 208 M 130 M 10 P 1 M 16 M 52 780 1300 M 260 507 1157 M 13 525 462 276 234 1165 1138 1076 1066 M 5 M 2 M M 4 26 4 27 31 _____________________________________________________________________________ 7203 1041 ( 1 , 1083681 ) 541840 541841 P 1 347 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7204 1041 ( 3 , 361227 ) 180612 7206 1041 ( 347 , 3123 ) 1388 7205 1041 ( 9 , 120409 ) 60200 180615 60209 1735 M M P 2 3 1 2 347 4 _____________________________________________________________________________ 7207 1042 ( 2 , 542882 ) 271440 271442 M 0 2 1 1 _____________________________________________________________________________ 7208 1043 ( 1 , 1087849 ) 7210 1043 ( 49 , 22201 ) 7209 7211 1043 1043 ( 7 , 155407 ) ( 149 , 7301 ) 543924 77700 11076 3576 543925 77707 11125 3725 P M M 1 7 P 1 2 2 149 4 _____________________________________________________________________________ 7212 1044 ( 2 , 544968 ) 272483 7214 1044 ( 6 , 181656 ) 90825 90831 M ( 12 , 90828 ) 45408 45420 M ( 24 , 45414 ) 22695 22719 7213 7215 7216 7217 7218 7219 7220 7221 7222 7223 7224 1044 1044 1044 1044 1044 1044 1044 1044 1044 1044 1044 ( 4 , 272484 ) ( 8 , 136242 ) ( 18 , 60552 ) ( 36 , 30276 ) ( 54 , 20184 ) ( 58 , 18792 ) ( 72 , 15138 ) ( 108 , 10092 ) ( 116 , 9396 ) 136240 68117 30267 15120 10065 9367 7533 4992 4640 272485 P 136244 68125 7605 5100 4756 3 1 12 M 9 M 15156 9425 M P 30285 10119 1 3 M M M M M M 36 3 29 9 12 116 4 348 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7225 1044 ( 162 , 6728 ) 3283 3445 P 7227 1044 ( 216 , 5046 ) 2415 2631 M 7226 7228 7229 7230 7231 7232 7233 1044 1044 1044 1044 1044 1044 1044 ( 174 , 6264 ) ( 232 , 4698 ) ( 324 , 3364 ) ( 348 , 3132 ) ( 522 , 2088 ) ( 648 , 1682 ) ( 696 , 1566 ) 3045 2233 1520 1392 3219 M 2465 29 4 M 1305 M 435 1131 M 1165 3 M 783 517 87 M 1844 1740 1 348 261 P 1 87 4 18 22 _____________________________________________________________________________ 7234 1045 ( 1 , 1092025 ) 7236 1045 ( 11 , 99275 ) 49632 49643 M ( 25 , 43681 ) 21828 21853 P 7235 7237 7238 7239 7240 7241 7242 7243 7244 7245 7246 1045 1045 1045 1045 1045 1045 1045 1045 1045 1045 1045 ( 5 , 218405 ) ( 19 , 57475 ) ( 55 , 19855 ) 546012 109200 28728 546013 109205 28747 9955 M ( 121 , 9025 ) 4452 4573 P ( 275 , 3971 ) 1848 2123 ( 209 , 5225 ) ( 361 , 3025 ) ( 475 , 2299 ) ( 605 , 1805 ) 5700 2508 1332 912 600 5795 1387 1205 M 11 1 55 95 1 M 209 M 11 P 1 M M 5 19 M 2717 1693 1 M 9900 ( 95 , 11495 ) P 19 4 5 9 13 _____________________________________________________________________________ 7247 1046 ( 2 , 547058 ) 273528 273530 M 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 349 0 1 1 _____________________________________________________________________________ 7248 1047 ( 1 , 1096209 ) 7250 1047 ( 9 , 121801 ) 7249 7251 1047 1047 548104 ( 3 , 365403 ) 182700 ( 349 , 3141 ) 1396 60896 548105 182703 60905 1745 M P 1 M P 2 3 1 2 349 4 _____________________________________________________________________________ 7252 1048 ( 2 , 549152 ) 274575 7254 1048 ( 8 , 137288 ) 68640 7253 7255 7256 7257 7258 1048 1048 1048 1048 1048 ( 4 , 274576 ) 137286 ( 16 , 68644 ) 34314 ( 262 , 4192 ) 1965 ( 32 , 34322 ) ( 524 , 2096 ) 17145 786 274577 P 137290 68648 M 17177 P 34330 2227 1310 1 M 8 M M M 2 2 1 131 262 2 5 7 _____________________________________________________________________________ 7259 1049 ( 1 , 1100401 ) 550200 550201 1 P 0 1 1 _____________________________________________________________________________ 7260 1050 ( 2 , 551250 ) 275624 7262 1050 ( 10 , 110250 ) 55120 7261 7263 7264 7265 7266 1050 1050 1050 1050 1050 ( 6 , 183750 ) 275626 M 91872 91878 M ( 14 , 78750 ) 39368 39382 M 14 ( 30 , 36750 ) 18360 18390 M 30 ( 18 , 61250 ) ( 42 , 26250 ) 30616 13104 55130 30634 13146 M M M 6 2 10 2 42 350 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7267 1050 ( 50 , 22050 ) 11000 7269 1050 ( 90 , 12250 ) 6080 7268 7270 7271 7272 7273 7274 7275 7276 7277 7278 7279 7280 7281 1050 1050 1050 1050 1050 1050 1050 1050 1050 1050 1050 1050 1050 ( 70 , 15750 ) ( 98 , 11250 ) 11050 7840 7910 M 5576 5674 M 6170 ( 126 , 8750 ) 4312 4438 ( 210 , 5250 ) 2520 2730 ( 150 , 7350 ) ( 250 , 4410 ) ( 294 , 3750 ) ( 350 , 3150 ) ( 450 , 2450 ) ( 490 , 2250 ) ( 630 , 1750 ) ( 750 , 1470 ) ( 882 , 1250 ) 3600 2080 1728 1400 1000 50 70 M 10 2 M 3750 14 M 150 M 2330 210 M 2022 10 M 1750 1450 M 6 M 350 M 50 880 1370 M 10 360 1110 M 30 560 184 1190 M 1066 70 M 2 0 22 22 _____________________________________________________________________________ 7282 1051 ( 1 , 1104601 ) 552300 552301 1 P 0 1 1 _____________________________________________________________________________ 7283 1052 ( 2 , 553352 ) 276675 7285 1052 ( 8 , 138338 ) 69165 7284 7286 1052 1052 ( 4 , 276676 ) ( 526 , 2104 ) 138336 789 276677 138340 69173 1315 M P P 1 M 1 263 2 2 4 4 _____________________________________________________________________________ 7287 1053 ( 1 , 1108809 ) 554404 554405 P 1 351 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7288 1053 ( 3 , 369603 ) 184800 7290 1053 ( 13 , 85293 ) 42640 42653 ( 39 , 28431 ) 14196 14235 7289 7291 7292 7293 7294 7295 7296 7297 7298 7299 1053 1053 1053 1053 1053 1053 1053 1053 1053 1053 ( 9 , 123201 ) ( 27 , 41067 ) ( 81 , 13689 ) 61596 20520 6804 184803 61605 M 20547 M M 3365 P 4680 4797 ( 243 , 4563 ) 2160 2403 ( 169 , 6561 ) ( 351 , 3159 ) ( 507 , 2187 ) ( 729 , 1521 ) 3196 1404 840 396 1755 1347 1125 3 9 M 6885 ( 117 , 9477 ) M 13 27 M 39 81 M 117 1 M 27 M M 3 M 351 9 2 11 13 _____________________________________________________________________________ 7300 1054 ( 2 , 555458 ) 7302 1054 ( 62 , 17918 ) 7301 7303 1054 1054 277728 ( 34 , 32674 ) 16320 ( 578 , 1922 ) 672 8928 277730 16354 8990 1250 M M M M 34 2 0 2 62 4 4 _____________________________________________________________________________ 7304 1055 ( 1 , 1113025 ) 7306 1055 ( 25 , 44521 ) 7305 7307 1055 1055 ( 5 , 222605 ) ( 211 , 5275 ) 556512 111300 22248 2532 556513 111305 22273 2743 M P P 1 M 2 1 2 211 5 4 _____________________________________________________________________________ 7308 1056 ( 2 , 557568 ) 278783 278785 P 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7309 1056 ( 4 , 278784 ) 139390 7311 1056 ( 8 , 139392 ) 69692 7310 7312 7313 7314 7315 7316 7317 7318 7319 7320 7321 7322 7323 7324 7325 7326 7327 7328 7329 7330 7331 7332 7333 7334 7335 1056 1056 1056 1056 1056 1056 1056 1056 1056 1056 1056 1056 1056 1056 1056 1056 1056 1056 1056 1056 1056 1056 1056 1056 1056 ( 6 , 185856 ) 139394 92925 92931 M ( 12 , 92928 ) 46458 46470 M ( 18 , 61952 ) 30967 30985 ( 16 , 69696 ) ( 22 , 50688 ) ( 24 , 46464 ) ( 32 , 34848 ) ( 36 , 30976 ) ( 44 , 25344 ) ( 48 , 23232 ) ( 64 , 17424 ) ( 66 , 16896 ) ( 72 , 15488 ) ( 88 , 12672 ) ( 96 , 11616 ) 34840 25333 23220 17408 15470 12650 11592 69700 23244 15506 7780 M 4292 4420 ( 144 , 7744 ) 3800 3944 ( 132 , 8448 ) ( 176 , 6336 ) ( 192 , 5808 ) ( 198 , 5632 ) ( 242 , 4608 ) ( 256 , 4356 ) ( 264 , 4224 ) ( 288 , 3872 ) 4158 3080 2808 2717 2183 2050 1980 1792 4290 3256 3000 2915 2425 2306 2244 2080 12 32 2 M 7708 ( 128 , 8712 ) 11 M 12694 5856 1 M M 5760 8 M 17440 6380 6 M 8744 6292 4 P 25355 8481 3 M 8680 8415 M M 34856 11640 352 M M M M M M M M M P M M M M 22 8 24 33 4 44 96 4 66 8 88 24 11 1 2 132 32 2 353 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7336 1056 ( 352 , 3168 ) 1408 1760 M 352 7338 1056 ( 396 , 2816 ) 1210 1606 M 22 7337 7339 7340 7341 7342 7343 7344 7345 7346 7347 1056 1056 1056 1056 1056 1056 1056 1056 1056 1056 ( 384 , 2904 ) ( 484 , 2304 ) ( 512 , 2178 ) ( 528 , 2112 ) ( 576 , 1936 ) ( 704 , 1584 ) ( 726 , 1536 ) ( 768 , 1452 ) ( 792 , 1408 ) ( 968 , 1152 ) 1260 1644 M 910 1394 M 792 1320 M 833 1345 680 308 92 264 8 M 1131 342 1 M 1144 405 2 P 1256 440 12 88 M 1110 3 M 1100 6 M 1060 44 M 4 4 36 40 _____________________________________________________________________________ 7348 1057 ( 1 , 1117249 ) 7350 1057 ( 49 , 22801 ) 7349 7351 1057 1057 ( 7 , 159607 ) ( 151 , 7399 ) 558624 79800 11376 3624 558625 79807 11425 3775 M P M 1 7 P 1 2 2 151 4 _____________________________________________________________________________ 7352 7353 1058 1058 ( 2 , 559682 ) ( 46 , 24334 ) 279840 12144 279842 12190 M M 0 2 46 2 2 _____________________________________________________________________________ 7354 1059 ( 1 , 1121481 ) 7356 1059 ( 9 , 124609 ) 7355 1059 ( 3 , 373827 ) 560740 186912 62300 560741 186915 62309 P P M 1 1 3 354 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7357 1059 ( 353 , 3177 ) 1412 1765 M 2 2 353 4 _____________________________________________________________________________ 7358 1060 ( 2 , 561800 ) 280899 7360 1060 ( 8 , 140450 ) 70221 70229 P ( 20 , 56180 ) 28080 28100 M ( 50 , 22472 ) 11211 11261 P 7359 7361 7362 7363 7364 7365 7366 7367 7368 7369 7370 1060 1060 1060 1060 1060 1060 1060 1060 1060 1060 1060 ( 4 , 280900 ) ( 10 , 112360 ) ( 40 , 28090 ) ( 100 , 11236 ) ( 106 , 10600 ) 140448 56175 14025 5568 5247 280901 P 140452 56185 14065 5668 5353 ( 424 , 2650 ) 1113 1537 M 795 2756 1325 1 4 1 M M 5 5 M P 4 20 M 2909 ( 530 , 2120 ) 1 M 2709 2544 M M ( 200 , 5618 ) ( 212 , 5300 ) 1 53 212 53 265 4 9 13 _____________________________________________________________________________ 7371 1061 ( 1 , 1125721 ) 562860 562861 1 P 0 1 1 _____________________________________________________________________________ 7372 1062 ( 2 , 563922 ) 281960 7374 1062 ( 18 , 62658 ) 31320 ( 118 , 9558 ) 4720 7373 7375 7376 7377 1062 1062 1062 1062 ( 6 , 187974 ) ( 54 , 20886 ) ( 162 , 6962 ) 93984 10416 3400 281962 93990 M 10470 M 31338 4838 3562 M 6 M M M 18 6 118 2 2 355 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7378 1062 ( 354 , 3186 ) 1416 1770 M 0 7 354 7 _____________________________________________________________________________ 7379 1063 ( 1 , 1129969 ) 564984 564985 1 P 0 1 1 _____________________________________________________________________________ 7380 1064 ( 2 , 566048 ) 283023 7382 1064 ( 8 , 141512 ) 70752 7381 7383 7384 7385 7386 7387 7388 7389 7390 7391 7392 7393 7394 7395 7396 7397 7398 7399 7400 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064 1064 ( 4 , 283024 ) 141510 283025 141514 70760 M 35386 M ( 14 , 80864 ) 40425 40439 ( 28 , 40432 ) 20202 20230 ( 16 , 70756 ) ( 32 , 35378 ) ( 38 , 29792 ) ( 56 , 20216 ) ( 76 , 14896 ) ( 98 , 11552 ) ( 112 , 10108 ) 35370 17673 14877 10080 7410 5727 4998 P 5825 5110 8 7 2 M 14 P 14915 7486 M M 17705 10136 1 1 M M 19 M 56 38 P 1 M 14 ( 152 , 7448 ) 3648 3800 M 152 ( 224 , 5054 ) 2415 2639 M 7 ( 196 , 5776 ) ( 266 , 4256 ) ( 304 , 3724 ) ( 392 , 2888 ) ( 532 , 2128 ) ( 608 , 1862 ) ( 722 , 1568 ) 2790 1995 1710 1248 2986 2261 2014 1640 M M M 1330 M 423 1145 P 1235 133 M 798 627 2 M 38 8 266 19 1 2 356 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7401 1064 ( 784 , 1444 ) 330 1114 M 2 4 18 22 _____________________________________________________________________________ 7402 1065 ( 1 , 1134225 ) 7404 1065 ( 5 , 226845 ) 7403 7405 7406 7407 7408 7409 7410 7411 7412 7413 7414 1065 1065 1065 1065 1065 1065 1065 1065 1065 1065 1065 567112 ( 3 , 378075 ) 189036 ( 9 , 126025 ) 63008 113420 567113 189039 113425 P 22697 P 37800 37815 ( 45 , 25205 ) 12580 12625 ( 71 , 15975 ) 22672 8023 M ( 213 , 5325 ) 2556 2769 M ( 355 , 3195 ) 1420 1775 ( 225 , 5041 ) ( 639 , 1775 ) 7524 2408 568 7599 M 15 1 M 5 71 3 213 P 1 M M 5 1 M 2633 1207 3 M 7952 ( 75 , 15123 ) 1 M 63017 ( 15 , 75615 ) ( 25 , 45369 ) P 355 71 4 9 13 _____________________________________________________________________________ 7415 1066 ( 2 , 568178 ) 7417 1066 ( 82 , 13858 ) 7416 7418 1066 1066 284088 ( 26 , 43706 ) 21840 ( 338 , 3362 ) 1512 6888 284090 21866 6970 1850 M M M M 26 2 82 0 4 2 4 _____________________________________________________________________________ 7419 1067 ( 1 , 1138489 ) 7421 1067 ( 97 , 11737 ) 7420 1067 ( 11 , 103499 ) 569244 51744 5820 569245 51755 5917 M M P 1 97 11 357 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7422 1067 ( 121 , 9409 ) 4644 4765 P 2 2 1 4 _____________________________________________________________________________ 7423 1068 ( 2 , 570312 ) 285155 7425 1068 ( 6 , 190104 ) 95049 95055 M ( 12 , 95052 ) 47520 47532 M ( 24 , 47526 ) 23751 23775 7424 7426 7427 7428 7429 7430 7431 7432 7433 7434 7435 1068 1068 1068 1068 1068 1068 1068 1068 1068 1068 1068 ( 4 , 285156 ) ( 8 , 142578 ) ( 18 , 63368 ) ( 36 , 31684 ) ( 72 , 15842 ) 142576 71285 31675 15824 7885 ( 178 , 6408 ) 3115 ( 534 , 2136 ) 801 ( 356 , 3204 ) ( 712 , 1602 ) 1424 445 285157 P 142580 71293 31693 7957 P 1780 M 3293 1157 M P 1 P 1 12 3 M 1 M 4 89 356 M M 4 3 M 15860 1335 1 267 89 4 9 13 _____________________________________________________________________________ 7436 1069 ( 1 , 1142761 ) 571380 571381 1 P 0 1 1 _____________________________________________________________________________ 7437 1070 ( 2 , 572450 ) 286224 7439 1070 ( 50 , 22898 ) 11424 7438 7440 1070 1070 ( 10 , 114490 ) ( 214 , 5350 ) 57240 2568 286226 M 57250 11474 2782 2 M M M 0 2 4 214 10 4 _____________________________________________________________________________ 358 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7441 1071 ( 1 , 1147041 ) 7443 1071 ( 7 , 163863 ) 7442 7444 7445 7446 7447 7448 7449 7450 7451 7452 7453 7454 7455 7456 7457 7458 7459 7460 7461 7462 1071 1071 1071 1071 1071 1071 1071 1071 1071 1071 1071 1071 1071 1071 1071 1071 1071 1071 1071 1071 573520 ( 3 , 382347 ) 191172 ( 9 , 127449 ) 63720 573521 191175 P 81928 81935 M ( 17 , 67473 ) 33728 33745 M ( 27 , 42483 ) 21228 21255 ( 21 , 54621 ) ( 49 , 23409 ) ( 51 , 22491 ) ( 63 , 18207 ) 27300 11680 11220 63729 27321 11271 ( 119 , 9639 ) 4760 4879 M ( 153 , 7497 ) 3672 3825 ( 189 , 6069 ) ( 289 , 3969 ) ( 357 , 3213 ) ( 441 , 2601 ) ( 459 , 2499 ) ( 567 , 2023 ) ( 833 , 1377 ) ( 867 , 1323 ) 3828 2940 1840 1428 1080 1020 7121 21 3 1 M 51 63 P 3975 1 119 M 3 M 3129 153 M 2129 21 P 1785 1 M 1521 1479 17 P M ( 147 , 7803 ) 9 M 11729 357 M 9 M 728 1295 M 7 228 1095 M 3 272 1105 3 7 M 9135 7040 M M 9072 ( 81 , 14161 ) 1 M 51 17 4 18 22 _____________________________________________________________________________ 7463 1072 ( 2 , 574592 ) 287295 7465 1072 ( 8 , 143648 ) 71820 7464 1072 ( 4 , 287296 ) 143646 287297 143650 71828 P M M 1 4 2 359 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7466 1072 ( 16 , 71824 ) 35904 7468 1072 ( 64 , 17956 ) 8946 7467 7469 7470 7471 7472 1072 1072 1072 1072 1072 ( 32 , 35912 ) 17940 35920 17972 9010 M 4355 M ( 128 , 8978 ) 4425 4553 ( 268 , 4288 ) 2010 2278 ( 134 , 8576 ) ( 536 , 2144 ) 4221 804 M 1340 16 M 2 P 1 67 M M 4 134 268 2 8 10 _____________________________________________________________________________ 7473 1073 ( 1 , 1151329 ) 7475 1073 ( 37 , 31117 ) 7474 7476 1073 1073 575664 ( 29 , 39701 ) 19836 ( 841 , 1369 ) 264 15540 575665 19865 15577 1105 P P M M 29 37 1 2 1 2 4 _____________________________________________________________________________ 7477 1074 ( 2 , 576738 ) 288368 7479 1074 ( 18 , 64082 ) 32032 7478 7480 1074 1074 ( 6 , 192246 ) ( 358 , 3222 ) 96120 1432 288370 96126 32050 1790 M M M 2 6 M 2 0 4 358 4 _____________________________________________________________________________ 7481 1075 ( 1 , 1155625 ) 7483 1075 ( 25 , 46225 ) 23100 ( 125 , 9245 ) 4560 7482 7484 7485 7486 1075 1075 1075 1075 ( 5 , 231125 ) ( 43 , 26875 ) ( 215 , 5375 ) 577812 115560 13416 2580 577813 115565 23125 13459 4685 2795 P M M M M 1 M 25 5 43 215 5 360 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7487 1075 ( 625 , 1849 ) 612 1237 P 1 2 5 7 _____________________________________________________________________________ 7488 1076 ( 2 , 578888 ) 289443 7490 1076 ( 8 , 144722 ) 72357 7489 7491 1076 1076 ( 4 , 289444 ) ( 538 , 2152 ) 144720 807 289445 P 144724 72365 1345 M 1 M P 1 269 2 4 2 4 _____________________________________________________________________________ 7492 1077 ( 1 , 1159929 ) 7494 1077 ( 9 , 128881 ) 7493 7495 1077 1077 579964 ( 3 , 386643 ) 193320 ( 359 , 3231 ) 1436 64436 579965 193323 64445 1795 M P 1 M P 2 3 1 2 359 4 _____________________________________________________________________________ 7496 1078 ( 2 , 581042 ) 7498 1078 ( 22 , 52822 ) 7497 7499 7500 7501 7502 1078 1078 1078 1078 1078 290520 ( 14 , 83006 ) 41496 ( 98 , 11858 ) 5880 26400 ( 154 , 7546 ) 3696 ( 686 , 1694 ) 504 ( 242 , 4802 ) 2280 290522 41510 26422 M 5978 M 2522 M 3850 1190 M 14 M 22 98 M M 2 154 2 14 0 7 7 _____________________________________________________________________________ 7503 1079 ( 1 , 1164241 ) 7505 1079 ( 83 , 14027 ) 7504 1079 ( 13 , 89557 ) 582120 44772 6972 582121 44785 7055 M M P 13 83 1 361 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7506 1079 ( 169 , 6889 ) 3360 3529 P 2 2 1 4 _____________________________________________________________________________ 7507 1080 ( 2 , 583200 ) 291599 7509 1080 ( 6 , 194400 ) 97197 7508 7510 7511 7512 7513 7514 7515 7516 7517 7518 7519 7520 7521 7522 7523 7524 7525 7526 7527 7528 7529 7530 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 ( 4 , 291600 ) ( 8 , 145800 ) ( 10 , 116640 ) 145798 72896 58315 291601 P 145802 97203 M 72904 1 M 3 M 58325 8 M ( 12 , 97200 ) 48594 48606 M 6 ( 18 , 64800 ) 32391 32409 M 9 ( 16 , 72900 ) ( 20 , 58320 ) ( 24 , 48600 ) ( 30 , 38880 ) ( 32 , 36450 ) ( 36 , 32400 ) ( 40 , 29160 ) ( 48 , 24300 ) ( 50 , 23328 ) ( 54 , 21600 ) ( 60 , 19440 ) ( 72 , 16200 ) ( 80 , 14580 ) ( 90 , 12960 ) ( 96 , 12150 ) ( 100 , 11664 ) ( 108 , 10800 ) 36442 29150 24288 19425 18209 16182 14560 12126 11639 10773 36458 M 29170 16218 12174 7250 7330 M 5782 5346 6123 5882 5454 6 P M 6027 40 M 11689 6525 18 M 9750 6435 1 M 14600 8136 15 P 9690 8064 24 M 18241 10827 10 M 19455 M M M M M M 5 2 M 24312 2 1 27 30 72 10 45 3 2 54 362 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7531 1080 ( 120 , 9720 ) 4800 4920 M 120 7533 1080 ( 150 , 7776 ) 3813 3963 M 3 7532 7534 7535 7536 7537 7538 7539 7540 7541 7542 7543 7544 7545 7546 7547 7548 7549 7550 7551 7552 7553 7554 7555 7556 7557 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 1080 ( 144 , 8100 ) ( 160 , 7290 ) ( 162 , 7200 ) ( 180 , 6480 ) ( 200 , 5832 ) ( 216 , 5400 ) ( 240 , 4860 ) ( 270 , 4320 ) ( 288 , 4050 ) ( 300 , 3888 ) ( 324 , 3600 ) ( 360 , 3240 ) ( 400 , 2916 ) ( 432 , 2700 ) ( 450 , 2592 ) ( 480 , 2430 ) ( 486 , 2400 ) ( 540 , 2160 ) ( 600 , 1944 ) ( 648 , 1800 ) ( 720 , 1620 ) ( 800 , 1458 ) ( 810 , 1440 ) ( 864 , 1350 ) ( 900 , 1296 ) 3978 3565 3519 3150 2816 2592 2310 2025 1881 1794 1638 1440 1258 1134 1071 4122 3725 3681 3330 3016 2808 2550 2295 2169 2094 1962 1800 1658 1566 1521 M 18 M 5 M 9 M 90 M 8 M 216 M 30 M 135 M 9 M 6 M 18 M 360 M 2 M M 54 9 975 1455 M 15 810 1350 M 270 957 672 576 450 329 315 243 198 1443 1272 1224 1170 1129 1125 1107 1098 M M M M P M M M 3 24 72 90 1 45 27 18 363 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7558 1080 ( 972 , 1200 ) 114 1086 M 6 4 48 52 _____________________________________________________________________________ 7559 1081 ( 1 , 1168561 ) 7561 1081 ( 47 , 24863 ) 7560 7562 1081 1081 584280 ( 23 , 50807 ) 25392 ( 529 , 2209 ) 840 12408 584281 25415 12455 1369 P P M M 23 1 2 1 47 2 4 _____________________________________________________________________________ 7563 1082 ( 2 , 585362 ) 292680 292682 M 0 2 1 1 _____________________________________________________________________________ 7564 1083 ( 1 , 1172889 ) 7566 1083 ( 9 , 130321 ) 7565 7567 7568 7569 7570 1083 1083 1083 1083 1083 586444 ( 3 , 390963 ) 195480 ( 19 , 61731 ) 30856 ( 171 , 6859 ) 3344 ( 57 , 20577 ) ( 361 , 3249 ) 65156 10260 1444 586445 195483 P M 65165 P 10317 M 30875 1 1 M 3515 M 1805 M 3 19 57 19 2 5 361 7 _____________________________________________________________________________ 7571 1084 ( 2 , 587528 ) 293763 7573 1084 ( 8 , 146882 ) 73437 7572 7574 1084 1084 ( 4 , 293764 ) ( 542 , 2168 ) 146880 813 293765 146884 73445 1355 M P P 1 M 2 1 271 2 4 4 _____________________________________________________________________________ 364 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7575 1085 ( 1 , 1177225 ) 7577 1085 ( 7 , 168175 ) 7576 7578 7579 7580 7581 7582 7583 7584 7585 7586 7587 1085 1085 1085 1085 1085 1085 1085 1085 1085 1085 1085 588612 588613 ( 5 , 235445 ) 117720 ( 25 , 47089 ) 23532 23557 ( 35 , 33635 ) 16800 16835 ( 31 , 37975 ) ( 49 , 24025 ) 84084 18972 11988 117725 84091 M 19003 M 12037 3875 M ( 217 , 5425 ) 2604 2821 M ( 245 , 4805 ) ( 775 , 1519 ) ( 961 , 1225 ) 2280 372 132 3451 2525 1147 1093 M 1 31 35 P 1 155 M 7 217 M 5 M P 5 7 M 3720 3276 1 P ( 155 , 7595 ) ( 175 , 6727 ) P 31 1 4 9 13 _____________________________________________________________________________ 7588 1086 ( 2 , 589698 ) 294848 7590 1086 ( 18 , 65522 ) 32752 7589 7591 1086 1086 ( 6 , 196566 ) ( 362 , 3258 ) 98280 1448 294850 98286 32770 1810 M M M 6 M 2 2 0 4 362 4 _____________________________________________________________________________ 7592 1087 ( 1 , 1181569 ) 590784 590785 1 P 0 1 1 _____________________________________________________________________________ 7593 1088 ( 2 , 591872 ) 295935 7595 1088 ( 8 , 147968 ) 73980 7594 1088 ( 4 , 295936 ) 147966 295937 147970 73988 P M M 1 4 2 365 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7596 1088 ( 16 , 73984 ) 36984 37000 M 8 7598 1088 ( 34 , 34816 ) 17391 17425 M 17 7597 7599 7600 7601 7602 7603 7604 7605 7606 7607 7608 1088 1088 1088 1088 1088 1088 1088 1088 1088 1088 1088 ( 32 , 36992 ) ( 64 , 18496 ) 18480 18512 M 9216 9280 M ( 128 , 9248 ) 4560 4688 M ( 256 , 4624 ) 2184 2440 ( 68 , 17408 ) ( 136 , 8704 ) ( 272 , 4352 ) ( 512 , 2312 ) ( 544 , 2176 ) ( 578 , 2048 ) ( 1024 , 1156 ) 8670 4284 2040 8738 68 8 M M 735 1313 P 66 16 M 1412 1360 34 M 900 816 64 M 4420 2312 16 4 M 1090 M 136 272 1 2 2 14 16 _____________________________________________________________________________ 7609 1089 ( 1 , 1185921 ) 7611 1089 ( 9 , 131769 ) 7610 7612 7613 7614 7615 7616 7617 7618 7619 7620 1089 1089 1089 1089 1089 1089 1089 1089 1089 1089 592960 ( 3 , 395307 ) 197652 ( 11 , 107811 ) 53900 592961 197655 P 65880 65889 M ( 27 , 43923 ) 21948 21975 M ( 81 , 14641 ) 7280 7361 P ( 121 , 9801 ) 4840 4961 M ( 363 , 3267 ) 1452 1815 ( 33 , 35937 ) ( 99 , 11979 ) ( 297 , 3993 ) ( 891 , 1331 ) 17952 5940 1848 220 53911 17985 6039 2145 1111 1 M 9 M M M M M M 3 1 11 33 99 121 33 363 11 3 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 366 2 10 12 _____________________________________________________________________________ 7621 1090 ( 2 , 594050 ) 297024 7623 1090 ( 50 , 23762 ) 11856 7622 7624 1090 1090 ( 10 , 118810 ) ( 218 , 5450 ) 59400 2616 297026 M 59410 11906 2834 2 M M M 2 0 4 218 10 4 _____________________________________________________________________________ 7625 1091 ( 1 , 1190281 ) 595140 595141 1 P 0 1 1 _____________________________________________________________________________ 7626 1092 ( 2 , 596232 ) 298115 7628 1092 ( 6 , 198744 ) 99369 99375 M ( 12 , 99372 ) 49680 49692 M ( 18 , 66248 ) 33115 33133 7627 7629 7630 7631 7632 7633 7634 7635 7636 7637 7638 7639 7640 7641 1092 1092 1092 1092 1092 1092 1092 1092 1092 1092 1092 1092 1092 1092 ( 4 , 298116 ) ( 8 , 149058 ) ( 14 , 85176 ) ( 24 , 49686 ) ( 26 , 45864 ) ( 28 , 42588 ) ( 36 , 33124 ) ( 42 , 28392 ) ( 52 , 22932 ) ( 56 , 21294 ) ( 72 , 16562 ) ( 78 , 15288 ) 149056 74525 42581 24831 22919 21280 16544 14175 11440 10619 8245 7605 298117 P 149060 74533 1 12 7 P 1 M 22945 3 M 21308 13 M 16580 28 M 14217 4 M 11492 7683 3 M 24855 8317 M P 42595 10675 1 21 M P M M 52 1 7 39 4 367 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7642 1092 ( 84 , 14196 ) 7644 1092 ( 104 , 11466 ) 7643 7645 7646 7647 7648 7649 7650 7651 7652 7653 7654 7655 7656 7657 7658 7659 7660 7661 7662 7663 7664 7665 1092 1092 1092 1092 1092 1092 1092 1092 1092 1092 1092 1092 1092 1092 1092 1092 1092 1092 1092 1092 1092 1092 ( 98 , 12168 ) 7056 6035 5681 7140 6133 5785 M 84 P 1 M 13 ( 126 , 9464 ) 4669 4795 M 7 ( 168 , 7098 ) 3465 3633 M 21 ( 156 , 7644 ) ( 182 , 6552 ) ( 196 , 6084 ) ( 234 , 5096 ) ( 252 , 4732 ) ( 294 , 4056 ) ( 312 , 3822 ) ( 338 , 3528 ) ( 364 , 3276 ) ( 392 , 3042 ) ( 468 , 2548 ) ( 504 , 2366 ) ( 546 , 2184 ) ( 588 , 2028 ) ( 676 , 1764 ) ( 728 , 1638 ) ( 882 , 1352 ) ( 936 , 1274 ) ( 1014 , 1176 ) 3744 3185 2944 2431 2240 1881 1755 1595 1456 1325 1040 3900 3367 3140 2665 2492 2175 2067 1933 1820 1717 1508 M 156 M 91 M 4 M 13 M 28 M 3 M 39 P 1 P 1 M 364 M 52 931 1435 M 7 720 1308 M 12 819 544 455 235 169 81 1365 M 1220 M 1183 4 M 1117 1105 273 91 P 1095 1 M M 13 3 8 32 40 _____________________________________________________________________________ 7666 1093 ( 1 , 1194649 ) 597324 597325 P 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 368 1 0 1 _____________________________________________________________________________ 7667 1094 ( 2 , 598418 ) 299208 299210 M 0 2 1 1 _____________________________________________________________________________ 7668 1095 ( 1 , 1199025 ) 7670 1095 ( 5 , 239805 ) 7669 7671 7672 7673 7674 7675 7676 7677 7678 7679 7680 1095 1095 1095 1095 1095 1095 1095 1095 1095 1095 1095 599512 ( 3 , 399675 ) 199836 ( 9 , 133225 ) 66608 119900 599513 199839 119905 P 23993 P 39960 39975 ( 45 , 26645 ) 13300 13345 ( 73 , 16425 ) 23968 8249 M ( 219 , 5475 ) 2628 2847 M ( 365 , 3285 ) 1460 1825 ( 225 , 5329 ) ( 657 , 1825 ) 7956 2552 584 8031 M 1 5 15 1 M 5 73 M 2777 1241 3 M 8176 ( 75 , 15987 ) 1 M 66617 ( 15 , 79935 ) ( 25 , 47961 ) P 3 219 P 1 M 365 M 4 73 9 13 _____________________________________________________________________________ 7681 1096 ( 2 , 600608 ) 300303 7683 1096 ( 8 , 150152 ) 75072 7682 7684 7685 7686 7687 1096 1096 1096 1096 1096 ( 4 , 300304 ) 150150 ( 16 , 75076 ) 37530 ( 274 , 4384 ) 2055 ( 32 , 37538 ) ( 548 , 2192 ) 18753 822 300305 P 150154 75080 M 18785 P 37546 2329 1370 M M M M 1 8 2 1 137 274 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 369 2 5 7 _____________________________________________________________________________ 7688 1097 ( 1 , 1203409 ) 601704 601705 1 P 0 1 1 _____________________________________________________________________________ 7689 1098 ( 2 , 602802 ) 301400 7691 1098 ( 18 , 66978 ) 33480 ( 122 , 9882 ) 4880 5002 M ( 366 , 3294 ) 1464 1830 M 7690 7692 7693 7694 7695 1098 1098 1098 1098 1098 ( 6 , 200934 ) ( 54 , 22326 ) ( 162 , 7442 ) 100464 11136 3640 301402 M 100470 33498 11190 3802 M 2 M 18 M 6 6 122 M 2 0 7 366 7 _____________________________________________________________________________ 7696 1099 ( 1 , 1207801 ) 7698 1099 ( 49 , 24649 ) 7697 7699 1099 1099 ( 7 , 172543 ) ( 157 , 7693 ) 603900 86268 12300 3768 603901 86275 12349 3925 M P M 1 7 P 1 2 2 157 4 _____________________________________________________________________________ 7700 1100 ( 2 , 605000 ) 302499 7702 1100 ( 8 , 151250 ) 75621 75629 P ( 20 , 60500 ) 30240 30260 M 20 ( 40 , 30250 ) 15105 15145 M 5 7701 7703 7704 7705 7706 1100 1100 1100 1100 1100 ( 4 , 302500 ) ( 10 , 121000 ) ( 22 , 55000 ) 151248 60495 27489 302501 151252 60505 27511 P M M M 1 1 4 5 11 370 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7707 1100 ( 44 , 27500 ) 13728 7709 1100 ( 88 , 13750 ) 6831 7708 7710 7711 7712 7713 7714 7715 7716 7717 7718 7719 7720 7721 1100 1100 1100 1100 1100 1100 1100 1100 1100 1100 1100 1100 1100 ( 50 , 24200 ) ( 100 , 12100 ) ( 110 , 11000 ) 12075 6000 5445 13772 M 12125 6919 M 6100 5555 3125 M ( 242 , 5000 ) 2379 2621 P ( 250 , 4840 ) ( 440 , 2750 ) ( 484 , 2500 ) ( 500 , 2420 ) ( 550 , 2200 ) ( 968 , 1250 ) ( 1000 , 1210 ) 2295 1155 1008 2860 1595 25 220 1 5 55 M M 141 1109 P 105 55 M 1460 1375 100 M 960 825 11 M 2545 1492 25 M 2925 2640 M M ( 200 , 6050 ) ( 220 , 5500 ) 44 4 20 M 1105 275 1 M 4 5 18 22 _____________________________________________________________________________ 7722 1101 ( 1 , 1212201 ) 7724 1101 ( 9 , 134689 ) 7723 7725 1101 1101 606100 ( 3 , 404067 ) 202032 ( 367 , 3303 ) 1468 67340 606101 202035 67349 1835 M P 1 M P 2 3 1 2 367 4 _____________________________________________________________________________ 7726 1102 ( 2 , 607202 ) 7728 1102 ( 58 , 20938 ) 7727 7729 1102 1102 303600 ( 38 , 31958 ) 15960 ( 722 , 1682 ) 480 10440 303602 15998 10498 1202 M M M M 38 2 58 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 371 0 4 4 _____________________________________________________________________________ 7730 1103 ( 1 , 1216609 ) 608304 608305 1 P 0 1 1 _____________________________________________________________________________ 7731 1104 ( 2 , 609408 ) 304703 304705 P 7733 1104 ( 6 , 203136 ) 101565 101571 M 7732 7734 7735 7736 7737 7738 7739 7740 7741 7742 7743 7744 7745 7746 7747 7748 7749 7750 7751 7752 1104 1104 1104 1104 1104 1104 1104 1104 1104 1104 1104 1104 1104 1104 1104 1104 1104 1104 1104 1104 ( 4 , 304704 ) ( 8 , 152352 ) 152350 152354 M 76172 76180 M ( 16 , 76176 ) 38080 38096 M ( 24 , 50784 ) 25380 25404 M ( 12 , 101568 ) ( 18 , 67712 ) ( 32 , 38088 ) ( 36 , 33856 ) ( 46 , 26496 ) ( 48 , 25392 ) ( 64 , 19044 ) ( 72 , 16928 ) ( 92 , 13248 ) ( 96 , 12696 ) 50778 33847 19028 16910 13225 12672 50790 19060 9554 M 6578 6670 M 6300 6396 ( 128 , 9522 ) 4697 4825 ( 144 , 8464 ) 4160 4304 ( 138 , 8832 ) ( 184 , 6624 ) ( 192 , 6348 ) ( 276 , 4416 ) 4347 3220 3078 2070 4485 3404 3270 2346 12 4 2 M M M P M M M M M M 6 1 M 13271 3 16 M 16946 8500 4 P 9490 8428 2 M 33865 12720 1 23 2 48 4 46 12 1 69 16 92 6 138 372 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7753 1104 ( 288 , 4232 ) 1972 2260 M 4 7755 1104 ( 384 , 3174 ) 1395 1779 M 3 7754 7756 7757 7758 7759 7760 7761 1104 1104 1104 1104 1104 1104 1104 ( 368 , 3312 ) ( 414 , 2944 ) ( 552 , 2208 ) ( 576 , 2116 ) ( 736 , 1656 ) ( 828 , 1472 ) ( 1058 , 1152 ) 1472 1265 1840 1679 M 368 M 23 828 1380 M 276 460 1196 M 92 770 322 47 1346 M 1150 1105 2 M 46 P 1 4 27 31 _____________________________________________________________________________ 7762 1105 ( 1 , 1221025 ) 7764 1105 ( 13 , 93925 ) 46956 46969 M ( 25 , 48841 ) 24408 24433 P 7763 7765 7766 7767 7768 7769 7770 7771 7772 7773 7774 1105 1105 1105 1105 1105 1105 1105 1105 1105 1105 1105 ( 5 , 244205 ) ( 17 , 71825 ) ( 65 , 18785 ) 610512 122100 35904 610513 122105 35921 P 1 M 13 M 17 1 9360 9425 M ( 169 , 7225 ) 3528 3697 P 1 ( 289 , 4225 ) 1968 2257 P 1 ( 85 , 14365 ) ( 221 , 5525 ) ( 325 , 3757 ) ( 425 , 2873 ) ( 845 , 1445 ) 7140 2652 1716 1224 300 7225 1145 85 M 2041 1649 65 M 2873 221 M 13 M M 5 4 5 9 17 13 _____________________________________________________________________________ 7775 1106 ( 2 , 611618 ) 305808 305810 M 2 373 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7776 1106 ( 14 , 87374 ) 43680 7778 1106 ( 158 , 7742 ) 3792 7777 1106 ( 98 , 12482 ) 6192 43694 6290 M 3950 M M 2 0 4 14 158 4 _____________________________________________________________________________ 7779 1107 ( 1 , 1225449 ) 7781 1107 ( 9 , 136161 ) 7780 7782 7783 7784 7785 7786 7787 7788 1107 1107 1107 1107 1107 1107 1107 1107 612724 ( 3 , 408483 ) 204240 ( 27 , 45387 ) 22680 ( 81 , 15129 ) 7524 ( 41 , 29889 ) 68076 14924 612725 204243 68085 M 14965 M 22707 M 2643 M 4920 5043 ( 369 , 3321 ) 1476 1845 ( 729 , 1681 ) 2400 476 1205 1 M 3 9 M 7605 ( 123 , 9963 ) ( 243 , 5043 ) P 27 9 M 41 123 3 M P 1 2 369 8 10 _____________________________________________________________________________ 7789 1108 ( 2 , 613832 ) 306915 7791 1108 ( 8 , 153458 ) 76725 7790 7792 1108 1108 ( 4 , 306916 ) ( 554 , 2216 ) 153456 831 306917 153460 76733 1385 M P P 1 M 1 277 2 2 4 4 _____________________________________________________________________________ 7793 1109 ( 1 , 1229881 ) 614940 614941 1 P 0 1 1 _____________________________________________________________________________ 7794 1110 ( 2 , 616050 ) 308024 308026 M 2 374 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7795 1110 ( 6 , 205350 ) 102672 7797 1110 ( 18 , 68450 ) 34216 34234 M 2 ( 50 , 24642 ) 12296 12346 M 2 7796 7798 7799 7800 7801 7802 7803 7804 7805 7806 1110 1110 1110 1110 1110 1110 1110 1110 1110 1110 ( 10 , 123210 ) ( 30 , 41070 ) ( 74 , 16650 ) 61600 20520 102678 61610 20550 M 8362 M ( 150 , 8214 ) 4032 4182 M ( 370 , 3330 ) 1480 1850 ( 222 , 5550 ) ( 450 , 2738 ) ( 666 , 1850 ) 6800 2664 1144 592 6890 1258 10 30 74 M 2886 1594 6 M 8288 ( 90 , 13690 ) M 10 6 M 222 M 370 M 2 M 74 0 13 13 _____________________________________________________________________________ 7807 1111 ( 1 , 1234321 ) 7809 1111 ( 101 , 12221 ) 7808 7810 1111 1111 ( 11 , 112211 ) ( 121 , 10201 ) 617160 56100 6060 5040 617161 56111 6161 M 5161 M P P 2 1 11 101 2 1 4 _____________________________________________________________________________ 7811 1112 ( 2 , 618272 ) 309135 7813 1112 ( 8 , 154568 ) 77280 7812 7814 7815 7816 7817 1112 1112 1112 1112 1112 ( 4 , 309136 ) 154566 ( 16 , 77284 ) 38634 ( 278 , 4448 ) 2085 ( 32 , 38642 ) ( 556 , 2224 ) 19305 834 309137 P 154570 77288 M 19337 P 38650 2363 1390 M M M M 1 8 2 1 139 278 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 375 2 5 7 _____________________________________________________________________________ 7818 1113 ( 1 , 1238769 ) 7820 1113 ( 7 , 176967 ) 7819 7821 7822 7823 7824 7825 7826 7827 7828 7829 7830 1113 1113 1113 1113 1113 1113 1113 1113 1113 1113 1113 619384 ( 3 , 412923 ) 206460 ( 9 , 137641 ) 68816 619385 206463 P 88480 88487 M ( 21 , 58989 ) 29484 29505 M ( 53 , 23373 ) 11660 11713 ( 49 , 25281 ) ( 63 , 19663 ) 12616 9800 68825 12665 9863 M 3975 M ( 147 , 8427 ) 4140 4287 ( 371 , 3339 ) 1484 1855 ( 159 , 7791 ) ( 441 , 2809 ) ( 477 , 2597 ) 3816 1184 1060 1625 1537 1 M 3 7 P 1 P 1 21 M 7 M 53 3 159 M 371 P 1 M 4 9 53 13 _____________________________________________________________________________ 7831 1114 ( 2 , 620498 ) 310248 310250 M 0 2 1 1 _____________________________________________________________________________ 7832 1115 ( 1 , 1243225 ) 7834 1115 ( 25 , 49729 ) 7833 7835 1115 1115 ( 5 , 248645 ) ( 223 , 5575 ) 621612 124320 24852 2676 621613 124325 24877 2899 M P P 1 M 2 1 2 223 5 4 _____________________________________________________________________________ 7836 1116 ( 2 , 622728 ) 311363 311365 P 1 376 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7837 1116 ( 4 , 311364 ) 155680 7839 1116 ( 8 , 155682 ) 77837 77845 P ( 18 , 69192 ) 34587 34605 M 9 ( 36 , 34596 ) 17280 17316 M 36 7838 7840 7841 7842 7843 7844 7845 7846 7847 7848 7849 7850 7851 7852 7853 7854 7855 7856 7857 1116 1116 1116 1116 1116 1116 1116 1116 1116 1116 1116 1116 1116 1116 1116 1116 1116 1116 1116 ( 6 , 207576 ) ( 12 , 103788 ) ( 24 , 51894 ) ( 54 , 23064 ) ( 62 , 20088 ) ( 72 , 17298 ) ( 108 , 11532 ) ( 124 , 10044 ) 103785 51888 25935 11505 10013 8613 5712 4960 155684 103791 51900 25959 11559 10075 8685 M 5820 5084 ( 216 , 5766 ) 2775 2991 M ( 324 , 3844 ) ( 372 , 3348 ) ( 558 , 2232 ) ( 648 , 1922 ) ( 744 , 1674 ) 1760 1488 M 465 1209 M 1285 1 124 93 3 31 4 M 1395 31 12 M 837 637 9 M 2084 1860 M M 2635 12 3 M 3441 3 3 M P 2387 1 M 3925 ( 248 , 5022 ) M M 3763 3255 4 M ( 162 , 7688 ) ( 186 , 6696 ) M 372 279 P 1 93 4 18 22 _____________________________________________________________________________ 7858 1117 ( 1 , 1247689 ) 623844 623845 1 P 0 1 1 _____________________________________________________________________________ 7859 1118 ( 2 , 624962 ) 312480 312482 M 2 377 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7860 1118 ( 26 , 48074 ) 24024 7862 1118 ( 338 , 3698 ) 1680 7861 1118 ( 86 , 14534 ) 7224 24050 7310 2018 M M M 26 86 0 4 2 4 _____________________________________________________________________________ 7863 1119 ( 1 , 1252161 ) 7865 1119 ( 9 , 139129 ) 7864 7866 1119 1119 626080 ( 3 , 417387 ) 208692 ( 373 , 3357 ) 1492 69560 626081 208695 69569 1865 M P 1 M P 2 3 1 2 373 4 _____________________________________________________________________________ 7867 1120 ( 2 , 627200 ) 313599 7869 1120 ( 8 , 156800 ) 78396 78404 M ( 14 , 89600 ) 44793 44807 M 7 ( 20 , 62720 ) 31350 31370 M 10 7868 7870 7871 7872 7873 7874 7875 7876 7877 7878 7879 7880 7881 7882 1120 1120 1120 1120 1120 1120 1120 1120 1120 1120 1120 1120 1120 1120 ( 4 , 313600 ) ( 10 , 125440 ) ( 16 , 78400 ) ( 28 , 44800 ) ( 32 , 39200 ) ( 40 , 31360 ) ( 50 , 25088 ) ( 56 , 22400 ) ( 64 , 19600 ) ( 70 , 17920 ) ( 80 , 15680 ) ( 98 , 12800 ) 156798 62715 39192 22386 19584 15660 12519 11172 313601 P 156802 62725 22414 M 7800 7880 M 6449 20 P 9832 6351 32 M 12569 M P M 5 14 M 15700 2 8 M 19616 8995 4 M 9768 8925 M M 39208 11228 1 1 8 28 35 40 1 378 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7883 1120 ( 100 , 12544 ) 7885 1120 ( 128 , 9800 ) 4836 4964 M 4 ( 160 , 7840 ) 3840 4000 M 160 7884 7886 7887 7888 7889 7890 7891 7892 7893 7894 7895 7896 7897 7898 7899 7900 7901 7902 7903 7904 7905 7906 1120 1120 1120 1120 1120 1120 1120 1120 1120 1120 1120 1120 1120 1120 1120 1120 1120 1120 1120 1120 1120 1120 ( 112 , 11200 ) ( 140 , 8960 ) ( 196 , 6400 ) ( 200 , 6272 ) ( 224 , 5600 ) ( 256 , 4900 ) ( 280 , 4480 ) ( 320 , 3920 ) ( 350 , 3584 ) ( 392 , 3200 ) ( 400 , 3136 ) ( 448 , 2800 ) ( 490 , 2560 ) ( 512 , 2450 ) ( 560 , 2240 ) ( 640 , 1960 ) ( 700 , 1792 ) ( 784 , 1600 ) ( 800 , 1568 ) ( 896 , 1400 ) ( 980 , 1280 ) 6222 5544 4410 3102 3036 2688 2322 2100 1800 1617 1404 1368 1176 1035 6322 5656 4550 3298 3236 2912 2578 2380 2120 1967 1796 1768 1624 1525 M M 384 252 150 1184 1148 1130 2 M 140 M 40 M 7 M 4 M 8 M 56 M M 1192 224 M 1300 408 4 M 660 1246 2 M P 546 70 M 1481 1400 56 M 969 840 2 1 M 280 20 M 14 M 8 M 32 M M 5 28 10 4 36 40 _____________________________________________________________________________ 7907 1121 ( 1 , 1256641 ) 628320 628321 P 1 379 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7908 1121 ( 19 , 66139 ) 33060 7910 1121 ( 361 , 3481 ) 1560 7909 1121 ( 59 , 21299 ) 10620 33079 M 10679 1921 P 19 M 2 2 59 1 4 _____________________________________________________________________________ 7911 1122 ( 2 , 629442 ) 314720 7913 1122 ( 18 , 69938 ) 34960 34978 M ( 34 , 37026 ) 18496 18530 M 7912 7914 7915 7916 7917 7918 7919 7920 7921 7922 7923 1122 1122 1122 1122 1122 1122 1122 1122 1122 1122 1122 ( 6 , 209814 ) ( 22 , 57222 ) ( 66 , 19074 ) 104904 28600 314722 M 104910 28622 2 M 2 M 22 34 9504 9570 M ( 198 , 6358 ) 3080 3278 M 22 ( 306 , 4114 ) 1904 2210 M 34 ( 102 , 12342 ) ( 242 , 5202 ) ( 374 , 3366 ) ( 578 , 2178 ) ( 726 , 1734 ) 6120 2480 1496 800 504 6222 1870 1378 1230 66 M 2722 6 102 M 2 M M 2 M 374 6 0 13 13 _____________________________________________________________________________ 7924 1123 ( 1 , 1261129 ) 630564 630565 1 P 0 1 1 _____________________________________________________________________________ 7925 1124 ( 2 , 631688 ) 315843 7927 1124 ( 8 , 157922 ) 78957 7926 7928 1124 1124 ( 4 , 315844 ) ( 562 , 2248 ) 157920 843 315845 157924 78965 1405 M P P M 1 1 281 4 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 380 2 2 4 _____________________________________________________________________________ 7929 1125 ( 1 , 1265625 ) 7931 1125 ( 5 , 253125 ) 7930 7932 7933 7934 7935 7936 7937 7938 7939 7940 7941 7942 7943 7944 7945 1125 1125 1125 1125 1125 1125 1125 1125 1125 1125 1125 1125 1125 1125 1125 632812 ( 3 , 421875 ) 210936 ( 9 , 140625 ) 70308 126560 632813 210939 70317 M 25325 M 42180 42195 ( 27 , 46875 ) 23424 23451 ( 45 , 28125 ) ( 75 , 16875 ) ( 81 , 15625 ) ( 125 , 10125 ) 25300 14040 8400 7772 5000 1 M 126565 ( 15 , 84375 ) ( 25 , 50625 ) P 3 M 9 M 15 25 M 14085 8475 M 7853 3 M 45 75 P 5125 1 M 125 ( 135 , 9375 ) 4620 4755 M 15 ( 375 , 3375 ) 1500 1875 M 375 ( 225 , 5625 ) ( 405 , 3125 ) ( 625 , 2025 ) ( 675 , 1875 ) 2700 1360 700 600 2925 1765 1325 1275 M 225 M 5 M M 5 25 75 2 15 17 _____________________________________________________________________________ 7946 1126 ( 2 , 633938 ) 316968 316970 M 0 2 1 1 _____________________________________________________________________________ 7947 1127 ( 1 , 1270129 ) 7949 1127 ( 23 , 55223 ) 7948 1127 ( 7 , 181447 ) 635064 90720 27600 635065 90727 27623 M M P 7 23 1 381 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7950 1127 ( 49 , 25921 ) 7952 1127 ( 343 , 3703 ) 7951 7953 1127 1127 12936 ( 161 , 7889 ) 3864 ( 529 , 2401 ) 936 1680 12985 4025 2023 1465 M M 49 161 M P 2 1 7 5 7 _____________________________________________________________________________ 7954 1128 ( 2 , 636192 ) 318095 318097 P 7956 1128 ( 6 , 212064 ) 106029 106035 M 7955 7957 7958 7959 7960 7961 7962 7963 7964 7965 7966 7967 7968 7969 7970 7971 7972 7973 7974 1128 1128 1128 1128 1128 1128 1128 1128 1128 1128 1128 1128 1128 1128 1128 1128 1128 1128 1128 ( 4 , 318096 ) ( 8 , 159048 ) 159046 159050 M 79520 79528 M ( 16 , 79524 ) 39754 39770 M ( 24 , 53016 ) 26496 26520 M ( 12 , 106032 ) ( 18 , 70688 ) ( 32 , 39762 ) ( 36 , 35344 ) ( 48 , 26508 ) ( 72 , 17672 ) ( 94 , 13536 ) ( 96 , 13254 ) 53010 35335 19865 17654 13230 53022 19897 17690 8872 M 6579 6675 M 6815 ( 144 , 8836 ) 4346 4490 ( 282 , 4512 ) 2115 2397 ( 188 , 6768 ) ( 288 , 4418 ) ( 376 , 3384 ) ( 564 , 2256 ) ( 752 , 1692 ) 3290 2065 1504 846 470 3478 2353 1880 1410 1222 8 2 P 1 P 1 M M M M P M M M M 3 6 24 M 8800 6721 2 M 35353 13278 1 2 8 6 47 3 2 94 141 1 376 282 94 382 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7975 1128 ( 846 , 1504 ) 329 1175 M 47 4 18 22 _____________________________________________________________________________ 7976 1129 ( 1 , 1274641 ) 637320 637321 1 P 0 1 1 _____________________________________________________________________________ 7977 1130 ( 2 , 638450 ) 319224 7979 1130 ( 50 , 25538 ) 12744 7978 7980 1130 1130 ( 10 , 127690 ) ( 226 , 5650 ) 63840 2712 319226 M 63850 12794 2938 2 M M M 2 0 4 226 10 4 _____________________________________________________________________________ 7981 1131 ( 1 , 1279161 ) 7983 1131 ( 9 , 142129 ) 7982 7984 7985 7986 7987 7988 7989 7990 7991 7992 7993 1131 1131 1131 1131 1131 1131 1131 1131 1131 1131 1131 639580 639581 ( 3 , 426387 ) 213192 ( 13 , 98397 ) 49192 49205 ( 39 , 32799 ) 16380 16419 ( 29 , 44109 ) ( 87 , 14703 ) 71060 22040 P 213195 P 22069 M M ( 169 , 7569 ) 3700 3869 P ( 377 , 3393 ) 1508 1885 M ( 261 , 4901 ) ( 507 , 2523 ) ( 841 , 1521 ) 2320 1008 340 5525 2581 1515 1181 13 29 M 39 87 M 1 M 13 29 377 M P 3 1 M 7395 5408 M 71069 7308 ( 117 , 10933 ) 1 4 1 9 3 13 _____________________________________________________________________________ 383 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 7994 1132 ( 2 , 640712 ) 320355 7996 1132 ( 8 , 160178 ) 80085 7995 7997 1132 1132 ( 4 , 320356 ) ( 566 , 2264 ) 160176 849 320357 160180 80093 1415 P M P M 1 1 283 2 4 2 4 _____________________________________________________________________________ 7998 1133 ( 1 , 1283689 ) 8000 1133 ( 103 , 12463 ) 7999 8001 1133 1133 ( 11 , 116699 ) ( 121 , 10609 ) 641844 58344 6180 5244 641845 58355 6283 M 5365 P M P 2 1 11 103 1 2 4 _____________________________________________________________________________ 8002 1134 ( 2 , 642978 ) 321488 8004 1134 ( 14 , 91854 ) 45920 45934 M ( 42 , 30618 ) 15288 15330 M 8003 8005 8006 8007 8008 8009 8010 8011 8012 8013 8014 1134 1134 1134 1134 1134 1134 1134 1134 1134 1134 1134 ( 6 , 214326 ) ( 18 , 71442 ) ( 54 , 23814 ) ( 98 , 13122 ) 107160 35712 11880 321490 M 107166 35730 11934 2 M 14 M M 18 42 6610 M ( 162 , 7938 ) 3888 4050 M 162 ( 378 , 3402 ) 1512 1890 M 378 ( 294 , 4374 ) ( 486 , 2646 ) ( 882 , 1458 ) 5040 2040 1080 288 5166 2334 1566 1170 M 126 M 6 M M 2 54 6512 ( 126 , 10206 ) 6 54 0 18 13 13 _____________________________________________________________________________ 384 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8015 1135 ( 1 , 1288225 ) 8017 1135 ( 25 , 51529 ) 8016 8018 1135 1135 ( 5 , 257645 ) ( 227 , 5675 ) 644112 128820 25752 2724 644113 128825 25777 2951 M P 1 M P 2 5 1 2 227 4 _____________________________________________________________________________ 8019 1136 ( 2 , 645248 ) 322623 8021 1136 ( 8 , 161312 ) 80652 8020 8022 8023 8024 8025 8026 8027 8028 1136 1136 1136 1136 1136 1136 1136 1136 ( 4 , 322624 ) 161310 322625 161314 80660 M 20180 M ( 16 , 80656 ) 40320 40336 ( 64 , 20164 ) 10050 10114 ( 32 , 40328 ) ( 128 , 10082 ) 20148 4977 ( 142 , 9088 ) 4473 ( 568 , 2272 ) 852 ( 284 , 4544 ) 2130 P 4 2 16 4 M P 4615 1420 M M 5105 2414 1 1 M 2 71 M 142 M 284 2 8 10 _____________________________________________________________________________ 8029 1137 ( 1 , 1292769 ) 8031 1137 ( 9 , 143641 ) 8030 8032 1137 1137 646384 ( 3 , 430923 ) 215460 ( 379 , 3411 ) 1516 71816 646385 215463 71825 1895 M P P 1 M 2 1 2 379 3 4 _____________________________________________________________________________ 8033 1138 ( 2 , 647522 ) 323760 323762 M 0 1 2 1 _____________________________________________________________________________ 385 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8034 1139 ( 1 , 1297321 ) 8036 1139 ( 67 , 19363 ) 8035 8037 1139 1139 648660 ( 17 , 76313 ) 38148 ( 289 , 4489 ) 2100 9648 648661 38165 9715 2389 M P M P 1 17 67 2 2 1 4 _____________________________________________________________________________ 8038 1140 ( 2 , 649800 ) 324899 324901 P 8040 1140 ( 6 , 216600 ) 108297 108303 M 8039 8041 8042 8043 8044 8045 8046 8047 8048 8049 8050 8051 8052 8053 8054 8055 8056 8057 8058 1140 1140 1140 1140 1140 1140 1140 1140 1140 1140 1140 1140 1140 1140 1140 1140 1140 1140 1140 ( 4 , 324900 ) ( 8 , 162450 ) ( 10 , 129960 ) ( 12 , 108300 ) 162448 81221 64975 54144 162452 M 81229 P 64985 54156 36109 P ( 24 , 54150 ) 27063 27087 M ( 30 , 43320 ) ( 36 , 36100 ) ( 38 , 34200 ) ( 40 , 32490 ) ( 50 , 25992 ) ( 60 , 21660 ) ( 72 , 18050 ) ( 76 , 17100 ) ( 90 , 14440 ) ( 100 , 12996 ) ( 114 , 11400 ) ( 120 , 10830 ) 21645 18032 17081 16225 12971 10800 32500 18068 P 7175 7265 M 6448 5643 5355 6548 5757 5475 19 5 P 9061 8588 4 M 13021 M M M M M 12 15 M 16265 5 3 M 17119 3 20 M 8989 8512 1 M 21675 10860 1 M 36091 32480 4 M ( 18 , 72200 ) ( 20 , 64980 ) 1 1 60 1 76 5 4 57 15 386 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8059 1140 ( 150 , 8664 ) 4257 4407 M 3 8061 1140 ( 180 , 7220 ) 3520 3700 M 20 8060 8062 8063 8064 8065 8066 8067 8068 8069 8070 8071 8072 8073 8074 8075 8076 8077 1140 1140 1140 1140 1140 1140 1140 1140 1140 1140 1140 1140 1140 1140 1140 1140 1140 ( 152 , 8550 ) ( 190 , 6840 ) ( 200 , 6498 ) ( 228 , 5700 ) ( 300 , 4332 ) ( 342 , 3800 ) ( 360 , 3610 ) ( 380 , 3420 ) ( 450 , 2888 ) ( 456 , 2850 ) ( 570 , 2280 ) ( 600 , 2166 ) ( 684 , 1900 ) ( 722 , 1800 ) ( 760 , 1710 ) ( 900 , 1444 ) ( 950 , 1368 ) 4199 3325 3149 2736 2016 1729 1625 1520 1219 1197 4351 3515 3349 2964 2316 2071 1985 1900 1669 1653 M 19 M 95 P 1 M 228 M 12 M 19 M 5 M 380 P 1 M 57 855 1425 M 285 608 1292 M 76 783 539 475 272 209 1383 M 1261 3 P 1235 1 M 1172 95 M 1159 4 M 19 8 32 40 _____________________________________________________________________________ 8078 1141 ( 1 , 1301881 ) 8080 1141 ( 49 , 26569 ) 8079 8081 1141 1141 ( 7 , 185983 ) ( 163 , 7987 ) 650940 92988 13260 3912 650941 92995 13309 4075 M M P 7 P 2 1 1 2 163 4 _____________________________________________________________________________ 387 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8082 1142 ( 2 , 652082 ) 326040 326042 M 0 2 1 1 _____________________________________________________________________________ 8083 1143 ( 1 , 1306449 ) 8085 1143 ( 9 , 145161 ) 8084 8086 8087 8088 8089 1143 1143 1143 1143 1143 653224 ( 3 , 435483 ) 217740 ( 27 , 48387 ) 24180 ( 127 , 10287 ) 5080 ( 81 , 16129 ) ( 381 , 3429 ) 72576 653225 P 217743 72585 24207 M 8024 8105 P 1524 1905 M 5207 1 M 9 M 1 M 2 3 5 3 127 381 7 _____________________________________________________________________________ 8090 1144 ( 2 , 654368 ) 327183 8092 1144 ( 8 , 163592 ) 81792 8091 8093 8094 8095 8096 8097 8098 8099 8100 8101 8102 8103 8104 1144 1144 1144 1144 1144 1144 1144 1144 1144 1144 1144 1144 1144 ( 4 , 327184 ) 163590 327185 163594 81800 M 29755 M ( 16 , 81796 ) 40890 40906 ( 26 , 50336 ) 25155 25181 ( 22 , 59488 ) ( 32 , 40898 ) ( 44 , 29744 ) ( 52 , 25168 ) ( 88 , 14872 ) 29733 20433 14850 12558 P 14894 ( 176 , 7436 ) 3630 3806 M ( 242 , 5408 ) 2583 2825 P ( 208 , 6292 ) ( 286 , 4576 ) 3042 2145 3250 2431 11 13 1 M M 6344 2 P 7480 6240 8 M 7392 ( 104 , 12584 ) M M 20465 12610 1 M M M M 22 26 88 104 22 26 1 143 2 388 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8105 1144 ( 338 , 3872 ) 1767 2105 P 8107 1144 ( 416 , 3146 ) 1365 1781 M 8106 8108 8109 8110 8111 1144 1144 1144 1144 1144 ( 352 , 3718 ) ( 484 , 2704 ) ( 572 , 2288 ) ( 676 , 1936 ) ( 968 , 1352 ) 1683 1110 2035 1594 1 M 11 13 M 2 858 1430 M 286 192 1160 M 8 630 1306 M 2 4 18 22 _____________________________________________________________________________ 8112 1145 ( 1 , 1311025 ) 8114 1145 ( 25 , 52441 ) 8113 8115 1145 1145 ( 5 , 262205 ) ( 229 , 5725 ) 655512 131100 26208 2748 655513 131105 26233 2977 M P 1 M P 2 5 1 2 229 4 _____________________________________________________________________________ 8116 1146 ( 2 , 656658 ) 328328 8118 1146 ( 18 , 72962 ) 36472 8117 8119 1146 1146 ( 6 , 218886 ) ( 382 , 3438 ) 109440 1528 328330 M 109446 36490 1910 M M 2 M 0 6 2 4 382 4 _____________________________________________________________________________ 8120 1147 ( 1 , 1315609 ) 8122 1147 ( 37 , 35557 ) 8121 8123 1147 1147 657804 ( 31 , 42439 ) 21204 ( 961 , 1369 ) 204 17760 657805 21235 17797 1165 P M M 2 P 31 1 2 1 37 4 _____________________________________________________________________________ 389 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8124 1148 ( 2 , 658952 ) 329475 8126 1148 ( 8 , 164738 ) 82365 8125 8127 8128 8129 8130 8131 8132 8133 8134 8135 8136 1148 1148 1148 1148 1148 1148 1148 1148 1148 1148 1148 ( 4 , 329476 ) 164736 329477 164740 P 23548 M 47061 47075 ( 56 , 23534 ) 11739 11795 ( 82 , 16072 ) 23520 8077 M ( 164 , 8036 ) 3936 4100 M ( 328 , 4018 ) 1845 2173 ( 196 , 6724 ) ( 392 , 3362 ) ( 574 , 2296 ) 6675 3264 1485 861 6773 1877 1435 7 28 M 7 41 P 3460 4 1 M 7995 ( 98 , 13448 ) 1 M 82373 ( 14 , 94136 ) ( 28 , 47068 ) P 1 164 M 4 M 41 P 1 M 287 4 9 13 _____________________________________________________________________________ 8137 1149 ( 1 , 1320201 ) 8139 1149 ( 9 , 146689 ) 8138 8140 1149 1149 660100 ( 3 , 440067 ) 220032 ( 383 , 3447 ) 1532 73340 660101 220035 73349 1915 M P 1 M P 2 3 1 2 383 4 _____________________________________________________________________________ 8141 1150 ( 2 , 661250 ) 330624 8143 1150 ( 46 , 28750 ) 14352 ( 230 , 5750 ) 2760 8142 8144 8145 8146 1150 1150 1150 1150 ( 10 , 132250 ) ( 50 , 26450 ) ( 250 , 5290 ) 66120 13200 2520 330626 M 66130 M 14398 13250 2990 2770 M M M M 2 10 46 50 230 10 390 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8147 1150 ( 1058 , 1250 ) 96 1154 M 2 0 7 7 _____________________________________________________________________________ 8148 1151 ( 1 , 1324801 ) 662400 662401 1 P 0 1 1 _____________________________________________________________________________ 8149 1152 ( 2 , 663552 ) 331775 331777 P 8151 1152 ( 6 , 221184 ) 110589 110595 M 8150 8152 8153 8154 8155 8156 8157 8158 8159 8160 8161 8162 8163 8164 8165 8166 8167 8168 8169 1152 1152 1152 1152 1152 1152 1152 1152 1152 1152 1152 1152 1152 1152 1152 1152 1152 1152 1152 ( 4 , 331776 ) ( 8 , 165888 ) 165886 165890 1 M 2 82940 82948 M ( 16 , 82944 ) 41464 41480 M 8 ( 24 , 55296 ) 27636 27660 M 12 ( 12 , 110592 ) ( 18 , 73728 ) ( 32 , 41472 ) ( 36 , 36864 ) ( 48 , 27648 ) ( 54 , 24576 ) ( 64 , 20736 ) ( 72 , 18432 ) ( 96 , 13824 ) ( 108 , 12288 ) ( 128 , 10368 ) 55290 36855 20720 18414 13800 12261 10336 9180 6864 6090 5120 55302 M 36873 M 20752 6960 6198 5248 M M M 4680 M ( 192 , 6912 ) 3360 3552 M ( 216 , 6144 ) 2964 4177 3180 M M 4536 4015 24 M ( 144 , 9216 ) ( 162 , 8192 ) 18 M 12315 9252 16 M 13848 P M 6 9 M 18450 10400 4 3 3 32 36 48 6 128 72 1 96 12 391 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8170 1152 ( 256 , 5184 ) 2464 2720 M 32 8172 1152 ( 324 , 4096 ) 1886 2210 M 2 8171 8173 8174 8175 8176 8177 8178 8179 8180 1152 1152 1152 1152 1152 1152 1152 1152 1152 ( 288 , 4608 ) ( 384 , 3456 ) ( 432 , 3072 ) ( 512 , 2592 ) ( 576 , 2304 ) ( 648 , 2048 ) ( 768 , 1728 ) ( 864 , 1536 ) ( 1024 , 1296 ) 2160 1536 1320 1040 2448 M 1920 M 1752 1552 144 384 M 24 M 16 864 1440 M 288 480 1248 M 96 700 336 136 1348 M 1200 1160 4 M 48 M 8 2 30 32 _____________________________________________________________________________ 8181 1153 ( 1 , 1329409 ) 664704 664705 1 P 0 1 1 _____________________________________________________________________________ 8182 1154 ( 2 , 665858 ) 332928 332930 M 0 2 1 1 _____________________________________________________________________________ 8183 1155 ( 1 , 1334025 ) 8185 1155 ( 5 , 266805 ) 8184 8186 8187 8188 8189 8190 1155 1155 1155 1155 1155 1155 667012 ( 3 , 444675 ) 222336 ( 7 , 190575 ) 95284 ( 9 , 148225 ) ( 11 , 121275 ) ( 15 , 88935 ) ( 21 , 63525 ) 133400 74108 60632 44460 31752 667013 P 222339 133405 95291 74117 60643 44475 31773 1 M M P M M M M 3 5 7 1 11 15 21 392 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8191 1155 ( 25 , 53361 ) 26668 26693 P 8193 1155 ( 35 , 38115 ) 19040 19075 M 8192 8194 8195 8196 8197 8198 8199 8200 8201 8202 8203 8204 8205 8206 8207 8208 8209 8210 8211 8212 8213 8214 8215 8216 8217 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 1155 ( 33 , 40425 ) ( 45 , 29645 ) ( 49 , 27225 ) ( 55 , 24255 ) ( 63 , 21175 ) ( 75 , 17787 ) ( 77 , 17325 ) ( 99 , 13475 ) ( 105 , 12705 ) ( 121 , 11025 ) 20196 14800 13588 12100 10556 20229 M 14845 12155 M 6688 6787 M 6300 5452 6405 5573 5 1 M 8931 8701 35 P 8856 8624 33 M 13637 10619 1 55 M 3 M 77 11 M 105 P 1 ( 147 , 9075 ) 4464 4611 M 3 ( 175 , 7623 ) 3724 3899 M 7 ( 165 , 8085 ) ( 225 , 5929 ) ( 231 , 5775 ) ( 245 , 5445 ) ( 275 , 4851 ) ( 315 , 4235 ) ( 363 , 3675 ) ( 385 , 3465 ) ( 441 , 3025 ) ( 495 , 2695 ) ( 525 , 2541 ) ( 539 , 2475 ) ( 605 , 2205 ) 3960 2852 2772 2600 2288 1960 1656 1540 1292 1100 1008 968 800 4125 3077 3003 2845 2563 2275 2019 1925 1733 1595 1533 1507 1405 M P M 165 1 231 M 5 M 11 M 35 M M P M M M M 7 3 385 1 55 21 11 5 393 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8218 1155 ( 693 , 1925 ) 616 1309 M 77 8220 1155 ( 825 , 1617 ) 396 1221 M 33 8219 8221 8222 1155 1155 1155 ( 735 , 1815 ) ( 847 , 1575 ) ( 1089 , 1225 ) 540 364 68 1275 M 1211 1157 15 M 7 P 1 8 32 40 _____________________________________________________________________________ 8223 1156 ( 2 , 668168 ) 334083 8225 1156 ( 8 , 167042 ) 83517 8224 8226 8227 8228 8229 1156 1156 1156 1156 1156 ( 4 , 334084 ) 167040 ( 34 , 39304 ) 19635 ( 136 , 9826 ) 4845 ( 68 , 19652 ) ( 578 , 2312 ) 9792 867 334085 P 167044 83525 19669 9860 4981 1445 M P M 1 M 4 17 68 M M 1 17 289 2 5 7 _____________________________________________________________________________ 8230 1157 ( 1 , 1338649 ) 8232 1157 ( 89 , 15041 ) 8231 8233 1157 1157 ( 13 , 102973 ) ( 169 , 7921 ) 669324 51480 7476 3876 669325 51493 7565 4045 M P M P 2 1 89 2 1 13 4 _____________________________________________________________________________ 8234 1158 ( 2 , 670482 ) 335240 8236 1158 ( 18 , 74498 ) 37240 8235 8237 1158 1158 ( 6 , 223494 ) ( 386 , 3474 ) 111744 1544 335242 M 111750 37258 1930 M M 2 M 0 2 4 386 6 4 394 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 8238 1159 ( 1 , 1343281 ) 8240 1159 ( 61 , 22021 ) 8239 8241 1159 1159 671640 ( 19 , 70699 ) 35340 ( 361 , 3721 ) 1680 10980 671641 35359 11041 2041 P M P 19 M 2 1 2 61 1 4 _____________________________________________________________________________ 8242 1160 ( 2 , 672800 ) 336399 8244 1160 ( 8 , 168200 ) 84096 84104 M ( 16 , 84100 ) 42042 42058 M ( 32 , 42050 ) 21009 21041 P 1 P 1 8243 8245 8246 8247 8248 8249 8250 8251 8252 8253 8254 8255 8256 8257 8258 8259 8260 8261 1160 1160 1160 1160 1160 1160 1160 1160 1160 1160 1160 1160 1160 1160 1160 1160 1160 1160 ( 4 , 336400 ) ( 10 , 134560 ) ( 20 , 67280 ) ( 40 , 33640 ) ( 50 , 26912 ) ( 58 , 23200 ) ( 80 , 16820 ) ( 100 , 13456 ) ( 116 , 11600 ) 168198 67275 33630 16800 13431 11571 8370 6678 5742 336401 P 168202 67285 5858 2 M M M M 29 10 2 58 4125 4285 M 5 ( 232 , 5800 ) 2784 3016 M 232 ( 290 , 4640 ) ( 400 , 3364 ) ( 464 , 2900 ) ( 580 , 2320 ) 3264 2175 1482 1218 870 3464 2465 1882 1682 1450 M M M M M 5 40 ( 160 , 8410 ) ( 200 , 6728 ) 2 10 M 13481 6778 8 M 16840 8450 M M 33650 11629 1 8 145 2 58 290 395 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8262 8263 1160 1160 ( 800 , 1682 ) ( 928 , 1450 ) 441 261 1241 P 1189 M 1 29 4 18 22 _____________________________________________________________________________ 8264 1161 ( 1 , 1347921 ) 8266 1161 ( 9 , 149769 ) 8265 8267 8268 8269 8270 8271 8272 8273 1161 1161 1161 1161 1161 1161 1161 1161 673960 673961 P ( 3 , 449307 ) 224652 ( 27 , 49923 ) 24948 ( 81 , 16641 ) 8280 8361 M ( 243 , 5547 ) 2652 2895 M ( 729 , 1849 ) 560 ( 43 , 31347 ) ( 129 , 10449 ) ( 387 , 3483 ) 74880 15652 5160 1548 224655 74889 M 15695 M 24975 1289 M 27 9 M 43 129 3 M P 3 9 M 5289 1935 1 1 2 387 8 10 _____________________________________________________________________________ 8274 1162 ( 2 , 675122 ) 8276 1162 ( 98 , 13778 ) 8275 8277 1162 1162 337560 ( 14 , 96446 ) 48216 ( 166 , 8134 ) 3984 6840 337562 48230 6938 4150 M M M M 2 0 4 14 166 2 4 _____________________________________________________________________________ 8278 1163 ( 1 , 1352569 ) 676284 676285 1 P 0 1 1 _____________________________________________________________________________ 8279 8280 1164 1164 ( 2 , 677448 ) ( 4 , 338724 ) 338723 169360 338725 169364 P M 1 4 396 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8281 1164 ( 6 , 225816 ) 112905 8283 1164 ( 12 , 112908 ) 56448 8282 8284 8285 8286 8287 8288 8289 8290 8291 1164 1164 1164 1164 1164 1164 1164 1164 1164 ( 8 , 169362 ) 112911 M 84677 84685 P ( 18 , 75272 ) 37627 37645 P ( 36 , 37636 ) 18800 18836 M ( 24 , 56454 ) ( 72 , 18818 ) 28215 9373 ( 194 , 6984 ) 3395 ( 582 , 2328 ) 873 ( 388 , 3492 ) ( 776 , 1746 ) 1552 485 56460 M 28239 P 1940 M 3589 1261 1 M 9445 1455 1 3 12 3 4 1 M 97 388 M 291 M 97 4 9 13 _____________________________________________________________________________ 8292 1165 ( 1 , 1357225 ) 8294 1165 ( 25 , 54289 ) 8293 8295 1165 1165 ( 5 , 271445 ) ( 233 , 5825 ) 678612 135720 27132 2796 678613 P 135725 27157 3029 M 1 M P 2 5 1 2 233 4 _____________________________________________________________________________ 8296 1166 ( 2 , 679778 ) 8298 1166 ( 106 , 12826 ) 8297 8299 1166 1166 339888 ( 22 , 61798 ) 30888 ( 242 , 5618 ) 2688 6360 339890 30910 6466 2930 M M 22 M M 2 106 0 4 2 4 _____________________________________________________________________________ 8300 8301 1167 1167 ( 1 , 1361889 ) ( 3 , 453963 ) 680944 226980 680945 226983 P M 1 3 397 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8302 8303 1167 1167 ( 9 , 151321 ) ( 389 , 3501 ) 75656 1556 75665 1945 M P 1 2 2 389 4 _____________________________________________________________________________ 8304 1168 ( 2 , 682112 ) 341055 8306 1168 ( 8 , 170528 ) 85260 8305 8307 8308 8309 8310 8311 8312 8313 1168 1168 1168 1168 1168 1168 1168 1168 ( 4 , 341056 ) 170526 341057 170530 85268 M 21332 M ( 16 , 85264 ) 42624 42640 ( 64 , 21316 ) 10626 10690 ( 32 , 42632 ) ( 128 , 10658 ) 21300 5265 ( 146 , 9344 ) 4599 ( 584 , 2336 ) 876 ( 292 , 4672 ) 2190 P 2 4 16 4 M P 4745 1460 M M 5393 2482 1 1 M 2 73 M 146 M 292 2 8 10 _____________________________________________________________________________ 8314 1169 ( 1 , 1366561 ) 8316 1169 ( 49 , 27889 ) 8315 8317 1169 1169 ( 7 , 195223 ) ( 167 , 8183 ) 683280 97608 13920 4008 683281 97615 13969 4175 M P M 1 7 P 1 2 2 167 4 _____________________________________________________________________________ 8318 1170 ( 2 , 684450 ) 342224 342226 8320 1170 ( 10 , 136890 ) 68440 68450 8319 8321 8322 1170 1170 1170 ( 6 , 228150 ) ( 18 , 76050 ) ( 26 , 52650 ) 114072 38016 26312 114078 38034 26338 M M M M M 2 6 10 18 26 398 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8323 1170 ( 30 , 45630 ) 22800 22830 M 30 8325 1170 ( 54 , 25350 ) 12648 12702 M 6 8324 8326 8327 8328 8329 8330 8331 8332 8333 8334 8335 8336 8337 8338 8339 1170 1170 1170 1170 1170 1170 1170 1170 1170 1170 1170 1170 1170 1170 1170 ( 50 , 27378 ) ( 78 , 17550 ) ( 90 , 15210 ) ( 130 , 10530 ) 13664 8736 7560 5200 13714 M 8814 M 7650 2 78 M 5330 90 M 130 ( 150 , 9126 ) 4488 4638 M 6 ( 234 , 5850 ) 2808 3042 M 234 ( 162 , 8450 ) ( 270 , 5070 ) ( 338 , 4050 ) ( 390 , 3510 ) ( 450 , 3042 ) ( 650 , 2106 ) ( 702 , 1950 ) ( 810 , 1690 ) ( 1014 , 1350 ) 4144 2400 1856 1560 1296 4306 M 2670 M 2194 30 M 1950 1746 2 2 M 390 M 18 728 1378 M 26 440 1250 M 10 624 168 1326 M 1182 78 M 6 0 22 22 _____________________________________________________________________________ 8340 1171 ( 1 , 1371241 ) 685620 685621 1 P 0 1 1 _____________________________________________________________________________ 8341 1172 ( 2 , 686792 ) 343395 8343 1172 ( 8 , 171698 ) 85845 8342 8344 1172 1172 ( 4 , 343396 ) ( 586 , 2344 ) 171696 879 343397 171700 85853 1465 M P P 1 M 2 1 293 2 4 4 399 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 8345 1173 ( 1 , 1375929 ) 8347 1173 ( 9 , 152881 ) 8346 8348 8349 8350 8351 8352 8353 8354 8355 8356 8357 1173 1173 1173 1173 1173 1173 1173 1173 1173 1173 1173 687964 687965 ( 3 , 458643 ) 229320 ( 17 , 80937 ) 40460 40477 ( 51 , 26979 ) 13464 13515 ( 23 , 59823 ) ( 69 , 19941 ) 76436 29900 9936 P 229323 1 M 76445 P 29923 M 1 M 17 23 M 10005 51 M 69 ( 153 , 8993 ) 4420 4573 M ( 289 , 4761 ) 2236 2525 P 1 P 1 ( 207 , 6647 ) ( 391 , 3519 ) ( 529 , 2601 ) ( 867 , 1587 ) 3220 1564 1036 360 3427 1565 1227 17 M 1955 3 23 M 391 M 3 4 9 13 _____________________________________________________________________________ 8358 1174 ( 2 , 689138 ) 344568 344570 M 0 2 1 1 _____________________________________________________________________________ 8359 1175 ( 1 , 1380625 ) 8361 1175 ( 25 , 55225 ) 27600 27625 ( 125 , 11045 ) 5460 5585 8360 8362 8363 8364 8365 1175 1175 1175 1175 1175 ( 5 , 276125 ) ( 47 , 29375 ) ( 235 , 5875 ) ( 625 , 2209 ) 690312 138060 14664 2820 792 690313 P 138065 M 14711 3055 1417 1 M 25 M 47 M M P 2 5 5 1 5 235 7 400 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 8366 1176 ( 2 , 691488 ) 345743 345745 P 8368 1176 ( 6 , 230496 ) 115245 115251 M 8367 8369 8370 8371 8372 8373 8374 8375 8376 8377 8378 8379 8380 8381 8382 8383 8384 8385 8386 8387 8388 8389 8390 8391 1176 1176 1176 1176 1176 1176 1176 1176 1176 1176 1176 1176 1176 1176 1176 1176 1176 1176 1176 1176 1176 1176 1176 1176 ( 4 , 345744 ) ( 8 , 172872 ) 172870 172874 M 86432 86440 M ( 14 , 98784 ) 49385 49399 M ( 18 , 76832 ) 38407 38425 P ( 12 , 115248 ) ( 16 , 86436 ) ( 24 , 57624 ) ( 28 , 49392 ) ( 32 , 43218 ) ( 36 , 38416 ) ( 42 , 32928 ) ( 48 , 28812 ) ( 56 , 24696 ) ( 72 , 19208 ) ( 84 , 16464 ) ( 96 , 14406 ) ( 98 , 14112 ) ( 112 , 12348 ) ( 126 , 10976 ) 57618 43210 28800 24682 21593 19190 16443 14382 12320 57630 28824 21625 7155 7251 M 5425 6230 5551 1 2 21 M M 6118 14 M 14430 7105 24 M 16485 M M M M M 6 8 56 42 3 49 14 7 ( 144 , 9604 ) 4730 4874 M 2 ( 196 , 7056 ) 3430 3626 M 98 ( 168 , 8232 ) ( 224 , 6174 ) ( 252 , 5488 ) 4032 2975 2618 4200 3199 2870 M M M 6 1 P 19226 3 2 M 9640 7007 7 M 24710 8274 8 M 9568 8190 2 M 43226 12376 1 168 7 14 401 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8392 1176 ( 288 , 4802 ) 2257 2545 P 8394 1176 ( 336 , 4116 ) 1890 2226 M 8393 8395 8396 8397 8398 8399 8400 8401 8402 1176 1176 1176 1176 1176 1176 1176 1176 1176 ( 294 , 4704 ) ( 392 , 3528 ) ( 504 , 2744 ) ( 588 , 2352 ) ( 672 , 2058 ) ( 686 , 2016 ) ( 784 , 1764 ) ( 882 , 1568 ) ( 1008 , 1372 ) 2205 1568 1120 2499 M 1960 1624 1 147 42 M 392 M 56 882 1470 M 294 665 1351 M 7 693 490 343 182 1365 M 1274 21 M 1225 1190 98 M 49 M 14 4 33 37 _____________________________________________________________________________ 8403 1177 ( 1 , 1385329 ) 8405 1177 ( 107 , 12947 ) 8404 8406 1177 1177 ( 11 , 125939 ) ( 121 , 11449 ) 692664 62964 6420 5664 692665 62975 6527 M 5785 P M P 1 11 107 2 2 1 4 _____________________________________________________________________________ 8407 1178 ( 2 , 693842 ) 8409 1178 ( 62 , 22382 ) 8408 8410 1178 1178 346920 ( 38 , 36518 ) 18240 ( 722 , 1922 ) 600 11160 346922 18278 11222 1322 M M M M 38 2 0 4 2 62 4 _____________________________________________________________________________ 8411 8412 1179 1179 ( 1 , 1390041 ) ( 3 , 463347 ) 695020 231672 695021 231675 P M 1 3 402 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8413 1179 ( 9 , 154449 ) 8415 1179 ( 81 , 17161 ) 8414 8416 8417 1179 1179 1179 77220 ( 27 , 51483 ) 25728 ( 131 , 10611 ) 5240 ( 393 , 3537 ) 77229 M 25755 8540 8621 P 1572 1965 M 5371 9 M 1 M 2 5 3 131 393 7 _____________________________________________________________________________ 8418 1180 ( 2 , 696200 ) 348099 8420 1180 ( 8 , 174050 ) 87021 87029 P ( 20 , 69620 ) 34800 34820 M ( 50 , 27848 ) 13899 13949 P 8419 8421 8422 8423 8424 8425 8426 8427 8428 8429 8430 1180 1180 1180 1180 1180 1180 1180 1180 1180 1180 1180 ( 4 , 348100 ) ( 10 , 139240 ) ( 40 , 34810 ) ( 100 , 13924 ) ( 118 , 11800 ) 174048 69615 17385 6912 5841 348101 P 174052 69625 17425 7012 5959 ( 472 , 2950 ) 1239 1711 M 885 3068 1475 1 4 1 M M 5 5 M P 4 20 M 3581 ( 590 , 2360 ) 1 M 3381 2832 M M ( 200 , 6962 ) ( 236 , 5900 ) 1 59 236 59 295 4 9 13 _____________________________________________________________________________ 8431 1181 ( 1 , 1394761 ) 697380 697381 1 P 0 1 1 _____________________________________________________________________________ 8432 8433 1182 1182 ( 2 , 698562 ) ( 6 , 232854 ) 349280 116424 349282 116430 M M 2 6 403 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8434 8435 1182 1182 ( 18 , 77618 ) ( 394 , 3546 ) 38800 1576 38818 1970 M M 2 0 4 394 4 _____________________________________________________________________________ 8436 1183 ( 1 , 1399489 ) 8438 1183 ( 13 , 107653 ) 8437 8439 8440 8441 8442 1183 1183 1183 1183 1183 699744 699745 ( 7 , 199927 ) 99960 99967 M ( 49 , 28561 ) 14256 14305 P ( 169 , 8281 ) 4056 ( 91 , 15379 ) ( 637 , 2197 ) 53820 7644 780 53833 1417 7 M 7735 4225 P M 1 1 13 91 M 169 M 2 13 5 7 _____________________________________________________________________________ 8443 1184 ( 2 , 700928 ) 350463 8445 1184 ( 8 , 175232 ) 87612 8444 8446 8447 8448 8449 8450 8451 8452 8453 8454 8455 1184 1184 1184 1184 1184 1184 1184 1184 1184 1184 1184 ( 4 , 350464 ) 175230 350465 175234 87620 M 21920 M ( 16 , 87616 ) 43800 43816 ( 64 , 21904 ) 10920 10984 ( 32 , 43808 ) ( 74 , 18944 ) 21888 P 1 M 4 M M 8 32 8 9435 9509 M ( 148 , 9472 ) 4662 4810 M 74 ( 296 , 4736 ) 2220 2516 M 148 ( 128 , 10952 ) ( 256 , 5476 ) ( 512 , 2738 ) ( 592 , 2368 ) 5412 2610 1113 888 5540 2866 1625 1480 M 37 4 M 2 P M 2 1 2 296 11 13 404 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 8456 1185 ( 1 , 1404225 ) 8458 1185 ( 5 , 280845 ) 8457 8459 8460 8461 8462 8463 8464 8465 8466 8467 8468 1185 1185 1185 1185 1185 1185 1185 1185 1185 1185 1185 702112 ( 3 , 468075 ) 234036 ( 9 , 156025 ) 78008 140420 702113 234039 140425 P 28097 P 46800 46815 ( 45 , 31205 ) 15580 15625 ( 75 , 18723 ) 28072 9399 M ( 225 , 6241 ) 3008 3233 P ( 395 , 3555 ) 1580 1975 ( 237 , 5925 ) ( 711 , 1975 ) 8848 2844 632 8927 M 1 5 15 1 M 3 M 3081 1343 3 M 9324 ( 79 , 17775 ) 1 M 78017 ( 15 , 93615 ) ( 25 , 56169 ) P 5 79 1 M 237 M 395 M 79 4 9 13 _____________________________________________________________________________ 8469 1186 ( 2 , 703298 ) 351648 351650 M 0 2 1 1 _____________________________________________________________________________ 8470 1187 ( 1 , 1408969 ) 704484 704485 1 P 0 1 1 _____________________________________________________________________________ 8471 1188 ( 2 , 705672 ) 352835 352837 P 8473 1188 ( 6 , 235224 ) 117609 117615 M 8472 8474 8475 1188 1188 1188 ( 4 , 352836 ) ( 8 , 176418 ) ( 12 , 117612 ) 176416 88205 58800 176420 88213 58812 1 M P M 4 1 3 12 405 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8476 1188 ( 18 , 78408 ) 39195 39213 M 9 8478 1188 ( 24 , 58806 ) 29391 29415 M 3 8477 8479 8480 8481 8482 8483 8484 8485 8486 8487 8488 8489 8490 8491 8492 8493 8494 8495 8496 8497 8498 8499 8500 8501 1188 1188 1188 1188 1188 1188 1188 1188 1188 1188 1188 1188 1188 1188 1188 1188 1188 1188 1188 1188 1188 1188 1188 1188 ( 22 , 64152 ) ( 36 , 39204 ) ( 44 , 32076 ) ( 54 , 26136 ) ( 66 , 21384 ) ( 72 , 19602 ) ( 88 , 16038 ) ( 108 , 13068 ) ( 132 , 10692 ) 32065 19584 16016 13041 10659 9765 7975 6480 5280 32087 M 19620 M 16060 9837 8063 6588 5412 36 M 13095 10725 11 44 M M 27 M 9 M 33 11 M 108 M 132 ( 162 , 8712 ) 4275 4437 M 9 ( 216 , 6534 ) 3159 3375 M 27 ( 198 , 7128 ) ( 242 , 5832 ) ( 264 , 5346 ) ( 324 , 4356 ) ( 396 , 3564 ) ( 484 , 2916 ) ( 486 , 2904 ) ( 594 , 2376 ) ( 648 , 2178 ) ( 726 , 1944 ) ( 792 , 1782 ) ( 968 , 1458 ) ( 972 , 1452 ) 3465 2795 2541 2016 1584 1216 1209 3663 3037 2805 2340 1980 1700 1695 M 99 P 1 M 33 M 36 M 396 M 4 M 3 891 1485 M 297 609 1335 M 3 765 495 245 240 1413 1287 1213 1212 M 9 M 99 P M 1 4 12 27 31 406 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 8502 1189 ( 1 , 1413721 ) 8504 1189 ( 41 , 34481 ) 8503 8505 1189 1189 706860 ( 29 , 48749 ) 24360 ( 841 , 1681 ) 420 17220 706861 24389 17261 1261 P P M M 29 41 1 2 1 2 4 _____________________________________________________________________________ 8506 1190 ( 2 , 708050 ) 354024 8508 1190 ( 14 , 101150 ) 50568 8507 8509 8510 8511 8512 8513 8514 8515 8516 8517 8518 1190 1190 1190 1190 1190 1190 1190 1190 1190 1190 1190 ( 10 , 141610 ) 70800 354026 M 70810 2 M 50582 10 M 14 ( 34 , 41650 ) 20808 20842 M 34 ( 70 , 20230 ) 10080 10150 M 70 ( 50 , 28322 ) ( 98 , 14450 ) 14136 7176 14186 7274 M 3094 M ( 170 , 8330 ) 4080 4250 ( 350 , 4046 ) 1848 2198 ( 238 , 5950 ) ( 490 , 2890 ) ( 578 , 2450 ) ( 850 , 1666 ) 2856 1200 936 408 M 1690 1514 1258 2 2 M 170 238 M 14 M M 2 M 10 34 0 13 13 _____________________________________________________________________________ 8519 1191 ( 1 , 1418481 ) 8521 1191 ( 9 , 157609 ) 8520 8522 1191 1191 709240 ( 3 , 472827 ) 236412 ( 397 , 3573 ) 1588 78800 709241 236415 78809 1985 M P P 1 M 2 1 2 397 3 4 407 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 8523 1192 ( 2 , 710432 ) 355215 8525 1192 ( 8 , 177608 ) 88800 8524 8526 8527 8528 8529 1192 1192 1192 1192 1192 ( 4 , 355216 ) 177606 ( 16 , 88804 ) 44394 ( 298 , 4768 ) 2235 ( 32 , 44402 ) ( 596 , 2384 ) 22185 894 355217 P 177610 88808 M 22217 P 44410 2533 1490 1 M 8 M M M 2 2 1 149 298 2 5 7 _____________________________________________________________________________ 8530 1193 ( 1 , 1423249 ) 711624 711625 1 P 0 1 1 _____________________________________________________________________________ 8531 1194 ( 2 , 712818 ) 356408 8533 1194 ( 18 , 79202 ) 39592 8532 8534 1194 1194 ( 6 , 237606 ) ( 398 , 3582 ) 118800 1592 356410 M 118806 39610 1990 M M 2 M 0 2 4 398 6 4 _____________________________________________________________________________ 8535 1195 ( 1 , 1428025 ) 8537 1195 ( 25 , 57121 ) 8536 8538 1195 1195 ( 5 , 285605 ) ( 239 , 5975 ) 714012 142800 28548 2868 714013 142805 28573 3107 M P P 1 M 2 1 2 239 5 4 _____________________________________________________________________________ 8539 8540 1196 1196 ( 2 , 715208 ) ( 4 , 357604 ) 357603 178800 357605 178804 P M 1 4 408 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8541 1196 ( 8 , 178802 ) 8543 1196 ( 46 , 31096 ) 8542 8544 8545 8546 8547 8548 8549 8550 8551 1196 1196 1196 1196 1196 1196 1196 1196 1196 89397 89405 P 15571 M ( 26 , 55016 ) 27495 27521 ( 52 , 27508 ) 13728 13780 ( 92 , 15548 ) 15525 M 7728 7820 M ( 184 , 7774 ) 3795 3979 M ( 598 , 2392 ) 897 ( 104 , 13754 ) ( 338 , 4232 ) ( 676 , 2116 ) ( 1058 , 1352 ) 6825 1947 720 147 6929 2285 1495 1396 1205 1 13 23 M 52 92 M 13 23 P 1 M 299 M 4 P 4 9 1 13 _____________________________________________________________________________ 8552 1197 ( 1 , 1432809 ) 8554 1197 ( 7 , 204687 ) 8553 8555 8556 8557 8558 8559 8560 8561 8562 8563 8564 8565 1197 1197 1197 1197 1197 1197 1197 1197 1197 1197 1197 1197 716404 ( 3 , 477603 ) 238800 ( 9 , 159201 ) 79596 102340 716405 238803 79605 M 34125 M 37696 37715 ( 27 , 53067 ) 26520 26547 ( 49 , 29241 ) ( 57 , 25137 ) ( 63 , 22743 ) ( 81 , 17689 ) ( 133 , 10773 ) ( 147 , 9747 ) ( 171 , 8379 ) 34104 14596 12540 11340 P 4800 4947 M 4275 19 21 3 1 M 8885 4104 9 P 12597 5453 M M 8804 5320 3 M 14645 11403 1 M 102347 ( 19 , 75411 ) ( 21 , 68229 ) P M M M 57 1 63 133 3 171 7 409 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8566 1197 ( 189 , 7581 ) 3696 3885 M 8568 1197 ( 399 , 3591 ) 1596 1995 M 8567 8569 8570 8571 8572 8573 1197 1197 1197 1197 1197 1197 ( 361 , 3969 ) ( 441 , 3249 ) ( 513 , 2793 ) ( 567 , 2527 ) ( 931 , 1539 ) ( 1083 , 1323 ) 1804 1404 1140 980 304 120 2165 P 1845 1653 1547 1235 1203 21 1 399 M 9 M M 7 M 57 19 M 3 4 18 22 _____________________________________________________________________________ 8574 1198 ( 2 , 717602 ) 358800 358802 M 0 2 1 1 _____________________________________________________________________________ 8575 1199 ( 1 , 1437601 ) 8577 1199 ( 109 , 13189 ) 8576 8578 1199 1199 ( 11 , 130691 ) ( 121 , 11881 ) 718800 65340 6540 5880 718801 65351 6649 6001 M M P P 2 1 11 109 2 1 4 _____________________________________________________________________________ 8579 1200 ( 2 , 720000 ) 359999 360001 P 8581 1200 ( 6 , 240000 ) 119997 120003 M 8580 8582 8583 8584 8585 8586 1200 1200 1200 1200 1200 1200 ( 4 , 360000 ) ( 8 , 180000 ) ( 10 , 144000 ) ( 12 , 120000 ) ( 16 , 90000 ) ( 18 , 80000 ) 179998 89996 71995 59994 44992 39991 180002 90004 72005 60006 45008 40009 1 M M M M M P 2 4 3 5 6 16 1 410 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8587 1200 ( 20 , 72000 ) 35990 36010 M 10 8589 1200 ( 30 , 48000 ) 23985 24015 M 15 8588 8590 8591 8592 8593 8594 8595 8596 8597 8598 8599 8600 8601 8602 8603 8604 8605 8606 8607 8608 8609 8610 8611 8612 8613 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 ( 24 , 60000 ) ( 32 , 45000 ) ( 36 , 40000 ) ( 40 , 36000 ) ( 48 , 30000 ) ( 50 , 28800 ) ( 60 , 24000 ) ( 64 , 22500 ) ( 72 , 20000 ) ( 80 , 18000 ) ( 90 , 16000 ) ( 96 , 15000 ) ( 100 , 14400 ) ( 120 , 12000 ) ( 128 , 11250 ) ( 144 , 10000 ) 29988 22484 19982 17980 14976 14375 11970 11218 30012 22516 7452 7150 5940 5561 4928 48 M 12030 8045 20 M 14425 7955 2 M 15024 10036 4 M 18020 11282 12 M 20018 9964 8960 M 25 M M M 30 2 4 9040 M 80 7548 M 12 7250 6060 5689 5072 M M M P M 5 50 60 1 16 ( 150 , 9600 ) 4725 4875 M 75 ( 180 , 8000 ) 3910 4090 M 10 ( 160 , 9000 ) ( 192 , 7500 ) ( 200 , 7200 ) ( 240 , 6000 ) ( 250 , 5760 ) ( 288 , 5000 ) ( 300 , 4800 ) 4420 3654 3500 2880 2755 2356 2250 4580 3846 3700 3120 3005 2644 2550 M M M M M M M 20 6 100 240 5 4 150 411 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8614 1200 ( 320 , 4500 ) 2090 2410 M 10 8616 1200 ( 384 , 3750 ) 1683 2067 M 3 8615 8617 8618 8619 8620 8621 8622 8623 8624 8625 8626 8627 8628 8629 8630 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 1200 ( 360 , 4000 ) ( 400 , 3600 ) ( 450 , 3200 ) ( 480 , 3000 ) ( 500 , 2880 ) ( 576 , 2500 ) ( 600 , 2400 ) ( 640 , 2250 ) ( 720 , 2000 ) ( 750 , 1920 ) ( 800 , 1800 ) ( 900 , 1600 ) ( 960 , 1500 ) ( 1000 , 1440 ) ( 1152 , 1250 ) 1820 1600 1375 1260 1190 2180 M 2000 M 1825 400 M 1740 1690 20 25 M 60 M 962 1538 M 2 805 1445 M 5 900 640 585 500 350 270 220 49 1500 M 1360 300 M 1335 80 M 1300 15 M 1250 100 M 1230 1220 1201 50 M 30 M P 10 1 4 20 48 52 _____________________________________________________________________________ 8631 1201 ( 1 , 1442401 ) 721200 721201 1 P 0 1 1 _____________________________________________________________________________ 8632 1202 ( 2 , 722402 ) 361200 361202 M 0 1 2 1 _____________________________________________________________________________ 8633 8634 1203 1203 ( 1 , 1447209 ) ( 3 , 482403 ) 723604 241200 723605 241203 P M 1 3 412 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8635 8636 1203 1203 ( 9 , 160801 ) ( 401 , 3609 ) 80396 1604 80405 2005 M P 1 2 2 401 4 _____________________________________________________________________________ 8637 1204 ( 2 , 724808 ) 362403 8639 1204 ( 8 , 181202 ) 90597 90605 P ( 28 , 51772 ) 25872 25900 M ( 86 , 16856 ) 8385 8471 M ( 172 , 8428 ) 4128 4300 M ( 344 , 4214 ) 1935 2279 8638 8640 8641 8642 8643 8644 8645 8646 8647 8648 8649 1204 1204 1204 1204 1204 1204 1204 1204 1204 1204 1204 ( 4 , 362404 ) ( 14 , 103544 ) ( 56 , 25886 ) ( 98 , 14792 ) ( 196 , 7396 ) ( 392 , 3698 ) ( 602 , 2408 ) 181200 51765 12915 7347 3600 1653 903 362405 P 181204 51779 7445 1 4 7 28 M 7 43 P 3796 1505 M M 12971 2045 1 1 172 M 4 M 43 P 1 M 301 4 9 13 _____________________________________________________________________________ 8650 1205 ( 1 , 1452025 ) 8652 1205 ( 25 , 58081 ) 8651 8653 1205 1205 ( 5 , 290405 ) ( 241 , 6025 ) 726012 145200 29028 2892 726013 145205 29053 3133 M P P 1 M 2 1 2 241 5 4 _____________________________________________________________________________ 8654 8655 1206 1206 ( 2 , 727218 ) ( 6 , 242406 ) 363608 121200 363610 121206 M M 2 6 413 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8656 1206 ( 18 , 80802 ) 40392 40410 8658 1206 ( 134 , 10854 ) 5360 5494 8657 8659 8660 1206 1206 1206 ( 54 , 26934 ) ( 162 , 8978 ) ( 402 , 3618 ) 13440 4408 1608 M 13494 18 M 6 M 4570 134 M 2010 2 M 0 7 402 7 _____________________________________________________________________________ 8661 1207 ( 1 , 1456849 ) 8663 1207 ( 71 , 20519 ) 8662 8664 1207 1207 728424 ( 17 , 85697 ) 42840 ( 289 , 5041 ) 2376 10224 728425 42857 10295 2665 P P M 17 M 2 1 2 1 71 4 _____________________________________________________________________________ 8665 1208 ( 2 , 729632 ) 364815 8667 1208 ( 8 , 182408 ) 91200 8666 8668 8669 8670 8671 1208 1208 1208 1208 1208 ( 4 , 364816 ) 182406 ( 16 , 91204 ) 45594 ( 302 , 4832 ) 2265 ( 32 , 45602 ) ( 604 , 2416 ) 22785 906 364817 P 182410 91208 M 22817 P 45610 2567 1510 1 M 8 M M M 2 2 1 151 302 2 5 7 _____________________________________________________________________________ 8672 1209 ( 1 , 1461681 ) 8674 1209 ( 9 , 162409 ) 8673 8675 8676 1209 1209 1209 730840 ( 3 , 487227 ) 243612 ( 13 , 112437 ) 56212 ( 31 , 47151 ) 730841 243615 P 81200 81209 P 23560 23591 M 56225 M M 1 1 3 13 31 414 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8677 1209 ( 39 , 37479 ) 18720 8679 1209 ( 117 , 12493 ) 6188 8678 8680 8681 8682 8683 8684 1209 1209 1209 1209 1209 1209 ( 93 , 15717 ) 18759 7812 7905 M ( 169 , 8649 ) 4240 4409 P ( 403 , 3627 ) 1612 2015 M ( 279 , 5239 ) ( 507 , 2883 ) ( 961 , 1521 ) 2480 1188 280 6305 1241 39 93 M 2759 1695 M 1 M 13 31 403 M P 1 4 3 9 13 _____________________________________________________________________________ 8685 1210 ( 2 , 732050 ) 366024 8687 1210 ( 22 , 66550 ) 33264 33286 ( 110 , 13310 ) 6600 6710 8686 8688 8689 8690 8691 1210 1210 1210 1210 1210 ( 10 , 146410 ) ( 50 , 29282 ) ( 242 , 6050 ) ( 550 , 2662 ) 73200 14616 2904 1056 366026 M 73210 M 1606 10 M 14666 3146 2 22 M 2 M 110 M M 242 0 7 22 7 _____________________________________________________________________________ 8692 1211 ( 1 , 1466521 ) 8694 1211 ( 49 , 29929 ) 8693 8695 1211 1211 ( 7 , 209503 ) ( 173 , 8477 ) 733260 104748 14940 4152 733261 104755 14989 4325 M P P 1 M 2 1 2 173 7 4 _____________________________________________________________________________ 8696 8697 1212 1212 ( 2 , 734472 ) ( 4 , 367236 ) 367235 183616 367237 183620 P M 1 4 415 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8698 1212 ( 6 , 244824 ) 122409 8700 1212 ( 12 , 122412 ) 61200 8699 8701 8702 8703 8704 8705 8706 8707 8708 1212 1212 1212 1212 1212 1212 1212 1212 1212 ( 8 , 183618 ) 122415 M 91805 91813 P ( 18 , 81608 ) 40795 40813 P ( 36 , 40804 ) 20384 20420 M ( 24 , 61206 ) ( 72 , 20402 ) 30591 10165 ( 202 , 7272 ) 3535 ( 606 , 2424 ) 909 ( 404 , 3636 ) ( 808 , 1818 ) 1616 505 61212 M 30615 3737 1515 1313 1 M 10237 2020 1 M 3 12 3 4 P 1 101 M 404 M 303 M 101 4 9 13 _____________________________________________________________________________ 8709 1213 ( 1 , 1471369 ) 735684 735685 1 P 0 1 1 _____________________________________________________________________________ 8710 1214 ( 2 , 736898 ) 368448 368450 M 0 2 1 1 _____________________________________________________________________________ 8711 1215 ( 1 , 1476225 ) 8713 1215 ( 5 , 295245 ) 8712 8714 8715 8716 8717 8718 1215 1215 1215 1215 1215 1215 738112 ( 3 , 492075 ) 246036 ( 9 , 164025 ) 82008 147620 738113 246039 147625 M 29537 P 49200 49215 ( 27 , 54675 ) 27324 27351 ( 45 , 32805 ) 29512 16380 16425 1 M 82017 ( 15 , 98415 ) ( 25 , 59049 ) P M M M M 3 9 15 1 27 45 5 416 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8719 1215 ( 75 , 19683 ) 8721 1215 ( 135 , 10935 ) 8720 8722 8723 8724 8725 8726 1215 1215 1215 1215 1215 1215 ( 81 , 18225 ) 9804 9072 5400 9879 M 9153 3 M 5535 81 M 135 ( 225 , 6561 ) 3168 3393 M 9 ( 405 , 3645 ) 1620 2025 M 405 ( 243 , 6075 ) ( 675 , 2187 ) ( 729 , 2025 ) 2916 756 648 3159 1431 1377 M 243 M 27 M 2 81 14 16 _____________________________________________________________________________ 8727 1216 ( 2 , 739328 ) 369663 8729 1216 ( 8 , 184832 ) 92412 8728 8730 8731 8732 8733 8734 8735 8736 8737 8738 8739 8740 8741 8742 1216 1216 1216 1216 1216 1216 1216 1216 1216 1216 1216 1216 1216 1216 ( 4 , 369664 ) 184830 369665 184834 92420 M 23120 M ( 16 , 92416 ) 46200 46216 ( 38 , 38912 ) 19437 19475 ( 32 , 46208 ) ( 64 , 23104 ) ( 76 , 19456 ) 23088 11520 P 11584 1 M 4 M 8 16 M 19 M 64 9690 9766 M ( 152 , 9728 ) 4788 4940 M 76 ( 304 , 4864 ) 2280 2584 M 152 ( 128 , 11552 ) ( 256 , 5776 ) ( 512 , 2888 ) ( 608 , 2432 ) ( 722 , 2048 ) ( 1024 , 1444 ) 5712 2760 1188 912 663 210 5840 3016 1700 1520 1385 1234 38 M 16 M 8 M 4 M 304 P M 2 1 2 2 14 16 417 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 8743 1217 ( 1 , 1481089 ) 740544 740545 1 P 0 1 1 _____________________________________________________________________________ 8744 1218 ( 2 , 741762 ) 370880 370882 8746 1218 ( 14 , 105966 ) 52976 52990 8745 8747 8748 8749 8750 8751 8752 8753 8754 8755 8756 1218 1218 1218 1218 1218 1218 1218 1218 1218 1218 1218 ( 6 , 247254 ) 123624 M 123630 2 M 6 M 14 ( 18 , 82418 ) 41200 41218 M 2 ( 58 , 25578 ) 12760 12818 M 58 ( 42 , 35322 ) ( 98 , 15138 ) 17640 17682 M 42 7520 7618 M ( 174 , 8526 ) 4176 4350 M 174 ( 406 , 3654 ) 1624 2030 M 406 ( 126 , 11774 ) ( 294 , 5046 ) ( 522 , 2842 ) ( 882 , 1682 ) 5824 2376 1160 400 5950 M 2670 1682 1282 2 14 M 6 M M 2 0 58 13 13 _____________________________________________________________________________ 8757 1219 ( 1 , 1485961 ) 8759 1219 ( 53 , 28037 ) 8758 8760 1219 1219 742980 ( 23 , 64607 ) 32292 ( 529 , 2809 ) 1140 13992 742981 32315 14045 1669 P P M 23 M 2 1 2 1 53 4 _____________________________________________________________________________ 8761 8762 1220 1220 ( 2 , 744200 ) ( 4 , 372100 ) 372099 186048 372101 186052 P M 1 4 418 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8763 1220 ( 8 , 186050 ) 93021 93029 P 8765 1220 ( 20 , 74420 ) 37200 37220 M ( 50 , 29768 ) 14859 14909 P 8764 8766 8767 8768 8769 8770 8771 8772 8773 1220 1220 1220 1220 1220 1220 1220 1220 1220 ( 10 , 148840 ) ( 40 , 37210 ) ( 100 , 14884 ) ( 122 , 12200 ) 74415 18585 7392 6039 74425 M 18625 7492 3821 P ( 488 , 3050 ) 1281 1769 M ( 610 , 2440 ) 915 3172 1525 1 4 M 3621 2928 5 M 6161 5 20 M ( 200 , 7442 ) ( 244 , 6100 ) 1 1 M 61 244 61 M 305 4 9 13 _____________________________________________________________________________ 8774 1221 ( 1 , 1490841 ) 8776 1221 ( 9 , 165649 ) 8775 8777 8778 8779 8780 8781 8782 8783 8784 8785 8786 1221 1221 1221 1221 1221 1221 1221 1221 1221 1221 1221 745420 ( 3 , 496947 ) 248472 ( 11 , 135531 ) 67760 745421 P 248475 M 82820 82829 P ( 33 , 45177 ) 22572 22605 M ( 99 , 15059 ) 7480 ( 37 , 40293 ) ( 111 , 13431 ) ( 121 , 12321 ) 20128 6660 6100 67771 20165 7579 6771 6221 1 1 M M M 37 11 M 111 P 1 2072 2405 M 37 ( 407 , 3663 ) 1628 2035 M 407 ( 1089 , 1369 ) 1872 140 2235 1229 M P 11 33 ( 333 , 4477 ) ( 363 , 4107 ) 3 3 4 9 1 13 419 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 8787 1222 ( 2 , 746642 ) 8789 1222 ( 94 , 15886 ) 8788 8790 1222 1222 373320 ( 26 , 57434 ) 28704 ( 338 , 4418 ) 2040 7896 373322 28730 7990 2378 M M M M 26 2 94 0 4 2 4 _____________________________________________________________________________ 8791 1223 ( 1 , 1495729 ) 747864 747865 1 P 0 1 1 _____________________________________________________________________________ 8792 1224 ( 2 , 749088 ) 374543 374545 P 8794 1224 ( 6 , 249696 ) 124845 124851 M 8793 8795 8796 8797 8798 8799 8800 8801 8802 8803 8804 8805 8806 8807 8808 1224 1224 1224 1224 1224 1224 1224 1224 1224 1224 1224 1224 1224 1224 1224 ( 4 , 374544 ) ( 8 , 187272 ) 187270 187274 1 M 2 93632 93640 M ( 16 , 93636 ) 46810 46826 M 2 ( 24 , 62424 ) 31200 31224 M 24 ( 12 , 124848 ) ( 18 , 83232 ) ( 32 , 46818 ) ( 34 , 44064 ) ( 36 , 41616 ) ( 48 , 31212 ) ( 54 , 27744 ) ( 68 , 22032 ) ( 72 , 20808 ) ( 96 , 15606 ) ( 102 , 14688 ) 62418 41607 23393 22015 20790 15582 13845 10982 10368 7755 7293 62430 M 41625 M 23425 18 M 13899 6 M 11050 7395 17 M 15630 7851 1 M 20826 3 M M M M 6 9 P 22049 10440 8 3 34 3 72 51 420 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8809 1224 ( 108 , 13872 ) 6882 6990 M 6 8811 1224 ( 144 , 10404 ) 5130 5274 M 18 8810 8812 8813 8814 8815 8816 8817 8818 8819 8820 8821 8822 8823 8824 8825 8826 8827 8828 1224 1224 1224 1224 1224 1224 1224 1224 1224 1224 1224 1224 1224 1224 1224 1224 1224 1224 ( 136 , 11016 ) 5440 5576 M ( 162 , 9248 ) 4543 4705 P ( 216 , 6936 ) 3360 3576 M ( 204 , 7344 ) ( 272 , 5508 ) ( 288 , 5202 ) ( 306 , 4896 ) ( 324 , 4624 ) ( 408 , 3672 ) ( 432 , 3468 ) ( 544 , 2754 ) ( 578 , 2592 ) ( 612 , 2448 ) ( 648 , 2312 ) ( 816 , 1836 ) ( 864 , 1734 ) ( 918 , 1632 ) ( 1156 , 1296 ) 3570 2618 2457 2295 2150 1632 1518 1105 1007 3774 1 M 2890 102 24 M 2745 34 M 2601 9 M 2474 153 M 2040 2 M 1950 408 M 1649 1585 136 6 M 17 P 1 918 1530 M 306 510 1326 M 102 832 435 357 70 1480 M 1299 8 M 1275 1226 3 M M 51 2 4 33 37 _____________________________________________________________________________ 8829 1225 ( 1 , 1500625 ) 8831 1225 ( 7 , 214375 ) 8830 8832 8833 1225 1225 1225 750312 ( 5 , 300125 ) 150060 ( 25 , 60025 ) 30000 ( 35 , 42875 ) 107184 21420 750313 P 150065 107191 30025 21455 1 M M M M 5 25 35 7 421 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8834 1225 ( 49 , 30625 ) 15288 8836 1225 ( 175 , 8575 ) 4200 4375 M 175 ( 343 , 4375 ) 2016 2359 M 7 8835 8837 8838 8839 8840 1225 1225 1225 1225 1225 ( 125 , 12005 ) ( 245 , 6125 ) ( 625 , 2401 ) ( 875 , 1715 ) 5940 2940 888 420 15337 M 6065 M 3185 1513 1295 49 5 M 245 P 1 M 35 2 10 12 _____________________________________________________________________________ 8841 1226 ( 2 , 751538 ) 375768 375770 M 0 2 1 1 _____________________________________________________________________________ 8842 1227 ( 1 , 1505529 ) 8844 1227 ( 9 , 167281 ) 8843 8845 1227 1227 752764 ( 3 , 501843 ) 250920 ( 409 , 3681 ) 1636 83636 752765 250923 83645 2045 M P P 1 M 2 1 2 409 3 4 _____________________________________________________________________________ 8846 1228 ( 2 , 753992 ) 376995 8848 1228 ( 8 , 188498 ) 94245 8847 8849 1228 1228 ( 4 , 376996 ) ( 614 , 2456 ) 188496 921 376997 188500 94253 1535 M P P 1 M 1 307 2 2 4 4 _____________________________________________________________________________ 8850 1229 ( 1 , 1510441 ) 755220 755221 1 P 0 1 1 _____________________________________________________________________________ 422 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8851 1230 ( 2 , 756450 ) 378224 378226 8853 1230 ( 10 , 151290 ) 75640 75650 8852 8854 8855 8856 8857 8858 8859 8860 8861 8862 8863 1230 1230 1230 1230 1230 1230 1230 1230 1230 1230 1230 ( 6 , 252150 ) 126072 126078 M 2 M 6 M ( 18 , 84050 ) 42016 42034 M 2 ( 50 , 30258 ) 15104 15154 M 2 ( 30 , 50430 ) ( 82 , 18450 ) ( 90 , 16810 ) ( 150 , 10086 ) 25200 9184 8360 4968 25230 M 9266 M 8450 30 82 M 5118 10 M 6 ( 246 , 6150 ) 2952 3198 M 246 ( 450 , 3362 ) 1456 1906 M 2 ( 410 , 3690 ) ( 738 , 2050 ) 1640 656 2050 1394 M M 10 410 82 0 13 13 _____________________________________________________________________________ 8864 1231 ( 1 , 1515361 ) 757680 757681 1 P 0 1 1 _____________________________________________________________________________ 8865 1232 ( 2 , 758912 ) 379455 8867 1232 ( 8 , 189728 ) 94860 94868 M ( 16 , 94864 ) 47424 47440 M 16 ( 28 , 54208 ) 27090 27118 M 14 8866 8868 8869 8870 8871 8872 8873 1232 1232 1232 1232 1232 1232 1232 ( 4 , 379456 ) ( 14 , 108416 ) ( 22 , 68992 ) ( 32 , 47432 ) ( 44 , 34496 ) 189726 54201 34485 23700 17226 379457 189730 54215 34507 23732 17270 P M M M M M 1 4 2 7 11 4 22 423 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8874 1232 ( 56 , 27104 ) 13524 8876 1232 ( 88 , 17248 ) 8580 8875 8877 8878 8879 8880 8881 8882 8883 8884 8885 8886 8887 8888 8889 8890 8891 8892 8893 8894 8895 1232 1232 1232 1232 1232 1232 1232 1232 1232 1232 1232 1232 1232 1232 1232 1232 1232 1232 1232 1232 ( 64 , 23716 ) ( 98 , 15488 ) ( 112 , 13552 ) ( 128 , 11858 ) 11826 7695 6720 5865 13580 M 11890 8668 M 7793 28 M 2 44 P 6832 1 M 5993 P 112 1 ( 154 , 9856 ) 4851 5005 M 77 ( 196 , 7744 ) 3774 3970 M 2 ( 176 , 8624 ) ( 224 , 6776 ) ( 242 , 6272 ) ( 308 , 4928 ) ( 352 , 4312 ) ( 392 , 3872 ) ( 448 , 3388 ) ( 484 , 3136 ) ( 616 , 2464 ) ( 704 , 2156 ) ( 784 , 1936 ) ( 896 , 1694 ) ( 968 , 1568 ) ( 1078 , 1408 ) 4224 3276 3015 2310 1980 1740 1470 1326 4400 M 3500 M 3257 28 P 2618 1 M 2332 154 M 2132 44 M 1918 1810 176 4 M 14 M 2 924 1540 M 308 576 1360 M 16 726 399 300 165 1430 M 1295 22 M 1268 1243 7 M M 4 4 11 27 31 _____________________________________________________________________________ 8896 1233 ( 1 , 1520289 ) 8898 1233 ( 9 , 168921 ) 8897 1233 ( 3 , 506763 ) 760144 253380 84456 760145 253383 84465 P M M 1 9 3 424 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8899 1233 ( 27 , 56307 ) 28140 8901 1233 ( 137 , 11097 ) 5480 8900 8902 1233 1233 ( 81 , 18769 ) ( 411 , 3699 ) 28167 9344 9425 P 1644 2055 M 5617 M 1 M 2 3 137 411 5 7 _____________________________________________________________________________ 8903 1234 ( 2 , 761378 ) 380688 380690 M 0 2 1 1 _____________________________________________________________________________ 8904 1235 ( 1 , 1525225 ) 8906 1235 ( 13 , 117325 ) 8905 8907 8908 8909 8910 8911 8912 8913 8914 8915 8916 1235 1235 1235 1235 1235 1235 1235 1235 1235 1235 1235 762612 762613 ( 5 , 305045 ) 152520 ( 19 , 80275 ) 40128 40147 M ( 65 , 23465 ) 11700 11765 M ( 25 , 61009 ) ( 95 , 16055 ) 58656 30492 7980 152525 P 58669 M 3211 M 4597 ( 325 , 4693 ) 2184 2509 ( 247 , 6175 ) ( 361 , 4225 ) ( 475 , 3211 ) ( 845 , 1805 ) 2964 1932 1368 480 1325 13 19 1 65 95 P 1 247 M 2293 1843 5 P 8075 4428 M M 30517 ( 169 , 9025 ) 1 13 P 1 M 5 M 4 9 19 13 _____________________________________________________________________________ 8917 1236 ( 2 , 763848 ) 381923 381925 P 8919 1236 ( 6 , 254616 ) 127305 127311 M 8918 1236 ( 4 , 381924 ) 190960 190964 M 1 4 3 425 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8920 1236 ( 8 , 190962 ) 95477 95485 P 1 8922 1236 ( 18 , 84872 ) 42427 42445 P 1 ( 36 , 42436 ) 21200 21236 M 8921 8923 8924 8925 8926 8927 8928 8929 1236 1236 1236 1236 1236 1236 1236 1236 ( 12 , 127308 ) ( 24 , 63654 ) ( 72 , 21218 ) 63648 31815 10573 ( 206 , 7416 ) 3605 ( 618 , 2472 ) 927 ( 412 , 3708 ) ( 824 , 1854 ) 1648 515 63660 M 31839 M 10645 3811 2060 1545 1339 M 12 3 4 P 1 103 M 412 M 309 M 103 4 9 13 _____________________________________________________________________________ 8930 1237 ( 1 , 1530169 ) 765084 765085 1 P 0 1 1 _____________________________________________________________________________ 8931 1238 ( 2 , 766322 ) 383160 383162 M 0 2 1 1 _____________________________________________________________________________ 8932 1239 ( 1 , 1535121 ) 8934 1239 ( 7 , 219303 ) 8933 8935 8936 8937 8938 8939 8940 1239 1239 1239 1239 1239 1239 1239 767560 ( 3 , 511707 ) 255852 ( 9 , 170569 ) 85280 109648 767561 255855 109655 P 15689 P 36540 36561 ( 59 , 26019 ) 12980 13039 ( 63 , 24367 ) ( 147 , 10443 ) 15640 12152 5148 12215 5295 1 M 85289 ( 21 , 73101 ) ( 49 , 31329 ) P M M M M M 3 1 21 1 59 7 3 7 426 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8941 1239 ( 177 , 8673 ) 4248 4425 M 8943 1239 ( 441 , 3481 ) 1520 1961 P 8942 8944 1239 1239 ( 413 , 3717 ) ( 531 , 2891 ) 1652 1180 2065 177 M 1711 413 1 M 4 9 59 13 _____________________________________________________________________________ 8945 1240 ( 2 , 768800 ) 384399 8947 1240 ( 8 , 192200 ) 96096 96104 M ( 16 , 96100 ) 48042 48058 M ( 32 , 48050 ) 24009 24041 P 1 P 1 8946 8948 8949 8950 8951 8952 8953 8954 8955 8956 8957 8958 8959 8960 8961 8962 8963 8964 8965 1240 1240 1240 1240 1240 1240 1240 1240 1240 1240 1240 1240 1240 1240 1240 1240 1240 1240 1240 ( 4 , 384400 ) ( 10 , 153760 ) ( 20 , 76880 ) ( 40 , 38440 ) ( 50 , 30752 ) ( 62 , 24800 ) ( 80 , 19220 ) ( 100 , 15376 ) ( 124 , 12400 ) 192198 76875 38430 19200 15351 12369 9570 7638 6138 384401 P 192202 76885 6262 2 M M 31 10 M 2 M 62 4725 4885 M 5 ( 248 , 6200 ) 2976 3224 M 248 ( 310 , 4960 ) ( 400 , 3844 ) ( 496 , 3100 ) ( 620 , 2480 ) ( 800 , 1922 ) 3744 2325 1722 1302 930 561 3944 2635 2122 1798 1550 1361 M 8 M 155 M M M P 5 40 ( 160 , 9610 ) ( 200 , 7688 ) 2 10 M 15401 7738 8 M 19240 9650 M M 38450 12431 1 2 62 310 1 427 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8966 1240 ( 992 , 1550 ) 279 1271 M 31 4 18 22 _____________________________________________________________________________ 8967 1241 ( 1 , 1540081 ) 8969 1241 ( 73 , 21097 ) 8968 8970 1241 1241 770040 ( 17 , 90593 ) 45288 ( 289 , 5329 ) 2520 10512 770041 45305 10585 2809 P M P 17 M 2 1 2 73 1 4 _____________________________________________________________________________ 8971 1242 ( 2 , 771282 ) 385640 8973 1242 ( 18 , 85698 ) 42840 42858 M ( 54 , 28566 ) 14256 14310 M 8972 8974 8975 8976 8977 8978 8979 8980 1242 1242 1242 1242 1242 1242 1242 1242 ( 6 , 257094 ) ( 46 , 33534 ) ( 138 , 11178 ) 128544 16744 5520 385642 M 128550 16790 5658 2 M 18 M 46 54 M 138 ( 162 , 9522 ) 4680 4842 M 18 ( 486 , 3174 ) 1344 1830 M 6 ( 414 , 3726 ) ( 1058 , 1458 ) 1656 200 2070 1258 M M 6 414 2 0 10 10 _____________________________________________________________________________ 8981 1243 ( 1 , 1545049 ) 8983 1243 ( 113 , 13673 ) 8982 8984 1243 1243 ( 11 , 140459 ) ( 121 , 12769 ) 772524 70224 6780 6324 772525 70235 6893 6445 M P M 2 P 1 11 113 2 1 4 _____________________________________________________________________________ 428 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 8985 1244 ( 2 , 773768 ) 386883 8987 1244 ( 8 , 193442 ) 96717 8986 8988 1244 1244 ( 4 , 386884 ) ( 622 , 2488 ) 193440 933 386885 193444 96725 1555 M P 1 M P 1 311 2 2 4 4 _____________________________________________________________________________ 8989 1245 ( 1 , 1550025 ) 8991 1245 ( 5 , 310005 ) 8990 8992 8993 8994 8995 8996 8997 8998 8999 9000 9001 1245 1245 1245 1245 1245 1245 1245 1245 1245 1245 1245 775012 775013 P ( 3 , 516675 ) 258336 ( 9 , 172225 ) 86108 86117 P ( 25 , 62001 ) 30988 31013 P ( 75 , 20667 ) 10296 10371 M ( 15 , 103335 ) ( 45 , 34445 ) ( 83 , 18675 ) 155000 51660 17200 9296 258339 155005 51675 M 3237 M 3557 ( 415 , 3735 ) 1660 2075 ( 249 , 6225 ) ( 747 , 2075 ) 2988 664 1411 3 M 1 1 M 9379 3332 M M 17245 ( 225 , 6889 ) 1 15 5 3 83 P 1 249 M M 5 415 4 83 9 13 _____________________________________________________________________________ 9002 1246 ( 2 , 776258 ) 388128 9004 1246 ( 98 , 15842 ) 7872 9003 9005 1246 1246 ( 14 , 110894 ) ( 178 , 8722 ) 55440 4272 388130 55454 7970 4450 M M M 2 M 0 2 4 178 14 4 _____________________________________________________________________________ 429 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9006 1247 ( 1 , 1555009 ) 9008 1247 ( 43 , 36163 ) 9007 9009 1247 1247 777504 ( 29 , 53621 ) 26796 ( 841 , 1849 ) 504 18060 777505 26825 18103 1345 P M M P 2 1 29 1 43 2 4 _____________________________________________________________________________ 9010 1248 ( 2 , 778752 ) 389375 389377 P 9012 1248 ( 6 , 259584 ) 129789 129795 M 9011 9013 9014 9015 9016 9017 9018 9019 9020 9021 9022 9023 9024 9025 9026 9027 9028 9029 9030 1248 1248 1248 1248 1248 1248 1248 1248 1248 1248 1248 1248 1248 1248 1248 1248 1248 1248 1248 ( 4 , 389376 ) ( 8 , 194688 ) 194686 194690 M 97340 97348 M ( 16 , 97344 ) 48664 48680 M ( 24 , 64896 ) 32436 32460 M ( 12 , 129792 ) ( 18 , 86528 ) ( 26 , 59904 ) ( 32 , 48672 ) ( 36 , 43264 ) ( 48 , 32448 ) ( 52 , 29952 ) ( 64 , 24336 ) ( 72 , 21632 ) ( 78 , 19968 ) ( 96 , 16224 ) ( 104 , 14976 ) ( 128 , 12168 ) ( 144 , 10816 ) ( 156 , 9984 ) 64890 43255 29939 24320 21614 16200 14950 12136 10780 9945 8064 7436 6020 5336 4914 64902 M 43273 P 29965 M 24352 M 21650 M 16248 M 15002 M 12200 10852 10023 8160 7540 6148 5480 5070 1 M M M M M M M M 2 4 8 3 6 1 12 13 32 2 24 26 8 4 39 96 52 4 8 78 430 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9031 1248 ( 192 , 8112 ) 3960 4152 M 24 9033 1248 ( 234 , 6656 ) 3211 3445 M 13 9032 9034 9035 9036 9037 9038 9039 9040 9041 9042 9043 9044 9045 9046 9047 9048 9049 1248 1248 1248 1248 1248 1248 1248 1248 1248 1248 1248 1248 1248 1248 1248 1248 1248 ( 208 , 7488 ) ( 256 , 6084 ) ( 288 , 5408 ) ( 312 , 4992 ) ( 338 , 4608 ) ( 384 , 4056 ) ( 416 , 3744 ) ( 468 , 3328 ) ( 512 , 3042 ) ( 576 , 2704 ) ( 624 , 2496 ) ( 676 , 2304 ) ( 768 , 2028 ) ( 832 , 1872 ) ( 936 , 1664 ) ( 1014 , 1536 ) ( 1152 , 1352 ) 3640 2914 2560 2340 2135 1836 1664 1430 1265 1064 3848 M 3170 M 2848 2 M 2652 32 M 2473 156 P 2220 1 M 2080 12 M 1898 416 M 1777 1640 104 26 P 1 M 8 936 1560 M 312 630 1398 M 6 814 520 364 261 100 1490 M 1352 2 M 1300 1275 104 M 1252 52 M M 3 4 4 36 40 _____________________________________________________________________________ 9050 1249 ( 1 , 1560001 ) 780000 780001 1 P 0 1 1 _____________________________________________________________________________ 9051 1250 ( 2 , 781250 ) 390624 9053 1250 ( 50 , 31250 ) 15600 9052 1250 ( 10 , 156250 ) 78120 390626 78130 15650 M M M 2 10 50 431 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9054 1250 ( 250 , 6250 ) 3000 3250 M 0 4 250 4 _____________________________________________________________________________ 9055 1251 ( 1 , 1565001 ) 9057 1251 ( 9 , 173889 ) 9056 9058 9059 9060 9061 1251 1251 1251 1251 1251 782500 ( 3 , 521667 ) 260832 ( 27 , 57963 ) 28968 ( 139 , 11259 ) 5560 ( 81 , 19321 ) ( 417 , 3753 ) 86940 782501 P 260835 86949 28995 M 9620 9701 P 1668 2085 M 5699 1 M 9 M 1 M 2 3 5 3 139 417 7 _____________________________________________________________________________ 9062 1252 ( 2 , 783752 ) 391875 9064 1252 ( 8 , 195938 ) 97965 9063 9065 1252 1252 ( 4 , 391876 ) ( 626 , 2504 ) 195936 939 391877 P 195940 97973 1565 M 1 M P 1 313 2 2 4 4 _____________________________________________________________________________ 9066 1253 ( 1 , 1570009 ) 9068 1253 ( 49 , 32041 ) 9067 9069 1253 1253 ( 7 , 224287 ) ( 179 , 8771 ) 785004 112140 15996 4296 785005 112147 16045 4475 M P 1 M P 2 1 2 179 7 4 _____________________________________________________________________________ 9070 1254 ( 2 , 786258 ) 393128 9072 1254 ( 18 , 87362 ) 43672 9071 1254 ( 6 , 262086 ) 131040 393130 131046 43690 M M M 2 2 6 432 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9073 1254 ( 22 , 71478 ) 35728 35750 M 22 9075 1254 ( 66 , 23826 ) 11880 11946 M 66 9074 9076 9077 9078 9079 9080 9081 9082 1254 1254 1254 1254 1254 1254 1254 1254 ( 38 , 41382 ) ( 114 , 13794 ) 20672 6840 20710 M 6954 38 M 114 ( 198 , 7942 ) 3872 4070 M 22 ( 342 , 4598 ) 2128 2470 M 38 ( 242 , 6498 ) ( 418 , 3762 ) ( 722 , 2178 ) ( 726 , 2166 ) 3128 1672 728 720 3370 2090 1450 1446 M 2 M M 2 M 418 6 0 13 13 _____________________________________________________________________________ 9083 1255 ( 1 , 1575025 ) 9085 1255 ( 25 , 63001 ) 9084 9086 1255 1255 ( 5 , 315005 ) ( 251 , 6275 ) 787512 157500 31488 3012 787513 157505 31513 3263 M P 1 M P 2 1 2 251 5 4 _____________________________________________________________________________ 9087 1256 ( 2 , 788768 ) 394383 9089 1256 ( 8 , 197192 ) 98592 9088 9090 9091 9092 9093 1256 1256 1256 1256 1256 ( 4 , 394384 ) 197190 ( 16 , 98596 ) 49290 ( 314 , 5024 ) 2355 ( 32 , 49298 ) ( 628 , 2512 ) 24633 942 394385 P 197194 98600 M 24665 P 49306 2669 1570 1 M 8 M M M 2 2 1 157 2 314 5 7 _____________________________________________________________________________ 433 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9094 1257 ( 1 , 1580049 ) 9096 1257 ( 9 , 175561 ) 9095 9097 1257 1257 790024 ( 3 , 526683 ) 263340 ( 419 , 3771 ) 1676 87776 790025 263343 87785 2095 M P 1 M P 2 3 1 2 419 4 _____________________________________________________________________________ 9098 1258 ( 2 , 791282 ) 9100 1258 ( 74 , 21386 ) 9099 9101 1258 1258 395640 ( 34 , 46546 ) 23256 ( 578 , 2738 ) 1080 10656 395642 23290 10730 1658 M M M 34 M 0 4 2 2 74 4 _____________________________________________________________________________ 9102 1259 ( 1 , 1585081 ) 792540 792541 1 P 0 1 1 _____________________________________________________________________________ 9103 1260 ( 2 , 793800 ) 396899 396901 P 9105 1260 ( 6 , 264600 ) 132297 132303 M 9104 9106 9107 9108 9109 9110 9111 9112 9113 9114 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 ( 4 , 396900 ) ( 8 , 198450 ) ( 10 , 158760 ) ( 12 , 132300 ) ( 14 , 113400 ) 198448 99221 79375 66144 56693 198452 99229 79385 66156 56707 1 M P M 4 1 M M 44091 44109 M 9 ( 24 , 66150 ) 33063 33087 M 3 ( 28 , 56700 ) ( 30 , 52920 ) 39680 28336 26445 39700 28364 26475 M M M 5 12 ( 18 , 88200 ) ( 20 , 79380 ) 3 7 20 28 15 434 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9115 1260 ( 36 , 44100 ) 22032 22068 M 36 9117 1260 ( 42 , 37800 ) 18879 18921 M 21 9116 9118 9119 9120 9121 9122 9123 9124 9125 9126 9127 9128 9129 9130 9131 9132 9133 9134 9135 9136 9137 9138 9139 9140 9141 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 ( 40 , 39690 ) ( 50 , 31752 ) ( 54 , 29400 ) ( 56 , 28350 ) ( 60 , 26460 ) ( 70 , 22680 ) ( 72 , 22050 ) ( 84 , 18900 ) ( 90 , 17640 ) ( 98 , 16200 ) ( 100 , 15876 ) ( 108 , 14700 ) ( 120 , 13230 ) ( 126 , 12600 ) ( 140 , 11340 ) ( 150 , 10584 ) 19825 15851 14673 14147 13200 11305 10989 19865 M 15901 P 14727 13260 M 8051 8149 P 7296 6555 6237 5600 5217 7988 7404 6675 6363 5740 5367 M M 4320 4500 M ( 200 , 7938 ) ( 210 , 7560 ) ( 216 , 7350 ) ( 252 , 6300 ) ( 270 , 5880 ) 3869 3675 3567 3024 2805 4148 4069 3885 3783 3276 3075 45 1 M M P M M M M 4 12 15 63 M ( 180 , 8820 ) 3952 84 M P ( 196 , 8100 ) 9 M 4981 4809 35 M 4819 4641 M M ( 162 , 9800 ) ( 168 , 9450 ) 60 M 9492 7888 7 M 11375 8865 3 M 9408 8775 1 M 14203 11061 5 140 1 3 21 180 4 1 105 3 252 15 435 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9142 1260 ( 280 , 5670 ) 2695 2975 M 35 9144 1260 ( 300 , 5292 ) 2496 2796 M 12 9143 9145 9146 9147 9148 9149 9150 9151 9152 9153 9154 9155 9156 9157 9158 9159 9160 9161 9162 9163 9164 9165 9166 9167 9168 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 1260 ( 294 , 5400 ) ( 324 , 4900 ) ( 350 , 4536 ) ( 360 , 4410 ) ( 378 , 4200 ) ( 392 , 4050 ) ( 420 , 3780 ) ( 450 , 3528 ) ( 490 , 3240 ) ( 504 , 3150 ) ( 540 , 2940 ) ( 588 , 2700 ) ( 600 , 2646 ) ( 630 , 2520 ) ( 648 , 2450 ) ( 700 , 2268 ) ( 756 , 2100 ) ( 810 , 1960 ) ( 840 , 1890 ) ( 882 , 1800 ) ( 900 , 1764 ) ( 980 , 1620 ) ( 1050 , 1512 ) ( 1080 , 1470 ) ( 1134 , 1400 ) 2553 2288 2093 2025 1911 1829 1680 1539 1375 1323 1200 1056 1023 2847 2612 2443 2385 2289 2221 2100 1989 1865 1827 1740 1644 1623 M M 525 459 432 320 231 195 133 1365 1341 1332 1300 1281 1275 1267 420 M 9 M 5 M 63 M 60 M M M 1385 1 M 1484 575 21 P 784 1428 45 M M 672 7 M 1575 1549 4 M 945 901 3 P M M M M M M M M M 12 3 315 1 28 84 5 105 9 36 20 21 15 7 436 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9169 1260 ( 1176 , 1350 ) 87 1263 M 3 8 59 67 _____________________________________________________________________________ 9170 1261 ( 1 , 1590121 ) 9172 1261 ( 97 , 16393 ) 9171 9173 1261 1261 ( 13 , 122317 ) ( 169 , 9409 ) 795060 61152 8148 4620 795061 61165 8245 4789 M M P P 1 97 2 2 1 13 4 _____________________________________________________________________________ 9174 1262 ( 2 , 796322 ) 398160 398162 M 0 2 1 1 _____________________________________________________________________________ 9175 1263 ( 1 , 1595169 ) 9177 1263 ( 9 , 177241 ) 9176 9178 1263 1263 797584 ( 3 , 531723 ) 265860 ( 421 , 3789 ) 1684 88616 797585 P 265863 88625 2105 M 1 M P 2 3 1 2 421 4 _____________________________________________________________________________ 9179 1264 ( 2 , 798848 ) 399423 9181 1264 ( 8 , 199712 ) 99852 9180 9182 9183 9184 9185 9186 9187 1264 1264 1264 1264 1264 1264 1264 ( 4 , 399424 ) 199710 399425 199714 99860 M 24980 M ( 16 , 99856 ) 49920 49936 ( 64 , 24964 ) 12450 12514 ( 32 , 49928 ) ( 128 , 12482 ) ( 158 , 10112 ) ( 316 , 5056 ) 24948 6177 4977 2370 P 6305 5135 2686 1 M 4 M M P M M 16 4 1 2 79 158 2 437 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9188 1264 ( 632 , 2528 ) 948 1580 M 316 2 8 10 _____________________________________________________________________________ 9189 1265 ( 1 , 1600225 ) 9191 1265 ( 11 , 145475 ) 9190 9192 9193 9194 9195 9196 9197 9198 9199 9200 9201 1265 1265 1265 1265 1265 1265 1265 1265 1265 1265 1265 800112 800113 P ( 5 , 320045 ) 160020 ( 23 , 69575 ) 34776 34799 M ( 55 , 29095 ) 14520 14575 M ( 25 , 64009 ) ( 115 , 13915 ) ( 121 , 13225 ) 72732 31992 6900 6552 160025 M 72743 7015 M ( 529 , 3025 ) 1248 1777 P ( 575 , 2783 ) ( 605 , 2645 ) 1104 1020 1679 1625 1 55 115 P 3289 3047 23 M 3036 2772 11 P ( 253 , 6325 ) ( 275 , 5819 ) 5 M 32017 6673 1 1 253 M 11 1 M 23 M 4 9 5 13 _____________________________________________________________________________ 9202 1266 ( 2 , 801378 ) 400688 9204 1266 ( 18 , 89042 ) 44512 9203 9205 1266 1266 ( 6 , 267126 ) ( 422 , 3798 ) 133560 1688 400690 M 133566 44530 2110 M M 2 M 0 2 4 422 6 4 _____________________________________________________________________________ 9206 1267 ( 1 , 1605289 ) 9208 1267 ( 49 , 32761 ) 9207 1267 ( 7 , 229327 ) 802644 114660 16356 802645 114667 16405 P P M 1 1 7 438 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9209 1267 ( 181 , 8869 ) 4344 4525 M 2 2 181 4 _____________________________________________________________________________ 9210 1268 ( 2 , 803912 ) 401955 401957 P 1 9212 1268 ( 8 , 200978 ) 100485 100493 P 1 9211 9213 1268 1268 ( 4 , 401956 ) ( 634 , 2536 ) 200976 951 200980 1585 M M 2 4 317 2 4 _____________________________________________________________________________ 9214 1269 ( 1 , 1610361 ) 9216 1269 ( 9 , 178929 ) 9215 9217 9218 9219 9220 9221 9222 9223 1269 1269 1269 1269 1269 1269 1269 1269 805180 805181 P ( 3 , 536787 ) 268392 ( 27 , 59643 ) 29808 ( 81 , 19881 ) 9900 9981 M ( 243 , 6627 ) 3192 3435 M ( 729 , 2209 ) 740 ( 47 , 34263 ) ( 141 , 11421 ) ( 423 , 3807 ) 89460 17108 5640 1692 268395 89469 M 17155 M 29835 1469 M 27 9 M 47 141 3 M P 3 9 M 5781 2115 1 2 1 423 8 10 _____________________________________________________________________________ 9224 1270 ( 2 , 806450 ) 403224 9226 1270 ( 50 , 32258 ) 16104 9225 9227 1270 1270 ( 10 , 161290 ) ( 254 , 6350 ) 80640 3048 403226 M 80650 16154 3302 2 M M M 0 2 4 254 10 4 _____________________________________________________________________________ 439 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9228 1271 ( 1 , 1615441 ) 9230 1271 ( 41 , 39401 ) 9229 9231 1271 1271 807720 ( 31 , 52111 ) 26040 ( 961 , 1681 ) 360 19680 807721 26071 19721 1321 P M M P 2 1 31 41 1 2 4 _____________________________________________________________________________ 9232 1272 ( 2 , 808992 ) 404495 404497 P 9234 1272 ( 6 , 269664 ) 134829 134835 M 9233 9235 9236 9237 9238 9239 9240 9241 9242 9243 9244 9245 9246 9247 9248 9249 9250 9251 9252 1272 1272 1272 1272 1272 1272 1272 1272 1272 1272 1272 1272 1272 1272 1272 1272 1272 1272 1272 ( 4 , 404496 ) ( 8 , 202248 ) ( 12 , 134832 ) ( 16 , 101124 ) 202246 101120 67410 50554 202250 1 M 101128 2 3 M 67422 8 M 50570 6 M ( 18 , 89888 ) 44935 44953 P 1 ( 32 , 50562 ) 25265 25297 P 1 ( 24 , 67416 ) ( 36 , 44944 ) ( 48 , 33708 ) ( 72 , 22472 ) ( 96 , 16854 ) ( 106 , 15264 ) ( 144 , 11236 ) 33696 22454 16830 11200 8379 7579 5546 33720 M 22490 11272 8475 7685 5690 M M 3922 M ( 318 , 5088 ) 2385 2703 M ( 424 , 3816 ) ( 636 , 2544 ) ( 848 , 1908 ) 1696 954 530 2953 2120 1590 1378 M M 3710 2665 2 M ( 212 , 7632 ) ( 288 , 5618 ) 24 M 16878 P M M M 2 6 3 8 53 2 106 1 159 424 318 106 440 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9253 1272 ( 954 , 1696 ) 371 1325 M 53 4 18 22 _____________________________________________________________________________ 9254 1273 ( 1 , 1620529 ) 9256 1273 ( 67 , 24187 ) 9255 9257 1273 1273 810264 ( 19 , 85291 ) 42636 ( 361 , 4489 ) 2064 12060 810265 42655 12127 2425 P P M 19 M 2 1 2 1 67 4 _____________________________________________________________________________ 9258 1274 ( 2 , 811538 ) 405768 9260 1274 ( 26 , 62426 ) 31200 ( 182 , 8918 ) 4368 ( 686 , 2366 ) 840 9259 9261 9262 9263 9264 1274 1274 1274 1274 1274 ( 14 , 115934 ) ( 98 , 16562 ) ( 338 , 4802 ) 57960 8232 2232 405770 M 57974 31226 M 8330 M 2570 M 4550 1526 2 14 M 26 98 M 182 2 M 14 0 7 7 _____________________________________________________________________________ 9265 1275 ( 1 , 1625625 ) 9267 1275 ( 5 , 325125 ) 9266 9268 9269 9270 9271 9272 9273 1275 1275 1275 1275 1275 1275 1275 812812 812813 P ( 3 , 541875 ) 270936 ( 9 , 180625 ) 90308 90317 P ( 17 , 95625 ) 47804 47821 M 17 ( 45 , 36125 ) 18040 18085 M 5 ( 15 , 108375 ) ( 25 , 65025 ) ( 51 , 31875 ) 162560 54180 32500 15912 270939 1 162565 54195 32525 15963 M M M M M 3 1 5 15 25 51 441 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9274 1275 ( 75 , 21675 ) 10800 9276 1275 ( 125 , 13005 ) 6440 9275 9277 9278 9279 9280 9281 9282 9283 9284 9285 9286 1275 1275 1275 1275 1275 1275 1275 1275 1275 1275 1275 ( 85 , 19125 ) ( 153 , 10625 ) 9520 5236 10875 9605 M 6565 5389 3725 M ( 289 , 5625 ) 2668 2957 P ( 375 , 4335 ) ( 425 , 3825 ) ( 625 , 2601 ) ( 765 , 2125 ) ( 867 , 1875 ) ( 1125 , 1445 ) 1980 1700 3315 P 504 1371 M 160 1285 25 255 1 15 M 1613 1445 17 M 988 680 5 M 2355 2125 85 M 3500 3060 75 M ( 225 , 7225 ) ( 255 , 6375 ) M 425 1 M 85 3 M 4 5 18 22 _____________________________________________________________________________ 9287 1276 ( 2 , 814088 ) 407043 407045 P 1 9289 1276 ( 8 , 203522 ) 101757 101765 P 1 9288 9290 9291 9292 9293 9294 9295 9296 9297 9298 1276 1276 1276 1276 1276 1276 1276 1276 1276 1276 ( 4 , 407044 ) 203520 203524 M ( 22 , 74008 ) 36993 37015 M ( 58 , 28072 ) 14007 14065 M ( 44 , 37004 ) ( 88 , 18502 ) 18480 18524 9295 M ( 232 , 7018 ) 3393 3625 M ( 484 , 3364 ) 1440 1924 M ( 242 , 6728 ) ( 638 , 2552 ) 6960 3243 957 7076 3485 1595 11 M 9207 ( 116 , 14036 ) 4 M P M 44 29 11 116 29 1 4 319 442 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9299 1276 ( 968 , 1682 ) 357 1325 P 1 4 9 13 _____________________________________________________________________________ 9300 1277 ( 1 , 1630729 ) 815364 815365 1 P 0 1 1 _____________________________________________________________________________ 9301 1278 ( 2 , 816642 ) 408320 9303 1278 ( 18 , 90738 ) 45360 45378 ( 142 , 11502 ) 5680 5822 9302 9304 9305 9306 9307 1278 1278 1278 1278 1278 ( 6 , 272214 ) ( 54 , 30246 ) ( 162 , 10082 ) ( 426 , 3834 ) 136104 15096 4960 1704 408322 M 136110 M 15150 5122 2130 2 M 18 M 6 6 M 142 M 2 M 0 7 426 7 _____________________________________________________________________________ 9308 1279 ( 1 , 1635841 ) 817920 817921 1 P 0 1 1 _____________________________________________________________________________ 9309 1280 ( 2 , 819200 ) 409599 409601 P 9311 1280 ( 8 , 204800 ) 102396 102404 M 9310 9312 9313 9314 9315 9316 9317 1280 1280 1280 1280 1280 1280 1280 ( 4 , 409600 ) ( 10 , 163840 ) ( 16 , 102400 ) 204798 81915 51192 204802 81925 51208 1 M 2 4 M M 5 8 ( 20 , 81920 ) 40950 40970 M 10 ( 40 , 40960 ) 20460 20500 M 20 ( 32 , 51200 ) ( 50 , 32768 ) 25584 16359 25616 16409 M P 16 1 443 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9318 1280 ( 64 , 25600 ) 12768 12832 9320 1280 ( 100 , 16384 ) 8142 8242 M 2 5200 M 80 9319 9321 9322 9323 9324 9325 9326 9327 9328 9329 9330 1280 1280 1280 1280 1280 1280 1280 1280 1280 1280 1280 ( 80 , 20480 ) ( 128 , 12800 ) ( 160 , 10240 ) 10200 6336 5040 M 10280 32 M 6464 40 M 64 ( 200 , 8192 ) 3996 4196 M 4 ( 320 , 5120 ) 2400 2720 M 160 ( 256 , 6400 ) ( 400 , 4096 ) ( 512 , 3200 ) ( 640 , 2560 ) ( 800 , 2048 ) ( 1024 , 1600 ) 3072 1848 1344 960 624 288 3328 M 2248 1856 1600 1424 1312 256 M 8 M 64 M 320 M 16 M 32 2 20 22 _____________________________________________________________________________ 9331 1281 ( 1 , 1640961 ) 9333 1281 ( 7 , 234423 ) 9332 9334 9335 9336 9337 9338 9339 9340 9341 9342 1281 1281 1281 1281 1281 1281 1281 1281 1281 1281 820480 ( 3 , 546987 ) 273492 ( 9 , 182329 ) 91160 117208 820481 273495 91169 P 16769 P 39060 39081 ( 61 , 26901 ) 13420 13481 ( 63 , 26047 ) ( 147 , 11163 ) 16720 12992 5508 13055 5655 1 21 1 61 M M 4575 M ( 441 , 3721 ) 1640 2081 P 2135 M M 4392 1708 3 M ( 183 , 8967 ) ( 427 , 3843 ) 1 M 117215 ( 21 , 78141 ) ( 49 , 33489 ) P M 7 3 183 427 1 7 444 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9343 1281 ( 549 , 2989 ) 1220 1769 M 4 9 61 13 _____________________________________________________________________________ 9344 1282 ( 2 , 821762 ) 410880 410882 M 0 2 1 1 _____________________________________________________________________________ 9345 1283 ( 1 , 1646089 ) 823044 823045 1 P 0 1 1 _____________________________________________________________________________ 9346 1284 ( 2 , 824328 ) 412163 412165 P 9348 1284 ( 6 , 274776 ) 137385 137391 M 9347 9349 9350 9351 9352 9353 9354 9355 9356 9357 9358 1284 1284 1284 1284 1284 1284 1284 1284 1284 1284 1284 ( 4 , 412164 ) ( 8 , 206082 ) ( 12 , 137388 ) 206080 103037 68688 206084 M 103045 68700 45805 P ( 36 , 45796 ) 22880 22916 M ( 72 , 22898 ) 11413 ( 214 , 7704 ) 3745 ( 642 , 2568 ) 963 ( 428 , 3852 ) ( 856 , 1926 ) 1712 535 34359 3959 1605 1391 1 1 M 11485 2140 3 M 45787 34335 4 P ( 18 , 91592 ) ( 24 , 68694 ) 1 M 12 3 4 P 1 107 M 428 M 321 M 107 4 9 13 _____________________________________________________________________________ 9359 1285 ( 1 , 1651225 ) 9361 1285 ( 25 , 66049 ) 9360 1285 ( 5 , 330245 ) 825612 165120 33012 825613 165125 33037 P P M 1 1 5 445 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9362 1285 ( 257 , 6425 ) 3084 3341 M 2 2 257 4 _____________________________________________________________________________ 9363 1286 ( 2 , 826898 ) 413448 413450 M 0 2 1 1 _____________________________________________________________________________ 9364 1287 ( 1 , 1656369 ) 9366 1287 ( 9 , 184041 ) 9365 9367 9368 9369 9370 9371 9372 9373 9374 9375 9376 9377 9378 9379 9380 9381 9382 9383 9384 1287 1287 1287 1287 1287 1287 1287 1287 1287 1287 1287 1287 1287 1287 1287 1287 1287 1287 1287 828184 ( 3 , 552123 ) 276060 ( 11 , 150579 ) 75284 ( 13 , 127413 ) 92016 63700 828185 P 276063 92025 M 75295 1 M 9 M 63713 M 3 11 13 ( 27 , 61347 ) 30660 30687 M 3 ( 39 , 42471 ) 21216 21255 M 39 ( 33 , 50193 ) ( 81 , 20449 ) ( 99 , 16731 ) ( 117 , 14157 ) ( 121 , 13689 ) ( 143 , 11583 ) 25080 10184 8316 7020 6784 5720 25113 10265 8415 7137 M M M 6905 5863 P M ( 169 , 9801 ) 4816 4985 P ( 351 , 4719 ) 2184 2535 M ( 297 , 5577 ) ( 363 , 4563 ) ( 429 , 3861 ) ( 507 , 3267 ) ( 891 , 1859 ) ( 1053 , 1573 ) 2640 2100 1716 1380 484 260 2937 2463 2145 1887 1375 1313 P M M M M M M 33 1 99 117 1 1 143 33 39 3 429 3 11 13 446 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9385 1287 ( 1089 , 1521 ) 216 1305 M 4 9 18 22 _____________________________________________________________________________ 9386 1288 ( 2 , 829472 ) 414735 414737 P 9388 1288 ( 8 , 207368 ) 103680 103688 M 9387 9389 9390 9391 9392 9393 9394 9395 9396 9397 9398 9399 9400 9401 9402 9403 9404 9405 9406 9407 1288 1288 1288 1288 1288 1288 1288 1288 1288 1288 1288 1288 1288 1288 1288 1288 1288 1288 1288 1288 ( 4 , 414736 ) ( 14 , 118496 ) ( 16 , 103684 ) 207366 59241 51834 207370 M 59255 51850 29638 M ( 46 , 36064 ) 18009 18055 M ( 56 , 29624 ) ( 92 , 18032 ) ( 98 , 16928 ) ( 112 , 14812 ) 14784 8970 8415 7350 25937 14840 9062 8513 7462 8 7 M 29610 25905 2 M ( 28 , 59248 ) ( 32 , 51842 ) 1 2 14 P M 1 23 M P 56 46 1 M 14 ( 184 , 9016 ) 4416 4600 M 184 ( 224 , 7406 ) 3591 3815 M 7 ( 196 , 8464 ) ( 322 , 5152 ) ( 368 , 4508 ) ( 392 , 4232 ) ( 644 , 2576 ) ( 736 , 2254 ) ( 784 , 2116 ) ( 1058 , 1568 ) 4134 2415 2070 1920 4330 2737 2438 2312 M 2 M 161 M 46 M 8 966 1610 M 322 666 1450 M 2 759 255 1495 1313 M P 23 4 1 18 22 _____________________________________________________________________________ 447 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9408 1289 ( 1 , 1661521 ) 830760 830761 1 P 0 1 1 _____________________________________________________________________________ 9409 1290 ( 2 , 832050 ) 416024 416026 9411 1290 ( 10 , 166410 ) 83200 83210 9410 9412 9413 9414 9415 9416 9417 9418 9419 9420 9421 1290 1290 1290 1290 1290 1290 1290 1290 1290 1290 1290 ( 6 , 277350 ) 138672 M 138678 2 M 6 M ( 18 , 92450 ) 46216 46234 M 2 ( 50 , 33282 ) 16616 16666 M 2 ( 30 , 55470 ) ( 86 , 19350 ) ( 90 , 18490 ) ( 150 , 11094 ) 27720 9632 9200 5472 27750 M 9718 M 9290 30 86 M 5622 10 M 6 ( 258 , 6450 ) 3096 3354 M 258 ( 450 , 3698 ) 1624 2074 M 2 ( 430 , 3870 ) ( 774 , 2150 ) 1720 688 2150 1462 M M 10 430 86 0 13 13 _____________________________________________________________________________ 9422 1291 ( 1 , 1666681 ) 833340 833341 1 P 0 1 1 _____________________________________________________________________________ 9423 1292 ( 2 , 834632 ) 417315 417317 P 1 9425 1292 ( 8 , 208658 ) 104325 104333 P 1 9424 9426 9427 9428 1292 1292 1292 1292 ( 4 , 417316 ) 208656 208660 M ( 34 , 49096 ) 24531 24565 M ( 68 , 24548 ) 12240 12308 M ( 38 , 43928 ) 21945 21983 M 4 17 19 68 448 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9429 1292 ( 76 , 21964 ) 10944 11020 9431 1292 ( 152 , 10982 ) 5415 5567 9430 9432 9433 9434 9435 1292 1292 1292 1292 1292 ( 136 , 12274 ) 6069 ( 578 , 2888 ) 1155 ( 722 , 2312 ) 795 ( 646 , 2584 ) ( 1156 , 1444 ) 969 144 M 6205 1733 1615 1517 1300 76 M 17 M P 1 M 19 323 P 1 M 4 9 4 13 _____________________________________________________________________________ 9436 1293 ( 1 , 1671849 ) 9438 1293 ( 9 , 185761 ) 9437 9439 1293 1293 835924 ( 3 , 557283 ) 278640 ( 431 , 3879 ) 1724 92876 835925 278643 92885 2155 M P 1 M P 2 3 1 2 431 4 _____________________________________________________________________________ 9440 1294 ( 2 , 837218 ) 418608 418610 M 0 2 1 1 _____________________________________________________________________________ 9441 1295 ( 1 , 1677025 ) 9443 1295 ( 7 , 239575 ) 9442 9444 9445 9446 9447 9448 9449 1295 1295 1295 1295 1295 1295 1295 838512 838513 P ( 5 , 335405 ) 167700 ( 25 , 67081 ) 33528 33553 P ( 37 , 45325 ) 22644 22681 M ( 35 , 47915 ) ( 49 , 34225 ) ( 175 , 9583 ) ( 185 , 9065 ) 119784 23940 17088 4704 4440 167705 119791 23975 17137 4879 4625 1 M 5 M 1 M M M P 35 37 7 1 185 7 449 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9450 1295 ( 245 , 6845 ) 3300 9452 1295 ( 925 , 1813 ) 444 9451 9453 1295 1295 ( 259 , 6475 ) ( 1225 , 1369 ) 3108 72 3545 3367 1369 1297 M 5 M 259 M 37 P 4 1 9 13 _____________________________________________________________________________ 9454 1296 ( 2 , 839808 ) 419903 419905 P 9456 1296 ( 6 , 279936 ) 139965 139971 M 9455 9457 9458 9459 9460 9461 9462 9463 9464 9465 9466 9467 9468 9469 9470 9471 9472 9473 9474 1296 1296 1296 1296 1296 1296 1296 1296 1296 1296 1296 1296 1296 1296 1296 1296 1296 1296 1296 ( 4 , 419904 ) ( 8 , 209952 ) ( 12 , 139968 ) ( 16 , 104976 ) 209950 104972 69978 52480 209954 1 M 104980 2 3 M 69990 4 M 52496 6 M ( 18 , 93312 ) 46647 46665 M 9 ( 32 , 52488 ) 26228 26260 M 4 ( 24 , 69984 ) ( 36 , 46656 ) ( 48 , 34992 ) ( 54 , 31104 ) ( 64 , 26244 ) ( 72 , 23328 ) ( 96 , 17496 ) ( 108 , 15552 ) ( 128 , 13122 ) ( 144 , 11664 ) ( 162 , 10368 ) ( 192 , 8748 ) ( 216 , 7776 ) 34980 23310 17472 15525 13090 11628 8700 7722 6497 5760 5103 4278 3780 35004 M 23346 7830 6625 5904 5265 4470 3996 48 M 13154 8796 18 M 15579 11700 12 M 17520 27 M M M M P M M M M 16 2 36 12 54 1 144 81 6 108 450 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9475 1296 ( 288 , 5832 ) 2772 3060 M 36 9477 1296 ( 384 , 4374 ) 1995 2379 M 3 9476 9478 9479 9480 9481 9482 9483 9484 1296 1296 1296 1296 1296 1296 1296 1296 ( 324 , 5184 ) ( 432 , 3888 ) ( 486 , 3456 ) ( 576 , 2916 ) ( 648 , 2592 ) ( 864 , 1944 ) ( 972 , 1728 ) ( 1152 , 1458 ) 2430 1728 1485 1170 2754 M 2160 M 1971 1746 162 432 M 27 M 18 972 1620 M 324 378 1350 M 54 540 153 1404 M 1305 108 M 9 2 29 31 _____________________________________________________________________________ 9485 1297 ( 1 , 1682209 ) 841104 841105 1 P 0 1 1 _____________________________________________________________________________ 9486 1298 ( 2 , 842402 ) 9488 1298 ( 118 , 14278 ) 9487 9489 1298 1298 421200 ( 22 , 76582 ) 38280 ( 242 , 6962 ) 3360 7080 421202 38302 7198 3602 M M 22 M M 2 118 0 4 2 4 _____________________________________________________________________________ 9490 1299 ( 1 , 1687401 ) 9492 1299 ( 9 , 187489 ) 9491 9493 1299 1299 843700 ( 3 , 562467 ) 281232 ( 433 , 3897 ) 1732 93740 843701 281235 93749 2165 M P P 1 M 2 1 2 433 3 4 _____________________________________________________________________________ 451 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9494 1300 ( 2 , 845000 ) 422499 422501 P 1 9496 1300 ( 8 , 211250 ) 105621 105629 P 1 9495 9497 9498 9499 9500 9501 9502 9503 9504 9505 9506 9507 9508 9509 9510 9511 9512 9513 9514 9515 1300 1300 1300 1300 1300 1300 1300 1300 1300 1300 1300 1300 1300 1300 1300 1300 1300 1300 1300 1300 ( 4 , 422500 ) ( 10 , 169000 ) 211248 84495 211252 M 84505 4 M 5 ( 20 , 84500 ) 42240 42260 M 20 ( 40 , 42250 ) 21105 21145 M 5 ( 26 , 65000 ) ( 50 , 33800 ) ( 52 , 32500 ) ( 100 , 16900 ) ( 104 , 16250 ) ( 130 , 13000 ) 32487 16875 16224 8400 8073 6435 32513 M 16925 13 M 16276 25 M 52 8500 M 100 6565 M 65 8177 M 13 ( 200 , 8450 ) 4125 4325 M 25 ( 260 , 6500 ) 3120 3380 M 260 ( 250 , 6760 ) ( 338 , 5000 ) ( 500 , 3380 ) ( 520 , 3250 ) ( 650 , 2600 ) ( 676 , 2500 ) ( 1000 , 1690 ) ( 1250 , 1352 ) 3255 2331 1440 1365 975 912 345 51 3505 2669 1940 1885 1625 1588 1345 1301 M 5 P 1 M 20 M 65 M 325 M 4 M P 1 4 5 18 22 _____________________________________________________________________________ 9516 1301 ( 1 , 1692601 ) 846300 846301 1 P 0 1 1 _____________________________________________________________________________ 452 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9517 1302 ( 2 , 847602 ) 423800 423802 9519 1302 ( 14 , 121086 ) 60536 60550 9518 9520 9521 9522 9523 9524 9525 9526 9527 9528 9529 1302 1302 1302 1302 1302 1302 1302 1302 1302 1302 1302 ( 6 , 282534 ) 141264 141270 M 2 M 6 M 14 ( 18 , 94178 ) 47080 47098 M 2 ( 62 , 27342 ) 13640 13702 M 62 ( 42 , 40362 ) ( 98 , 17298 ) 20160 20202 M 42 8600 8698 M ( 186 , 9114 ) 4464 4650 M 186 ( 434 , 3906 ) 1736 2170 M 434 ( 126 , 13454 ) ( 294 , 5766 ) ( 558 , 3038 ) ( 882 , 1922 ) 6664 2736 1240 520 6790 M 3030 1798 1402 2 14 M 6 M M 2 0 62 13 13 _____________________________________________________________________________ 9530 1303 ( 1 , 1697809 ) 848904 848905 1 P 0 1 1 _____________________________________________________________________________ 9531 1304 ( 2 , 850208 ) 425103 425105 P 9533 1304 ( 8 , 212552 ) 106272 106280 M 9532 9534 9535 9536 9537 1304 1304 1304 1304 1304 ( 4 , 425104 ) ( 16 , 106276 ) ( 32 , 53138 ) ( 326 , 5216 ) ( 652 , 2608 ) 212550 53130 26553 2445 978 212554 M 53146 26585 2771 1630 1 2 8 M M M P 1 2 163 2 326 5 7 _____________________________________________________________________________ 453 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9538 1305 ( 1 , 1703025 ) 9540 1305 ( 5 , 340605 ) 9539 9541 9542 9543 9544 9545 9546 9547 9548 9549 9550 9551 9552 9553 9554 9555 9556 9557 9558 9559 1305 1305 1305 1305 1305 1305 1305 1305 1305 1305 1305 1305 1305 1305 1305 1305 1305 1305 1305 1305 851512 851513 P ( 3 , 567675 ) 283836 ( 9 , 189225 ) 94608 94617 M ( 25 , 68121 ) 34048 34073 P ( 29 , 58725 ) 29348 29377 M ( 15 , 113535 ) ( 27 , 63075 ) ( 45 , 37845 ) ( 75 , 22707 ) ( 81 , 21025 ) ( 87 , 19575 ) ( 135 , 12615 ) ( 145 , 11745 ) 170300 56760 31524 18900 11316 10472 9744 6240 5800 283839 1 M 170305 56775 3 M 9 M 31551 1 M 18945 29 45 M 10553 9831 M 6375 3 P 1 87 M 5945 15 M 145 ( 225 , 7569 ) 3672 3897 M 9 ( 405 , 4205 ) 1900 2305 M 5 ( 261 , 6525 ) ( 435 , 3915 ) ( 675 , 2523 ) ( 725 , 2349 ) ( 783 , 2175 ) ( 841 , 2025 ) 3132 1740 3393 2175 M 261 M 435 924 1599 M 3 696 1479 M 87 812 592 1537 1433 M P 15 3 M 11391 5 29 4 1 18 22 _____________________________________________________________________________ 9560 1306 ( 2 , 852818 ) 426408 426410 M 0 1 2 1 _____________________________________________________________________________ 454 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9561 1307 ( 1 , 1708249 ) 854124 854125 1 P 0 1 1 _____________________________________________________________________________ 9562 1308 ( 2 , 855432 ) 427715 427717 P 9564 1308 ( 6 , 285144 ) 142569 142575 M 9563 9565 9566 9567 9568 9569 9570 9571 9572 9573 9574 1308 1308 1308 1308 1308 1308 1308 1308 1308 1308 1308 ( 4 , 427716 ) ( 8 , 213858 ) ( 12 , 142572 ) 213856 106925 71280 213860 M 106933 71292 47533 P ( 36 , 47524 ) 23744 23780 M ( 72 , 23762 ) 11845 ( 218 , 7848 ) 3815 ( 654 , 2616 ) 981 ( 436 , 3924 ) ( 872 , 1962 ) 1744 545 35655 4033 1635 1417 1 1 M 11917 2180 3 M 47515 35631 4 P ( 18 , 95048 ) ( 24 , 71286 ) 1 M 12 3 4 P 1 109 M 436 M 327 M 109 4 9 13 _____________________________________________________________________________ 9575 1309 ( 1 , 1713481 ) 9577 1309 ( 11 , 155771 ) 9576 9578 9579 9580 9581 9582 9583 1309 1309 1309 1309 1309 1309 1309 856740 ( 7 , 244783 ) 122388 ( 17 , 100793 ) 50388 77880 856741 122395 17509 ( 119 , 14399 ) 7140 7259 ( 121 , 14161 ) ( 187 , 9163 ) 11088 7020 4488 11165 7141 4675 7 M 50405 17460 1 M 77891 ( 49 , 34969 ) ( 77 , 22253 ) P M P M M P M 11 1 17 77 119 1 187 455 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9584 1309 ( 289 , 5929 ) 2820 9586 1309 ( 833 , 2057 ) 612 9585 9587 1309 1309 ( 539 , 3179 ) ( 847 , 2023 ) 1320 588 3109 1859 1445 1435 P 1 M 11 M 17 M 7 4 9 13 _____________________________________________________________________________ 9588 1310 ( 2 , 858050 ) 429024 9590 1310 ( 50 , 34322 ) 17136 9589 9591 1310 1310 ( 10 , 171610 ) ( 262 , 6550 ) 85800 3144 429026 M 85810 17186 3406 2 M M M 2 0 4 262 10 4 _____________________________________________________________________________ 9592 1311 ( 1 , 1718721 ) 9594 1311 ( 9 , 190969 ) 9593 9595 9596 9597 9598 9599 9600 9601 9602 9603 9604 1311 1311 1311 1311 1311 1311 1311 1311 1311 1311 1311 859360 859361 ( 3 , 572907 ) 286452 ( 19 , 90459 ) 45220 45239 ( 57 , 30153 ) 15048 15105 ( 23 , 74727 ) ( 69 , 24909 ) ( 171 , 10051 ) 95480 37352 12420 4940 P 286455 P 37375 M 5111 ( 437 , 3933 ) 1748 2185 M ( 529 , 3249 ) ( 1083 , 1587 ) 1360 252 1889 1335 57 69 M M 2561 23 M 4255 2200 19 M 4048 19 23 P 1 P 1 M 3 1 M ( 207 , 8303 ) ( 361 , 4761 ) M 95489 12489 1 437 4 9 3 13 _____________________________________________________________________________ 456 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9605 1312 ( 2 , 860672 ) 430335 430337 P 9607 1312 ( 8 , 215168 ) 107580 107588 M 9606 9608 9609 9610 9611 9612 9613 9614 9615 9616 9617 1312 1312 1312 1312 1312 1312 1312 1312 1312 1312 1312 ( 4 , 430336 ) ( 16 , 107584 ) 215166 53784 215170 1 M 53800 2 4 M 8 ( 32 , 53792 ) 26880 26912 M 32 ( 82 , 20992 ) 10455 10537 M 41 ( 64 , 26896 ) ( 128 , 13448 ) ( 164 , 10496 ) 13416 6660 5166 13480 M 6788 M 5330 3234 3490 M ( 512 , 3362 ) 1425 1937 P ( 656 , 2624 ) 2460 984 2788 1640 4 M ( 256 , 6724 ) ( 328 , 5248 ) 8 82 2 M 164 1 M 328 2 11 13 _____________________________________________________________________________ 9618 1313 ( 1 , 1723969 ) 9620 1313 ( 101 , 17069 ) 9619 9621 1313 1313 ( 13 , 132613 ) ( 169 , 10201 ) 861984 66300 8484 5016 861985 66313 8585 5185 M P M P 2 1 13 101 2 1 4 _____________________________________________________________________________ 9622 1314 ( 2 , 863298 ) 431648 9624 1314 ( 18 , 95922 ) 47952 47970 ( 146 , 11826 ) 5840 5986 9623 9625 9626 9627 1314 1314 1314 1314 ( 6 , 287766 ) ( 54 , 31974 ) ( 162 , 10658 ) 143880 15960 5248 431650 143886 16014 5410 M M M M M M 2 18 6 146 2 6 457 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9628 1314 ( 438 , 3942 ) 1752 2190 M 0 7 438 7 _____________________________________________________________________________ 9629 1315 ( 1 , 1729225 ) 9631 1315 ( 25 , 69169 ) 9630 9632 1315 1315 ( 5 , 345845 ) ( 263 , 6575 ) 864612 172920 34572 3156 864613 172925 34597 3419 M P 1 M P 2 5 1 2 263 4 _____________________________________________________________________________ 9633 1316 ( 2 , 865928 ) 432963 432965 P 1 9635 1316 ( 8 , 216482 ) 108237 108245 P 1 9634 9636 9637 9638 9639 9640 9641 9642 9643 9644 9645 1316 1316 1316 1316 1316 1316 1316 1316 1316 1316 1316 ( 4 , 432964 ) ( 14 , 123704 ) 216480 61845 216484 M 61859 M ( 28 , 61852 ) 30912 ( 94 , 18424 ) 9165 9259 M ( 188 , 9212 ) 4512 4700 M ( 376 , 4606 ) 2115 2491 ( 56 , 30926 ) ( 98 , 17672 ) ( 196 , 8836 ) ( 392 , 4418 ) ( 658 , 2632 ) 15435 8787 4320 2013 987 30940 8885 28 M 7 47 P 4516 1645 7 M 15491 2405 4 1 188 M 4 M 47 P 1 M 329 4 9 13 _____________________________________________________________________________ 9646 1317 ( 1 , 1734489 ) 9648 1317 ( 9 , 192721 ) 9647 1317 ( 3 , 578163 ) 867244 289080 96356 867245 289083 96365 P P M 1 1 3 458 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9649 1317 ( 439 , 3951 ) 1756 2195 M 2 2 439 4 _____________________________________________________________________________ 9650 1318 ( 2 , 868562 ) 434280 434282 M 0 2 1 1 _____________________________________________________________________________ 9651 1319 ( 1 , 1739761 ) 869880 869881 1 P 0 1 1 _____________________________________________________________________________ 9652 1320 ( 2 , 871200 ) 435599 435601 P 9654 1320 ( 6 , 290400 ) 145197 145203 M 9653 9655 9656 9657 9658 9659 9660 9661 9662 9663 9664 9665 9666 9667 9668 9669 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 ( 4 , 435600 ) ( 8 , 217800 ) ( 10 , 174240 ) ( 12 , 145200 ) ( 16 , 108900 ) 217798 108896 217802 108904 M M 5 54442 54458 M 2 72594 72606 M P ( 22 , 79200 ) 39589 39611 M ( 32 , 54450 ) ( 36 , 48400 ) ( 40 , 43560 ) ( 44 , 39600 ) ( 48 , 36300 ) ( 50 , 34848 ) 8 87125 48409 ( 30 , 58080 ) 3 87115 48391 ( 24 , 72600 ) 2 M ( 18 , 96800 ) ( 20 , 87120 ) 1 43550 36288 29025 27209 24182 21760 19778 18126 17399 43570 36312 29055 27241 24218 21800 19822 18174 17449 M M M P M M M M P 6 1 10 11 24 15 1 2 40 22 6 1 459 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9670 1320 ( 60 , 29040 ) 14490 14550 M 30 9672 1320 ( 72 , 24200 ) 12064 12136 M 8 9671 9673 9674 9675 9676 9677 9678 9679 9680 9681 9682 9683 9684 9685 9686 9687 9688 9689 9690 9691 9692 9693 9694 9695 9696 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 ( 66 , 26400 ) ( 80 , 21780 ) ( 88 , 19800 ) ( 90 , 19360 ) ( 96 , 18150 ) ( 100 , 17424 ) ( 110 , 15840 ) ( 120 , 14520 ) ( 132 , 13200 ) ( 144 , 12100 ) ( 150 , 11616 ) ( 160 , 10890 ) 13167 10850 13233 10930 M 9856 9944 M 9027 9123 M 9635 8662 7865 7200 6534 5978 5733 5365 9725 8762 7975 7320 6666 6122 5883 5525 M M M 33 10 88 5 3 2 M 55 M 120 M 66 M 2 M M 3 5 ( 176 , 9900 ) 4862 5038 M 22 ( 198 , 8800 ) 4301 4499 M 11 ( 180 , 9680 ) ( 200 , 8712 ) ( 220 , 7920 ) ( 240 , 7260 ) ( 242 , 7200 ) ( 264 , 6600 ) ( 288 , 6050 ) ( 300 , 5808 ) ( 330 , 5280 ) ( 352 , 4950 ) ( 360 , 4840 ) 4750 4256 3850 3510 3479 3168 2881 2754 2475 2299 2240 4930 4456 4070 3750 3721 3432 3169 3054 2805 2651 2600 M M M M 10 8 110 30 P 1 P 1 M M M M M 264 6 165 11 40 460 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9697 1320 ( 396 , 4400 ) 2002 2398 M 22 9699 1320 ( 440 , 3960 ) 1760 2200 M 440 9698 9700 9701 9702 9703 9704 9705 9706 9707 9708 9709 9710 9711 9712 9713 9714 9715 9716 9717 9718 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 1320 ( 400 , 4356 ) ( 450 , 3872 ) ( 480 , 3630 ) ( 484 , 3600 ) ( 528 , 3300 ) ( 550 , 3168 ) ( 600 , 2904 ) ( 660 , 2640 ) ( 720 , 2420 ) ( 726 , 2400 ) ( 792 , 2200 ) ( 800 , 2178 ) ( 880 , 1980 ) ( 900 , 1936 ) ( 968 , 1800 ) ( 990 , 1760 ) ( 1056 , 1650 ) ( 1100 , 1584 ) ( 1200 , 1452 ) ( 1210 , 1440 ) 1978 1711 1575 1558 1386 1309 1152 2378 2161 2055 2042 1914 1859 1752 M 2 P 1 M 15 M 2 M 66 M 11 M 24 990 1650 M 330 837 1563 M 3 850 704 689 550 518 416 385 297 242 126 115 1570 M 1496 10 M 1489 88 P 1430 1 M 1418 110 M 1384 2 M 1375 1353 1342 1326 1325 8 M 55 M 33 M 22 M M 6 5 8 59 67 _____________________________________________________________________________ 9719 1321 ( 1 , 1745041 ) 872520 872521 1 P 0 1 1 _____________________________________________________________________________ 461 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9720 1322 ( 2 , 873842 ) 436920 436922 M 0 2 1 1 _____________________________________________________________________________ 9721 1323 ( 1 , 1750329 ) 9723 1323 ( 7 , 250047 ) 9722 9724 9725 9726 9727 9728 9729 9730 9731 9732 9733 9734 9735 9736 9737 1323 1323 1323 1323 1323 1323 1323 1323 1323 1323 1323 1323 1323 1323 1323 875164 ( 3 , 583443 ) 291720 ( 9 , 194481 ) 97236 125020 875165 291723 97245 M 32427 M 41664 41685 ( 49 , 35721 ) 17836 17885 ( 63 , 27783 ) ( 81 , 21609 ) ( 147 , 11907 ) 32400 13860 10764 5880 1 M 125027 ( 21 , 83349 ) ( 27 , 64827 ) P 3 M 9 M 21 27 M 13923 49 M 10845 63 M 6027 9 M 147 ( 189 , 9261 ) 4536 4725 M 189 ( 343 , 5103 ) 2380 2723 M 7 ( 243 , 7203 ) ( 441 , 3969 ) ( 567 , 3087 ) ( 729 , 2401 ) ( 1029 , 1701 ) 3480 1764 1260 836 336 3723 M 2205 1827 1565 1365 3 M 441 M P M 7 1 2 63 21 15 17 _____________________________________________________________________________ 9738 1324 ( 2 , 876488 ) 438243 438245 P 1 9740 1324 ( 8 , 219122 ) 109557 109565 P 1 9739 9741 1324 1324 ( 4 , 438244 ) ( 662 , 2648 ) 219120 993 219124 1655 M M 2 4 331 2 4 462 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 9742 1325 ( 1 , 1755625 ) 9744 1325 ( 25 , 70225 ) 35100 35125 ( 125 , 14045 ) 6960 7085 9743 9745 9746 9747 9748 1325 1325 1325 1325 1325 ( 5 , 351125 ) ( 53 , 33125 ) ( 265 , 6625 ) ( 625 , 2809 ) 877812 175560 16536 3180 1092 877813 P 175565 M 16589 3445 1717 1 M 25 M 53 M 5 M P 5 265 2 5 1 7 _____________________________________________________________________________ 9749 1326 ( 2 , 879138 ) 439568 9751 1326 ( 18 , 97682 ) 48832 48850 M ( 34 , 51714 ) 25840 25874 M 9750 9752 9753 9754 9755 9756 9757 9758 9759 9760 9761 1326 1326 1326 1326 1326 1326 1326 1326 1326 1326 1326 ( 6 , 293046 ) ( 26 , 67626 ) ( 78 , 22542 ) ( 102 , 17238 ) 146520 33800 11232 8568 439570 M 146526 33826 M 26 34 M 78 M 102 ( 234 , 7514 ) 3640 3874 M 26 ( 338 , 5202 ) 2432 2770 M 2 ( 306 , 5746 ) ( 442 , 3978 ) ( 578 , 3042 ) ( 1014 , 1734 ) 2720 1768 1232 360 3026 2210 1810 1374 M 34 M 442 M M 6 2 M 11310 8670 2 2 6 0 13 13 _____________________________________________________________________________ 9762 1327 ( 1 , 1760929 ) 880464 880465 1 P 0 1 1 463 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 9763 1328 ( 2 , 881792 ) 440895 440897 P 9765 1328 ( 8 , 220448 ) 110220 110228 M 9764 9766 9767 9768 9769 9770 9771 9772 1328 1328 1328 1328 1328 1328 1328 1328 ( 4 , 440896 ) ( 16 , 110224 ) 220446 55104 220450 27540 27572 ( 128 , 13778 ) 6825 6953 ( 64 , 27556 ) ( 166 , 10624 ) ( 332 , 5312 ) ( 664 , 2656 ) 13746 5229 2490 996 M 55120 ( 32 , 55112 ) 4 M 4 M P 5395 1660 2 M 13810 2822 1 1 M 16 2 83 M 166 M 332 2 8 10 _____________________________________________________________________________ 9773 1329 ( 1 , 1766241 ) 9775 1329 ( 9 , 196249 ) 9774 9776 1329 1329 883120 ( 3 , 588747 ) 294372 ( 443 , 3987 ) 1772 98120 883121 294375 98129 2215 M P 1 M P 2 3 1 2 443 4 _____________________________________________________________________________ 9777 1330 ( 2 , 884450 ) 442224 9779 1330 ( 14 , 126350 ) 63168 9778 9780 9781 9782 9783 9784 1330 1330 1330 1330 1330 1330 ( 10 , 176890 ) 88440 442226 M 88450 2 M 63182 10 M 14 ( 38 , 46550 ) 23256 23294 M 38 ( 70 , 25270 ) 12600 12670 M 70 ( 50 , 35378 ) ( 98 , 18050 ) ( 190 , 9310 ) 17664 8976 4560 17714 9074 4750 M M M 2 2 190 464 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9785 1330 ( 266 , 6650 ) 3192 3458 M 266 9787 1330 ( 490 , 3610 ) 1560 2050 M 10 9786 9788 9789 1330 1330 1330 ( 350 , 5054 ) ( 722 , 2450 ) ( 950 , 1862 ) 2352 864 456 2702 1586 1406 M 14 M 2 M 38 0 13 13 _____________________________________________________________________________ 9790 1331 ( 1 , 1771561 ) 9792 1331 ( 121 , 14641 ) 9791 1331 ( 11 , 161051 ) 885780 80520 7260 885781 80531 7381 M M P 1 1 11 2 121 3 _____________________________________________________________________________ 9793 1332 ( 2 , 887112 ) 443555 443557 P 9795 1332 ( 6 , 295704 ) 147849 147855 M 9794 9796 9797 9798 9799 9800 9801 9802 9803 9804 9805 9806 9807 1332 1332 1332 1332 1332 1332 1332 1332 1332 1332 1332 1332 1332 ( 4 , 443556 ) ( 8 , 221778 ) ( 12 , 147852 ) 221776 110885 73920 221780 1 M 110893 4 3 P 73932 1 M 12 ( 18 , 98568 ) 49275 49293 M 9 ( 36 , 49284 ) 24624 24660 M 36 ( 24 , 73926 ) ( 54 , 32856 ) ( 72 , 24642 ) ( 74 , 23976 ) ( 108 , 16428 ) ( 148 , 11988 ) ( 162 , 10952 ) ( 216 , 8214 ) 36951 16401 12285 11951 8160 5920 5395 3999 36975 M 16455 M 12357 12025 M M 5557 P 4215 3 M 8268 6068 3 M M 9 37 12 148 1 3 465 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9808 1332 ( 222 , 7992 ) 3885 4107 M 111 9810 1332 ( 324 , 5476 ) 2576 2900 M 4 9809 9811 9812 9813 9814 1332 1332 1332 1332 1332 ( 296 , 5994 ) ( 444 , 3996 ) ( 648 , 2738 ) ( 666 , 2664 ) ( 888 , 1998 ) 2849 1776 1045 999 555 3145 M 2220 1693 1665 1443 37 M 444 P 1 M 333 M 111 4 18 22 _____________________________________________________________________________ 9815 1333 ( 1 , 1776889 ) 9817 1333 ( 43 , 41323 ) 9816 9818 1333 1333 888444 ( 31 , 57319 ) 28644 ( 961 , 1849 ) 444 20640 888445 28675 20683 1405 P P M M 31 43 1 2 1 2 4 _____________________________________________________________________________ 9819 1334 ( 2 , 889778 ) 9821 1334 ( 58 , 30682 ) 9820 9822 1334 1334 444888 ( 46 , 38686 ) 19320 ( 1058 , 1682 ) 312 15312 444890 19366 15370 1370 M M M 46 M 0 4 2 2 58 4 _____________________________________________________________________________ 9823 1335 ( 1 , 1782225 ) 9825 1335 ( 5 , 356445 ) 9824 9826 9827 9828 1335 1335 1335 1335 891112 891113 P ( 3 , 594075 ) 297036 ( 9 , 198025 ) 99008 99017 P 35632 35657 P ( 15 , 118815 ) ( 25 , 71289 ) 178220 59400 297039 178225 59415 1 M M M 3 1 1 5 15 466 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9829 1335 ( 45 , 39605 ) 19780 9831 1335 ( 89 , 20025 ) 9968 9830 9832 9833 9834 9835 1335 1335 1335 1335 1335 ( 75 , 23763 ) 11844 19825 M 11919 M 10057 3848 4073 P ( 445 , 4005 ) 1780 2225 M ( 801 , 2225 ) 3204 712 3471 1513 3 M ( 225 , 7921 ) ( 267 , 6675 ) 5 1 M 89 267 445 M 89 4 9 13 _____________________________________________________________________________ 9836 1336 ( 2 , 892448 ) 446223 446225 P 9838 1336 ( 8 , 223112 ) 111552 111560 M 9837 9839 9840 9841 9842 1336 1336 1336 1336 1336 ( 4 , 446224 ) ( 16 , 111556 ) ( 32 , 55778 ) ( 334 , 5344 ) ( 668 , 2672 ) 223110 55770 27873 2505 1002 223114 M 55786 27905 2839 1670 1 2 8 M M P M 1 2 167 2 5 334 7 _____________________________________________________________________________ 9843 1337 ( 1 , 1787569 ) 9845 1337 ( 49 , 36481 ) 9844 9846 1337 1337 ( 7 , 255367 ) ( 191 , 9359 ) 893784 127680 18216 4584 893785 127687 18265 4775 M P 1 M P 2 1 2 191 7 4 _____________________________________________________________________________ 9847 1338 ( 2 , 895122 ) 447560 9849 1338 ( 18 , 99458 ) 49720 9848 1338 ( 6 , 298374 ) 149184 447562 149190 49738 M M M 2 2 6 467 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9850 1338 ( 446 , 4014 ) 1784 2230 M 0 4 446 4 _____________________________________________________________________________ 9851 1339 ( 1 , 1792921 ) 9853 1339 ( 103 , 17407 ) 9852 9854 1339 1339 ( 13 , 137917 ) ( 169 , 10609 ) 896460 68952 8652 5220 896461 68965 8755 M 5389 M P P 1 13 103 2 2 1 4 _____________________________________________________________________________ 9855 1340 ( 2 , 897800 ) 448899 448901 P 1 9857 1340 ( 8 , 224450 ) 112221 112229 P 1 9856 9858 9859 9860 9861 9862 9863 9864 9865 9866 9867 1340 1340 1340 1340 1340 1340 1340 1340 1340 1340 1340 ( 4 , 448900 ) ( 10 , 179560 ) 224448 89775 224452 M 89785 M ( 20 , 89780 ) 44880 44900 M ( 50 , 35912 ) 17931 17981 P ( 40 , 44890 ) ( 100 , 17956 ) ( 134 , 13400 ) 22425 8928 6633 22465 4589 P ( 536 , 3350 ) 1407 1943 M ( 670 , 2680 ) 1005 3484 1675 5 1 4 M 4389 3216 20 M ( 200 , 8978 ) ( 268 , 6700 ) 5 M 9028 6767 4 1 M M 67 268 67 4 9 335 13 _____________________________________________________________________________ 9868 1341 ( 1 , 1798281 ) 9870 1341 ( 9 , 199809 ) 9869 1341 ( 3 , 599427 ) 899140 299712 99900 899141 299715 99909 P M M 1 9 3 468 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9871 1341 ( 27 , 66603 ) 33288 33315 9873 1341 ( 149 , 12069 ) 5960 6109 9872 9874 1341 1341 ( 81 , 22201 ) ( 447 , 4023 ) 11060 1788 M 11141 2235 3 P 1 M M 149 2 5 447 7 _____________________________________________________________________________ 9875 1342 ( 2 , 900482 ) 9877 1342 ( 122 , 14762 ) 9876 9878 1342 1342 450240 ( 22 , 81862 ) 40920 ( 242 , 7442 ) 3600 7320 450242 40942 7442 3842 M M 22 M M 2 122 0 4 2 4 _____________________________________________________________________________ 9879 1343 ( 1 , 1803649 ) 9881 1343 ( 79 , 22831 ) 9880 9882 1343 1343 ( 17 , 106097 ) ( 289 , 6241 ) 901824 53040 11376 2976 901825 53057 11455 3265 P M P 1 17 M 2 2 1 79 4 _____________________________________________________________________________ 9883 1344 ( 2 , 903168 ) 451583 451585 P 9885 1344 ( 6 , 301056 ) 150525 150531 M 9884 9886 9887 9888 9889 9890 9891 1344 1344 1344 1344 1344 1344 1344 ( 4 , 451584 ) ( 8 , 225792 ) ( 12 , 150528 ) ( 14 , 129024 ) ( 16 , 112896 ) ( 18 , 100352 ) ( 24 , 75264 ) 225790 112892 225794 112900 M M 1 2 3 4 75258 75270 M 6 56440 56456 M 8 64505 50167 37620 64519 50185 37644 M P M 7 1 12 469 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9892 1344 ( 28 , 64512 ) 32242 32270 M 14 9894 1344 ( 36 , 50176 ) 25070 25106 M 2 9893 9895 9896 9897 9898 9899 9900 9901 9902 9903 9904 9905 9906 9907 9908 9909 9910 9911 9912 9913 9914 9915 9916 9917 9918 1344 1344 1344 1344 1344 1344 1344 1344 1344 1344 1344 1344 1344 1344 1344 1344 1344 1344 1344 1344 1344 1344 1344 1344 1344 ( 32 , 56448 ) ( 42 , 43008 ) ( 48 , 37632 ) ( 56 , 32256 ) ( 64 , 28224 ) ( 72 , 25088 ) ( 84 , 21504 ) ( 96 , 18816 ) ( 98 , 18432 ) ( 112 , 16128 ) ( 126 , 14336 ) ( 128 , 14112 ) ( 144 , 12544 ) ( 168 , 10752 ) 28208 21483 18792 16100 14080 12508 10710 9360 9167 8008 7105 6992 6200 5292 28240 M 21525 M 18840 8120 7231 7120 6344 5460 28 M 12580 9265 24 M 14144 9456 21 M 16156 10794 16 64 M M M P M M M M M 4 42 48 1 56 7 16 8 84 ( 192 , 9408 ) 4608 4800 M 192 ( 224 , 8064 ) 3920 4144 M 112 ( 196 , 9216 ) ( 252 , 7168 ) ( 256 , 7056 ) ( 288 , 6272 ) ( 294 , 6144 ) ( 336 , 5376 ) ( 384 , 4704 ) ( 392 , 4608 ) ( 448 , 4032 ) 4510 3458 3400 2992 2925 2520 2160 2108 1792 4706 3710 3656 3280 3219 2856 2544 2500 2240 M M M M M M M M M 2 14 8 16 3 168 48 4 448 470 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9919 1344 ( 504 , 3584 ) 1540 2044 M 28 9921 1344 ( 576 , 3136 ) 1280 1856 M 64 9920 9922 9923 9924 9925 9926 9927 9928 9929 9930 9931 1344 1344 1344 1344 1344 1344 1344 1344 1344 1344 1344 ( 512 , 3528 ) ( 588 , 3072 ) ( 672 , 2688 ) ( 768 , 2352 ) ( 784 , 2304 ) ( 882 , 2048 ) ( 896 , 2016 ) ( 1008 , 1792 ) ( 1024 , 1764 ) ( 1152 , 1568 ) ( 1176 , 1536 ) 1508 1242 1008 2020 M 1830 1680 M 1560 M 583 1465 P 560 392 370 208 180 1544 6 M 792 760 4 336 24 M 1456 1400 8 1 M 1394 1360 1356 112 M 56 M 2 M 16 M 12 4 45 49 _____________________________________________________________________________ 9932 1345 ( 1 , 1809025 ) 9934 1345 ( 25 , 72361 ) 9933 9935 1345 1345 ( 5 , 361805 ) ( 269 , 6725 ) 904512 180900 36168 3228 904513 180905 36193 3497 M P P 1 M 2 1 2 269 5 4 _____________________________________________________________________________ 9936 1346 ( 2 , 905858 ) 452928 452930 M 0 1 2 1 _____________________________________________________________________________ 9937 1347 ( 1 , 1814409 ) 9939 1347 ( 9 , 201601 ) 9938 1347 ( 3 , 604803 ) 907204 302400 100796 907205 302403 100805 P M P 1 3 1 471 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9940 1347 ( 449 , 4041 ) 1796 2245 M 2 2 449 4 _____________________________________________________________________________ 9941 1348 ( 2 , 908552 ) 454275 454277 P 1 9943 1348 ( 8 , 227138 ) 113565 113573 P 1 9942 9944 1348 1348 ( 4 , 454276 ) ( 674 , 2696 ) 227136 1011 227140 1685 M M 2 4 2 337 4 _____________________________________________________________________________ 9945 1349 ( 1 , 1819801 ) 9947 1349 ( 71 , 25631 ) 9946 9948 1349 1349 909900 ( 19 , 95779 ) 47880 ( 361 , 5041 ) 2340 12780 909901 47899 12851 2701 P M P 19 M 2 1 2 1 71 4 _____________________________________________________________________________ 9949 1350 ( 2 , 911250 ) 455624 455626 9951 1350 ( 10 , 182250 ) 91120 91130 9950 9952 9953 9954 9955 9956 9957 9958 9959 9960 1350 1350 1350 1350 1350 1350 1350 1350 1350 1350 ( 6 , 303750 ) ( 18 , 101250 ) 151872 50616 M 151878 2 M 6 M 50634 M 10 18 ( 30 , 60750 ) 30360 30390 M 30 ( 54 , 33750 ) 16848 16902 M 54 ( 50 , 36450 ) ( 90 , 20250 ) ( 150 , 12150 ) ( 162 , 11250 ) ( 250 , 7290 ) ( 270 , 6750 ) 18200 10080 6000 5544 3520 3240 18250 10170 6150 5706 3770 3510 M M M M M M 50 90 150 18 10 270 472 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9961 1350 ( 450 , 4050 ) 1800 9963 1350 ( 750 , 2430 ) 840 9962 9964 9965 1350 1350 1350 ( 486 , 3750 ) ( 810 , 2250 ) ( 1250 , 1458 ) 1632 720 104 2250 2118 1590 1530 1354 M 450 M 6 M 30 M 90 M 2 0 17 17 _____________________________________________________________________________ 9966 1351 ( 1 , 1825201 ) 9968 1351 ( 49 , 37249 ) 9967 9969 1351 1351 ( 7 , 260743 ) ( 193 , 9457 ) 912600 130368 18600 4632 912601 P 130375 18649 4825 M 1 M P 2 7 1 2 193 4 _____________________________________________________________________________ 9970 1352 ( 2 , 913952 ) 456975 456977 P 9972 1352 ( 8 , 228488 ) 114240 114248 M 9971 9973 9974 9975 9976 9977 9978 9979 9980 9981 1352 1352 1352 1352 1352 1352 1352 1352 1352 1352 ( 4 , 456976 ) ( 16 , 114244 ) 228486 57114 228490 M 57130 35139 35165 M ( 52 , 35152 ) 17550 17602 M ( 104 , 17576 ) 28545 8736 28577 8840 2 8 M ( 26 , 70304 ) ( 32 , 57122 ) 1 2 13 P M 1 26 104 ( 208 , 8788 ) 4290 4498 M 26 ( 416 , 4394 ) 1989 2405 M 13 ( 338 , 5408 ) ( 676 , 2704 ) 2535 1014 2873 1690 M M 169 2 338 10 12 _____________________________________________________________________________ 473 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 9982 1353 ( 1 , 1830609 ) 9984 1353 ( 9 , 203401 ) 9983 9985 9986 9987 9988 9989 9990 9991 9992 9993 9994 1353 1353 1353 1353 1353 1353 1353 1353 1353 1353 1353 915304 915305 ( 3 , 610203 ) 305100 305103 ( 11 , 166419 ) 83204 83215 101696 ( 33 , 55473 ) 27720 ( 99 , 18491 ) 9196 ( 41 , 44649 ) ( 121 , 15129 ) ( 123 , 14883 ) 22304 7504 7380 7625 7503 3 P 1 M 27753 9295 1 M 101705 22345 P 11 M M 33 M 41 11 P 1 M 123 ( 363 , 5043 ) 2340 2703 M 3 ( 451 , 4059 ) 1804 2255 M 451 ( 369 , 4961 ) ( 1089 , 1681 ) 2296 296 2665 1385 M 41 P 4 9 1 13 _____________________________________________________________________________ 9995 1354 ( 2 , 916658 ) 458328 458330 M 0 2 1 1 _____________________________________________________________________________ 9996 1355 ( 1 , 1836025 ) 9998 1355 ( 25 , 73441 ) 9997 9999 1355 1355 ( 5 , 367205 ) ( 271 , 6775 ) 918012 183600 36708 3252 918013 183605 36733 3523 M P P 1 M 2 1 2 271 5 4 _____________________________________________________________________________ 10000 1356 ( 2 , 919368 ) 459683 459685 P 10002 1356 ( 6 , 306456 ) 153225 153231 M 10001 1356 ( 4 , 459684 ) 229840 229844 M 1 4 3 474 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10003 1356 ( 8 , 229842 ) 114917 114925 10005 1356 ( 18 , 102152 ) 51067 51085 10004 10006 10007 10008 10009 10010 10011 10012 1356 1356 1356 1356 1356 1356 1356 1356 ( 12 , 153228 ) 76608 76620 P M 38295 38319 M ( 72 , 25538 ) 12733 12805 P ( 226 , 8136 ) ( 452 , 4068 ) ( 678 , 2712 ) ( 904 , 2034 ) 25520 25556 4181 M 1017 1695 M 565 2260 1469 1 3 M 3955 1808 12 P ( 24 , 76614 ) ( 36 , 51076 ) 1 4 1 113 M M 452 339 4 9 113 13 _____________________________________________________________________________ 10013 1357 ( 1 , 1841449 ) 10015 1357 ( 59 , 31211 ) 10014 10016 1357 1357 920724 ( 23 , 80063 ) 40020 ( 529 , 3481 ) 1476 15576 920725 40043 15635 2005 P P M 23 M 2 2 1 1 59 4 _____________________________________________________________________________ 10017 1358 ( 2 , 922082 ) 461040 10019 1358 ( 98 , 18818 ) 9360 10018 10020 1358 1358 ( 14 , 131726 ) ( 194 , 9506 ) 65856 4656 461042 65870 9458 4850 M M M 2 M 2 0 4 14 194 4 _____________________________________________________________________________ 10021 1359 ( 1 , 1846881 ) 10023 1359 ( 9 , 205209 ) 10022 1359 ( 3 , 615627 ) 923440 307812 102600 923441 307815 102609 P M M 1 3 9 475 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10024 1359 ( 27 , 68403 ) 34188 34215 10026 1359 ( 151 , 12231 ) 6040 6191 10025 10027 1359 1359 ( 81 , 22801 ) ( 453 , 4077 ) 11360 1812 11441 2265 M 3 P 1 M M 151 2 5 453 7 _____________________________________________________________________________ 10028 1360 ( 2 , 924800 ) 462399 462401 P 10030 1360 ( 8 , 231200 ) 115596 115604 M 10029 10031 10032 10033 10034 10035 10036 10037 10038 10039 10040 10041 10042 10043 10044 10045 10046 10047 10048 1360 1360 1360 1360 1360 1360 1360 1360 1360 1360 1360 1360 1360 1360 1360 1360 1360 1360 1360 ( 4 , 462400 ) ( 10 , 184960 ) ( 16 , 115600 ) 231198 92475 57792 231202 1 M 92485 2 4 M 57808 5 M 16 ( 20 , 92480 ) 46230 46250 M 10 ( 34 , 54400 ) 27183 27217 M 17 ( 32 , 57800 ) ( 40 , 46240 ) ( 50 , 36992 ) ( 64 , 28900 ) ( 68 , 27200 ) ( 80 , 23120 ) ( 100 , 18496 ) ( 128 , 14450 ) ( 136 , 13600 ) ( 160 , 11560 ) ( 170 , 10880 ) 28884 23100 18471 14418 13566 11520 28916 M 23140 M 18521 13634 M M 6732 6868 M 5700 5355 5860 5525 2 M 9298 7289 1 M 9198 7161 20 P 14482 11600 4 P M M 34 2 1 68 20 85 ( 200 , 9248 ) 4524 4724 M 4 ( 320 , 5780 ) 2730 3050 M 10 ( 272 , 6800 ) 3264 3536 M 80 272 476 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10049 1360 ( 340 , 5440 ) 2550 2890 M 170 10051 1360 ( 544 , 3400 ) 1428 1972 M 68 10050 10052 10053 10054 10055 10056 10057 10058 1360 1360 1360 1360 1360 1360 1360 1360 ( 400 , 4624 ) ( 578 , 3200 ) ( 640 , 2890 ) ( 680 , 2720 ) ( 800 , 2312 ) ( 850 , 2176 ) ( 1088 , 1700 ) ( 1156 , 1600 ) 2112 1311 1125 1020 756 663 306 222 2512 M 1889 P 1765 1700 1556 1513 1394 16 1 M 5 M 340 M 4 M 17 M 1378 M 34 4 27 2 31 _____________________________________________________________________________ 10059 1361 ( 1 , 1852321 ) 926160 926161 P 1 0 1 1 _____________________________________________________________________________ 10060 1362 ( 2 , 927522 ) 463760 463762 10062 1362 ( 18 , 103058 ) 51520 51538 10061 10063 1362 1362 ( 6 , 309174 ) ( 454 , 4086 ) 154584 1816 M 154590 2270 2 M M 6 M 0 454 4 2 4 _____________________________________________________________________________ 10064 1363 ( 1 , 1857769 ) 10066 1363 ( 47 , 39527 ) 10065 10067 1363 1363 928884 ( 29 , 64061 ) 32016 ( 841 , 2209 ) 684 19740 928885 32045 19787 1525 P M P 29 M 2 2 1 1 47 4 _____________________________________________________________________________ 477 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10068 1364 ( 2 , 930248 ) 465123 465125 P 1 10070 1364 ( 8 , 232562 ) 116277 116285 P 1 10069 10071 10072 10073 10074 10075 10076 10077 10078 10079 10080 1364 1364 1364 1364 1364 1364 1364 1364 1364 1364 1364 ( 4 , 465124 ) 232560 232564 M ( 22 , 84568 ) 42273 42295 M ( 62 , 30008 ) 14973 15035 M ( 44 , 42284 ) ( 88 , 21142 ) ( 124 , 15004 ) 21120 10527 7440 21164 10615 7564 P ( 484 , 3844 ) 1680 2164 M ( 968 , 1922 ) 1023 477 3875 1705 1445 31 11 M 3965 ( 682 , 2728 ) 44 M 3723 3627 11 M ( 242 , 7688 ) ( 248 , 7502 ) 4 1 M 31 4 M P 124 4 9 1 341 13 _____________________________________________________________________________ 10081 1365 ( 1 , 1863225 ) 10083 1365 ( 5 , 372645 ) 10082 10084 10085 10086 10087 10088 10089 10090 10091 10092 1365 1365 1365 1365 1365 1365 1365 1365 1365 1365 931612 931613 P 1 ( 3 , 621075 ) 310536 310539 M 3 ( 7 , 266175 ) 133084 133091 M 7 ( 9 , 207025 ) ( 13 , 143325 ) ( 15 , 124215 ) 186320 103508 71656 62100 186325 103517 71669 62115 M P M 44352 44373 M ( 35 , 53235 ) 26600 26635 M ( 39 , 47775 ) ( 45 , 41405 ) 37252 23868 20680 37277 23907 20725 1 M ( 21 , 88725 ) ( 25 , 74529 ) 5 P M M 13 15 21 1 35 39 5 478 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10093 1365 ( 49 , 38025 ) 18988 19037 P 10095 1365 ( 65 , 28665 ) 14300 14365 M 10094 10096 10097 10098 10099 10100 10101 10102 10103 10104 10105 10106 10107 10108 10109 10110 10111 10112 10113 10114 10115 10116 10117 10118 10119 1365 1365 1365 1365 1365 1365 1365 1365 1365 1365 1365 1365 1365 1365 1365 1365 1365 1365 1365 1365 1365 1365 1365 1365 1365 ( 63 , 29575 ) ( 75 , 24843 ) ( 91 , 20475 ) ( 105 , 17745 ) ( 117 , 15925 ) ( 147 , 12675 ) ( 169 , 11025 ) ( 175 , 10647 ) 14756 12384 10192 14819 M 12459 10283 M 105 6264 6411 M 3 7904 5428 5236 8021 M 5597 5411 M 3680 3925 M ( 455 , 4095 ) ( 507 , 3675 ) ( 525 , 3549 ) ( 585 , 3185 ) ( 637 , 2925 ) ( 735 , 2535 ) ( 819 , 2275 ) ( 845 , 2205 ) ( 975 , 1911 ) ( 1183 , 1575 ) 4028 3276 2800 2704 1892 1820 1584 1512 1300 1144 4253 3549 3115 3029 2333 2275 2091 2037 1885 1781 13 P ( 245 , 7605 ) ( 441 , 4225 ) 91 8925 M ( 325 , 5733 ) 3 8820 4875 ( 315 , 5915 ) 65 M 4680 ( 273 , 6825 ) 7 M ( 195 , 9555 ) ( 225 , 8281 ) 1 P M M M P M M M M M 1 7 195 1 5 273 35 13 1 455 3 21 65 13 900 1635 M 15 680 1525 M 5 728 468 196 1547 1443 1379 M M M 91 39 7 479 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10120 1365 ( 1225 , 1521 ) 148 1373 P 8 32 1 40 _____________________________________________________________________________ 10121 1366 ( 2 , 932978 ) 466488 466490 0 M 1 2 1 _____________________________________________________________________________ 10122 1367 ( 1 , 1868689 ) 934344 934345 P 1 0 1 1 _____________________________________________________________________________ 10123 1368 ( 2 , 935712 ) 467855 467857 P 10125 1368 ( 6 , 311904 ) 155949 155955 M 10124 10126 10127 10128 10129 10130 10131 10132 10133 10134 10135 10136 10137 10138 10139 10140 1368 1368 1368 1368 1368 1368 1368 1368 1368 1368 1368 1368 1368 1368 1368 1368 ( 4 , 467856 ) ( 8 , 233928 ) ( 12 , 155952 ) ( 16 , 116964 ) ( 18 , 103968 ) 233926 116960 77970 58474 51975 233930 M 116968 6 51993 M 9 58490 M M ( 36 , 51984 ) 25974 26010 M ( 48 , 38988 ) ( 54 , 34656 ) ( 72 , 25992 ) ( 76 , 24624 ) ( 96 , 19494 ) ( 108 , 17328 ) ( 114 , 16416 ) 24605 19470 17301 12960 12274 9699 8610 8151 8 M 39000 ( 38 , 49248 ) 3 77982 38976 29225 2 M ( 24 , 77976 ) ( 32 , 58482 ) 1 29257 19 6 M 13032 8265 18 M 17355 8718 1 M 19518 9795 24 P 24643 12350 2 3 M M M M M 72 3 6 38 57 480 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10141 1368 ( 144 , 12996 ) 6426 6570 M 10143 1368 ( 162 , 11552 ) 5695 5857 P 10142 10144 10145 10146 10147 10148 10149 10150 10151 10152 10153 10154 10155 10156 10157 10158 10159 1368 1368 1368 1368 1368 1368 1368 1368 1368 1368 1368 1368 1368 1368 1368 1368 1368 ( 152 , 12312 ) 6080 6232 18 M 152 1 ( 216 , 8664 ) 4224 4440 M 24 ( 288 , 6498 ) 3105 3393 M 9 ( 228 , 8208 ) ( 304 , 6156 ) ( 324 , 5776 ) ( 342 , 5472 ) ( 432 , 4332 ) ( 456 , 4104 ) ( 608 , 3078 ) ( 648 , 2888 ) ( 684 , 2736 ) ( 722 , 2592 ) ( 864 , 2166 ) ( 912 , 2052 ) ( 1026 , 1824 ) ( 1296 , 1444 ) 3990 2926 2726 2565 1950 1824 1235 1120 1026 4218 M 3230 M 3050 2382 1843 8 M 570 1482 M 1370 19 M P 74 456 M 1768 1425 6 M 1657 399 171 M 2280 1515 2 M 935 651 38 M 2907 1710 114 1 M 3 114 M M 342 57 2 4 33 37 _____________________________________________________________________________ 10160 10161 1369 1369 ( 1 , 1874161 ) ( 37 , 50653 ) 937080 25308 937081 25345 P M 1 1 37 1 2 _____________________________________________________________________________ 10162 10163 1370 1370 ( 2 , 938450 ) ( 10 , 187690 ) 469224 93840 469226 93850 M M 2 10 481 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10164 10165 1370 1370 ( 50 , 37538 ) ( 274 , 6850 ) 18744 3288 18794 3562 M M 2 0 4 274 4 _____________________________________________________________________________ 10166 1371 ( 1 , 1879641 ) 10168 1371 ( 9 , 208849 ) 10167 10169 1371 1371 939820 ( 3 , 626547 ) 313272 ( 457 , 4113 ) 1828 104420 939821 P 313275 104429 2285 M 1 M 3 P 2 2 1 457 4 _____________________________________________________________________________ 10170 1372 ( 2 , 941192 ) 470595 470597 P 1 10172 1372 ( 8 , 235298 ) 117645 117653 P 1 10171 10173 10174 10175 10176 10177 10178 10179 1372 1372 1372 1372 1372 1372 1372 1372 ( 4 , 470596 ) ( 14 , 134456 ) 235296 67221 ( 28 , 67228 ) 33600 ( 98 , 19208 ) 9555 ( 56 , 33614 ) ( 196 , 9604 ) ( 392 , 4802 ) ( 686 , 2744 ) 16779 235300 M 67235 M 33628 16835 9653 M 4900 M 1029 1715 M 2597 7 M 4704 2205 4 28 M 49 7 196 M 49 2 8 343 10 _____________________________________________________________________________ 10180 1373 ( 1 , 1885129 ) 942564 942565 1 P 0 1 1 _____________________________________________________________________________ 10181 10182 1374 1374 ( 2 , 943938 ) ( 6 , 314646 ) 471968 157320 471970 157326 M M 2 6 482 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10183 10184 1374 1374 ( 18 , 104882 ) ( 458 , 4122 ) 52432 1832 52450 2290 M M 0 4 458 2 4 _____________________________________________________________________________ 10185 1375 ( 1 , 1890625 ) 10187 1375 ( 11 , 171875 ) 10186 10188 10189 10190 10191 10192 10193 10194 1375 1375 1375 1375 1375 1375 1375 1375 945312 945313 ( 5 , 378125 ) 189060 ( 25 , 75625 ) 37800 37825 ( 121 , 15625 ) 7752 7873 ( 55 , 34375 ) ( 125 , 15125 ) 85932 17160 7500 P 189065 M 85943 17215 7625 1 5 M 11 M 25 M P 1 M 55 125 ( 275 , 6875 ) 3300 3575 M 275 ( 625 , 3025 ) 1200 1825 M 25 ( 605 , 3125 ) 1260 1865 M 5 2 8 10 _____________________________________________________________________________ 10195 1376 ( 2 , 946688 ) 473343 473345 P 10197 1376 ( 8 , 236672 ) 118332 118340 M 10196 10198 10199 10200 10201 10202 10203 10204 10205 1376 1376 1376 1376 1376 1376 1376 1376 1376 ( 4 , 473344 ) ( 16 , 118336 ) 236670 59160 236674 1 M 59176 2 4 M 8 ( 32 , 59168 ) 29568 29600 M 32 ( 86 , 22016 ) 10965 11051 M 43 ( 64 , 29584 ) ( 128 , 14792 ) ( 172 , 11008 ) ( 256 , 7396 ) ( 344 , 5504 ) 14760 7332 5418 3570 2580 14824 7460 5590 3826 2924 M M M M M 8 4 86 2 172 483 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10206 10207 1376 1376 ( 512 , 3698 ) ( 688 , 2752 ) 1593 1032 2105 P 1720 M 1 2 11 344 13 _____________________________________________________________________________ 10208 1377 ( 1 , 1896129 ) 10210 1377 ( 9 , 210681 ) 10209 10211 10212 10213 10214 10215 10216 10217 10218 10219 10220 1377 1377 1377 1377 1377 1377 1377 1377 1377 1377 1377 948064 948065 ( 3 , 632043 ) 316020 316023 ( 17 , 111537 ) 55760 55777 105336 P 1 M 105345 3 M 9 M 17 ( 27 , 70227 ) 35100 35127 M 27 ( 81 , 23409 ) 11664 11745 M 81 ( 51 , 37179 ) ( 153 , 12393 ) 18564 6120 18615 M 6273 M ( 243 , 7803 ) 3780 4023 M ( 459 , 4131 ) 1836 2295 M ( 289 , 6561 ) ( 729 , 2601 ) ( 867 , 2187 ) 3136 936 660 3425 1665 1527 51 153 27 P 1 M 9 M 459 3 2 11 13 _____________________________________________________________________________ 10221 1378 ( 2 , 949442 ) 10223 1378 ( 106 , 17914 ) 10222 10224 1378 1378 474720 ( 26 , 73034 ) 36504 ( 338 , 5618 ) 2640 8904 474722 36530 9010 2978 M M 26 M M 2 106 0 4 2 4 _____________________________________________________________________________ 10225 10226 1379 1379 ( 1 , 1901641 ) ( 7 , 271663 ) 950820 135828 950821 135835 P M 1 7 484 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10227 10228 1379 1379 ( 49 , 38809 ) ( 197 , 9653 ) 19380 4728 19429 4925 M P 1 2 2 197 4 _____________________________________________________________________________ 10229 1380 ( 2 , 952200 ) 476099 476101 P 10231 1380 ( 6 , 317400 ) 158697 158703 M 10230 10232 10233 10234 10235 10236 10237 10238 10239 10240 10241 10242 10243 10244 10245 10246 10247 10248 10249 10250 10251 1380 1380 1380 1380 1380 1380 1380 1380 1380 1380 1380 1380 1380 1380 1380 1380 1380 1380 1380 1380 1380 ( 4 , 476100 ) ( 8 , 238050 ) ( 10 , 190440 ) ( 12 , 158700 ) ( 18 , 105800 ) 238048 119021 95215 79344 52891 238052 1 M 119029 4 3 P 95225 M 52909 P 79356 1 5 M 12 1 ( 20 , 95220 ) 47600 47620 M 20 ( 30 , 63480 ) 31725 31755 M 15 ( 24 , 79350 ) ( 36 , 52900 ) ( 40 , 47610 ) ( 46 , 41400 ) ( 50 , 38088 ) ( 60 , 31740 ) ( 72 , 26450 ) ( 90 , 21160 ) ( 92 , 20700 ) ( 100 , 19044 ) ( 120 , 15870 ) ( 138 , 13800 ) ( 150 , 12696 ) ( 180 , 10580 ) 39663 26432 23785 20677 19019 15840 13189 10535 10304 39687 26468 23825 20723 19069 15900 13261 10625 10396 M 3 M 4 M M 5 23 P 1 P 1 M M M 60 5 92 9472 9572 M 4 6831 6969 M 69 7875 6273 5200 7995 6423 5380 M M M 15 3 20 485 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10252 1380 ( 184 , 10350 ) 10254 1380 ( 230 , 8280 ) 10253 10255 10256 10257 10258 10259 10260 10261 10262 10263 10264 10265 10266 10267 10268 1380 1380 1380 1380 1380 1380 1380 1380 1380 1380 1380 1380 1380 1380 1380 5083 5267 M ( 200 , 9522 ) 4661 4861 P ( 276 , 6900 ) 3312 3588 M ( 300 , 6348 ) ( 360 , 5290 ) ( 414 , 4600 ) ( 450 , 4232 ) ( 460 , 4140 ) ( 552 , 3450 ) ( 600 , 3174 ) ( 690 , 2760 ) ( 828 , 2300 ) ( 900 , 2116 ) ( 920 , 2070 ) ( 1058 , 1800 ) ( 1150 , 1656 ) 4025 3024 2465 2093 1891 1840 1449 1287 1035 4255 M 3324 115 276 M 2825 12 M 2507 5 M 2341 23 P 2300 1 M 2001 460 M 1887 1725 1 23 69 M 3 M 345 736 1564 M 92 575 1495 M 115 608 371 253 1508 1429 M 1403 4 P M 1 8 32 23 40 _____________________________________________________________________________ 10269 1381 ( 1 , 1907161 ) 953580 953581 1 P 0 1 1 _____________________________________________________________________________ 10270 1382 ( 2 , 954962 ) 477480 477482 0 M 1 1 2 _____________________________________________________________________________ 10271 10272 1383 1383 ( 1 , 1912689 ) ( 3 , 637563 ) 956344 318780 956345 318783 P M 1 3 486 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10273 10274 1383 1383 ( 9 , 212521 ) ( 461 , 4149 ) 106256 1844 106265 2305 M P 2 2 1 461 4 _____________________________________________________________________________ 10275 1384 ( 2 , 957728 ) 478863 478865 P 10277 1384 ( 8 , 239432 ) 119712 119720 M 10276 10278 10279 10280 10281 1384 1384 1384 1384 1384 ( 4 , 478864 ) ( 16 , 119716 ) 239430 59850 ( 32 , 59858 ) 29913 ( 692 , 2768 ) 1038 ( 346 , 5536 ) 2595 239434 M 59866 29945 2941 1730 1 2 8 M M M P 1 2 173 2 5 346 7 _____________________________________________________________________________ 10282 1385 ( 1 , 1918225 ) 10284 1385 ( 25 , 76729 ) 10283 10285 1385 1385 ( 5 , 383645 ) ( 277 , 6925 ) 959112 191820 38352 3324 959113 191825 38377 3601 M P P 1 M 2 5 1 2 277 4 _____________________________________________________________________________ 10286 1386 ( 2 , 960498 ) 480248 480250 10288 1386 ( 14 , 137214 ) 68600 68614 10287 10289 10290 10291 10292 10293 1386 1386 1386 1386 1386 1386 ( 6 , 320166 ) ( 18 , 106722 ) 160080 53352 160086 53370 M 2 M 6 M M 14 18 ( 22 , 87318 ) 43648 43670 M 22 ( 54 , 35574 ) 17760 17814 M 6 ( 42 , 45738 ) ( 66 , 29106 ) 22848 14520 22890 14586 M M 42 66 487 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10294 1386 ( 98 , 19602 ) 10296 1386 ( 154 , 12474 ) 10295 10297 10298 10299 10300 10301 10302 10303 10304 10305 10306 10307 1386 1386 1386 1386 1386 1386 1386 1386 1386 1386 1386 1386 ( 126 , 15246 ) ( 162 , 11858 ) 9752 7560 6160 5848 9850 M 7686 2 M 6314 126 M 6010 154 M 2 ( 198 , 9702 ) 4752 4950 M 198 ( 294 , 6534 ) 3120 3414 M 6 ( 242 , 7938 ) ( 378 , 5082 ) ( 462 , 4158 ) ( 594 , 3234 ) ( 726 , 2646 ) ( 882 , 2178 ) ( 1078 , 1782 ) ( 1134 , 1694 ) 3848 2352 1848 1320 960 648 352 280 4090 M 2730 M 2310 1914 1686 1530 1430 2 42 M 462 M 66 M 6 M 1414 18 M M 22 0 22 14 22 _____________________________________________________________________________ 10308 1387 ( 1 , 1923769 ) 10310 1387 ( 73 , 26353 ) 10309 10311 1387 1387 ( 19 , 101251 ) ( 361 , 5329 ) 961884 50616 13140 2484 961885 50635 13213 2845 P M P 1 19 M 2 2 1 73 4 _____________________________________________________________________________ 10312 1388 ( 2 , 963272 ) 481635 481637 P 1 10314 1388 ( 8 , 240818 ) 120405 120413 P 1 10313 10315 1388 1388 ( 4 , 481636 ) ( 694 , 2776 ) 240816 1041 240820 1735 M M 2 4 2 347 4 488 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 10316 1389 ( 1 , 1929321 ) 10318 1389 ( 9 , 214369 ) 10317 10319 1389 1389 964660 ( 3 , 643107 ) 321552 ( 463 , 4167 ) 1852 107180 964661 P 321555 107189 2315 1 M 3 P M 2 2 1 463 4 _____________________________________________________________________________ 10320 1390 ( 2 , 966050 ) 483024 10322 1390 ( 50 , 38642 ) 19296 10321 10323 1390 1390 ( 10 , 193210 ) ( 278 , 6950 ) 96600 3336 483026 M 96610 19346 3614 2 M M M 2 0 4 10 278 4 _____________________________________________________________________________ 10324 1391 ( 1 , 1934881 ) 10326 1391 ( 107 , 18083 ) 10325 10327 1391 1391 967440 ( 13 , 148837 ) 74412 ( 169 , 11449 ) 5640 8988 967441 74425 9095 5809 M P M P 2 1 13 107 2 1 4 _____________________________________________________________________________ 10328 1392 ( 2 , 968832 ) 484415 484417 P 10330 1392 ( 6 , 322944 ) 161469 161475 M 10329 10331 10332 10333 10334 10335 1392 1392 1392 1392 1392 1392 ( 4 , 484416 ) ( 8 , 242208 ) ( 12 , 161472 ) ( 16 , 121104 ) ( 18 , 107648 ) ( 24 , 80736 ) 242206 121100 80730 60544 53815 40356 242210 121108 M M 80742 M 53833 P 60560 40380 M M 1 2 3 4 6 16 1 12 489 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10336 1392 ( 32 , 60552 ) 30260 30292 M 4 10338 1392 ( 48 , 40368 ) 20160 20208 M 48 10337 10339 10340 10341 10342 10343 10344 10345 10346 10347 10348 10349 10350 10351 10352 10353 10354 10355 10356 10357 10358 1392 1392 1392 1392 1392 1392 1392 1392 1392 1392 1392 1392 1392 1392 1392 1392 1392 1392 1392 1392 1392 ( 36 , 53824 ) ( 58 , 33408 ) ( 64 , 30276 ) ( 72 , 26912 ) ( 96 , 20184 ) ( 116 , 16704 ) ( 128 , 15138 ) ( 144 , 13456 ) ( 174 , 11136 ) ( 192 , 10092 ) 26894 16675 15106 13420 10044 26930 M 16733 M 15170 13492 10140 4 M M 6656 6800 M 4950 2 M 8410 5481 29 M 8294 7505 2 7633 12 58 P 5655 1 16 M 5142 87 M 6 ( 232 , 8352 ) 4060 4292 M 116 ( 348 , 5568 ) 2610 2958 M 174 ( 288 , 6728 ) ( 384 , 5046 ) ( 464 , 4176 ) ( 522 , 3712 ) ( 576 , 3364 ) ( 696 , 2784 ) ( 928 , 2088 ) ( 1044 , 1856 ) ( 1152 , 1682 ) 3220 2331 1856 1595 1394 1044 580 406 265 3508 M 2715 M 2320 1450 464 M 1970 1508 3 M 2117 1740 4 29 M 2 M 348 M 1417 116 M P 58 4 27 1 31 _____________________________________________________________________________ 10359 10360 1393 1393 ( 1 , 1940449 ) ( 7 , 277207 ) 970224 138600 970225 138607 P M 1 7 490 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10361 10362 1393 1393 ( 49 , 39601 ) ( 199 , 9751 ) 19776 4776 19825 4975 M P 1 2 2 199 4 _____________________________________________________________________________ 10363 1394 ( 2 , 971618 ) 10365 1394 ( 82 , 23698 ) 10364 10366 1394 1394 485808 ( 34 , 57154 ) 28560 ( 578 , 3362 ) 1392 11808 485810 28594 11890 1970 M M M 34 M 0 4 2 2 82 4 _____________________________________________________________________________ 10367 1395 ( 1 , 1946025 ) 10369 1395 ( 5 , 389205 ) 10368 10370 10371 10372 10373 10374 10375 10376 10377 10378 10379 10380 10381 10382 10383 1395 1395 1395 1395 1395 1395 1395 1395 1395 1395 1395 1395 1395 1395 1395 973012 973013 P 1 ( 3 , 648675 ) 324336 324339 M 3 ( 9 , 216225 ) 108108 108117 M 9 ( 15 , 129735 ) 194600 64860 194605 M 64875 M ( 25 , 77841 ) 38908 38933 P ( 31 , 62775 ) 31372 31403 M ( 27 , 72075 ) ( 45 , 43245 ) ( 75 , 25947 ) ( 81 , 24025 ) ( 93 , 20925 ) ( 135 , 14415 ) ( 155 , 12555 ) 36024 21600 12936 11972 10416 7140 6200 36051 6355 31 45 M 12053 3 P M M M 1 93 15 155 ( 225 , 8649 ) 4212 4437 M 9 ( 405 , 4805 ) 2200 2605 M 5 ( 279 , 6975 ) 3348 3627 M 15 3 M 13011 7275 1 M 21645 10509 5 279 491 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10384 1395 ( 465 , 4185 ) 1860 10386 1395 ( 775 , 2511 ) 868 1643 M 532 1493 P 10385 10387 10388 1395 1395 1395 ( 675 , 2883 ) ( 837 , 2325 ) ( 961 , 2025 ) 1104 744 2325 1779 1581 M 465 M 3 31 M 93 1 4 18 22 _____________________________________________________________________________ 10389 1396 ( 2 , 974408 ) 487203 487205 P 1 10391 1396 ( 8 , 243602 ) 121797 121805 P 1 10390 10392 1396 1396 ( 4 , 487204 ) ( 698 , 2792 ) 243600 1047 243604 1745 M M 2 4 2 349 4 _____________________________________________________________________________ 10393 1397 ( 1 , 1951609 ) 10395 1397 ( 121 , 16129 ) 10394 10396 1397 1397 975804 ( 11 , 177419 ) 88704 ( 127 , 15367 ) 7620 8004 975805 88715 8125 P 7747 M P 1 11 1 M 2 2 127 4 _____________________________________________________________________________ 10397 1398 ( 2 , 977202 ) 488600 488602 10399 1398 ( 18 , 108578 ) 54280 54298 10398 10400 1398 1398 ( 6 , 325734 ) ( 466 , 4194 ) 162864 1864 M 162870 2330 2 M M 6 M 0 4 466 2 4 _____________________________________________________________________________ 10401 1399 ( 1 , 1957201 ) 978600 978601 1 P 0 1 1 492 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 10402 1400 ( 2 , 980000 ) 489999 490001 P 10404 1400 ( 8 , 245000 ) 122496 122504 M 10403 10405 10406 10407 10408 10409 10410 10411 10412 10413 10414 10415 10416 10417 10418 10419 10420 10421 10422 10423 10424 10425 10426 10427 1400 1400 1400 1400 1400 1400 1400 1400 1400 1400 1400 1400 1400 1400 1400 1400 1400 1400 1400 1400 1400 1400 1400 1400 ( 4 , 490000 ) ( 10 , 196000 ) ( 14 , 140000 ) ( 16 , 122500 ) 244998 97995 69993 61242 245002 M 5 61258 M 2 70007 M 49010 M ( 32 , 61250 ) 30609 30641 P ( 40 , 49000 ) ( 50 , 39200 ) ( 56 , 35000 ) ( 70 , 28000 ) ( 80 , 24500 ) ( 98 , 20000 ) ( 100 , 19600 ) ( 112 , 17500 ) ( 140 , 14000 ) ( 160 , 12250 ) ( 196 , 10000 ) 24480 19575 17472 13965 12210 9951 9750 8694 6930 6045 4902 8 M 48990 34986 2 98005 ( 20 , 98000 ) ( 28 , 70000 ) 1 35014 25 56 M M P 9850 M 7070 M 5098 40 M 14035 6205 1 M 17528 8806 14 M 19625 10049 10 M 24520 12290 7 M M M 35 1 10 50 14 70 5 2 ( 200 , 9800 ) 4800 5000 M 200 ( 250 , 7840 ) 3795 4045 M 5 ( 224 , 8750 ) ( 280 , 7000 ) ( 350 , 5600 ) ( 392 , 5000 ) 4263 3360 2625 2304 4487 3640 2975 2696 M M M M 7 280 175 8 493 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10428 1400 ( 400 , 4900 ) 2250 2650 M 50 10430 1400 ( 500 , 3920 ) 1710 2210 M 10 10429 10431 10432 10433 10434 10435 10436 10437 10438 1400 1400 1400 1400 1400 1400 1400 1400 1400 ( 490 , 4000 ) ( 560 , 3500 ) ( 700 , 2800 ) ( 784 , 2500 ) ( 800 , 2450 ) ( 980 , 2000 ) ( 1000 , 1960 ) ( 1120 , 1750 ) ( 1250 , 1568 ) 1755 1470 1050 2245 M 2030 1750 5 M 70 M 350 858 1642 M 2 510 1490 M 10 825 480 315 159 1625 1480 M 1435 1409 25 M 40 M P 35 4 33 1 37 _____________________________________________________________________________ 10439 1401 ( 1 , 1962801 ) 10441 1401 ( 9 , 218089 ) 10440 10442 1401 1401 981400 ( 3 , 654267 ) 327132 ( 467 , 4203 ) 1868 109040 981401 P 327135 109049 2335 M 1 M 3 P 2 2 467 1 4 _____________________________________________________________________________ 10443 1402 ( 2 , 982802 ) 491400 491402 0 M 1 1 2 _____________________________________________________________________________ 10444 1403 ( 1 , 1968409 ) 10446 1403 ( 61 , 32269 ) 10445 10447 1403 1403 984204 ( 23 , 85583 ) 42780 ( 529 , 3721 ) 1596 16104 984205 42803 16165 2125 P M P 23 M 2 2 1 61 4 1 494 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 10448 1404 ( 2 , 985608 ) 492803 492805 P 10450 1404 ( 6 , 328536 ) 164265 164271 M 10449 10451 10452 10453 10454 10455 10456 10457 10458 10459 10460 10461 10462 10463 10464 10465 10466 10467 10468 10469 10470 10471 10472 10473 1404 1404 1404 1404 1404 1404 1404 1404 1404 1404 1404 1404 1404 1404 1404 1404 1404 1404 1404 1404 1404 1404 1404 1404 ( 4 , 492804 ) ( 8 , 246402 ) ( 12 , 164268 ) ( 18 , 109512 ) 246400 123197 82128 54747 246404 1 M 123205 4 3 P 82140 1 M 54765 12 M 9 ( 24 , 82134 ) 41055 41079 M 3 ( 36 , 54756 ) 27360 27396 M 36 ( 26 , 75816 ) ( 52 , 37908 ) ( 54 , 36504 ) ( 72 , 27378 ) ( 78 , 25272 ) ( 104 , 18954 ) ( 108 , 18252 ) ( 156 , 12636 ) ( 162 , 12168 ) 37895 18928 18225 13653 12597 37921 M 18980 M 18279 52 M 13725 12675 13 27 M 9 M 39 9425 9529 M 13 6240 6396 M 156 9072 6003 9180 6165 M M 108 9 ( 216 , 9126 ) 4455 4671 M 27 ( 312 , 6318 ) 3003 3315 M 39 ( 234 , 8424 ) ( 324 , 6084 ) ( 338 , 5832 ) ( 468 , 4212 ) ( 486 , 4056 ) ( 648 , 3042 ) ( 676 , 2916 ) 4095 2880 2747 1872 1785 1197 1120 4329 3204 3085 2340 2271 1845 1796 M M P M M M M 117 36 1 468 3 9 4 495 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10474 1404 ( 702 , 2808 ) 1053 10476 1404 ( 972 , 2028 ) 528 10475 10477 10478 1404 1404 1404 ( 936 , 2106 ) ( 1014 , 1944 ) ( 1352 , 1458 ) 585 465 53 1755 1521 1500 1479 1405 M 351 M 117 M 12 M P 1 4 3 27 31 _____________________________________________________________________________ 10479 1405 ( 1 , 1974025 ) 10481 1405 ( 25 , 78961 ) 10480 10482 1405 1405 ( 5 , 394805 ) ( 281 , 7025 ) 987012 197400 39468 3372 987013 197405 39493 3653 M P P 1 M 2 5 1 2 281 4 _____________________________________________________________________________ 10483 1406 ( 2 , 988418 ) 10485 1406 ( 74 , 26714 ) 10484 10486 1406 1406 494208 ( 38 , 52022 ) 25992 ( 722 , 2738 ) 1008 13320 494210 26030 13394 1730 M M M 38 M 0 4 2 2 74 4 _____________________________________________________________________________ 10487 1407 ( 1 , 1979649 ) 10489 1407 ( 7 , 282807 ) 10488 10490 10491 10492 10493 10494 1407 1407 1407 1407 1407 1407 989824 989825 P ( 3 , 659883 ) 329940 329943 M ( 9 , 219961 ) 109976 109985 P 141400 141407 47124 47145 M ( 63 , 31423 ) 15680 15743 M ( 67 , 29547 ) 20176 14740 20225 14807 3 M ( 21 , 94269 ) ( 49 , 40401 ) 1 P M 7 1 21 1 7 67 496 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10495 1407 ( 147 , 13467 ) 10497 1407 ( 441 , 4489 ) 10496 10498 10499 1407 1407 1407 6660 6807 M ( 201 , 9849 ) 4824 5025 M ( 469 , 4221 ) 1876 2345 M ( 603 , 3283 ) 2024 1340 2465 3 201 P 1943 M 1 469 4 67 9 13 _____________________________________________________________________________ 10500 1408 ( 2 , 991232 ) 495615 495617 P 10502 1408 ( 8 , 247808 ) 123900 123908 M 10501 10503 10504 10505 10506 10507 10508 10509 10510 10511 10512 10513 10514 10515 10516 10517 10518 1408 1408 1408 1408 1408 1408 1408 1408 1408 1408 1408 1408 1408 1408 1408 1408 1408 ( 4 , 495616 ) ( 16 , 123904 ) 247806 61944 247810 1 M 61960 2 4 M 8 ( 22 , 90112 ) 45045 45067 M 11 ( 44 , 45056 ) 22506 22550 M 22 ( 32 , 61952 ) ( 64 , 30976 ) ( 88 , 22528 ) ( 128 , 15488 ) ( 176 , 11264 ) 30960 15456 11220 7680 5544 30992 M 15520 M 11308 4217 P ( 352 , 5632 ) 2640 2992 M ( 484 , 4096 ) ( 512 , 3872 ) ( 704 , 2816 ) ( 968 , 2048 ) ( 1024 , 1936 ) 1806 1680 1056 540 456 4000 2290 2192 1760 1508 1480 128 M 3975 3744 44 M ( 242 , 8192 ) ( 256 , 7744 ) 32 M 7808 5720 16 1 M 32 176 M 2 M 16 M 352 M M 88 4 2 17 8 19 497 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 10519 1409 ( 1 , 1985281 ) 992640 992641 P 1 0 1 1 _____________________________________________________________________________ 10520 1410 ( 2 , 994050 ) 497024 497026 10522 1410 ( 10 , 198810 ) 99400 99410 10521 10523 10524 10525 10526 10527 10528 10529 10530 10531 10532 1410 1410 1410 1410 1410 1410 1410 1410 1410 1410 1410 ( 6 , 331350 ) ( 18 , 110450 ) 165672 55216 M 165678 2 M 6 M 55234 10 M 2 ( 30 , 66270 ) 33120 33150 M 30 ( 90 , 22090 ) 11000 11090 M 10 ( 50 , 39762 ) ( 94 , 21150 ) ( 150 , 13254 ) 19856 10528 6552 19906 M 10622 2 M 6702 M 6 94 ( 282 , 7050 ) 3384 3666 M 282 ( 470 , 4230 ) 1880 2350 M 470 ( 450 , 4418 ) ( 846 , 2350 ) 1984 752 2434 1598 M M 2 94 0 13 13 _____________________________________________________________________________ 10533 1411 ( 1 , 1990921 ) 10535 1411 ( 83 , 23987 ) 10534 10536 1411 1411 ( 17 , 117113 ) ( 289 , 6889 ) 995460 58548 11952 3300 995461 58565 12035 3589 P M P 1 17 M 2 2 1 83 4 _____________________________________________________________________________ 10537 10538 1412 1412 ( 2 , 996872 ) ( 4 , 498436 ) 498435 249216 498437 249220 P M 1 4 498 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10539 10540 1412 1412 ( 8 , 249218 ) ( 706 , 2824 ) 124605 1059 124613 1765 M P 2 2 1 353 4 _____________________________________________________________________________ 10541 1413 ( 1 , 1996569 ) 10543 1413 ( 9 , 221841 ) 10542 10544 10545 10546 10547 1413 1413 1413 1413 1413 998284 998285 ( 3 , 665523 ) 332760 ( 27 , 73947 ) 36960 36987 ( 157 , 12717 ) 6280 6437 ( 81 , 24649 ) ( 471 , 4239 ) 110916 12284 1884 P 332763 M 110925 M 12365 2355 1 3 M 3 P 1 M M 9 157 2 5 471 7 _____________________________________________________________________________ 10548 1414 ( 2 , 999698 ) 499848 10550 1414 ( 98 , 20402 ) 10152 10549 10551 1414 1414 ( 14 , 142814 ) ( 202 , 9898 ) 71400 4848 499850 M 71414 10250 5050 2 M M M 2 0 4 14 202 4 _____________________________________________________________________________ 10552 1415 ( 1 , 2002225 ) 10554 1415 ( 25 , 80089 ) 10553 10555 1415 1415 ( 5 , 400445 ) ( 283 , 7075 ) 1001112 200220 40032 3396 1001113 200225 40057 3679 M P M 2 P 1 2 5 1 283 4 _____________________________________________________________________________ 10556 10557 1416 1416 ( 2 , 1002528 ) ( 4 , 501264 ) 501263 250630 501265 250634 P M 1 2 499 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10558 1416 ( 6 , 334176 ) 167085 167091 10560 1416 ( 12 , 167088 ) 83538 83550 M 55705 P 10559 10561 10562 10563 10564 10565 10566 10567 10568 10569 10570 10571 10572 10573 10574 10575 10576 10577 1416 1416 1416 1416 1416 1416 1416 1416 1416 1416 1416 1416 1416 1416 1416 1416 1416 1416 ( 8 , 250632 ) ( 16 , 125316 ) ( 18 , 111392 ) 125312 M 125320 62650 M 62666 55687 41760 41784 M ( 36 , 55696 ) 27830 27866 M ( 48 , 41772 ) ( 72 , 27848 ) ( 96 , 20886 ) ( 118 , 16992 ) ( 144 , 13924 ) 31313 31345 20862 7034 4366 M ( 354 , 5664 ) 2655 3009 M ( 472 , 4248 ) ( 708 , 2832 ) ( 944 , 2124 ) ( 1062 , 1888 ) 3625 1888 1062 590 413 2 6 8 3 59 M 4130 3337 1 M ( 236 , 8496 ) ( 288 , 6962 ) 24 M 8555 6890 1 M 10491 8437 2 M 13960 10395 6 P 20910 13888 8 M ( 24 , 83544 ) ( 32 , 62658 ) 3 2 118 P 2360 1 177 M 1770 472 M 1534 354 M 1475 M 118 4 18 59 22 _____________________________________________________________________________ 10578 1417 ( 1 , 2007889 ) 10580 1417 ( 109 , 18421 ) 10579 10581 1417 1417 1003944 ( 13 , 154453 ) 77220 ( 169 , 11881 ) 5856 9156 1003945 77233 9265 6025 M P M 2 P 13 109 2 1 4 1 500 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 10582 1418 ( 2 , 1005362 ) 502680 502682 M 0 1 2 1 _____________________________________________________________________________ 10583 1419 ( 1 , 2013561 ) 10585 1419 ( 9 , 223729 ) 10584 10586 10587 10588 10589 10590 10591 10592 10593 10594 10595 1419 1419 1419 1419 1419 1419 1419 1419 1419 1419 1419 1006780 1006781 ( 3 , 671187 ) 335592 335595 ( 11 , 183051 ) 91520 91531 111860 M 111869 P 3 P 1 M 11 ( 33 , 61017 ) 30492 30525 M 33 ( 99 , 20339 ) 10120 10219 M 11 ( 43 , 46827 ) ( 121 , 16641 ) ( 129 , 15609 ) 23392 8260 7740 23435 M 8381 7869 43 P 1 M 129 ( 363 , 5547 ) 2592 2955 M 3 ( 473 , 4257 ) 1892 2365 M 473 ( 387 , 5203 ) ( 1089 , 1849 ) 2408 380 2795 1469 M P 1 43 4 9 1 13 _____________________________________________________________________________ 10596 1420 ( 2 , 1008200 ) 10598 1420 ( 8 , 252050 ) 10597 10599 10600 10601 10602 10603 1420 1420 1420 1420 1420 1420 ( 4 , 504100 ) ( 10 , 201640 ) ( 20 , 100820 ) ( 40 , 50410 ) ( 50 , 40328 ) ( 100 , 20164 ) 504099 252048 126021 100815 50400 25185 20139 10032 504101 P 252052 M 126029 100825 50420 25225 20189 10132 1 4 P M M P M 1 M 5 1 5 20 4 501 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10604 1420 ( 142 , 14200 ) 10606 1420 ( 284 , 7100 ) 3408 3692 M 284 ( 710 , 2840 ) 1065 1775 M 355 10605 10607 10608 1420 1420 1420 ( 200 , 10082 ) ( 568 , 3550 ) 7029 7171 4941 M 5141 1491 71 P 2059 1 M 71 4 9 13 _____________________________________________________________________________ 10609 1421 ( 1 , 2019241 ) 10611 1421 ( 29 , 69629 ) 34800 ( 203 , 9947 ) 4872 10610 10612 10613 10614 10615 1421 1421 1421 1421 1421 ( 7 , 288463 ) ( 49 , 41209 ) ( 343 , 5887 ) ( 841 , 2401 ) 1009620 144228 780 144235 34829 20580 2772 1009621 20629 5075 3115 M M M P 29 M 49 203 M 1621 P 7 1 2 5 1 7 7 _____________________________________________________________________________ 10616 1422 ( 2 , 1011042 ) 10618 1422 ( 18 , 112338 ) 10617 10619 10620 10621 10622 1422 1422 1422 1422 1422 505520 ( 6 , 337014 ) 168504 ( 54 , 37446 ) 18696 ( 162 , 12482 ) 6160 ( 158 , 12798 ) ( 474 , 4266 ) 56160 6320 1896 505522 M 168510 M 56178 18750 6478 6322 2370 2 6 M M 6 M 158 M M 0 18 2 7 474 7 _____________________________________________________________________________ 10623 1423 ( 1 , 2024929 ) 1012464 1012465 1 P 0 1 1 502 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 10624 1424 ( 2 , 1013888 ) 10626 1424 ( 8 , 253472 ) 10625 10627 10628 10629 10630 10631 10632 10633 1424 1424 1424 1424 1424 1424 1424 1424 506943 506945 ( 4 , 506944 ) 253470 253474 ( 16 , 126736 ) 63360 63376 126732 31668 31700 ( 128 , 15842 ) 7857 7985 ( 178 , 11392 ) ( 356 , 5696 ) ( 712 , 2848 ) 15810 5607 2670 1068 15874 5785 3026 1780 1 M 126740 ( 32 , 63368 ) ( 64 , 31684 ) P 2 M 4 M M 4 M P 1 M 2 89 M M 16 178 2 8 356 10 _____________________________________________________________________________ 10634 1425 ( 1 , 2030625 ) 10636 1425 ( 5 , 406125 ) 10635 10637 10638 10639 10640 10641 10642 10643 10644 10645 10646 10647 1425 1425 1425 1425 1425 1425 1425 1425 1425 1425 1425 1425 1015312 1015313 ( 3 , 676875 ) 338436 338439 M ( 9 , 225625 ) 112808 112817 P ( 15 , 135375 ) ( 19 , 106875 ) 203060 67680 53428 203065 P 3 M 67695 5 1 M 53447 15 M 19 ( 25 , 81225 ) 40600 40625 M 25 ( 57 , 35625 ) 17784 17841 M 57 ( 45 , 45125 ) ( 75 , 27075 ) ( 95 , 21375 ) ( 125 , 16245 ) ( 171 , 11875 ) ( 225 , 9025 ) 22540 13500 10640 8060 5852 4400 22585 M 13575 10735 8185 6023 4625 5 M M M M M 75 5 95 19 25 1 503 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10648 1425 ( 285 , 7125 ) 3420 3705 M 10650 1425 ( 375 , 5415 ) 2520 2895 M 10649 10651 10652 10653 10654 10655 1425 1425 1425 1425 1425 1425 ( 361 , 5625 ) ( 475 , 4275 ) ( 625 , 3249 ) ( 855 , 2375 ) ( 1083 , 1875 ) ( 1125 , 1805 ) 2632 2993 1900 1312 760 396 P 2375 1 15 M 1937 475 P 1615 340 285 1 M 1479 95 M 1465 3 M 4 18 5 22 _____________________________________________________________________________ 10656 1426 ( 2 , 1016738 ) 10658 1426 ( 62 , 32798 ) 10657 10659 1426 1426 508368 ( 46 , 44206 ) 22080 ( 1058 , 1922 ) 432 16368 508370 22126 16430 1490 M M M 46 M 0 2 4 2 62 4 _____________________________________________________________________________ 10660 1427 ( 1 , 2036329 ) 1018164 1018165 P 1 0 1 1 _____________________________________________________________________________ 10661 1428 ( 2 , 1019592 ) 10663 1428 ( 6 , 339864 ) 10662 10664 10665 10666 10667 10668 1428 1428 1428 1428 1428 1428 509795 509797 P ( 4 , 509796 ) 254896 254900 M ( 8 , 254898 ) 127445 127453 P ( 12 , 169932 ) ( 14 , 145656 ) ( 18 , 113288 ) ( 24 , 84966 ) 169929 84960 72821 56635 42471 169935 M 56653 P 42495 4 M 84972 72835 1 M M 3 1 12 7 1 3 504 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10669 1428 ( 28 , 72828 ) 36400 36428 M 28 10671 1428 ( 36 , 56644 ) 28304 28340 M 4 10670 10672 10673 10674 10675 10676 10677 10678 10679 10680 10681 10682 10683 10684 10685 10686 10687 10688 10689 10690 10691 10692 10693 10694 10695 1428 1428 1428 1428 1428 1428 1428 1428 1428 1428 1428 1428 1428 1428 1428 1428 1428 1428 1428 1428 1428 1428 1428 1428 1428 ( 34 , 59976 ) ( 42 , 48552 ) ( 56 , 36414 ) ( 68 , 29988 ) ( 72 , 28322 ) ( 84 , 24276 ) ( 98 , 20808 ) ( 102 , 19992 ) ( 126 , 16184 ) ( 136 , 14994 ) ( 168 , 12138 ) ( 196 , 10404 ) 29971 24255 18179 14960 14125 12096 10355 30005 24297 7 M 14197 68 P 1 P 1 8155 M 7 6153 M 21 12180 M 10453 7429 7565 5104 21 M 15028 10047 5985 17 M 18235 9945 8029 M 5300 84 M M M 51 17 4 ( 204 , 9996 ) 4896 5100 M 204 ( 252 , 8092 ) 3920 4172 M 28 ( 238 , 8568 ) ( 294 , 6936 ) ( 306 , 6664 ) ( 392 , 5202 ) ( 408 , 4998 ) ( 476 , 4284 ) ( 504 , 4046 ) ( 578 , 3528 ) ( 588 , 3468 ) ( 612 , 3332 ) ( 714 , 2856 ) 4165 3321 3179 2405 2295 1904 1771 1475 1440 1360 1071 4403 3615 3485 2797 2703 2380 2275 2053 2028 1972 1785 M M M P M M M P M M M 119 3 17 1 51 476 7 1 12 68 357 505 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10696 1428 ( 882 , 2312 ) 10698 1428 ( 1156 , 1764 ) 10697 10699 10700 1428 1428 1428 ( 952 , 2142 ) ( 1176 , 1734 ) ( 1224 , 1666 ) 715 595 304 1597 P 1547 279 221 1 M 1460 119 M 1455 4 M 1445 3 M 8 32 17 40 _____________________________________________________________________________ 10701 1429 ( 1 , 2042041 ) 1021020 1021021 P 1 0 1 1 _____________________________________________________________________________ 10702 1430 ( 2 , 1022450 ) 10704 1430 ( 22 , 92950 ) 46464 46486 M ( 50 , 40898 ) 20424 20474 M 10703 10705 10706 10707 10708 10709 10710 10711 10712 10713 10714 1430 1430 1430 1430 1430 1430 1430 1430 1430 1430 1430 ( 10 , 204490 ) ( 26 , 78650 ) ( 110 , 18590 ) ( 130 , 15730 ) 511224 102240 39312 9240 7800 511226 M 102250 39338 9350 7930 2 M 22 M 26 2 M 110 M 130 ( 242 , 8450 ) 4104 4346 M 2 ( 338 , 6050 ) 2856 3194 M 2 ( 286 , 7150 ) ( 550 , 3718 ) ( 650 , 3146 ) ( 1210 , 1690 ) 3432 1584 1248 240 3718 M 2134 286 M 1898 22 M 1450 M 10 26 0 13 10 13 _____________________________________________________________________________ 10715 10716 1431 1431 ( 1 , 2047761 ) ( 3 , 682587 ) 1023880 341292 1023881 341295 M P 3 1 506 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10717 1431 ( 9 , 227529 ) 10719 1431 ( 53 , 38637 ) 10718 10720 10721 10722 10723 10724 1431 1431 1431 1431 1431 1431 113760 113769 ( 27 , 75843 ) 37908 37935 M ( 81 , 25281 ) 12600 12681 M ( 159 , 12879 ) 19292 6360 19345 6519 4335 M ( 729 , 2809 ) 1040 1769 P 2385 9 53 9 M 4092 1908 27 M ( 243 , 8427 ) ( 477 , 4293 ) M 159 3 M 477 2 8 1 10 _____________________________________________________________________________ 10725 1432 ( 2 , 1025312 ) 10727 1432 ( 8 , 256328 ) 10726 10728 10729 10730 10731 1432 1432 1432 1432 1432 512655 512657 ( 4 , 512656 ) 256326 256330 ( 16 , 128164 ) 64074 64090 128160 ( 32 , 64082 ) 32025 ( 716 , 2864 ) 1074 ( 358 , 5728 ) 2685 P M 128168 32057 3043 1790 1 2 M 8 M M P M 1 2 179 2 5 358 7 _____________________________________________________________________________ 10732 1433 ( 1 , 2053489 ) 1026744 1026745 P 1 0 1 1 _____________________________________________________________________________ 10733 1434 ( 2 , 1028178 ) 10735 1434 ( 18 , 114242 ) 10734 10736 1434 1434 514088 ( 6 , 342726 ) 171360 ( 478 , 4302 ) 1912 57112 514090 171366 57130 2390 M M 2 M 6 M 0 4 478 2 4 507 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 10737 1435 ( 1 , 2059225 ) 10739 1435 ( 7 , 294175 ) 10738 10740 10741 10742 10743 10744 10745 10746 10747 10748 10749 1435 1435 1435 1435 1435 1435 1435 1435 1435 1435 1435 1029612 1029613 ( 5 , 411845 ) 205920 ( 25 , 82369 ) 41172 41197 P ( 41 , 50225 ) 25092 25133 M ( 35 , 58835 ) ( 49 , 42025 ) ( 175 , 11767 ) ( 205 , 10045 ) 147084 29400 20988 5796 4920 205925 147091 29435 5 M 35 41 P 5971 1 M 7 M 205 ( 245 , 8405 ) 4080 4325 M 5 ( 1025 , 2009 ) 492 1517 M 41 ( 287 , 7175 ) ( 1225 , 1681 ) 3444 228 3731 M 1453 P 1 7 1 M 21037 5125 M P 287 4 9 1 13 _____________________________________________________________________________ 10750 1436 ( 2 , 1031048 ) 10752 1436 ( 8 , 257762 ) 10751 10753 1436 1436 515523 ( 4 , 515524 ) 257760 ( 718 , 2872 ) 1077 128877 515525 P 257764 128885 1795 M 1 M 4 P 2 2 359 1 4 _____________________________________________________________________________ 10754 1437 ( 1 , 2064969 ) 10756 1437 ( 9 , 229441 ) 10755 10757 1437 1437 1032484 ( 3 , 688323 ) 344160 ( 479 , 4311 ) 1916 114716 1032485 344163 114725 2395 M M P P 2 2 3 479 4 1 1 508 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 10758 1438 ( 2 , 1033922 ) 516960 516962 M 0 1 2 1 _____________________________________________________________________________ 10759 1439 ( 1 , 2070721 ) 1035360 1035361 P 1 0 1 1 _____________________________________________________________________________ 10760 1440 ( 2 , 1036800 ) 10762 1440 ( 6 , 345600 ) 10761 10763 10764 10765 10766 10767 10768 10769 10770 10771 10772 10773 10774 10775 10776 10777 10778 10779 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 518399 518401 P 1 ( 4 , 518400 ) 259198 259202 M 2 ( 8 , 259200 ) 129596 129604 M 4 ( 10 , 207360 ) ( 12 , 172800 ) ( 16 , 129600 ) ( 18 , 115200 ) ( 20 , 103680 ) 172797 103675 172803 103685 M 86394 86406 M 57591 57609 M 64792 51830 64808 51850 3 M 6 M M 8 9 10 ( 24 , 86400 ) 43188 43212 M 12 ( 32 , 64800 ) 32384 32416 M 32 ( 30 , 69120 ) ( 36 , 57600 ) ( 40 , 51840 ) ( 48 , 43200 ) ( 50 , 41472 ) ( 54 , 38400 ) ( 60 , 34560 ) ( 64 , 32400 ) ( 72 , 28800 ) 34545 28782 25900 21576 20711 19173 17250 16168 14364 34575 28818 25940 21624 20761 19227 17310 16232 14436 M M M M P M M M M 5 15 18 20 24 1 3 30 8 36 509 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10780 1440 ( 80 , 25920 ) 12920 13000 M 40 10782 1440 ( 96 , 21600 ) 10752 10848 M 96 10781 10783 10784 10785 10786 10787 10788 10789 10790 10791 10792 10793 10794 10795 10796 10797 10798 10799 10800 10801 10802 10803 10804 10805 10806 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 ( 90 , 23040 ) ( 100 , 20736 ) ( 108 , 19200 ) ( 120 , 17280 ) ( 128 , 16200 ) ( 144 , 14400 ) ( 150 , 13824 ) ( 160 , 12960 ) ( 162 , 12800 ) ( 180 , 11520 ) ( 192 , 10800 ) ( 200 , 10368 ) 11475 10318 11565 10418 M 9546 9654 M 8036 8164 M 8580 7128 6837 6400 6319 5670 5304 5084 8700 7272 6987 6560 6481 5850 5496 5284 M M M M P M M M M 45 6 60 4 72 3 160 1 90 24 4 ( 216 , 9600 ) 4692 4908 M 12 ( 256 , 8100 ) 3922 4178 M 2 ( 240 , 8640 ) ( 270 , 7680 ) ( 288 , 7200 ) ( 300 , 6912 ) ( 320 , 6480 ) ( 324 , 6400 ) ( 360 , 5760 ) ( 384 , 5400 ) ( 400 , 5184 ) ( 432 , 4800 ) ( 450 , 4608 ) 4200 3705 3456 3306 3080 3038 2700 2508 2392 2184 2079 4440 3975 3744 3606 3400 3362 3060 2892 2792 2616 2529 M M M M M M M M M M M 2 120 15 288 6 40 2 180 12 8 24 9 510 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10807 1440 ( 480 , 4320 ) 1920 2400 M 10809 1440 ( 540 , 3840 ) 1650 2190 M 10808 10810 10811 10812 10813 10814 10815 10816 10817 10818 10819 10820 10821 10822 10823 10824 10825 10826 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 1440 ( 512 , 4050 ) ( 576 , 3600 ) ( 600 , 3456 ) ( 640 , 3240 ) ( 648 , 3200 ) ( 720 , 2880 ) ( 768 , 2700 ) ( 800 , 2592 ) ( 810 , 2560 ) ( 864 , 2400 ) ( 900 , 2304 ) ( 960 , 2160 ) ( 1080 , 1920 ) ( 1152 , 1800 ) ( 1200 , 1728 ) ( 1280 , 1620 ) ( 1296 , 1600 ) ( 1350 , 1536 ) 1769 2281 1512 30 72 M 1940 1276 1 M 2028 1300 1080 P 2088 1428 480 12 M 1924 20 M 1800 4 M 360 966 1734 M 6 875 1685 M 5 896 768 702 600 420 1696 1632 93 18 M 1500 120 M 1476 60 M 1464 170 96 M 1560 264 32 M 1602 324 152 M 36 M 1450 24 M 1448 10 M 1443 M 8 4 3 63 67 _____________________________________________________________________________ 10827 1441 ( 1 , 2076481 ) 10829 1441 ( 121 , 17161 ) 10828 10830 1441 1441 1038240 ( 11 , 188771 ) 94380 ( 131 , 15851 ) 7860 8520 1038241 94391 8641 7991 P M M 2 P 1 2 11 131 4 1 511 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 10831 1442 ( 2 , 1039682 ) 10833 1442 ( 98 , 21218 ) 10832 10834 1442 1442 ( 14 , 148526 ) ( 206 , 10094 ) 519840 519842 74256 74270 10560 10658 4944 M M 2 M 5150 2 M 0 14 206 4 4 _____________________________________________________________________________ 10835 1443 ( 1 , 2082249 ) 10837 1443 ( 9 , 231361 ) 10836 10838 10839 10840 10841 10842 10843 10844 10845 10846 10847 1443 1443 1443 1443 1443 1443 1443 1443 1443 1443 1443 1041124 1041125 ( 3 , 694083 ) 347040 347043 ( 13 , 160173 ) 80080 80093 115676 M 115685 28157 ( 111 , 18759 ) 9324 9435 M 6076 6245 P ( 117 , 17797 ) ( 169 , 12321 ) 8840 13 M 26715 37 M 8957 39 111 M 13 1 ( 333 , 6253 ) 2960 3293 M 37 ( 507 , 4107 ) 1800 2307 M 3 ( 481 , 4329 ) ( 1369 , 1521 ) 1924 76 2405 1445 M P 1 1 M 28120 26676 3 P ( 37 , 56277 ) ( 39 , 53391 ) P 481 4 9 1 13 _____________________________________________________________________________ 10848 1444 ( 2 , 1042568 ) 10850 1444 ( 8 , 260642 ) 10849 10851 10852 1444 1444 1444 521283 ( 4 , 521284 ) 260640 ( 38 , 54872 ) 27417 ( 76 , 27436 ) 130317 13680 521285 P 260644 130325 27455 13756 M M M P 1 4 1 19 76 512 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10853 10854 1444 1444 ( 152 , 13718 ) ( 722 , 2888 ) 6783 1083 6935 1805 M M 19 2 5 361 7 _____________________________________________________________________________ 10855 1445 ( 1 , 2088025 ) 10857 1445 ( 17 , 122825 ) 10856 10858 10859 10860 10861 1445 1445 1445 1445 1445 1044012 ( 5 , 417605 ) 208800 ( 25 , 83521 ) 41748 ( 289 , 7225 ) 3468 ( 85 , 24565 ) ( 425 , 4913 ) 61404 12240 2244 1044013 208805 61421 M 41773 12325 3757 2669 M P P M 1 M M 5 1 17 85 289 2 5 17 7 _____________________________________________________________________________ 10862 1446 ( 2 , 1045458 ) 10864 1446 ( 18 , 116162 ) 10863 10865 1446 1446 522728 ( 6 , 348486 ) 174240 ( 482 , 4338 ) 1928 58072 522730 M 174246 58090 2410 2 M 6 M M 0 4 482 2 4 _____________________________________________________________________________ 10866 1447 ( 1 , 2093809 ) 1046904 1046905 P 1 0 1 1 _____________________________________________________________________________ 10867 1448 ( 2 , 1048352 ) 10869 1448 ( 8 , 262088 ) 10868 10870 10871 1448 1448 1448 524175 524177 ( 4 , 524176 ) 262086 262090 ( 16 , 131044 ) 65514 65530 ( 32 , 65522 ) 131040 32745 131048 32777 P 1 M 2 M M P 8 1 2 513 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10872 10873 1448 1448 ( 362 , 5792 ) ( 724 , 2896 ) 2715 1086 3077 M 1810 M 181 2 5 362 7 _____________________________________________________________________________ 10874 1449 ( 1 , 2099601 ) 10876 1449 ( 7 , 299943 ) 10875 10877 10878 10879 10880 10881 10882 10883 10884 10885 10886 10887 10888 10889 10890 10891 10892 10893 10894 10895 1449 1449 1449 1449 1449 1449 1449 1449 1449 1449 1449 1449 1449 1449 1449 1449 1449 1449 1449 1449 1049800 1049801 ( 3 , 699867 ) 349932 349935 M ( 9 , 233289 ) 116640 116649 M 149968 149975 49980 50001 M ( 27 , 77763 ) 38868 38895 M ( 49 , 42849 ) ( 63 , 33327 ) ( 69 , 30429 ) ( 81 , 25921 ) ( 147 , 14283 ) ( 161 , 13041 ) ( 189 , 11109 ) ( 207 , 10143 ) 45632 21400 16632 15180 12920 45655 16695 15249 69 1 7215 M 3 5460 5649 M 21 4968 6601 5175 M 1720 2249 P 1932 1568 1380 368 132 2415 2135 2001 1495 1455 161 M ( 529 , 3969 ) ( 1323 , 1587 ) 63 P M ( 1127 , 1863 ) 1 M 2601 ( 621 , 3381 ) 3 7068 6440 207 9 M 483 1 M 7 M 69 M M 9 23 M 2160 ( 567 , 3703 ) 21 P ( 441 , 4761 ) ( 483 , 4347 ) 7 M 21449 13001 3 M ( 21 , 99981 ) ( 23 , 91287 ) P 23 4 18 3 22 1 514 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 10896 1450 ( 2 , 1051250 ) 10898 1450 ( 50 , 42050 ) 21000 ( 250 , 8410 ) 4080 4330 M 216 1466 M 10897 10899 10900 10901 10902 1450 1450 1450 1450 1450 ( 10 , 210250 ) ( 58 , 36250 ) ( 290 , 7250 ) ( 1250 , 1682 ) 525624 105120 18096 3480 525626 M 105130 21050 18154 3770 2 M M 10 50 M 10 M 58 290 0 7 2 7 _____________________________________________________________________________ 10903 1451 ( 1 , 2105401 ) 1052700 1052701 P 1 0 1 1 _____________________________________________________________________________ 10904 1452 ( 2 , 1054152 ) 10906 1452 ( 6 , 351384 ) 10905 10907 10908 10909 10910 10911 10912 10913 10914 10915 10916 10917 1452 1452 1452 1452 1452 1452 1452 1452 1452 1452 1452 1452 527075 527077 P ( 4 , 527076 ) 263536 263540 M ( 8 , 263538 ) 131765 131773 P ( 12 , 175692 ) ( 18 , 117128 ) 175689 87840 58555 175695 4 M 87852 58573 1 3 1 M P 12 1 ( 22 , 95832 ) 47905 47927 M 11 ( 36 , 58564 ) 29264 29300 M 4 ( 24 , 87846 ) ( 44 , 47916 ) ( 66 , 31944 ) ( 72 , 29282 ) ( 88 , 23958 ) ( 132 , 15972 ) 43911 23936 15939 14605 11935 7920 43935 23980 16005 14677 12023 8052 M M M P M M 3 44 33 1 11 132 515 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10918 1452 ( 198 , 10648 ) 10920 1452 ( 264 , 7986 ) 10919 10921 10922 10923 10924 10925 1452 1452 1452 1452 1452 1452 5225 5423 M 11 ( 242 , 8712 ) 4235 4477 M 121 ( 396 , 5324 ) 2464 2860 M 44 ( 484 , 4356 ) ( 726 , 2904 ) ( 792 , 2662 ) ( 968 , 2178 ) 3861 4125 1936 1089 935 605 M 2420 33 M 1815 484 M 1727 363 M 1573 11 M 121 4 18 22 _____________________________________________________________________________ 10926 1453 ( 1 , 2111209 ) 1055604 1055605 P 1 0 1 1 _____________________________________________________________________________ 10927 1454 ( 2 , 1057058 ) 528528 528530 M 0 1 2 1 _____________________________________________________________________________ 10928 1455 ( 1 , 2117025 ) 10930 1455 ( 5 , 423405 ) 10929 10931 10932 10933 10934 10935 10936 10937 10938 1455 1455 1455 1455 1455 1455 1455 1455 1455 1058512 1058513 ( 3 , 705675 ) 352836 352839 M ( 9 , 235225 ) 117608 117617 P ( 15 , 141135 ) 211700 70560 211705 70575 42353 P ( 75 , 28227 ) 14076 14151 M ( 97 , 21825 ) ( 225 , 9409 ) ( 291 , 7275 ) 10864 4592 3492 23545 10961 4817 3783 5 1 M 42328 23500 3 M ( 25 , 84681 ) ( 45 , 47045 ) P 1 M P M M 15 5 3 1 97 291 1 516 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10939 10940 1455 1455 ( 485 , 4365 ) ( 873 , 2425 ) 1940 776 2425 1649 M M 485 4 9 97 13 _____________________________________________________________________________ 10941 1456 ( 2 , 1059968 ) 10943 1456 ( 8 , 264992 ) 10942 10944 10945 10946 10947 10948 10949 10950 10951 10952 10953 10954 10955 10956 10957 10958 10959 10960 10961 10962 10963 1456 1456 1456 1456 1456 1456 1456 1456 1456 1456 1456 1456 1456 1456 1456 1456 1456 1456 1456 1456 1456 529983 529985 ( 4 , 529984 ) 264990 264994 ( 14 , 151424 ) 75705 75719 ( 16 , 132496 ) 132492 66240 P 1 M 132500 2 M 4 M 66256 7 M 16 ( 26 , 81536 ) 40755 40781 M 13 ( 32 , 66248 ) 33108 33140 M 4 ( 28 , 75712 ) ( 52 , 40768 ) ( 56 , 37856 ) ( 64 , 33124 ) ( 98 , 21632 ) ( 104 , 20384 ) ( 112 , 18928 ) ( 128 , 16562 ) ( 182 , 11648 ) ( 196 , 10816 ) ( 208 , 10192 ) 37842 20358 18900 16530 10767 10140 37870 M 20410 M 18956 10865 M 5733 5915 M 5310 4992 5506 5200 P M 4620 4844 M ( 364 , 5824 ) 2730 3094 M ( 392 , 5408 ) ( 416 , 5096 ) 2967 2508 2340 3305 2900 2756 1 M P M M 52 112 1 91 M ( 224 , 9464 ) ( 338 , 6272 ) 2 P 9520 8345 28 M 9408 8217 26 M 16594 10244 14 2 208 28 1 182 4 52 517 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10964 1456 ( 448 , 4732 ) 2142 2590 M 14 10966 1456 ( 728 , 2912 ) 1092 1820 M 364 10965 10967 10968 10969 10970 10971 1456 1456 1456 1456 1456 1456 ( 676 , 3136 ) ( 784 , 2704 ) ( 832 , 2548 ) ( 896 , 2366 ) ( 1274 , 1664 ) ( 1352 , 1568 ) 1230 1906 M 2 960 1744 M 16 735 1631 M 7 858 195 1690 M 1469 108 26 M 1460 13 M 4 27 4 31 _____________________________________________________________________________ 10972 1457 ( 1 , 2122849 ) 10974 1457 ( 47 , 45167 ) 10973 10975 1457 1457 1061424 ( 31 , 68479 ) 34224 ( 961 , 2209 ) 624 22560 1061425 34255 22607 1585 P M M P 2 2 1 31 1 47 4 _____________________________________________________________________________ 10976 1458 ( 2 , 1062882 ) 10978 1458 ( 18 , 118098 ) 10977 10979 10980 10981 1458 1458 1458 1458 531440 ( 6 , 354294 ) 177144 ( 54 , 39366 ) 19656 ( 486 , 4374 ) 1944 ( 162 , 13122 ) 59040 6480 531442 M 177150 M 59058 19710 6642 2430 2 6 M 18 M 54 M M 0 162 6 486 6 _____________________________________________________________________________ 10982 1459 ( 1 , 2128681 ) 1064340 1064341 1 P 0 1 1 _____________________________________________________________________________ 518 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 10983 1460 ( 2 , 1065800 ) 10985 1460 ( 8 , 266450 ) 10984 10986 10987 10988 10989 10990 10991 10992 10993 10994 10995 1460 1460 1460 1460 1460 1460 1460 1460 1460 1460 1460 ( 4 , 532900 ) ( 10 , 213160 ) ( 20 , 106580 ) ( 40 , 53290 ) ( 50 , 42632 ) ( 100 , 21316 ) ( 146 , 14600 ) ( 200 , 10658 ) 532899 266448 133221 106575 53280 26625 21291 10608 7227 5229 532901 P 266452 M 133229 4 P 106585 53300 M 26665 1 M M 21341 5 P 10708 7373 5429 1 M 1 M 73 P 3504 3796 M 292 ( 730 , 2920 ) 1095 1825 M 365 1533 2117 20 4 1 ( 292 , 7300 ) ( 584 , 3650 ) 5 M 73 4 9 13 _____________________________________________________________________________ 10996 1461 ( 1 , 2134521 ) 10998 1461 ( 9 , 237169 ) 10997 10999 1461 1461 1067260 ( 3 , 711507 ) 355752 ( 487 , 4383 ) 1948 118580 1067261 355755 118589 2435 M M P P 2 2 3 487 1 1 4 _____________________________________________________________________________ 11000 1462 ( 2 , 1068722 ) 11002 1462 ( 86 , 24854 ) 11001 11003 1462 1462 534360 ( 34 , 62866 ) 31416 ( 578 , 3698 ) 1560 12384 534362 31450 12470 2138 M M M 34 M 0 4 2 2 86 4 _____________________________________________________________________________ 519 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11004 1463 ( 1 , 2140369 ) 11006 1463 ( 11 , 194579 ) 11005 11007 11008 11009 11010 11011 11012 11013 11014 11015 11016 1463 1463 1463 1463 1463 1463 1463 1463 1463 1463 1463 1070184 1070185 ( 7 , 305767 ) 152880 152887 ( 19 , 112651 ) 56316 56335 97284 M 97295 21865 ( 121 , 17689 ) 8784 8905 P 5016 5225 M ( 133 , 16093 ) ( 209 , 10241 ) 7980 ( 361 , 5929 ) 2784 ( 847 , 2527 ) 840 ( 539 , 3971 ) ( 931 , 2299 ) 1716 684 P 13937 2255 1687 1615 133 P 1 M 7 M M 77 1 M 3145 19 1 M 8113 1 11 M 21816 13860 7 M ( 49 , 43681 ) ( 77 , 27797 ) P 209 11 4 9 19 13 _____________________________________________________________________________ 11017 1464 ( 2 , 1071648 ) 11019 1464 ( 6 , 357216 ) 11018 11020 11021 11022 11023 11024 11025 11026 11027 11028 1464 1464 1464 1464 1464 1464 1464 1464 1464 1464 535823 535825 P 1 ( 4 , 535824 ) 267910 267914 M 2 ( 8 , 267912 ) 133952 133960 M 8 ( 12 , 178608 ) ( 16 , 133956 ) ( 18 , 119072 ) 178605 89298 66970 59527 178611 M 89310 M 59545 P 66986 44640 44664 M ( 36 , 59536 ) 29750 29786 M ( 48 , 44652 ) ( 72 , 29768 ) 33473 22302 14848 33505 22350 14920 6 M ( 24 , 89304 ) ( 32 , 66978 ) 3 P M M 2 1 24 1 2 6 8 520 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11029 1464 ( 96 , 22326 ) 11115 11031 1464 ( 144 , 14884 ) 7370 11030 11032 11033 11034 11035 11036 11037 11038 1464 1464 1464 1464 1464 1464 1464 1464 ( 122 , 17568 ) 11211 8723 M 8845 M 7514 4270 4514 M ( 366 , 5856 ) 2745 3111 M ( 488 , 4392 ) ( 732 , 2928 ) ( 976 , 2196 ) ( 1098 , 1952 ) 3577 3865 1952 1098 610 427 61 M ( 244 , 8784 ) ( 288 , 7442 ) 3 2 122 P 2440 1 183 M 1830 488 M 1586 366 M 1525 122 M 4 18 61 22 _____________________________________________________________________________ 11039 1465 ( 1 , 2146225 ) 11041 1465 ( 25 , 85849 ) 11040 11042 1465 1465 ( 5 , 429245 ) ( 293 , 7325 ) 1073112 214620 42912 3516 1073113 214625 42937 3809 M P M 2 P 1 2 5 1 293 4 _____________________________________________________________________________ 11043 1466 ( 2 , 1074578 ) 537288 537290 0 M 1 1 2 _____________________________________________________________________________ 11044 1467 ( 1 , 2152089 ) 11046 1467 ( 9 , 239121 ) 11045 11047 11048 11049 1467 1467 1467 1467 1076044 1076045 ( 3 , 717363 ) 358680 ( 27 , 79707 ) 39840 39867 ( 163 , 13203 ) 6520 6683 ( 81 , 26569 ) 119556 13244 358683 119565 13325 M P M M M P 3 3 1 163 9 1 521 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11050 1467 ( 489 , 4401 ) 1956 2445 M 2 5 489 7 _____________________________________________________________________________ 11051 1468 ( 2 , 1077512 ) 11053 1468 ( 8 , 269378 ) 11052 11054 1468 1468 538755 ( 4 , 538756 ) 269376 ( 734 , 2936 ) 1101 134685 538757 P 269380 134693 1835 1 M 4 P M 2 2 1 367 4 _____________________________________________________________________________ 11055 1469 ( 1 , 2157961 ) 11057 1469 ( 113 , 19097 ) 11056 11058 1469 1469 1078980 ( 13 , 165997 ) 82992 ( 169 , 12769 ) 6300 9492 1078981 83005 9605 6469 M P P M 13 1 113 2 2 1 4 _____________________________________________________________________________ 11059 1470 ( 2 , 1080450 ) 11061 1470 ( 10 , 216090 ) 11060 11062 11063 11064 11065 11066 11067 11068 11069 11070 1470 1470 1470 1470 1470 1470 1470 1470 1470 1470 540224 540226 ( 6 , 360150 ) 180072 180078 ( 14 , 154350 ) 77168 77182 ( 18 , 120050 ) 108040 60016 M M 108050 60034 2 M M 6 M 10 14 2 ( 30 , 72030 ) 36000 36030 M 30 ( 50 , 43218 ) 21584 21634 M 2 ( 42 , 51450 ) ( 70 , 30870 ) ( 90 , 24010 ) ( 98 , 22050 ) ( 126 , 17150 ) 25704 15400 11960 10976 8512 25746 15470 12050 11074 8638 M M M M M 42 70 10 98 14 522 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11071 1470 ( 150 , 14406 ) 11073 1470 ( 294 , 7350 ) 3528 3822 M 294 ( 450 , 4802 ) 2176 2626 M 2 11072 11074 11075 11076 11077 11078 11079 11080 1470 1470 1470 1470 1470 1470 1470 1470 ( 210 , 10290 ) ( 350 , 6174 ) ( 490 , 4410 ) ( 630 , 3430 ) ( 686 , 3150 ) ( 882 , 2450 ) ( 1050 , 2058 ) 7128 7278 5040 5250 2912 784 504 210 M 2450 1400 6 M 3262 1960 1232 M 14 M 2030 490 M 1918 70 M 1666 14 M 1554 98 M 0 22 42 22 _____________________________________________________________________________ 11081 1471 ( 1 , 2163841 ) 1081920 1081921 P 1 0 1 1 _____________________________________________________________________________ 11082 1472 ( 2 , 1083392 ) 11084 1472 ( 8 , 270848 ) 11083 11085 11086 11087 11088 11089 11090 11091 11092 11093 1472 1472 1472 1472 1472 1472 1472 1472 1472 1472 541695 541697 ( 4 , 541696 ) 270846 270850 ( 16 , 135424 ) 67704 67720 135420 P 1 M 135428 2 M 4 M 8 ( 32 , 67712 ) 33840 33872 M 16 ( 64 , 33856 ) 16896 16960 M 64 ( 46 , 47104 ) ( 92 , 23552 ) ( 128 , 16928 ) ( 184 , 11776 ) ( 256 , 8464 ) ( 368 , 5888 ) 23529 11730 8400 5796 4104 2760 23575 11822 8528 5980 4360 3128 M M M M M M 23 46 16 92 8 184 523 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11094 1472 ( 512 , 4232 ) 1860 2372 M 4 11096 1472 ( 1024 , 2116 ) 546 1570 M 2 11095 11097 1472 1472 ( 736 , 2944 ) ( 1058 , 2048 ) 1104 495 1840 M 1553 368 P 2 14 1 16 _____________________________________________________________________________ 11098 1473 ( 1 , 2169729 ) 11100 1473 ( 9 , 241081 ) 11099 11101 1473 1473 1084864 ( 3 , 723243 ) 361620 ( 491 , 4419 ) 1964 120536 1084865 361623 120545 2455 M P P M 2 2 3 491 1 1 4 _____________________________________________________________________________ 11102 1474 ( 2 , 1086338 ) 11104 1474 ( 134 , 16214 ) 11103 11105 1474 1474 543168 ( 22 , 98758 ) 49368 ( 242 , 8978 ) 4368 8040 543170 49390 8174 4610 M M 22 M M 2 134 0 4 2 4 _____________________________________________________________________________ 11106 1475 ( 1 , 2175625 ) 11108 1475 ( 25 , 87025 ) 43500 43525 ( 125 , 17405 ) 8640 8765 11107 11109 11110 11111 11112 1475 1475 1475 1475 1475 ( 5 , 435125 ) ( 59 , 36875 ) ( 295 , 7375 ) ( 625 , 3481 ) 1087812 217560 18408 3540 1428 1087813 217565 18467 3835 2053 M M P 25 M M 5 M P 2 5 1 59 295 5 1 7 _____________________________________________________________________________ 524 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11113 1476 ( 2 , 1089288 ) 11115 1476 ( 6 , 363096 ) 11114 11116 11117 11118 11119 11120 11121 11122 11123 11124 11125 11126 11127 11128 11129 11130 11131 11132 11133 11134 1476 1476 1476 1476 1476 1476 1476 1476 1476 1476 1476 1476 1476 1476 1476 1476 1476 1476 1476 1476 544643 544645 P ( 4 , 544644 ) 272320 272324 M ( 8 , 272322 ) 136157 136165 P ( 12 , 181548 ) ( 18 , 121032 ) 181545 181551 90768 4 M 90780 60507 1 3 1 M 60525 12 M ( 24 , 90774 ) 45375 45399 M 3 ( 54 , 40344 ) 20145 20199 M 3 ( 36 , 60516 ) ( 72 , 30258 ) ( 82 , 26568 ) ( 108 , 20172 ) ( 162 , 13448 ) ( 164 , 13284 ) ( 216 , 10086 ) 30240 30276 15093 M 15165 13243 10032 9 M 10140 6805 P 4935 5151 M 6724 41 M 6643 6560 36 M 13325 12 1 M 164 3 ( 246 , 8856 ) 4305 4551 M 123 ( 328 , 6642 ) 3157 3485 M 41 ( 324 , 6724 ) ( 492 , 4428 ) ( 648 , 3362 ) ( 738 , 2952 ) ( 984 , 2214 ) 3200 3524 1968 1357 1107 615 M 2460 4 M 2005 492 P 1845 1 M 1599 9 369 M 123 4 18 22 _____________________________________________________________________________ 11135 1477 ( 1 , 2181529 ) 11137 1477 ( 49 , 44521 ) 11136 1477 ( 7 , 311647 ) 1090764 155820 22236 1090765 155827 22285 P M P 1 7 1 525 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11138 1477 ( 211 , 10339 ) 5064 5275 M 2 211 2 4 _____________________________________________________________________________ 11139 1478 ( 2 , 1092242 ) 546120 546122 M 0 1 2 1 _____________________________________________________________________________ 11140 1479 ( 1 , 2187441 ) 11142 1479 ( 9 , 243049 ) 11141 11143 11144 11145 11146 11147 11148 11149 11150 11151 11152 1479 1479 1479 1479 1479 1479 1479 1479 1479 1479 1479 1093720 1093721 ( 3 , 729147 ) 364572 364575 ( 17 , 128673 ) 64328 64345 121520 M 121529 P 3 P 1 M 17 ( 29 , 75429 ) 37700 37729 M 29 ( 87 , 25143 ) 12528 12615 M 87 ( 51 , 42891 ) ( 153 , 14297 ) 21420 7072 21471 M 7225 4060 4321 M ( 493 , 4437 ) 1972 2465 M ( 289 , 7569 ) ( 841 , 2601 ) ( 867 , 2523 ) 3640 880 828 3929 1721 1695 51 M ( 261 , 8381 ) 17 29 P 1 P M 1 1 4 9 493 3 13 _____________________________________________________________________________ 11153 1480 ( 2 , 1095200 ) 11155 1480 ( 8 , 273800 ) 11154 11156 11157 11158 1480 1480 1480 1480 ( 4 , 547600 ) ( 10 , 219040 ) ( 16 , 136900 ) ( 20 , 109520 ) 547599 273798 136896 109515 68442 54750 547601 273802 136904 109525 68458 54770 P M M M M M 1 2 8 2 5 10 526 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11159 1480 ( 32 , 68450 ) 34209 34241 P 1 11161 1480 ( 50 , 43808 ) 21879 21929 P 1 11160 11162 11163 11164 11165 11166 11167 11168 11169 11170 11171 11172 11173 11174 1480 1480 1480 1480 1480 1480 1480 1480 1480 1480 1480 1480 1480 1480 ( 40 , 54760 ) ( 74 , 29600 ) ( 80 , 27380 ) ( 100 , 21904 ) ( 148 , 14800 ) ( 160 , 13690 ) ( 200 , 10952 ) 27360 27400 14763 M 14837 13650 M 13730 10902 37 M 11002 7326 7474 M 5376 5576 M 6765 40 6925 10 M 74 M 5 8 ( 296 , 7400 ) 3552 3848 M 296 ( 400 , 5476 ) 2538 2938 M 2 ( 370 , 5920 ) ( 592 , 3700 ) ( 740 , 2960 ) ( 800 , 2738 ) ( 1184 , 1850 ) 2775 3145 1554 1110 969 333 M 2146 185 M 1850 74 M 1769 P 1517 2 1 M 4 18 370 37 22 _____________________________________________________________________________ 11175 1481 ( 1 , 2193361 ) 1096680 1096681 P 1 0 1 1 _____________________________________________________________________________ 11176 1482 ( 2 , 1098162 ) 11178 1482 ( 18 , 122018 ) 11177 11179 11180 11181 1482 1482 1482 1482 549080 549082 183024 ( 26 , 84474 ) 42224 42250 M 26 ( 78 , 28158 ) 14040 14118 M 78 ( 38 , 57798 ) 28880 61018 28918 M 2 ( 6 , 366054 ) 61000 183030 M M M 6 2 38 527 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11182 1482 ( 114 , 19266 ) 11184 1482 ( 338 , 6498 ) 11183 11185 11186 11187 11188 1482 1482 1482 1482 1482 9576 9690 M 114 ( 234 , 9386 ) 4576 4810 M 26 ( 342 , 6422 ) 3040 3382 M 38 ( 494 , 4446 ) ( 722 , 3042 ) ( 1014 , 2166 ) 3080 1976 1160 576 3418 M 2470 2 M 1882 494 M 1590 2 M 0 13 6 13 _____________________________________________________________________________ 11189 1483 ( 1 , 2199289 ) 1099644 1099645 P 1 0 1 1 _____________________________________________________________________________ 11190 1484 ( 2 , 1101128 ) 11192 1484 ( 8 , 275282 ) 11191 11193 11194 11195 11196 11197 11198 11199 11200 11201 11202 1484 1484 1484 1484 1484 1484 1484 1484 1484 1484 1484 550563 550565 ( 4 , 550564 ) 275280 275284 ( 14 , 157304 ) 78645 78659 137637 P 1 M 137645 4 P 1 M 7 ( 28 , 78652 ) 39312 39340 M ( 98 , 22472 ) 11187 11285 P 1 M 4 ( 56 , 39326 ) ( 106 , 20776 ) ( 196 , 11236 ) ( 212 , 10388 ) 19635 10335 5520 5088 19691 10441 5716 5300 M 2613 3005 P ( 742 , 2968 ) 1113 1855 M 2385 2809 7 M M ( 392 , 5618 ) ( 424 , 5194 ) 28 1 M 53 212 53 4 9 371 13 _____________________________________________________________________________ 528 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11203 1485 ( 1 , 2205225 ) 11205 1485 ( 5 , 441045 ) 11204 11206 11207 11208 11209 11210 11211 11212 11213 11214 11215 11216 11217 11218 11219 11220 11221 11222 11223 11224 11225 11226 11227 11228 11229 1485 1485 1485 1485 1485 1485 1485 1485 1485 1485 1485 1485 1485 1485 1485 1485 1485 1485 1485 1485 1485 1485 1485 1485 1485 1102612 1102613 ( 3 , 735075 ) 367536 367539 M ( 9 , 245025 ) 122508 122517 M ( 11 , 200475 ) ( 15 , 147015 ) 220520 100232 73500 220525 100243 73515 M 44092 44117 P ( 33 , 66825 ) 33396 33429 M ( 45 , 49005 ) ( 55 , 40095 ) ( 75 , 29403 ) ( 81 , 27225 ) ( 99 , 22275 ) ( 121 , 18225 ) ( 135 , 16335 ) ( 165 , 13365 ) 40824 24480 20020 14664 13572 11088 40851 14739 11 1 33 45 55 3 M M 9173 P 6600 6765 M M 9 1 165 4788 5013 M 9 ( 275 , 8019 ) 3872 4147 M 11 ( 297 , 7425 ) ( 363 , 6075 ) ( 405 , 5445 ) ( 495 , 4455 ) ( 605 , 3645 ) ( 675 , 3267 ) ( 729 , 3025 ) 4416 3564 2856 2520 1980 1520 1296 1148 4659 3861 3219 2925 2475 2125 1971 1877 M M M M M M M P 99 135 ( 225 , 9801 ) ( 243 , 9075 ) 15 27 M 13653 8235 M M 9052 8100 9 M 20075 1 5 M 24525 11187 3 M ( 25 , 88209 ) ( 27 , 81675 ) P 3 297 3 45 495 5 27 1 529 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11230 1485 ( 825 , 2673 ) 11232 1485 ( 1089 , 2025 ) 11231 11233 1485 1485 ( 891 , 2475 ) ( 1215 , 1815 ) 924 792 468 1749 M 1683 300 33 M 1557 99 M 1515 9 M 4 27 15 31 _____________________________________________________________________________ 11234 1486 ( 2 , 1104098 ) 552048 552050 M 0 1 2 1 _____________________________________________________________________________ 11235 1487 ( 1 , 2211169 ) 1105584 1105585 P 1 0 1 1 _____________________________________________________________________________ 11236 1488 ( 2 , 1107072 ) 11238 1488 ( 6 , 369024 ) 11237 11239 11240 11241 11242 11243 11244 11245 11246 11247 11248 11249 11250 1488 1488 1488 1488 1488 1488 1488 1488 1488 1488 1488 1488 1488 553535 553537 P 1 ( 4 , 553536 ) 276766 276770 M 2 ( 8 , 276768 ) 138380 138388 M 4 ( 12 , 184512 ) ( 16 , 138384 ) ( 18 , 123008 ) 184509 92250 69184 61495 184515 M 92262 M 61513 P 69200 M 3 6 16 1 ( 24 , 92256 ) 46116 46140 M 12 ( 36 , 61504 ) 30734 30770 M 2 ( 32 , 69192 ) ( 48 , 46128 ) ( 62 , 35712 ) ( 64 , 34596 ) ( 72 , 30752 ) ( 96 , 23064 ) 34580 23040 17825 17266 15340 11484 34612 23088 17887 17330 15412 11580 M M M M M M 4 48 31 2 4 12 530 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11251 1488 ( 124 , 17856 ) 8866 8990 M 11253 1488 ( 144 , 15376 ) 7616 7760 M 11252 11254 11255 11256 11257 11258 11259 11260 11261 11262 11263 11264 11265 11266 1488 1488 1488 1488 1488 1488 1488 1488 1488 1488 1488 1488 1488 1488 ( 128 , 17298 ) ( 186 , 11904 ) ( 192 , 11532 ) 8585 8713 5859 P 6045 5670 5862 62 1 16 M 93 M 6 ( 248 , 8928 ) 4340 4588 M 124 ( 372 , 5952 ) 2790 3162 M 186 ( 288 , 7688 ) ( 384 , 5766 ) ( 496 , 4464 ) ( 558 , 3968 ) ( 576 , 3844 ) ( 744 , 2976 ) ( 992 , 2232 ) ( 1116 , 1984 ) ( 1152 , 1922 ) 3700 3988 2691 3075 1984 620 434 496 M 2210 31 M 1860 2 M 1612 385 3 M 2263 1634 4 M 2480 1705 1116 M 372 M 1550 124 M 1537 62 P 4 27 1 31 _____________________________________________________________________________ 11267 1489 ( 1 , 2217121 ) 1108560 1108561 P 1 0 1 1 _____________________________________________________________________________ 11268 1490 ( 2 , 1110050 ) 11270 1490 ( 50 , 44402 ) 11269 11271 1490 1490 ( 10 , 222010 ) ( 298 , 7450 ) 555024 111000 22176 3576 555026 111010 22226 3874 M M M 0 2 M 2 4 10 298 4 _____________________________________________________________________________ 531 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11272 1491 ( 1 , 2223081 ) 11274 1491 ( 7 , 317583 ) 11273 11275 11276 11277 11278 11279 11280 11281 11282 11283 11284 1491 1491 1491 1491 1491 1491 1491 1491 1491 1491 1491 1111540 1111541 ( 3 , 741027 ) 370512 370515 M ( 9 , 247009 ) 123500 123509 P ( 21 , 105861 ) 158788 52920 158795 52941 22709 P ( 71 , 31311 ) 15620 15691 M ( 147 , 15123 ) ( 213 , 10437 ) 7488 5112 17675 5325 2741 P ( 639 , 3479 ) 1420 2059 M 2485 21 7 3 M 2300 1988 1 M ( 441 , 5041 ) ( 497 , 4473 ) 1 M 7635 1 7 M 22660 17612 3 M ( 49 , 45369 ) ( 63 , 35287 ) P 1 M 71 213 497 4 9 71 13 _____________________________________________________________________________ 11285 1492 ( 2 , 1113032 ) 11287 1492 ( 8 , 278258 ) 11286 11288 1492 1492 556515 ( 4 , 556516 ) 278256 ( 746 , 2984 ) 1119 139125 556517 P 278260 139133 1865 M 1 M 4 P 2 2 1 373 4 _____________________________________________________________________________ 11289 1493 ( 1 , 2229049 ) 1114524 1114525 P 1 0 1 1 _____________________________________________________________________________ 11290 1494 ( 2 , 1116018 ) 11292 1494 ( 18 , 124002 ) 11291 1494 ( 6 , 372006 ) 558008 186000 61992 558010 186006 62010 M M M 2 6 18 532 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11293 1494 ( 54 , 41334 ) 20640 11295 1494 ( 166 , 13446 ) 6640 11294 11296 1494 1494 ( 162 , 13778 ) ( 498 , 4482 ) 20694 6808 M 6970 M 6806 1992 2 M 2490 M 6 166 0 7 498 7 _____________________________________________________________________________ 11297 1495 ( 1 , 2235025 ) 11299 1495 ( 13 , 171925 ) 11298 11300 11301 11302 11303 11304 11305 11306 11307 11308 11309 1495 1495 1495 1495 1495 1495 1495 1495 1495 1495 1495 1117512 1117513 ( 5 , 447005 ) 223500 ( 23 , 97175 ) 48576 48599 M ( 65 , 34385 ) 17160 17225 M ( 25 , 89401 ) ( 115 , 19435 ) ( 169 , 13225 ) 85956 44688 9660 6528 223505 85969 M P 5 M 44713 13 23 P 9775 1 65 M 6697 115 P 1 ( 299 , 7475 ) 3588 3887 M ( 529 , 4225 ) 1848 2377 P 1 M 5 ( 325 , 6877 ) ( 575 , 3887 ) ( 845 , 2645 ) 3276 1656 900 3601 2231 1745 1 299 M 13 M 23 4 9 13 _____________________________________________________________________________ 11310 1496 ( 2 , 1119008 ) 11312 1496 ( 8 , 279752 ) 11311 11313 11314 11315 1496 1496 1496 1496 559503 559505 ( 4 , 559504 ) 279750 279754 ( 16 , 139876 ) 69930 69946 ( 22 , 101728 ) ( 32 , 69938 ) 139872 50853 34953 139880 50875 34985 P 1 M 2 M 8 M M P 2 1 11 533 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11316 1496 ( 34 , 65824 ) 32895 32929 M 17 11318 1496 ( 68 , 32912 ) 16422 16490 M 34 11317 11319 11320 11321 11322 11323 11324 11325 11326 11327 11328 11329 11330 11331 1496 1496 1496 1496 1496 1496 1496 1496 1496 1496 1496 1496 1496 1496 ( 44 , 50864 ) ( 88 , 25432 ) ( 136 , 16456 ) ( 176 , 12716 ) 25410 25454 12672 M 12760 8160 M 8296 6270 6446 4745 P ( 352 , 6358 ) 3003 3355 M ( 374 , 5984 ) ( 484 , 4624 ) ( 544 , 4114 ) ( 578 , 3872 ) ( 748 , 2992 ) ( 968 , 2312 ) ( 1156 , 1936 ) 4250 2805 1647 1122 672 390 11 187 M 2329 2 M 2225 1870 17 P 1 M 8 M 1640 1546 22 34 M 2554 1785 1 M 3179 2070 136 M 4503 3978 88 M ( 242 , 9248 ) ( 272 , 8228 ) 22 374 M 4 18 2 22 _____________________________________________________________________________ 11332 1497 ( 1 , 2241009 ) 11334 1497 ( 9 , 249001 ) 11333 11335 1497 1497 1120504 ( 3 , 747003 ) 373500 ( 499 , 4491 ) 1996 124496 1120505 373503 124505 2495 M M P P 2 2 3 499 1 1 4 _____________________________________________________________________________ 11336 1498 ( 2 , 1122002 ) 11338 1498 ( 98 , 22898 ) 11337 1498 ( 14 , 160286 ) 561000 80136 11400 561002 80150 11498 M M M 2 2 14 534 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11339 1498 ( 214 , 10486 ) 5136 5350 M 0 4 214 4 _____________________________________________________________________________ 11340 1499 ( 1 , 2247001 ) 1123500 1123501 P 1 0 1 1 _____________________________________________________________________________ 11341 1500 ( 2 , 1125000 ) 11343 1500 ( 6 , 375000 ) 11342 11344 11345 11346 11347 11348 11349 11350 11351 11352 11353 11354 11355 11356 11357 11358 11359 11360 11361 1500 1500 1500 1500 1500 1500 1500 1500 1500 1500 1500 1500 1500 1500 1500 1500 1500 1500 1500 562499 562501 P ( 4 , 562500 ) 281248 281252 M ( 8 , 281250 ) 140621 140629 P ( 10 , 225000 ) ( 12 , 187500 ) ( 18 , 125000 ) ( 20 , 112500 ) 187497 112495 187503 4 M 112505 93744 93756 M 56240 56260 M 62491 1 62509 3 1 M 12 P 1 ( 24 , 93750 ) 46863 46887 M 3 ( 36 , 62500 ) 31232 31268 M 4 ( 30 , 75000 ) ( 40 , 56250 ) ( 50 , 45000 ) ( 60 , 37500 ) ( 72 , 31250 ) ( 90 , 25000 ) ( 100 , 22500 ) ( 120 , 18750 ) ( 150 , 15000 ) ( 180 , 12500 ) ( 200 , 11250 ) 37485 28105 22475 18720 15589 12455 11200 37515 28145 22525 18780 15661 12545 11300 M M M M P M 9315 9435 M 6160 6340 M 7425 5525 7575 5725 M M M 5 20 15 5 25 60 1 5 15 75 20 25 100 535 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11362 1500 ( 250 , 9000 ) 4375 4625 M 125 11364 1500 ( 360 , 6250 ) 2945 3305 M 5 11363 11365 11366 11367 11368 11369 11370 11371 1500 1500 1500 1500 1500 1500 1500 1500 ( 300 , 7500 ) ( 450 , 5000 ) ( 500 , 4500 ) ( 600 , 3750 ) ( 750 , 3000 ) ( 900 , 2500 ) ( 1000 , 2250 ) ( 1250 , 1800 ) 3600 3900 2275 2725 2000 800 625 25 M 2175 500 M 1875 75 M 1700 275 300 M 2500 1575 1125 M 375 M 1625 100 M 1525 125 M 4 27 25 31 _____________________________________________________________________________ 11372 1501 ( 1 , 2253001 ) 11374 1501 ( 79 , 28519 ) 11373 11375 1501 1501 ( 19 , 118579 ) ( 361 , 6241 ) 1126500 59280 14220 2940 1126501 59299 14299 3301 P P M M 2 2 19 1 1 79 4 _____________________________________________________________________________ 11376 1502 ( 2 , 1128002 ) 564000 564002 0 M 1 1 2 _____________________________________________________________________________ 11377 1503 ( 1 , 2259009 ) 11379 1503 ( 9 , 251001 ) 11378 11380 11381 11382 1503 1503 1503 1503 1129504 1129505 ( 3 , 753003 ) 376500 ( 27 , 83667 ) 41820 41847 ( 167 , 13527 ) 6680 6847 ( 81 , 27889 ) 125496 13904 376503 125505 13985 M P M M M P 3 3 1 167 9 1 536 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11383 1503 ( 501 , 4509 ) 2004 2505 M 2 5 501 7 _____________________________________________________________________________ 11384 1504 ( 2 , 1131008 ) 11386 1504 ( 8 , 282752 ) 11385 11387 11388 11389 11390 11391 11392 11393 11394 11395 11396 1504 1504 1504 1504 1504 1504 1504 1504 1504 1504 1504 565503 565505 ( 4 , 565504 ) 282750 282754 ( 16 , 141376 ) 70680 70696 141372 P 1 M 141380 2 M 4 M 8 ( 32 , 70688 ) 35328 35360 M 32 ( 94 , 24064 ) 11985 12079 M 47 ( 64 , 35344 ) ( 128 , 17672 ) ( 188 , 12032 ) 17640 8772 5922 17704 8900 6110 M M 4290 4546 M ( 512 , 4418 ) 1953 2465 P ( 752 , 3008 ) 2820 1128 3196 4 M ( 256 , 8836 ) ( 376 , 6016 ) 8 94 2 M 1880 188 1 M 2 11 376 13 _____________________________________________________________________________ 11397 1505 ( 1 , 2265025 ) 11399 1505 ( 7 , 323575 ) 11398 11400 11401 11402 11403 11404 11405 1505 1505 1505 1505 1505 1505 1505 1132512 1132513 ( 5 , 453005 ) 226500 ( 25 , 90601 ) 45288 45313 P ( 43 , 52675 ) 26316 26359 M ( 35 , 64715 ) ( 49 , 46225 ) ( 175 , 12943 ) ( 215 , 10535 ) 161784 32340 23088 6384 5160 226505 161791 32375 23137 6559 5375 M P M M M M P 5 1 35 43 1 7 215 7 1 537 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11406 1505 ( 245 , 9245 ) 4500 4745 M 5 11408 1505 ( 1075 , 2107 ) 516 1591 M 43 11407 11409 1505 1505 ( 301 , 7525 ) ( 1225 , 1849 ) 3612 312 3913 M 1537 301 P 4 9 1 13 _____________________________________________________________________________ 11410 1506 ( 2 , 1134018 ) 11412 1506 ( 18 , 126002 ) 11411 11413 1506 1506 567008 ( 6 , 378006 ) 189000 ( 502 , 4518 ) 2008 62992 567010 M 189006 63010 2510 2 M 6 M M 0 4 502 2 4 _____________________________________________________________________________ 11414 1507 ( 1 , 2271049 ) 11416 1507 ( 121 , 18769 ) 11415 11417 1507 1507 1135524 ( 11 , 206459 ) 103224 ( 137 , 16577 ) 8220 9324 1135525 103235 9445 8357 M P M 2 P 1 11 1 2 137 4 _____________________________________________________________________________ 11418 1508 ( 2 , 1137032 ) 11420 1508 ( 8 , 284258 ) 11419 11421 11422 11423 11424 11425 11426 1508 1508 1508 1508 1508 1508 1508 568515 568517 P ( 4 , 568516 ) 284256 ( 26 , 87464 ) 43719 43745 M ( 58 , 39208 ) 19575 19633 M ( 52 , 43732 ) ( 104 , 21866 ) ( 116 , 19604 ) ( 232 , 9802 ) 142125 21840 10881 9744 4785 284260 M 142133 21892 10985 9860 5017 1 4 P 1 13 M M M M 52 29 13 116 29 538 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11427 1508 ( 338 , 6728 ) 3195 3533 P 11429 1508 ( 754 , 3016 ) 1131 1885 M 11428 11430 1508 1508 ( 676 , 3364 ) ( 1352 , 1682 ) 1344 165 2020 1 M 1517 4 377 P 4 9 1 13 _____________________________________________________________________________ 11431 1509 ( 1 , 2277081 ) 11433 1509 ( 9 , 253009 ) 11432 11434 1509 1509 1138540 ( 3 , 759027 ) 379512 ( 503 , 4527 ) 2012 126500 1138541 379515 126509 2515 M P P M 2 2 3 1 1 503 4 _____________________________________________________________________________ 11435 1510 ( 2 , 1140050 ) 11437 1510 ( 50 , 45602 ) 11436 11438 1510 1510 ( 10 , 228010 ) ( 302 , 7550 ) 570024 114000 22776 3624 570026 114010 22826 3926 M M 2 M M 0 10 2 4 302 4 _____________________________________________________________________________ 11439 1511 ( 1 , 2283121 ) 1141560 1141561 P 1 0 1 1 _____________________________________________________________________________ 11440 1512 ( 2 , 1143072 ) 11442 1512 ( 6 , 381024 ) 11441 11443 11444 11445 1512 1512 1512 1512 571535 571537 P 1 ( 4 , 571536 ) 285766 285770 M 2 ( 8 , 285768 ) 142880 142888 M 8 ( 12 , 190512 ) ( 14 , 163296 ) 190509 95250 81641 190515 95262 81655 M M M 3 6 7 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11446 1512 ( 16 , 142884 ) 11448 1512 ( 24 , 95256 ) 47616 47640 M ( 32 , 71442 ) 35705 35737 P 11447 11449 11450 11451 11452 11453 11454 11455 11456 11457 11458 11459 11460 11461 11462 11463 11464 11465 11466 11467 11468 11469 11470 11471 11472 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 ( 18 , 127008 ) ( 28 , 81648 ) ( 36 , 63504 ) ( 42 , 54432 ) ( 48 , 47628 ) ( 54 , 42336 ) ( 56 , 40824 ) ( 72 , 31752 ) ( 84 , 27216 ) ( 96 , 23814 ) ( 98 , 23328 ) ( 108 , 21168 ) ( 112 , 20412 ) ( 126 , 18144 ) ( 144 , 15876 ) ( 162 , 14112 ) ( 168 , 13608 ) ( 196 , 11664 ) ( 216 , 10584 ) ( 224 , 10206 ) 71434 63495 40810 31734 27195 23790 21141 20384 15840 13566 11859 11615 10530 10150 71450 539 63513 31770 23838 20440 13650 11713 72 42 3 P 10638 1 M M 5215 56 M 7137 4991 27 M 11955 5400 6 M 6975 5184 21 M 15912 5930 18 M M 5734 1 M 21195 6888 14 M 9135 6720 24 M 27237 8010 9 M 9009 7866 2 M 40838 10262 M M M M M M M 63 9 168 2 216 7 4410 4662 M 126 ( 294 , 7776 ) 3741 4035 M 3 ( 324 , 7056 ) 3825 3366 4113 3690 M M 14 18 ( 252 , 9072 ) ( 288 , 7938 ) 54 9 18 540 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11473 1512 ( 336 , 6804 ) 3234 3570 M 42 11475 1512 ( 392 , 5832 ) 2720 3112 M 8 11474 11476 11477 11478 11479 11480 11481 11482 11483 11484 11485 11486 11487 11488 11489 11490 11491 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 1512 ( 378 , 6048 ) ( 432 , 5292 ) ( 486 , 4704 ) ( 504 , 4536 ) ( 588 , 3888 ) ( 648 , 3528 ) ( 672 , 3402 ) ( 756 , 3024 ) ( 784 , 2916 ) ( 864 , 2646 ) ( 882 , 2592 ) ( 972 , 2352 ) ( 1008 , 2268 ) ( 1134 , 2016 ) ( 1176 , 1944 ) ( 1296 , 1764 ) ( 1458 , 1568 ) 2835 3213 2430 2862 2109 6 M 2037 1134 504 M 2088 1365 3 M 2238 1440 54 M 2520 1650 189 M 2595 2016 1066 M 72 M 1890 21 M 1850 378 M 2 891 1755 M 27 690 1662 M 6 855 630 1737 1638 441 55 9 M 1575 384 234 M 126 M 1560 63 M 1530 24 M 1513 P 4 1 18 48 52 _____________________________________________________________________________ 11492 1513 ( 1 , 2289169 ) 11494 1513 ( 89 , 25721 ) 11493 11495 1513 1513 ( 17 , 134657 ) ( 289 , 7921 ) 1144584 67320 12816 3816 1144585 67337 12905 4105 P M P M 2 2 17 1 1 89 4 _____________________________________________________________________________ 541 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11496 1514 ( 2 , 1146098 ) 573048 573050 M 0 1 2 1 _____________________________________________________________________________ 11497 1515 ( 1 , 2295225 ) 11499 1515 ( 5 , 459045 ) 11498 11500 11501 11502 11503 11504 11505 11506 11507 11508 11509 1515 1515 1515 1515 1515 1515 1515 1515 1515 1515 1515 1147612 1147613 ( 3 , 765075 ) 382536 382539 M ( 9 , 255025 ) 127508 127517 P ( 15 , 153015 ) 229520 229525 76500 76515 45917 P ( 75 , 30603 ) 15264 15339 M ( 101 , 22725 ) ( 225 , 10201 ) 11312 3636 ( 909 , 2525 ) 808 2020 5213 P 3939 2525 1 1 M 11413 4988 ( 303 , 7575 ) ( 505 , 4545 ) 25525 15 5 3 M 1 M 101 303 M 1717 1 5 M 45892 25480 3 M ( 25 , 91809 ) ( 45 , 51005 ) P 505 M 4 9 101 13 _____________________________________________________________________________ 11510 1516 ( 2 , 1149128 ) 11512 1516 ( 8 , 287282 ) 11511 11513 1516 1516 574563 ( 4 , 574564 ) 287280 ( 758 , 3032 ) 1137 143637 574565 P 287284 143645 1895 1 M 4 P M 2 2 379 1 4 _____________________________________________________________________________ 11514 1517 ( 1 , 2301289 ) 11516 1517 ( 41 , 56129 ) 11515 1517 ( 37 , 62197 ) 1150644 31080 28044 1150645 31117 28085 M M P 37 41 1 542 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11517 1517 ( 1369 , 1681 ) 156 1525 P 2 1 2 4 _____________________________________________________________________________ 11518 1518 ( 2 , 1152162 ) 11520 1518 ( 18 , 128018 ) 11519 11521 11522 11523 11524 11525 11526 11527 11528 11529 11530 1518 1518 1518 1518 1518 1518 1518 1518 1518 1518 1518 576080 576082 ( 6 , 384054 ) 192024 192030 ( 22 , 104742 ) 52360 52382 64000 25024 25070 ( 138 , 16698 ) 8280 8418 ( 198 , 11638 ) 17424 6 M 2 M 22 M 17490 5720 2 M 64018 ( 46 , 50094 ) ( 66 , 34914 ) M 46 M 66 M 5918 138 M 22 ( 242 , 9522 ) 4640 4882 M 2 ( 506 , 4554 ) 2024 2530 M 506 ( 414 , 5566 ) ( 726 , 3174 ) ( 1058 , 2178 ) 2576 2990 1224 M 1950 560 46 M 1618 6 M 0 13 2 13 _____________________________________________________________________________ 11531 1519 ( 1 , 2307361 ) 11533 1519 ( 31 , 74431 ) 37200 37231 ( 217 , 10633 ) 5208 5425 11532 11534 11535 11536 11537 1519 1519 1519 1519 1519 ( 7 , 329623 ) ( 49 , 47089 ) ( 343 , 6727 ) ( 961 , 2401 ) 1153680 164808 23520 3192 720 1153681 164815 M 23569 3535 1681 M P 31 M 49 M 217 M P 2 7 1 5 1 7 7 _____________________________________________________________________________ 543 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11538 1520 ( 2 , 1155200 ) 11540 1520 ( 8 , 288800 ) 11539 11541 11542 11543 11544 11545 11546 11547 11548 11549 11550 11551 11552 11553 11554 11555 11556 11557 11558 11559 11560 11561 11562 11563 11564 1520 1520 1520 1520 1520 1520 1520 1520 1520 1520 1520 1520 1520 1520 1520 1520 1520 1520 1520 1520 1520 1520 1520 1520 1520 ( 4 , 577600 ) ( 10 , 231040 ) ( 16 , 144400 ) ( 20 , 115520 ) 577599 288798 144396 115515 72192 57750 577601 P 288802 1 M 144404 2 M 115525 72208 M 57770 4 M 5 16 M 10 ( 32 , 72200 ) 36084 36116 M 4 ( 40 , 57760 ) 28860 28900 M 20 ( 38 , 60800 ) ( 50 , 46208 ) ( 64 , 36100 ) ( 76 , 30400 ) ( 80 , 28880 ) ( 100 , 23104 ) ( 128 , 18050 ) ( 152 , 15200 ) ( 160 , 14440 ) ( 190 , 12160 ) ( 200 , 11552 ) 30381 23079 18018 15162 14400 11502 30419 M 23129 P 18082 14480 P 7140 7300 M 5985 5676 6175 5876 38 M 9089 7676 2 M 8961 7524 1 M 15238 11602 19 M M 80 1 76 20 M M 95 4 ( 304 , 7600 ) 3648 3952 M 304 ( 380 , 6080 ) 2850 3230 M 190 ( 320 , 7220 ) ( 400 , 5776 ) ( 608 , 3800 ) ( 640 , 3610 ) ( 722 , 3200 ) ( 760 , 3040 ) 3450 2688 1596 1485 1239 1140 3770 3088 2204 2125 1961 1900 M M M M P M 10 16 76 5 1 380 2 544 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11565 1520 ( 800 , 2888 ) 1044 11567 1520 ( 1216 , 1900 ) 342 11566 11568 1520 1520 ( 950 , 2432 ) ( 1444 , 1600 ) 1844 M 4 741 1691 M 19 78 1522 M 2 1558 M 38 4 27 31 _____________________________________________________________________________ 11569 1521 ( 1 , 2313441 ) 11571 1521 ( 9 , 257049 ) 11570 11572 11573 11574 11575 11576 11577 11578 11579 11580 1521 1521 1521 1521 1521 1521 1521 1521 1521 1521 1156720 1156721 ( 3 , 771147 ) 385572 385575 ( 13 , 177957 ) 88972 88985 128520 M 128529 42855 M ( 81 , 28561 ) 14240 14321 P ( 117 , 19773 ) ( 169 , 13689 ) 9828 6760 29679 6929 3 M 9945 1 M 117 M 169 3120 3471 M 39 ( 1053 , 2197 ) 572 1625 M 13 2028 2535 13 39 ( 351 , 6591 ) ( 507 , 4563 ) 1 9 M 42828 29640 3 M ( 27 , 85683 ) ( 39 , 59319 ) P M 507 2 10 12 _____________________________________________________________________________ 11581 1522 ( 2 , 1158242 ) 579120 579122 0 M 1 1 2 _____________________________________________________________________________ 11582 1523 ( 1 , 2319529 ) 1159764 1159765 P 1 0 1 1 _____________________________________________________________________________ 11583 1524 ( 2 , 1161288 ) 580643 580645 P 1 545 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11584 1524 ( 4 , 580644 ) 290320 290324 M 11586 1524 ( 8 , 290322 ) 145157 145165 P 11585 11587 11588 11589 11590 11591 11592 11593 11594 11595 1524 1524 1524 1524 1524 1524 1524 1524 1524 1524 ( 6 , 387096 ) ( 12 , 193548 ) ( 18 , 129032 ) 193545 96768 64507 193551 M 96780 64525 48399 M ( 72 , 32258 ) 16093 16165 P ( 254 , 9144 ) ( 508 , 4572 ) ( 762 , 3048 ) ( 1016 , 2286 ) 32276 4699 M 1143 1905 M 635 2540 12 1 3 M 4445 2032 1 P 48375 32240 3 M ( 24 , 96774 ) ( 36 , 64516 ) 4 4 1 127 M 1651 508 381 M 4 9 127 13 _____________________________________________________________________________ 11596 1525 ( 1 , 2325625 ) 11598 1525 ( 25 , 93025 ) 46500 46525 ( 125 , 18605 ) 9240 9365 11597 11599 11600 11601 11602 1525 1525 1525 1525 1525 ( 5 , 465125 ) ( 61 , 38125 ) ( 305 , 7625 ) ( 625 , 3721 ) 1162812 232560 19032 3660 1548 1162813 232565 M 19093 3965 2173 M P 25 M M 5 M P 5 1 61 305 2 5 1 7 _____________________________________________________________________________ 11603 1526 ( 2 , 1164338 ) 11605 1526 ( 98 , 23762 ) 11604 11606 1526 1526 ( 14 , 166334 ) ( 218 , 10682 ) 582168 83160 11832 5232 582170 83174 11930 5450 M M M M 2 2 14 218 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 546 0 4 4 _____________________________________________________________________________ 11607 1527 ( 1 , 2331729 ) 11609 1527 ( 9 , 259081 ) 11608 11610 1527 1527 1165864 ( 3 , 777243 ) 388620 ( 509 , 4581 ) 2036 129536 1165865 388623 129545 2545 M P P M 2 2 3 1 1 509 4 _____________________________________________________________________________ 11611 1528 ( 2 , 1167392 ) 11613 1528 ( 8 , 291848 ) 11612 11614 11615 11616 11617 1528 1528 1528 1528 1528 583695 583697 ( 4 , 583696 ) 291846 291850 ( 16 , 145924 ) 72954 72970 145920 ( 32 , 72962 ) 36465 ( 764 , 3056 ) 1146 ( 382 , 6112 ) 2865 P M 145928 36497 3247 1910 1 2 M 8 M M P M 1 2 191 2 5 382 7 _____________________________________________________________________________ 11618 1529 ( 1 , 2337841 ) 11620 1529 ( 121 , 19321 ) 11619 11621 1529 1529 1168920 ( 11 , 212531 ) 106260 ( 139 , 16819 ) 8340 9600 1168921 106271 9721 8479 M P M 2 P 1 11 1 2 139 4 _____________________________________________________________________________ 11622 1530 ( 2 , 1170450 ) 11624 1530 ( 10 , 234090 ) 11623 11625 1530 1530 585224 585226 ( 6 , 390150 ) 195072 195078 ( 18 , 130050 ) 65016 65034 117040 117050 M M M M 2 6 10 18 547 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11626 1530 ( 30 , 78030 ) 39000 39030 M 30 11628 1530 ( 50 , 46818 ) 23384 23434 M 2 11627 11629 11630 11631 11632 11633 11634 11635 11636 11637 11638 11639 11640 11641 11642 11643 1530 1530 1530 1530 1530 1530 1530 1530 1530 1530 1530 1530 1530 1530 1530 1530 ( 34 , 68850 ) ( 54 , 43350 ) ( 90 , 26010 ) ( 102 , 22950 ) ( 150 , 15606 ) ( 162 , 14450 ) ( 170 , 13770 ) 34408 34442 21648 M 21702 12960 M 13050 11424 6 M 11526 7728 7878 M 6800 6970 M 7144 34 7306 90 M 6 M 2 170 ( 270 , 8670 ) 4200 4470 M 30 ( 450 , 5202 ) 2376 2826 M 18 ( 306 , 7650 ) ( 510 , 4590 ) ( 578 , 4050 ) ( 810 , 2890 ) ( 850 , 2754 ) ( 918 , 2550 ) ( 1350 , 1734 ) 3672 3978 2040 1736 1040 952 816 192 M 2550 1850 1802 1734 1542 306 M 2314 510 M 2 M 10 M 34 M M 102 102 0 22 6 22 _____________________________________________________________________________ 11644 1531 ( 1 , 2343961 ) 1171980 1171981 P 1 0 1 1 _____________________________________________________________________________ 11645 1532 ( 2 , 1173512 ) 11647 1532 ( 8 , 293378 ) 11646 11648 1532 1532 586755 ( 4 , 586756 ) 293376 ( 766 , 3064 ) 1149 146685 586757 293380 146693 1915 M P 1 M P 4 383 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 548 2 2 4 _____________________________________________________________________________ 11649 1533 ( 1 , 2350089 ) 11651 1533 ( 7 , 335727 ) 11650 11652 11653 11654 11655 11656 11657 11658 11659 11660 11661 1533 1533 1533 1533 1533 1533 1533 1533 1533 1533 1533 1175044 1175045 ( 3 , 783363 ) 391680 391683 M ( 9 , 261121 ) 130556 130565 P ( 21 , 111909 ) 167860 55944 167867 55965 24005 P ( 73 , 32193 ) 16060 16133 M ( 147 , 15987 ) ( 219 , 10731 ) 7920 5256 18683 5475 2885 P ( 657 , 3577 ) 1460 2117 M 2555 21 7 3 M 2444 2044 1 M ( 441 , 5329 ) ( 511 , 4599 ) 1 M 8067 1 7 M 23956 18620 3 M ( 49 , 47961 ) ( 63 , 37303 ) P 1 M 73 219 511 4 9 73 13 _____________________________________________________________________________ 11662 1534 ( 2 , 1176578 ) 11664 1534 ( 118 , 19942 ) 11663 11665 1534 1534 588288 ( 26 , 90506 ) 45240 ( 338 , 6962 ) 3312 9912 588290 45266 10030 3650 M M M 26 M 0 4 2 2 118 4 _____________________________________________________________________________ 11666 1535 ( 1 , 2356225 ) 11668 1535 ( 25 , 94249 ) 11667 11669 1535 1535 ( 5 , 471245 ) ( 307 , 7675 ) 1178112 235620 47112 3684 1178113 235625 47137 3991 M P M P 1 307 5 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 549 2 2 4 _____________________________________________________________________________ 11670 1536 ( 2 , 1179648 ) 11672 1536 ( 6 , 393216 ) 11671 11673 11674 11675 11676 11677 11678 11679 11680 11681 11682 11683 11684 11685 11686 11687 11688 11689 11690 11691 11692 11693 11694 1536 1536 1536 1536 1536 1536 1536 1536 1536 1536 1536 1536 1536 1536 1536 1536 1536 1536 1536 1536 1536 1536 1536 589823 589825 P 1 ( 4 , 589824 ) 294910 294914 M 2 ( 8 , 294912 ) 147452 147460 M 4 ( 12 , 196608 ) ( 16 , 147456 ) ( 18 , 131072 ) 196605 98298 73720 65527 196611 M 98310 M 65545 P 73736 3 6 M 8 1 ( 24 , 98304 ) 49140 49164 M 12 ( 36 , 65536 ) 32750 32786 M 2 ( 32 , 73728 ) ( 48 , 49152 ) ( 64 , 36864 ) ( 72 , 32768 ) ( 96 , 24576 ) ( 128 , 18432 ) ( 144 , 16384 ) ( 192 , 12288 ) 36848 24552 18400 16348 12240 36880 M 24600 M 18464 24 M 16420 12336 16 32 M M 4 48 9152 9280 M 64 6048 6240 M 96 8120 8264 M 8 ( 256 , 9216 ) 4480 4736 M 128 ( 384 , 6144 ) 2880 3264 M 192 ( 288 , 8192 ) ( 512 , 4608 ) ( 576 , 4096 ) ( 768 , 3072 ) ( 1024 , 2304 ) ( 1152 , 2048 ) 3952 2048 1760 1152 640 448 4240 2560 2336 1920 1664 1600 M M M M M M 16 512 32 384 128 64 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 550 2 23 25 _____________________________________________________________________________ 11695 1537 ( 1 , 2362369 ) 11697 1537 ( 53 , 44573 ) 11696 11698 1537 1537 1181184 ( 29 , 81461 ) 40716 ( 841 , 2809 ) 984 22260 1181185 40745 22313 1825 P M M P 2 2 1 29 53 1 4 _____________________________________________________________________________ 11699 1538 ( 2 , 1182722 ) 591360 591362 M 0 1 2 1 _____________________________________________________________________________ 11700 1539 ( 1 , 2368521 ) 11702 1539 ( 9 , 263169 ) 11701 11703 11704 11705 11706 11707 11708 11709 11710 11711 11712 1539 1539 1539 1539 1539 1539 1539 1539 1539 1539 1539 1184260 1184261 ( 3 , 789507 ) 394752 394755 ( 19 , 124659 ) 62320 62339 131580 M 131589 P 3 M 9 M 19 ( 27 , 87723 ) 43848 43875 M 27 ( 81 , 29241 ) 14580 14661 M 81 ( 57 , 41553 ) ( 171 , 13851 ) 20748 6840 20805 7011 M 4752 4995 M ( 513 , 4617 ) 2052 2565 M ( 361 , 6561 ) ( 729 , 3249 ) ( 1083 , 2187 ) 3100 1260 552 3461 1989 1635 57 M ( 243 , 9747 ) 171 27 P 1 513 M M 1 9 2 11 3 13 _____________________________________________________________________________ 11713 1540 ( 2 , 1185800 ) 592899 592901 P 1 551 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11714 1540 ( 4 , 592900 ) 11716 1540 ( 10 , 237160 ) 11715 11717 11718 11719 11720 11721 11722 11723 11724 11725 11726 11727 11728 11729 11730 11731 11732 11733 11734 11735 11736 11737 11738 11739 11740 1540 1540 1540 1540 1540 1540 1540 1540 1540 1540 1540 1540 1540 1540 1540 1540 1540 1540 1540 1540 1540 1540 1540 1540 1540 ( 8 , 296450 ) ( 14 , 169400 ) ( 20 , 118580 ) ( 22 , 107800 ) 296448 148221 118575 296452 M 148229 118585 P 1 7 84693 84707 M 53889 53911 M 59280 59300 4 M M 20 11 ( 28 , 84700 ) 42336 42364 M 28 ( 44 , 53900 ) 26928 26972 M 44 ( 40 , 59290 ) ( 50 , 47432 ) ( 56 , 42350 ) ( 70 , 33880 ) ( 88 , 26950 ) ( 98 , 24200 ) ( 100 , 23716 ) ( 110 , 21560 ) ( 140 , 16940 ) ( 154 , 15400 ) ( 196 , 12100 ) ( 200 , 11858 ) ( 220 , 10780 ) 29625 23691 21147 16905 13431 12051 11808 10725 29665 M 23741 13519 11908 5952 6148 M 5280 5500 P M 4779 5021 P ( 308 , 7700 ) 3696 4004 M ( 350 , 6776 ) ( 392 , 6050 ) ( 440 , 5390 ) 4095 3213 2829 2475 4375 3563 3221 2915 M M M P M 4 55 140 M ( 242 , 9800 ) ( 280 , 8470 ) 1 M M 6029 11 P 8540 5829 35 M 12149 7777 7 M 8400 7623 1 M 16975 10835 5 P 21203 5 77 4 1 1 220 35 308 7 1 55 552 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11741 1540 ( 484 , 4900 ) 2208 2692 M 4 11743 1540 ( 550 , 4312 ) 1881 2431 M 11 11742 11744 11745 11746 11747 11748 11749 11750 11751 11752 1540 1540 1540 1540 1540 1540 1540 1540 1540 1540 ( 490 , 4840 ) ( 616 , 3850 ) ( 700 , 3388 ) ( 770 , 3080 ) ( 968 , 2450 ) ( 980 , 2420 ) ( 1078 , 2200 ) ( 1100 , 2156 ) ( 1210 , 1960 ) ( 1400 , 1694 ) 2175 2665 1617 2233 1344 1155 741 720 561 M M 2044 P 1700 147 28 M 1709 375 77 M 1925 528 5 1 M 1639 20 M 1628 11 M 1585 44 M 1547 385 5 M 8 32 7 40 _____________________________________________________________________________ 11753 1541 ( 1 , 2374681 ) 11755 1541 ( 67 , 35443 ) 11754 11756 1541 1541 ( 23 , 103247 ) ( 529 , 4489 ) 1187340 51612 17688 1980 1187341 51635 17755 2509 P P M M 2 2 23 1 1 67 4 _____________________________________________________________________________ 11757 1542 ( 2 , 1188882 ) 11759 1542 ( 18 , 132098 ) 11758 11760 1542 1542 594440 ( 6 , 396294 ) 198144 ( 514 , 4626 ) 2056 66040 594442 198150 66058 2570 M M 2 M 6 M 0 4 514 2 4 _____________________________________________________________________________ 11761 1543 ( 1 , 2380849 ) 1190424 1190425 P 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 553 1 0 1 _____________________________________________________________________________ 11762 1544 ( 2 , 1191968 ) 11764 1544 ( 8 , 297992 ) 11763 11765 11766 11767 11768 1544 1544 1544 1544 1544 595983 595985 ( 4 , 595984 ) 297990 297994 ( 16 , 148996 ) 74490 74506 148992 ( 32 , 74498 ) 37233 ( 772 , 3088 ) 1158 ( 386 , 6176 ) P M 149000 37265 2895 3281 2 M 8 M M 1930 1 P M 1 2 193 2 5 386 7 _____________________________________________________________________________ 11769 1545 ( 1 , 2387025 ) 11771 1545 ( 5 , 477405 ) 11770 11772 11773 11774 11775 11776 11777 11778 11779 11780 11781 1545 1545 1545 1545 1545 1545 1545 1545 1545 1545 1545 1193512 1193513 ( 3 , 795675 ) 397836 397839 M ( 9 , 265225 ) 132608 132617 P ( 15 , 159135 ) 238700 79560 238705 79575 47753 P ( 75 , 31827 ) 15876 15951 M ( 103 , 23175 ) ( 225 , 10609 ) 11536 5192 ( 309 , 7725 ) 3708 ( 927 , 2575 ) 824 ( 515 , 4635 ) 2060 26545 5417 4017 2575 1751 1 1 M 11639 P 15 5 3 M 1 M 103 309 M M 1 5 M 47728 26500 3 M ( 25 , 95481 ) ( 45 , 53045 ) P 515 4 9 103 13 _____________________________________________________________________________ 11782 1546 ( 2 , 1195058 ) 597528 597530 M 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 554 0 1 1 _____________________________________________________________________________ 11783 1547 ( 1 , 2393209 ) 11785 1547 ( 13 , 184093 ) 11784 11786 11787 11788 11789 11790 11791 11792 11793 11794 11795 1547 1547 1547 1547 1547 1547 1547 1547 1547 1547 1547 1196604 1196605 ( 7 , 341887 ) 170940 170947 ( 17 , 140777 ) 70380 70397 92040 M 92053 24445 P ( 119 , 20111 ) 9996 10115 M 5304 5525 ( 169 , 14161 ) ( 221 , 10829 ) 6996 13195 4285 P ( 833 , 2873 ) 1020 1853 M ( 1183 , 2023 ) 1560 420 2197 1603 1 M 3996 1 M M 17 91 P ( 289 , 8281 ) ( 637 , 3757 ) 1 M 7165 1 13 M 24396 13104 7 M ( 49 , 48841 ) ( 91 , 26299 ) P 119 221 13 17 4 9 7 13 _____________________________________________________________________________ 11796 1548 ( 2 , 1198152 ) 11798 1548 ( 6 , 399384 ) 11797 11799 11800 11801 11802 11803 11804 11805 1548 1548 1548 1548 1548 1548 1548 1548 599075 599077 P ( 4 , 599076 ) 299536 299540 M ( 8 , 299538 ) 149765 149773 P ( 12 , 199692 ) ( 18 , 133128 ) 199689 99840 66555 199695 99852 66573 1 4 M 3 1 M M 12 ( 24 , 99846 ) 49911 49935 M 3 ( 54 , 44376 ) 22161 22215 M 3 ( 36 , 66564 ) ( 72 , 33282 ) 33264 16605 33300 16677 M M 9 36 9 555 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11806 1548 ( 86 , 27864 ) 13889 13975 11808 1548 ( 162 , 14792 ) 7315 7477 P 5439 5655 M 11807 11809 11810 11811 11812 11813 11814 11815 11816 11817 1548 1548 1548 1548 1548 1548 1548 1548 1548 1548 ( 108 , 22188 ) ( 172 , 13932 ) ( 216 , 11094 ) 11040 6880 M 11148 7052 43 M 12 1 M 172 3 ( 258 , 9288 ) 4515 4773 M 129 ( 344 , 6966 ) 3311 3655 M 43 ( 324 , 7396 ) ( 516 , 4644 ) ( 648 , 3698 ) ( 774 , 3096 ) ( 1032 , 2322 ) 3536 2064 1525 1161 645 3860 M 2580 4 M 2173 516 P 1935 1 M 1677 387 M 4 18 129 22 _____________________________________________________________________________ 11818 1549 ( 1 , 2399401 ) 1199700 1199701 P 1 0 1 1 _____________________________________________________________________________ 11819 1550 ( 2 , 1201250 ) 11821 1550 ( 50 , 48050 ) 24000 ( 250 , 9610 ) 4680 4930 M 336 1586 M 11820 11822 11823 11824 11825 1550 1550 1550 1550 1550 ( 10 , 240250 ) ( 62 , 38750 ) ( 310 , 7750 ) ( 1250 , 1922 ) 600624 120120 19344 3720 600626 120130 24050 19406 4030 M M 2 M 50 M 10 M 10 62 310 0 7 2 7 _____________________________________________________________________________ 11826 1551 ( 1 , 2405601 ) 1202800 1202801 P 1 556 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11827 1551 ( 3 , 801867 ) 11829 1551 ( 11 , 218691 ) 11828 11830 11831 11832 11833 11834 11835 11836 11837 11838 1551 1551 1551 1551 1551 1551 1551 1551 1551 1551 ( 9 , 267289 ) 400932 133640 109340 400935 M 133649 P 109351 ( 33 , 72897 ) 36432 36465 M ( 99 , 24299 ) 12100 12199 M ( 47 , 51183 ) ( 121 , 19881 ) ( 141 , 17061 ) 25568 9880 8460 25615 1 M 33 M 10001 8601 3 47 11 P 1 M 141 ( 363 , 6627 ) 3132 3495 M 3 ( 517 , 4653 ) 2068 2585 M 517 ( 423 , 5687 ) ( 1089 , 2209 ) 2632 560 3055 M 1649 11 47 P 4 9 1 13 _____________________________________________________________________________ 11839 1552 ( 2 , 1204352 ) 11841 1552 ( 8 , 301088 ) 11840 11842 11843 11844 11845 11846 11847 11848 1552 1552 1552 1552 1552 1552 1552 1552 602175 602177 ( 4 , 602176 ) 301086 301090 ( 16 , 150544 ) 75264 75280 150540 37620 37652 ( 128 , 18818 ) 9345 9473 ( 194 , 12416 ) ( 388 , 6208 ) ( 776 , 3104 ) 18786 6111 2910 1164 18850 6305 3298 1940 1 M 150548 ( 32 , 75272 ) ( 64 , 37636 ) P 2 M 4 M M 4 M P 1 M 2 2 97 M M 16 194 8 388 10 _____________________________________________________________________________ 11849 1553 ( 1 , 2411809 ) 1205904 1205905 P 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 557 1 0 1 _____________________________________________________________________________ 11850 1554 ( 2 , 1207458 ) 11852 1554 ( 14 , 172494 ) 11851 11853 11854 11855 11856 11857 11858 11859 11860 11861 11862 1554 1554 1554 1554 1554 1554 1554 1554 1554 1554 1554 603728 603730 ( 6 , 402486 ) 201240 201246 ( 18 , 134162 ) 67072 67090 86240 M 2 M 86254 6 M 14 M 2 ( 42 , 57498 ) 28728 28770 M 42 ( 98 , 24642 ) 12272 12370 M 2 ( 74 , 32634 ) ( 126 , 19166 ) ( 222 , 10878 ) 16280 16354 9520 M 9646 5328 74 M 5550 14 M 222 ( 294 , 8214 ) 3960 4254 M 6 ( 666 , 3626 ) 1480 2146 M 74 ( 518 , 4662 ) ( 882 , 2738 ) 2072 928 2590 M 1810 518 M 2 0 13 13 _____________________________________________________________________________ 11863 1555 ( 1 , 2418025 ) 11865 1555 ( 25 , 96721 ) 11864 11866 1555 1555 ( 5 , 483605 ) ( 311 , 7775 ) 1209012 241800 48348 3732 1209013 241805 48373 4043 M P M 2 P 1 2 5 1 311 4 _____________________________________________________________________________ 11867 1556 ( 2 , 1210568 ) 11869 1556 ( 8 , 302642 ) 11868 11870 1556 1556 605283 ( 4 , 605284 ) 302640 ( 778 , 3112 ) 1167 151317 605285 302644 151325 1945 M P 1 M P 4 389 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 558 2 2 4 _____________________________________________________________________________ 11871 1557 ( 1 , 2424249 ) 11873 1557 ( 9 , 269361 ) 11872 11874 11875 11876 11877 1557 1557 1557 1557 1557 1212124 1212125 ( 3 , 808083 ) 404040 ( 27 , 89787 ) 44880 44907 ( 173 , 14013 ) 6920 7093 ( 81 , 29929 ) ( 519 , 4671 ) 134676 14924 2076 404043 134685 M 15005 2595 M P M 9 3 P 1 M M 3 1 173 2 5 519 7 _____________________________________________________________________________ 11878 1558 ( 2 , 1213682 ) 11880 1558 ( 82 , 29602 ) 11879 11881 1558 1558 606840 ( 38 , 63878 ) 31920 ( 722 , 3362 ) 1320 14760 606842 31958 14842 2042 M M M 38 M 0 2 4 2 82 4 _____________________________________________________________________________ 11882 1559 ( 1 , 2430481 ) 1215240 1215241 P 1 0 1 1 _____________________________________________________________________________ 11883 1560 ( 2 , 1216800 ) 11885 1560 ( 6 , 405600 ) 11884 11886 11887 11888 11889 1560 1560 1560 1560 1560 608399 608401 P 1 ( 4 , 608400 ) 304198 304202 M 2 ( 8 , 304200 ) 152096 152104 M 8 ( 10 , 243360 ) ( 12 , 202800 ) ( 16 , 152100 ) 202797 121675 101394 76042 202803 121685 101406 76058 M M M M 3 5 2 6 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 559 11890 1560 ( 18 , 135200 ) 67591 67609 P 11892 1560 ( 24 , 101400 ) 50688 50712 M 11891 11893 11894 11895 11896 11897 11898 11899 11900 11901 11902 11903 11904 11905 11906 11907 11908 11909 11910 11911 11912 11913 11914 11915 11916 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 ( 20 , 121680 ) 60830 60850 M ( 26 , 93600 ) 46787 46813 M ( 32 , 76050 ) 38009 38041 P ( 30 , 81120 ) ( 36 , 67600 ) ( 40 , 60840 ) ( 48 , 50700 ) ( 50 , 48672 ) ( 52 , 46800 ) ( 60 , 40560 ) ( 72 , 33800 ) ( 78 , 31200 ) ( 80 , 30420 ) ( 90 , 27040 ) ( 96 , 25350 ) ( 100 , 24336 ) ( 104 , 23400 ) ( 120 , 20280 ) ( 130 , 18720 ) ( 144 , 16900 ) ( 150 , 16224 ) ( 156 , 15600 ) ( 160 , 15210 ) ( 180 , 13520 ) ( 200 , 12168 ) 40545 33782 30400 25326 24311 23374 20250 16864 15561 15170 13475 12627 12118 11648 10080 40575 33818 30440 25374 24361 23426 20310 16936 15639 15250 13565 12723 12218 M M M P M 6670 5984 6850 6184 40 6 1 26 30 8 39 10 5 M 3 M M M 7685 2 M 8187 7525 1 M 8037 7878 15 M M 7722 13 M 9425 8522 24 M 9295 8378 10 M 11752 10200 1 M M M M M M 2 104 65 2 3 78 5 10 8 120 560 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11917 1560 ( 208 , 11700 ) 5746 5954 M 26 11919 1560 ( 240 , 10140 ) 4950 5190 M 30 11918 11920 11921 11922 11923 11924 11925 11926 11927 11928 11929 11930 11931 11932 11933 11934 11935 11936 11937 11938 11939 11940 11941 11942 11943 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 1560 ( 234 , 10400 ) 5083 5317 M ( 260 , 9360 ) 4550 4810 M ( 300 , 8112 ) 3906 4206 M ( 288 , 8450 ) ( 312 , 7800 ) ( 338 , 7200 ) ( 360 , 6760 ) ( 390 , 6240 ) ( 400 , 6084 ) ( 416 , 5850 ) ( 450 , 5408 ) ( 468 , 5200 ) ( 480 , 5070 ) ( 520 , 4680 ) ( 600 , 4056 ) ( 624 , 3900 ) ( 650 , 3744 ) ( 676 , 3600 ) ( 720 , 3380 ) ( 780 , 3120 ) ( 800 , 3042 ) ( 900 , 2704 ) ( 936 , 2600 ) ( 1014 , 2400 ) ( 1040 , 2340 ) 4081 3744 3431 3200 2925 2842 2717 2479 2366 2295 2080 1728 1638 1547 1462 1330 1170 1121 902 832 693 650 4369 4056 3769 3560 3315 3242 3133 2929 2834 2775 2600 2328 2262 2197 2138 2050 1950 1921 1802 1768 1707 1690 P M P M M M M P M M M M M M M M M P M M M M 13 130 1 6 312 1 40 195 2 13 1 26 15 520 24 78 13 2 10 390 1 2 104 3 130 561 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11944 1560 ( 1170 , 2080 ) 455 1625 M 65 11946 1560 ( 1248 , 1950 ) 351 1599 M 39 11945 11947 11948 11949 1560 1560 1560 1560 ( 1200 , 2028 ) ( 1300 , 1872 ) ( 1352 , 1800 ) ( 1440 , 1690 ) 414 286 224 125 1614 M 1586 6 M 1576 26 M 1565 8 M 8 59 5 67 _____________________________________________________________________________ 11950 1561 ( 1 , 2436721 ) 11952 1561 ( 49 , 49729 ) 11951 11953 1561 1561 ( 7 , 348103 ) ( 223 , 10927 ) 1218360 174048 24840 5352 1218361 174055 24889 P 5575 M M 2 P 7 1 2 1 223 4 _____________________________________________________________________________ 11954 1562 ( 2 , 1219922 ) 11956 1562 ( 142 , 17182 ) 11955 11957 1562 1562 609960 ( 22 , 110902 ) 55440 ( 242 , 10082 ) 4920 8520 609962 55462 8662 M 5162 M M 2 22 142 M 0 4 2 4 _____________________________________________________________________________ 11958 1563 ( 1 , 2442969 ) 11960 1563 ( 9 , 271441 ) 11959 11961 1563 1563 1221484 ( 3 , 814323 ) 407160 ( 521 , 4689 ) 2084 135716 1221485 407163 135725 2605 M M P P 2 2 3 521 1 1 4 _____________________________________________________________________________ 11962 1564 ( 2 , 1223048 ) 611523 611525 P 1 562 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11963 1564 ( 4 , 611524 ) 305760 11965 1564 ( 34 , 71944 ) 35955 35989 M ( 68 , 35972 ) 17952 18020 M 11964 11966 11967 11968 11969 11970 11971 11972 11973 11974 1564 1564 1564 1564 1564 1564 1564 1564 1564 1564 ( 8 , 305762 ) ( 46 , 53176 ) ( 92 , 26588 ) ( 136 , 17986 ) ( 184 , 13294 ) 152877 26565 13248 8925 6555 305764 152885 26611 4 P 1 17 M 13340 23 68 M 9061 6739 M 92 M 17 M ( 578 , 4232 ) 1827 2405 P 1 ( 1058 , 2312 ) 627 1685 P 1 ( 782 , 3128 ) ( 1156 , 2116 ) 1173 480 1955 M 1636 23 391 M 4 9 4 13 _____________________________________________________________________________ 11975 1565 ( 1 , 2449225 ) 11977 1565 ( 25 , 97969 ) 11976 11978 1565 1565 ( 5 , 489845 ) ( 313 , 7825 ) 1224612 244920 48972 3756 1224613 244925 48997 4069 M P M 2 P 5 1 2 1 313 4 _____________________________________________________________________________ 11979 1566 ( 2 , 1226178 ) 11981 1566 ( 18 , 136242 ) 11980 11982 11983 11984 11985 1566 1566 1566 1566 1566 613088 613090 ( 6 , 408726 ) 204360 ( 54 , 45414 ) 22680 22734 ( 162 , 15138 ) 7488 7650 ( 58 , 42282 ) ( 174 , 14094 ) 68112 21112 6960 M 204366 68130 21170 7134 2 M M M M M M 6 18 54 58 18 174 563 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 11986 1566 ( 486 , 5046 ) 2280 2766 M 6 11988 1566 ( 1458 , 1682 ) 112 1570 M 2 11987 1566 ( 522 , 4698 ) 2088 2610 M 522 0 10 10 _____________________________________________________________________________ 11989 1567 ( 1 , 2455489 ) 1227744 1227745 P 1 0 1 1 _____________________________________________________________________________ 11990 1568 ( 2 , 1229312 ) 11992 1568 ( 8 , 307328 ) 11991 11993 11994 11995 11996 11997 11998 11999 12000 12001 12002 12003 12004 12005 12006 12007 12008 1568 1568 1568 1568 1568 1568 1568 1568 1568 1568 1568 1568 1568 1568 1568 1568 1568 614655 614657 ( 4 , 614656 ) 307326 307330 ( 14 , 175616 ) 87801 87815 ( 16 , 153664 ) 153660 76824 P 1 M 153668 2 M 4 M 76840 7 M 8 ( 28 , 87808 ) 43890 43918 M 14 ( 56 , 43904 ) 21924 21980 M 28 ( 32 , 76832 ) ( 64 , 38416 ) ( 98 , 25088 ) ( 112 , 21952 ) ( 128 , 19208 ) ( 196 , 12544 ) ( 224 , 10976 ) 38400 19176 12495 10920 38432 M 19240 M 12593 11032 9668 M 5376 5600 M 6370 8 M 9540 6174 32 49 M 4 M 98 224 ( 256 , 9604 ) 4674 4930 M 2 ( 448 , 5488 ) 2520 2968 M 56 ( 392 , 6272 ) ( 512 , 4802 ) ( 686 , 3584 ) 2940 2145 1449 3332 2657 2135 M P M 56 196 1 7 564 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12009 1568 ( 784 , 3136 ) 1176 12011 1568 ( 1372 , 1792 ) 210 12010 1568 ( 896 , 2744 ) 924 1960 M 1820 392 M 1582 28 M 2 20 14 22 _____________________________________________________________________________ 12012 1569 ( 1 , 2461761 ) 12014 1569 ( 9 , 273529 ) 12013 12015 1569 1569 1230880 ( 3 , 820587 ) 410292 ( 523 , 4707 ) 2092 136760 1230881 410295 136769 2615 M P P M 2 2 3 1 1 523 4 _____________________________________________________________________________ 12016 1570 ( 2 , 1232450 ) 12018 1570 ( 50 , 49298 ) 12017 12019 1570 1570 ( 10 , 246490 ) ( 314 , 7850 ) 616224 123240 24624 3768 616226 123250 24674 4082 M M 2 M M 0 10 2 4 314 4 _____________________________________________________________________________ 12020 1571 ( 1 , 2468041 ) 1234020 1234021 P 1 0 1 1 _____________________________________________________________________________ 12021 1572 ( 2 , 1235592 ) 12023 1572 ( 6 , 411864 ) 12022 12024 12025 12026 12027 1572 1572 1572 1572 1572 617795 617797 P ( 4 , 617796 ) 308896 308900 M ( 8 , 308898 ) 154445 154453 P ( 12 , 205932 ) ( 18 , 137288 ) ( 24 , 102966 ) 205929 102960 68635 51471 205935 102972 68653 51495 M P M M 1 4 3 1 1 3 12 565 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12028 1572 ( 36 , 68644 ) 34304 12030 1572 ( 262 , 9432 ) 4585 4847 M 1179 1965 M 12029 12031 12032 12033 1572 1572 1572 1572 ( 72 , 34322 ) ( 524 , 4716 ) ( 786 , 3144 ) ( 1048 , 2358 ) 17125 2096 655 34340 17197 2620 M 4 P 1 131 M 1703 M 524 393 4 9 131 13 _____________________________________________________________________________ 12034 1573 ( 1 , 2474329 ) 12036 1573 ( 13 , 190333 ) 12035 12037 12038 12039 12040 1573 1573 1573 1573 1573 1237164 ( 11 , 224939 ) 112464 ( 121 , 20449 ) 10164 ( 143 , 17303 ) ( 169 , 14641 ) ( 1331 , 1859 ) 95160 8580 7236 264 1237165 112475 95173 10285 8723 7405 1595 M M M P 11 13 M 121 143 P M 1 1 2 5 11 7 _____________________________________________________________________________ 12041 1574 ( 2 , 1238738 ) 619368 619370 M 0 1 1 2 _____________________________________________________________________________ 12042 1575 ( 1 , 2480625 ) 12044 1575 ( 5 , 496125 ) 12043 12045 12046 12047 12048 1575 1575 1575 1575 1575 1240312 1240313 ( 3 , 826875 ) 413436 413439 M ( 7 , 354375 ) 177184 177191 M ( 9 , 275625 ) ( 15 , 165375 ) ( 21 , 118125 ) 248060 137808 82680 59052 248065 137817 82695 59073 M M M M P 3 5 7 9 15 21 1 566 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12049 1575 ( 25 , 99225 ) 49600 49625 M 25 12051 1575 ( 35 , 70875 ) 35420 35455 M 35 12050 12052 12053 12054 12055 12056 12057 12058 12059 12060 12061 12062 12063 12064 12065 12066 12067 12068 12069 12070 12071 12072 12073 12074 12075 1575 1575 1575 1575 1575 1575 1575 1575 1575 1575 1575 1575 1575 1575 1575 1575 1575 1575 1575 1575 1575 1575 1575 1575 1575 ( 27 , 91875 ) ( 45 , 55125 ) ( 49 , 50625 ) ( 63 , 39375 ) ( 75 , 33075 ) ( 81 , 30625 ) ( 105 , 23625 ) ( 125 , 19845 ) ( 135 , 18375 ) ( 147 , 16875 ) ( 175 , 14175 ) ( 189 , 13125 ) ( 225 , 11025 ) ( 245 , 10125 ) 45924 27540 25288 19656 16500 15272 11760 45951 M 27585 M 25337 19719 16575 15353 11865 1 5 8511 M 4940 9255 M M 7175 3 175 M 5625 21 M M 225 5 ( 315 , 7875 ) 3780 4095 M 315 ( 405 , 6125 ) 2860 3265 M 5 ( 375 , 6615 ) ( 441 , 5625 ) ( 525 , 4725 ) ( 567 , 4375 ) ( 625 , 3969 ) ( 675 , 3675 ) ( 735 , 3375 ) ( 875 , 2835 ) ( 945 , 2625 ) 3120 2592 2100 1904 1672 1500 1320 980 840 3495 3033 2625 2471 2297 2175 2055 1855 1785 M M M M P M M M M 105 15 M 6657 5185 75 P 8364 5400 63 M M 6468 1 M 9985 7000 45 P 9860 9120 3 15 9 525 7 1 75 15 35 105 567 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12076 1575 ( 1125 , 2205 ) 540 1665 M 45 12078 1575 ( 1323 , 1875 ) 276 1599 M 3 12077 1575 ( 1225 , 2025 ) 400 1625 M 25 4 33 37 _____________________________________________________________________________ 12079 1576 ( 2 , 1241888 ) 12081 1576 ( 8 , 310472 ) 12080 12082 12083 12084 12085 1576 1576 1576 1576 1576 620943 620945 ( 4 , 620944 ) 310470 310474 ( 16 , 155236 ) 77610 77626 155232 ( 32 , 77618 ) 38793 ( 788 , 3152 ) 1182 ( 394 , 6304 ) 2955 P M 155240 38825 3349 1970 1 2 M 8 M M P M 1 2 197 2 5 394 7 _____________________________________________________________________________ 12086 1577 ( 1 , 2486929 ) 12088 1577 ( 83 , 29963 ) 12087 12089 1577 1577 ( 19 , 130891 ) ( 361 , 6889 ) 1243464 65436 14940 3264 1243465 65455 15023 3625 P P M M 2 2 19 1 1 83 4 _____________________________________________________________________________ 12090 1578 ( 2 , 1245042 ) 12092 1578 ( 18 , 138338 ) 12091 12093 1578 1578 622520 ( 6 , 415014 ) 207504 ( 526 , 4734 ) 2104 69160 622522 207510 69178 2630 M M 2 M 6 M 0 4 526 2 4 _____________________________________________________________________________ 12094 1579 ( 1 , 2493241 ) 1246620 1246621 P 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 568 1 0 1 _____________________________________________________________________________ 12095 1580 ( 2 , 1248200 ) 12097 1580 ( 8 , 312050 ) 12096 12098 12099 12100 12101 12102 12103 12104 12105 12106 12107 1580 1580 1580 1580 1580 1580 1580 1580 1580 1580 1580 ( 4 , 624100 ) ( 10 , 249640 ) ( 20 , 124820 ) ( 40 , 62410 ) ( 50 , 49928 ) ( 100 , 24964 ) ( 158 , 15800 ) ( 200 , 12482 ) 624099 312048 156021 124815 62400 31185 24939 12432 7821 6141 624101 P 312052 M 156029 62420 M 31225 6341 1 M M 24989 7979 4 P 124825 12532 1 5 P M 1 M 79 P 3792 4108 M 316 ( 790 , 3160 ) 1185 1975 M 395 1659 2291 20 4 1 ( 316 , 7900 ) ( 632 , 3950 ) 5 M 79 4 9 13 _____________________________________________________________________________ 12108 1581 ( 1 , 2499561 ) 12110 1581 ( 9 , 277729 ) 12109 12111 12112 12113 12114 12115 12116 12117 1581 1581 1581 1581 1581 1581 1581 1581 1249780 1249781 ( 3 , 833187 ) 416592 416595 ( 17 , 147033 ) 73508 73525 138860 138869 M P 3 P 1 M 17 ( 31 , 80631 ) 40300 40331 M 31 ( 93 , 26877 ) 13392 13485 M 93 ( 51 , 49011 ) ( 153 , 16337 ) ( 279 , 8959 ) ( 289 , 8649 ) 24480 8092 4340 4180 24531 8245 4619 4469 M M M P 51 17 31 1 1 569 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12118 1581 ( 527 , 4743 ) 2108 12120 1581 ( 961 , 2601 ) 820 12119 1581 ( 867 , 2883 ) 1008 2635 M 1875 527 M 1781 P 4 9 1 3 13 _____________________________________________________________________________ 12121 1582 ( 2 , 1251362 ) 12123 1582 ( 98 , 25538 ) 12122 12124 1582 1582 ( 14 , 178766 ) ( 226 , 11074 ) 625680 89376 12720 5424 625682 89390 12818 5650 M M 2 M 2 M 0 4 14 226 4 _____________________________________________________________________________ 12125 1583 ( 1 , 2505889 ) 1252944 1252945 P 1 0 1 1 _____________________________________________________________________________ 12126 1584 ( 2 , 1254528 ) 12128 1584 ( 6 , 418176 ) 12127 12129 12130 12131 12132 12133 12134 12135 12136 12137 12138 1584 1584 1584 1584 1584 1584 1584 1584 1584 1584 1584 627263 627265 P 1 ( 4 , 627264 ) 313630 313634 M 2 ( 8 , 313632 ) 156812 156820 M 4 ( 12 , 209088 ) ( 16 , 156816 ) ( 18 , 139392 ) ( 22 , 114048 ) ( 24 , 104544 ) 209085 104538 209091 104550 M 78400 78416 M 57013 57035 M 69687 52260 69705 52284 3 M 6 16 M M 9 11 12 ( 32 , 78408 ) 39188 39220 M 4 ( 44 , 57024 ) 28490 28534 M 22 ( 36 , 69696 ) ( 48 , 52272 ) 34830 26112 34866 26160 M M 18 48 570 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12139 1584 ( 54 , 46464 ) 23205 23259 M 3 12141 1584 ( 66 , 38016 ) 18975 19041 M 33 12140 12142 12143 12144 12145 12146 12147 12148 12149 12150 12151 12152 12153 12154 12155 12156 12157 12158 12159 12160 12161 12162 12163 12164 12165 1584 1584 1584 1584 1584 1584 1584 1584 1584 1584 1584 1584 1584 1584 1584 1584 1584 1584 1584 1584 1584 1584 1584 1584 1584 ( 64 , 39204 ) ( 72 , 34848 ) ( 88 , 28512 ) ( 96 , 26136 ) ( 108 , 23232 ) ( 128 , 19602 ) ( 132 , 19008 ) ( 144 , 17424 ) ( 162 , 15488 ) ( 176 , 14256 ) ( 192 , 13068 ) ( 198 , 12672 ) ( 216 , 11616 ) ( 242 , 10368 ) 19570 17388 14212 13020 11562 19634 M 17460 M 14300 9865 P 8640 8784 M 7663 7040 6438 6237 5700 5063 9570 7825 7216 6630 6435 5916 5305 44 M 9737 9438 36 M 13116 11670 2 M P M M M M P M 12 1 66 144 1 176 6 99 12 1 ( 264 , 9504 ) 4620 4884 M 132 ( 324 , 7744 ) 3710 4034 M 2 ( 288 , 8712 ) ( 352 , 7128 ) ( 384 , 6534 ) ( 396 , 6336 ) ( 432 , 5808 ) ( 484 , 5184 ) ( 528 , 4752 ) ( 576 , 4356 ) ( 594 , 4224 ) 4212 3388 3075 2970 2688 2350 2112 1890 1815 4500 3740 3459 3366 3120 2834 2640 2466 2409 M M M M M M M M M 6 36 44 3 198 48 2 528 18 33 571 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12166 1584 ( 648 , 3872 ) 1612 2260 M 4 12168 1584 ( 726 , 3456 ) 1365 2091 M 3 12167 12169 12170 12171 12172 12173 12174 12175 12176 12177 1584 1584 1584 1584 1584 1584 1584 1584 1584 1584 ( 704 , 3564 ) ( 792 , 3168 ) ( 864 , 2904 ) ( 968 , 2592 ) ( 1056 , 2376 ) ( 1152 , 2178 ) ( 1188 , 2112 ) ( 1296 , 1936 ) ( 1408 , 1782 ) ( 1452 , 1728 ) 1430 2134 1188 1020 812 660 M 1980 M 1884 462 320 187 138 396 M 1780 513 22 12 M 1716 4 M 1665 132 M 1650 9 M 1616 66 M 1595 16 M 1590 11 M 4 48 6 52 _____________________________________________________________________________ 12178 1585 ( 1 , 2512225 ) 12180 1585 ( 25 , 100489 ) 12179 12181 1585 1585 1256112 ( 5 , 502445 ) 251220 ( 317 , 7925 ) 3804 50232 1256113 251225 50257 4121 M P P M 2 1 2 5 1 317 4 _____________________________________________________________________________ 12182 1586 ( 2 , 1257698 ) 12184 1586 ( 122 , 20618 ) 12183 12185 1586 1586 628848 ( 26 , 96746 ) 48360 ( 338 , 7442 ) 3552 10248 628850 48386 10370 3890 M M M 26 M 0 4 2 2 122 4 _____________________________________________________________________________ 12186 1587 ( 1 , 2518569 ) 1259284 1259285 P 1 572 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12187 1587 ( 3 , 839523 ) 419760 419763 12189 1587 ( 23 , 109503 ) 54740 54763 12188 12190 12191 12192 1587 1587 1587 1587 ( 9 , 279841 ) 139916 ( 69 , 36501 ) 18216 ( 529 , 4761 ) 2116 ( 207 , 12167 ) 5980 M 139925 P 2645 1 M 18285 6187 3 23 M 69 M M 23 2 5 529 7 _____________________________________________________________________________ 12193 1588 ( 2 , 1260872 ) 12195 1588 ( 8 , 315218 ) 12194 12196 1588 1588 630435 ( 4 , 630436 ) 315216 ( 794 , 3176 ) 1191 157605 630437 P 315220 157613 1985 1 M 4 P M 2 2 1 397 4 _____________________________________________________________________________ 12197 1589 ( 1 , 2524921 ) 12199 1589 ( 49 , 51529 ) 12198 12200 1589 1589 ( 7 , 360703 ) ( 227 , 11123 ) 1262460 180348 25740 5448 1262461 180355 25789 5675 P M M 2 P 7 1 2 1 227 4 _____________________________________________________________________________ 12201 1590 ( 2 , 1264050 ) 12203 1590 ( 10 , 252810 ) 12202 12204 12205 12206 12207 1590 1590 1590 1590 1590 632024 632026 ( 6 , 421350 ) 210672 210678 ( 18 , 140450 ) 70216 70234 126400 126410 M 2 M M 6 M 2 ( 30 , 84270 ) 42120 42150 M 30 ( 90 , 28090 ) 14000 14090 M 10 ( 50 , 50562 ) 25256 25306 M 2 10 573 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12208 1590 ( 106 , 23850 ) 12210 1590 ( 318 , 7950 ) 3816 4134 M 318 ( 530 , 4770 ) 2120 2650 M 530 12209 12211 12212 12213 1590 1590 1590 1590 ( 150 , 16854 ) ( 450 , 5618 ) ( 954 , 2650 ) 11872 11978 8352 8502 2584 848 M 3034 M 6 M 1802 106 2 M 106 0 13 13 _____________________________________________________________________________ 12214 1591 ( 1 , 2531281 ) 12216 1591 ( 43 , 58867 ) 12215 12217 1591 1591 1265640 ( 37 , 68413 ) 34188 ( 1369 , 1849 ) 240 29412 1265641 34225 29455 1609 P M P M 2 2 1 37 1 43 4 _____________________________________________________________________________ 12218 1592 ( 2 , 1267232 ) 12220 1592 ( 8 , 316808 ) 12219 12221 12222 12223 12224 1592 1592 1592 1592 1592 633615 633617 ( 4 , 633616 ) 316806 316810 ( 16 , 158404 ) 79194 79210 158400 ( 32 , 79202 ) 39585 ( 796 , 3184 ) 1194 ( 398 , 6368 ) 2985 P M 158408 39617 3383 1990 1 2 M 8 M M P M 1 2 199 2 5 398 7 _____________________________________________________________________________ 12225 1593 ( 1 , 2537649 ) 12227 1593 ( 9 , 281961 ) 12226 12228 1593 1593 1268824 ( 3 , 845883 ) 422940 ( 27 , 93987 ) 46980 140976 1268825 422943 140985 47007 M M M P 3 27 9 1 574 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12229 1593 ( 59 , 43011 ) 21476 21535 12231 1593 ( 177 , 14337 ) 7080 7257 12230 12232 12233 12234 1593 1593 1593 1593 ( 81 , 31329 ) ( 243 , 10443 ) ( 531 , 4779 ) ( 729 , 3481 ) 15624 5100 2124 1376 M 15705 5343 2655 2105 59 M 9 M 177 M 3 M P 531 2 8 1 10 _____________________________________________________________________________ 12235 1594 ( 2 , 1270418 ) 635208 635210 M 0 1 2 1 _____________________________________________________________________________ 12236 1595 ( 1 , 2544025 ) 12238 1595 ( 11 , 231275 ) 12237 12239 12240 12241 12242 12243 12244 12245 12246 12247 12248 1595 1595 1595 1595 1595 1595 1595 1595 1595 1595 1595 1272012 1272013 ( 5 , 508805 ) 254400 254405 ( 25 , 101761 ) 50868 50893 ( 29 , 87725 ) ( 55 , 46255 ) ( 121 , 21025 ) ( 145 , 17545 ) 115632 43848 23100 10452 8700 M 115643 P 43877 5 M 1 M 23155 M P 1 145 4488 4763 M 11 ( 605 , 4205 ) 1800 2405 M 5 ( 725 , 3509 ) ( 841 , 3025 ) 3828 1392 1092 4147 2117 1933 M 319 M P 11 55 ( 275 , 9251 ) ( 319 , 7975 ) 1 29 M 10573 8845 P 29 4 9 1 13 _____________________________________________________________________________ 12249 1596 ( 2 , 1273608 ) 636803 636805 P 1 575 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12250 1596 ( 4 , 636804 ) 318400 318404 M 12252 1596 ( 8 , 318402 ) 159197 159205 P 1 7 12251 12253 12254 12255 12256 12257 12258 12259 12260 12261 12262 12263 12264 12265 12266 12267 12268 12269 12270 12271 12272 12273 12274 12275 12276 1596 1596 1596 1596 1596 1596 1596 1596 1596 1596 1596 1596 1596 1596 1596 1596 1596 1596 1596 1596 1596 1596 1596 1596 1596 ( 6 , 424536 ) ( 12 , 212268 ) ( 14 , 181944 ) ( 18 , 141512 ) ( 24 , 106134 ) 212265 106128 212271 M 106140 90965 90979 M 53055 53079 M 70747 4 70765 3 M P 1 3 ( 28 , 90972 ) 45472 45500 M 28 ( 38 , 67032 ) 33497 33535 M 19 ( 36 , 70756 ) ( 42 , 60648 ) ( 56 , 45486 ) ( 72 , 35378 ) ( 76 , 33516 ) ( 84 , 30324 ) ( 98 , 25992 ) ( 114 , 22344 ) ( 126 , 20216 ) ( 152 , 16758 ) ( 168 , 15162 ) ( 196 , 12996 ) ( 228 , 11172 ) ( 252 , 10108 ) 35360 30303 22715 17653 16720 15120 12947 11115 10045 35396 M 30345 16796 13045 6400 6596 M 5180 1 M M 4928 84 P 11229 5700 76 M 8455 5472 1 M 15204 7665 7 P 8303 7497 21 M 17725 10171 4 M 22771 M 19 M 4 28 4655 4921 M 133 ( 342 , 7448 ) 3553 3895 M 19 ( 392 , 6498 ) 4185 3053 4479 3445 M P 7 228 ( 266 , 9576 ) ( 294 , 8664 ) 57 21 M M 12 3 1 576 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12277 1596 ( 456 , 5586 ) 2565 3021 M 57 12279 1596 ( 532 , 4788 ) 2128 2660 M 532 12278 12280 12281 12282 12283 12284 12285 12286 12287 12288 1596 1596 1596 1596 1596 1596 1596 1596 1596 1596 ( 504 , 5054 ) ( 588 , 4332 ) ( 684 , 3724 ) ( 722 , 3528 ) ( 798 , 3192 ) ( 882 , 2888 ) ( 1064 , 2394 ) ( 1176 , 2166 ) ( 1368 , 1862 ) ( 1444 , 1764 ) 2275 1872 1520 1403 1197 1003 665 495 247 160 2779 M 2460 7 M 2204 12 M 2125 1995 76 P 1 P 1 M 1885 1729 M 1615 M 1671 399 133 M 1604 3 19 M 8 32 4 40 _____________________________________________________________________________ 12289 1597 ( 1 , 2550409 ) 1275204 1275205 P 1 0 1 1 _____________________________________________________________________________ 12290 1598 ( 2 , 1276802 ) 12292 1598 ( 94 , 27166 ) 12291 12293 1598 1598 638400 ( 34 , 75106 ) 37536 ( 578 , 4418 ) 1920 13536 638402 37570 13630 2498 M M M 34 M 0 2 4 2 94 4 _____________________________________________________________________________ 12294 1599 ( 1 , 2556801 ) 12296 1599 ( 9 , 284089 ) 12295 12297 1599 1599 1278400 1278401 ( 3 , 852267 ) 426132 426135 ( 13 , 196677 ) 98332 98345 142040 142049 M P M P 3 1 13 1 577 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12298 1599 ( 39 , 65559 ) 12300 1599 ( 117 , 21853 ) 12299 12301 12302 12303 12304 12305 12306 1599 1599 1599 1599 1599 1599 1599 ( 41 , 62361 ) ( 123 , 20787 ) ( 169 , 15129 ) 32760 31160 10868 10332 7480 32799 M 31201 39 M 10985 41 M 10455 7649 13 M P 123 1 ( 369 , 6929 ) 3280 3649 M 41 ( 533 , 4797 ) 2132 2665 M 533 ( 507 , 5043 ) ( 1521 , 1681 ) 2268 80 2775 1601 M P 3 4 9 1 13 _____________________________________________________________________________ 12307 1600 ( 2 , 1280000 ) 12309 1600 ( 8 , 320000 ) 12308 12310 12311 12312 12313 12314 12315 12316 12317 12318 12319 12320 12321 12322 1600 1600 1600 1600 1600 1600 1600 1600 1600 1600 1600 1600 1600 1600 ( 4 , 640000 ) ( 10 , 256000 ) ( 16 , 160000 ) ( 20 , 128000 ) 639999 319998 159996 127995 79992 63990 640001 P 320002 M 160004 2 M 128005 80008 64010 1 M 4 M 8 M 10 ( 32 , 80000 ) 39984 40016 M 16 ( 50 , 51200 ) 25575 25625 M 25 ( 40 , 64000 ) ( 64 , 40000 ) ( 80 , 32000 ) ( 100 , 25600 ) ( 128 , 20000 ) ( 160 , 16000 ) ( 200 , 12800 ) ( 250 , 10240 ) 31980 19968 15960 12750 32020 20032 16040 12850 9936 10064 6300 6500 7920 4995 M 20 M 64 M 40 M M 50 16 8080 M 80 5245 M 5 M 5 100 578 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12323 1600 ( 256 , 10000 ) 12325 1600 ( 400 , 6400 ) 12324 12326 12327 12328 12329 12330 12331 12332 12333 1600 1600 1600 1600 1600 1600 1600 1600 1600 4872 5128 M 8 ( 320 , 8000 ) 3840 4160 M 320 ( 500 , 5120 ) 2310 2810 M 10 ( 512 , 5000 ) ( 640 , 4000 ) ( 800 , 3200 ) ( 1000 , 2560 ) ( 1024 , 2500 ) ( 1250 , 2048 ) ( 1280 , 2000 ) 3000 2244 1680 1200 780 738 399 360 3400 M 2756 200 M 2320 4 M 2000 80 M 1780 M 1649 P 1762 400 20 M 1640 2 1 M 2 25 40 27 _____________________________________________________________________________ 12334 1601 ( 1 , 2563201 ) 1281600 1281601 P 1 0 1 1 _____________________________________________________________________________ 12335 1602 ( 2 , 1283202 ) 12337 1602 ( 18 , 142578 ) 12336 12338 12339 12340 12341 1602 1602 1602 1602 1602 641600 ( 6 , 427734 ) 213864 ( 54 , 47526 ) 23736 ( 178 , 14418 ) 7120 ( 162 , 15842 ) ( 534 , 4806 ) 71280 7840 2136 641602 M 213870 M 71298 23790 8002 7298 2670 2 6 M M M 2 M M 6 18 178 0 7 534 7 _____________________________________________________________________________ 12342 12343 1603 1603 ( 1 , 2569609 ) ( 7 , 367087 ) 1284804 183540 1284805 183547 M P 7 1 579 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12344 12345 1603 1603 ( 49 , 52441 ) ( 229 , 11221 ) 26196 26245 5496 P 5725 1 M 2 2 229 4 _____________________________________________________________________________ 12346 1604 ( 2 , 1286408 ) 12348 1604 ( 8 , 321602 ) 12347 12349 1604 1604 643203 ( 4 , 643204 ) 321600 ( 802 , 3208 ) 1203 643205 P 321604 160797 160805 2005 1 M 4 P M 2 2 401 1 4 _____________________________________________________________________________ 12350 1605 ( 1 , 2576025 ) 12352 1605 ( 5 , 515205 ) 12351 12353 12354 12355 12356 12357 12358 12359 12360 12361 12362 1605 1605 1605 1605 1605 1605 1605 1605 1605 1605 1605 1288012 1288013 ( 3 , 858675 ) 429336 429339 M ( 9 , 286225 ) 143108 143117 P ( 15 , 171735 ) ( 25 , 103041 ) ( 45 , 57245 ) ( 75 , 34347 ) ( 107 , 24075 ) ( 225 , 11449 ) 257600 85860 51508 28600 17136 11984 5612 ( 321 , 8025 ) 3852 ( 963 , 2675 ) 856 ( 535 , 4815 ) 2140 257605 1 5 M 12091 1819 15 M 17211 2675 1 P 28645 P 3 M 1 M 107 321 M M 1 5 M 51533 4173 3 M 85875 5837 P 535 4 9 107 13 _____________________________________________________________________________ 12363 12364 1606 1606 ( 2 , 1289618 ) ( 22 , 117238 ) 644808 58608 644810 58630 M M 2 22 580 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12365 12366 1606 1606 ( 146 , 17666 ) ( 242 , 10658 ) 8760 5208 8906 M 5450 146 M 0 2 4 4 _____________________________________________________________________________ 12367 1607 ( 1 , 2582449 ) 1291224 1291225 P 1 0 1 1 _____________________________________________________________________________ 12368 1608 ( 2 , 1292832 ) 12370 1608 ( 6 , 430944 ) 12369 12371 12372 12373 12374 12375 12376 12377 12378 12379 12380 12381 12382 12383 12384 12385 12386 12387 1608 1608 1608 1608 1608 1608 1608 1608 1608 1608 1608 1608 1608 1608 1608 1608 1608 1608 646415 646417 P 1 ( 4 , 646416 ) 323206 323210 M 2 ( 8 , 323208 ) 161600 161608 M 8 ( 12 , 215472 ) ( 16 , 161604 ) ( 18 , 143648 ) ( 24 , 107736 ) 215469 107730 215475 M 107742 80794 80810 M 53856 53880 M 71815 71833 40385 40417 P ( 48 , 53868 ) 26910 26958 M ( 72 , 35912 ) ( 96 , 26934 ) ( 134 , 19296 ) ( 144 , 17956 ) 35894 17920 13419 9581 8906 35930 9715 9050 M M ( 402 , 6432 ) 3015 3417 M ( 536 , 4824 ) ( 804 , 3216 ) 2144 1206 2680 2010 2 6 8 3 M 4958 4633 1 M 4690 4345 1 M ( 268 , 9648 ) ( 288 , 8978 ) 2 M 17992 13515 M P ( 32 , 80802 ) ( 36 , 71824 ) 3 P M M 67 2 134 1 201 536 402 6 24 581 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12388 12389 1608 1608 ( 1072 , 2412 ) ( 1206 , 2144 ) 670 469 1742 M 1675 M 134 4 18 67 22 _____________________________________________________________________________ 12390 1609 ( 1 , 2588881 ) 1294440 1294441 P 1 0 1 1 _____________________________________________________________________________ 12391 1610 ( 2 , 1296050 ) 12393 1610 ( 14 , 185150 ) 12392 12394 12395 12396 12397 12398 12399 12400 12401 12402 12403 1610 1610 1610 1610 1610 1610 1610 1610 1610 1610 1610 ( 10 , 259210 ) 648024 129600 92568 648026 M 129610 92582 M 2 M 10 14 ( 46 , 56350 ) 28152 28198 M 46 ( 70 , 37030 ) 18480 18550 M 70 ( 50 , 51842 ) ( 98 , 26450 ) ( 230 , 11270 ) 25896 13176 5520 25946 13274 5750 M 2 M 2 M 230 ( 322 , 8050 ) 3864 4186 M 322 ( 490 , 5290 ) 2400 2890 M 10 ( 350 , 7406 ) ( 1058 , 2450 ) ( 1150 , 2254 ) 3528 696 552 3878 M 1754 14 M 1702 2 M 0 13 46 13 _____________________________________________________________________________ 12404 1611 ( 1 , 2595321 ) 12406 1611 ( 9 , 288369 ) 12405 12407 12408 1611 1611 1611 1297660 ( 3 , 865107 ) 432552 ( 27 , 96123 ) 48048 ( 81 , 32041 ) 144180 15980 1297661 432555 144189 48075 16061 M P M M P 3 3 1 9 1 582 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12409 12410 1611 1611 ( 179 , 14499 ) ( 537 , 4833 ) 7160 2148 7339 2685 M M 179 2 5 537 7 _____________________________________________________________________________ 12411 1612 ( 2 , 1299272 ) 12413 1612 ( 8 , 324818 ) 12412 12414 12415 12416 12417 12418 12419 12420 12421 12422 12423 1612 1612 1612 1612 1612 1612 1612 1612 1612 1612 1612 649635 649637 P ( 4 , 649636 ) 324816 ( 26 , 99944 ) 49959 49985 M ( 62 , 41912 ) 20925 20987 M ( 52 , 49972 ) ( 104 , 24986 ) ( 124 , 20956 ) ( 248 , 10478 ) 162405 24960 12441 10416 5115 324820 M 162413 25012 10540 M 3675 4013 P ( 806 , 3224 ) 1209 2015 M ( 1352 , 1922 ) 1584 285 2260 P 1 13 52 31 M ( 338 , 7688 ) ( 676 , 3844 ) 4 M 12545 5363 1 13 M 1 M 1637 P 31 124 4 403 4 9 1 13 _____________________________________________________________________________ 12424 1613 ( 1 , 2601769 ) 1300884 1300885 P 1 0 1 1 _____________________________________________________________________________ 12425 1614 ( 2 , 1302498 ) 12427 1614 ( 18 , 144722 ) 12426 12428 1614 1614 651248 ( 6 , 434166 ) 217080 ( 538 , 4842 ) 2152 72352 651250 217086 72370 2690 M M 2 M 6 M 0 4 538 2 4 583 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 12429 1615 ( 1 , 2608225 ) 12431 1615 ( 17 , 153425 ) 12430 12432 12433 12434 12435 12436 12437 12438 12439 12440 12441 1615 1615 1615 1615 1615 1615 1615 1615 1615 1615 1615 1304112 1304113 ( 5 , 521645 ) 260820 260825 ( 19 , 137275 ) 68628 68647 ( 25 , 104329 ) 76704 52152 76721 M 52177 P 15300 ( 289 , 9025 ) 4368 4657 P 3432 3793 P ( 323 , 8075 ) ( 361 , 7225 ) ( 425 , 6137 ) ( 475 , 5491 ) ( 1445 , 1805 ) 13680 3876 2856 2508 180 15385 13775 4199 3281 2983 1625 5 19 1 M 85 M 95 1 M 323 1 M 17 M M 1 17 M ( 85 , 30685 ) ( 95 , 27455 ) M P 19 4 9 5 13 _____________________________________________________________________________ 12442 1616 ( 2 , 1305728 ) 12444 1616 ( 8 , 326432 ) 12443 12445 12446 12447 12448 12449 12450 12451 1616 1616 1616 1616 1616 1616 1616 1616 652863 652865 ( 4 , 652864 ) 326430 326434 ( 16 , 163216 ) 81600 81616 ( 32 , 81608 ) ( 64 , 40804 ) ( 128 , 20402 ) ( 202 , 12928 ) ( 404 , 6464 ) ( 808 , 3232 ) 163212 40788 20370 10137 6363 3030 1212 P M 163220 3434 2020 4 M 20434 6565 2 M 40820 10265 1 M 4 P 1 M M 2 101 M M 16 2 202 8 404 10 584 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 12452 1617 ( 1 , 2614689 ) 12454 1617 ( 7 , 373527 ) 12453 12455 12456 12457 12458 12459 12460 12461 12462 12463 12464 12465 12466 12467 12468 12469 12470 12471 12472 12473 1617 1617 1617 1617 1617 1617 1617 1617 1617 1617 1617 1617 1617 1617 1617 1617 1617 1617 1617 1617 1307344 1307345 ( 3 , 871563 ) 435780 435783 M ( 9 , 290521 ) 145256 145265 P ( 11 , 237699 ) ( 21 , 124509 ) 186760 118844 62244 186767 P 3 M 118855 62265 M 7 1 M 39600 39633 M 33 ( 63 , 41503 ) 20720 20783 M 7 ( 77 , 33957 ) ( 99 , 26411 ) ( 121 , 21609 ) ( 147 , 17787 ) ( 231 , 11319 ) 26656 16940 13156 10744 8820 5544 26705 M 17017 77 M 10865 8967 5775 49 M 13255 M 11 P 1 147 M 231 ( 343 , 7623 ) 3640 3983 M 7 ( 441 , 5929 ) 2744 3185 M 49 ( 363 , 7203 ) ( 539 , 4851 ) ( 693 , 3773 ) ( 847 , 3087 ) ( 1029 , 2541 ) ( 1089 , 2401 ) 3420 2156 1540 1120 756 656 3783 2695 2233 1967 1785 1745 M 3 M 539 M 77 M 7 M P 11 21 ( 33 , 79233 ) ( 49 , 53361 ) 1 21 4 18 1 22 _____________________________________________________________________________ 12474 1618 ( 2 , 1308962 ) 654480 654482 0 M 1 1 2 585 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 12475 1619 ( 1 , 2621161 ) 1310580 1310581 P 1 0 1 1 _____________________________________________________________________________ 12476 1620 ( 2 , 1312200 ) 12478 1620 ( 6 , 437400 ) 12477 12479 12480 12481 12482 12483 12484 12485 12486 12487 12488 12489 12490 12491 12492 12493 12494 12495 12496 12497 12498 1620 1620 1620 1620 1620 1620 1620 1620 1620 1620 1620 1620 1620 1620 1620 1620 1620 1620 1620 1620 1620 656099 656101 P ( 4 , 656100 ) 328048 328052 M ( 8 , 328050 ) 164021 164029 P ( 10 , 262440 ) ( 12 , 218700 ) ( 18 , 145800 ) ( 20 , 131220 ) ( 24 , 109350 ) 218697 131215 109344 218703 4 M 131225 3 1 M 109356 72891 72909 M 54663 54687 M 65600 1 65620 M 9 M 3 43725 43755 M 15 ( 40 , 65610 ) 32785 32825 M 5 ( 50 , 52488 ) ( 54 , 48600 ) ( 60 , 43740 ) ( 72 , 36450 ) ( 90 , 29160 ) ( 100 , 26244 ) ( 108 , 24300 ) ( 120 , 21870 ) ( 150 , 17496 ) ( 162 , 16200 ) ( 180 , 14580 ) 36432 26219 24273 21840 18189 14535 13072 12096 10875 36468 26269 24327 21900 18261 14625 13172 M P M 10995 27 60 9 M 45 M 4 M 8823 M 7200 7380 M 8181 1 M 8673 8019 36 M 12204 M M 12 20 ( 30 , 87480 ) ( 36 , 72900 ) 5 108 3 81 15 180 586 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12499 1620 ( 200 , 13122 ) 12501 1620 ( 270 , 9720 ) 4725 4995 M 135 ( 324 , 8100 ) 3888 4212 M 324 12500 12502 12503 12504 12505 12506 12507 12508 12509 12510 12511 12512 12513 12514 12515 1620 1620 1620 1620 1620 1620 1620 1620 1620 1620 1620 1620 1620 1620 1620 ( 216 , 12150 ) ( 300 , 8748 ) ( 360 , 7290 ) ( 450 , 5832 ) ( 486 , 5400 ) ( 540 , 4860 ) ( 600 , 4374 ) ( 648 , 4050 ) ( 810 , 3240 ) ( 900 , 2916 ) ( 972 , 2700 ) ( 1080 , 2430 ) ( 1350 , 1944 ) ( 1458 , 1800 ) 6461 6661 5967 6183 4224 864 675 1836 297 171 1755 3 M 2025 1908 540 M 2349 1215 27 M 2487 1701 9 M 2700 1887 45 M 2943 2160 12 M 3141 2457 27 M 3825 2691 1 M 4524 3465 1008 P 81 M 405 M 36 M 108 M 1647 135 M 1629 M 27 4 36 9 40 _____________________________________________________________________________ 12516 1621 ( 1 , 2627641 ) 1313820 1313821 P 1 0 1 1 _____________________________________________________________________________ 12517 1622 ( 2 , 1315442 ) 657720 657722 0 M 1 1 2 _____________________________________________________________________________ 12518 12519 1623 1623 ( 1 , 2634129 ) ( 3 , 878043 ) 1317064 439020 1317065 439023 M P 3 1 587 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12520 12521 1623 1623 ( 9 , 292681 ) ( 541 , 4869 ) 146336 2164 146345 2705 M P 2 541 2 1 4 _____________________________________________________________________________ 12522 1624 ( 2 , 1318688 ) 12524 1624 ( 8 , 329672 ) 12523 12525 12526 12527 12528 12529 12530 12531 12532 12533 12534 12535 12536 12537 12538 12539 12540 12541 12542 12543 1624 1624 1624 1624 1624 1624 1624 1624 1624 1624 1624 1624 1624 1624 1624 1624 1624 1624 1624 1624 659343 659345 ( 4 , 659344 ) 329670 329674 ( 14 , 188384 ) 94185 94199 ( 16 , 164836 ) 164832 82410 P M 164840 82426 M ( 56 , 47096 ) 23520 23576 M ( 98 , 26912 ) ( 112 , 23548 ) ( 116 , 22736 ) ( 196 , 13456 ) ( 224 , 11774 ) ( 232 , 11368 ) 22707 13407 11718 11310 41225 2 14 P 22765 1 56 M 13505 29 P 11830 1 M 11426 6630 6826 M 5568 5800 M 5775 7 M 47110 ( 58 , 45472 ) 8 M 47082 41193 2 M ( 28 , 94192 ) ( 32 , 82418 ) 1 5999 M 2 M 232 3168 3560 M 8 ( 464 , 5684 ) 2610 3074 M 58 ( 784 , 3364 ) ( 812 , 3248 ) ( 928 , 2842 ) ( 1568 , 1682 ) 3045 1290 1218 957 57 3451 2074 2030 1885 1625 M 203 M 2 M 406 M P 58 7 ( 392 , 6728 ) ( 406 , 6496 ) 14 29 4 1 18 22 588 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 12544 1625 ( 1 , 2640625 ) 12546 1625 ( 13 , 203125 ) 12545 12547 12548 12549 12550 12551 12552 12553 1625 1625 1625 1625 1625 1625 1625 1625 1320312 1320313 ( 5 , 528125 ) 264060 264065 ( 25 , 105625 ) 52800 52825 101556 101569 ( 65 , 40625 ) 20280 20345 ( 169 , 15625 ) 7728 7897 ( 125 , 21125 ) 10500 M M P 5 M 13 25 M 10625 P 65 M 125 1 ( 325 , 8125 ) 3900 4225 M 325 ( 845 , 3125 ) 1140 1985 M 5 ( 625 , 4225 ) 1800 2425 1 M 25 2 8 10 _____________________________________________________________________________ 12554 1626 ( 2 , 1321938 ) 12556 1626 ( 18 , 146882 ) 12555 12557 1626 1626 660968 ( 6 , 440646 ) 220320 ( 542 , 4878 ) 2168 73432 660970 M 220326 73450 2710 2 M 6 M M 0 4 542 2 4 _____________________________________________________________________________ 12558 1627 ( 1 , 2647129 ) 1323564 1323565 P 1 0 1 1 _____________________________________________________________________________ 12559 1628 ( 2 , 1325192 ) 12561 1628 ( 8 , 331298 ) 12560 12562 12563 1628 1628 1628 662595 662597 ( 4 , 662596 ) 331296 331300 ( 22 , 120472 ) 60225 60247 ( 44 , 60236 ) 165645 30096 165653 30140 P M P M M 1 4 1 11 44 589 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12564 1628 ( 74 , 35816 ) 17871 17945 12566 1628 ( 148 , 17908 ) 8880 9028 12565 12567 12568 12569 12570 12571 1628 1628 1628 1628 1628 1628 ( 88 , 30118 ) ( 242 , 10952 ) 15015 M 15103 5355 37 M 11 M 5597 148 P 1 ( 296 , 8954 ) 4329 4625 M 37 ( 814 , 3256 ) 1221 2035 M 407 ( 484 , 5476 ) ( 968 , 2738 ) 2496 885 2980 M 1853 4 P 4 9 1 13 _____________________________________________________________________________ 12572 1629 ( 1 , 2653641 ) 12574 1629 ( 9 , 294849 ) 12573 12575 12576 12577 12578 1629 1629 1629 1629 1629 1326820 1326821 ( 3 , 884547 ) 442272 ( 27 , 98283 ) 49128 49155 ( 181 , 14661 ) 7240 7421 ( 81 , 32761 ) ( 543 , 4887 ) 147420 16340 2172 442275 147429 M 16421 2715 M P M 3 P 9 1 M M 3 1 181 2 5 543 7 _____________________________________________________________________________ 12579 1630 ( 2 , 1328450 ) 12581 1630 ( 50 , 53138 ) 12580 12582 1630 1630 ( 10 , 265690 ) ( 326 , 8150 ) 664224 132840 26544 3912 664226 132850 26594 4238 M M M 2 M 0 2 4 10 326 4 _____________________________________________________________________________ 12583 12584 1631 1631 ( 1 , 2660161 ) ( 7 , 380023 ) 1330080 190008 1330081 190015 M P 7 1 590 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12585 12586 1631 1631 ( 49 , 54289 ) ( 233 , 11417 ) 27120 5592 27169 5825 P 1 M 2 2 233 4 _____________________________________________________________________________ 12587 1632 ( 2 , 1331712 ) 12589 1632 ( 6 , 443904 ) 12588 12590 12591 12592 12593 12594 12595 12596 12597 12598 12599 12600 12601 12602 12603 12604 12605 12606 12607 12608 12609 1632 1632 1632 1632 1632 1632 1632 1632 1632 1632 1632 1632 1632 1632 1632 1632 1632 1632 1632 1632 1632 665855 665857 P 1 ( 4 , 665856 ) 332926 332930 M 2 ( 8 , 332928 ) 166460 166468 M 4 ( 12 , 221952 ) ( 16 , 166464 ) ( 18 , 147968 ) ( 24 , 110976 ) 221949 110970 221955 M 110982 83224 83240 M 55476 55500 M 73975 73993 3 M 8 P 1 12 ( 32 , 83232 ) 41600 41632 M 32 ( 36 , 73984 ) 36974 37010 M 2 ( 34 , 78336 ) ( 48 , 55488 ) ( 64 , 41616 ) ( 68 , 39168 ) ( 72 , 36992 ) ( 96 , 27744 ) ( 102 , 26112 ) ( 128 , 20808 ) ( 136 , 19584 ) ( 144 , 18496 ) ( 192 , 13872 ) ( 204 , 13056 ) ( 256 , 10404 ) 39151 27720 20776 19550 18460 13824 13005 10340 39185 27768 20840 19618 18532 13920 13107 10468 M M 5330 96 M 7032 5074 4 M 6840 6630 34 M M 6426 8 M 9860 9320 24 M 9724 9176 17 M M M M M 6 51 68 4 8 24 102 2 591 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12610 1632 ( 272 , 9792 ) 4760 5032 M 136 12612 1632 ( 306 , 8704 ) 4199 4505 M 17 12611 12613 12614 12615 12616 12617 12618 12619 12620 12621 12622 12623 12624 12625 12626 1632 1632 1632 1632 1632 1632 1632 1632 1632 1632 1632 1632 1632 1632 1632 ( 288 , 9248 ) ( 384 , 6936 ) ( 408 , 6528 ) ( 512 , 5202 ) ( 544 , 4896 ) ( 576 , 4624 ) ( 578 , 4608 ) ( 612 , 4352 ) ( 768 , 3468 ) ( 816 , 3264 ) ( 1088 , 2448 ) ( 1152 , 2312 ) ( 1156 , 2304 ) ( 1224 , 2176 ) ( 1536 , 1734 ) 4480 4768 3276 3660 3060 580 99 6 M 1768 M 1730 M 1732 574 34 M 2040 680 1 M 2118 1224 8 P 2482 1350 544 M 2593 1870 1 M 2600 2015 204 P 2720 2024 12 M 2857 2176 32 M 3468 2345 476 M 408 136 M 1700 4 2 M 1635 68 M 3 4 36 40 _____________________________________________________________________________ 12627 1633 ( 1 , 2666689 ) 12629 1633 ( 71 , 37559 ) 12628 12630 1633 1633 ( 23 , 115943 ) ( 529 , 5041 ) 1333344 57960 18744 2256 1333345 57983 18815 2785 P P M M 2 2 23 1 1 71 4 _____________________________________________________________________________ 12631 12632 1634 1634 ( 2 , 1334978 ) ( 38 , 70262 ) 667488 35112 667490 35150 M M 38 2 592 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12633 12634 1634 1634 ( 86 , 31046 ) ( 722 , 3698 ) 15480 15566 1488 2210 M M 0 4 2 86 4 _____________________________________________________________________________ 12635 1635 ( 1 , 2673225 ) 12637 1635 ( 5 , 534645 ) 12636 12638 12639 12640 12641 12642 12643 12644 12645 12646 12647 1635 1635 1635 1635 1635 1635 1635 1635 1635 1635 1635 1336612 1336613 ( 3 , 891075 ) 445536 445539 M ( 9 , 297025 ) 148508 148517 P ( 15 , 178215 ) ( 25 , 106929 ) ( 45 , 59405 ) ( 75 , 35643 ) ( 109 , 24525 ) ( 225 , 11881 ) 267320 89100 17784 3924 ( 981 , 2725 ) 872 2180 6053 P 4251 2725 1853 1 5 M 12317 5828 15 M 17859 12208 1 P 29725 3 M 1 M 109 327 M M 1 5 M 53477 29680 3 M 89115 53452 ( 327 , 8175 ) ( 545 , 4905 ) 267325 P 545 4 9 109 13 _____________________________________________________________________________ 12648 1636 ( 2 , 1338248 ) 12650 1636 ( 8 , 334562 ) 12649 12651 1636 1636 669123 ( 4 , 669124 ) 334560 ( 818 , 3272 ) 1227 167277 669125 P 334564 167285 2045 M 1 M 4 P 2 2 409 1 4 _____________________________________________________________________________ 12652 1637 ( 1 , 2679769 ) 1339884 1339885 1 P 0 1 1 593 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 12653 1638 ( 2 , 1341522 ) 12655 1638 ( 14 , 191646 ) 12654 12656 12657 12658 12659 12660 12661 12662 12663 12664 12665 12666 12667 12668 12669 12670 12671 12672 12673 12674 1638 1638 1638 1638 1638 1638 1638 1638 1638 1638 1638 1638 1638 1638 1638 1638 1638 1638 1638 1638 670760 670762 ( 6 , 447174 ) 223584 223590 ( 18 , 149058 ) 74520 74538 ( 26 , 103194 ) 95816 51584 M 2 M 6 95830 M 14 51610 M 26 M 18 ( 42 , 63882 ) 31920 31962 M 42 ( 78 , 34398 ) 17160 17238 M 78 ( 54 , 49686 ) ( 98 , 27378 ) ( 126 , 21294 ) ( 162 , 16562 ) ( 182 , 14742 ) ( 234 , 11466 ) 24816 13640 10584 24870 M 13738 M 10710 8200 8362 M 5616 5850 M 7280 6 7462 2 M 2 M 182 234 ( 294 , 9126 ) 4416 4710 M 6 ( 378 , 7098 ) 3360 3738 M 42 ( 338 , 7938 ) ( 546 , 4914 ) ( 702 , 3822 ) ( 882 , 3042 ) ( 1014 , 2646 ) ( 1134 , 2366 ) ( 1274 , 2106 ) 3800 2184 1560 1080 816 616 416 4138 2730 2262 1962 M 546 M 78 M M 1690 M 1750 2 M 1830 126 18 6 M 14 0 22 26 22 _____________________________________________________________________________ 12675 12676 1639 1639 ( 1 , 2686321 ) ( 11 , 244211 ) 1343160 122100 1343161 122111 M P 1 11 594 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12677 12678 1639 1639 ( 121 , 22201 ) ( 149 , 18029 ) 11040 8940 11161 9089 M P 1 2 149 2 4 _____________________________________________________________________________ 12679 1640 ( 2 , 1344800 ) 12681 1640 ( 8 , 336200 ) 12680 12682 12683 12684 12685 12686 12687 12688 12689 12690 12691 12692 12693 12694 12695 12696 12697 12698 12699 12700 1640 1640 1640 1640 1640 1640 1640 1640 1640 1640 1640 1640 1640 1640 1640 1640 1640 1640 1640 1640 ( 4 , 672400 ) ( 10 , 268960 ) ( 16 , 168100 ) ( 20 , 134480 ) 672399 336198 168096 134475 84042 67230 672401 P 336202 1 M 168104 2 M 134485 84058 M 67250 8 M 2 M ( 32 , 84050 ) 42009 42041 P 1 ( 50 , 53792 ) 26871 26921 P 1 ( 40 , 67240 ) ( 80 , 33620 ) ( 82 , 32800 ) ( 100 , 26896 ) ( 160 , 16810 ) ( 164 , 16400 ) ( 200 , 13448 ) 33600 16770 16359 13398 33640 M 16850 13498 8485 M 6624 6824 M 8118 8282 10 M 8325 41 M 5 M 8 3936 4264 M 328 ( 410 , 6560 ) 3075 3485 M 205 ( 656 , 4100 ) ( 800 , 3362 ) ( 820 , 3280 ) ( 1312 , 2050 ) 3162 1722 1281 1230 369 3562 2378 2081 2050 1681 M 2 M 82 P 1 M M 2 82 ( 328 , 8200 ) ( 400 , 6724 ) 10 40 M 16441 5 410 4 18 41 22 595 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 12701 1641 ( 1 , 2692881 ) 12703 1641 ( 9 , 299209 ) 12702 12704 1641 1641 1346440 ( 3 , 897627 ) 448812 ( 547 , 4923 ) 2188 149600 1346441 448815 149609 2735 M P 3 P M 2 1 547 2 1 4 _____________________________________________________________________________ 12705 1642 ( 2 , 1348082 ) 674040 674042 M 0 1 2 1 _____________________________________________________________________________ 12706 1643 ( 1 , 2699449 ) 12708 1643 ( 53 , 50933 ) 12707 12709 1643 1643 1349724 ( 31 , 87079 ) 43524 ( 961 , 2809 ) 924 25440 1349725 43555 25493 1885 P M P M 2 2 1 31 1 53 4 _____________________________________________________________________________ 12710 1644 ( 2 , 1351368 ) 12712 1644 ( 6 , 450456 ) 12711 12713 12714 12715 12716 12717 12718 12719 12720 1644 1644 1644 1644 1644 1644 1644 1644 1644 675683 675685 P ( 4 , 675684 ) 337840 337844 M ( 8 , 337842 ) 168917 168925 P ( 12 , 225228 ) ( 18 , 150152 ) ( 24 , 112614 ) 225225 112608 75067 56295 ( 36 , 75076 ) 37520 ( 274 , 9864 ) 4795 ( 72 , 37538 ) ( 548 , 4932 ) 18733 2192 225231 75085 56319 2740 P M 37556 5069 4 M 112620 18805 1 M M M P 3 1 M 1 4 1 137 548 3 12 596 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12721 12722 1644 1644 ( 822 , 3288 ) ( 1096 , 2466 ) 1233 685 2055 M 1781 M 411 4 9 137 13 _____________________________________________________________________________ 12723 1645 ( 1 , 2706025 ) 12725 1645 ( 7 , 386575 ) 12724 12726 12727 12728 12729 12730 12731 12732 12733 12734 12735 1645 1645 1645 1645 1645 1645 1645 1645 1645 1645 1645 1353012 1353013 ( 5 , 541205 ) 270600 270605 ( 25 , 108241 ) 54108 54133 193284 M 193291 P 38640 38675 M ( 49 , 55225 ) 27588 27637 P ( 175 , 15463 ) ( 235 , 11515 ) ( 245 , 11045 ) 28764 28811 1 M 1 M 7 5400 5645 M 5 5875 3948 4277 ( 1225 , 2209 ) 492 1717 564 1739 7 47 7819 5640 1 35 7644 ( 329 , 8225 ) ( 1175 , 2303 ) 5 M ( 35 , 77315 ) ( 47 , 57575 ) P M 235 M 329 M 47 P 4 9 1 13 _____________________________________________________________________________ 12736 1646 ( 2 , 1354658 ) 677328 677330 M 0 1 1 2 _____________________________________________________________________________ 12737 1647 ( 1 , 2712609 ) 12739 1647 ( 9 , 301401 ) 12738 12740 12741 1647 1647 1647 1356304 1356305 ( 3 , 904203 ) 452100 452103 ( 27 , 100467 ) 50220 50247 ( 61 , 44469 ) 150696 22204 150705 22265 M M M M P 3 9 27 61 1 597 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12742 1647 ( 81 , 33489 ) 16704 12744 1647 ( 243 , 11163 ) 5460 12743 12745 12746 1647 1647 1647 ( 183 , 14823 ) ( 549 , 4941 ) ( 729 , 3721 ) 7320 2196 1496 16785 M 7503 5703 2745 2225 9 M 183 M 3 M P 549 2 8 1 10 _____________________________________________________________________________ 12747 1648 ( 2 , 1357952 ) 12749 1648 ( 8 , 339488 ) 12748 12750 12751 12752 12753 12754 12755 12756 1648 1648 1648 1648 1648 1648 1648 1648 678975 678977 ( 4 , 678976 ) 339486 339490 ( 16 , 169744 ) 84864 84880 ( 32 , 84872 ) ( 64 , 42436 ) ( 128 , 21218 ) ( 206 , 13184 ) ( 412 , 6592 ) ( 824 , 3296 ) 169740 42420 21186 10545 6489 3090 1236 P M 169748 16 M 4 P 1 M 10673 2060 4 M 21250 3502 2 M 42452 6695 1 M 2 103 M M 206 2 8 412 10 _____________________________________________________________________________ 12757 1649 ( 1 , 2719201 ) 12759 1649 ( 97 , 28033 ) 12758 12760 1649 1649 ( 17 , 159953 ) ( 289 , 9409 ) 1359600 79968 13968 4560 1359601 79985 14065 4849 P P M M 2 2 17 1 1 97 4 _____________________________________________________________________________ 12761 12762 1650 1650 ( 2 , 1361250 ) ( 6 , 453750 ) 680624 226872 680626 226878 M M 2 6 598 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12763 1650 ( 10 , 272250 ) 136120 12765 1650 ( 22 , 123750 ) 61864 12764 12766 12767 12768 12769 12770 12771 12772 12773 12774 12775 12776 12777 12778 12779 12780 12781 12782 1650 1650 1650 1650 1650 1650 1650 1650 1650 1650 1650 1650 1650 1650 1650 1650 1650 1650 ( 18 , 151250 ) 136130 75616 75634 M 61886 M 2 M 22 ( 30 , 90750 ) 45360 45390 M 30 ( 66 , 41250 ) 20592 20658 M 66 ( 50 , 54450 ) ( 90 , 30250 ) ( 110 , 24750 ) ( 150 , 18150 ) ( 198 , 13750 ) ( 242 , 11250 ) ( 250 , 10890 ) 27200 27250 15080 M 15170 12320 9000 9150 M 5504 5746 M 6776 6974 5320 5570 50 M 12430 10 M 110 150 M 22 2 M 10 ( 330 , 8250 ) 3960 4290 M 330 ( 550 , 4950 ) 2200 2750 M 550 ( 450 , 6050 ) ( 726 , 3750 ) ( 750 , 3630 ) ( 990 , 2750 ) ( 1210 , 2250 ) ( 1250 , 2178 ) 2800 3250 1512 1440 880 520 M 2238 6 M 1870 464 50 M 2190 30 M 1730 110 M 1714 M 10 10 0 22 2 22 _____________________________________________________________________________ 12783 1651 ( 1 , 2725801 ) 12785 1651 ( 127 , 21463 ) 12784 12786 1651 1651 1362900 ( 13 , 209677 ) 104832 ( 169 , 16129 ) 7980 10668 1362901 104845 10795 8149 P M 2 M P 2 1 13 1 127 4 599 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 12787 1652 ( 2 , 1364552 ) 12789 1652 ( 8 , 341138 ) 12788 12790 12791 12792 12793 12794 12795 12796 12797 12798 12799 1652 1652 1652 1652 1652 1652 1652 1652 1652 1652 1652 682275 682277 ( 4 , 682276 ) 341136 341140 ( 14 , 194936 ) 97461 97475 170565 P 1 M 170573 4 P 1 M 7 ( 28 , 97468 ) 48720 48748 M ( 98 , 27848 ) 13875 13973 P 1 M 4 ( 56 , 48734 ) ( 118 , 23128 ) ( 196 , 13924 ) ( 236 , 11564 ) 24339 11505 6864 5664 24395 11623 7060 5900 M 3285 3677 P ( 826 , 3304 ) 1239 2065 M 2655 3127 7 M M ( 392 , 6962 ) ( 472 , 5782 ) 28 1 M 59 236 59 4 9 413 13 _____________________________________________________________________________ 12800 1653 ( 1 , 2732409 ) 12802 1653 ( 9 , 303601 ) 12801 12803 12804 12805 12806 12807 12808 12809 12810 1653 1653 1653 1653 1653 1653 1653 1653 1653 1366204 1366205 ( 3 , 910803 ) 455400 455403 ( 19 , 143811 ) 71896 71915 151796 151805 M P 3 P 1 M 19 ( 29 , 94221 ) 47096 47125 M 29 ( 87 , 31407 ) 15660 15747 M 87 ( 57 , 47937 ) ( 171 , 15979 ) ( 261 , 10469 ) ( 361 , 7569 ) ( 551 , 4959 ) 23940 7904 5104 3604 2204 23997 8075 5365 3965 2755 M 57 M M P M 19 1 29 551 1 600 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12811 12812 1653 1653 ( 841 , 3249 ) ( 1083 , 2523 ) 1204 720 2045 P 1803 M 1 4 9 3 13 _____________________________________________________________________________ 12813 1654 ( 2 , 1367858 ) 683928 683930 M 0 1 2 1 _____________________________________________________________________________ 12814 1655 ( 1 , 2739025 ) 12816 1655 ( 25 , 109561 ) 12815 12817 1655 1655 1369512 ( 5 , 547805 ) 273900 ( 331 , 8275 ) 3972 54768 1369513 273905 54793 4303 M M P P 2 1 2 5 1 331 4 _____________________________________________________________________________ 12818 1656 ( 2 , 1371168 ) 12820 1656 ( 6 , 457056 ) 12819 12821 12822 12823 12824 12825 12826 12827 12828 12829 12830 12831 1656 1656 1656 1656 1656 1656 1656 1656 1656 1656 1656 1656 685583 685585 P 1 ( 4 , 685584 ) 342790 342794 M 2 ( 8 , 342792 ) 171392 171400 M 8 ( 12 , 228528 ) ( 16 , 171396 ) ( 18 , 152352 ) ( 24 , 114264 ) 228525 114258 228531 114270 M 85690 85706 M 57120 57144 M 76167 76185 42833 42865 P ( 46 , 59616 ) 29785 29831 M ( 48 , 57132 ) ( 54 , 50784 ) ( 72 , 38088 ) 38070 28542 25365 19008 38106 28590 25419 19080 M 2 M ( 32 , 85698 ) ( 36 , 76176 ) 3 M M M M 9 1 24 18 23 6 3 6 72 601 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12832 1656 ( 92 , 29808 ) 12834 1656 ( 108 , 25392 ) 12833 12835 12836 12837 12838 12839 12840 12841 12842 12843 12844 12845 12846 12847 12848 12849 12850 12851 12852 12853 12854 1656 1656 1656 1656 1656 1656 1656 1656 1656 1656 1656 1656 1656 1656 1656 1656 1656 1656 1656 1656 1656 ( 96 , 28566 ) ( 138 , 19872 ) ( 144 , 19044 ) ( 162 , 16928 ) ( 184 , 14904 ) ( 216 , 12696 ) 14858 14235 12642 14950 14331 10005 8383 8545 7360 6240 3 M M 9594 M 7544 M 6456 46 M 12750 9867 9450 M 69 18 P 1 184 M 24 ( 276 , 9936 ) 4830 5106 M 138 ( 324 , 8464 ) 4070 4394 M 2 ( 288 , 9522 ) ( 368 , 7452 ) ( 414 , 6624 ) ( 432 , 6348 ) ( 552 , 4968 ) ( 648 , 4232 ) ( 736 , 3726 ) ( 828 , 3312 ) ( 864 , 3174 ) ( 1058 , 2592 ) ( 1104 , 2484 ) ( 1242 , 2208 ) ( 1296 , 2116 ) 4617 3542 3105 2958 2208 1792 1495 1242 1155 767 690 483 410 4905 3910 3519 3390 2760 2440 2231 2070 2019 M 207 M 6 M 552 M 8 M 23 M 414 M 1725 M 1706 46 M P 1794 9 M 1825 3 1 M M 6 138 69 4 33 2 37 _____________________________________________________________________________ 12855 1657 ( 1 , 2745649 ) 1372824 1372825 1 P 0 1 1 602 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 12856 1658 ( 2 , 1374482 ) 687240 687242 M 0 1 2 1 _____________________________________________________________________________ 12857 1659 ( 1 , 2752281 ) 12859 1659 ( 7 , 393183 ) 12858 12860 12861 12862 12863 12864 12865 12866 12867 12868 12869 1659 1659 1659 1659 1659 1659 1659 1659 1659 1659 1659 1376140 1376141 ( 3 , 917427 ) 458712 458715 M ( 9 , 305809 ) 152900 152909 P ( 21 , 131061 ) 196588 65520 196595 65541 28109 P ( 79 , 34839 ) 17380 17459 M ( 147 , 18723 ) ( 237 , 11613 ) 9288 5688 21875 5925 3341 P ( 711 , 3871 ) 1580 2291 M 2765 21 7 3 M 2900 2212 1 M ( 441 , 6241 ) ( 553 , 4977 ) 1 M 9435 1 7 M 28060 21812 3 M ( 49 , 56169 ) ( 63 , 43687 ) P 1 M 79 237 553 4 9 79 13 _____________________________________________________________________________ 12870 1660 ( 2 , 1377800 ) 12872 1660 ( 8 , 344450 ) 12871 12873 12874 12875 12876 12877 1660 1660 1660 1660 1660 1660 ( 4 , 688900 ) ( 10 , 275560 ) ( 20 , 137780 ) ( 40 , 68890 ) ( 50 , 55112 ) ( 100 , 27556 ) 688899 344448 172221 137775 68880 34425 27531 13728 688901 P 344452 M 172229 137785 68900 34465 27581 13828 1 4 P M M P M 1 M 5 1 5 20 4 603 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12878 1660 ( 166 , 16600 ) 12880 1660 ( 332 , 8300 ) 3984 4316 M 332 ( 830 , 3320 ) 1245 2075 M 415 12879 12881 12882 1660 1660 1660 ( 200 , 13778 ) ( 664 , 4150 ) 8217 6789 1743 8383 6989 2407 M 83 P 1 M 83 4 9 13 _____________________________________________________________________________ 12883 1661 ( 1 , 2758921 ) 12885 1661 ( 121 , 22801 ) 12884 12886 1661 1661 1379460 ( 11 , 250811 ) 125400 ( 151 , 18271 ) 9060 11340 1379461 125411 11461 9211 M P M 2 P 1 11 1 2 151 4 _____________________________________________________________________________ 12887 1662 ( 2 , 1381122 ) 12889 1662 ( 18 , 153458 ) 12888 12890 1662 1662 690560 ( 6 , 460374 ) 230184 ( 554 , 4986 ) 2216 76720 690562 230190 76738 2770 M M 2 M 6 M 0 4 554 2 4 _____________________________________________________________________________ 12891 1663 ( 1 , 2765569 ) 1382784 1382785 P 1 0 1 1 _____________________________________________________________________________ 12892 1664 ( 2 , 1384448 ) 12894 1664 ( 8 , 346112 ) 12893 12895 12896 1664 1664 1664 692223 692225 ( 4 , 692224 ) 346110 346114 ( 16 , 173056 ) 86520 86536 ( 26 , 106496 ) 173052 53235 173060 53261 P M M M M 1 2 4 8 13 604 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12897 1664 ( 32 , 86528 ) 43248 43280 M 16 12899 1664 ( 64 , 43264 ) 21600 21664 M 32 12898 12900 12901 12902 12903 12904 12905 12906 12907 12908 12909 12910 1664 1664 1664 1664 1664 1664 1664 1664 1664 1664 1664 1664 ( 52 , 53248 ) ( 104 , 26624 ) ( 128 , 21632 ) ( 208 , 13312 ) ( 256 , 10816 ) 26598 13260 10752 6552 5280 26650 M 13364 10880 6760 5536 M M 3927 4265 P ( 512 , 5408 ) 2448 2960 M ( 676 , 4096 ) ( 832 , 3328 ) ( 1024 , 2704 ) ( 1352 , 2048 ) 3120 1710 1248 840 348 3536 52 M 128 104 M ( 338 , 8192 ) ( 416 , 6656 ) 26 1 M 2386 208 16 M 2080 2 M 1864 416 M 1700 32 8 M 2 17 4 19 _____________________________________________________________________________ 12911 1665 ( 1 , 2772225 ) 12913 1665 ( 5 , 554445 ) 12912 12914 12915 12916 12917 12918 12919 12920 12921 1665 1665 1665 1665 1665 1665 1665 1665 1665 1386112 1386113 ( 3 , 924075 ) 462036 462039 M ( 9 , 308025 ) 154008 154017 M ( 15 , 184815 ) ( 25 , 110889 ) ( 27 , 102675 ) 277220 92400 55432 51324 277225 3 M 92415 M 51351 M 55457 P 5 9 15 P 1 3 ( 37 , 74925 ) 37444 37481 M 37 ( 75 , 36963 ) 18444 18519 M 3 ( 45 , 61605 ) ( 81 , 34225 ) 30780 17072 30825 17153 M P 45 1 1 605 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12922 1665 ( 111 , 24975 ) 12432 12924 1665 ( 185 , 14985 ) 7400 12923 12925 12926 12927 12928 12929 12930 12931 12932 1665 1665 1665 1665 1665 1665 1665 1665 1665 ( 135 , 20535 ) ( 225 , 12321 ) 12543 10200 10335 7585 6048 M M 6273 111 M 15 185 M 9 ( 333 , 8325 ) 3996 4329 M 333 ( 555 , 4995 ) 2220 2775 M 555 ( 405 , 6845 ) ( 675 , 4107 ) ( 925 , 2997 ) ( 999 , 2775 ) ( 1369 , 2025 ) 3220 3625 1716 1036 888 328 M 2391 5 M 1961 3 M 1887 37 M 1697 111 P 4 18 1 22 _____________________________________________________________________________ 12933 1666 ( 2 , 1387778 ) 12935 1666 ( 34 , 81634 ) 40800 40834 ( 238 , 11662 ) 5712 5950 12934 12936 12937 12938 12939 1666 1666 1666 1666 1666 ( 14 , 198254 ) ( 98 , 28322 ) ( 578 , 4802 ) ( 686 , 4046 ) 693888 99120 14112 2112 1680 693890 99134 2366 2 14 M 14210 2690 M M 34 M 98 M 238 M M 2 0 7 14 7 _____________________________________________________________________________ 12940 1667 ( 1 , 2778889 ) 1389444 1389445 P 1 0 1 1 _____________________________________________________________________________ 12941 12942 1668 1668 ( 2 , 1391112 ) ( 4 , 695556 ) 695555 347776 695557 347780 P M 1 4 606 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12943 1668 ( 6 , 463704 ) 12945 1668 ( 12 , 231852 ) 12944 12946 12947 12948 12949 12950 12951 12952 12953 1668 1668 1668 1668 1668 1668 1668 1668 1668 ( 8 , 347778 ) ( 18 , 154568 ) ( 24 , 115926 ) 231849 173885 115920 77275 57951 231855 173893 77293 38660 ( 278 , 10008 ) 4865 5143 19285 P 57975 38624 3 P 115932 ( 36 , 77284 ) ( 72 , 38642 ) M 1 M 1 M M 19357 4 P M 139 2224 2780 M 556 ( 1112 , 2502 ) 695 1807 M 139 1251 2085 3 1 ( 556 , 5004 ) ( 834 , 3336 ) 12 M 417 4 9 13 _____________________________________________________________________________ 12954 1669 ( 1 , 2785561 ) 1392780 1392781 P 1 0 1 1 _____________________________________________________________________________ 12955 1670 ( 2 , 1394450 ) 12957 1670 ( 50 , 55778 ) 12956 12958 1670 1670 ( 10 , 278890 ) ( 334 , 8350 ) 697224 139440 27864 4008 697226 139450 27914 4342 M M M 2 M 0 10 2 4 334 4 _____________________________________________________________________________ 12959 1671 ( 1 , 2792241 ) 12961 1671 ( 9 , 310249 ) 12960 12962 1671 1671 1396120 ( 3 , 930747 ) 465372 ( 557 , 5013 ) 2228 155120 1396121 465375 155129 2785 M M P P 2 2 3 557 4 1 1 607 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 12963 1672 ( 2 , 1397792 ) 12965 1672 ( 8 , 349448 ) 12964 12966 12967 12968 12969 12970 12971 12972 12973 12974 12975 12976 12977 12978 12979 12980 12981 12982 12983 12984 1672 1672 1672 1672 1672 1672 1672 1672 1672 1672 1672 1672 1672 1672 1672 1672 1672 1672 1672 1672 698895 698897 ( 4 , 698896 ) 349446 349450 ( 16 , 174724 ) 87354 87370 ( 22 , 127072 ) 174720 P M 174728 63525 43697 P ( 44 , 63536 ) 31746 31790 M ( 88 , 31768 ) ( 152 , 18392 ) ( 176 , 15884 ) ( 242 , 11552 ) 36803 18354 22 38 M 9120 9272 M 5655 5897 P 8030 88 152 M 22 1 ( 304 , 9196 ) 4446 4750 M 38 ( 418 , 6688 ) 3135 3553 M 209 ( 352 , 7942 ) ( 484 , 5776 ) ( 608 , 4598 ) ( 722 , 3872 ) ( 836 , 3344 ) ( 968 , 2888 ) ( 1444 , 1936 ) 3795 4147 2646 1995 960 246 1928 1690 2 M 2297 2090 11 M 2603 1575 1254 M 3130 19 P 1 M 8 M M 11 19 M 15928 7854 1 M 18430 15840 2 M 43665 ( 76 , 36784 ) 8 M 63547 36765 2 M ( 32 , 87362 ) ( 38 , 73568 ) 1 418 4 18 2 22 _____________________________________________________________________________ 12985 12986 1673 1673 ( 1 , 2798929 ) ( 7 , 399847 ) 1399464 199920 1399465 199927 M P 7 1 608 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 12987 12988 1673 1673 ( 49 , 57121 ) ( 239 , 11711 ) 28536 5736 28585 P 5975 1 M 2 239 2 4 _____________________________________________________________________________ 12989 1674 ( 2 , 1401138 ) 12991 1674 ( 18 , 155682 ) 12990 12992 12993 12994 12995 12996 12997 12998 1674 1674 1674 1674 1674 1674 1674 1674 700568 700570 ( 6 , 467046 ) 233520 ( 54 , 51894 ) 25920 25974 ( 162 , 17298 ) 8568 8730 ( 62 , 45198 ) ( 186 , 15066 ) 77832 22568 7440 M 233526 M 77850 6 M 18 M 22630 7626 2 54 M 62 M 18 M 186 ( 486 , 5766 ) 2640 3126 M 6 ( 1458 , 1922 ) 232 1690 M 2 ( 558 , 5022 ) 2232 2790 M 558 0 10 10 _____________________________________________________________________________ 12999 1675 ( 1 , 2805625 ) 13001 1675 ( 25 , 112225 ) 13000 13002 13003 13004 13005 1675 1675 1675 1675 1675 1402812 ( 5 , 561125 ) 280560 ( 67 , 41875 ) 20904 ( 335 , 8375 ) 4020 ( 125 , 22445 ) ( 625 , 4489 ) 56100 11160 1932 1402813 280565 56125 4355 2557 5 M 20971 11285 M P 25 M M P 1 67 M 335 2 5 1 5 7 _____________________________________________________________________________ 13006 13007 1676 1676 ( 2 , 1404488 ) ( 4 , 702244 ) 702243 351120 702245 351124 P M 1 4 609 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13008 13009 1676 1676 ( 8 , 351122 ) ( 838 , 3352 ) 175557 1257 175565 2095 M P 2 2 1 419 4 _____________________________________________________________________________ 13010 1677 ( 1 , 2812329 ) 13012 1677 ( 9 , 312481 ) 13011 13013 13014 13015 13016 13017 13018 13019 13020 13021 13022 1677 1677 1677 1677 1677 1677 1677 1677 1677 1677 1677 ( 3 , 937443 ) ( 13 , 216333 ) ( 39 , 72111 ) ( 43 , 65403 ) ( 117 , 24037 ) ( 129 , 21801 ) ( 169 , 16641 ) 1406164 468720 156236 108160 36036 32680 11960 10836 8236 1406165 468723 M 156245 3 P 108173 36075 M 32723 1 M 39 M 12077 P M 129 1 3440 3827 M 43 ( 559 , 5031 ) 2236 2795 M 559 ( 1521 , 1849 ) 2520 164 3027 M 1685 13 13 ( 387 , 7267 ) ( 507 , 5547 ) 1 43 M 10965 8405 P 3 P 4 9 1 13 _____________________________________________________________________________ 13023 1678 ( 2 , 1407842 ) 703920 703922 0 M 1 1 2 _____________________________________________________________________________ 13024 1679 ( 1 , 2819041 ) 13026 1679 ( 73 , 38617 ) 13025 13027 1679 1679 ( 23 , 122567 ) ( 529 , 5329 ) 1409520 61272 19272 2400 1409521 61295 19345 2929 P M P M 2 2 23 1 73 4 1 610 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 13028 1680 ( 2 , 1411200 ) 13030 1680 ( 6 , 470400 ) 13029 13031 13032 13033 13034 13035 13036 13037 13038 13039 13040 13041 13042 13043 13044 13045 13046 13047 13048 13049 13050 13051 13052 13053 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 705599 705601 P 1 ( 4 , 705600 ) 352798 352802 M 2 ( 8 , 352800 ) 176396 176404 M 4 ( 10 , 282240 ) ( 12 , 235200 ) ( 14 , 201600 ) ( 16 , 176400 ) ( 18 , 156800 ) ( 20 , 141120 ) ( 24 , 117600 ) ( 28 , 100800 ) 235197 141115 117594 100793 235203 M 141125 M 117606 100807 88208 M 70550 70570 M 58788 50386 78409 58812 50414 5 M 88192 78391 3 6 M 7 16 P 1 10 M M 12 14 ( 30 , 94080 ) 47025 47055 M 15 ( 36 , 78400 ) 39182 39218 M 2 ( 32 , 88200 ) ( 40 , 70560 ) ( 42 , 67200 ) ( 48 , 58800 ) ( 50 , 56448 ) ( 56 , 50400 ) ( 60 , 47040 ) ( 64 , 44100 ) ( 70 , 40320 ) ( 72 , 39200 ) ( 80 , 35280 ) ( 84 , 33600 ) 44084 35260 33579 29376 28199 25172 23490 22018 20125 19564 17600 16758 44116 35300 33621 29424 28249 25228 23550 22082 20195 19636 17680 16842 M M M M P M M M M M M M 4 20 21 48 1 28 30 2 35 4 80 42 611 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13054 1680 ( 90 , 31360 ) 15635 15725 M 13056 1680 ( 98 , 28800 ) 14351 14449 P 13055 13057 13058 13059 13060 13061 13062 13063 13064 13065 13066 13067 13068 13069 13070 13071 13072 13073 13074 13075 13076 13077 13078 13079 13080 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 ( 96 , 29400 ) ( 100 , 28224 ) ( 112 , 25200 ) ( 120 , 23520 ) ( 126 , 22400 ) ( 128 , 22050 ) ( 140 , 20160 ) ( 144 , 19600 ) ( 150 , 18816 ) ( 160 , 17640 ) ( 168 , 16800 ) ( 180 , 15680 ) ( 192 , 14700 ) ( 196 , 14400 ) ( 200 , 14112 ) ( 210 , 13440 ) ( 224 , 12600 ) ( 240 , 11760 ) ( 252 , 11200 ) ( 280 , 10080 ) 14652 14062 12544 11700 11137 10961 10010 14748 M 14162 11820 11089 8740 8900 M 7750 7254 7102 6956 6615 6188 5760 5474 4900 7930 7446 7298 7156 6825 6412 6000 5726 5180 60 7 P M 8484 112 M 9872 8316 M M M M M M M M M M M M 1 16 20 84 10 6 2 4 105 28 240 14 140 4756 5044 M 4 ( 300 , 9408 ) 4554 4854 M 6 ( 320 , 8820 ) ( 336 , 8400 ) 4653 4250 4032 4947 4570 4368 M M M 70 3 ( 288 , 9800 ) ( 294 , 9600 ) 2 M 11263 9483 1 M 9728 9333 12 M 12656 10150 5 3 10 336 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 612 13081 1680 ( 350 , 8064 ) 3857 4207 M 7 13083 1680 ( 384 , 7350 ) 3483 3867 M 3 13082 13084 13085 13086 13087 13088 13089 13090 13091 13092 13093 13094 13095 13096 13097 13098 13099 13100 13101 13102 13103 13104 13105 13106 13107 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 ( 360 , 7840 ) ( 392 , 7200 ) ( 400 , 7056 ) ( 420 , 6720 ) ( 448 , 6300 ) ( 450 , 6272 ) ( 480 , 5880 ) ( 490 , 5760 ) ( 504 , 5600 ) ( 560 , 5040 ) ( 576 , 4900 ) ( 588 , 4800 ) ( 600 , 4704 ) ( 630 , 4480 ) ( 640 , 4410 ) ( 672 , 4200 ) ( 700 , 4032 ) ( 720 , 3920 ) ( 784 , 3600 ) ( 800 , 3528 ) ( 840 , 3360 ) ( 882 , 3200 ) ( 896 , 3150 ) ( 900 , 3136 ) ( 960 , 2940 ) 3740 3404 3328 3150 2926 2911 2700 2635 2548 2240 2162 2106 2052 1925 1885 1764 1666 1600 1408 1364 1260 1159 1127 1118 990 4100 3796 3728 3570 3374 3361 3180 3125 3052 2800 2738 2694 2652 2555 2525 2436 2366 2320 2192 2164 2100 2041 2023 2018 1950 M M M M M P M M M M M M M M M M M M M M M P M M M 20 4 16 210 14 1 60 5 28 560 2 6 12 35 5 84 14 80 16 4 420 1 7 2 30 613 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13108 1680 ( 980 , 2880 ) 13110 1680 ( 1050 , 2688 ) 13109 13111 13112 13113 13114 13115 13116 13117 13118 13119 13120 13121 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 1680 ( 1008 , 2800 ) ( 1120 , 2520 ) ( 1152 , 2450 ) ( 1176 , 2400 ) ( 1200 , 2352 ) ( 1260 , 2240 ) ( 1344 , 2100 ) ( 1400 , 2016 ) ( 1440 , 1960 ) ( 1470 , 1920 ) ( 1568 , 1800 ) ( 1600 , 1764 ) 950 896 1930 1904 819 82 42 M 1700 225 70 M 1708 260 48 M 1722 308 12 M 1750 378 1 M 1776 490 140 P 1788 576 21 M 1801 612 112 M 1820 649 10 M 1869 700 116 M 28 M 1695 20 M 1684 15 M 1682 4 M 2 8 86 94 _____________________________________________________________________________ 13122 13123 1681 1681 ( 1 , 2825761 ) ( 41 , 68921 ) 1412880 34440 1412881 34481 P M 1 1 1 41 2 _____________________________________________________________________________ 13124 13125 1682 1682 ( 2 , 1414562 ) ( 58 , 48778 ) 707280 24360 707282 24418 M M 0 2 58 2 2 _____________________________________________________________________________ 13126 1683 ( 1 , 2832489 ) 13128 1683 ( 9 , 314721 ) 13127 1683 ( 3 , 944163 ) 1416244 472080 157356 1416245 472083 157365 M M P 3 9 1 614 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13129 1683 ( 11 , 257499 ) 128744 13131 1683 ( 27 , 104907 ) 52440 13130 13132 13133 13134 13135 13136 13137 13138 13139 13140 13141 13142 13143 13144 13145 13146 13147 1683 1683 1683 1683 1683 1683 1683 1683 1683 1683 1683 1683 1683 1683 1683 1683 1683 ( 17 , 166617 ) 83300 128755 83317 M 52467 42900 42933 M ( 81 , 34969 ) 17444 17525 P ( 99 , 28611 ) ( 121 , 23409 ) ( 153 , 18513 ) ( 187 , 15147 ) 27744 14256 11644 9180 7480 27795 11765 9333 M 5045 P ( 363 , 7803 ) 3720 4083 M ( 459 , 6171 ) ( 561 , 5049 ) ( 867 , 3267 ) ( 891 , 3179 ) ( 1089 , 2601 ) ( 1377 , 2057 ) 2856 2244 1200 1144 756 340 4917 3315 2805 2067 2035 1845 1717 33 51 1 99 P 1 153 M 4756 4620 3 M ( 289 , 9801 ) ( 297 , 9537 ) 17 M 14355 7667 11 M ( 33 , 85833 ) ( 51 , 55539 ) M 1 M 33 3 M 51 M 561 M 3 M 11 M M 187 9 4 18 17 22 _____________________________________________________________________________ 13148 1684 ( 2 , 1417928 ) 13150 1684 ( 8 , 354482 ) 13149 13151 1684 1684 708963 ( 4 , 708964 ) 354480 ( 842 , 3368 ) 1263 177237 708965 P 354484 177245 2105 M 1 M 4 P 2 2 421 4 1 _____________________________________________________________________________ 615 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13152 1685 ( 1 , 2839225 ) 13154 1685 ( 25 , 113569 ) 13153 13155 1685 1685 1419612 ( 5 , 567845 ) 283920 ( 337 , 8425 ) 4044 56772 1419613 283925 56797 4381 M P P M 2 1 2 5 1 337 4 _____________________________________________________________________________ 13156 1686 ( 2 , 1421298 ) 13158 1686 ( 18 , 157922 ) 13157 13159 1686 1686 710648 ( 6 , 473766 ) 236880 ( 562 , 5058 ) 2248 78952 710650 M 236886 78970 2810 2 M 6 M M 0 4 562 2 4 _____________________________________________________________________________ 13160 1687 ( 1 , 2845969 ) 13162 1687 ( 49 , 58081 ) 13161 13163 1687 1687 ( 7 , 406567 ) ( 241 , 11809 ) 1422984 203280 29016 5784 1422985 203287 29065 P 6025 M M 2 P 7 1 2 1 241 4 _____________________________________________________________________________ 13164 1688 ( 2 , 1424672 ) 13166 1688 ( 8 , 356168 ) 13165 13167 13168 13169 13170 1688 1688 1688 1688 1688 712335 712337 ( 4 , 712336 ) 356166 356170 ( 16 , 178084 ) 89034 89050 178080 ( 32 , 89042 ) 44505 ( 844 , 3376 ) 1266 ( 422 , 6752 ) 3165 178088 44537 3587 2110 P 1 M 2 M 8 M M M P 2 1 2 211 5 422 7 _____________________________________________________________________________ 616 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13171 1689 ( 1 , 2852721 ) 13173 1689 ( 9 , 316969 ) 13172 13174 1689 1689 1426360 ( 3 , 950907 ) 475452 ( 563 , 5067 ) 2252 158480 1426361 475455 158489 2815 M P P M 2 2 3 1 1 563 4 _____________________________________________________________________________ 13175 1690 ( 2 , 1428050 ) 13177 1690 ( 26 , 109850 ) 13176 13178 13179 13180 13181 1690 1690 1690 1690 1690 ( 10 , 285610 ) 714024 142800 54912 ( 50 , 57122 ) 28536 ( 338 , 8450 ) 4056 ( 130 , 21970 ) ( 650 , 4394 ) 10920 1872 714026 M 142810 54938 28586 11050 4394 2522 M 2 M 10 M 2 M M M 338 0 7 26 26 130 7 _____________________________________________________________________________ 13182 1691 ( 1 , 2859481 ) 13184 1691 ( 89 , 32129 ) 13183 13185 1691 1691 ( 19 , 150499 ) ( 361 , 7921 ) 1429740 75240 16020 3780 1429741 75259 16109 4141 P P M M 2 2 19 1 1 89 4 _____________________________________________________________________________ 13186 1692 ( 2 , 1431432 ) 13188 1692 ( 6 , 477144 ) 13187 13189 13190 13191 1692 1692 1692 1692 715715 715717 P 1 ( 4 , 715716 ) 357856 357860 M ( 8 , 357858 ) 178925 178933 P 1 M 9 ( 12 , 238572 ) ( 18 , 159048 ) 238569 119280 79515 238575 119292 79533 M M 4 3 12 617 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13192 1692 ( 24 , 119286 ) 13194 1692 ( 54 , 53016 ) 13193 13195 13196 13197 13198 13199 13200 13201 13202 13203 13204 13205 13206 13207 1692 1692 1692 1692 1692 1692 1692 1692 1692 1692 1692 1692 1692 1692 59631 59655 M 3 ( 36 , 79524 ) 39744 39780 M 36 ( 72 , 39762 ) 19845 19917 M 9 ( 94 , 30456 ) ( 108 , 26508 ) ( 162 , 17672 ) ( 188 , 15228 ) ( 216 , 13254 ) ( 282 , 10152 ) 26481 15181 13200 26535 M 15275 M 13308 8917 P 6519 6735 M 4935 7708 5217 47 M 8755 7520 3 12 1 M 188 3 M 141 ( 324 , 8836 ) 4256 4580 M 4 ( 564 , 5076 ) 2256 2820 M 564 ( 376 , 7614 ) ( 648 , 4418 ) ( 846 , 3384 ) ( 1128 , 2538 ) 3619 1885 1269 705 3995 M 2533 47 P 2115 1 M 1833 423 M 4 18 141 22 _____________________________________________________________________________ 13208 1693 ( 1 , 2866249 ) 1433124 1433125 P 1 0 1 1 _____________________________________________________________________________ 13209 1694 ( 2 , 1434818 ) 13211 1694 ( 22 , 130438 ) 13210 13212 13213 13214 1694 1694 1694 1694 ( 14 , 204974 ) 717408 102480 65208 ( 98 , 29282 ) 14592 ( 242 , 11858 ) 5808 ( 154 , 18634 ) 9240 717410 M 102494 65230 14690 9394 6050 M M M M 2 M 14 2 22 154 242 618 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13215 1694 ( 1078 , 2662 ) 792 1870 M 0 7 22 7 _____________________________________________________________________________ 13216 1695 ( 1 , 2873025 ) 13218 1695 ( 5 , 574605 ) 13217 13219 13220 13221 13222 13223 13224 13225 13226 13227 13228 1695 1695 1695 1695 1695 1695 1695 1695 1695 1695 1695 1436512 1436513 ( 3 , 957675 ) 478836 478839 M ( 9 , 319225 ) 159608 159617 P ( 15 , 191535 ) ( 25 , 114921 ) ( 45 , 63845 ) ( 75 , 38307 ) ( 113 , 25425 ) ( 225 , 12769 ) 287300 95760 57448 31900 19116 12656 6272 287305 3 M 95775 1 15 P 31945 1 M 19191 5 M 12769 3 M P 1 ( 339 , 8475 ) 4068 4407 M 339 ( 1017 , 2825 ) 904 1921 M 113 ( 565 , 5085 ) 2260 2825 1 5 M 57473 6497 P M 113 565 4 9 13 _____________________________________________________________________________ 13229 1696 ( 2 , 1438208 ) 13231 1696 ( 8 , 359552 ) 13230 13232 13233 13234 13235 13236 13237 1696 1696 1696 1696 1696 1696 1696 719103 719105 ( 4 , 719104 ) 359550 359554 ( 16 , 179776 ) 89880 89896 ( 32 , 89888 ) ( 64 , 44944 ) ( 106 , 27136 ) ( 128 , 22472 ) ( 212 , 13568 ) 179772 44928 22440 13515 11172 6678 P M 179780 44960 22504 13621 11300 6890 1 2 M M M M M M M 4 8 32 8 53 4 106 619 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13238 1696 ( 256 , 11236 ) 13240 1696 ( 512 , 5618 ) 13239 13241 1696 1696 5490 5746 M ( 424 , 6784 ) 3180 3604 M ( 848 , 3392 ) 1272 2120 M 2553 3065 2 212 P 1 2 11 424 13 _____________________________________________________________________________ 13242 1697 ( 1 , 2879809 ) 1439904 1439905 P 1 0 1 1 _____________________________________________________________________________ 13243 1698 ( 2 , 1441602 ) 13245 1698 ( 18 , 160178 ) 13244 13246 1698 1698 720800 ( 6 , 480534 ) 240264 ( 566 , 5094 ) 2264 80080 720802 M 240270 80098 2830 2 M 6 M M 0 4 566 2 4 _____________________________________________________________________________ 13247 1699 ( 1 , 2886601 ) 1443300 1443301 P 1 0 1 1 _____________________________________________________________________________ 13248 1700 ( 2 , 1445000 ) 13250 1700 ( 8 , 361250 ) 13249 13251 13252 13253 13254 13255 13256 1700 1700 1700 1700 1700 1700 1700 ( 4 , 722500 ) ( 10 , 289000 ) ( 20 , 144500 ) 722499 361248 180621 144495 72240 722501 P 361252 M 180629 144505 72260 1 4 P M 1 M 20 ( 34 , 85000 ) 42483 42517 M 17 ( 50 , 57800 ) 28875 28925 M 25 ( 40 , 72250 ) ( 68 , 42500 ) 36105 21216 36145 21284 M M 5 5 68 620 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13257 1700 ( 100 , 28900 ) 14400 13259 1700 ( 170 , 17000 ) 8415 8585 M 5655 5905 M 13258 13260 13261 13262 13263 13264 13265 13266 13267 13268 13269 1700 1700 1700 1700 1700 1700 1700 1700 1700 1700 1700 ( 136 , 21250 ) ( 200 , 14450 ) ( 250 , 11560 ) 10557 7125 14500 10693 7325 4080 4420 M ( 578 , 5000 ) 2211 2789 P ( 680 , 4250 ) ( 850 , 3400 ) ( 1000 , 2890 ) ( 1156 , 2500 ) ( 1250 , 2312 ) 2640 1785 1275 945 672 531 3140 100 M 85 M ( 340 , 8500 ) ( 500 , 5780 ) M 25 5 340 M 2465 20 1 M 2125 85 M 1945 M 1781 P 1828 17 425 5 M 4 4 18 1 22 _____________________________________________________________________________ 13270 1701 ( 1 , 2893401 ) 13272 1701 ( 7 , 413343 ) 13271 13273 13274 13275 13276 13277 13278 13279 13280 13281 1701 1701 1701 1701 1701 1701 1701 1701 1701 1701 1446700 1446701 ( 3 , 964467 ) 482232 482235 M ( 9 , 321489 ) 160740 160749 M ( 21 , 137781 ) ( 27 , 107163 ) 206668 68880 53568 206675 M 29500 29549 P ( 81 , 35721 ) 17820 17901 M ( 147 , 19683 ) ( 189 , 15309 ) ( 243 , 11907 ) 22932 22995 7 9 M ( 49 , 59049 ) ( 63 , 45927 ) 3 M 68901 53595 P M 21 1 27 63 81 9768 9915 M 3 5832 6075 M 243 7560 7749 M 189 1 621 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13282 1701 ( 441 , 6561 ) 3060 3501 M 9 13284 1701 ( 729 , 3969 ) 1620 2349 M 81 13283 13285 1701 1701 ( 567 , 5103 ) ( 1323 , 2187 ) 2268 432 2835 M 1755 567 M 2 14 27 16 _____________________________________________________________________________ 13286 1702 ( 2 , 1448402 ) 13288 1702 ( 74 , 39146 ) 13287 13289 1702 1702 724200 ( 46 , 62974 ) 31464 ( 1058 , 2738 ) 840 19536 724202 31510 19610 1898 M M M 46 M 0 2 4 2 74 4 _____________________________________________________________________________ 13290 1703 ( 1 , 2900209 ) 13292 1703 ( 131 , 22139 ) 13291 13293 1703 1703 1450104 ( 13 , 223093 ) 111540 ( 169 , 17161 ) 8496 11004 1450105 111553 11135 8665 P M M 2 P 2 1 13 1 131 4 _____________________________________________________________________________ 13294 1704 ( 2 , 1451808 ) 13296 1704 ( 6 , 483936 ) 13295 13297 13298 13299 13300 13301 13302 1704 1704 1704 1704 1704 1704 1704 725903 725905 P 1 ( 4 , 725904 ) 362950 362954 M 2 ( 8 , 362952 ) 181472 181480 M 8 ( 12 , 241968 ) ( 16 , 181476 ) ( 18 , 161312 ) ( 24 , 120984 ) ( 32 , 90738 ) 241965 120978 241971 120990 M 90730 90746 M 60480 60504 M 80647 45353 80665 45385 3 M 2 P P 1 1 6 24 622 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13303 1704 ( 36 , 80656 ) 40310 40346 M 2 13305 1704 ( 72 , 40328 ) 20128 20200 M 8 13304 13306 13307 13308 13309 13310 13311 13312 13313 13314 13315 1704 1704 1704 1704 1704 1704 1704 1704 1704 1704 1704 ( 48 , 60492 ) ( 96 , 30246 ) ( 142 , 20448 ) ( 144 , 20164 ) ( 284 , 10224 ) ( 288 , 10082 ) 30222 15075 10153 10010 4970 4897 30270 M 15171 M 10295 3 M 10154 5254 5185 6 M M 2 142 P 1 ( 426 , 6816 ) 3195 3621 M 213 ( 852 , 3408 ) 1278 2130 M 426 ( 568 , 5112 ) ( 1136 , 2556 ) ( 1278 , 2272 ) 2272 710 497 2840 M 1846 568 M 1775 71 142 M 4 18 71 22 _____________________________________________________________________________ 13316 1705 ( 1 , 2907025 ) 13318 1705 ( 11 , 264275 ) 13317 13319 13320 13321 13322 13323 13324 13325 13326 13327 1705 1705 1705 1705 1705 1705 1705 1705 1705 1705 1453512 1453513 ( 5 , 581405 ) 290700 290705 ( 25 , 116281 ) 58128 58153 ( 31 , 93775 ) ( 55 , 52855 ) ( 121 , 24025 ) ( 155 , 18755 ) ( 275 , 10571 ) 132132 46872 26400 11952 9300 5148 132143 P 46903 9455 5423 5 M 1 M 26455 12073 M P 31 M M M P 55 1 155 11 ( 341 , 8525 ) 4092 4433 M 341 ( 775 , 3751 ) 1488 2263 M 31 ( 605 , 4805 ) 2100 2705 M 5 1 11 623 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13328 1705 ( 961 , 3025 ) 1032 1993 P 4 9 1 13 _____________________________________________________________________________ 13329 1706 ( 2 , 1455218 ) 727608 727610 M 0 1 2 1 _____________________________________________________________________________ 13330 1707 ( 1 , 2913849 ) 13332 1707 ( 9 , 323761 ) 13331 13333 1707 1707 1456924 ( 3 , 971283 ) 485640 ( 569 , 5121 ) 2276 161876 1456925 485643 161885 2845 M M P P 2 2 3 569 1 1 4 _____________________________________________________________________________ 13334 1708 ( 2 , 1458632 ) 13336 1708 ( 8 , 364658 ) 13335 13337 13338 13339 13340 13341 13342 13343 13344 13345 13346 1708 1708 1708 1708 1708 1708 1708 1708 1708 1708 1708 ( 4 , 729316 ) ( 14 , 208376 ) ( 28 , 104188 ) ( 56 , 52094 ) ( 98 , 29768 ) ( 122 , 23912 ) ( 196 , 14884 ) ( 244 , 11956 ) 729315 364656 182325 104181 52080 26019 14835 11895 7344 5856 729317 P 364660 M 182333 52108 M 26075 6100 M 4 M M 3917 P ( 854 , 3416 ) 1281 2135 M 3233 7 1 3525 2745 M P ( 392 , 7442 ) ( 488 , 5978 ) 1 M 14933 7540 4 P 104195 12017 1 1 M 7 28 61 244 61 4 9 427 13 _____________________________________________________________________________ 624 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13347 1709 ( 1 , 2920681 ) 1460340 1460341 P 1 0 1 1 _____________________________________________________________________________ 13348 1710 ( 2 , 1462050 ) 13350 1710 ( 10 , 292410 ) 13349 13351 13352 13353 13354 13355 13356 13357 13358 13359 13360 13361 13362 13363 13364 13365 13366 13367 13368 13369 1710 1710 1710 1710 1710 1710 1710 1710 1710 1710 1710 1710 1710 1710 1710 1710 1710 1710 1710 1710 731024 731026 ( 6 , 487350 ) 243672 243678 ( 18 , 162450 ) 81216 81234 146200 M 2 M 146210 M 6 M 10 18 ( 30 , 97470 ) 48720 48750 M 30 ( 50 , 58482 ) 29216 29266 M 2 ( 38 , 76950 ) ( 54 , 54150 ) ( 90 , 32490 ) ( 114 , 25650 ) ( 150 , 19494 ) ( 162 , 18050 ) ( 190 , 15390 ) ( 270 , 10830 ) 38456 27048 16200 12768 38494 M 27102 M 16290 12882 9822 M 7600 7790 M 5280 9106 5550 6 M 9672 8944 38 90 M 6 M 2 190 M 30 ( 342 , 8550 ) 4104 4446 M 342 ( 570 , 5130 ) 2280 2850 M 570 ( 450 , 6498 ) ( 722 , 4050 ) ( 810 , 3610 ) ( 950 , 3078 ) ( 1026 , 2850 ) ( 1350 , 2166 ) 3024 1664 1400 1064 912 408 3474 2386 2210 2014 1938 1758 M 18 M 2 M 10 M 38 M M 114 114 0 22 6 22 _____________________________________________________________________________ 625 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13370 1711 ( 1 , 2927521 ) 13372 1711 ( 59 , 49619 ) 13371 13373 1711 1711 ( 29 , 100949 ) ( 841 , 3481 ) 1463760 50460 24780 1320 1463761 50489 24839 2161 P P M M 2 2 29 1 1 59 4 _____________________________________________________________________________ 13374 1712 ( 2 , 1465472 ) 13376 1712 ( 8 , 366368 ) 13375 13377 13378 13379 13380 13381 13382 13383 1712 1712 1712 1712 1712 1712 1712 1712 732735 732737 ( 4 , 732736 ) 366366 366370 ( 16 , 183184 ) 91584 91600 ( 32 , 91592 ) ( 64 , 45796 ) ( 128 , 22898 ) ( 214 , 13696 ) ( 428 , 6848 ) ( 856 , 3424 ) 183180 45780 22866 11385 6741 3210 1284 P M 183188 16 M 4 P 1 M 11513 2140 4 M 22930 3638 2 M 45812 6955 1 M 2 107 M M 214 2 8 428 10 _____________________________________________________________________________ 13384 1713 ( 1 , 2934369 ) 13386 1713 ( 9 , 326041 ) 13385 13387 1713 1713 1467184 ( 3 , 978123 ) 489060 ( 571 , 5139 ) 2284 163016 1467185 489063 163025 2855 M M P P 2 2 3 571 1 1 4 _____________________________________________________________________________ 13388 1714 ( 2 , 1468898 ) 734448 734450 0 M 1 1 2 _____________________________________________________________________________ 626 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13389 1715 ( 1 , 2941225 ) 13391 1715 ( 7 , 420175 ) 13390 13392 13393 13394 13395 13396 13397 13398 1715 1715 1715 1715 1715 1715 1715 1715 1470612 1470613 ( 5 , 588245 ) 294120 294125 ( 25 , 117649 ) 58812 58837 210084 210091 ( 35 , 84035 ) 42000 42035 ( 175 , 16807 ) 8316 8491 ( 49 , 60025 ) ( 245 , 12005 ) ( 343 , 8575 ) ( 1225 , 2401 ) 29988 5880 4116 588 M 4459 1813 5 M P 1 M 30037 6125 P 7 35 M M 7 M 49 245 M M 1 343 2 8 49 10 _____________________________________________________________________________ 13399 1716 ( 2 , 1472328 ) 13401 1716 ( 6 , 490776 ) 13400 13402 13403 13404 13405 13406 13407 13408 13409 13410 13411 13412 13413 1716 1716 1716 1716 1716 1716 1716 1716 1716 1716 1716 1716 1716 736163 736165 P ( 4 , 736164 ) 368080 368084 M ( 8 , 368082 ) 184037 184045 P ( 12 , 245388 ) ( 18 , 163592 ) ( 22 , 133848 ) ( 24 , 122694 ) ( 26 , 113256 ) 245385 122688 245391 122700 81805 P 61335 61359 M 56615 66935 56641 4 M 81787 66913 1 3 1 M 1 M M 11 3 13 ( 36 , 81796 ) 40880 40916 M 4 ( 52 , 56628 ) 28288 28340 M 52 ( 44 , 66924 ) ( 66 , 44616 ) ( 72 , 40898 ) ( 78 , 37752 ) 33440 22275 20413 18837 33484 22341 20485 18915 M M P M 12 44 33 1 39 627 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13414 1716 ( 88 , 33462 ) 13416 1716 ( 132 , 22308 ) 13415 13417 13418 13419 13420 13421 13422 13423 13424 13425 13426 13427 13428 13429 13430 13431 13432 13433 13434 13435 13436 13437 13438 1716 1716 1716 1716 1716 1716 1716 1716 1716 1716 1716 1716 1716 1716 1716 1716 1716 1716 1716 1716 1716 1716 1716 ( 104 , 28314 ) ( 156 , 18876 ) ( 198 , 14872 ) ( 234 , 12584 ) ( 242 , 12168 ) ( 264 , 11154 ) ( 286 , 10296 ) 16687 14105 11088 16775 M 14209 11220 M 9360 9516 M 6175 6409 M 7337 5963 5445 5005 7535 6205 5709 5291 ( 396 , 7436 ) 3520 3916 M ( 484 , 6084 ) ( 572 , 5148 ) ( 676 , 4356 ) ( 726 , 4056 ) ( 792 , 3718 ) ( 858 , 3432 ) ( 936 , 3146 ) ( 968 , 3042 ) ( 1014 , 2904 ) ( 1144 , 2574 ) ( 1352 , 2178 ) ( 1452 , 2028 ) 2912 2800 2288 1840 1665 1463 1287 1105 1037 945 715 413 288 3380 3284 2860 2516 2391 2255 2145 2041 2005 13 1 33 143 39 1 44 M 52 M 4 M 572 M 4 M 3 M 11 M 429 M 13 P M 1765 P 1740 11 P 1959 1859 156 M M ( 468 , 6292 ) 132 M 4875 4525 M P 4563 4187 13 M ( 312 , 9438 ) ( 338 , 8712 ) 11 1 3 M M 143 1 8 32 12 40 _____________________________________________________________________________ 628 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13439 1717 ( 1 , 2948089 ) 13441 1717 ( 101 , 29189 ) 13440 13442 1717 1717 1474044 ( 17 , 173417 ) 86700 ( 289 , 10201 ) 4956 14544 1474045 86717 14645 5245 P P M M 2 2 17 1 1 101 4 _____________________________________________________________________________ 13443 1718 ( 2 , 1475762 ) 737880 737882 M 0 1 2 1 _____________________________________________________________________________ 13444 1719 ( 1 , 2954961 ) 13446 1719 ( 9 , 328329 ) 13445 13447 13448 13449 13450 1719 1719 1719 1719 1719 1477480 1477481 ( 3 , 984987 ) 492492 492495 ( 27 , 109443 ) 54708 54735 164160 ( 81 , 36481 ) 18200 ( 573 , 5157 ) 2292 ( 191 , 15471 ) 7640 M 164169 2865 3 M P 1 M M 1 9 M 18281 7831 P 3 191 2 5 573 7 _____________________________________________________________________________ 13451 1720 ( 2 , 1479200 ) 13453 1720 ( 8 , 369800 ) 13452 13454 13455 13456 13457 13458 13459 1720 1720 1720 1720 1720 1720 1720 ( 4 , 739600 ) ( 10 , 295840 ) ( 16 , 184900 ) ( 20 , 147920 ) 739599 369798 184896 147915 92442 73950 739601 P 369802 M 184904 147925 92458 73970 1 2 M M M 8 M 2 ( 32 , 92450 ) 46209 46241 P 1 ( 50 , 59168 ) 29559 29609 P 1 ( 40 , 73960 ) 36960 37000 M 5 10 40 629 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13460 1720 ( 80 , 36980 ) 13462 1720 ( 100 , 29584 ) 13461 13463 13464 13465 13466 13467 13468 13469 13470 13471 13472 1720 1720 1720 1720 1720 1720 1720 1720 1720 1720 1720 ( 86 , 34400 ) ( 160 , 18490 ) ( 172 , 17200 ) ( 200 , 14792 ) 18450 17157 14742 18530 M 17243 M 14842 9165 9325 M 7296 7496 M 8514 10 8686 43 M 2 5 M 86 8 ( 344 , 8600 ) 4128 4472 M 344 ( 430 , 6880 ) 3225 3655 M 215 ( 400 , 7396 ) ( 688 , 4300 ) ( 800 , 3698 ) ( 860 , 3440 ) ( 1376 , 2150 ) 3498 1806 1449 1290 387 3898 M 2494 2 M 2249 86 P 2150 1 M 1763 430 M 4 18 43 22 _____________________________________________________________________________ 13473 1721 ( 1 , 2961841 ) 1480920 1480921 P 1 0 1 1 _____________________________________________________________________________ 13474 1722 ( 2 , 1482642 ) 13476 1722 ( 14 , 211806 ) 13475 13477 13478 13479 13480 13481 13482 1722 1722 1722 1722 1722 1722 1722 741320 741322 ( 6 , 494214 ) 247104 247110 ( 18 , 164738 ) 82360 82378 105896 M 2 M 105910 M 6 M 2 ( 42 , 70602 ) 35280 35322 M 42 ( 98 , 30258 ) 15080 15178 M 2 ( 82 , 36162 ) ( 126 , 23534 ) ( 246 , 12054 ) 18040 11704 5904 18122 11830 6150 M M M 14 82 14 246 630 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13483 1722 ( 294 , 10086 ) 13485 1722 ( 738 , 4018 ) 13484 13486 1722 1722 4896 5190 M 6 ( 574 , 5166 ) 2296 2870 M 574 ( 882 , 3362 ) 1240 2122 M 2 1640 2378 M 82 0 13 13 _____________________________________________________________________________ 13487 1723 ( 1 , 2968729 ) 1484364 1484365 P 1 0 1 1 _____________________________________________________________________________ 13488 1724 ( 2 , 1486088 ) 13490 1724 ( 8 , 371522 ) 13489 13491 1724 1724 743043 ( 4 , 743044 ) 371520 ( 862 , 3448 ) 1293 185757 743045 P 371524 185765 2155 1 M 4 P M 2 2 431 1 4 _____________________________________________________________________________ 13492 1725 ( 1 , 2975625 ) 13494 1725 ( 5 , 595125 ) 13493 13495 13496 13497 13498 13499 13500 13501 13502 13503 1725 1725 1725 1725 1725 1725 1725 1725 1725 1725 1487812 1487813 ( 3 , 991875 ) 495936 495939 M ( 9 , 330625 ) 165308 165317 P ( 15 , 198375 ) ( 23 , 129375 ) ( 25 , 119025 ) 297560 99180 64676 59500 297565 P 3 M 5 1 99195 M 15 59525 M 25 64699 M 23 ( 45 , 66125 ) 33040 33085 M 5 ( 75 , 39675 ) 19800 19875 M 75 ( 69 , 43125 ) ( 115 , 25875 ) ( 125 , 23805 ) 21528 12880 11840 21597 12995 11965 M M M 69 115 5 1 631 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13504 1725 ( 207 , 14375 ) 13506 1725 ( 345 , 8625 ) 4140 4485 M ( 529 , 5625 ) 2548 3077 P 1 P 1 13505 13507 13508 13509 13510 13511 13512 13513 1725 1725 1725 1725 1725 1725 1725 1725 ( 225 , 13225 ) ( 375 , 7935 ) ( 575 , 5175 ) ( 625 , 4761 ) ( 1035 , 2875 ) ( 1125 , 2645 ) ( 1587 , 1875 ) 7084 6500 3780 2300 2068 920 760 144 7291 6725 4155 M 23 M 25 345 M 2875 15 M 2693 1955 M 1731 M 1885 575 115 M 5 4 18 3 22 _____________________________________________________________________________ 13514 1726 ( 2 , 1489538 ) 744768 744770 M 0 1 2 1 _____________________________________________________________________________ 13515 1727 ( 1 , 2982529 ) 13517 1727 ( 121 , 24649 ) 13516 13518 1727 1727 1491264 ( 11 , 271139 ) 135564 ( 157 , 18997 ) 9420 12264 1491265 135575 12385 9577 M P M 2 P 1 11 1 2 157 4 _____________________________________________________________________________ 13519 1728 ( 2 , 1492992 ) 13521 1728 ( 6 , 497664 ) 13520 13522 13523 13524 1728 1728 1728 1728 746495 746497 P 1 ( 4 , 746496 ) 373246 373250 M 2 ( 8 , 373248 ) 186620 186628 M 4 ( 12 , 248832 ) ( 16 , 186624 ) 248829 124410 93304 248835 124422 93320 M M M 3 8 6 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13525 1728 ( 18 , 165888 ) 13527 1728 ( 32 , 93312 ) 46640 46672 M 16 ( 48 , 62208 ) 31080 31128 M 24 13526 13528 13529 13530 13531 13532 13533 13534 13535 13536 13537 13538 13539 13540 13541 13542 13543 13544 13545 13546 13547 13548 13549 13550 13551 1728 1728 1728 1728 1728 1728 1728 1728 1728 1728 1728 1728 1728 1728 1728 1728 1728 1728 1728 1728 1728 1728 1728 1728 1728 ( 24 , 124416 ) ( 36 , 82944 ) ( 54 , 55296 ) ( 64 , 46656 ) ( 72 , 41472 ) ( 96 , 31104 ) ( 108 , 27648 ) ( 128 , 23328 ) ( 144 , 20736 ) ( 162 , 18432 ) ( 192 , 15552 ) ( 216 , 13824 ) ( 256 , 11664 ) ( 288 , 10368 ) 82935 62196 41454 27621 23296 20700 15504 13770 11600 10296 82953 632 62220 27675 20772 13878 48 M 11728 54 M 6804 7020 M 5328 36 M M 5040 64 M 15600 5960 27 M 9297 5704 18 M 23360 7872 12 M 9135 7680 9 M 41490 10440 M M M M M 16 9 192 108 8 144 ( 324 , 9216 ) 4446 4770 M 18 ( 432 , 6912 ) 3240 3672 M 216 ( 384 , 7776 ) ( 486 , 6144 ) ( 512 , 5832 ) ( 576 , 5184 ) ( 648 , 4608 ) ( 768 , 3888 ) ( 864 , 3456 ) ( 972 , 3072 ) 3696 2829 2660 2304 1980 1560 1296 1050 4080 3315 3172 2880 2628 2328 2160 2022 M M M M M M M M 72 48 3 4 576 36 24 432 6 633 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13552 1728 ( 1024 , 2916 ) 946 1970 M 2 13554 1728 ( 1296 , 2304 ) 504 1800 M 72 13553 13555 13556 1728 1728 1728 ( 1152 , 2592 ) ( 1458 , 2048 ) ( 1536 , 1944 ) 720 295 204 1872 M 1753 144 P 1740 1 M 2 36 12 38 _____________________________________________________________________________ 13557 1729 ( 1 , 2989441 ) 13559 1729 ( 13 , 229957 ) 13558 13560 13561 13562 13563 13564 13565 13566 13567 13568 13569 1729 1729 1729 1729 1729 1729 1729 1729 1729 1729 1729 1494720 1494721 ( 7 , 427063 ) 213528 213535 ( 19 , 157339 ) 78660 78679 ( 49 , 61009 ) ( 91 , 32851 ) ( 133 , 22477 ) ( 169 , 17689 ) ( 247 , 12103 ) 114972 30480 16380 11172 8760 5928 114985 M 30529 16471 8929 P 4321 P ( 931 , 3211 ) 1140 2071 M ( 1183 , 2527 ) 672 2665 1855 1 19 91 M 133 1 1 M M 1 13 M 3960 2028 M M 11305 6175 7 P ( 361 , 8281 ) ( 637 , 4693 ) M P 247 13 19 4 9 7 13 _____________________________________________________________________________ 13570 1730 ( 2 , 1496450 ) 13572 1730 ( 50 , 59858 ) 13571 13573 1730 1730 ( 10 , 299290 ) ( 346 , 8650 ) 748224 149640 29904 4152 748226 149650 29954 4498 M M M 0 2 M 2 4 346 4 10 634 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 13574 1731 ( 1 , 2996361 ) 13576 1731 ( 9 , 332929 ) 13575 13577 1731 1731 1498180 ( 3 , 998787 ) 499392 ( 577 , 5193 ) 2308 166460 1498181 499395 166469 2885 M P P M 2 2 3 1 1 577 4 _____________________________________________________________________________ 13578 1732 ( 2 , 1499912 ) 13580 1732 ( 8 , 374978 ) 13579 13581 1732 1732 749955 ( 4 , 749956 ) 374976 ( 866 , 3464 ) 1299 187485 749957 P 374980 187493 2165 1 M 4 P M 2 2 1 433 4 _____________________________________________________________________________ 13582 1733 ( 1 , 3003289 ) 1501644 1501645 P 1 0 1 1 _____________________________________________________________________________ 13583 1734 ( 2 , 1503378 ) 13585 1734 ( 18 , 167042 ) 13584 13586 13587 13588 13589 1734 1734 1734 1734 1734 751688 ( 6 , 501126 ) 250560 ( 34 , 88434 ) 44200 ( 306 , 9826 ) 4760 ( 102 , 29478 ) ( 578 , 5202 ) 83512 14688 2312 751690 M 250566 83530 5066 2890 M 6 M 44234 14790 2 2 M M M 34 M 0 34 7 102 578 7 _____________________________________________________________________________ 13590 13591 1735 1735 ( 1 , 3010225 ) ( 5 , 602045 ) 1505112 301020 1505113 301025 M P 5 1 635 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13592 13593 1735 1735 ( 25 , 120409 ) ( 347 , 8675 ) 60192 4164 60217 4511 M P 1 2 2 347 4 _____________________________________________________________________________ 13594 1736 ( 2 , 1506848 ) 13596 1736 ( 8 , 376712 ) 13595 13597 13598 13599 13600 13601 13602 13603 13604 13605 13606 13607 13608 13609 13610 13611 13612 13613 13614 13615 1736 1736 1736 1736 1736 1736 1736 1736 1736 1736 1736 1736 1736 1736 1736 1736 1736 1736 1736 1736 ( 4 , 753424 ) ( 14 , 215264 ) ( 16 , 188356 ) ( 28 , 107632 ) 753423 376710 188352 107625 94170 53802 753425 P 376714 M 188360 107639 94186 M 53830 47105 P ( 62 , 48608 ) 24273 24335 M ( 98 , 30752 ) ( 112 , 26908 ) ( 124 , 24304 ) ( 196 , 15376 ) ( 224 , 13454 ) ( 248 , 12152 ) 15327 13398 12090 26936 13510 1 M 5952 6200 M 1 M 2 M M 8 ( 496 , 6076 ) 2790 3286 M 62 ( 784 , 3844 ) ( 868 , 3472 ) ( 992 , 3038 ) ( 1568 , 1922 ) 1530 1302 1023 177 2314 2170 2015 1745 M 217 M 2 M 434 M P 62 248 4040 3689 14 7 3648 3255 14 31 ( 392 , 7688 ) ( 434 , 6944 ) 7 56 M 7786 6839 2 P 7590 6615 M M 15425 12214 8 M 47073 26880 2 M ( 32 , 94178 ) ( 56 , 53816 ) 1 31 4 18 1 22 636 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 13616 1737 ( 1 , 3017169 ) 13618 1737 ( 9 , 335241 ) 167616 ( 81 , 37249 ) 18584 ( 579 , 5211 ) 2316 13617 13619 13620 13621 13622 1737 1737 1737 1737 1737 ( 3 , 1005723 ) ( 27 , 111747 ) ( 193 , 15633 ) 1508584 502860 55860 7720 1508585 502863 M 167625 P 1 M M 1 9 M 18665 2895 3 M 55887 7913 P 3 193 2 5 579 7 _____________________________________________________________________________ 13623 1738 ( 2 , 1510322 ) 13625 1738 ( 158 , 19118 ) 13624 13626 1738 1738 755160 ( 22 , 137302 ) 68640 ( 242 , 12482 ) 6120 9480 755162 68662 9638 M 6362 M M 2 22 158 M 0 2 4 4 _____________________________________________________________________________ 13627 1739 ( 1 , 3024121 ) 13629 1739 ( 47 , 64343 ) 13628 13630 1739 1739 1512060 ( 37 , 81733 ) 40848 ( 1369 , 2209 ) 420 32148 1512061 40885 32195 1789 P M P M 2 2 1 37 1 47 4 _____________________________________________________________________________ 13631 1740 ( 2 , 1513800 ) 13633 1740 ( 6 , 504600 ) 13632 13634 13635 1740 1740 1740 756899 756901 P ( 4 , 756900 ) 378448 378452 M ( 8 , 378450 ) 189221 189229 P ( 10 , 302760 ) 252297 151375 252303 151385 M M 1 4 3 1 5 637 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13636 1740 ( 12 , 252300 ) 126144 13638 1740 ( 20 , 151380 ) 75680 13637 13639 13640 13641 13642 13643 13644 13645 13646 13647 13648 13649 13650 13651 13652 13653 13654 13655 13656 13657 13658 13659 13660 13661 13662 1740 1740 1740 1740 1740 1740 1740 1740 1740 1740 1740 1740 1740 1740 1740 1740 1740 1740 1740 1740 1740 1740 1740 1740 1740 ( 18 , 168200 ) ( 24 , 126150 ) ( 30 , 100920 ) 126156 84091 84109 P 63063 63087 M 50445 75700 50475 42068 M ( 50 , 60552 ) 30251 30301 P ( 58 , 52200 ) ( 60 , 50460 ) ( 72 , 42050 ) ( 90 , 33640 ) ( 100 , 30276 ) ( 116 , 26100 ) ( 120 , 25230 ) ( 150 , 20184 ) ( 174 , 17400 ) ( 180 , 16820 ) ( 200 , 15138 ) ( 232 , 13050 ) ( 290 , 10440 ) ( 300 , 10092 ) 26071 25200 20989 16775 15088 12992 12555 10017 37865 21061 13108 7469 7669 P 4896 5365 5196 M M M 4176 4524 M ( 450 , 6728 ) 3139 3589 P ( 522 , 5800 ) ( 580 , 5220 ) 4025 2639 2320 4385 3161 2900 M M M 4 116 15 M 87 3 20 1 29 M ( 348 , 8700 ) ( 360 , 8410 ) 5 M M 5075 1 M 12675 6641 60 M 8787 6409 29 M 15188 8500 1 P 16865 15 5 M 8613 8320 4 M 25260 10167 3 M 26129 12 20 M 42032 37825 1 M ( 36 , 84100 ) ( 40 , 75690 ) M 145 12 348 5 1 29 580 638 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13663 1740 ( 600 , 5046 ) 2223 2823 M 3 13665 1740 ( 870 , 3480 ) 1305 2175 M 435 13664 13666 13667 13668 13669 13670 1740 1740 1740 1740 1740 1740 ( 696 , 4350 ) ( 900 , 3364 ) ( 1044 , 2900 ) ( 1160 , 2610 ) ( 1450 , 2088 ) ( 1682 , 1800 ) 1827 2523 1232 2132 928 725 319 59 M 87 M 1972 M 1769 M 1885 4 116 M 1741 145 P 1 8 29 32 40 _____________________________________________________________________________ 13671 1741 ( 1 , 3031081 ) 1515540 1515541 P 1 0 1 1 _____________________________________________________________________________ 13672 1742 ( 2 , 1517282 ) 13674 1742 ( 134 , 22646 ) 13673 13675 1742 1742 ( 26 , 116714 ) ( 338 , 8978 ) 758640 58344 11256 4320 758642 58370 11390 4658 M M 2 26 M M 0 4 2 134 4 _____________________________________________________________________________ 13676 1743 ( 1 , 3038049 ) 13678 1743 ( 7 , 434007 ) 217000 217007 ( 21 , 144669 ) 72324 72345 13677 13679 13680 13681 13682 13683 1743 1743 1743 1743 1743 1743 ( 3 , 1012683 ) ( 9 , 337561 ) 1519024 506340 168776 1519025 506343 168785 M M 31025 P ( 83 , 36603 ) 18260 18343 M 24143 7 P 30976 24080 3 M ( 49 , 62001 ) ( 63 , 48223 ) P M 1 1 7 21 83 1 639 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13684 1743 ( 147 , 20667 ) 13686 1743 ( 441 , 6889 ) 3224 3665 P ( 747 , 4067 ) 1660 2407 M 13685 13687 13688 1743 1743 1743 ( 249 , 12201 ) ( 581 , 5229 ) 10260 5976 2324 10407 6225 2905 M M 3 1 M 249 581 4 9 83 13 _____________________________________________________________________________ 13689 1744 ( 2 , 1520768 ) 13691 1744 ( 8 , 380192 ) 13690 13692 13693 13694 13695 13696 13697 13698 1744 1744 1744 1744 1744 1744 1744 1744 760383 760385 ( 4 , 760384 ) 380190 380194 ( 16 , 190096 ) 95040 95056 ( 32 , 95048 ) ( 64 , 47524 ) ( 128 , 23762 ) ( 218 , 13952 ) ( 436 , 6976 ) ( 872 , 3488 ) 190092 47508 23730 11817 6867 3270 1308 P M 190100 16 M 4 P 1 M 11945 2180 4 M 23794 3706 2 M 47540 7085 1 M 2 109 M M 218 2 8 436 10 _____________________________________________________________________________ 13699 1745 ( 1 , 3045025 ) 13701 1745 ( 25 , 121801 ) 13700 13702 1745 1745 1522512 ( 5 , 609005 ) 304500 ( 349 , 8725 ) 4188 60888 1522513 304505 60913 4537 M M P P 2 1 2 5 1 349 4 _____________________________________________________________________________ 13703 13704 1746 1746 ( 2 , 1524258 ) ( 6 , 508086 ) 762128 254040 762130 254046 M M 2 6 640 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13705 1746 ( 18 , 169362 ) 13707 1746 ( 162 , 18818 ) 13706 13708 13709 1746 1746 1746 84672 ( 54 , 56454 ) 28200 ( 194 , 15714 ) 7760 ( 582 , 5238 ) 9328 2328 84690 28254 M 9490 7954 2910 M M 2 M M 6 18 194 0 7 582 7 _____________________________________________________________________________ 13710 1747 ( 1 , 3052009 ) 1526004 1526005 P 1 0 1 1 _____________________________________________________________________________ 13711 1748 ( 2 , 1527752 ) 13713 1748 ( 8 , 381938 ) 13712 13714 13715 13716 13717 13718 13719 13720 13721 13722 13723 1748 1748 1748 1748 1748 1748 1748 1748 1748 1748 1748 763875 763877 P ( 4 , 763876 ) 381936 ( 38 , 80408 ) 40185 40223 M ( 76 , 40204 ) 20064 20140 M ( 46 , 66424 ) ( 92 , 33212 ) ( 152 , 20102 ) ( 184 , 16606 ) 190965 33189 16560 9975 8211 381940 M 190973 33235 4 P 1 19 M 16652 23 76 M 10127 8395 1 92 M 19 M ( 722 , 4232 ) 1755 2477 P 1 ( 1058 , 2888 ) 915 1973 P 1 ( 874 , 3496 ) ( 1444 , 2116 ) 1311 336 2185 1780 M M 23 437 4 9 4 13 _____________________________________________________________________________ 13724 13725 1749 1749 ( 1 , 3059001 ) ( 3 , 1019667 ) 1529500 509832 1529501 509835 M P 3 1 641 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13726 1749 ( 9 , 339889 ) 169940 13728 1749 ( 33 , 92697 ) 46332 46365 M ( 99 , 30899 ) 15400 15499 M 13727 13729 13730 13731 13732 13733 13734 13735 13736 1749 1749 1749 1749 1749 1749 1749 1749 1749 ( 11 , 278091 ) ( 53 , 57717 ) ( 121 , 25281 ) ( 159 , 19239 ) 139040 28832 12580 9540 169949 139051 28885 1 M 33 M 12701 9699 P M 53 11 P 1 159 ( 363 , 8427 ) 4032 4395 M 3 ( 583 , 5247 ) 2332 2915 M 583 ( 477 , 6413 ) ( 1089 , 2809 ) 2968 860 3445 M 1949 11 53 P 4 9 1 13 _____________________________________________________________________________ 13737 1750 ( 2 , 1531250 ) 13739 1750 ( 14 , 218750 ) 13738 13740 13741 13742 13743 13744 13745 13746 1750 1750 1750 1750 1750 1750 1750 1750 ( 10 , 306250 ) 765624 765626 109368 109382 153120 153130 30600 30650 M ( 98 , 31250 ) 15576 15674 M ( 250 , 12250 ) 21840 6000 21910 6250 2 M 14 M ( 50 , 61250 ) ( 70 , 43750 ) M 10 50 M 70 2 M 250 ( 350 , 8750 ) 4200 4550 M 350 ( 1250 , 2450 ) 600 1850 M 50 ( 490 , 6250 ) 2880 3370 M 10 0 10 10 _____________________________________________________________________________ 13747 13748 1751 1751 ( 1 , 3066001 ) ( 17 , 180353 ) 1533000 90168 1533001 90185 M P 17 1 642 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13749 13750 1751 1751 ( 103 , 29767 ) ( 289 , 10609 ) 14832 5160 14935 5449 P M 2 2 103 1 4 _____________________________________________________________________________ 13751 1752 ( 2 , 1534752 ) 13753 1752 ( 6 , 511584 ) 13752 13754 13755 13756 13757 13758 13759 13760 13761 13762 13763 13764 13765 13766 13767 13768 13769 13770 13771 13772 1752 1752 1752 1752 1752 1752 1752 1752 1752 1752 1752 1752 1752 1752 1752 1752 1752 1752 1752 1752 767375 767377 P 1 ( 4 , 767376 ) 383686 383690 M 2 ( 8 , 383688 ) 191840 191848 M 8 ( 12 , 255792 ) ( 16 , 191844 ) ( 18 , 170528 ) ( 24 , 127896 ) 255789 127890 255795 M 127902 95914 95930 M 63936 63960 M 85255 85273 47945 47977 P ( 48 , 63948 ) 31950 31998 M ( 72 , 42632 ) ( 96 , 31974 ) ( 144 , 21316 ) ( 146 , 21024 ) ( 288 , 10658 ) ( 292 , 10512 ) 42614 21280 15939 10586 10439 5185 5110 42650 5402 1 6 8 3 M P M 1 M 3285 3723 M 219 ( 876 , 3504 ) 1314 2190 M 438 ( 1168 , 2628 ) ( 1314 , 2336 ) 2336 730 511 2920 1898 1825 M 73 584 M M 2 146 ( 438 , 7008 ) ( 584 , 5256 ) 24 2 M 10730 6 1 M 16035 5473 2 M 21352 10585 M P ( 32 , 95922 ) ( 36 , 85264 ) 3 146 4 18 73 22 643 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 13773 1753 ( 1 , 3073009 ) 1536504 1536505 P 1 0 1 1 _____________________________________________________________________________ 13774 1754 ( 2 , 1538258 ) 769128 769130 M 0 1 1 2 _____________________________________________________________________________ 13775 1755 ( 1 , 3080025 ) 13777 1755 ( 5 , 616005 ) 13776 13778 13779 13780 13781 13782 13783 13784 13785 13786 13787 13788 13789 13790 13791 13792 13793 13794 1755 1755 1755 1755 1755 1755 1755 1755 1755 1755 1755 1755 1755 1755 1755 1755 1755 1755 ( 3 , 1026675 ) ( 9 , 342225 ) ( 13 , 236925 ) ( 15 , 205335 ) ( 25 , 123201 ) ( 27 , 114075 ) 1540012 513336 308000 171108 118456 102660 61588 57024 1540013 513339 M 308005 P 3 M 171117 5 M 118469 9 M 102675 61613 P 57051 13 M 1 M 39468 39507 M 39 ( 65 , 47385 ) 23660 23725 M 65 ( 75 , 41067 ) ( 81 , 38025 ) ( 117 , 26325 ) ( 135 , 22815 ) ( 169 , 18225 ) ( 195 , 15795 ) ( 225 , 13689 ) ( 243 , 12675 ) ( 325 , 9477 ) 34200 20496 18972 13104 11340 34245 M 20571 9197 P 6732 6957 M 6216 4576 7995 6459 4901 9 M 9028 7800 3 M 13221 11475 45 M 19053 M M M M 15 27 ( 39 , 78975 ) ( 45 , 68445 ) 1 1 117 135 195 9 3 13 644 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13795 1755 ( 351 , 8775 ) 4212 4563 M 351 13797 1755 ( 507 , 6075 ) 2784 3291 M 3 13796 13798 13799 13800 13801 13802 13803 13804 13805 1755 1755 1755 1755 1755 1755 1755 1755 1755 ( 405 , 7605 ) ( 585 , 5265 ) ( 675 , 4563 ) ( 729 , 4225 ) ( 845 , 3645 ) ( 975 , 3159 ) ( 1053 , 2925 ) ( 1215 , 2535 ) ( 1521 , 2025 ) 3600 2340 1944 1748 1400 1092 936 660 252 4005 M 2925 45 M 2619 585 M 2477 27 P 2245 1 M 2067 5 M 1989 M 1773 M 1875 39 117 M 15 4 27 9 31 _____________________________________________________________________________ 13806 1756 ( 2 , 1541768 ) 13808 1756 ( 8 , 385442 ) 13807 13809 1756 1756 770883 ( 4 , 770884 ) 385440 ( 878 , 3512 ) 1317 192717 770885 P 385444 192725 2195 1 M 4 P M 2 2 439 1 4 _____________________________________________________________________________ 13810 1757 ( 1 , 3087049 ) 13812 1757 ( 49 , 63001 ) 13811 13813 1757 1757 ( 7 , 441007 ) ( 251 , 12299 ) 1543524 220500 31476 6024 1543525 220507 31525 6275 P M M 2 P 1 2 7 1 251 4 _____________________________________________________________________________ 13814 13815 1758 1758 ( 2 , 1545282 ) ( 6 , 515094 ) 772640 257544 772642 257550 M M 2 6 645 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13816 13817 1758 1758 ( 18 , 171698 ) ( 586 , 5274 ) 85840 2344 85858 2930 M M 0 4 586 2 4 _____________________________________________________________________________ 13818 1759 ( 1 , 3094081 ) 1547040 1547041 P 1 0 1 1 _____________________________________________________________________________ 13819 1760 ( 2 , 1548800 ) 13821 1760 ( 8 , 387200 ) 13820 13822 13823 13824 13825 13826 13827 13828 13829 13830 13831 13832 13833 13834 13835 13836 13837 13838 1760 1760 1760 1760 1760 1760 1760 1760 1760 1760 1760 1760 1760 1760 1760 1760 1760 1760 ( 4 , 774400 ) ( 10 , 309760 ) ( 16 , 193600 ) ( 20 , 154880 ) ( 22 , 140800 ) 774399 387198 193596 154875 774401 P 387202 M 193604 2 M 154885 96792 96808 M 70389 70411 M 77430 1 77450 4 M 8 M 10 11 ( 32 , 96800 ) 48384 48416 M 32 ( 44 , 70400 ) 35178 35222 M 22 ( 40 , 77440 ) ( 50 , 61952 ) ( 64 , 48400 ) ( 80 , 38720 ) ( 88 , 35200 ) ( 100 , 30976 ) ( 110 , 28160 ) ( 128 , 24200 ) ( 160 , 19360 ) ( 176 , 17600 ) ( 200 , 15488 ) 38700 30951 24168 19320 17556 15438 14025 12036 38740 31001 24232 19400 17644 15538 M P M 12164 8 40 44 M 2 M 9760 M 7644 7844 M 8888 1 M 9600 8712 20 M 14135 M M 5 55 4 160 88 4 646 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13839 1760 ( 220 , 14080 ) 6930 7150 M 13841 1760 ( 256 , 12100 ) 5922 6178 M 13840 13842 13843 13844 13845 13846 13847 13848 13849 13850 13851 13852 13853 13854 13855 13856 13857 13858 1760 1760 1760 1760 1760 1760 1760 1760 1760 1760 1760 1760 1760 1760 1760 1760 1760 1760 ( 242 , 12800 ) 6279 6521 110 P 1 2 ( 320 , 9680 ) 4680 5000 M 40 ( 400 , 7744 ) 3672 4072 M 8 ( 352 , 8800 ) ( 440 , 7040 ) ( 484 , 6400 ) ( 512 , 6050 ) ( 550 , 5632 ) ( 640 , 4840 ) ( 704 , 4400 ) ( 800 , 3872 ) ( 880 , 3520 ) ( 968 , 3200 ) ( 1100 , 2816 ) ( 1210 , 2560 ) ( 1280 , 2420 ) ( 1408 , 2200 ) ( 1600 , 1936 ) 4224 3300 2958 2769 2541 2100 1848 1536 1320 1116 858 675 570 396 168 4576 M 3740 352 M 3442 220 M 3281 2 P 3091 1 M 2740 11 M 2552 20 M 2336 88 M 2200 32 M 2084 440 M 1958 M 1850 M 1885 4 22 M 1804 5 10 M 1768 M 44 4 36 8 40 _____________________________________________________________________________ 13859 1761 ( 1 , 3101121 ) 13861 1761 ( 9 , 344569 ) 13860 13862 1761 1761 ( 3 , 1033707 ) ( 587 , 5283 ) 1550560 516852 172280 2348 1550561 516855 172289 2935 M M P P 2 2 587 4 1 3 1 647 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 13863 1762 ( 2 , 1552322 ) 776160 776162 M 0 1 2 1 _____________________________________________________________________________ 13864 1763 ( 1 , 3108169 ) 13866 1763 ( 43 , 72283 ) 13865 13867 1763 1763 1554084 ( 41 , 75809 ) 37884 ( 1681 , 1849 ) 84 36120 1554085 37925 36163 1765 P M P M 2 2 1 41 1 43 4 _____________________________________________________________________________ 13868 1764 ( 2 , 1555848 ) 13870 1764 ( 6 , 518616 ) 13869 13871 13872 13873 13874 13875 13876 13877 13878 13879 13880 13881 13882 13883 13884 1764 1764 1764 1764 1764 1764 1764 1764 1764 1764 1764 1764 1764 1764 1764 777923 777925 P ( 4 , 777924 ) 388960 388964 M ( 8 , 388962 ) 194477 194485 P ( 12 , 259308 ) ( 14 , 222264 ) ( 18 , 172872 ) ( 24 , 129654 ) ( 28 , 111132 ) 259305 129648 111125 259311 86445 M 55552 55580 M 64839 3 1 M 86427 64815 4 M 129660 111139 1 M 9 M 28 43200 43236 M 36 ( 54 , 57624 ) 28785 28839 M 3 ( 56 , 55566 ) ( 72 , 43218 ) ( 84 , 37044 ) ( 98 , 31752 ) ( 108 , 28812 ) 37023 27755 21573 18480 15827 14352 37065 27811 21645 18564 15925 14460 M M M M M M 7 3 ( 36 , 86436 ) ( 42 , 74088 ) 12 21 7 9 84 49 12 648 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13885 1764 ( 126 , 24696 ) 12285 13887 1764 ( 168 , 18522 ) 9177 13886 13888 13889 13890 13891 13892 13893 13894 13895 13896 13897 13898 13899 13900 13901 13902 13903 13904 1764 1764 1764 1764 1764 1764 1764 1764 1764 1764 1764 1764 1764 1764 1764 1764 1764 1764 ( 162 , 19208 ) ( 196 , 15876 ) ( 216 , 14406 ) ( 252 , 12348 ) ( 294 , 10584 ) 12411 M 9523 9685 P 7840 8036 M 7095 6048 5145 9345 7311 6300 5439 1 M 21 196 M 3 M 252 M 147 ( 324 , 9604 ) 4640 4964 M 4 ( 392 , 7938 ) 3773 4165 M 49 ( 378 , 8232 ) ( 504 , 6174 ) ( 588 , 5292 ) ( 648 , 4802 ) ( 686 , 4536 ) ( 756 , 4116 ) ( 882 , 3528 ) ( 1134 , 2744 ) ( 1176 , 2646 ) ( 1372 , 2268 ) ( 1512 , 2058 ) 3927 2835 2352 2077 1925 1680 1323 805 735 448 273 4305 M 3339 21 M 2940 63 M 2725 588 P 2611 1 M 2436 7 M 2205 84 M 1939 M 1820 M 1911 441 7 M 1785 M 63 147 28 4 33 21 37 _____________________________________________________________________________ 13905 1765 ( 1 , 3115225 ) 13907 1765 ( 25 , 124609 ) 13906 13908 1765 1765 1557612 ( 5 , 623045 ) 311520 ( 353 , 8825 ) 4236 62292 1557613 311525 62317 4589 M M P P 2 1 2 353 4 5 1 649 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 13909 1766 ( 2 , 1559378 ) 779688 779690 M 0 1 2 1 _____________________________________________________________________________ 13910 1767 ( 1 , 3122289 ) 13912 1767 ( 9 , 346921 ) 173456 173465 ( 31 , 100719 ) 50344 50375 13911 13913 13914 13915 13916 13917 13918 13919 13920 13921 13922 1767 1767 1767 1767 1767 1767 1767 1767 1767 1767 1767 ( 3 , 1040763 ) ( 19 , 164331 ) 1561144 520380 82156 1561145 520383 27360 27417 ( 171 , 18259 ) 9044 9215 ( 279 , 11191 ) 16740 5456 P 82175 ( 57 , 54777 ) ( 93 , 33573 ) M 1 M 31 M 57 M 93 M 19 M ( 361 , 8649 ) 4144 4505 P 1 ( 961 , 3249 ) 1144 2105 P 1 ( 589 , 5301 ) ( 1083 , 2883 ) 2356 900 2945 1983 M M 3 1 19 M 16833 5735 P 31 589 4 9 3 13 _____________________________________________________________________________ 13923 1768 ( 2 , 1562912 ) 13925 1768 ( 8 , 390728 ) 13924 13926 13927 13928 13929 13930 1768 1768 1768 1768 1768 1768 781455 781457 ( 4 , 781456 ) 390726 390730 ( 16 , 195364 ) 97674 97690 ( 26 , 120224 ) 195360 60099 195368 60125 P M M 48857 P ( 52 , 60112 ) 30030 30082 M 45985 8 M 48825 45951 2 M ( 32 , 97682 ) ( 34 , 91936 ) 1 M 2 1 13 17 26 650 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13931 1768 ( 68 , 45968 ) 13933 1768 ( 136 , 22984 ) 13932 13934 13935 13936 13937 13938 13939 13940 13941 13942 13943 13944 1768 1768 1768 1768 1768 1768 1768 1768 1768 1768 1768 1768 ( 104 , 30056 ) ( 208 , 15028 ) ( 272 , 11492 ) 22950 14976 11424 7410 5610 23018 M 15080 M 11560 7618 5882 M 4455 4793 P ( 442 , 7072 ) 3315 3757 M ( 544 , 5746 ) ( 578 , 5408 ) ( 676 , 4624 ) ( 884 , 3536 ) ( 1156 , 2704 ) ( 1352 , 2312 ) 3549 2601 2415 1974 1326 774 480 3965 104 M 26 M ( 338 , 9248 ) ( 416 , 7514 ) 34 1 M 3145 221 17 P 2650 1 M 2210 2 M 1930 442 M 1832 34 13 M 2993 136 2 M 4 18 8 22 _____________________________________________________________________________ 13945 1769 ( 1 , 3129361 ) 13947 1769 ( 61 , 51301 ) 13946 13948 1769 1769 ( 29 , 107909 ) ( 841 , 3721 ) 1564680 53940 25620 1440 1564681 53969 25681 2281 P P M M 2 2 29 1 1 61 4 _____________________________________________________________________________ 13949 1770 ( 2 , 1566450 ) 13951 1770 ( 10 , 313290 ) 13950 13952 13953 1770 1770 1770 783224 783226 ( 6 , 522150 ) 261072 261078 ( 18 , 174050 ) 87016 87034 ( 30 , 104430 ) 156640 52200 156650 52230 M M M M M 2 6 2 10 30 651 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13954 1770 ( 50 , 62658 ) 13956 1770 ( 118 , 26550 ) 13955 13957 13958 13959 13960 13961 1770 1770 1770 1770 1770 1770 ( 90 , 34810 ) ( 150 , 20886 ) 31304 17360 13216 10368 31354 M 17450 M 13334 10518 4248 4602 M ( 590 , 5310 ) 2360 2950 M ( 1062 , 2950 ) 3256 944 3706 10 M ( 354 , 8850 ) ( 450 , 6962 ) 2 118 M 354 M 2006 6 2 590 M 0 13 118 13 _____________________________________________________________________________ 13962 1771 ( 1 , 3136441 ) 13964 1771 ( 11 , 285131 ) 13963 13965 13966 13967 13968 13969 13970 13971 13972 13973 13974 1771 1771 1771 1771 1771 1771 1771 1771 1771 1771 1771 1568220 1568221 ( 7 , 448063 ) 224028 224035 ( 23 , 136367 ) 68172 68195 ( 49 , 64009 ) ( 77 , 40733 ) ( 121 , 25921 ) ( 161 , 19481 ) ( 253 , 12397 ) 142560 31980 20328 12900 9660 6072 142571 M 32029 20405 9821 M 3229 P ( 847 , 3703 ) 1428 2275 M ( 1127 , 2783 ) 828 3179 1955 1 23 77 P 1 161 1 M M 1 11 M 2700 2640 M M 13021 6325 7 P ( 529 , 5929 ) ( 539 , 5819 ) M P 253 11 7 4 9 23 13 _____________________________________________________________________________ 13975 13976 1772 1772 ( 2 , 1569992 ) ( 4 , 784996 ) 784995 392496 784997 392500 P M 1 4 652 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13977 13978 1772 1772 ( 8 , 392498 ) ( 886 , 3544 ) 196245 1329 196253 2215 M P 2 2 1 443 4 _____________________________________________________________________________ 13979 1773 ( 1 , 3143529 ) 13981 1773 ( 9 , 349281 ) 174636 ( 81 , 38809 ) 19364 ( 591 , 5319 ) 2364 13980 13982 13983 13984 13985 1773 1773 1773 1773 1773 ( 3 , 1047843 ) ( 27 , 116427 ) ( 197 , 15957 ) 1571764 523920 58200 7880 1571765 523923 M 174645 P 1 M M 1 9 M 19445 2955 3 M 58227 8077 P 3 197 2 5 591 7 _____________________________________________________________________________ 13986 1774 ( 2 , 1573538 ) 786768 786770 M 0 1 2 1 _____________________________________________________________________________ 13987 1775 ( 1 , 3150625 ) 13989 1775 ( 25 , 126025 ) 13988 13990 13991 13992 13993 1775 1775 1775 1775 1775 1575312 ( 5 , 630125 ) 315060 ( 71 , 44375 ) 22152 ( 355 , 8875 ) 4260 ( 125 , 25205 ) ( 625 , 5041 ) 63000 12540 2208 1575313 315065 63025 4615 2833 5 M 22223 12665 M P 25 M M P 1 71 M 355 2 5 1 5 7 _____________________________________________________________________________ 13994 13995 1776 1776 ( 2 , 1577088 ) ( 4 , 788544 ) 788543 394270 788545 394274 P M 1 2 653 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 13996 1776 ( 6 , 525696 ) 13998 1776 ( 12 , 262848 ) 13997 13999 14000 14001 14002 14003 14004 14005 14006 14007 14008 14009 14010 14011 14012 14013 14014 14015 14016 14017 14018 14019 14020 14021 14022 1776 1776 1776 1776 1776 1776 1776 1776 1776 1776 1776 1776 1776 1776 1776 1776 1776 1776 1776 1776 1776 1776 1776 1776 1776 ( 8 , 394272 ) ( 16 , 197136 ) ( 18 , 175232 ) ( 24 , 131424 ) 262845 197132 131418 262851 M 197140 M 131430 98560 98576 M 65700 65724 M 87607 3 87625 4 M 6 16 P 1 12 ( 32 , 98568 ) 49268 49300 M 4 ( 48 , 65712 ) 32832 32880 M 48 ( 36 , 87616 ) ( 64 , 49284 ) ( 72 , 43808 ) ( 74 , 42624 ) ( 96 , 32856 ) ( 128 , 24642 ) ( 144 , 21904 ) ( 148 , 21312 ) ( 192 , 16428 ) ( 222 , 14208 ) ( 288 , 10952 ) ( 296 , 10656 ) 43790 24610 21868 21275 16380 12257 10880 10582 43826 M 24674 M 21940 16476 11024 1 M M 5332 5620 M 5476 12 P 8310 5180 37 M 12385 7215 4 M 8118 6993 2 M 21349 10730 2 16 M 6 M M 111 4 148 ( 384 , 8214 ) 3915 4299 M 3 ( 576 , 5476 ) 2450 3026 M 2 ( 444 , 7104 ) ( 592 , 5328 ) ( 666 , 4736 ) ( 888 , 3552 ) ( 1152 , 2738 ) 3330 2368 2035 1332 793 3774 2960 2701 2220 1945 M M M M P 74 222 592 37 444 1 654 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14023 14024 1776 1776 ( 1184 , 2664 ) ( 1332 , 2368 ) 740 518 1924 M 1850 M 148 4 27 74 31 _____________________________________________________________________________ 14025 1777 ( 1 , 3157729 ) 1578864 1578865 P 1 0 1 1 _____________________________________________________________________________ 14026 1778 ( 2 , 1580642 ) 14028 1778 ( 98 , 32258 ) 14027 14029 1778 1778 ( 14 , 225806 ) ( 254 , 12446 ) 790320 112896 16080 6096 790322 M 112910 16178 6350 2 M M M 0 14 2 4 254 4 _____________________________________________________________________________ 14030 1779 ( 1 , 3164841 ) 14032 1779 ( 9 , 351649 ) 14031 14033 1779 1779 ( 3 , 1054947 ) ( 593 , 5337 ) 1582420 527472 175820 2372 1582421 527475 175829 2965 M M P P 2 2 593 1 3 4 1 _____________________________________________________________________________ 14034 1780 ( 2 , 1584200 ) 14036 1780 ( 8 , 396050 ) 14035 14037 14038 14039 14040 14041 1780 1780 1780 1780 1780 1780 ( 4 , 792100 ) ( 10 , 316840 ) ( 20 , 158420 ) ( 40 , 79210 ) ( 50 , 63368 ) ( 100 , 31684 ) 792099 396048 198021 158415 79200 39585 31659 15792 792101 P 396052 M 198029 158425 79220 39625 31709 15892 1 4 P M M P M 1 M 5 1 5 20 4 655 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14042 1780 ( 178 , 17800 ) 14044 1780 ( 356 , 8900 ) 4272 4628 M 356 ( 890 , 3560 ) 1335 2225 M 445 14043 14045 14046 1780 1780 1780 ( 200 , 15842 ) ( 712 , 4450 ) 8811 7821 1869 8989 8021 2581 M 89 P 1 M 89 4 9 13 _____________________________________________________________________________ 14047 1781 ( 1 , 3171961 ) 14049 1781 ( 137 , 23153 ) 14048 14050 1781 1781 1585980 ( 13 , 243997 ) 121992 ( 169 , 18769 ) 9300 11508 1585981 122005 11645 9469 P M M 2 P 2 1 13 1 137 4 _____________________________________________________________________________ 14051 1782 ( 2 , 1587762 ) 14053 1782 ( 18 , 176418 ) 14052 14054 14055 14056 14057 14058 14059 14060 14061 14062 14063 1782 1782 1782 1782 1782 1782 1782 1782 1782 1782 1782 793880 793882 ( 6 , 529254 ) 264624 264630 ( 22 , 144342 ) 72160 72182 88200 M 2 M 88218 6 M 18 M 22 ( 54 , 58806 ) 29376 29430 ( 162 , 19602 ) 9720 9882 M 162 6440 6682 M 2 ( 66 , 48114 ) ( 198 , 16038 ) ( 242 , 13122 ) 24024 7920 24090 8118 M 54 M 66 M 198 ( 486 , 6534 ) 3024 3510 M 54 ( 726 , 4374 ) 1824 2550 M 6 ( 594 , 5346 ) ( 1458 , 2178 ) 2376 360 2970 1818 M M 594 0 13 18 13 656 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 14064 1783 ( 1 , 3179089 ) 1589544 1589545 P 1 0 1 1 _____________________________________________________________________________ 14065 1784 ( 2 , 1591328 ) 14067 1784 ( 8 , 397832 ) 14066 14068 14069 14070 14071 1784 1784 1784 1784 1784 795663 795665 ( 4 , 795664 ) 397830 397834 ( 16 , 198916 ) 99450 99466 198912 ( 32 , 99458 ) 49713 ( 892 , 3568 ) 1338 ( 446 , 7136 ) 3345 P M 198920 49745 3791 2230 1 2 M 8 M M P M 2 1 223 2 5 446 7 _____________________________________________________________________________ 14072 1785 ( 1 , 3186225 ) 14074 1785 ( 5 , 637245 ) 318620 318625 M ( 9 , 354025 ) 177008 177017 P 14073 14075 14076 14077 14078 14079 14080 14081 14082 14083 14084 14085 1785 1785 1785 1785 1785 1785 1785 1785 1785 1785 1785 1785 ( 3 , 1062075 ) ( 7 , 455175 ) ( 15 , 212415 ) ( 17 , 187425 ) ( 21 , 151725 ) ( 25 , 127449 ) 1593112 531036 227584 106200 1593113 531039 M 227591 106215 93721 M 63712 63737 P 75873 45500 45535 M ( 49 , 65025 ) 32488 32537 P ( 51 , 62475 ) ( 63 , 50575 ) 35380 31212 25256 35425 31263 25319 M M M 1 5 7 1 M 15 17 M ( 35 , 91035 ) ( 45 , 70805 ) 3 M 93704 75852 P 21 1 35 5 1 51 7 657 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14086 1785 ( 75 , 42483 ) 14088 1785 ( 105 , 30345 ) 14087 14089 14090 14091 14092 14093 14094 14095 14096 14097 14098 14099 14100 14101 14102 14103 14104 14105 14106 14107 14108 14109 14110 14111 1785 1785 1785 1785 1785 1785 1785 1785 1785 1785 1785 1785 1785 1785 1785 1785 1785 1785 1785 1785 1785 1785 1785 1785 ( 85 , 37485 ) ( 119 , 26775 ) ( 147 , 21675 ) ( 153 , 20825 ) ( 175 , 18207 ) ( 225 , 14161 ) ( 245 , 13005 ) ( 255 , 12495 ) ( 289 , 11025 ) ( 315 , 10115 ) 21204 18700 15120 13328 10764 10336 21279 M 18785 M 15225 10911 M 6380 6625 M 6120 5368 4900 6375 5657 5215 ( 441 , 7225 ) 3392 3833 P ( 595 , 5355 ) ( 735 , 4335 ) ( 765 , 4165 ) ( 833 , 3825 ) ( 867 , 3675 ) ( 1071 , 2975 ) ( 1225 , 2601 ) ( 1275 , 2499 ) ( 1445 , 2205 ) ( 1575 , 2023 ) 2772 2380 1800 1700 1496 1404 952 688 612 380 224 3297 2975 2535 2465 2329 2271 35 357 17 1 21 595 M 15 M 85 M 17 M M 1799 1 M 1887 1825 255 M M 1913 5 M 2023 3 119 P 1 51 M M 17 1 M M ( 525 , 6069 ) 7 P 4641 3961 M M 4284 3536 3 P ( 357 , 8925 ) ( 425 , 7497 ) 119 M 9191 7193 105 M 9016 6968 85 M 13447 10489 3 5 8 32 7 40 658 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 14112 1786 ( 2 , 1594898 ) 14114 1786 ( 94 , 33934 ) 14113 14115 1786 1786 797448 ( 38 , 83942 ) 41952 ( 722 , 4418 ) 1848 16920 797450 41990 17014 2570 M M M 38 M 0 2 4 2 94 4 _____________________________________________________________________________ 14116 1787 ( 1 , 3193369 ) 1596684 1596685 P 1 0 1 1 _____________________________________________________________________________ 14117 1788 ( 2 , 1598472 ) 14119 1788 ( 6 , 532824 ) 14118 14120 14121 14122 14123 14124 14125 14126 14127 14128 14129 1788 1788 1788 1788 1788 1788 1788 1788 1788 1788 1788 799235 799237 P ( 4 , 799236 ) 399616 399620 M ( 8 , 399618 ) 199805 199813 P ( 12 , 266412 ) ( 18 , 177608 ) ( 24 , 133206 ) 266409 133200 88795 66591 266415 88813 44420 ( 298 , 10728 ) 5215 5513 ( 72 , 44402 ) 22165 P 66615 44384 22237 4 M 133212 ( 36 , 88804 ) 1 3 1 M 1 M M 4 P M 149 2384 2980 M 596 ( 1192 , 2682 ) 745 1937 M 149 1341 2235 3 1 ( 596 , 5364 ) ( 894 , 3576 ) 12 M 447 4 9 13 _____________________________________________________________________________ 14130 1789 ( 1 , 3200521 ) 1600260 1600261 1 P 0 1 1 659 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 14131 1790 ( 2 , 1602050 ) 14133 1790 ( 50 , 64082 ) 14132 14134 1790 1790 ( 10 , 320410 ) ( 358 , 8950 ) 801024 160200 32016 4296 801026 M 160210 32066 4654 M 2 M M 0 10 2 4 358 4 _____________________________________________________________________________ 14135 1791 ( 1 , 3207681 ) 14137 1791 ( 9 , 356409 ) 178200 ( 81 , 39601 ) 19760 ( 597 , 5373 ) 2388 14136 14138 14139 14140 14141 1791 1791 1791 1791 1791 ( 3 , 1069227 ) ( 27 , 118803 ) ( 199 , 16119 ) 1603840 534612 59388 7960 1603841 534615 M 178209 2985 P 1 M M 1 9 M 19841 3 M 59415 8159 P 3 199 2 5 597 7 _____________________________________________________________________________ 14142 1792 ( 2 , 1605632 ) 14144 1792 ( 8 , 401408 ) 14143 14145 14146 14147 14148 14149 14150 14151 14152 1792 1792 1792 1792 1792 1792 1792 1792 1792 ( 4 , 802816 ) ( 14 , 229376 ) ( 16 , 200704 ) ( 28 , 114688 ) ( 32 , 100352 ) 802815 401406 200700 114681 100344 57330 50160 802817 P 401410 M 200708 57358 50192 M M 28644 28700 M ( 98 , 32768 ) 16335 16433 P ( 112 , 28672 ) 25056 14280 25120 14392 4 M ( 56 , 57344 ) ( 64 , 50176 ) 2 M 114695 100360 1 M M 7 M 8 14 16 28 32 1 56 660 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14153 1792 ( 128 , 25088 ) 12480 14155 1792 ( 224 , 14336 ) 7056 14154 14156 14157 14158 14159 14160 14161 14162 14163 1792 1792 1792 1792 1792 1792 1792 1792 1792 ( 196 , 16384 ) ( 256 , 12544 ) 12608 8094 8290 M 6144 6400 M 7280 M 2 M 112 256 ( 392 , 8192 ) 3900 4292 M 4 ( 512 , 6272 ) 2880 3392 M 64 ( 448 , 7168 ) ( 784 , 4096 ) ( 896 , 3584 ) ( 1024 , 3136 ) ( 1568 , 2048 ) 3360 1656 1344 1056 240 3808 M 2440 224 M 2240 2080 1808 64 8 M 448 M M 32 2 20 16 22 _____________________________________________________________________________ 14164 1793 ( 1 , 3214849 ) 14166 1793 ( 121 , 26569 ) 14165 14167 1793 1793 1607424 ( 11 , 292259 ) 146124 ( 163 , 19723 ) 9780 13224 1607425 146135 13345 9943 M P M 2 P 1 11 1 2 163 4 _____________________________________________________________________________ 14168 1794 ( 2 , 1609218 ) 14170 1794 ( 18 , 178802 ) 14169 14171 14172 14173 14174 14175 1794 1794 1794 1794 1794 1794 804608 804610 ( 6 , 536406 ) 268200 268206 ( 26 , 123786 ) 61880 61906 ( 46 , 69966 ) ( 78 , 41262 ) ( 138 , 23322 ) ( 234 , 13754 ) 89392 34960 20592 11592 6760 M M 89410 35006 20670 11730 6994 2 6 M M M M M M 2 26 46 78 26 138 661 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14176 1794 ( 338 , 9522 ) 4592 4930 M 2 14178 1794 ( 598 , 5382 ) 2392 2990 M 598 14177 14179 14180 1794 1794 1794 ( 414 , 7774 ) ( 1014 , 3174 ) ( 1058 , 3042 ) 3680 1080 992 4094 M 2094 2050 46 M M 6 0 13 2 13 _____________________________________________________________________________ 14181 1795 ( 1 , 3222025 ) 14183 1795 ( 25 , 128881 ) 14182 14184 1795 1795 1611012 ( 5 , 644405 ) 322200 ( 359 , 8975 ) 4308 64428 1611013 322205 64453 4667 M P P M 2 1 2 5 1 359 4 _____________________________________________________________________________ 14185 1796 ( 2 , 1612808 ) 14187 1796 ( 8 , 403202 ) 14186 14188 1796 1796 806403 ( 4 , 806404 ) 403200 ( 898 , 3592 ) 1347 201597 806405 P 403204 201605 2245 1 M 4 P M 2 2 449 1 4 _____________________________________________________________________________ 14189 1797 ( 1 , 3229209 ) 14191 1797 ( 9 , 358801 ) 14190 14192 1797 1797 ( 3 , 1076403 ) ( 599 , 5391 ) 1614604 538200 179396 2396 1614605 538203 179405 2995 M M P P 2 2 599 1 3 4 1 _____________________________________________________________________________ 14193 14194 1798 1798 ( 2 , 1616402 ) ( 58 , 55738 ) 808200 27840 808202 27898 M M 58 2 662 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14195 14196 1798 1798 ( 62 , 52142 ) ( 1682 , 1922 ) 26040 120 26102 1802 M M 0 4 2 62 4 _____________________________________________________________________________ 14197 1799 ( 1 , 3236401 ) 14199 1799 ( 49 , 66049 ) 14198 14200 1799 1799 ( 7 , 462343 ) ( 257 , 12593 ) 1618200 231168 33000 6168 1618201 231175 33049 6425 P M M 2 P 7 1 2 1 257 4 _____________________________________________________________________________ 14201 1800 ( 2 , 1620000 ) 14203 1800 ( 6 , 540000 ) 14202 14204 14205 14206 14207 14208 14209 14210 14211 14212 14213 14214 14215 14216 14217 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 809999 810001 P 1 ( 4 , 810000 ) 404998 405002 M 2 ( 8 , 405000 ) 202496 202504 M 8 ( 10 , 324000 ) ( 12 , 270000 ) ( 16 , 202500 ) ( 18 , 180000 ) ( 20 , 162000 ) ( 24 , 135000 ) ( 30 , 108000 ) ( 32 , 101250 ) 269997 161995 134994 101242 270003 M 162005 M 135006 101258 90009 M 67488 67512 M 53985 50609 81010 54015 50641 5 M 89991 80990 3 6 M 9 M M P 10 24 15 1 ( 36 , 90000 ) 44982 45018 M 18 ( 48 , 67500 ) 33726 33774 M 6 ( 40 , 81000 ) ( 50 , 64800 ) ( 54 , 60000 ) 40480 32375 29973 40520 32425 30027 M M M 2 40 25 3 663 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14218 1800 ( 60 , 54000 ) 26970 27030 M 30 14220 1800 ( 80 , 40500 ) 20210 20290 M 10 14219 14221 14222 14223 14224 14225 14226 14227 14228 14229 14230 14231 14232 14233 14234 14235 14236 14237 14238 14239 14240 14241 14242 14243 14244 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 ( 72 , 45000 ) ( 90 , 36000 ) ( 96 , 33750 ) ( 100 , 32400 ) ( 108 , 30000 ) ( 120 , 27000 ) ( 144 , 22500 ) ( 150 , 21600 ) ( 160 , 20250 ) ( 162 , 20000 ) ( 180 , 18000 ) ( 200 , 16200 ) ( 216 , 15000 ) ( 240 , 13500 ) ( 250 , 12960 ) ( 270 , 12000 ) ( 288 , 11250 ) ( 300 , 10800 ) ( 324 , 10000 ) 22464 17955 16827 16150 14946 13440 11178 10725 10045 22536 18045 7392 6630 6355 5865 5481 5250 4838 M 13560 120 M 10875 18 M 10205 75 M P 1 9090 M 90 7608 M 24 6870 6605 6135 5769 5550 5162 M M M M M M M 30 5 15 9 150 2 4320 4680 M 360 ( 432 , 7500 ) 3534 3966 M 6 ( 450 , 7200 ) ( 480 , 6750 ) ( 500 , 6480 ) 3850 3375 3135 2990 4250 3825 3615 3490 M M M M 5 200 ( 360 , 9000 ) ( 400 , 8100 ) 50 6 M 11322 8200 3 M 15054 8000 45 M 16250 10081 72 M 16923 9919 8910 M 50 225 15 10 664 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14245 1800 ( 540 , 6000 ) 2730 3270 M 30 14247 1800 ( 648 , 5000 ) 2176 2824 M 8 14246 14248 14249 14250 14251 14252 14253 14254 14255 14256 14257 14258 14259 14260 14261 14262 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 1800 ( 600 , 5400 ) ( 720 , 4500 ) ( 750 , 4320 ) ( 800 , 4050 ) ( 810 , 4000 ) ( 864 , 3750 ) ( 900 , 3600 ) ( 1000 , 3240 ) ( 1080 , 3000 ) ( 1200 , 2700 ) ( 1250 , 2592 ) ( 1296 , 2500 ) ( 1350 , 2400 ) ( 1440 , 2250 ) ( 1500 , 2160 ) ( 1620 , 2000 ) 2400 1890 1785 1625 1595 1443 1350 1120 3000 M 2610 M 2535 2425 2405 2307 2250 2120 190 450 M P 1950 3 M 1921 330 5 M 671 405 25 M M 525 15 M 2040 602 90 M 960 750 600 40 120 M 1898 150 1 M 1875 2 M 1845 75 M 1830 45 M 1810 30 M 4 58 10 62 _____________________________________________________________________________ 14263 1801 ( 1 , 3243601 ) 1621800 1621801 P 1 0 1 1 _____________________________________________________________________________ 14264 1802 ( 2 , 1623602 ) 14266 1802 ( 106 , 30634 ) 14265 14267 1802 1802 811800 ( 34 , 95506 ) 47736 ( 578 , 5618 ) 2520 15264 811802 47770 15370 3098 M M M M 34 2 2 106 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 665 0 4 4 _____________________________________________________________________________ 14268 1803 ( 1 , 3250809 ) 14270 1803 ( 9 , 361201 ) 14269 14271 1803 1803 ( 3 , 1083603 ) ( 601 , 5409 ) 1625404 541800 180596 2404 1625405 541803 180605 3005 M P P M 2 2 601 1 3 1 4 _____________________________________________________________________________ 14272 1804 ( 2 , 1627208 ) 14274 1804 ( 8 , 406802 ) 14273 14275 14276 14277 14278 14279 14280 14281 14282 14283 14284 1804 1804 1804 1804 1804 1804 1804 1804 1804 1804 1804 813603 813605 ( 4 , 813604 ) 406800 406804 ( 22 , 147928 ) 73953 73975 203397 P 1 M 203405 4 P 1 M 11 ( 44 , 73964 ) 36960 37004 M 44 ( 88 , 36982 ) 18447 18535 M 11 ( 82 , 39688 ) ( 164 , 19844 ) ( 242 , 13448 ) 19803 9840 6603 19885 10004 6845 M 41 M P 1 164 ( 328 , 9922 ) 4797 5125 M 41 ( 902 , 3608 ) 1353 2255 M 451 ( 484 , 6724 ) ( 968 , 3362 ) 3120 1197 3604 M 2165 P 4 4 9 1 13 _____________________________________________________________________________ 14285 1805 ( 1 , 3258025 ) 14287 1805 ( 19 , 171475 ) 14286 14288 1805 1805 1629012 1629013 ( 5 , 651605 ) 325800 325805 ( 25 , 130321 ) 65148 65173 85728 85747 M M P P 5 19 1 1 666 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14289 1805 ( 95 , 34295 ) 17100 14291 1805 ( 475 , 6859 ) 3192 14290 1805 ( 361 , 9025 ) 4332 17195 4693 3667 M M M 95 361 2 5 19 7 _____________________________________________________________________________ 14292 1806 ( 2 , 1630818 ) 14294 1806 ( 14 , 232974 ) 14293 14295 14296 14297 14298 14299 14300 14301 14302 14303 14304 1806 1806 1806 1806 1806 1806 1806 1806 1806 1806 1806 815408 815410 ( 6 , 543606 ) 271800 271806 ( 18 , 181202 ) 90592 90610 116480 M 2 M 116494 M 6 M 2 ( 42 , 77658 ) 38808 38850 M 42 ( 98 , 33282 ) 16592 16690 M 2 ( 86 , 37926 ) ( 126 , 25886 ) ( 258 , 12642 ) ( 294 , 11094 ) 18920 12880 6192 5400 19006 M 13006 6450 5694 M 86 M M 6 2408 3010 M 602 ( 882 , 3698 ) 1408 2290 M 2 1720 2494 14 258 ( 602 , 5418 ) ( 774 , 4214 ) 14 M 86 0 13 13 _____________________________________________________________________________ 14305 1807 ( 1 , 3265249 ) 14307 1807 ( 139 , 23491 ) 14306 14308 1807 1807 1632624 ( 13 , 251173 ) 125580 ( 169 , 19321 ) 9576 11676 1632625 125593 11815 9745 P M M 2 P 2 1 13 1 139 4 _____________________________________________________________________________ 14309 1808 ( 2 , 1634432 ) 817215 817217 P 1 667 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14310 1808 ( 4 , 817216 ) 14312 1808 ( 16 , 204304 ) 14311 14313 14314 14315 14316 14317 14318 1808 1808 1808 1808 1808 1808 1808 ( 8 , 408608 ) ( 32 , 102152 ) 408606 204300 102144 51060 408610 204308 51092 25506 25570 ( 226 , 14464 ) 7119 7345 ( 452 , 7232 ) ( 904 , 3616 ) 12705 3390 1356 2260 M 4 M M 12833 3842 2 M 102160 ( 64 , 51076 ) ( 128 , 25538 ) M M 2 P 1 113 M M 4 16 226 2 8 452 10 _____________________________________________________________________________ 14319 1809 ( 1 , 3272481 ) 14321 1809 ( 9 , 363609 ) 181800 ( 67 , 48843 ) 24388 24455 ( 201 , 16281 ) 8040 8241 14320 14322 14323 14324 14325 14326 14327 14328 1809 1809 1809 1809 1809 1809 1809 1809 ( 3 , 1090827 ) ( 27 , 121203 ) ( 81 , 40401 ) ( 243 , 13467 ) ( 603 , 5427 ) ( 729 , 4489 ) 1636240 545412 60588 20160 6612 2412 1880 1636241 545415 M 181809 2609 27 M 67 M 9 M 201 M 3 M P 1 9 M 20241 3015 3 M 60615 6855 P 603 2 8 1 10 _____________________________________________________________________________ 14329 1810 ( 2 , 1638050 ) 14331 1810 ( 50 , 65522 ) 14330 14332 1810 1810 ( 10 , 327610 ) ( 362 , 9050 ) 819024 163800 32736 4344 819026 163810 32786 4706 M M M M 2 2 362 10 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 668 0 4 4 _____________________________________________________________________________ 14333 1811 ( 1 , 3279721 ) 1639860 1639861 P 1 0 1 1 _____________________________________________________________________________ 14334 1812 ( 2 , 1641672 ) 14336 1812 ( 6 , 547224 ) 14335 14337 14338 14339 14340 14341 14342 14343 14344 14345 14346 1812 1812 1812 1812 1812 1812 1812 1812 1812 1812 1812 820835 820837 P ( 4 , 820836 ) 410416 410420 M ( 8 , 410418 ) 205205 205213 P ( 12 , 273612 ) ( 18 , 182408 ) ( 24 , 136806 ) 273609 136800 91195 68391 273615 91213 45620 ( 302 , 10872 ) 5285 5587 ( 72 , 45602 ) 22765 P 68415 45584 22837 4 M 136812 ( 36 , 91204 ) 1 3 1 M 1 M M 4 P M 151 2416 3020 M 604 ( 1208 , 2718 ) 755 1963 M 151 1359 2265 3 1 ( 604 , 5436 ) ( 906 , 3624 ) 12 M 453 4 9 13 _____________________________________________________________________________ 14347 1813 ( 1 , 3286969 ) 14349 1813 ( 37 , 88837 ) 44400 44437 ( 259 , 12691 ) 6216 6475 14348 14350 14351 14352 14353 1813 1813 1813 1813 1813 ( 7 , 469567 ) ( 49 , 67081 ) ( 343 , 9583 ) ( 1369 , 2401 ) 1643484 234780 33516 4620 516 1643485 234787 33565 4963 1885 M M P 37 M M M P 49 259 7 1 7 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 669 2 5 7 _____________________________________________________________________________ 14354 1814 ( 2 , 1645298 ) 822648 822650 M 0 1 2 1 _____________________________________________________________________________ 14355 1815 ( 1 , 3294225 ) 14357 1815 ( 5 , 658845 ) 14356 14358 14359 14360 14361 14362 14363 14364 14365 14366 14367 14368 14369 14370 14371 14372 14373 14374 14375 14376 1815 1815 1815 1815 1815 1815 1815 1815 1815 1815 1815 1815 1815 1815 1815 1815 1815 1815 1815 1815 ( 3 , 1098075 ) ( 9 , 366025 ) ( 11 , 299475 ) ( 15 , 219615 ) ( 25 , 131769 ) 1647112 549036 329420 183008 149732 109800 65872 1647113 549039 M 329425 P 3 M 183017 5 P 149743 1 M 109815 65897 P M 1 ( 33 , 99825 ) 49896 49929 M 33 ( 55 , 59895 ) 29920 29975 M 55 ( 45 , 73205 ) ( 75 , 43923 ) ( 99 , 33275 ) ( 121 , 27225 ) ( 165 , 19965 ) ( 225 , 14641 ) ( 275 , 11979 ) 36580 21924 16588 13552 36625 10065 5852 6127 7433 11 M M P M 121 1 165 11 ( 363 , 9075 ) 4356 4719 M 363 ( 605 , 5445 ) 2420 3025 M 605 ( 495 , 6655 ) ( 825 , 3993 ) ( 1089 , 3025 ) ( 1331 , 2475 ) 3080 1584 968 572 3575 2409 2057 1903 M M M M 15 3 M 13673 11 5 M 16687 9900 7208 M 21999 1 55 33 121 11 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 670 4 18 22 _____________________________________________________________________________ 14377 1816 ( 2 , 1648928 ) 14379 1816 ( 8 , 412232 ) 14378 14380 14381 14382 14383 1816 1816 1816 1816 1816 ( 4 , 824464 ) ( 16 , 206116 ) ( 32 , 103058 ) ( 454 , 7264 ) ( 908 , 3632 ) 824463 412230 206112 103050 51513 3405 1362 824465 P 412234 M 206120 3859 2270 2 M 103066 51545 1 P M M 8 M 2 1 227 2 5 454 7 _____________________________________________________________________________ 14384 1817 ( 1 , 3301489 ) 14386 1817 ( 79 , 41791 ) 14385 14387 1817 1817 ( 23 , 143543 ) ( 529 , 6241 ) 1650744 71760 20856 2856 1650745 71783 20935 3385 P P M M 2 2 23 1 1 79 4 _____________________________________________________________________________ 14388 1818 ( 2 , 1652562 ) 14390 1818 ( 18 , 183618 ) 14389 14391 14392 14393 14394 1818 1818 1818 1818 1818 826280 826282 ( 6 , 550854 ) 275424 ( 54 , 61206 ) 30576 30630 ( 202 , 16362 ) 8080 8282 ( 162 , 20402 ) ( 606 , 5454 ) 91800 10120 2424 M 275430 M 91818 10282 3030 2 6 M M M M 6 M 0 18 2 202 7 606 7 _____________________________________________________________________________ 14395 1819 ( 1 , 3308761 ) 1654380 1654381 P 1 671 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14396 1819 ( 17 , 194633 ) 97308 14398 1819 ( 289 , 11449 ) 5580 14397 1819 ( 107 , 30923 ) 15408 97325 15515 5869 P M 17 M 2 2 107 1 4 _____________________________________________________________________________ 14399 1820 ( 2 , 1656200 ) 14401 1820 ( 8 , 414050 ) 14400 14402 14403 14404 14405 14406 14407 14408 14409 14410 14411 14412 14413 14414 14415 14416 14417 14418 14419 14420 1820 1820 1820 1820 1820 1820 1820 1820 1820 1820 1820 1820 1820 1820 1820 1820 1820 1820 1820 1820 ( 4 , 828100 ) ( 10 , 331240 ) ( 14 , 236600 ) ( 20 , 165620 ) ( 26 , 127400 ) ( 28 , 118300 ) 828099 414048 207021 165615 118293 828101 P 414052 M 207029 165625 118307 82820 M 59136 59164 M 63713 41425 M ( 52 , 63700 ) 31824 31876 M ( 56 , 59150 ) ( 70 , 47320 ) ( 98 , 33800 ) ( 100 , 33124 ) ( 104 , 31850 ) ( 130 , 25480 ) ( 140 , 23660 ) ( 182 , 18200 ) ( 196 , 16900 ) ( 200 , 16562 ) ( 260 , 12740 ) 29547 23625 16851 16512 15873 12675 11760 33149 29603 23695 16949 16612 7 35 1 8381 P M M 4 13 M 8181 6500 52 M M 28 1 M M 6240 5 P 9191 8548 13 M 9009 8352 20 M 12805 5 7 P 15977 11900 M M 41385 33099 1 M ( 40 , 82810 ) ( 50 , 66248 ) 4 P 82800 63687 1 65 91 140 4 1 260 672 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14421 1820 ( 280 , 11830 ) 14423 1820 ( 350 , 9464 ) 14422 14424 14425 14426 14427 14428 14429 14430 14431 14432 14433 14434 14435 14436 14437 14438 1820 1820 1820 1820 1820 1820 1820 1820 1820 1820 1820 1820 1820 1820 1820 1820 5775 6055 M ( 338 , 9800 ) 4731 5069 P ( 364 , 9100 ) 4368 4732 M ( 392 , 8450 ) ( 490 , 6760 ) ( 520 , 6370 ) ( 650 , 5096 ) ( 676 , 4900 ) ( 700 , 4732 ) ( 728 , 4550 ) ( 910 , 3640 ) ( 980 , 3380 ) ( 1274 , 2600 ) ( 1300 , 2548 ) ( 1352 , 2450 ) ( 1400 , 2366 ) ( 1690 , 1960 ) 4557 4029 3135 2925 2223 2112 2016 1911 1365 1200 663 624 549 483 135 4907 1 M 4421 7 364 P 3625 1 M 3445 5 M 2873 65 M 2788 13 M 2716 4 M 2639 28 M 2275 91 M 2180 455 M 1937 M 1901 P 1924 20 13 M 1883 52 1 M 1825 M 35 7 8 32 5 40 _____________________________________________________________________________ 14439 1821 ( 1 , 3316041 ) 14441 1821 ( 9 , 368449 ) 14440 14442 1821 1821 ( 3 , 1105347 ) ( 607 , 5463 ) 1658020 552672 184220 2428 1658021 552675 184229 3035 M M P P 2 2 607 1 3 4 1 _____________________________________________________________________________ 14443 1822 ( 2 , 1659842 ) 829920 829922 M 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 673 0 1 1 _____________________________________________________________________________ 14444 1823 ( 1 , 3323329 ) 1661664 1661665 P 1 0 1 1 _____________________________________________________________________________ 14445 1824 ( 2 , 1663488 ) 14447 1824 ( 6 , 554496 ) 14446 14448 14449 14450 14451 14452 14453 14454 14455 14456 14457 14458 14459 14460 14461 14462 14463 14464 14465 14466 1824 1824 1824 1824 1824 1824 1824 1824 1824 1824 1824 1824 1824 1824 1824 1824 1824 1824 1824 1824 831743 831745 P 1 ( 4 , 831744 ) 415870 415874 M 2 ( 8 , 415872 ) 207932 207940 M 4 ( 12 , 277248 ) ( 16 , 207936 ) ( 18 , 184832 ) ( 24 , 138624 ) ( 32 , 103968 ) 277245 138618 103960 277251 M 138630 M 103976 92407 92425 P 51968 52000 M 69300 3 69324 M M 6 1 12 32 ( 36 , 92416 ) 46190 46226 M 2 ( 48 , 69312 ) 34632 34680 M 24 ( 38 , 87552 ) ( 64 , 51984 ) ( 72 , 46208 ) ( 76 , 43776 ) ( 96 , 34656 ) ( 114 , 29184 ) ( 128 , 25992 ) ( 144 , 23104 ) ( 152 , 21888 ) ( 192 , 17328 ) ( 228 , 14592 ) 43757 25960 23068 21850 17280 14535 12932 11480 10868 8568 7182 43795 26024 23140 21926 17376 14649 M M M M M M 13060 11020 8760 7410 19 8 4 38 96 57 M 11624 4 M M M M 8 8 24 76 114 674 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14467 1824 ( 256 , 12996 ) 6370 6626 M 2 14469 1824 ( 304 , 10944 ) 5320 5624 M 152 14468 14470 14471 14472 14473 14474 14475 14476 14477 14478 14479 14480 14481 14482 14483 14484 1824 1824 1824 1824 1824 1824 1824 1824 1824 1824 1824 1824 1824 1824 1824 1824 ( 288 , 11552 ) 5632 5920 M 32 ( 342 , 9728 ) 4693 5035 M 19 ( 456 , 7296 ) 3420 3876 M 228 ( 384 , 8664 ) ( 512 , 6498 ) ( 576 , 5776 ) ( 608 , 5472 ) ( 684 , 4864 ) ( 722 , 4608 ) ( 768 , 4332 ) ( 912 , 3648 ) ( 1152 , 2888 ) ( 1216 , 2736 ) ( 1368 , 2432 ) ( 1444 , 2304 ) ( 1536 , 2166 ) 4140 2993 2600 2432 2090 1943 1782 1368 868 760 532 430 315 4524 M 3505 12 P 3176 1 M 3040 8 M 2774 608 M 2665 38 P 2550 1 M 2280 6 M 2020 M 1900 M 1976 456 4 M 1874 152 76 M 1851 2 M 4 36 3 40 _____________________________________________________________________________ 14485 1825 ( 1 , 3330625 ) 14487 1825 ( 25 , 133225 ) 14486 14488 14489 14490 14491 1825 1825 1825 1825 1825 1665312 ( 5 , 666125 ) 333060 ( 73 , 45625 ) 22776 ( 365 , 9125 ) 4380 ( 125 , 26645 ) ( 625 , 5329 ) 66600 13260 2352 1665313 333065 66625 4745 2977 5 M 22849 13385 M P 25 M M P M 73 365 1 5 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 675 2 5 7 _____________________________________________________________________________ 14492 1826 ( 2 , 1667138 ) 14494 1826 ( 166 , 20086 ) 14493 14495 1826 1826 833568 ( 22 , 151558 ) 75768 ( 242 , 13778 ) 6768 9960 833570 75790 10126 M M 2 22 M 7010 M 0 4 2 166 4 _____________________________________________________________________________ 14496 1827 ( 1 , 3337929 ) 14498 1827 ( 7 , 476847 ) 238420 238427 ( 21 , 158949 ) 79464 79485 M 21 57565 M 29 14497 14499 14500 14501 14502 14503 14504 14505 14506 14507 14508 14509 14510 14511 14512 14513 14514 1827 1827 1827 1827 1827 1827 1827 1827 1827 1827 1827 1827 1827 1827 1827 1827 1827 ( 3 , 1112643 ) ( 9 , 370881 ) ( 27 , 123627 ) ( 29 , 115101 ) 1668964 556320 185436 61800 57536 1668965 556323 M P 3 M 185445 7 M 61827 9 M 3 ( 49 , 68121 ) 34036 34085 P 1 ( 81 , 41209 ) 20564 20645 P 1 ( 63 , 52983 ) ( 87 , 38367 ) ( 147 , 22707 ) ( 189 , 17661 ) ( 203 , 16443 ) ( 261 , 12789 ) 26460 19140 11280 26523 M 19227 11427 M 8736 8925 M 6264 6525 M 8120 8323 63 M M 87 21 203 261 ( 441 , 7569 ) 3564 4005 M 9 ( 609 , 5481 ) 2436 3045 M 609 ( 567 , 5887 ) ( 783 , 4263 ) 2660 1740 3227 2523 M M 3 7 87 1 676 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14515 1827 ( 841 , 3969 ) 1564 2405 14517 1827 ( 1421 , 2349 ) 464 1885 14516 1827 ( 1323 , 2523 ) 600 P 1923 1 M 3 M 4 18 29 22 _____________________________________________________________________________ 14518 1828 ( 2 , 1670792 ) 14520 1828 ( 8 , 417698 ) 14519 14521 1828 1828 835395 ( 4 , 835396 ) 417696 ( 914 , 3656 ) 1371 208845 835397 P 417700 208853 2285 1 M 4 P M 2 2 1 457 4 _____________________________________________________________________________ 14522 1829 ( 1 , 3345241 ) 14524 1829 ( 59 , 56699 ) 14523 14525 1829 1829 ( 31 , 107911 ) ( 961 , 3481 ) 1672620 53940 28320 1260 1672621 53971 28379 2221 P P M M 2 2 31 1 1 59 4 _____________________________________________________________________________ 14526 1830 ( 2 , 1674450 ) 14528 1830 ( 10 , 334890 ) 14527 14529 14530 14531 14532 14533 14534 14535 1830 1830 1830 1830 1830 1830 1830 1830 837224 837226 ( 6 , 558150 ) 279072 279078 ( 18 , 186050 ) 93016 93034 ( 30 , 111630 ) ( 50 , 66978 ) ( 90 , 37210 ) ( 122 , 27450 ) ( 150 , 22326 ) ( 366 , 9150 ) 167440 55800 33464 18560 13664 11088 4392 167450 55830 M 13786 4758 M M 18650 M M 2 M M 33514 11238 M M 6 M 2 2 10 30 10 122 366 6 677 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14536 1830 ( 450 , 7442 ) 3496 3946 M 2 14538 1830 ( 1098 , 3050 ) 976 2074 M 122 14537 1830 ( 610 , 5490 ) 2440 3050 M 610 0 13 13 _____________________________________________________________________________ 14539 1831 ( 1 , 3352561 ) 1676280 1676281 P 1 0 1 1 _____________________________________________________________________________ 14540 1832 ( 2 , 1678112 ) 14542 1832 ( 8 , 419528 ) 14541 14543 14544 14545 14546 1832 1832 1832 1832 1832 ( 4 , 839056 ) ( 16 , 209764 ) ( 32 , 104882 ) ( 458 , 7328 ) ( 916 , 3664 ) 839055 419526 209760 104874 52425 3435 1374 839057 P 419530 M 209768 3893 2290 2 M 104890 52457 1 P M M 8 M 1 2 229 2 5 458 7 _____________________________________________________________________________ 14547 1833 ( 1 , 3359889 ) 14549 1833 ( 9 , 373321 ) 186656 ( 39 , 86151 ) 43056 14548 14550 14551 14552 14553 14554 14555 14556 1833 1833 1833 1833 1833 1833 1833 1833 ( 3 , 1119963 ) ( 13 , 258453 ) ( 47 , 71487 ) ( 117 , 28717 ) ( 141 , 23829 ) ( 169 , 19881 ) ( 423 , 7943 ) 1679944 559980 129220 35720 14300 11844 9856 3760 1679945 559983 M 186665 129233 43095 35767 M 1 M 39 M M P 3 13 1 47 1 13 47 M 11985 4183 P M 14417 10025 P 141 678 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14557 1833 ( 507 , 6627 ) 3060 3567 M 14559 1833 ( 1521 , 2209 ) 344 1865 P 14558 1833 ( 611 , 5499 ) 2444 3055 3 M 611 4 9 1 13 _____________________________________________________________________________ 14560 1834 ( 2 , 1681778 ) 14562 1834 ( 98 , 34322 ) 14561 14563 1834 1834 ( 14 , 240254 ) ( 262 , 12838 ) 840888 120120 17112 6288 840890 M 120134 17210 6550 2 M M M 0 14 2 4 262 4 _____________________________________________________________________________ 14564 1835 ( 1 , 3367225 ) 14566 1835 ( 25 , 134689 ) 14565 14567 1835 1835 1683612 ( 5 , 673445 ) 336720 ( 367 , 9175 ) 4404 67332 1683613 336725 67357 4771 M M P P 2 1 2 5 1 367 4 _____________________________________________________________________________ 14568 1836 ( 2 , 1685448 ) 14570 1836 ( 6 , 561816 ) 14569 14571 14572 14573 14574 14575 14576 14577 1836 1836 1836 1836 1836 1836 1836 1836 842723 842725 P 1 ( 4 , 842724 ) 421360 421364 M ( 8 , 421362 ) 210677 210685 P 1 M 9 ( 12 , 280908 ) ( 18 , 187272 ) ( 24 , 140454 ) 280905 140448 93627 70215 280911 140460 93645 70239 M M M 4 3 3 ( 34 , 99144 ) 49555 49589 M 17 ( 54 , 62424 ) 31185 31239 M 27 ( 36 , 93636 ) 46800 46836 M 36 12 679 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14578 1836 ( 68 , 49572 ) 14580 1836 ( 102 , 33048 ) 14579 14581 14582 14583 14584 14585 14586 14587 14588 14589 14590 14591 14592 14593 14594 14595 14596 14597 14598 1836 1836 1836 1836 1836 1836 1836 1836 1836 1836 1836 1836 1836 1836 1836 1836 1836 1836 1836 ( 72 , 46818 ) ( 108 , 31212 ) ( 136 , 24786 ) ( 162 , 20808 ) ( 204 , 16524 ) ( 216 , 15606 ) ( 306 , 11016 ) ( 324 , 10404 ) 24752 23373 16473 15552 12325 10323 24820 M 23445 M 16575 15660 M 12461 10485 M 5355 5661 M 7911 5364 4335 M ( 578 , 5832 ) 2627 3205 P ( 612 , 5508 ) ( 648 , 5202 ) ( 918 , 3672 ) ( 972 , 3468 ) ( 1156 , 2916 ) ( 1224 , 2754 ) ( 1458 , 2312 ) ( 1734 , 1944 ) 3225 2448 2277 1377 1248 880 765 427 105 3711 M 9 204 27 153 M 3927 ( 486 , 6936 ) 17 M ( 408 , 8262 ) 36 51 M 3060 3 1 M 2925 612 M 2295 9 M 2220 459 M 2036 M 1885 P 1989 12 4 M 1839 M 51 108 M 8364 5040 9 M 8160 7695 68 153 1 4 27 3 31 _____________________________________________________________________________ 14599 1837 ( 1 , 3374569 ) 14601 1837 ( 121 , 27889 ) 14600 14602 1837 1837 1687284 ( 11 , 306779 ) 153384 ( 167 , 20207 ) 10020 13884 1687285 153395 14005 10187 P M M P 1 1 11 167 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 680 2 2 4 _____________________________________________________________________________ 14603 1838 ( 2 , 1689122 ) 844560 844562 M 0 1 2 1 _____________________________________________________________________________ 14604 1839 ( 1 , 3381921 ) 14606 1839 ( 9 , 375769 ) 14605 14607 1839 1839 ( 3 , 1127307 ) ( 613 , 5517 ) 1690960 563652 187880 2452 1690961 563655 187889 3065 M M P P 2 2 613 1 3 1 4 _____________________________________________________________________________ 14608 1840 ( 2 , 1692800 ) 14610 1840 ( 8 , 423200 ) 14609 14611 14612 14613 14614 14615 14616 14617 14618 14619 14620 14621 14622 14623 1840 1840 1840 1840 1840 1840 1840 1840 1840 1840 1840 1840 1840 1840 ( 4 , 846400 ) ( 10 , 338560 ) ( 16 , 211600 ) ( 20 , 169280 ) ( 32 , 105800 ) 846399 423198 211596 169275 105792 84630 52884 846401 P 423202 M 211604 84650 52916 M M 42300 42340 M ( 50 , 67712 ) 33831 33881 P ( 64 , 52900 ) ( 80 , 42320 ) ( 92 , 36800 ) ( 100 , 33856 ) ( 128 , 26450 ) ( 160 , 21160 ) 36777 26418 21120 18354 16878 13161 10500 36823 26482 21200 18446 16978 13289 10660 4 M ( 40 , 84640 ) ( 46 , 73600 ) 2 M 169285 105808 1 M M M M M P M 5 M 16 10 4 20 23 1 2 80 46 2 1 20 681 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14624 1840 ( 184 , 18400 ) 9108 9292 M 92 14626 1840 ( 230 , 14720 ) 7245 7475 M 115 14625 14627 14628 14629 14630 14631 14632 14633 14634 14635 14636 14637 14638 1840 1840 1840 1840 1840 1840 1840 1840 1840 1840 1840 1840 1840 ( 200 , 16928 ) ( 320 , 10580 ) 8364 5130 8564 5450 M 4 M 10 ( 368 , 9200 ) 4416 4784 M 368 ( 460 , 7360 ) 3450 3910 M 230 ( 400 , 8464 ) ( 640 , 5290 ) ( 736 , 4600 ) ( 800 , 4232 ) ( 920 , 3680 ) ( 1058 , 3200 ) ( 1150 , 2944 ) ( 1472 , 2300 ) ( 1600 , 2116 ) 4032 2325 1932 1716 1380 1071 4432 M 2965 16 M 2668 5 M 2516 92 M 2300 2129 4 M 460 P 1 897 2047 M 23 258 1858 M 2 414 1886 M 46 4 27 31 _____________________________________________________________________________ 14639 1841 ( 1 , 3389281 ) 14641 1841 ( 49 , 69169 ) 14640 14642 1841 1841 ( 7 , 484183 ) ( 263 , 12887 ) 1694640 242088 34560 6312 1694641 242095 34609 P 6575 M M 2 P 7 1 2 1 263 4 _____________________________________________________________________________ 14643 1842 ( 2 , 1696482 ) 14645 1842 ( 18 , 188498 ) 14644 14646 1842 1842 848240 ( 6 , 565494 ) 282744 ( 614 , 5526 ) 2456 94240 848242 282750 94258 3070 M M 2 M M 6 614 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 682 0 4 4 _____________________________________________________________________________ 14647 1843 ( 1 , 3396649 ) 14649 1843 ( 97 , 35017 ) 14648 14650 1843 1843 ( 19 , 178771 ) ( 361 , 9409 ) 1698324 89376 17460 4524 1698325 89395 17557 4885 P P M M 2 2 19 1 1 97 4 _____________________________________________________________________________ 14651 1844 ( 2 , 1700168 ) 14653 1844 ( 8 , 425042 ) 14652 14654 1844 1844 850083 ( 4 , 850084 ) 425040 ( 922 , 3688 ) 1383 212517 850085 P 425044 212525 2305 1 M 4 P M 2 2 461 1 4 _____________________________________________________________________________ 14655 1845 ( 1 , 3404025 ) 14657 1845 ( 5 , 680805 ) 14656 14658 14659 14660 14661 14662 14663 14664 14665 14666 14667 1845 1845 1845 1845 1845 1845 1845 1845 1845 1845 1845 ( 3 , 1134675 ) ( 9 , 378225 ) ( 15 , 226935 ) ( 25 , 136161 ) ( 27 , 126075 ) 1702012 567336 340400 189108 113460 68068 63024 1702013 567339 M 340405 68093 63051 3 M 189117 113475 P 5 M P M 9 M 1 41492 41533 M 41 ( 75 , 45387 ) 22656 22731 M 3 ( 81 , 42025 ) ( 123 , 27675 ) ( 135 , 25215 ) 37800 20972 13776 12540 37845 21053 13899 12675 M P M M 15 3 ( 41 , 83025 ) ( 45 , 75645 ) 1 45 1 123 15 683 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14668 1845 ( 205 , 16605 ) 14670 1845 ( 369 , 9225 ) 4428 4797 M 369 ( 615 , 5535 ) 2460 3075 M 615 14669 14671 14672 14673 14674 14675 14676 1845 1845 1845 1845 1845 1845 1845 ( 225 , 15129 ) ( 405 , 8405 ) ( 675 , 5043 ) ( 1025 , 3321 ) ( 1107 , 3075 ) ( 1681 , 2025 ) 8200 7452 4000 2184 1148 984 172 8405 7677 4405 M 205 M 9 M 2859 2173 2091 1853 5 M 3 M 41 M P 123 4 18 1 22 _____________________________________________________________________________ 14677 1846 ( 2 , 1703858 ) 14679 1846 ( 142 , 23998 ) 14678 14680 1846 1846 851928 ( 26 , 131066 ) 65520 ( 338 , 10082 ) 4872 11928 851930 65546 12070 5210 M M M 2 26 M 0 4 2 142 4 _____________________________________________________________________________ 14681 1847 ( 1 , 3411409 ) 1705704 1705705 P 1 0 1 1 _____________________________________________________________________________ 14682 1848 ( 2 , 1707552 ) 14684 1848 ( 6 , 569184 ) 14683 14685 14686 14687 14688 1848 1848 1848 1848 1848 853775 853777 P 1 ( 4 , 853776 ) 426886 426890 M 2 ( 8 , 426888 ) 213440 213448 M 8 ( 12 , 284592 ) ( 14 , 243936 ) ( 16 , 213444 ) 284589 142290 121961 106714 284595 142302 121975 106730 M M M M 3 6 7 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 684 14689 1848 ( 18 , 189728 ) 94855 94873 P 14691 1848 ( 24 , 142296 ) 71136 71160 M 14690 14692 14693 14694 14695 14696 14697 14698 14699 14700 14701 14702 14703 14704 14705 14706 14707 14708 14709 14710 14711 14712 14713 14714 14715 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 ( 22 , 155232 ) ( 28 , 121968 ) ( 32 , 106722 ) 77605 60970 53345 77627 M 60998 53377 1 11 24 M 14 P 1 ( 36 , 94864 ) 47414 47450 M 2 ( 44 , 77616 ) 38786 38830 M 22 ( 42 , 81312 ) ( 48 , 71148 ) ( 56 , 60984 ) ( 66 , 51744 ) ( 72 , 47432 ) ( 84 , 40656 ) ( 88 , 38808 ) ( 96 , 35574 ) ( 98 , 34848 ) ( 112 , 30492 ) ( 126 , 27104 ) ( 132 , 25872 ) ( 144 , 23716 ) ( 154 , 22176 ) ( 168 , 20328 ) ( 176 , 19404 ) ( 196 , 17424 ) ( 198 , 17248 ) ( 224 , 15246 ) ( 242 , 14112 ) 40635 35550 30464 25839 23680 20286 19360 17739 17375 15190 13489 12870 11786 11011 10080 40677 35598 30520 25905 23752 20370 19448 17835 17473 15302 M M 3 P 1 M M 66 M 2 M 8525 8723 M M M P M 14 7 M 11165 7177 88 M M 6935 42 M 11930 7735 8 M 9790 7511 33 M 13002 8810 56 M 9614 8614 6 M 13615 10248 21 77 22 2 11 7 1 168 685 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14716 1848 ( 252 , 13552 ) 6650 6902 M 14718 1848 ( 288 , 11858 ) 5785 6073 P 14717 14719 14720 14721 14722 14723 14724 14725 14726 14727 14728 14729 14730 14731 14732 14733 14734 14735 14736 14737 14738 14739 14740 14741 14742 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 1848 ( 264 , 12936 ) ( 294 , 11616 ) ( 308 , 11088 ) ( 336 , 10164 ) 6336 5661 5390 4914 6600 5955 5698 5250 M M 14 264 1 3 M M 154 42 ( 352 , 9702 ) 4675 5027 M 11 ( 396 , 8624 ) 4114 4510 M 22 ( 392 , 8712 ) ( 462 , 7392 ) ( 484 , 7056 ) ( 504 , 6776 ) ( 528 , 6468 ) ( 588 , 5808 ) ( 616 , 5544 ) ( 672 , 5082 ) ( 726 , 4704 ) ( 784 , 4356 ) ( 792 , 4312 ) ( 882 , 3872 ) ( 924 , 3696 ) ( 968 , 3528 ) ( 1008 , 3388 ) ( 1056 , 3234 ) ( 1078 , 3168 ) ( 1176 , 2904 ) ( 1232 , 2772 ) 4160 3465 3286 3136 2970 2610 2464 2205 1989 1786 1760 1495 1386 1280 1190 1089 1045 864 770 4552 3927 3770 3640 3498 3198 3080 2877 2715 2570 2552 2377 2310 2248 2198 2145 2123 2040 2002 M M M M M M M M M M M P M M M M M M M 8 231 2 56 66 6 616 21 3 2 88 1 462 8 14 33 11 24 154 686 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14743 1848 ( 1386 , 2464 ) 539 1925 M 14745 1848 ( 1568 , 2178 ) 305 1873 P 14744 14746 14747 14748 1848 1848 1848 1848 ( 1452 , 2352 ) ( 1584 , 2156 ) ( 1694 , 2016 ) ( 1764 , 1936 ) 450 1902 286 161 86 77 M 1870 6 1 M 1855 22 M 1850 7 M 2 8 59 67 _____________________________________________________________________________ 14749 14750 1849 1849 ( 1 , 3418801 ) ( 43 , 79507 ) 1709400 39732 1709401 39775 P M 1 1 43 1 2 _____________________________________________________________________________ 14751 1850 ( 2 , 1711250 ) 14753 1850 ( 50 , 68450 ) 34200 34250 ( 250 , 13690 ) 6720 6970 14752 14754 14755 14756 14757 1850 1850 1850 1850 1850 ( 10 , 342250 ) ( 74 , 46250 ) ( 370 , 9250 ) ( 1250 , 2738 ) 855624 171120 23088 4440 744 855626 M 171130 23162 4810 1994 M 2 M 50 M 74 M 10 M M 10 370 0 7 2 7 _____________________________________________________________________________ 14758 1851 ( 1 , 3426201 ) 14760 1851 ( 9 , 380689 ) 14759 14761 1851 1851 ( 3 , 1142067 ) ( 617 , 5553 ) 1713100 571032 190340 2468 1713101 571035 190349 3085 M M P P 2 2 617 4 1 3 1 _____________________________________________________________________________ 687 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14762 1852 ( 2 , 1714952 ) 14764 1852 ( 8 , 428738 ) 14763 14765 1852 1852 857475 ( 4 , 857476 ) 428736 ( 926 , 3704 ) 1389 214365 857477 P 428740 214373 2315 1 M 4 P M 2 2 1 463 4 _____________________________________________________________________________ 14766 1853 ( 1 , 3433609 ) 14768 1853 ( 109 , 31501 ) 14767 14769 1853 1853 1716804 ( 17 , 201977 ) 100980 ( 289 , 11881 ) 5796 15696 1716805 100997 15805 6085 P M M 2 P 2 1 17 1 109 4 _____________________________________________________________________________ 14770 1854 ( 2 , 1718658 ) 14772 1854 ( 18 , 190962 ) 14771 14773 14774 14775 14776 1854 1854 1854 1854 1854 859328 859330 ( 6 , 572886 ) 286440 ( 54 , 63654 ) 31800 31854 ( 206 , 16686 ) 8240 8446 ( 162 , 21218 ) ( 618 , 5562 ) 95472 10528 2472 M 286446 M 95490 10690 3090 2 6 M M M M 6 M 0 18 2 206 7 618 7 _____________________________________________________________________________ 14777 1855 ( 1 , 3441025 ) 14779 1855 ( 7 , 491575 ) 14778 14780 14781 14782 1855 1855 1855 1855 1720512 1720513 ( 5 , 688205 ) 344100 344105 ( 25 , 137641 ) 68808 68833 ( 35 , 98315 ) ( 49 , 70225 ) 245784 49140 35088 245791 49175 35137 M P 5 M P M P 1 35 1 7 1 688 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14783 1855 ( 53 , 64925 ) 32436 14785 1855 ( 245 , 14045 ) 6900 14784 14786 14787 14788 14789 1855 1855 1855 1855 1855 ( 175 , 19663 ) ( 265 , 12985 ) 32489 53 9744 9919 M 7 6360 6625 M 265 7145 ( 371 , 9275 ) 4452 4823 ( 1325 , 2597 ) 636 1961 ( 1225 , 2809 ) M 792 2017 M 5 M 371 P M 1 4 9 53 13 _____________________________________________________________________________ 14790 1856 ( 2 , 1722368 ) 14792 1856 ( 8 , 430592 ) 14791 14793 14794 14795 14796 14797 14798 14799 14800 14801 14802 14803 14804 14805 1856 1856 1856 1856 1856 1856 1856 1856 1856 1856 1856 1856 1856 1856 ( 4 , 861184 ) ( 16 , 215296 ) ( 32 , 107648 ) ( 58 , 59392 ) ( 64 , 53824 ) ( 116 , 29696 ) ( 128 , 26912 ) ( 232 , 14848 ) ( 256 , 13456 ) 861183 430590 215292 107640 53808 29667 26880 14790 13392 7308 6600 861185 P 430594 M 215300 53840 M 29725 M 8 16 29 M 14906 6856 4 M 26944 7540 2 M 107656 13520 1 64 M M 58 M 16 116 M 8 ( 464 , 7424 ) 3480 3944 M 232 ( 928 , 3712 ) 1392 2320 M 464 ( 512 , 6728 ) ( 1024 , 3364 ) ( 1682 , 2048 ) 3108 1170 183 3620 2194 1865 M 4 M P 2 14 1 2 16 _____________________________________________________________________________ 689 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14806 1857 ( 1 , 3448449 ) 14808 1857 ( 9 , 383161 ) 14807 14809 1857 1857 ( 3 , 1149483 ) ( 619 , 5571 ) 1724224 574740 191576 2476 1724225 574743 191585 3095 M M P P 2 2 1 619 3 1 4 _____________________________________________________________________________ 14810 1858 ( 2 , 1726082 ) 863040 863042 M 0 1 2 1 _____________________________________________________________________________ 14811 1859 ( 1 , 3455881 ) 14813 1859 ( 13 , 265837 ) 14812 14814 14815 14816 14817 1859 1859 1859 1859 1859 1727940 1727941 ( 11 , 314171 ) 157080 ( 121 , 28561 ) 14220 14341 P 10140 10309 M ( 143 , 24167 ) ( 169 , 20449 ) ( 1573 , 2197 ) 132912 12012 312 157091 132925 12155 1885 M P 1 11 M 1 M M 13 143 2 5 13 169 7 _____________________________________________________________________________ 14818 1860 ( 2 , 1729800 ) 14820 1860 ( 6 , 576600 ) 14819 14821 14822 14823 14824 14825 14826 1860 1860 1860 1860 1860 1860 1860 864899 864901 P ( 4 , 864900 ) 432448 432452 M ( 8 , 432450 ) 216221 216229 P ( 10 , 345960 ) ( 12 , 288300 ) ( 18 , 192200 ) ( 20 , 172980 ) ( 24 , 144150 ) 288297 172975 144144 288303 172985 144156 M M 96091 96109 P 72063 72087 M 86480 86500 M M 1 4 3 1 1 5 12 20 3 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14827 1860 ( 30 , 115320 ) 14829 1860 ( 40 , 86490 ) 14828 14830 14831 14832 14833 14834 14835 14836 14837 14838 14839 14840 14841 14842 14843 14844 14845 14846 14847 14848 14849 14850 14851 14852 14853 1860 1860 1860 1860 1860 1860 1860 1860 1860 1860 1860 1860 1860 1860 1860 1860 1860 1860 1860 1860 1860 1860 1860 1860 1860 57645 57675 690 M ( 36 , 96100 ) 48032 48068 M ( 50 , 69192 ) 34571 34621 P ( 60 , 57660 ) ( 62 , 55800 ) ( 72 , 48050 ) ( 90 , 38440 ) ( 100 , 34596 ) ( 120 , 28830 ) ( 124 , 27900 ) ( 150 , 23064 ) ( 180 , 19220 ) ( 186 , 18600 ) ( 200 , 17298 ) ( 248 , 13950 ) ( 300 , 11532 ) ( 310 , 11160 ) 43225 28800 27869 23989 19175 17248 14355 13888 11457 43265 M 28860 24061 17348 14012 8749 P 5425 5735 M M ( 360 , 9610 ) 4625 4985 M ( 450 , 7688 ) 3619 4069 P ( 372 , 9300 ) ( 558 , 6200 ) ( 600 , 5766 ) ( 620 , 5580 ) ( 744 , 4650 ) ( 900 , 3844 ) ( 930 , 3720 ) 4464 2821 2583 2480 1953 1472 1395 4836 3379 3183 3100 2697 2372 2325 124 M 20 M M M M M M M 3 93 1 31 M M 4 15 M 8549 5916 5 M M 5616 1 M 14475 7099 31 M 9700 6851 60 P 19265 9393 1 M 9520 9207 5 M 27931 11607 4 15 12 155 5 372 1 31 3 620 93 4 465 691 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14854 1860 ( 1116 , 3100 ) 992 2108 M 124 14856 1860 ( 1550 , 2232 ) 341 1891 M 31 14855 14857 1860 1860 ( 1240 , 2790 ) ( 1800 , 1922 ) 775 61 2015 M 1861 155 P 1 8 32 40 _____________________________________________________________________________ 14858 1861 ( 1 , 3463321 ) 1731660 1731661 P 1 0 1 1 _____________________________________________________________________________ 14859 1862 ( 2 , 1733522 ) 14861 1862 ( 38 , 91238 ) 45600 45638 ( 266 , 13034 ) 6384 6650 14860 14862 14863 14864 14865 1862 1862 1862 1862 1862 ( 14 , 247646 ) ( 98 , 35378 ) ( 686 , 5054 ) ( 722 , 4802 ) 866760 123816 17640 2184 2040 866762 M 123830 17738 2870 2762 2 M M 38 M 98 M 266 M M 14 14 0 7 2 7 _____________________________________________________________________________ 14866 1863 ( 1 , 3470769 ) 14868 1863 ( 9 , 385641 ) 192816 192825 ( 27 , 128547 ) 64260 64287 14867 14869 14870 14871 14872 14873 14874 1863 1863 1863 1863 1863 1863 1863 ( 3 , 1156923 ) ( 23 , 150903 ) 1735384 578460 75440 1735385 578463 25116 25185 ( 207 , 16767 ) 8280 8487 ( 81 , 42849 ) ( 243 , 14283 ) 21384 7020 21465 7263 3 M 75463 ( 69 , 50301 ) M P 9 M M M M M M 23 27 69 81 207 27 1 692 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14875 1863 ( 529 , 6561 ) 3016 3545 P 14877 1863 ( 729 , 4761 ) 2016 2745 M 14876 14878 1863 1863 ( 621 , 5589 ) ( 1587 , 2187 ) 2484 300 3105 1 M 1887 M 621 9 2 11 3 13 _____________________________________________________________________________ 14879 1864 ( 2 , 1737248 ) 14881 1864 ( 8 , 434312 ) 14880 14882 14883 14884 14885 1864 1864 1864 1864 1864 ( 4 , 868624 ) ( 16 , 217156 ) ( 32 , 108578 ) ( 466 , 7456 ) ( 932 , 3728 ) 868623 434310 217152 108570 54273 3495 1398 868625 P 434314 M 217160 108586 54305 3961 2330 M M 1 2 M P 8 M 2 1 233 2 5 466 7 _____________________________________________________________________________ 14886 1865 ( 1 , 3478225 ) 14888 1865 ( 25 , 139129 ) 14887 14889 1865 1865 1739112 ( 5 , 695645 ) 347820 ( 373 , 9325 ) 4476 69552 1739113 347825 69577 4849 M M P P 2 1 2 5 1 373 4 _____________________________________________________________________________ 14890 1866 ( 2 , 1740978 ) 14892 1866 ( 18 , 193442 ) 14891 14893 1866 1866 870488 ( 6 , 580326 ) 290160 ( 622 , 5598 ) 2488 96712 870490 290166 96730 3110 M M 2 M 6 M 0 4 622 2 4 _____________________________________________________________________________ 693 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14894 1867 ( 1 , 3485689 ) 1742844 1742845 P 1 0 1 1 _____________________________________________________________________________ 14895 1868 ( 2 , 1744712 ) 14897 1868 ( 8 , 436178 ) 14896 14898 1868 1868 872355 ( 4 , 872356 ) 436176 ( 934 , 3736 ) 1401 218085 872357 P 436180 218093 2335 1 M 4 P M 2 2 467 1 4 _____________________________________________________________________________ 14899 1869 ( 1 , 3493161 ) 14901 1869 ( 7 , 499023 ) 249508 249515 ( 21 , 166341 ) 83160 83181 14900 14902 14903 14904 14905 14906 14907 14908 14909 14910 14911 1869 1869 1869 1869 1869 1869 1869 1869 1869 1869 1869 ( 3 , 1164387 ) ( 9 , 388129 ) 1746580 582192 194060 1746581 582195 M 194069 P ( 89 , 39249 ) 19580 19669 M ( 147 , 23763 ) ( 267 , 13083 ) 11808 6408 27755 M ( 441 , 7921 ) 3740 4181 P ( 801 , 4361 ) 1780 2581 M ( 623 , 5607 ) 2492 3115 1 M 11955 6675 1 M 35669 1 7 P 35620 27692 3 M ( 49 , 71289 ) ( 63 , 55447 ) P 21 7 89 M 3 1 M 267 623 4 9 89 13 _____________________________________________________________________________ 14912 1870 ( 2 , 1748450 ) 14914 1870 ( 22 , 158950 ) 14913 1870 ( 10 , 349690 ) 874224 174840 79464 874226 174850 79486 M M M 2 10 22 694 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14915 1870 ( 34 , 102850 ) 14917 1870 ( 110 , 31790 ) 14916 14918 14919 14920 14921 14922 14923 14924 1870 1870 1870 1870 1870 1870 1870 1870 ( 50 , 69938 ) ( 170 , 20570 ) ( 242 , 14450 ) 51408 34944 15840 10200 7104 51442 34994 M 15950 2 M 10370 7346 M M M 2 4488 4862 M 374 ( 578 , 6050 ) 2736 3314 M 2 ( 850 , 4114 ) ( 1210 , 2890 ) 2904 1632 840 3454 M 2482 22 M 2050 110 170 ( 374 , 9350 ) ( 550 , 6358 ) 34 34 M 0 13 10 13 _____________________________________________________________________________ 14925 1871 ( 1 , 3500641 ) 1750320 1750321 P 1 0 1 1 _____________________________________________________________________________ 14926 1872 ( 2 , 1752192 ) 14928 1872 ( 6 , 584064 ) 14927 14929 14930 14931 14932 14933 14934 14935 14936 14937 1872 1872 1872 1872 1872 1872 1872 1872 1872 1872 876095 876097 P 1 ( 4 , 876096 ) 438046 438050 M 2 ( 8 , 438048 ) 219020 219028 M 4 ( 12 , 292032 ) ( 16 , 219024 ) ( 18 , 194688 ) ( 24 , 146016 ) ( 26 , 134784 ) ( 32 , 109512 ) ( 36 , 97344 ) ( 48 , 73008 ) 292029 146010 109504 292035 M 146022 109520 M 97335 97353 M 67379 67405 M 72996 54740 48654 36480 73020 54772 48690 36528 3 M M M M M 6 9 16 12 13 4 18 48 695 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14938 1872 ( 52 , 67392 ) 33670 33722 M 26 14940 1872 ( 64 , 54756 ) 27346 27410 M 2 14939 14941 14942 14943 14944 14945 14946 14947 14948 14949 14950 14951 14952 14953 14954 14955 14956 14957 14958 14959 14960 14961 14962 14963 14964 1872 1872 1872 1872 1872 1872 1872 1872 1872 1872 1872 1872 1872 1872 1872 1872 1872 1872 1872 1872 1872 1872 1872 1872 1872 ( 54 , 64896 ) ( 72 , 48672 ) ( 78 , 44928 ) ( 96 , 36504 ) ( 104 , 33696 ) ( 108 , 32448 ) ( 128 , 27378 ) ( 144 , 24336 ) ( 156 , 22464 ) ( 162 , 21632 ) ( 192 , 18252 ) ( 208 , 16848 ) ( 216 , 16224 ) ( 234 , 14976 ) ( 288 , 12168 ) ( 312 , 11232 ) ( 324 , 10816 ) ( 338 , 10368 ) 32421 24300 22425 18204 16796 16170 13625 12096 11154 10735 32475 M 24372 M 22503 16900 13753 11310 8220 M 5460 5246 5015 5772 5570 5353 144 M 8004 6228 1 M M 5940 6 P 12240 7605 52 M 9222 7371 12 M 16278 8528 39 M 9030 8320 36 M 18300 10897 3 M M M M M P P 78 6 208 12 117 36 156 2 1 ( 384 , 9126 ) 4371 4755 M 3 ( 432 , 8112 ) 3840 4272 M 48 ( 416 , 8424 ) ( 468 , 7488 ) ( 576 , 6084 ) ( 624 , 5616 ) ( 648 , 5408 ) 4004 3510 2754 2496 2380 4420 3978 3330 3120 3028 M M M M M 1 52 234 18 624 4 696 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14965 1872 ( 676 , 5184 ) 2254 2930 M 2 14967 1872 ( 832 , 4212 ) 1690 2522 M 26 14966 14968 14969 14970 14971 14972 14973 14974 14975 14976 14977 1872 1872 1872 1872 1872 1872 1872 1872 1872 1872 1872 ( 702 , 4992 ) ( 864 , 4056 ) ( 936 , 3744 ) ( 1014 , 3456 ) ( 1152 , 3042 ) ( 1248 , 2808 ) ( 1296 , 2704 ) ( 1352 , 2592 ) ( 1404 , 2496 ) ( 1664 , 2106 ) ( 1728 , 2028 ) 2145 1596 1404 1221 2847 M 2460 39 M 2340 2235 12 M 468 M 3 945 2097 M 9 704 2000 M 16 780 620 546 221 150 2028 M 1972 156 M 1950 4 M 1885 78 M 1878 M 13 4 48 6 52 _____________________________________________________________________________ 14978 1873 ( 1 , 3508129 ) 1754064 1754065 P 1 0 1 1 _____________________________________________________________________________ 14979 1874 ( 2 , 1755938 ) 877968 877970 M 0 1 2 1 _____________________________________________________________________________ 14980 1875 ( 1 , 3515625 ) 14982 1875 ( 5 , 703125 ) 14981 14983 14984 14985 1875 1875 1875 1875 ( 3 , 1171875 ) ( 9 , 390625 ) ( 15 , 234375 ) ( 25 , 140625 ) 1757812 585936 351560 195308 117180 70300 1757813 585939 351565 195317 117195 70325 M M P M M P 3 1 5 1 15 25 697 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 14986 1875 ( 45 , 78125 ) 14988 1875 ( 125 , 28125 ) 14987 14989 14990 14991 14992 1875 1875 1875 1875 1875 ( 75 , 46875 ) ( 225 , 15625 ) ( 375 , 9375 ) ( 625 , 5625 ) ( 1125 , 3125 ) 39040 23400 14000 7700 4500 2500 1000 39085 M 23475 M 14125 7925 4875 3125 2125 5 M 75 M 25 M 125 375 M 625 M 2 125 11 13 _____________________________________________________________________________ 14993 1876 ( 2 , 1759688 ) 14995 1876 ( 8 , 439922 ) 14994 14996 14997 14998 14999 15000 15001 15002 15003 15004 15005 1876 1876 1876 1876 1876 1876 1876 1876 1876 1876 1876 ( 4 , 879844 ) ( 14 , 251384 ) ( 28 , 125692 ) ( 56 , 62846 ) ( 98 , 35912 ) ( 134 , 26264 ) ( 196 , 17956 ) ( 268 , 13132 ) 879843 439920 219957 125685 62832 31395 17907 13065 8880 6432 879845 P 439924 M 219965 62860 M 31451 6700 M 4 M M 4685 P ( 938 , 3752 ) 1407 2345 M 3551 7 1 4293 3015 M P ( 392 , 8978 ) ( 536 , 6566 ) 1 M 18005 9076 4 P 125699 13199 1 1 M 7 28 67 268 67 4 9 469 13 _____________________________________________________________________________ 15006 1877 ( 1 , 3523129 ) 1761564 1761565 1 P 0 1 1 _____________________________________________________________________________ 698 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15007 1878 ( 2 , 1763442 ) 15009 1878 ( 18 , 195938 ) 15008 15010 1878 1878 881720 ( 6 , 587814 ) 293904 ( 626 , 5634 ) 2504 97960 881722 M 293910 97978 3130 2 M 6 M M 0 4 626 2 4 _____________________________________________________________________________ 15011 1879 ( 1 , 3530641 ) 1765320 1765321 P 1 0 1 1 _____________________________________________________________________________ 15012 1880 ( 2 , 1767200 ) 15014 1880 ( 8 , 441800 ) 15013 15015 15016 15017 15018 15019 15020 15021 15022 15023 15024 15025 15026 15027 15028 15029 1880 1880 1880 1880 1880 1880 1880 1880 1880 1880 1880 1880 1880 1880 1880 1880 ( 4 , 883600 ) ( 10 , 353440 ) ( 16 , 220900 ) ( 20 , 176720 ) ( 32 , 110450 ) 883599 441798 220896 176715 110442 88350 55209 883601 P 441802 M 220904 176725 110458 88370 M 55241 M ( 80 , 44180 ) 22050 22130 M ( 100 , 35344 ) ( 160 , 22090 ) ( 188 , 18800 ) ( 200 , 17672 ) 18753 17622 10965 9306 8736 35369 8936 2 10 1 40 1 10 M 17722 9494 M P 18847 11125 5 P 44200 ( 94 , 37600 ) 8 M 44160 35319 2 M ( 40 , 88360 ) ( 50 , 70688 ) 1 47 M M M M 2 94 8 ( 376 , 9400 ) 4512 4888 M 376 ( 470 , 7520 ) 3525 3995 M 235 ( 400 , 8836 ) 4218 4618 M 2 5 699 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15030 1880 ( 752 , 4700 ) 1974 2726 M 15032 1880 ( 940 , 3760 ) 1410 2350 M 15031 15033 1880 1880 ( 800 , 4418 ) ( 1504 , 2350 ) 1809 423 2609 94 P 1927 1 470 M 4 18 47 22 _____________________________________________________________________________ 15034 1881 ( 1 , 3538161 ) 15036 1881 ( 9 , 393129 ) 196560 196569 ( 19 , 186219 ) 93100 93119 M 53592 53625 M 15035 15037 15038 15039 15040 15041 15042 15043 15044 15045 15046 15047 15048 15049 15050 15051 15052 15053 15054 1881 1881 1881 1881 1881 1881 1881 1881 1881 1881 1881 1881 1881 1881 1881 1881 1881 1881 1881 ( 3 , 1179387 ) ( 11 , 321651 ) ( 27 , 131043 ) ( 33 , 107217 ) 1769080 589692 160820 65508 1769081 589695 M 160831 65535 31065 M ( 99 , 35739 ) 17820 17919 M ( 121 , 29241 ) ( 171 , 20691 ) ( 209 , 16929 ) ( 297 , 11913 ) 14560 10260 8360 5808 21881 8569 6105 M M 4720 5081 P ( 513 , 6897 ) 3192 3705 M ( 627 , 5643 ) ( 891 , 3971 ) ( 1083 , 3267 ) ( 1089 , 3249 ) 4692 2508 1540 1092 1080 5055 3135 2431 2175 2169 M M M M M 1 11 19 3 33 57 1 99 P ( 361 , 9801 ) ( 363 , 9747 ) M P 14681 10431 9 M 31008 21800 3 M ( 57 , 62073 ) ( 81 , 43681 ) P 1 M 171 209 1 33 3 57 627 11 3 9 700 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15055 1881 ( 1539 , 2299 ) 380 1919 M 4 18 19 22 _____________________________________________________________________________ 15056 1882 ( 2 , 1770962 ) 885480 885482 M 0 1 2 1 _____________________________________________________________________________ 15057 1883 ( 1 , 3545689 ) 15059 1883 ( 49 , 72361 ) 15058 15060 1883 1883 ( 7 , 506527 ) ( 269 , 13181 ) 1772844 253260 36156 6456 1772845 253267 36205 P 6725 M M 2 P 7 1 2 1 269 4 _____________________________________________________________________________ 15061 1884 ( 2 , 1774728 ) 15063 1884 ( 6 , 591576 ) 15062 15064 15065 15066 15067 15068 15069 15070 15071 15072 15073 1884 1884 1884 1884 1884 1884 1884 1884 1884 1884 1884 887363 887365 P ( 4 , 887364 ) 443680 443684 M ( 8 , 443682 ) 221837 221845 P ( 12 , 295788 ) ( 18 , 197192 ) ( 24 , 147894 ) 295785 147888 98587 73935 295791 98605 49316 ( 314 , 11304 ) 5495 5809 ( 72 , 49298 ) 24613 P 73959 49280 24685 4 M 147900 ( 36 , 98596 ) 1 3 1 M 1 M M 4 P M 157 2512 3140 M 628 ( 1256 , 2826 ) 785 2041 M 157 1413 2355 3 1 ( 628 , 5652 ) ( 942 , 3768 ) 12 M 471 4 9 13 _____________________________________________________________________________ 701 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15074 1885 ( 1 , 3553225 ) 15076 1885 ( 13 , 273325 ) 15075 15077 15078 15079 15080 15081 15082 15083 15084 15085 15086 1885 1885 1885 1885 1885 1885 1885 1885 1885 1885 1885 1776612 1776613 ( 5 , 710645 ) 355320 355325 ( 25 , 142129 ) 71052 71077 ( 29 , 122525 ) ( 65 , 54665 ) ( 145 , 24505 ) ( 169 , 21025 ) ( 325 , 10933 ) 136656 61248 27300 12180 10428 5304 136669 P 61277 27365 10597 M 4901 M ( 841 , 4225 ) 1692 2533 P ( 845 , 4205 ) 1680 2813 1 13 65 145 P 1 13 377 M 2525 1 29 M 4524 2088 M M 12325 5629 5 M ( 377 , 9425 ) ( 725 , 4901 ) M P 29 1 M 4 9 5 13 _____________________________________________________________________________ 15087 1886 ( 2 , 1778498 ) 15089 1886 ( 82 , 43378 ) 15088 15090 1886 1886 889248 889250 ( 46 , 77326 ) 38640 38686 ( 1058 , 3362 ) 1152 2210 21648 21730 M M 46 M M 0 4 2 2 82 4 _____________________________________________________________________________ 15091 1887 ( 1 , 3560769 ) 15093 1887 ( 9 , 395641 ) 197816 ( 37 , 96237 ) 48100 15092 15094 15095 15096 1887 1887 1887 1887 ( 3 , 1186923 ) ( 17 , 209457 ) ( 51 , 69819 ) 1780384 593460 104720 34884 1780385 593463 197825 104737 48137 34935 M P M M M P 1 37 51 3 1 17 702 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15097 1887 ( 111 , 32079 ) 15984 15099 1887 ( 289 , 12321 ) 6016 15098 15100 15101 15102 15103 1887 1887 1887 1887 1887 ( 153 , 23273 ) ( 333 , 10693 ) 11560 5180 16095 11713 6305 5513 3145 M ( 1369 , 2601 ) 616 1985 P 2487 17 1 M 2516 1620 111 M P ( 629 , 5661 ) ( 867 , 4107 ) M 37 629 M 3 4 9 1 13 _____________________________________________________________________________ 15104 1888 ( 2 , 1782272 ) 15106 1888 ( 8 , 445568 ) 15105 15107 15108 15109 15110 15111 15112 15113 15114 15115 15116 1888 1888 1888 1888 1888 1888 1888 1888 1888 1888 1888 ( 4 , 891136 ) ( 16 , 222784 ) ( 32 , 111392 ) ( 64 , 55696 ) ( 118 , 30208 ) ( 128 , 27848 ) ( 236 , 15104 ) ( 256 , 13924 ) 891135 445566 222780 111384 55680 27816 15045 13860 7434 6834 891137 P 445570 M 222788 55712 M 27880 7090 M 4012 M ( 944 , 3776 ) 1416 2360 M 3737 8 8 M 32 59 4 118 M 3540 3225 M M ( 472 , 7552 ) ( 512 , 6962 ) 4 M 15163 7670 2 M 111400 13988 1 2 236 P 1 2 11 472 13 _____________________________________________________________________________ 15117 1889 ( 1 , 3568321 ) 1784160 1784161 1 P 0 1 1 _____________________________________________________________________________ 703 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15118 1890 ( 2 , 1786050 ) 15120 1890 ( 10 , 357210 ) 15119 15121 15122 15123 15124 15125 15126 15127 15128 15129 15130 15131 15132 15133 15134 15135 15136 15137 15138 15139 15140 15141 15142 15143 15144 1890 1890 1890 1890 1890 1890 1890 1890 1890 1890 1890 1890 1890 1890 1890 1890 1890 1890 1890 1890 1890 1890 1890 1890 1890 ( 6 , 595350 ) ( 14 , 255150 ) ( 18 , 198450 ) ( 30 , 119070 ) 893024 297672 178600 127568 99216 59520 893026 M 297678 2 M 178610 6 M 127582 99234 M 59550 10 M 14 18 M 30 ( 42 , 85050 ) 42504 42546 M 42 ( 54 , 66150 ) 33048 33102 M 54 ( 50 , 71442 ) ( 70 , 51030 ) ( 90 , 39690 ) ( 98 , 36450 ) ( 126 , 28350 ) ( 150 , 23814 ) ( 162 , 22050 ) ( 210 , 17010 ) ( 270 , 13230 ) ( 294 , 12150 ) ( 350 , 10206 ) 35696 25480 19800 18176 14112 11832 10944 35746 M 25550 M 19890 14238 M 8610 M 5928 6222 M 4928 5278 2 M 11982 6750 90 M 8400 6480 70 M 18274 11106 2 M M M 6 18 210 270 6 14 ( 378 , 9450 ) 4536 4914 M 378 ( 486 , 7350 ) 3432 3918 M 6 ( 450 , 7938 ) ( 490 , 7290 ) ( 630 , 5670 ) ( 810 , 4410 ) ( 882 , 4050 ) ( 1050 , 3402 ) 3744 3400 2520 1800 1584 1176 4194 3890 3150 2610 2466 2226 M M M M M M 126 18 10 630 90 18 42 704 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15145 1890 ( 1134 , 3150 ) 1008 15147 1890 ( 1458 , 2450 ) 496 15146 15148 1890 1890 ( 1350 , 2646 ) ( 1470 , 2430 ) 2142 M 126 648 1998 M 54 480 1950 M 30 1954 M 2 0 31 31 _____________________________________________________________________________ 15149 1891 ( 1 , 3575881 ) 15151 1891 ( 61 , 58621 ) 15150 15152 1891 1891 ( 31 , 115351 ) ( 961 , 3721 ) 1787940 57660 29280 1380 1787941 57691 29341 2341 P P M M 2 2 31 1 61 1 4 _____________________________________________________________________________ 15153 1892 ( 2 , 1789832 ) 15155 1892 ( 8 , 447458 ) 15154 15156 15157 15158 15159 15160 15161 15162 15163 15164 15165 1892 1892 1892 1892 1892 1892 1892 1892 1892 1892 1892 894915 894917 ( 4 , 894916 ) 447456 447460 ( 22 , 162712 ) 81345 81367 223725 P 1 M 223733 4 P 1 M 11 ( 44 , 81356 ) 40656 40700 M 44 ( 88 , 40678 ) 20295 20383 M 11 ( 86 , 41624 ) ( 172 , 20812 ) ( 242 , 14792 ) ( 344 , 10406 ) 20769 10320 7275 5031 20855 10492 7517 5375 M P 3456 3940 M ( 968 , 3698 ) 1365 2333 P 1419 2365 M 172 1 M ( 484 , 7396 ) ( 946 , 3784 ) 43 43 4 M 473 4 9 1 13 _____________________________________________________________________________ 705 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15166 1893 ( 1 , 3583449 ) 15168 1893 ( 9 , 398161 ) 15167 15169 1893 1893 ( 3 , 1194483 ) ( 631 , 5679 ) 1791724 597240 199076 2524 1791725 597243 199085 3155 M P P M 2 2 1 631 3 1 4 _____________________________________________________________________________ 15170 1894 ( 2 , 1793618 ) 896808 896810 M 0 1 1 2 _____________________________________________________________________________ 15171 1895 ( 1 , 3591025 ) 15173 1895 ( 25 , 143641 ) 15172 15174 1895 1895 1795512 ( 5 , 718205 ) 359100 ( 379 , 9475 ) 4548 71808 1795513 359105 71833 4927 M M P P 2 1 2 5 1 379 4 _____________________________________________________________________________ 15175 1896 ( 2 , 1797408 ) 15177 1896 ( 6 , 599136 ) 15176 15178 15179 15180 15181 15182 15183 15184 15185 15186 1896 1896 1896 1896 1896 1896 1896 1896 1896 1896 898703 898705 P 1 ( 4 , 898704 ) 449350 449354 M 2 ( 8 , 449352 ) 224672 224680 M 8 ( 12 , 299568 ) ( 16 , 224676 ) ( 18 , 199712 ) ( 24 , 149784 ) ( 32 , 112338 ) 299565 149778 112330 299571 M 149790 112346 M 99847 99865 P 56153 56185 P 74880 74904 3 M M 6 1 24 1 ( 36 , 99856 ) 49910 49946 M 2 ( 72 , 49928 ) 24928 25000 M 8 ( 48 , 74892 ) 37422 37470 M 2 6 706 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15187 1896 ( 96 , 37446 ) 15189 1896 ( 158 , 22752 ) 15188 15190 15191 15192 15193 15194 15195 15196 1896 1896 1896 1896 1896 1896 1896 1896 ( 144 , 24964 ) ( 288 , 12482 ) ( 316 , 11376 ) 18675 12410 11297 6097 5530 18771 M 12554 M 11455 6385 5846 3 M P 79 1 M 158 ( 474 , 7584 ) 3555 4029 M 237 ( 948 , 3792 ) 1422 2370 M 474 ( 632 , 5688 ) ( 1264 , 2844 ) ( 1422 , 2528 ) 2528 790 553 3160 M 2054 632 M 1975 2 158 M 4 18 79 22 _____________________________________________________________________________ 15197 1897 ( 1 , 3598609 ) 15199 1897 ( 49 , 73441 ) 15198 15200 1897 1897 ( 7 , 514087 ) ( 271 , 13279 ) 1799304 257040 36696 6504 1799305 257047 36745 6775 P M M 2 P 7 1 2 1 271 4 _____________________________________________________________________________ 15201 1898 ( 2 , 1801202 ) 15203 1898 ( 146 , 24674 ) 15202 15204 1898 1898 900600 ( 26 , 138554 ) 69264 ( 338 , 10658 ) 5160 12264 900602 69290 12410 5498 M M M 2 26 M 0 4 2 146 4 _____________________________________________________________________________ 15205 1899 ( 1 , 3606201 ) 15207 1899 ( 9 , 400689 ) 15206 1899 ( 3 , 1202067 ) 1803100 601032 200340 1803101 601035 200349 M M P 3 9 1 707 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15208 1899 ( 27 , 133563 ) 15210 1899 ( 211 , 17091 ) 15209 15211 1899 1899 66768 ( 81 , 44521 ) 22220 ( 633 , 5697 ) 2532 8440 66795 22301 8651 3165 M P 1 M M 3 211 2 5 633 7 _____________________________________________________________________________ 15212 1900 ( 2 , 1805000 ) 15214 1900 ( 8 , 451250 ) 15213 15215 15216 15217 15218 15219 15220 15221 15222 15223 15224 15225 15226 15227 15228 15229 15230 15231 15232 1900 1900 1900 1900 1900 1900 1900 1900 1900 1900 1900 1900 1900 1900 1900 1900 1900 1900 1900 ( 4 , 902500 ) ( 10 , 361000 ) ( 20 , 180500 ) 902499 451248 225621 180495 90240 902501 P 451252 1 M 225629 4 P 180505 90260 M 1 M 20 ( 38 , 95000 ) 47481 47519 M 19 ( 50 , 72200 ) 36075 36125 M 25 ( 40 , 90250 ) ( 76 , 47500 ) ( 100 , 36100 ) ( 152 , 23750 ) ( 190 , 19000 ) ( 200 , 18050 ) ( 250 , 14440 ) 45105 23712 18000 11799 45145 M 23788 11951 9595 M 7095 7345 M 9125 4560 4940 M ( 722 , 5000 ) 2139 2861 P ( 760 , 4750 ) ( 950 , 3800 ) ( 1000 , 3610 ) ( 1250 , 2888 ) 3360 1995 1425 1305 819 3860 2755 2375 2305 2069 100 M 95 M ( 380 , 9500 ) ( 500 , 7220 ) 76 M 9405 8925 5 M 18100 M M M M P 5 25 5 380 20 1 95 475 1 5 19 708 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15233 1900 ( 1444 , 2500 ) 528 1972 M 4 18 4 22 _____________________________________________________________________________ 15234 1901 ( 1 , 3613801 ) 1806900 1806901 P 1 0 1 1 _____________________________________________________________________________ 15235 1902 ( 2 , 1808802 ) 15237 1902 ( 18 , 200978 ) 15236 15238 1902 1902 904400 ( 6 , 602934 ) 301464 ( 634 , 5706 ) 2536 100480 904402 M 301470 M 100498 3170 2 6 M M 0 4 2 634 4 _____________________________________________________________________________ 15239 1903 ( 1 , 3621409 ) 15241 1903 ( 121 , 29929 ) 15240 15242 1903 1903 1810704 ( 11 , 329219 ) 164604 ( 173 , 20933 ) 10380 14904 1810705 164615 15025 10553 P M M 2 P 1 11 1 2 173 4 _____________________________________________________________________________ 15243 1904 ( 2 , 1812608 ) 15245 1904 ( 8 , 453152 ) 15244 15246 15247 15248 15249 15250 15251 1904 1904 1904 1904 1904 1904 1904 ( 4 , 906304 ) ( 14 , 258944 ) ( 16 , 226576 ) ( 28 , 129472 ) ( 32 , 113288 ) ( 34 , 106624 ) ( 56 , 64736 ) 906303 453150 226572 129465 113280 906305 P 453154 M 226580 64750 M 53295 53329 M 32340 56660 32396 4 M 64722 56628 2 M 129479 113296 1 M M M 7 16 14 4 17 28 709 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15252 1904 ( 64 , 56644 ) 28290 28354 M 15254 1904 ( 98 , 36992 ) 18447 18545 P 15253 15255 15256 15257 15258 15259 15260 15261 15262 15263 15264 15265 15266 15267 15268 15269 15270 15271 15272 15273 1904 1904 1904 1904 1904 1904 1904 1904 1904 1904 1904 1904 1904 1904 1904 1904 1904 1904 1904 1904 ( 68 , 53312 ) ( 112 , 32368 ) ( 128 , 28322 ) ( 136 , 26656 ) ( 196 , 18496 ) ( 224 , 16184 ) ( 238 , 15232 ) ( 272 , 13328 ) 26622 16128 14097 13260 26690 M 16240 14225 13396 M 7497 7735 M 8204 6800 1 P 9346 6528 34 M 9150 7980 2 1 M 2 M 119 M 272 4428 4820 M 4 ( 476 , 7616 ) 3570 4046 M 238 ( 544 , 6664 ) ( 578 , 6272 ) ( 784 , 4624 ) ( 896 , 4046 ) ( 952 , 3808 ) ( 1088 , 3332 ) ( 1156 , 3136 ) ( 1568 , 2312 ) ( 1666 , 2176 ) 3822 3060 2847 1920 1575 1428 1122 4270 M 3604 14 M 3425 68 P 2704 1 M 2471 16 M 2380 2210 7 M 476 M 34 990 2146 M 2 255 1921 M 17 372 1940 68 28 ( 392 , 9248 ) ( 448 , 8092 ) 112 M 4 4 27 31 _____________________________________________________________________________ 15274 1905 ( 1 , 3629025 ) 15276 1905 ( 5 , 725805 ) 15275 1905 ( 3 , 1209675 ) 1814512 604836 362900 1814513 604839 362905 M M P 3 5 1 710 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15277 1905 ( 9 , 403225 ) 201608 201617 15279 1905 ( 25 , 145161 ) 72568 72593 15278 15280 15281 15282 15283 15284 15285 15286 1905 1905 1905 1905 1905 1905 1905 1905 ( 15 , 241935 ) ( 45 , 80645 ) ( 75 , 48387 ) ( 127 , 28575 ) ( 225 , 16129 ) ( 381 , 9525 ) ( 635 , 5715 ) ( 1143 , 3175 ) 120960 40300 24156 14224 7952 4572 2540 1016 P 120975 P 40345 3175 2159 1 3 M P 15 5 M 14351 4953 M M 24231 8177 1 1 M 127 381 M 635 M 4 9 127 13 _____________________________________________________________________________ 15287 1906 ( 2 , 1816418 ) 908208 908210 M 0 1 2 1 _____________________________________________________________________________ 15288 1907 ( 1 , 3636649 ) 1818324 1818325 P 1 0 1 1 _____________________________________________________________________________ 15289 1908 ( 2 , 1820232 ) 15291 1908 ( 6 , 606744 ) 15290 15292 15293 15294 15295 15296 15297 1908 1908 1908 1908 1908 1908 1908 910115 910117 P ( 4 , 910116 ) 455056 455060 M ( 8 , 455058 ) 227525 227533 P ( 12 , 303372 ) ( 18 , 202248 ) ( 24 , 151686 ) ( 36 , 101124 ) ( 54 , 67416 ) 303369 151680 101115 75831 50544 33681 303375 75855 50580 33735 4 M 151692 101133 1 3 1 M M M M M 3 3 12 9 36 711 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15298 1908 ( 72 , 50562 ) 15300 1908 ( 108 , 33708 ) 15299 15301 15302 15303 15304 15305 15306 15307 15308 15309 15310 1908 1908 1908 1908 1908 1908 1908 1908 1908 1908 1908 ( 106 , 34344 ) ( 162 , 22472 ) ( 212 , 17172 ) ( 216 , 16854 ) ( 318 , 11448 ) ( 324 , 11236 ) 25245 17119 16800 11155 25317 M 17225 M 16908 M 11317 8480 8692 M 5565 5883 M 8319 5456 8535 5780 4505 M ( 648 , 5618 ) 2485 3133 P ( 954 , 3816 ) ( 1272 , 2862 ) 2544 1431 795 3180 P 1 212 3 159 M 4081 4 53 M 2385 636 1 M 2067 53 12 M ( 424 , 8586 ) ( 636 , 5724 ) 9 477 M 4 18 159 22 _____________________________________________________________________________ 15311 1909 ( 1 , 3644281 ) 15313 1909 ( 83 , 43907 ) 15312 15314 1909 1909 ( 23 , 158447 ) ( 529 , 6889 ) 1822140 79212 21912 3180 1822141 79235 21995 3709 P P M M 2 2 23 1 1 83 4 _____________________________________________________________________________ 15315 1910 ( 2 , 1824050 ) 15317 1910 ( 50 , 72962 ) 15316 15318 1910 1910 ( 10 , 364810 ) ( 382 , 9550 ) 912024 182400 36456 4584 912026 182410 36506 4966 M M M 0 2 M 2 4 10 382 4 _____________________________________________________________________________ 712 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15319 1911 ( 1 , 3651921 ) 15321 1911 ( 7 , 521703 ) 15320 15322 15323 15324 15325 15326 15327 15328 15329 15330 15331 15332 15333 15334 15335 15336 15337 15338 15339 15340 1911 1911 1911 1911 1911 1911 1911 1911 1911 1911 1911 1911 1911 1911 1911 1911 1911 1911 1911 1911 ( 3 , 1217307 ) ( 9 , 405769 ) ( 13 , 280917 ) ( 21 , 173901 ) 1825960 608652 260848 202880 140452 86940 1825961 608655 M 260855 P 3 M 202889 7 P 140465 86961 M 1 M 46800 46839 M 39 ( 63 , 57967 ) 28952 29015 M 7 ( 91 , 40131 ) ( 117 , 31213 ) ( 147 , 24843 ) ( 169 , 21609 ) ( 273 , 13377 ) ( 343 , 10647 ) 37240 20020 15548 12348 10720 6552 5152 37289 M 20111 91 M 12495 13 M 10889 6825 5495 49 M 15665 M 147 P 1 273 M 7 ( 441 , 8281 ) 3920 4361 M 49 ( 637 , 5733 ) 2548 3185 M 637 ( 507 , 7203 ) ( 819 , 4459 ) ( 1029 , 3549 ) ( 1183 , 3087 ) ( 1521 , 2401 ) 3348 1820 1260 952 440 3855 2639 2289 2135 1961 M 3 M 91 M 21 M P 13 21 ( 39 , 93639 ) ( 49 , 74529 ) 1 7 4 18 1 22 _____________________________________________________________________________ 15341 1912 ( 2 , 1827872 ) 15343 1912 ( 8 , 456968 ) 15342 1912 ( 4 , 913936 ) 913935 456966 228480 913937 456970 228488 P M M 1 2 8 713 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15344 1912 ( 16 , 228484 ) 15346 1912 ( 478 , 7648 ) 15345 15347 1912 1912 ( 32 , 114242 ) ( 956 , 3824 ) 114234 57105 3585 1434 114250 57137 4063 2390 P M M M 1 2 239 2 5 478 7 _____________________________________________________________________________ 15348 1913 ( 1 , 3659569 ) 1829784 1829785 P 1 0 1 1 _____________________________________________________________________________ 15349 1914 ( 2 , 1831698 ) 15351 1914 ( 18 , 203522 ) 15350 15352 15353 15354 15355 15356 15357 15358 15359 15360 15361 1914 1914 1914 1914 1914 1914 1914 1914 1914 1914 1914 915848 915850 ( 6 , 610566 ) 305280 305286 ( 22 , 166518 ) 83248 83270 ( 58 , 63162 ) ( 66 , 55506 ) ( 174 , 21054 ) ( 198 , 18502 ) ( 242 , 15138 ) 101752 31552 27720 10440 9152 7448 M M 101770 M 31610 9350 7690 6 M 2 22 M 27786 10614 2 58 M M 66 M 22 M 2 ( 522 , 7018 ) 3248 3770 M 58 ( 726 , 5046 ) 2160 2886 M 6 ( 638 , 5742 ) ( 1682 , 2178 ) 2552 248 3190 M 1930 M 174 638 0 13 2 13 _____________________________________________________________________________ 15362 1915 ( 1 , 3667225 ) 15364 1915 ( 25 , 146689 ) 15363 1915 ( 5 , 733445 ) 1833612 366720 73332 1833613 366725 73357 M P P 1 5 1 714 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15365 1915 ( 383 , 9575 ) 4596 4979 M 2 2 383 4 _____________________________________________________________________________ 15366 1916 ( 2 , 1835528 ) 15368 1916 ( 8 , 458882 ) 15367 15369 1916 1916 917763 ( 4 , 917764 ) 458880 ( 958 , 3832 ) 1437 229437 917765 P 458884 229445 2395 1 M 4 P M 2 2 1 479 4 _____________________________________________________________________________ 15370 1917 ( 1 , 3674889 ) 15372 1917 ( 9 , 408321 ) 204156 ( 71 , 51759 ) 25844 25915 ( 213 , 17253 ) 8520 8733 15371 15373 15374 15375 15376 15377 15378 15379 1917 1917 1917 1917 1917 1917 1917 1917 ( 3 , 1224963 ) ( 27 , 136107 ) ( 81 , 45369 ) ( 243 , 15123 ) ( 639 , 5751 ) ( 729 , 5041 ) 1837444 612480 68040 22644 7440 2556 2156 1837445 612483 M 204165 2885 27 M 71 M 9 M 213 M 3 M P 1 9 M 22725 3195 3 M 68067 7683 P 639 2 8 1 10 _____________________________________________________________________________ 15380 1918 ( 2 , 1839362 ) 15382 1918 ( 98 , 37538 ) 15381 15383 1918 1918 ( 14 , 262766 ) ( 274 , 13426 ) 919680 131376 18720 6576 919682 131390 18818 6850 M M M 0 2 M 2 4 14 274 4 _____________________________________________________________________________ 715 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15384 1919 ( 1 , 3682561 ) 15386 1919 ( 101 , 36461 ) 15385 15387 1919 1919 1841280 ( 19 , 193819 ) 96900 ( 361 , 10201 ) 4920 18180 1841281 96919 18281 5281 P P M M 2 2 19 1 1 101 4 _____________________________________________________________________________ 15388 1920 ( 2 , 1843200 ) 15390 1920 ( 6 , 614400 ) 15389 15391 15392 15393 15394 15395 15396 15397 15398 15399 15400 15401 15402 15403 15404 15405 15406 15407 15408 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 921599 921601 P 1 ( 4 , 921600 ) 460798 460802 M 2 ( 8 , 460800 ) 230396 230404 M 4 ( 10 , 368640 ) ( 12 , 307200 ) ( 16 , 230400 ) ( 18 , 204800 ) ( 20 , 184320 ) ( 24 , 153600 ) ( 30 , 122880 ) ( 32 , 115200 ) ( 36 , 102400 ) 307197 184315 153594 115192 102391 307203 M 184325 M 153606 92170 M 61425 61455 M 57584 51182 76812 57616 51218 M 46100 M ( 50 , 73728 ) 36839 36889 P ( 60 , 61440 ) ( 64 , 57600 ) ( 72 , 51200 ) ( 80 , 46080 ) ( 90 , 40960 ) 30690 28768 25564 23000 20435 38424 30750 28832 25636 23080 20525 P 1 10 12 15 M 46060 38376 8 M ( 40 , 92160 ) ( 48 , 76800 ) 6 M 92150 76788 5 M 115208 102409 3 M M M M M M 16 2 20 24 1 30 32 4 40 5 716 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15409 1920 ( 96 , 38400 ) 15411 1920 ( 120 , 30720 ) 15410 15412 15413 15414 15415 15416 15417 15418 15419 15420 15421 15422 15423 15424 15425 15426 15427 15428 15429 15430 15431 15432 15433 15434 15435 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 1920 ( 100 , 36864 ) ( 128 , 28800 ) ( 144 , 25600 ) ( 150 , 24576 ) ( 160 , 23040 ) ( 180 , 20480 ) ( 192 , 19200 ) ( 200 , 18432 ) ( 240 , 15360 ) ( 256 , 14400 ) ( 288 , 12800 ) ( 300 , 12288 ) ( 320 , 11520 ) ( 360 , 10240 ) 19152 18382 15300 14336 12728 12213 11440 10150 19248 M 18482 M 15420 12872 11600 7560 7800 M 6256 5994 5600 4940 6544 6294 5920 5300 ( 450 , 8192 ) 3871 4321 P ( 512 , 7200 ) ( 576 , 6400 ) ( 600 , 6144 ) ( 640 , 5760 ) ( 720 , 5120 ) ( 768 , 4800 ) ( 800 , 4608 ) 3600 3344 2912 2772 2560 2200 2016 1904 4080 3856 3488 3372 3200 2920 2784 2704 120 32 16 6 M M M M M M M M M M M 10 4 M M ( 480 , 7680 ) 96 M 4992 4808 M M 4608 4408 80 M ( 384 , 9600 ) ( 400 , 9216 ) 3 M M 7328 8 M 9696 7072 128 M 12363 9316 60 M 9504 9116 2 M 14464 10330 48 160 20 384 8 1 240 16 32 12 640 40 96 16 717 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15436 1920 ( 900 , 4096 ) 15438 1920 ( 1024 , 3600 ) 15437 15439 15440 15441 15442 15443 15444 15445 1920 1920 1920 1920 1920 1920 1920 1920 ( 960 , 3840 ) ( 1152 , 3200 ) ( 1200 , 3072 ) ( 1280 , 2880 ) ( 1440 , 2560 ) ( 1536 , 2400 ) ( 1600 , 2304 ) ( 1800 , 2048 ) 1598 1440 1288 1024 2498 M 2400 2312 2176 2 M 480 M 8 M 128 936 2136 M 24 560 2000 M 80 800 432 352 124 2080 M 1968 160 M 1952 48 M 1924 32 M 4 54 4 58 _____________________________________________________________________________ 15446 1921 ( 1 , 3690241 ) 15448 1921 ( 113 , 32657 ) 15447 15449 1921 1921 1845120 ( 17 , 217073 ) 108528 ( 289 , 12769 ) 6240 16272 1845121 108545 16385 6529 P M M 2 P 2 1 17 1 113 4 _____________________________________________________________________________ 15450 15451 1922 1922 ( 2 , 1847042 ) ( 62 , 59582 ) 923520 29760 923522 29822 M M 0 2 62 2 2 _____________________________________________________________________________ 15452 1923 ( 1 , 3697929 ) 15454 1923 ( 9 , 410881 ) 15453 15455 1923 1923 ( 3 , 1232643 ) ( 641 , 5769 ) 1848964 616320 205436 2564 1848965 616323 205445 3205 M M P P 2 2 641 4 1 3 1 718 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 15456 1924 ( 2 , 1850888 ) 15458 1924 ( 8 , 462722 ) 15457 15459 15460 15461 15462 15463 15464 15465 15466 15467 15468 1924 1924 1924 1924 1924 1924 1924 1924 1924 1924 1924 925443 925445 ( 4 , 925444 ) 462720 462724 ( 26 , 142376 ) 71175 71201 ( 52 , 71188 ) ( 74 , 50024 ) ( 104 , 35594 ) ( 148 , 25012 ) ( 296 , 12506 ) ( 338 , 10952 ) 231357 35568 24975 17745 12432 6105 5307 P M 231365 25049 52 M 17849 37 M 12580 6401 M 13 M 37 P 3076 M ( 1352 , 2738 ) 693 2045 P 2405 13 M 2400 1443 1 M ( 676 , 5476 ) ( 962 , 3848 ) 4 P 35620 5645 1 148 1 4 M 481 4 9 1 13 _____________________________________________________________________________ 15469 1925 ( 1 , 3705625 ) 15471 1925 ( 7 , 529375 ) 15470 15472 15473 15474 15475 15476 15477 15478 15479 1925 1925 1925 1925 1925 1925 1925 1925 1925 ( 5 , 741125 ) ( 11 , 336875 ) ( 25 , 148225 ) ( 35 , 105875 ) 1852812 370560 264684 168432 74100 52920 1852813 370565 M 264691 168443 74125 52955 M M 37788 37837 P ( 77 , 48125 ) 24024 24101 M ( 121 , 30625 ) ( 125 , 29645 ) 33660 15252 14760 33715 15373 14885 5 M ( 49 , 75625 ) ( 55 , 67375 ) P M P M 7 M 1 11 25 1 35 55 77 1 5 719 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15480 1925 ( 175 , 21175 ) 10500 15482 1925 ( 275 , 13475 ) 6600 15481 15483 15484 15485 15486 15487 15488 15489 15490 1925 1925 1925 1925 1925 1925 1925 1925 1925 ( 245 , 15125 ) 7440 10675 7685 6875 M M 175 5 M 275 ( 385 , 9625 ) 4620 5005 M 385 ( 605 , 6125 ) 2760 3365 M 5 ( 539 , 6875 ) ( 625 , 5929 ) ( 847 , 4375 ) ( 875 , 4235 ) ( 1225 , 3025 ) ( 1375 , 2695 ) 3168 2652 1764 1680 900 660 3707 M 3277 11 P 2611 1 M 2555 7 M 2125 35 M 2035 25 M 4 18 55 22 _____________________________________________________________________________ 15491 1926 ( 2 , 1854738 ) 15493 1926 ( 18 , 206082 ) 15492 15494 15495 15496 15497 1926 1926 1926 1926 1926 927368 927370 ( 6 , 618246 ) 309120 ( 54 , 68694 ) 34320 34374 ( 214 , 17334 ) 8560 8774 ( 162 , 22898 ) ( 642 , 5778 ) 103032 11368 2568 M 309126 M 103050 11530 3210 2 M M M 6 M 6 M 0 18 2 214 7 642 7 _____________________________________________________________________________ 15498 1927 ( 1 , 3713329 ) 15500 1927 ( 47 , 79007 ) 15499 15501 1927 1927 1856664 ( 41 , 90569 ) 45264 ( 1681 , 2209 ) 264 39480 1856665 45305 39527 1945 M P P M 2 2 41 1 47 4 1 720 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 15502 1928 ( 2 , 1858592 ) 15504 1928 ( 8 , 464648 ) 15503 15505 15506 15507 15508 1928 1928 1928 1928 1928 ( 4 , 929296 ) ( 16 , 232324 ) ( 32 , 116162 ) ( 482 , 7712 ) ( 964 , 3856 ) 929295 464646 232320 116154 58065 3615 1446 929297 P 464650 M 232328 4097 2410 2 M 116170 58097 1 P M M 8 M 2 1 241 2 5 482 7 _____________________________________________________________________________ 15509 1929 ( 1 , 3721041 ) 15511 1929 ( 9 , 413449 ) 15510 15512 1929 1929 ( 3 , 1240347 ) ( 643 , 5787 ) 1860520 620172 206720 2572 1860521 620175 206729 3215 M P P M 2 2 643 1 3 1 4 _____________________________________________________________________________ 15513 1930 ( 2 , 1862450 ) 15515 1930 ( 50 , 74498 ) 15514 15516 1930 1930 ( 10 , 372490 ) ( 386 , 9650 ) 931224 186240 37224 4632 931226 186250 37274 5018 M M M 2 M 0 2 4 10 386 4 _____________________________________________________________________________ 15517 1931 ( 1 , 3728761 ) 1864380 1864381 P 1 0 1 1 _____________________________________________________________________________ 15518 15519 1932 1932 ( 2 , 1866312 ) ( 4 , 933156 ) 933155 466576 933157 466580 P M 1 4 721 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15520 1932 ( 6 , 622104 ) 15522 1932 ( 12 , 311052 ) 15521 15523 15524 15525 15526 15527 15528 15529 15530 15531 15532 15533 15534 15535 15536 15537 15538 15539 15540 15541 15542 15543 15544 15545 15546 1932 1932 1932 1932 1932 1932 1932 1932 1932 1932 1932 1932 1932 1932 1932 1932 1932 1932 1932 1932 1932 1932 1932 1932 1932 ( 8 , 466578 ) ( 14 , 266616 ) ( 18 , 207368 ) ( 24 , 155526 ) ( 28 , 133308 ) ( 36 , 103684 ) 311049 233285 155520 133301 103675 311055 M 233293 P 155532 1 M 133315 M 103693 77751 77775 M 51824 51860 M 66640 3 66668 7 P 3 M 4 44415 44457 M 21 ( 56 , 66654 ) 33299 33355 M 7 ( 72 , 51842 ) ( 84 , 44436 ) ( 92 , 40572 ) ( 98 , 38088 ) ( 126 , 29624 ) ( 138 , 27048 ) ( 168 , 22218 ) ( 184 , 20286 ) ( 196 , 19044 ) ( 252 , 14812 ) ( 276 , 13524 ) ( 294 , 12696 ) ( 322 , 11592 ) 40549 25885 22176 20240 18995 14749 13455 11025 10051 40595 M 25957 19093 13593 M 11193 6624 6900 M 5635 5957 4565 4957 P ( 504 , 7406 ) 3451 3955 M 4301 4715 M 4 M 23 28 276 M ( 392 , 9522 ) ( 414 , 9016 ) 21 M M 7 69 M M 6495 1 M 9620 6201 92 P 14875 7532 84 M 9424 7280 1 M 20332 10235 23 P 22260 1 28 ( 42 , 88872 ) ( 46 , 81144 ) 12 3 1 161 23 7 722 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15547 1932 ( 552 , 6762 ) 3105 3657 M 69 15549 1932 ( 644 , 5796 ) 2576 3220 M 644 15548 15550 15551 15552 15553 15554 15555 15556 15557 1932 1932 1932 1932 1932 1932 1932 1932 1932 ( 588 , 6348 ) ( 828 , 4508 ) ( 882 , 4232 ) ( 966 , 3864 ) ( 1058 , 3528 ) ( 1176 , 3174 ) ( 1288 , 2898 ) ( 1656 , 2254 ) ( 1764 , 2116 ) 2880 1840 1675 1449 1235 3468 M 2668 12 M 2557 92 P 2415 2293 1 M 483 P 1 999 2175 M 3 299 1955 M 23 805 176 2093 M 1940 161 M 8 32 4 40 _____________________________________________________________________________ 15558 1933 ( 1 , 3736489 ) 1868244 1868245 P 1 0 1 1 _____________________________________________________________________________ 15559 1934 ( 2 , 1870178 ) 935088 935090 M 0 1 2 1 _____________________________________________________________________________ 15560 1935 ( 1 , 3744225 ) 15562 1935 ( 5 , 748845 ) 15561 15563 15564 15565 15566 15567 1935 1935 1935 1935 1935 1935 ( 3 , 1248075 ) ( 9 , 416025 ) ( 15 , 249615 ) ( 25 , 149769 ) ( 27 , 138675 ) ( 43 , 87075 ) 1872112 624036 374420 208008 124800 74872 69324 43516 1872113 624039 M 374425 74897 69351 43559 3 M 208017 124815 P 5 M P M M M 1 9 1 3 43 15 723 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15568 1935 ( 45 , 83205 ) 41580 41625 M 15570 1935 ( 81 , 46225 ) 23072 23153 P 15569 15571 15572 15573 15574 15575 15576 15577 15578 15579 15580 15581 1935 1935 1935 1935 1935 1935 1935 1935 1935 1935 1935 1935 ( 75 , 49923 ) ( 129 , 29025 ) ( 135 , 27735 ) ( 215 , 17415 ) ( 225 , 16641 ) 24924 14448 13800 8600 8208 24999 45 M 14577 3 1 M 13935 8815 M 8433 M 129 15 215 M 9 ( 387 , 9675 ) 4644 5031 M 387 ( 645 , 5805 ) 2580 3225 M 645 ( 405 , 9245 ) ( 675 , 5547 ) ( 1075 , 3483 ) ( 1161 , 3225 ) ( 1849 , 2025 ) 4420 2436 1204 1032 88 4825 M 3111 M 2279 2193 1937 5 3 M P 43 M 1 4 129 18 22 _____________________________________________________________________________ 15582 1936 ( 2 , 1874048 ) 15584 1936 ( 8 , 468512 ) 15583 15585 15586 15587 15588 15589 15590 15591 15592 1936 1936 1936 1936 1936 1936 1936 1936 1936 ( 4 , 937024 ) ( 16 , 234256 ) ( 22 , 170368 ) ( 32 , 117128 ) 937023 468510 234252 117120 85173 58548 937025 P 468514 M 234260 117136 85195 58580 1 2 M M M 4 M 16 11 4 ( 44 , 85184 ) 42570 42614 M 22 ( 88 , 42592 ) 21252 21340 M 44 ( 64 , 58564 ) ( 128 , 29282 ) ( 176 , 21296 ) 29250 14577 10560 29314 14705 10736 M P M 2 1 176 724 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15593 1936 ( 242 , 15488 ) 15595 1936 ( 484 , 7744 ) 3630 4114 M 242 ( 968 , 3872 ) 1452 2420 M 484 15594 15596 15597 15598 1936 1936 1936 1936 ( 352 , 10648 ) ( 704 , 5324 ) ( 1408 , 2662 ) 7623 5148 2310 627 7865 5500 3014 M 121 M 44 M 2035 22 M 2 15 11 17 _____________________________________________________________________________ 15599 1937 ( 1 , 3751969 ) 15601 1937 ( 149 , 25181 ) 15600 15602 1937 1937 1875984 ( 13 , 288613 ) 144300 ( 169 , 22201 ) 11016 12516 1875985 144313 12665 M 11185 M P 2 P 1 13 149 1 2 4 _____________________________________________________________________________ 15603 1938 ( 2 , 1877922 ) 15605 1938 ( 18 , 208658 ) 15604 15606 15607 15608 15609 15610 15611 15612 15613 15614 15615 1938 1938 1938 1938 1938 1938 1938 1938 1938 1938 1938 938960 938962 ( 6 , 625974 ) 312984 312990 ( 34 , 110466 ) 55216 55250 ( 38 , 98838 ) ( 102 , 36822 ) ( 114 , 32946 ) ( 306 , 12274 ) ( 342 , 10982 ) 104320 49400 18360 16416 5984 5320 M M 104338 M 49438 6290 5662 6 M 2 34 M 18462 16530 2 38 M M M M 102 34 38 ( 578 , 6498 ) 2960 3538 M 2 ( 722 , 5202 ) 2240 2962 M 2 ( 646 , 5814 ) ( 1734 , 2166 ) 2584 216 3230 1950 M M 646 6 114 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 725 0 13 13 _____________________________________________________________________________ 15616 1939 ( 1 , 3759721 ) 15618 1939 ( 49 , 76729 ) 15617 15619 1939 1939 ( 7 , 537103 ) ( 277 , 13573 ) 1879860 268548 38340 6648 1879861 268555 38389 P 6925 M M 2 P 7 1 2 1 277 4 _____________________________________________________________________________ 15620 1940 ( 2 , 1881800 ) 15622 1940 ( 8 , 470450 ) 15621 15623 15624 15625 15626 15627 15628 15629 15630 15631 15632 1940 1940 1940 1940 1940 1940 1940 1940 1940 1940 1940 ( 4 , 940900 ) ( 10 , 376360 ) ( 20 , 188180 ) ( 40 , 94090 ) ( 50 , 75272 ) ( 100 , 37636 ) ( 194 , 19400 ) ( 200 , 18818 ) 940899 470448 235221 188175 94080 47025 37611 18768 9603 9309 940901 P 470452 M 235229 4 P 188185 94100 M 47065 1 M M 37661 5 P 18868 9797 9509 1 M 1 M 97 P 4656 5044 M 388 ( 970 , 3880 ) 1455 2425 M 485 2037 2813 20 4 1 ( 388 , 9700 ) ( 776 , 4850 ) 5 M 97 4 9 13 _____________________________________________________________________________ 15633 1941 ( 1 , 3767481 ) 15635 1941 ( 9 , 418609 ) 15634 15636 1941 1941 ( 3 , 1255827 ) ( 647 , 5823 ) 1883740 627912 209300 2588 1883741 627915 209309 3235 M M P P 647 1 3 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 726 2 2 4 _____________________________________________________________________________ 15637 1942 ( 2 , 1885682 ) 942840 942842 M 0 1 1 2 _____________________________________________________________________________ 15638 1943 ( 1 , 3775249 ) 15640 1943 ( 67 , 56347 ) 15639 15641 1943 1943 ( 29 , 130181 ) ( 841 , 4489 ) 1887624 65076 28140 1824 1887625 65105 28207 2665 P P M M 2 2 29 1 1 67 4 _____________________________________________________________________________ 15642 1944 ( 2 , 1889568 ) 15644 1944 ( 6 , 629856 ) 15643 15645 15646 15647 15648 15649 15650 15651 15652 15653 15654 15655 15656 15657 1944 1944 1944 1944 1944 1944 1944 1944 1944 1944 1944 1944 1944 1944 944783 944785 P 1 ( 4 , 944784 ) 472390 472394 M 2 ( 8 , 472392 ) 236192 236200 M 8 ( 12 , 314928 ) ( 16 , 236196 ) ( 18 , 209952 ) ( 24 , 157464 ) ( 32 , 118098 ) ( 36 , 104976 ) 314925 157458 118090 104967 314931 M 157470 M 118106 104985 78744 M 52470 52506 M 59065 6 M 78720 59033 3 2 M 9 24 P 1 18 ( 48 , 78732 ) 39342 39390 M 6 ( 72 , 52488 ) 26208 26280 M 72 ( 54 , 69984 ) ( 96 , 39366 ) ( 108 , 34992 ) ( 144 , 26244 ) 34965 19635 17442 13050 35019 19731 17550 13194 M M M M 27 3 54 18 727 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15658 1944 ( 162 , 23328 ) 11583 15660 1944 ( 288 , 13122 ) 6417 15659 15661 15662 15663 15664 15665 15666 15667 15668 1944 1944 1944 1944 1944 1944 1944 1944 1944 ( 216 , 17496 ) ( 324 , 11664 ) 11745 8640 8856 M 5670 5994 M 6705 M 81 216 M 9 162 ( 432 , 8748 ) 4158 4590 M 54 ( 648 , 5832 ) 2592 3240 M 648 ( 486 , 7776 ) ( 864 , 4374 ) ( 972 , 3888 ) ( 1296 , 2916 ) ( 1458 , 2592 ) 3645 1755 1458 810 567 4131 M 2619 243 M 2430 27 M 2106 486 M 2025 162 M 2 25 81 27 _____________________________________________________________________________ 15669 1945 ( 1 , 3783025 ) 15671 1945 ( 25 , 151321 ) 15670 15672 1945 1945 1891512 ( 5 , 756605 ) 378300 ( 389 , 9725 ) 4668 75648 1891513 378305 75673 5057 M P P M 2 1 2 5 1 389 4 _____________________________________________________________________________ 15673 1946 ( 2 , 1893458 ) 15675 1946 ( 98 , 38642 ) 15674 15676 1946 1946 ( 14 , 270494 ) ( 278 , 13622 ) 946728 135240 19272 6672 946730 135254 19370 6950 M M 2 M M 0 2 4 14 278 4 _____________________________________________________________________________ 15677 15678 1947 1947 ( 1 , 3790809 ) ( 3 , 1263603 ) 1895404 631800 1895405 631803 M P 3 1 728 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15679 1947 ( 9 , 421201 ) 210596 210605 15681 1947 ( 33 , 114873 ) 57420 57453 15680 15682 15683 15684 15685 15686 15687 15688 15689 1947 1947 1947 1947 1947 1947 1947 1947 1947 ( 11 , 344619 ) ( 59 , 64251 ) ( 99 , 38291 ) ( 121 , 31329 ) ( 177 , 21417 ) ( 363 , 10443 ) ( 531 , 7139 ) ( 649 , 5841 ) ( 1089 , 3481 ) 172304 32096 19096 15604 10620 5040 3304 2596 1196 P 172315 M 32155 3245 2285 59 11 P 10797 M 1 M 177 3 M 59 M P 11 33 M 15725 3835 M M 19195 5403 1 649 4 9 1 13 _____________________________________________________________________________ 15690 1948 ( 2 , 1897352 ) 15692 1948 ( 8 , 474338 ) 15691 15693 1948 1948 948675 ( 4 , 948676 ) 474336 ( 974 , 3896 ) 1461 237165 948677 P 474340 237173 2435 M 1 M 4 P 2 2 1 487 4 _____________________________________________________________________________ 15694 1949 ( 1 , 3798601 ) 1899300 1899301 P 1 0 1 1 _____________________________________________________________________________ 15695 1950 ( 2 , 1901250 ) 15697 1950 ( 10 , 380250 ) 15696 15698 15699 1950 1950 1950 ( 6 , 633750 ) ( 18 , 211250 ) ( 26 , 146250 ) 950624 316872 190120 105616 73112 950626 316878 190130 105634 73138 M M M M M 2 6 10 2 26 729 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15700 1950 ( 30 , 126750 ) 15702 1950 ( 78 , 48750 ) 15701 15703 15704 15705 15706 15707 15708 15709 15710 15711 15712 15713 15714 15715 15716 1950 1950 1950 1950 1950 1950 1950 1950 1950 1950 1950 1950 1950 1950 1950 63360 63390 M 30 ( 50 , 76050 ) 38000 38050 M 50 ( 90 , 42250 ) 21080 21170 M 10 ( 130 , 29250 ) ( 150 , 25350 ) ( 234 , 16250 ) ( 250 , 15210 ) ( 338 , 11250 ) 24336 14560 12600 24414 M 14690 M 12750 8008 8242 M 5456 5794 M 7480 78 7730 130 M 26 M 10 2 ( 390 , 9750 ) 4680 5070 M 390 ( 650 , 5850 ) 2600 3250 M 650 ( 450 , 8450 ) ( 750 , 5070 ) ( 1014 , 3750 ) ( 1170 , 3250 ) ( 1250 , 3042 ) ( 1690 , 2250 ) 4000 2160 1368 1040 896 280 4450 M 2910 2382 2210 2146 1970 50 M 30 M 6 M 130 M M 150 2 0 22 10 22 _____________________________________________________________________________ 15717 1951 ( 1 , 3806401 ) 1903200 1903201 P 1 0 1 1 _____________________________________________________________________________ 15718 1952 ( 2 , 1905152 ) 15720 1952 ( 8 , 476288 ) 15719 15721 15722 1952 1952 1952 ( 4 , 952576 ) ( 16 , 238144 ) ( 32 , 119072 ) 952575 476286 238140 119064 59520 952577 476290 238148 119080 59552 P M M M M 1 2 4 8 32 730 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15723 1952 ( 64 , 59536 ) 15725 1952 ( 128 , 29768 ) 15724 15726 15727 15728 15729 15730 1952 1952 1952 1952 1952 1952 ( 122 , 31232 ) ( 244 , 15616 ) ( 256 , 14884 ) 29736 15555 14820 7686 7314 29800 M 15677 M 14948 7930 7570 M 3660 4148 M ( 976 , 3904 ) 1464 2440 M 3465 3977 M 61 4 122 M ( 488 , 7808 ) ( 512 , 7442 ) 8 2 244 P 1 2 11 488 13 _____________________________________________________________________________ 15731 1953 ( 1 , 3814209 ) 15733 1953 ( 7 , 544887 ) 272440 272447 ( 21 , 181629 ) 90804 90825 M 21 61535 M 31 15732 15734 15735 15736 15737 15738 15739 15740 15741 15742 15743 15744 15745 15746 15747 1953 1953 1953 1953 1953 1953 1953 1953 1953 1953 1953 1953 1953 1953 1953 ( 3 , 1271403 ) ( 9 , 423801 ) ( 27 , 141267 ) ( 31 , 123039 ) 1907104 635700 211896 70620 61504 1907105 635703 M P 3 M 211905 7 M 70647 9 M 3 ( 49 , 77841 ) 38896 38945 P 1 ( 81 , 47089 ) 23504 23585 P 1 ( 63 , 60543 ) ( 93 , 41013 ) ( 147 , 25947 ) ( 189 , 20181 ) ( 217 , 17577 ) ( 279 , 13671 ) ( 441 , 8649 ) ( 567 , 6727 ) 30240 20460 12900 30303 20553 10185 6696 6975 4104 3080 8897 4545 3647 63 M 13047 9996 8680 M 93 M M M M M M 3 21 217 279 9 7 1 731 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15748 1953 ( 651 , 5859 ) 2604 3255 M 15750 1953 ( 961 , 3969 ) 1504 2465 P 15749 15751 15752 1953 1953 1953 ( 837 , 4557 ) ( 1323 , 2883 ) ( 1519 , 2511 ) 1860 780 496 2697 651 M 2103 93 1 M 2015 3 M 4 18 31 22 _____________________________________________________________________________ 15753 1954 ( 2 , 1909058 ) 954528 954530 M 0 1 2 1 _____________________________________________________________________________ 15754 1955 ( 1 , 3822025 ) 15756 1955 ( 17 , 224825 ) 15755 15757 15758 15759 15760 15761 15762 15763 15764 15765 15766 1955 1955 1955 1955 1955 1955 1955 1955 1955 1955 1955 1911012 1911013 ( 5 , 764405 ) 382200 382205 ( 23 , 166175 ) 83076 83099 ( 25 , 152881 ) 112404 76428 112421 22440 22525 ( 289 , 13225 ) 6468 6757 ( 115 , 33235 ) 16560 M 76453 ( 85 , 44965 ) 16675 P 5083 M ( 529 , 7225 ) 3348 3877 P ( 575 , 6647 ) ( 1445 , 2645 ) 3036 600 4709 3611 2045 M 23 1 85 M 1 115 391 M 17 1 M M 1 17 M 4692 4284 5 P ( 391 , 9775 ) ( 425 , 8993 ) M P 23 4 9 5 13 _____________________________________________________________________________ 15767 15768 1956 1956 ( 2 , 1912968 ) ( 4 , 956484 ) 956483 478240 956485 478244 P M 1 4 732 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15769 1956 ( 6 , 637656 ) 15771 1956 ( 12 , 318828 ) 15770 15772 15773 15774 15775 15776 15777 15778 15779 1956 1956 1956 1956 1956 1956 1956 1956 1956 ( 8 , 478242 ) ( 18 , 212552 ) ( 24 , 159414 ) ( 36 , 106276 ) 318825 239117 159408 106267 79695 53120 318831 M 239125 3 P 159420 1 M 106285 79719 M 53156 P 3 M ( 72 , 53138 ) 26533 ( 652 , 5868 ) 2608 3260 M 652 ( 1304 , 2934 ) 815 2119 M 163 ( 326 , 11736 ) ( 978 , 3912 ) 5705 1467 26605 6031 2445 P 1 M 12 1 4 163 M 489 4 9 13 _____________________________________________________________________________ 15780 1957 ( 1 , 3829849 ) 15782 1957 ( 103 , 37183 ) 15781 15783 1957 1957 1914924 ( 19 , 201571 ) 100776 ( 361 , 10609 ) 5124 18540 1914925 100795 18643 5485 P M M 2 P 2 1 19 1 103 4 _____________________________________________________________________________ 15784 1958 ( 2 , 1916882 ) 15786 1958 ( 178 , 21538 ) 15785 15787 1958 1958 958440 ( 22 , 174262 ) 87120 ( 242 , 15842 ) 7800 10680 958442 87142 10858 8042 M M M 2 22 M 0 4 2 178 4 _____________________________________________________________________________ 15788 15789 1959 1959 ( 1 , 3837681 ) ( 3 , 1279227 ) 1918840 639612 1918841 639615 M P 3 1 733 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15790 15791 1959 1959 ( 9 , 426409 ) ( 653 , 5877 ) 213200 2612 213209 3265 M P 2 2 653 1 4 _____________________________________________________________________________ 15792 1960 ( 2 , 1920800 ) 15794 1960 ( 8 , 480200 ) 15793 15795 15796 15797 15798 15799 15800 15801 15802 15803 15804 15805 15806 15807 15808 15809 15810 15811 15812 15813 15814 1960 1960 1960 1960 1960 1960 1960 1960 1960 1960 1960 1960 1960 1960 1960 1960 1960 1960 1960 1960 1960 ( 4 , 960400 ) ( 10 , 384160 ) ( 14 , 274400 ) ( 16 , 240100 ) ( 20 , 192080 ) ( 28 , 137200 ) ( 32 , 120050 ) 960399 480198 240096 192075 137193 120042 960401 P 480202 M 240104 192085 137207 120058 M 60009 60041 P 68614 48040 M ( 56 , 68600 ) 34272 34328 M ( 70 , 54880 ) ( 80 , 48020 ) ( 98 , 39200 ) ( 100 , 38416 ) ( 112 , 34300 ) ( 140 , 27440 ) ( 160 , 24010 ) ( 196 , 19600 ) ( 200 , 19208 ) ( 224 , 17150 ) ( 280 , 13720 ) 27405 23970 19551 19158 17094 13650 11925 27475 24050 19649 19258 P 1 40 1 56 35 10 49 2 M 14 M M 8463 8687 M 7000 14 M 9898 6720 10 M 13790 9704 2 M 9702 9504 M M 17206 12085 7 M 48000 38441 5 M 96050 38391 8 M ( 40 , 96040 ) ( 50 , 76832 ) 2 M 96030 68586 1 M M M 70 98 5 8 7 280 734 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15815 1960 ( 350 , 10976 ) 15817 1960 ( 400 , 9604 ) 15816 15818 15819 15820 15821 15822 15823 15824 15825 15826 15827 15828 1960 1960 1960 1960 1960 1960 1960 1960 1960 1960 1960 1960 5313 5663 M 7 ( 392 , 9800 ) 4704 5096 M 392 ( 490 , 7840 ) 3675 4165 M 245 ( 560 , 6860 ) ( 686 , 5600 ) ( 700 , 5488 ) ( 784 , 4900 ) ( 800 , 4802 ) ( 980 , 3920 ) ( 1120 , 3430 ) ( 1372 , 2800 ) ( 1400 , 2744 ) ( 1568 , 2450 ) 4602 3150 2457 2394 2058 2001 1470 1155 5002 M 3710 2 M 3143 70 M 3094 7 M 2842 14 M 2801 98 P 2450 2275 1 M 490 M 35 714 2086 M 14 441 2009 M 49 672 2072 M 56 4 33 37 _____________________________________________________________________________ 15829 1961 ( 1 , 3845521 ) 15831 1961 ( 53 , 72557 ) 15830 15832 1961 1961 ( 37 , 103933 ) ( 1369 , 2809 ) 1922760 51948 36252 720 1922761 51985 36305 2089 P P M M 2 2 37 1 1 53 4 _____________________________________________________________________________ 15833 1962 ( 2 , 1924722 ) 15835 1962 ( 18 , 213858 ) 15834 15836 15837 1962 1962 1962 962360 ( 6 , 641574 ) 320784 ( 54 , 71286 ) 35616 ( 162 , 23762 ) 106920 11800 962362 M 320790 106938 35670 11962 2 M M M M 6 6 18 2 735 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15838 15839 1962 1962 ( 218 , 17658 ) ( 654 , 5886 ) 8720 2616 8938 3270 M M 218 0 7 654 7 _____________________________________________________________________________ 15840 1963 ( 1 , 3853369 ) 15842 1963 ( 151 , 25519 ) 15841 15843 1963 1963 1926684 ( 13 , 296413 ) 148200 ( 169 , 22801 ) 11316 12684 1926685 148213 12835 M 11485 M P 2 P 1 13 151 1 2 4 _____________________________________________________________________________ 15844 1964 ( 2 , 1928648 ) 15846 1964 ( 8 , 482162 ) 15845 15847 1964 1964 964323 ( 4 , 964324 ) 482160 ( 982 , 3928 ) 1473 241077 964325 P 482164 241085 2455 1 M 4 P M 2 2 491 1 4 _____________________________________________________________________________ 15848 1965 ( 1 , 3861225 ) 15850 1965 ( 5 , 772245 ) 15849 15851 15852 15853 15854 15855 15856 15857 15858 1965 1965 1965 1965 1965 1965 1965 1965 1965 ( 3 , 1287075 ) ( 9 , 429025 ) ( 15 , 257415 ) ( 25 , 154449 ) ( 45 , 85805 ) ( 75 , 51483 ) ( 131 , 29475 ) ( 225 , 17161 ) ( 393 , 9825 ) 1930612 643536 386120 214508 128700 77212 42880 25704 14672 8468 4716 1930613 643539 M 386125 77237 P 42925 5109 1 M 1 M 25779 P M 15 5 M M 1 5 P 128715 8693 3 M 214517 14803 P 3 1 393 131 736 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15859 15860 1965 1965 ( 655 , 5895 ) ( 1179 , 3275 ) 2620 1048 3275 2227 M 655 M 4 9 131 13 _____________________________________________________________________________ 15861 1966 ( 2 , 1932578 ) 966288 966290 M 0 1 2 1 _____________________________________________________________________________ 15862 1967 ( 1 , 3869089 ) 15864 1967 ( 49 , 78961 ) 15863 15865 1967 1967 ( 7 , 552727 ) ( 281 , 13769 ) 1934544 276360 39456 6744 1934545 276367 39505 7025 P M M 2 P 7 1 2 1 281 4 _____________________________________________________________________________ 15866 1968 ( 2 , 1936512 ) 15868 1968 ( 6 , 645504 ) 15867 15869 15870 15871 15872 15873 15874 15875 15876 15877 15878 15879 1968 1968 1968 1968 1968 1968 1968 1968 1968 1968 1968 1968 968255 968257 P 1 ( 4 , 968256 ) 484126 484130 M 2 ( 8 , 484128 ) 242060 242068 M 4 ( 12 , 322752 ) ( 16 , 242064 ) ( 18 , 215168 ) ( 24 , 161376 ) ( 32 , 121032 ) ( 36 , 107584 ) 322749 161370 121024 107575 322755 M 161382 M 121040 107593 80700 M 53774 53810 M 60532 6 M 80676 60500 3 16 P 1 12 M 4 2 ( 48 , 80688 ) 40320 40368 M 48 ( 72 , 53792 ) 26860 26932 M 4 ( 64 , 60516 ) ( 82 , 47232 ) 30226 23575 30290 23657 M M 2 41 737 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15880 1968 ( 96 , 40344 ) 15882 1968 ( 144 , 26896 ) 15881 15883 15884 15885 15886 15887 15888 15889 15890 15891 15892 15893 15894 15895 15896 1968 1968 1968 1968 1968 1968 1968 1968 1968 1968 1968 1968 1968 1968 1968 ( 128 , 30258 ) ( 164 , 23616 ) ( 192 , 20172 ) ( 246 , 15744 ) ( 288 , 13448 ) ( 328 , 11808 ) ( 384 , 10086 ) 20124 15065 13376 11726 20220 15193 6580 6868 5740 4851 1 M 11890 10182 12 P 13520 9990 7749 M 16 M M 6 7995 M 123 6068 M 164 5235 M 4 M 3 ( 492 , 7872 ) 3690 4182 M 246 ( 656 , 5904 ) 2624 3280 M 656 ( 576 , 6724 ) ( 738 , 5248 ) ( 984 , 3936 ) ( 1152 , 3362 ) ( 1312 , 2952 ) ( 1476 , 2624 ) 3074 2255 1476 1105 820 574 82 3650 M 2993 2 M 2460 2257 2132 2050 41 M 492 P 1 M M 164 4 27 82 31 _____________________________________________________________________________ 15897 1969 ( 1 , 3876961 ) 15899 1969 ( 121 , 32041 ) 15898 15900 1969 1969 1938480 ( 11 , 352451 ) 176220 ( 179 , 21659 ) 10740 15960 1938481 176231 16081 10919 P M M 2 P 1 1 2 11 179 4 _____________________________________________________________________________ 15901 15902 1970 1970 ( 2 , 1940450 ) ( 10 , 388090 ) 970224 194040 970226 194050 M M 2 10 738 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15903 15904 1970 1970 ( 50 , 77618 ) ( 394 , 9850 ) 38784 4728 38834 5122 M M 2 0 4 394 4 _____________________________________________________________________________ 15905 1971 ( 1 , 3884841 ) 15907 1971 ( 9 , 431649 ) 215820 ( 73 , 53217 ) 26572 26645 ( 219 , 17739 ) 8760 8979 15906 15908 15909 15910 15911 15912 15913 15914 1971 1971 1971 1971 1971 1971 1971 1971 ( 3 , 1294947 ) ( 27 , 143883 ) ( 81 , 47961 ) ( 243 , 15987 ) ( 657 , 5913 ) ( 729 , 5329 ) 1942420 647472 71928 23940 7872 2628 2300 1942421 647475 M 215829 3029 27 M 73 M 9 M 219 M 3 M P 1 9 M 24021 3285 3 M 71955 8115 P 657 2 8 1 10 _____________________________________________________________________________ 15915 1972 ( 2 , 1944392 ) 15917 1972 ( 8 , 486098 ) 15916 15918 15919 15920 15921 15922 15923 15924 15925 1972 1972 1972 1972 1972 1972 1972 1972 1972 972195 972197 ( 4 , 972196 ) 486096 486100 ( 34 , 114376 ) 57171 57205 ( 58 , 67048 ) ( 68 , 57188 ) ( 116 , 33524 ) ( 136 , 28594 ) ( 232 , 16762 ) ( 578 , 6728 ) ( 986 , 3944 ) 243045 33495 28560 16704 14229 8265 3075 1479 P M 243053 2465 17 M 29 M 16820 3653 1 M 28628 8497 4 P 33553 14365 1 68 M M P M 116 M 1 29 493 17 739 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15926 15927 1972 1972 ( 1156 , 3364 ) ( 1682 , 2312 ) 1104 315 2260 1997 M P 4 9 1 4 13 _____________________________________________________________________________ 15928 1973 ( 1 , 3892729 ) 1946364 1946365 P 1 0 1 1 _____________________________________________________________________________ 15929 1974 ( 2 , 1948338 ) 15931 1974 ( 14 , 278334 ) 15930 15932 15933 15934 15935 15936 15937 15938 15939 15940 15941 1974 1974 1974 1974 1974 1974 1974 1974 1974 1974 1974 ( 6 , 649446 ) ( 18 , 216482 ) 974168 324720 139160 108232 974170 M 324726 M 139174 108250 46368 46410 M ( 98 , 39762 ) 19832 19930 M ( 126 , 30926 ) ( 282 , 13818 ) ( 294 , 13254 ) 20680 15400 6768 6480 20774 15526 7050 6774 6 M ( 42 , 92778 ) ( 94 , 41454 ) 2 14 M 42 M M 94 2 M M 6 2632 3290 M 658 ( 882 , 4418 ) 1768 2650 M 2 1880 2726 14 282 ( 658 , 5922 ) ( 846 , 4606 ) 2 M 94 0 13 13 _____________________________________________________________________________ 15942 1975 ( 1 , 3900625 ) 15944 1975 ( 25 , 156025 ) 15943 15945 15946 1975 1975 1975 1950312 ( 5 , 780125 ) 390060 ( 79 , 49375 ) 24648 ( 125 , 31205 ) 78000 15540 1950313 390065 78025 24727 15665 M M M M P 5 25 79 5 1 740 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15947 15948 1975 1975 ( 395 , 9875 ) ( 625 , 6241 ) 4740 2808 5135 3433 M P 395 2 5 1 7 _____________________________________________________________________________ 15949 1976 ( 2 , 1952288 ) 15951 1976 ( 8 , 488072 ) 15950 15952 15953 15954 15955 15956 15957 15958 15959 15960 15961 15962 15963 15964 15965 15966 15967 15968 15969 15970 1976 1976 1976 1976 1976 1976 1976 1976 1976 1976 1976 1976 1976 1976 1976 1976 1976 1976 1976 1976 ( 4 , 976144 ) ( 16 , 244036 ) ( 26 , 150176 ) ( 32 , 122018 ) ( 38 , 102752 ) ( 52 , 75088 ) ( 76 , 51376 ) ( 104 , 37544 ) ( 152 , 25688 ) ( 208 , 18772 ) ( 304 , 12844 ) ( 338 , 11552 ) 976143 488070 244032 122010 976145 P 488074 M 244040 122026 75101 M 51357 51395 M 37518 25650 18720 12768 61025 25726 2 13 1 19 26 M 18824 38 M 9490 M 5607 5945 P 6574 M M 9282 6270 8 P 37570 12920 2 M 75075 60993 1 104 M 26 M 38 1 ( 416 , 9386 ) 4485 4901 M 13 ( 608 , 6422 ) 2907 3515 M 19 ( 494 , 7904 ) ( 676 , 5776 ) ( 722 , 5408 ) ( 988 , 3952 ) ( 1352 , 2888 ) ( 1444 , 2704 ) 3705 2550 2343 1482 768 630 4199 3226 3065 2470 2120 2074 M 247 M 2 P 1 M 494 M M 152 8 4 18 2 22 741 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 15971 1977 ( 1 , 3908529 ) 15973 1977 ( 9 , 434281 ) 15972 15974 1977 1977 ( 3 , 1302843 ) ( 659 , 5931 ) 1954264 651420 217136 2636 1954265 651423 217145 3295 M P P M 2 2 1 659 3 1 4 _____________________________________________________________________________ 15975 1978 ( 2 , 1956242 ) 15977 1978 ( 86 , 45494 ) 15976 15978 1978 1978 978120 978122 ( 46 , 85054 ) 42504 42550 ( 1058 , 3698 ) 1320 2378 22704 22790 M M 46 M M 0 2 4 2 86 4 _____________________________________________________________________________ 15979 1979 ( 1 , 3916441 ) 1958220 1958221 P 1 0 1 1 _____________________________________________________________________________ 15980 1980 ( 2 , 1960200 ) 15982 1980 ( 6 , 653400 ) 15981 15983 15984 15985 15986 15987 15988 15989 15990 1980 1980 1980 1980 1980 1980 1980 1980 1980 980099 980101 P ( 4 , 980100 ) 490048 490052 M ( 8 , 490050 ) 245021 245029 P ( 10 , 392040 ) ( 12 , 326700 ) ( 18 , 217800 ) ( 20 , 196020 ) ( 22 , 178200 ) ( 24 , 163350 ) ( 30 , 130680 ) 326697 196015 163344 108891 326703 196025 M M 163356 108909 98020 M 81663 81687 M 65325 89111 65355 4 3 1 M 98000 89089 1 M M M 5 12 9 20 11 3 15 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 15991 1980 ( 36 , 108900 ) 15993 1980 ( 44 , 89100 ) 15992 15994 15995 15996 15997 15998 15999 16000 16001 16002 16003 16004 16005 16006 16007 16008 16009 16010 16011 16012 16013 16014 16015 16016 16017 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 54432 54468 742 M ( 40 , 98010 ) 48985 49025 M ( 50 , 78408 ) 39179 39229 P ( 54 , 72600 ) ( 60 , 65340 ) ( 66 , 59400 ) ( 72 , 54450 ) ( 88 , 44550 ) ( 90 , 43560 ) ( 100 , 39204 ) ( 108 , 36300 ) ( 110 , 35640 ) ( 120 , 32670 ) ( 132 , 29700 ) ( 150 , 26136 ) ( 162 , 24200 ) ( 180 , 21780 ) ( 198 , 19800 ) ( 200 , 19602 ) ( 216 , 18150 ) ( 220 , 17820 ) ( 242 , 16200 ) ( 264 , 14850 ) ( 270 , 14520 ) ( 300 , 13068 ) ( 324 , 12100 ) 44528 36273 32640 29667 27189 22231 21735 19552 18096 17765 16275 14784 12993 12019 10800 44572 36327 32700 29733 27261 22319 21825 19652 M 5888 6684 6212 15 132 M 3 P M 6384 55 M 12181 7395 12 M 9183 7125 4 M 13143 7557 45 M 8967 7293 11 M 14916 8221 9 M M 7979 33 M 16395 9020 60 M 9999 8800 3 M 17875 9901 1 M 9801 9701 44 M 18204 10980 5 P M P M M M M M 36 1 99 180 1 3 220 1 33 15 12 4 743 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16018 1980 ( 330 , 11880 ) 16020 1980 ( 396 , 9900 ) 4752 5148 M 396 ( 450 , 8712 ) 4131 4581 M 9 16019 16021 16022 16023 16024 16025 16026 16027 16028 16029 16030 16031 16032 16033 16034 16035 16036 16037 16038 16039 16040 16041 16042 16043 16044 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 1980 ( 360 , 10890 ) ( 440 , 8910 ) ( 484 , 8100 ) ( 540 , 7260 ) ( 550 , 7128 ) ( 594 , 6600 ) ( 600 , 6534 ) ( 648 , 6050 ) ( 660 , 5940 ) ( 726 , 5400 ) ( 792 , 4950 ) ( 810 , 4840 ) ( 900 , 4356 ) ( 968 , 4050 ) ( 990 , 3960 ) ( 1080 , 3630 ) ( 1100 , 3564 ) ( 1188 , 3300 ) ( 1210 , 3240 ) ( 1320 , 2970 ) ( 1350 , 2904 ) ( 1452 , 2700 ) ( 1620 , 2420 ) ( 1650 , 2376 ) 5775 5265 4235 3808 3360 3289 3003 2967 2701 2640 2337 2079 2015 1728 1541 1485 1275 1232 1056 1015 6105 5625 4675 4292 3900 3839 3597 3567 3349 3300 3063 2871 2825 2628 2509 2475 2355 2332 2244 2225 M M M M M M M M P M M M M M P M M M M M 165 45 55 4 60 11 33 3 1 660 3 99 5 36 1 495 15 44 132 5 825 2145 M 165 624 2076 M 12 777 400 363 2127 2020 2013 M M M 3 20 33 744 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16045 16046 1980 1980 ( 1782 , 2200 ) ( 1800 , 2178 ) 209 189 1991 M 1989 M 11 8 59 9 67 _____________________________________________________________________________ 16047 1981 ( 1 , 3924361 ) 16049 1981 ( 49 , 80089 ) 16048 16050 1981 1981 ( 7 , 560623 ) ( 283 , 13867 ) 1962180 280308 40020 6792 1962181 280315 40069 P 7075 M M 2 P 7 1 2 1 283 4 _____________________________________________________________________________ 16051 1982 ( 2 , 1964162 ) 982080 982082 M 0 1 2 1 _____________________________________________________________________________ 16052 1983 ( 1 , 3932289 ) 16054 1983 ( 9 , 436921 ) 16053 16055 1983 1983 ( 3 , 1310763 ) ( 661 , 5949 ) 1966144 655380 218456 2644 1966145 655383 218465 3305 M M P P 2 2 661 1 3 4 1 _____________________________________________________________________________ 16056 1984 ( 2 , 1968128 ) 16058 1984 ( 8 , 492032 ) 16057 16059 16060 16061 16062 16063 1984 1984 1984 1984 1984 1984 ( 4 , 984064 ) ( 16 , 246016 ) ( 32 , 123008 ) ( 62 , 63488 ) ( 64 , 61504 ) ( 124 , 31744 ) 984063 492030 246012 123000 61488 31713 30720 15810 984065 P 492034 M 246020 123016 61520 31775 30784 15934 1 2 M M M M M M 4 8 16 31 64 62 745 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16064 1984 ( 128 , 30752 ) 15312 16066 1984 ( 256 , 15376 ) 7560 16065 16067 16068 16069 16070 16071 1984 1984 1984 1984 1984 1984 ( 248 , 15872 ) 15440 7812 8060 M 7816 M 16 124 M 8 ( 496 , 7936 ) 3720 4216 M 248 ( 992 , 3968 ) 1488 2480 M 496 ( 512 , 7688 ) ( 1024 , 3844 ) ( 1922 , 2048 ) 3588 1410 63 4100 M 2434 1985 P 4 M 1 2 2 14 16 _____________________________________________________________________________ 16072 1985 ( 1 , 3940225 ) 16074 1985 ( 25 , 157609 ) 16073 16075 1985 1985 1970112 ( 5 , 788045 ) 394020 ( 397 , 9925 ) 4764 78792 1970113 394025 78817 5161 M M P P 2 1 2 5 1 397 4 _____________________________________________________________________________ 16076 1986 ( 2 , 1972098 ) 16078 1986 ( 18 , 219122 ) 16077 16079 1986 1986 986048 ( 6 , 657366 ) 328680 ( 662 , 5958 ) 2648 109552 986050 M 328686 M 109570 3310 M 2 6 M 0 4 662 2 4 _____________________________________________________________________________ 16080 1987 ( 1 , 3948169 ) 1974084 1974085 P 1 0 1 1 _____________________________________________________________________________ 16081 16082 1988 1988 ( 2 , 1976072 ) ( 4 , 988036 ) 988035 494016 988037 494020 P M 1 4 746 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16083 1988 ( 8 , 494018 ) 247005 247013 16085 1988 ( 28 , 141148 ) 70560 70588 16084 16086 16087 16088 16089 16090 16091 16092 16093 1988 1988 1988 1988 1988 1988 1988 1988 1988 ( 14 , 282296 ) ( 56 , 70574 ) ( 98 , 40328 ) ( 142 , 27832 ) ( 196 , 20164 ) ( 284 , 13916 ) ( 392 , 10082 ) ( 568 , 6958 ) ( 994 , 3976 ) 141141 35259 20115 13845 141155 5237 1491 2485 7 1 M M 7100 3763 M P 13987 4845 1 M 20213 10180 3195 M 35315 9984 6816 P 4 M 28 71 284 P 1 M M 7 71 4 9 497 13 _____________________________________________________________________________ 16094 1989 ( 1 , 3956121 ) 16096 1989 ( 9 , 439569 ) 16095 16097 16098 16099 16100 16101 16102 16103 16104 16105 16106 16107 1989 1989 1989 1989 1989 1989 1989 1989 1989 1989 1989 1989 ( 3 , 1318707 ) ( 13 , 304317 ) ( 17 , 232713 ) ( 27 , 146523 ) ( 39 , 101439 ) ( 51 , 77571 ) ( 81 , 48841 ) ( 117 , 33813 ) ( 153 , 25857 ) ( 169 , 23409 ) ( 221 , 17901 ) ( 289 , 13689 ) 1978060 659352 219780 152152 116348 73248 50700 38760 24380 16848 12852 11620 8840 6700 1978061 659355 M 219789 73275 24461 16965 M 11789 9061 6989 13 M 3 M 51 P 1 M M M P P 17 39 M 13005 1 9 M 116365 38811 3 M 152165 50739 P 117 153 1 221 1 747 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16108 1989 ( 351 , 11271 ) 16110 1989 ( 507 , 7803 ) 16109 16111 16112 16113 16114 16115 1989 1989 1989 1989 1989 1989 5460 5811 M 39 ( 459 , 8619 ) 4080 4539 M 51 ( 663 , 5967 ) 2652 3315 M 663 ( 867 , 4563 ) ( 1053 , 3757 ) ( 1377 , 2873 ) ( 1521 , 2601 ) 3648 1848 1352 748 540 4155 M 2715 2405 2125 2061 3 M 3 M 13 M M 17 4 18 9 22 _____________________________________________________________________________ 16116 1990 ( 2 , 1980050 ) 16118 1990 ( 50 , 79202 ) 16117 16119 1990 1990 ( 10 , 396010 ) ( 398 , 9950 ) 990024 198000 39576 4776 990026 198010 39626 5174 M M 2 M M 0 10 2 4 398 4 _____________________________________________________________________________ 16120 1991 ( 1 , 3964081 ) 16122 1991 ( 121 , 32761 ) 16121 16123 1991 1991 1982040 ( 11 , 360371 ) 180180 ( 181 , 21901 ) 10860 16320 1982041 180191 16441 11041 P M M 2 P 1 1 2 11 181 4 _____________________________________________________________________________ 16124 1992 ( 2 , 1984032 ) 16126 1992 ( 6 , 661344 ) 16125 16127 16128 1992 1992 1992 992015 992017 P 1 ( 4 , 992016 ) 496006 496010 M 2 ( 8 , 496008 ) 248000 248008 M 8 ( 12 , 330672 ) 330669 165330 330675 165342 M M 3 6 748 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16129 1992 ( 16 , 248004 ) 123994 16131 1992 ( 24 , 165336 ) 82656 82680 M 55094 55130 M 16130 16132 16133 16134 16135 16136 16137 16138 16139 16140 16141 16142 16143 16144 16145 1992 1992 1992 1992 1992 1992 1992 1992 1992 1992 1992 1992 1992 1992 1992 ( 18 , 220448 ) ( 32 , 124002 ) ( 36 , 110224 ) 110215 61985 124010 M 110233 62017 2 P 1 24 P 1 ( 48 , 82668 ) 41310 41358 M 6 ( 96 , 41334 ) 20619 20715 M 3 ( 72 , 55112 ) ( 144 , 27556 ) ( 166 , 23904 ) ( 288 , 13778 ) ( 332 , 11952 ) 27520 13706 11869 6745 5810 27592 M 13850 7033 6142 8 M 12035 P M 1 M 166 3735 4233 M 249 ( 996 , 3984 ) 1494 2490 M 498 ( 1328 , 2988 ) ( 1494 , 2656 ) 2656 830 581 3320 2158 2075 M 664 M M 2 83 ( 498 , 7968 ) ( 664 , 5976 ) 2 166 4 18 83 22 _____________________________________________________________________________ 16146 1993 ( 1 , 3972049 ) 1986024 1986025 P 1 0 1 1 _____________________________________________________________________________ 16147 1994 ( 2 , 1988018 ) 994008 994010 0 M 1 1 2 _____________________________________________________________________________ 16148 16149 1995 1995 ( 1 , 3980025 ) ( 3 , 1326675 ) 1990012 663336 1990013 663339 M P 3 1 749 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16150 1995 ( 5 , 796005 ) 398000 398005 M 16152 1995 ( 9 , 442225 ) 221108 221117 P 16151 16153 16154 16155 16156 16157 16158 16159 16160 16161 16162 16163 16164 16165 16166 16167 16168 16169 16170 16171 16172 16173 16174 16175 16176 1995 1995 1995 1995 1995 1995 1995 1995 1995 1995 1995 1995 1995 1995 1995 1995 1995 1995 1995 1995 1995 1995 1995 1995 1995 ( 7 , 568575 ) ( 15 , 265335 ) ( 19 , 209475 ) ( 21 , 189525 ) ( 25 , 159201 ) ( 35 , 113715 ) 284284 132660 104728 284291 M 132675 104747 94773 M 56840 56875 M 79613 M ( 57 , 69825 ) 34884 34941 M ( 63 , 63175 ) ( 75 , 53067 ) ( 95 , 41895 ) ( 105 , 37905 ) ( 133 , 29925 ) ( 147 , 27075 ) ( 171 , 23275 ) ( 175 , 22743 ) ( 225 , 17689 ) ( 245 , 16245 ) ( 285 , 13965 ) ( 315 , 12635 ) ( 361 , 11025 ) 31556 26496 20900 18900 14896 13464 11552 11284 19005 13611 6840 7125 M 5693 M M P ( 399 , 9975 ) 4788 5187 M ( 475 , 8379 ) 3952 4427 M ( 441 , 9025 ) 4292 4733 133 3 M P 5332 105 M 11723 6475 95 M 8957 6160 3 M 15029 8245 7 M 8732 8000 57 M 20995 P M 35 1 M 26571 11459 21 P 31619 15 19 5 44245 40637 M 1 44200 40588 1 P ( 45 , 88445 ) ( 49 , 81225 ) 7 M 94752 79588 5 19 1 5 7 285 35 1 399 1 19 750 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16177 1995 ( 525 , 7581 ) 3528 4053 M 21 16179 1995 ( 735 , 5415 ) 2340 3075 M 15 16178 16180 16181 16182 16183 16184 16185 16186 16187 1995 1995 1995 1995 1995 1995 1995 1995 1995 ( 665 , 5985 ) ( 855 , 4655 ) ( 931 , 4275 ) ( 1083 , 3675 ) ( 1197 , 3325 ) ( 1225 , 3249 ) ( 1425 , 2793 ) ( 1575 , 2527 ) ( 1805 , 2205 ) 2660 1900 1672 1296 1064 1012 3325 M 2755 665 M 2603 2379 M 19 M 2261 2237 95 3 M 133 P 1 684 2109 M 57 200 2005 M 5 476 2051 M 7 8 32 40 _____________________________________________________________________________ 16188 1996 ( 2 , 1992008 ) 16190 1996 ( 8 , 498002 ) 16189 16191 1996 1996 996003 ( 4 , 996004 ) 498000 ( 998 , 3992 ) 1497 248997 996005 P 498004 249005 2495 1 M 4 P M 2 2 499 1 4 _____________________________________________________________________________ 16192 1997 ( 1 , 3988009 ) 1994004 1994005 P 1 0 1 1 _____________________________________________________________________________ 16193 1998 ( 2 , 1996002 ) 16195 1998 ( 18 , 221778 ) 16194 16196 16197 1998 1998 1998 998000 ( 6 , 665334 ) 332664 ( 54 , 73926 ) 36936 ( 74 , 53946 ) 110880 26936 998002 M 332670 110898 36990 27010 2 M M M M 6 54 74 18 751 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16198 1998 ( 162 , 24642 ) 16200 1998 ( 486 , 8214 ) 3864 4350 M 6 ( 1458 , 2738 ) 640 2098 M 2 16199 16201 16202 1998 1998 1998 ( 222 , 17982 ) ( 666 , 5994 ) 12240 8880 2664 12402 9102 3330 M M 18 222 M 666 0 10 10 _____________________________________________________________________________ 16203 1999 ( 1 , 3996001 ) 1998000 1998001 P 1 0 1 1 _____________________________________________________________________________ 16204 2000 ( 2 , 2000000 ) 16206 2000 ( 8 , 500000 ) 16205 16207 16208 16209 16210 16211 16212 16213 16214 16215 16216 16217 16218 16219 16220 2000 2000 2000 2000 2000 2000 2000 2000 2000 2000 2000 2000 2000 2000 2000 ( 4 , 1000000 ) ( 10 , 400000 ) ( 16 , 250000 ) ( 20 , 200000 ) ( 32 , 125000 ) ( 40 , 100000 ) 999999 499998 249996 199995 124992 1000001 500002 50020 4 M 125008 49980 2 M 200005 100010 1 M 250004 99990 62484 P 5 M 16 M 62516 10 M M 4 20 ( 50 , 80000 ) 39975 40025 M 25 ( 80 , 50000 ) 24960 25040 M 80 ( 64 , 62500 ) ( 100 , 40000 ) ( 128 , 31250 ) ( 160 , 25000 ) ( 200 , 20000 ) ( 250 , 16000 ) ( 320 , 12500 ) 31218 19950 15561 12420 31282 20050 M 15689 12580 9900 10100 6090 6410 7875 M 8125 P M M M M 2 50 1 20 100 125 10 752 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16221 2000 ( 400 , 10000 ) 16223 2000 ( 640 , 6250 ) 16222 16224 16225 16226 16227 2000 2000 2000 2000 2000 4800 5200 M 400 ( 500 , 8000 ) 3750 4250 M 250 ( 800 , 5000 ) 2100 2900 M 100 ( 1000 , 4000 ) ( 1250 , 3200 ) ( 1600 , 2500 ) 2805 1500 975 450 3445 M 2500 2225 2050 5 M 500 M M 25 2 22 50 24 _____________________________________________________________________________ 16228 2001 ( 1 , 4004001 ) 16230 2001 ( 9 , 444889 ) 222440 222449 ( 29 , 138069 ) 69020 69049 16229 16231 16232 16233 16234 16235 16236 16237 16238 16239 16240 2001 2001 2001 2001 2001 2001 2001 2001 2001 2001 2001 ( 3 , 1334667 ) ( 23 , 174087 ) 2002000 667332 87032 2002001 667335 28980 29049 ( 207 , 19343 ) 9568 9775 ( 261 , 15341 ) 22968 7540 P 87055 ( 69 , 58029 ) ( 87 , 46023 ) M 1 M 29 M 69 M 87 M 23 M ( 529 , 7569 ) 3520 4049 P 1 ( 841 , 4761 ) 1960 2801 P 1 ( 667 , 6003 ) ( 1587 , 2523 ) 2668 468 3335 M 2055 M 3 1 23 M 23055 7801 P 29 667 4 9 3 13 _____________________________________________________________________________ 16241 2002 ( 2 , 2004002 ) 16243 2002 ( 22 , 182182 ) 16242 2002 ( 14 , 286286 ) 1002000 143136 91080 1002002 143150 91102 M M M 14 22 2 753 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16244 2002 ( 26 , 154154 ) 16246 2002 ( 154 , 26026 ) 16245 16247 16248 16249 16250 16251 16252 16253 2002 2002 2002 2002 2002 2002 2002 2002 ( 98 , 40898 ) ( 182 , 22022 ) ( 242 , 16562 ) ( 286 , 14014 ) ( 338 , 11858 ) ( 1078 , 3718 ) ( 1274 , 3146 ) ( 1694 , 2366 ) 77064 20400 12936 10920 77090 20498 M M 13090 M 11102 8160 8402 M 5760 6098 M 6864 1320 936 336 7150 2398 2210 2030 2 M 286 2 M 22 M M 154 182 2 M 26 26 0 13 14 13 _____________________________________________________________________________ 16254 2003 ( 1 , 4012009 ) 2006004 2006005 P 1 0 1 1 _____________________________________________________________________________ 16255 2004 ( 2 , 2008008 ) 16257 2004 ( 6 , 669336 ) 16256 16258 16259 16260 16261 16262 16263 16264 16265 16266 2004 2004 2004 2004 2004 2004 2004 2004 2004 2004 ( 4 , 1004004 ) ( 8 , 502002 ) ( 12 , 334668 ) ( 18 , 223112 ) ( 24 , 167334 ) ( 36 , 111556 ) 1004003 502000 334665 250997 167328 111547 83655 55760 ( 72 , 55778 ) 27853 ( 668 , 6012 ) 2672 ( 334 , 12024 ) ( 1002 , 4008 ) 5845 1503 1004005 502004 M 334671 83679 M 55796 3340 2505 1 M 111565 M P M M M 1 3 P 167340 6179 4 M 251005 27925 P P 3 1 4 167 668 501 12 1 754 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16267 2004 ( 1336 , 3006 ) 835 2171 M 4 9 167 13 _____________________________________________________________________________ 16268 2005 ( 1 , 4020025 ) 16270 2005 ( 25 , 160801 ) 16269 16271 2005 2005 2010012 ( 5 , 804005 ) 402000 ( 401 , 10025 ) 4812 80388 2010013 402005 80413 5213 M M P P 2 1 2 5 1 401 4 _____________________________________________________________________________ 16272 2006 ( 2 , 2012018 ) 16274 2006 ( 118 , 34102 ) 16273 16275 2006 2006 ( 34 , 118354 ) ( 578 , 6962 ) 1006008 59160 16992 3192 1006010 59194 17110 3770 M M M M 0 4 34 2 2 118 4 _____________________________________________________________________________ 16276 2007 ( 1 , 4028049 ) 16278 2007 ( 9 , 447561 ) 223776 ( 81 , 49729 ) 24824 ( 669 , 6021 ) 2676 16277 16279 16280 16281 16282 2007 2007 2007 2007 2007 ( 3 , 1342683 ) ( 27 , 149187 ) ( 223 , 18063 ) 2014024 671340 74580 8920 2014025 671343 M 223785 3345 P 1 M M 1 9 M 24905 3 M 74607 9143 P 3 223 2 5 669 7 _____________________________________________________________________________ 16283 2008 ( 2 , 2016032 ) 16285 2008 ( 8 , 504008 ) 16284 2008 ( 4 , 1008016 ) 1008015 504006 252000 1008017 504010 252008 M M P 2 8 1 755 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16286 2008 ( 16 , 252004 ) 16288 2008 ( 502 , 8032 ) 16287 16289 2008 2008 ( 32 , 126002 ) ( 1004 , 4016 ) 125994 62985 3765 1506 126010 63017 4267 2510 P M M 2 1 251 M 2 502 5 7 _____________________________________________________________________________ 16290 2009 ( 1 , 4036081 ) 16292 2009 ( 41 , 98441 ) 49200 49241 ( 287 , 14063 ) 6888 7175 16291 16293 16294 16295 16296 2009 2009 2009 2009 2009 ( 7 , 576583 ) ( 49 , 82369 ) ( 343 , 11767 ) ( 1681 , 2401 ) 2018040 288288 41160 5712 360 2018041 288295 M 41209 6055 2041 M P 41 M 49 M 287 M P 7 1 2 5 1 7 7 _____________________________________________________________________________ 16297 2010 ( 2 , 2020050 ) 16299 2010 ( 10 , 404010 ) 16298 16300 16301 16302 16303 16304 16305 16306 16307 16308 2010 2010 2010 2010 2010 2010 2010 2010 2010 2010 ( 6 , 673350 ) ( 18 , 224450 ) ( 30 , 134670 ) ( 50 , 80802 ) ( 90 , 44890 ) ( 134 , 30150 ) ( 150 , 26934 ) ( 402 , 10050 ) ( 450 , 8978 ) ( 670 , 6030 ) 1010024 336672 202000 112216 67320 40376 22400 15008 13392 4824 4264 2680 1010026 336678 M 202010 67350 M 40426 3350 M 2 2 M 15142 4714 10 M 22490 5226 6 M 112234 13542 M 10 M M M M M 30 134 6 402 2 670 2 756 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16309 2010 ( 1206 , 3350 ) 1072 2278 M 0 13 134 13 _____________________________________________________________________________ 16310 2011 ( 1 , 4044121 ) 2022060 2022061 P 1 0 1 1 _____________________________________________________________________________ 16311 2012 ( 2 , 2024072 ) 16313 2012 ( 8 , 506018 ) 16312 16314 2012 2012 ( 4 , 1012036 ) ( 1006 , 4024 ) 1012035 506016 253005 1509 1012037 506020 253013 2515 M P P M 2 1 2 4 1 503 4 _____________________________________________________________________________ 16315 2013 ( 1 , 4052169 ) 16317 2013 ( 9 , 450241 ) 225116 225125 ( 33 , 122793 ) 61380 61413 16316 16318 16319 16320 16321 16322 16323 16324 16325 16326 16327 2013 2013 2013 2013 2013 2013 2013 2013 2013 2013 2013 ( 3 , 1350723 ) ( 11 , 368379 ) ( 61 , 66429 ) ( 99 , 40931 ) ( 121 , 33489 ) ( 183 , 22143 ) ( 363 , 11163 ) ( 549 , 7381 ) ( 671 , 6039 ) ( 1089 , 3721 ) 2026084 675360 184184 33184 20416 16684 10980 5400 3416 2684 1316 2026085 675363 M P 184195 M 33245 3965 3355 2405 M 11 1 M 183 3 M 61 M P 11 61 P M 3 1 33 M 16805 5763 1 M 20515 11163 P 671 4 9 1 13 _____________________________________________________________________________ 757 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16328 2014 ( 2 , 2028098 ) 16330 2014 ( 106 , 38266 ) 16329 16331 2014 2014 ( 38 , 106742 ) ( 722 , 5618 ) 1014048 53352 19080 2448 1014050 53390 19186 3170 M M M M 0 4 2 38 2 106 4 _____________________________________________________________________________ 16332 2015 ( 1 , 4060225 ) 16334 2015 ( 13 , 312325 ) 16333 16335 16336 16337 16338 16339 16340 16341 16342 16343 16344 2015 2015 2015 2015 2015 2015 2015 2015 2015 2015 2015 2030112 2030113 ( 5 , 812045 ) 406020 406025 ( 25 , 162409 ) 81192 81217 ( 31 , 130975 ) ( 65 , 62465 ) ( 155 , 26195 ) ( 169 , 24025 ) ( 325 , 12493 ) ( 403 , 10075 ) 156156 65472 31200 13020 11928 6084 4836 156169 P 65503 31265 12097 6409 M M ( 961 , 4225 ) 1632 2593 P 2825 31 65 155 P 1 13 M 3007 1 13 1 M 2232 1980 M M 13175 5239 5 M ( 775 , 5239 ) ( 845 , 4805 ) M P 403 31 M 5 4 9 1 13 _____________________________________________________________________________ 16345 2016 ( 2 , 2032128 ) 16347 2016 ( 6 , 677376 ) 16346 16348 16349 16350 2016 2016 2016 2016 ( 4 , 1016064 ) ( 8 , 508032 ) ( 12 , 338688 ) ( 14 , 290304 ) 1016063 508030 338685 254012 169338 145145 1016065 508034 338691 254020 169350 145159 M M M M M P 2 3 4 6 7 1 758 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16351 2016 ( 16 , 254016 ) 127000 16353 2016 ( 24 , 169344 ) 84660 84684 M 63488 63520 M 16352 16354 16355 16356 16357 16358 16359 16360 16361 16362 16363 16364 16365 16366 16367 16368 16369 16370 16371 16372 16373 16374 16375 16376 16377 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 ( 18 , 225792 ) ( 28 , 145152 ) ( 32 , 127008 ) ( 36 , 112896 ) 112887 72562 56430 127016 112905 72590 56466 M 8 M 9 12 M M 14 32 18 ( 42 , 96768 ) 48363 48405 M 21 ( 54 , 75264 ) 37605 37659 M 3 ( 48 , 84672 ) ( 56 , 72576 ) ( 64 , 63504 ) ( 72 , 56448 ) ( 84 , 48384 ) ( 96 , 42336 ) ( 98 , 41472 ) ( 108 , 37632 ) ( 112 , 36288 ) ( 126 , 32256 ) ( 128 , 31752 ) ( 144 , 28224 ) ( 162 , 25088 ) ( 168 , 24192 ) ( 192 , 21168 ) ( 196 , 20736 ) ( 216 , 18816 ) ( 224 , 18144 ) ( 252 , 16128 ) 42312 36260 31720 28188 24150 21120 20687 18762 18088 16065 15812 14040 12463 12012 10488 10270 42360 36316 31784 28260 24234 21216 20785 18870 M M M M M M P M 18200 15940 36 42 96 1 6 56 63 M 14184 M 12625 P 12180 M 10680 4 72 1 84 M 9516 M 7938 8190 M 9184 8 M 9300 8960 28 M 16191 10466 24 M M 24 12 2 224 126 759 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16378 2016 ( 256 , 15876 ) 7810 8066 M 2 16380 2016 ( 294 , 13824 ) 6765 7059 M 3 16379 16381 16382 16383 16384 16385 16386 16387 16388 16389 16390 16391 16392 16393 16394 16395 16396 16397 16398 16399 16400 16401 16402 16403 16404 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 2016 ( 288 , 14112 ) ( 324 , 12544 ) ( 336 , 12096 ) ( 378 , 10752 ) ( 384 , 10584 ) ( 392 , 10368 ) 6912 6110 5880 5187 5100 4988 7200 6434 6216 5565 5484 5380 M 288 M 2 M 168 M 21 M M 12 4 ( 432 , 9408 ) 4488 4920 M 24 ( 504 , 8064 ) 3780 4284 M 252 ( 448 , 9072 ) ( 512 , 7938 ) ( 576 , 7056 ) ( 588 , 6912 ) ( 648 , 6272 ) ( 672 , 6048 ) ( 756 , 5376 ) ( 768 , 5292 ) ( 784 , 5184 ) ( 864 , 4704 ) ( 882 , 4608 ) ( 896 , 4536 ) ( 1008 , 4032 ) ( 1134 , 3584 ) ( 1152 , 3528 ) ( 1176 , 3456 ) ( 1296 , 3136 ) 4312 3713 3240 3162 2812 2688 2310 2262 2200 1920 1863 1820 1512 1225 1188 1140 920 4760 4225 3816 3750 3460 3360 3066 3030 2984 2784 2745 2716 2520 2359 2340 2316 2216 M P M M M M M M M M M M M M M M M 56 1 72 6 4 672 42 6 8 96 9 28 504 7 36 12 8 760 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16405 2016 ( 1344 , 3024 ) 840 2184 M 168 16407 2016 ( 1536 , 2646 ) 555 2091 M 3 16406 16408 16409 16410 16411 2016 2016 2016 2016 2016 ( 1512 , 2688 ) ( 1568 , 2592 ) ( 1728 , 2352 ) ( 1764 , 2304 ) ( 1792 , 2268 ) 588 512 312 270 238 2100 M 2080 84 M 2040 32 M 2034 24 M 2030 M 18 4 63 14 67 _____________________________________________________________________________ 16412 2017 ( 1 , 4068289 ) 2034144 2034145 P 1 0 1 1 _____________________________________________________________________________ 16413 2018 ( 2 , 2036162 ) 1018080 1018082 M 0 1 2 1 _____________________________________________________________________________ 16414 2019 ( 1 , 4076361 ) 16416 2019 ( 9 , 452929 ) 16415 16417 2019 2019 ( 3 , 1358787 ) ( 673 , 6057 ) 2038180 679392 226460 2692 2038181 679395 226469 3365 M M P P 2 2 673 1 3 1 4 _____________________________________________________________________________ 16418 2020 ( 2 , 2040200 ) 16420 2020 ( 8 , 510050 ) 16419 16421 16422 16423 2020 2020 2020 2020 ( 4 , 1020100 ) ( 10 , 408040 ) ( 20 , 204020 ) ( 40 , 102010 ) 1020099 510048 255021 204015 102000 50985 1020101 510052 255029 204025 102020 51025 M P M M M P 1 5 4 5 1 20 761 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16424 2020 ( 50 , 81608 ) 16426 2020 ( 200 , 20402 ) 16425 16427 16428 16429 16430 2020 2020 2020 2020 2020 ( 100 , 40804 ) ( 202 , 20200 ) ( 404 , 10100 ) ( 808 , 5050 ) ( 1010 , 4040 ) 40779 20352 10101 9999 4848 2121 1515 40829 P 20452 M 10301 P 10201 5252 2929 2525 1 4 1 M 101 M 404 M 101 M 4 505 9 13 _____________________________________________________________________________ 16431 2021 ( 1 , 4084441 ) 16433 2021 ( 47 , 86903 ) 16432 16434 2021 2021 2042220 ( 43 , 94987 ) 47472 ( 1849 , 2209 ) 180 43428 2042221 47515 43475 2029 P M P M 2 2 1 43 1 47 4 _____________________________________________________________________________ 16435 2022 ( 2 , 2044242 ) 16437 2022 ( 18 , 227138 ) 16436 16438 2022 2022 1022120 ( 6 , 681414 ) 340704 ( 674 , 6066 ) 2696 113560 1022122 340710 M 113578 3370 M M M 0 4 2 6 2 674 4 _____________________________________________________________________________ 16439 2023 ( 1 , 4092529 ) 16441 2023 ( 17 , 240737 ) 16440 16442 16443 16444 2023 2023 2023 2023 2046264 2046265 ( 7 , 584647 ) 292320 ( 49 , 83521 ) 41736 41785 ( 289 , 14161 ) 6936 7225 ( 119 , 34391 ) 120360 17136 292327 120377 17255 M P M M M P 7 1 1 17 119 289 762 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16445 2023 ( 833 , 4913 ) 2040 2873 M 2 17 5 7 _____________________________________________________________________________ 16446 2024 ( 2 , 2048288 ) 16448 2024 ( 8 , 512072 ) 256032 256040 ( 22 , 186208 ) 93093 93115 16447 16449 16450 16451 16452 16453 16454 16455 16456 16457 16458 16459 16460 16461 16462 16463 16464 16465 16466 16467 2024 2024 2024 2024 2024 2024 2024 2024 2024 2024 2024 2024 2024 2024 2024 2024 2024 2024 2024 2024 ( 4 , 1024144 ) ( 16 , 256036 ) ( 32 , 128018 ) 1024143 512070 128010 63993 1024145 512074 M P 2 M 128026 M 64025 8 M 2 11 P 1 ( 44 , 93104 ) 46530 46574 M 22 ( 88 , 46552 ) 23232 23320 M 88 ( 46 , 89056 ) ( 92 , 44528 ) ( 176 , 23276 ) ( 184 , 22264 ) ( 242 , 16928 ) ( 352 , 11638 ) ( 368 , 11132 ) 44505 22218 11550 11040 44551 M 22310 46 M 11224 8585 P 5382 5750 M 5995 22 M 8343 5643 23 M 11726 1 M 46 3990 4474 M 2 ( 736 , 5566 ) 2415 3151 M 23 ( 968 , 4232 ) ( 1012 , 4048 ) ( 1058 , 3872 ) ( 1936 , 2116 ) 3795 1632 1518 1407 90 4301 2600 2530 2465 2026 M 253 M 8 M M 184 11 ( 484 , 8464 ) ( 506 , 8096 ) 1 P 4 506 2 18 1 22 _____________________________________________________________________________ 763 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16468 2025 ( 1 , 4100625 ) 16470 2025 ( 5 , 820125 ) 16469 16471 16472 16473 16474 16475 16476 16477 16478 16479 16480 16481 16482 16483 16484 16485 16486 16487 16488 16489 2025 2025 2025 2025 2025 2025 2025 2025 2025 2025 2025 2025 2025 2025 2025 2025 2025 2025 2025 2025 ( 3 , 1366875 ) ( 9 , 455625 ) ( 15 , 273375 ) ( 25 , 164025 ) ( 27 , 151875 ) 2050312 683436 410060 227808 136680 82000 75924 2050313 683439 M 410065 P 3 M 227817 5 M 136695 82025 M 75951 9 M 15 25 M 27 ( 45 , 91125 ) 45540 45585 M 45 ( 81 , 50625 ) 25272 25353 M 81 ( 75 , 54675 ) ( 125 , 32805 ) ( 135 , 30375 ) ( 225 , 18225 ) ( 243 , 16875 ) ( 375 , 10935 ) ( 405 , 10125 ) 27300 16340 15120 27375 M 16465 15255 9225 M 5280 5655 M 8316 4860 8559 5265 3593 P ( 729 , 5625 ) 2448 3177 M ( 1125 , 3645 ) ( 1215 , 3375 ) ( 1875 , 2187 ) 1260 1080 156 3375 135 225 27 15 1 M 2385 2295 2031 M M 2968 2700 5 M ( 625 , 6561 ) ( 675 , 6075 ) 75 M 9000 405 675 9 M 45 M M 1 2 135 20 3 22 _____________________________________________________________________________ 16490 2026 ( 2 , 2052338 ) 1026168 1026170 0 M 1 1 2 _____________________________________________________________________________ 764 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16491 2027 ( 1 , 4108729 ) 2054364 2054365 P 1 0 1 1 _____________________________________________________________________________ 16492 2028 ( 2 , 2056392 ) 16494 2028 ( 6 , 685464 ) 16493 16495 16496 16497 16498 16499 16500 16501 16502 16503 16504 16505 16506 16507 16508 16509 16510 16511 16512 16513 2028 2028 2028 2028 2028 2028 2028 2028 2028 2028 2028 2028 2028 2028 2028 2028 2028 2028 2028 2028 ( 4 , 1028196 ) ( 8 , 514098 ) ( 12 , 342732 ) ( 18 , 228488 ) ( 24 , 171366 ) ( 26 , 158184 ) ( 36 , 114244 ) 1028195 514096 342729 257045 171360 114235 1028197 514100 M 342735 257053 171372 85695 M 57104 57140 M 79105 39572 M ( 78 , 52728 ) 26325 26403 M ( 104 , 39546 ) ( 156 , 26364 ) ( 234 , 17576 ) ( 312 , 13182 ) ( 338 , 12168 ) 19721 13104 28597 8905 M 5915 6253 M 6747 52 1 39 13 M 13 M 169 4628 M 52 ( 936 , 4394 ) 1729 2665 M 13 ( 1014 , 4056 ) ( 1352 , 3042 ) 1521 845 3380 2535 2197 M 676 M M 156 39 4160 2704 1 4 ( 468 , 8788 ) ( 676 , 6084 ) 12 13 M 8671 6435 3 P 19825 13260 P M 39520 28525 1 M 114253 1 3 P ( 52 , 79092 ) ( 72 , 57122 ) 4 M 85671 79079 P 4 507 18 169 22 _____________________________________________________________________________ 765 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16514 2029 ( 1 , 4116841 ) 2058420 2058421 P 1 0 1 1 _____________________________________________________________________________ 16515 2030 ( 2 , 2060450 ) 16517 2030 ( 14 , 294350 ) 16516 16518 16519 16520 16521 16522 16523 16524 16525 16526 16527 2030 2030 2030 2030 2030 2030 2030 2030 2030 2030 2030 ( 10 , 412090 ) 1030224 206040 147168 1030226 206050 147182 M ( 50 , 82418 ) 41184 41234 M ( 70 , 58870 ) 29400 29470 M ( 58 , 71050 ) ( 98 , 42050 ) ( 290 , 14210 ) ( 350 , 11774 ) ( 406 , 10150 ) 35496 20976 35554 10 M 58 70 M 2 6960 7250 M 290 4872 5278 M 406 5712 6062 3960 4450 ( 1682 , 2450 ) 384 2066 696 2146 2 14 2 M 21074 ( 490 , 8410 ) ( 1450 , 2842 ) M M 14 M 10 M 2 M 58 0 13 13 _____________________________________________________________________________ 16528 2031 ( 1 , 4124961 ) 16530 2031 ( 9 , 458329 ) 16529 16531 2031 2031 ( 3 , 1374987 ) ( 677 , 6093 ) 2062480 687492 229160 2708 2062481 687495 229169 3385 M M P P 2 2 677 1 3 1 4 _____________________________________________________________________________ 16532 2032 ( 2 , 2064512 ) 16534 2032 ( 8 , 516128 ) 16533 2032 ( 4 , 1032256 ) 1032255 516126 258060 1032257 516130 258068 M M P 2 4 1 766 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16535 2032 ( 16 , 258064 ) 16537 2032 ( 64 , 64516 ) 32226 32290 ( 254 , 16256 ) 8001 8255 16536 16538 16539 16540 16541 2032 2032 2032 2032 2032 ( 32 , 129032 ) ( 128 , 32258 ) ( 508 , 8128 ) ( 1016 , 4064 ) 129024 64500 16065 3810 1524 129040 64532 M 16193 4318 2540 M M M 2 P 4 16 1 127 M 254 M 2 8 508 10 _____________________________________________________________________________ 16542 2033 ( 1 , 4133089 ) 16544 2033 ( 107 , 38627 ) 16543 16545 2033 2033 2066544 ( 19 , 217531 ) 108756 ( 361 , 11449 ) 5544 19260 2066545 108775 19367 5905 P M M 2 P 2 1 19 1 107 4 _____________________________________________________________________________ 16546 2034 ( 2 , 2068578 ) 16548 2034 ( 18 , 229842 ) 16547 16549 16550 16551 16552 2034 2034 2034 2034 2034 1034288 1034290 ( 6 , 689526 ) 344760 ( 54 , 76614 ) 38280 38334 ( 226 , 18306 ) 9040 9266 ( 162 , 25538 ) ( 678 , 6102 ) 114912 12688 2712 344766 114930 12850 3390 M M M M M M 6 6 M 2 18 2 226 0 7 678 7 _____________________________________________________________________________ 16553 2035 ( 1 , 4141225 ) 16555 2035 ( 11 , 376475 ) 16554 2035 ( 5 , 828245 ) 2070612 414120 188232 2070613 414125 188243 M M P 5 1 11 767 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16556 2035 ( 25 , 165649 ) 16558 2035 ( 55 , 75295 ) 16557 16559 16560 16561 16562 16563 16564 16565 2035 2035 2035 2035 2035 2035 2035 2035 ( 37 , 111925 ) ( 121 , 34225 ) ( 185 , 22385 ) ( 275 , 15059 ) ( 407 , 10175 ) 82812 55944 37620 17052 11100 7392 4884 82837 55981 17173 11285 7667 M 1 M 11 M 3725 M ( 1369 , 3025 ) 828 2197 P 2701 55 P 3120 1776 37 M ( 605 , 6845 ) ( 925 , 4477 ) 1 M 37675 5291 P 185 407 5 M 37 4 9 1 13 _____________________________________________________________________________ 16566 2036 ( 2 , 2072648 ) 16568 2036 ( 8 , 518162 ) 16567 16569 2036 2036 ( 4 , 1036324 ) ( 1018 , 4072 ) 1036323 518160 259077 1527 1036325 518164 259085 2545 M P P M 2 1 2 4 1 509 4 _____________________________________________________________________________ 16570 2037 ( 1 , 4149369 ) 16572 2037 ( 7 , 592767 ) 296380 296387 ( 21 , 197589 ) 98784 98805 16571 16573 16574 16575 16576 16577 16578 2037 2037 2037 2037 2037 2037 2037 ( 3 , 1383123 ) ( 9 , 461041 ) 2074684 691560 230516 2074685 691563 230525 M M 42365 P ( 97 , 42777 ) 21340 21437 M ( 147 , 28227 ) 14040 32963 14187 7 P 42316 32900 3 M ( 49 , 84681 ) ( 63 , 65863 ) P M M 1 1 21 7 97 3 1 768 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16579 2037 ( 291 , 14259 ) 16581 2037 ( 679 , 6111 ) 16580 16582 2037 2037 6984 7275 M ( 441 , 9409 ) 4484 4925 P ( 873 , 4753 ) 1940 2813 M 2716 3395 1 M 291 679 4 9 97 13 _____________________________________________________________________________ 16583 2038 ( 2 , 2076722 ) 1038360 1038362 M 0 1 2 1 _____________________________________________________________________________ 16584 2039 ( 1 , 4157521 ) 2078760 2078761 P 1 0 1 1 _____________________________________________________________________________ 16585 2040 ( 2 , 2080800 ) 16587 2040 ( 6 , 693600 ) 16586 16588 16589 16590 16591 16592 16593 16594 16595 16596 16597 16598 16599 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 ( 4 , 1040400 ) ( 8 , 520200 ) ( 10 , 416160 ) ( 12 , 346800 ) ( 16 , 260100 ) ( 18 , 231200 ) ( 20 , 208080 ) ( 24 , 173400 ) ( 30 , 138720 ) ( 32 , 130050 ) ( 34 , 122400 ) ( 36 , 115600 ) ( 40 , 104040 ) 1040399 520198 346797 260096 208075 173394 130042 115591 104030 1040401 520202 346803 260104 208085 M 65009 65041 P 57782 52000 57818 52040 2 P M 61217 6 M 86712 61183 5 M 115609 69375 8 M 130058 M M M M M 1 3 M 86688 69345 2 M 173406 104050 P 1 10 24 15 1 17 2 40 769 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16600 2040 ( 48 , 86700 ) 43326 43374 M 16602 2040 ( 60 , 69360 ) 34650 34710 M 16601 16603 16604 16605 16606 16607 16608 16609 16610 16611 16612 16613 16614 16615 16616 16617 16618 16619 16620 16621 16622 16623 16624 16625 16626 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 ( 50 , 83232 ) ( 68 , 61200 ) ( 72 , 57800 ) ( 80 , 52020 ) ( 90 , 46240 ) ( 96 , 43350 ) ( 100 , 41616 ) ( 102 , 40800 ) ( 120 , 34680 ) ( 136 , 30600 ) ( 144 , 28900 ) ( 150 , 27744 ) ( 160 , 26010 ) ( 170 , 24480 ) ( 180 , 23120 ) ( 200 , 20808 ) ( 204 , 20400 ) ( 240 , 17340 ) ( 272 , 15300 ) ( 288 , 14450 ) ( 300 , 13872 ) ( 306 , 13600 ) ( 340 , 12240 ) ( 360 , 11560 ) ( 400 , 10404 ) 41591 30566 28864 25970 23075 21627 20758 20349 17280 15232 14378 13797 12925 12155 11470 10304 10098 41641 30634 28936 26050 23165 21723 20858 P 11650 85 M 10504 5402 5 M 10 M P 5002 3 M 12325 5960 2 M 7369 5600 136 M 13085 6290 120 M 13947 M M M M M M M 2 51 M 7081 5950 3 M 14522 6953 5 M M 6647 10 M 15368 7086 8 M 8790 6786 34 M 17400 7786 30 M 8550 7514 1 M 20451 10302 6 8 30 102 34 1 6 17 170 40 2 770 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16627 2040 ( 408 , 10200 ) 16629 2040 ( 480 , 8670 ) 16628 16630 16631 16632 16633 16634 16635 16636 16637 16638 16639 16640 16641 16642 16643 16644 16645 16646 16647 16648 16649 16650 16651 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 2040 4896 5304 M ( 450 , 9248 ) 4399 4849 P ( 510 , 8160 ) 3825 4335 M ( 544 , 7650 ) ( 578 , 7200 ) ( 600 , 6936 ) ( 612 , 6800 ) ( 680 , 6120 ) ( 720 , 5780 ) ( 800 , 5202 ) ( 816 , 5100 ) ( 850 , 4896 ) ( 900 , 4624 ) ( 1020 , 4080 ) ( 1156 , 3600 ) ( 1200 , 3468 ) ( 1224 , 3400 ) ( 1360 , 3060 ) ( 1440 , 2890 ) ( 1530 , 2720 ) ( 1632 , 2550 ) ( 1700 , 2448 ) ( 1734 , 2400 ) ( 1800 , 2312 ) 4095 3553 3311 3168 3094 2720 2530 2201 2142 2023 1862 1530 1222 1134 1088 4575 4097 3889 3768 3706 3400 3250 3001 2958 2873 2762 2550 2378 2334 2312 1 M 408 15 255 M 17 P 1 M 24 M 34 M 680 M 10 P 1 M 102 M 17 M 2 M 510 M 2 M 6 M 136 850 2210 M 170 595 2125 M 85 725 459 374 333 256 2165 2091 2074 2067 2056 M 5 M 51 M 34 M M 3 8 59 8 67 _____________________________________________________________________________ 771 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16652 2041 ( 1 , 4165681 ) 16654 2041 ( 157 , 26533 ) 16653 16655 2041 2041 2082840 ( 13 , 320437 ) 160212 ( 169 , 24649 ) 12240 13188 2082841 160225 13345 M 12409 M P 2 P 1 13 157 2 1 4 _____________________________________________________________________________ 16656 2042 ( 2 , 2084882 ) 1042440 1042442 M 0 1 2 1 _____________________________________________________________________________ 16657 2043 ( 1 , 4173849 ) 16659 2043 ( 9 , 463761 ) 231876 ( 81 , 51529 ) 25724 ( 681 , 6129 ) 2724 16658 16660 16661 16662 16663 2043 2043 2043 2043 2043 ( 3 , 1391283 ) ( 27 , 154587 ) ( 227 , 18387 ) 2086924 695640 77280 9080 2086925 695643 M 231885 3405 P 1 M M 1 9 M 25805 3 M 77307 9307 P 3 227 2 5 681 7 _____________________________________________________________________________ 16664 2044 ( 2 , 2088968 ) 16666 2044 ( 8 , 522242 ) 261117 261125 ( 28 , 149212 ) 74592 74620 16665 16667 16668 16669 16670 16671 16672 2044 2044 2044 2044 2044 2044 2044 ( 4 , 1044484 ) ( 14 , 298424 ) ( 56 , 74606 ) ( 98 , 42632 ) ( 146 , 28616 ) ( 196 , 21316 ) 1044483 522240 149205 37275 21267 14235 10560 1044485 522244 149219 37331 21365 14381 10756 M P P M M P M M 1 M 7 1 4 7 28 73 4 1 772 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16673 2044 ( 292 , 14308 ) 16675 2044 ( 584 , 7154 ) 16674 16676 2044 2044 ( 392 , 10658 ) ( 1022 , 4088 ) 7008 5133 3285 1533 7300 5525 3869 2555 M 292 P 1 M 73 M 4 9 511 13 _____________________________________________________________________________ 16677 2045 ( 1 , 4182025 ) 16679 2045 ( 25 , 167281 ) 16678 16680 2045 2045 2091012 ( 5 , 836405 ) 418200 ( 409 , 10225 ) 4908 83628 2091013 418205 83653 5317 M M P P 2 1 2 5 1 409 4 _____________________________________________________________________________ 16681 2046 ( 2 , 2093058 ) 16683 2046 ( 18 , 232562 ) 16682 16684 16685 16686 16687 16688 16689 16690 16691 16692 16693 2046 2046 2046 2046 2046 2046 2046 2046 2046 2046 2046 1046528 1046530 ( 6 , 697686 ) 348840 348846 ( 22 , 190278 ) 95128 95150 ( 62 , 67518 ) ( 66 , 63426 ) ( 186 , 22506 ) ( 198 , 21142 ) ( 242 , 17298 ) 116272 33728 31680 11160 10472 8528 M 116290 M 33790 M 22 62 66 M M 186 M 2 ( 558 , 7502 ) 3472 4030 M 62 ( 726 , 5766 ) 2520 3246 M 6 ( 682 , 6138 ) ( 1922 , 2178 ) 2728 128 3410 2050 M M 2 2 M 11346 8770 6 M 31746 10670 M 22 682 0 13 2 13 _____________________________________________________________________________ 773 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16694 2047 ( 1 , 4190209 ) 16696 2047 ( 89 , 47081 ) 16695 16697 2047 2047 ( 23 , 182183 ) ( 529 , 7921 ) 2095104 91080 23496 3696 2095105 91103 23585 4225 P P M M 2 2 23 1 1 89 4 _____________________________________________________________________________ 16698 2048 ( 2 , 2097152 ) 16700 2048 ( 8 , 524288 ) 262140 262148 ( 32 , 131072 ) 65520 65552 16699 16701 16702 16703 16704 16705 16706 16707 2048 2048 2048 2048 2048 2048 2048 2048 ( 4 , 1048576 ) ( 16 , 262144 ) 1048575 524286 131064 1048577 524290 32736 32800 ( 256 , 16384 ) 8064 8320 ( 512 , 8192 ) ( 1024 , 4096 ) 16320 3840 1536 4352 2560 M M 1 4 M 8 16 M 16448 2 M 131080 ( 64 , 65536 ) ( 128 , 32768 ) M P 32 M 64 128 M 256 M 1 9 512 10 _____________________________________________________________________________ 16708 2049 ( 1 , 4198401 ) 16710 2049 ( 9 , 466489 ) 16709 16711 2049 2049 ( 3 , 1399467 ) ( 683 , 6147 ) 2099200 699732 233240 2732 2099201 699735 233249 3415 M P P M 2 2 683 1 3 1 4 _____________________________________________________________________________ 16712 2050 ( 2 , 2101250 ) 16714 2050 ( 50 , 84050 ) 16713 2050 ( 10 , 420250 ) 1050624 210120 42000 1050626 210130 42050 M M M 50 10 2 774 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16715 2050 ( 82 , 51250 ) 25584 16717 2050 ( 410 , 10250 ) 4920 16716 16718 2050 2050 ( 250 , 16810 ) ( 1250 , 3362 ) 25666 M 82 8280 8530 M 10 1056 2306 M 2 5330 M 410 0 7 7 _____________________________________________________________________________ 16719 2051 ( 1 , 4206601 ) 16721 2051 ( 49 , 85849 ) 16720 16722 2051 2051 ( 7 , 600943 ) ( 293 , 14357 ) 2103300 300468 42900 7032 2103301 300475 42949 7325 P M M 2 P 7 1 2 1 293 4 _____________________________________________________________________________ 16723 2052 ( 2 , 2105352 ) 16725 2052 ( 6 , 701784 ) 16724 16726 16727 16728 16729 16730 16731 16732 16733 16734 16735 16736 16737 2052 2052 2052 2052 2052 2052 2052 2052 2052 2052 2052 2052 2052 ( 4 , 1052676 ) ( 8 , 526338 ) ( 12 , 350892 ) ( 18 , 233928 ) ( 24 , 175446 ) ( 36 , 116964 ) ( 38 , 110808 ) 1052675 526336 350889 263165 175440 116955 1052677 526340 M 350895 175452 M 55385 55423 M 58500 1 M 87735 M 3 M 39015 M 27 ( 76 , 55404 ) 27664 27740 M 76 ( 108 , 38988 ) ( 114 , 36936 ) ( 152 , 27702 ) 19440 18411 13775 29277 19548 18525 13927 M M M M 9 19 38961 29205 12 36 ( 54 , 77976 ) ( 72 , 58482 ) 1 3 P 87711 58464 4 M 263173 116973 P 9 108 57 19 775 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16738 2052 ( 162 , 25992 ) 12915 16740 2052 ( 228 , 18468 ) 9120 16739 16741 16742 16743 16744 16745 16746 16747 16748 16749 16750 16751 16752 16753 2052 2052 2052 2052 2052 2052 2052 2052 2052 2052 2052 2052 2052 2052 ( 216 , 19494 ) ( 324 , 12996 ) ( 342 , 12312 ) 13077 9639 9855 M 6336 6660 M 5985 9348 6327 M 27 M 228 36 M 171 ( 456 , 9234 ) 4389 4845 M 57 ( 648 , 6498 ) 2925 3573 M 9 ( 486 , 8664 ) ( 684 , 6156 ) ( 722 , 5832 ) ( 972 , 4332 ) ( 1026 , 4104 ) ( 1368 , 3078 ) ( 1444 , 2916 ) ( 1458 , 2888 ) ( 1944 , 2166 ) 4089 2736 2555 1680 1539 4575 M 3420 2652 2565 12 M M 715 2173 P 2180 1 M 2223 111 684 P 855 736 3 M 3277 513 171 M 2055 M 9 4 1 4 27 3 31 _____________________________________________________________________________ 16754 2053 ( 1 , 4214809 ) 2107404 2107405 1 P 0 1 1 _____________________________________________________________________________ 16755 2054 ( 2 , 2109458 ) 16757 2054 ( 158 , 26702 ) 16756 16758 2054 2054 1054728 ( 26 , 162266 ) 81120 ( 338 , 12482 ) 6072 13272 1054730 81146 13430 6410 M M M M 0 4 26 2 2 158 4 _____________________________________________________________________________ 776 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16759 2055 ( 1 , 4223025 ) 16761 2055 ( 5 , 844605 ) 16760 16762 16763 16764 16765 16766 16767 16768 16769 16770 16771 2055 2055 2055 2055 2055 2055 2055 2055 2055 2055 2055 ( 3 , 1407675 ) ( 9 , 469225 ) ( 15 , 281535 ) ( 25 , 168921 ) ( 45 , 93845 ) ( 75 , 56307 ) ( 137 , 30825 ) ( 225 , 18769 ) ( 411 , 10275 ) ( 685 , 6165 ) ( 1233 , 3425 ) 2111512 703836 422300 234608 140760 84448 46900 28116 15344 9272 4932 2740 1096 2111513 703839 M 422305 84473 P 46945 M 1 9497 3 M P 15 5 M 15481 2329 1 M 28191 1 5 P 140775 3425 3 M 234617 5343 P 1 M 137 411 M 685 M 4 9 137 13 _____________________________________________________________________________ 16772 2056 ( 2 , 2113568 ) 16774 2056 ( 8 , 528392 ) 264192 264200 ( 32 , 132098 ) 66033 66065 16773 16775 16776 16777 16778 2056 2056 2056 2056 2056 ( 4 , 1056784 ) ( 16 , 264196 ) ( 514 , 8224 ) ( 1028 , 4112 ) 1056783 528390 132090 3855 1542 1056785 528394 M 2570 2 M 132106 4369 P M P 1 8 M 1 2 257 M 2 5 514 7 _____________________________________________________________________________ 16779 2057 ( 1 , 4231249 ) 16781 2057 ( 17 , 248897 ) 16780 2057 ( 11 , 384659 ) 2115624 192324 124440 2115625 192335 124457 M M P 1 11 17 777 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16782 2057 ( 121 , 34969 ) 17424 16784 2057 ( 289 , 14641 ) 7176 16783 16785 2057 2057 ( 187 , 22627 ) ( 1331 , 3179 ) 11220 924 17545 11407 7465 2255 M M P M 121 187 1 2 5 11 7 _____________________________________________________________________________ 16786 2058 ( 2 , 2117682 ) 16788 2058 ( 14 , 302526 ) 16787 16789 16790 16791 16792 16793 16794 16795 2058 2058 2058 2058 2058 2058 2058 2058 ( 6 , 705894 ) ( 18 , 235298 ) ( 42 , 100842 ) 1058840 352944 151256 117640 50400 1058842 352950 151270 50442 21560 21658 ( 294 , 14406 ) 7056 7350 ( 686 , 6174 ) ( 882 , 4802 ) 16744 2744 1960 2842 M M M 2 42 98 M 14 294 M M 2 14 M 16870 3430 6 M 117658 ( 98 , 43218 ) ( 126 , 33614 ) M M 686 0 10 98 10 _____________________________________________________________________________ 16796 2059 ( 1 , 4239481 ) 16798 2059 ( 71 , 59711 ) 16797 16799 2059 2059 ( 29 , 146189 ) ( 841 , 5041 ) 2119740 73080 29820 2100 2119741 73109 29891 2941 P P M M 2 2 29 1 1 71 4 _____________________________________________________________________________ 16800 2060 ( 2 , 2121800 ) 16802 2060 ( 8 , 530450 ) 16801 2060 ( 4 , 1060900 ) 1060899 530448 265221 1060901 530452 265229 M P P 1 4 1 778 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16803 2060 ( 10 , 424360 ) 212175 16805 2060 ( 40 , 106090 ) 53025 16804 16806 16807 16808 16809 16810 16811 16812 2060 2060 2060 2060 2060 2060 2060 2060 ( 20 , 212180 ) ( 50 , 84872 ) ( 100 , 42436 ) ( 200 , 21218 ) ( 206 , 20600 ) ( 412 , 10300 ) ( 824 , 5150 ) ( 1030 , 4120 ) 106080 42411 21168 10509 10197 4944 2163 1545 212185 M 106100 53065 M 42461 P 10403 2575 M 5 1 M 10709 2987 M P 21268 5356 5 20 4 1 M 103 412 M 103 M 4 9 515 13 _____________________________________________________________________________ 16813 2061 ( 1 , 4247721 ) 16815 2061 ( 9 , 471969 ) 235980 ( 81 , 52441 ) 26180 ( 687 , 6183 ) 2748 16814 16816 16817 16818 16819 2061 2061 2061 2061 2061 ( 3 , 1415907 ) ( 27 , 157323 ) ( 229 , 18549 ) 2123860 707952 78648 9160 2123861 707955 M 235989 9389 3435 3 M 78675 26261 P 9 M P 1 M M 2 1 3 229 5 687 7 _____________________________________________________________________________ 16820 2062 ( 2 , 2125922 ) 1062960 1062962 0 M 1 1 2 _____________________________________________________________________________ 16821 2063 ( 1 , 4255969 ) 2127984 2127985 1 P 0 1 1 _____________________________________________________________________________ 779 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16822 2064 ( 2 , 2130048 ) 16824 2064 ( 6 , 710016 ) 16823 16825 16826 16827 16828 16829 16830 16831 16832 16833 16834 16835 16836 16837 16838 16839 16840 16841 16842 16843 16844 16845 16846 16847 16848 2064 2064 2064 2064 2064 2064 2064 2064 2064 2064 2064 2064 2064 2064 2064 2064 2064 2064 2064 2064 2064 2064 2064 2064 2064 ( 4 , 1065024 ) ( 8 , 532512 ) ( 12 , 355008 ) ( 16 , 266256 ) ( 18 , 236672 ) ( 24 , 177504 ) ( 32 , 133128 ) ( 36 , 118336 ) 1065023 532510 355005 266252 177498 133120 118327 1065025 532514 M 355011 2 M 266260 177510 4 M 133136 6 M 118345 88764 M 59150 59186 M 66580 16 P 1 12 M 4 2 ( 48 , 88752 ) 44352 44400 M 48 ( 72 , 59168 ) 29548 29620 M 4 ( 64 , 66564 ) ( 86 , 49536 ) ( 96 , 44376 ) ( 128 , 33282 ) ( 144 , 29584 ) ( 172 , 24768 ) ( 192 , 22188 ) ( 258 , 16512 ) ( 288 , 14792 ) ( 344 , 12384 ) ( 384 , 11094 ) 33250 24725 22140 16577 14720 12298 10998 33314 M 24811 14864 M 6020 6364 M 5739 16 M 8385 5355 1 M 12470 7540 12 P 8127 7252 43 M 16705 11190 2 M 22236 M M M 86 6 129 4 172 3 ( 516 , 8256 ) 3870 4386 M 258 ( 688 , 6192 ) 2752 3440 M 688 ( 576 , 7396 ) ( 774 , 5504 ) 3410 2365 3986 3139 M M 1 3 M 88740 66548 P 2 43 780 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16849 2064 ( 1032 , 4128 ) 1548 16851 2064 ( 1376 , 3096 ) 860 16850 16852 2064 2064 ( 1152 , 3698 ) ( 1548 , 2752 ) 1273 602 2580 2425 2236 2150 M 516 P 1 M M 172 4 27 86 31 _____________________________________________________________________________ 16853 2065 ( 1 , 4264225 ) 16855 2065 ( 7 , 609175 ) 16854 16856 16857 16858 16859 16860 16861 16862 16863 16864 16865 2065 2065 2065 2065 2065 2065 2065 2065 2065 2065 2065 2132112 2132113 ( 5 , 852845 ) 426420 426425 ( 25 , 170569 ) 85272 85297 ( 35 , 121835 ) ( 49 , 87025 ) ( 59 , 72275 ) ( 175 , 24367 ) ( 245 , 17405 ) ( 295 , 14455 ) ( 413 , 10325 ) ( 1225 , 3481 ) ( 1475 , 2891 ) 304584 60900 43488 36108 12096 M 304591 P 60935 43537 P 36167 M 4956 5369 M 708 7375 2183 1 M 12271 2353 1 M 8825 1128 5 M 8580 7080 P 7 35 59 M 5 M 7 295 413 P M 1 1 4 9 59 13 _____________________________________________________________________________ 16866 2066 ( 2 , 2134178 ) 1067088 1067090 M 0 1 2 1 _____________________________________________________________________________ 16867 2067 ( 1 , 4272489 ) 16869 2067 ( 9 , 474721 ) 16868 2067 ( 3 , 1424163 ) 2136244 712080 237356 2136245 712083 237365 M P P 1 3 1 781 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16870 2067 ( 13 , 328653 ) 16872 2067 ( 53 , 80613 ) 16871 16873 16874 16875 16876 16877 16878 16879 2067 2067 2067 2067 2067 2067 2067 2067 ( 39 , 109551 ) ( 117 , 36517 ) ( 159 , 26871 ) ( 169 , 25281 ) 164320 54756 40280 18200 13356 12556 164333 54795 M 40333 13515 4717 M ( 689 , 6201 ) 2756 3445 M ( 1521 , 2809 ) 644 4467 53 13 M 4240 3960 39 M ( 477 , 8957 ) ( 507 , 8427 ) 13 M 18317 12725 M 159 P 53 M 2165 1 3 689 P 4 9 1 13 _____________________________________________________________________________ 16880 2068 ( 2 , 2138312 ) 16882 2068 ( 8 , 534578 ) 267285 ( 44 , 97196 ) 48576 48620 M 44 ( 94 , 45496 ) 22701 22795 M 47 16881 16883 16884 16885 16886 16887 16888 16889 16890 16891 16892 2068 2068 2068 2068 2068 2068 2068 2068 2068 2068 2068 ( 4 , 1069156 ) ( 22 , 194392 ) ( 88 , 48598 ) ( 188 , 22748 ) ( 242 , 17672 ) ( 376 , 11374 ) ( 484 , 8836 ) ( 968 , 4418 ) ( 1034 , 4136 ) 1069155 534576 97185 24255 11280 8715 5499 4176 1725 1551 1069157 534580 M 267293 P 97207 8957 5875 4660 2693 2585 1 M 24343 11468 P 11 M 11 M P 1 M 4 P 4 188 47 M M 4 1 1 9 517 13 _____________________________________________________________________________ 782 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16893 2069 ( 1 , 4280761 ) 2140380 2140381 P 1 0 1 1 _____________________________________________________________________________ 16894 2070 ( 2 , 2142450 ) 16896 2070 ( 10 , 428490 ) 16895 16897 16898 16899 16900 16901 16902 16903 16904 16905 16906 16907 16908 16909 16910 16911 16912 16913 16914 16915 2070 2070 2070 2070 2070 2070 2070 2070 2070 2070 2070 2070 2070 2070 2070 2070 2070 2070 2070 2070 ( 6 , 714150 ) ( 18 , 238050 ) ( 30 , 142830 ) 1071224 357072 214240 119016 71400 1071226 357078 M 214250 M 6 M 119034 71430 M 10 M 18 30 ( 46 , 93150 ) 46552 46598 M 46 ( 54 , 79350 ) 39648 39702 M 6 ( 50 , 85698 ) ( 90 , 47610 ) ( 138 , 31050 ) ( 150 , 28566 ) ( 162 , 26450 ) ( 230 , 18630 ) ( 270 , 15870 ) ( 414 , 10350 ) 42824 23760 15456 14208 13144 42874 M 23850 9430 M 4968 5382 M 8070 138 M 9200 7800 90 M 14358 13306 2 M 15594 6 M 2 230 M 30 414 ( 450 , 9522 ) 4536 4986 M 18 ( 810 , 5290 ) 2240 3050 M 10 ( 690 , 6210 ) ( 1058 , 4050 ) ( 1150 , 3726 ) ( 1242 , 3450 ) ( 1350 , 3174 ) 2760 1496 1288 1104 912 3450 2554 2438 2346 2262 M 690 M 2 M 46 M M 2 0 138 22 6 22 _____________________________________________________________________________ 783 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16916 2071 ( 1 , 4289041 ) 16918 2071 ( 109 , 39349 ) 16917 16919 2071 2071 2144520 ( 19 , 225739 ) 112860 ( 361 , 11881 ) 5760 19620 2144521 112879 19729 6121 P M M 2 P 2 1 19 109 1 4 _____________________________________________________________________________ 16920 2072 ( 2 , 2146592 ) 16922 2072 ( 8 , 536648 ) 16921 16923 16924 16925 16926 16927 16928 16929 16930 16931 16932 16933 16934 16935 16936 16937 16938 16939 16940 2072 2072 2072 2072 2072 2072 2072 2072 2072 2072 2072 2072 2072 2072 2072 2072 2072 2072 2072 ( 4 , 1073296 ) ( 14 , 306656 ) ( 16 , 268324 ) ( 28 , 153328 ) ( 32 , 134162 ) 1073295 536646 268320 153321 134154 76650 67065 1073297 536650 M 268328 153335 134170 76678 M 67097 M ( 98 , 43808 ) 21855 21953 P ( 148 , 29008 ) ( 196 , 21904 ) ( 224 , 19166 ) ( 296 , 14504 ) ( 392 , 10952 ) 19110 14430 10854 29045 14578 14 1 56 37 1 M 9695 M 5280 5672 M 7400 2 M 9471 7104 M M 19222 11050 7 P 38360 ( 112 , 38332 ) 8 M 38304 28971 2 M ( 56 , 76664 ) ( 74 , 58016 ) P M M 74 7 8 3885 4403 M 259 ( 784 , 5476 ) 2346 3130 M 2 ( 1036 , 4144 ) ( 1184 , 3626 ) 3330 1554 1221 3922 2590 2405 M M M 2 296 ( 518 , 8288 ) ( 592 , 7252 ) 14 74 518 37 1 784 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16941 2072 ( 1568 , 2738 ) 585 2153 P 4 18 1 22 _____________________________________________________________________________ 16942 2073 ( 1 , 4297329 ) 16944 2073 ( 9 , 477481 ) 16943 16945 2073 2073 ( 3 , 1432443 ) ( 691 , 6219 ) 2148664 716220 238736 2764 2148665 716223 238745 3455 M P P M 2 2 1 691 3 1 4 _____________________________________________________________________________ 16946 2074 ( 2 , 2150738 ) 16948 2074 ( 122 , 35258 ) 16947 16949 2074 2074 ( 34 , 126514 ) ( 578 , 7442 ) 1075368 63240 17568 3432 1075370 63274 17690 4010 M M M M 0 4 34 2 2 122 4 _____________________________________________________________________________ 16950 2075 ( 1 , 4305625 ) 16952 2075 ( 25 , 172225 ) 16951 16953 16954 16955 16956 2075 2075 2075 2075 2075 2152812 2152813 ( 5 , 861125 ) 430560 ( 83 , 51875 ) 25896 25979 ( 415 , 10375 ) 4980 5395 ( 125 , 34445 ) ( 625 , 6889 ) 86100 17160 3132 430565 86125 5 M M P 1 25 M 17285 3757 M P 83 M 5 2 5 1 415 7 _____________________________________________________________________________ 16957 2076 ( 2 , 2154888 ) 16959 2076 ( 6 , 718296 ) 16958 2076 ( 4 , 1077444 ) 1077443 538720 359145 1077445 538724 359151 M M P 4 3 1 785 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16960 2076 ( 8 , 538722 ) 16962 2076 ( 18 , 239432 ) 16961 16963 16964 16965 16966 16967 16968 16969 2076 2076 2076 2076 2076 2076 2076 2076 ( 12 , 359148 ) ( 24 , 179574 ) ( 36 , 119716 ) 269357 179568 119707 89775 59840 269365 P 179580 1 M 119725 89799 M 59876 P 3 M ( 72 , 59858 ) 29893 ( 692 , 6228 ) 2768 3460 M 692 ( 1384 , 3114 ) 865 2249 M 173 ( 346 , 12456 ) ( 1038 , 4152 ) 6055 1557 29965 6401 2595 P 1 M 12 1 4 173 M 519 4 9 13 _____________________________________________________________________________ 16970 2077 ( 1 , 4313929 ) 16972 2077 ( 67 , 64387 ) 16971 16973 2077 2077 ( 31 , 139159 ) ( 961 , 4489 ) 2156964 69564 32160 1764 2156965 69595 32227 2725 P P M M 2 2 31 1 1 67 4 _____________________________________________________________________________ 16974 2078 ( 2 , 2159042 ) 1079520 1079522 M 0 1 2 1 _____________________________________________________________________________ 16975 2079 ( 1 , 4322241 ) 16977 2079 ( 7 , 617463 ) 16976 16978 16979 16980 2079 2079 2079 2079 ( 3 , 1440747 ) ( 9 , 480249 ) ( 11 , 392931 ) ( 21 , 205821 ) 2161120 720372 308728 240120 196460 102900 2161121 720375 308735 240129 196471 102921 M M M M M P 3 1 7 9 11 21 786 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 16981 2079 ( 27 , 160083 ) 16983 2079 ( 49 , 88209 ) 44080 44129 P ( 77 , 56133 ) 28028 28105 M 16982 16984 16985 16986 16987 16988 16989 16990 16991 16992 16993 16994 16995 16996 16997 16998 16999 17000 17001 17002 17003 17004 17005 2079 2079 2079 2079 2079 2079 2079 2079 2079 2079 2079 2079 2079 2079 2079 2079 2079 2079 2079 2079 2079 2079 2079 ( 33 , 130977 ) ( 63 , 68607 ) ( 81 , 53361 ) ( 99 , 43659 ) ( 121 , 35721 ) ( 147 , 29403 ) ( 189 , 22869 ) ( 231 , 18711 ) ( 243 , 17787 ) ( 297 , 14553 ) ( 363 , 11907 ) 80028 65472 34272 26640 21780 17800 14628 11340 80055 65505 M M 34335 17921 M 7128 7425 M 6135 99 1 M 9471 5772 9 P 14775 9015 77 M 9240 8772 63 M 21879 3 M 189 231 M 3 297 M 3 ( 441 , 9801 ) 4680 5121 M 9 ( 567 , 7623 ) 3528 4095 M 63 ( 539 , 8019 ) ( 693 , 6237 ) ( 729 , 5929 ) ( 847 , 5103 ) ( 891 , 4851 ) ( 1089 , 3969 ) ( 1323 , 3267 ) ( 1617 , 2673 ) ( 1701 , 2541 ) 3740 2772 2600 2128 1980 1440 4279 3465 3329 2975 2871 2529 M 11 M 693 P 1 M 7 M 99 M 9 972 2295 M 27 420 2121 M 21 528 2145 33 1 M 26721 11529 27 M 33 4 27 31 _____________________________________________________________________________ 787 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17006 2080 ( 2 , 2163200 ) 17008 2080 ( 8 , 540800 ) 17007 17009 17010 17011 17012 17013 17014 17015 17016 17017 17018 17019 17020 17021 17022 17023 17024 17025 17026 17027 17028 17029 17030 17031 17032 2080 2080 2080 2080 2080 2080 2080 2080 2080 2080 2080 2080 2080 2080 2080 2080 2080 2080 2080 2080 2080 2080 2080 2080 2080 ( 4 , 1081600 ) ( 10 , 432640 ) ( 16 , 270400 ) ( 20 , 216320 ) ( 26 , 166400 ) ( 32 , 135200 ) ( 40 , 108160 ) 1081599 540798 270396 216315 135192 108150 1081601 540802 M 270404 216325 135208 83213 M 54060 54100 M 67616 43289 P ( 64 , 67600 ) 33768 33832 M ( 80 , 54080 ) ( 100 , 43264 ) ( 104 , 41600 ) ( 128 , 33800 ) ( 130 , 33280 ) ( 160 , 27040 ) ( 200 , 21632 ) ( 208 , 20800 ) ( 256 , 16900 ) ( 260 , 16640 ) ( 320 , 13520 ) ( 338 , 12800 ) ( 400 , 10816 ) ( 416 , 10400 ) ( 512 , 8450 ) 27000 21582 20748 16836 16575 13440 10716 10296 41626 21682 16964 13600 6920 M 4992 3969 5408 4481 40 2 52 4 65 160 M 6600 5608 8 M 10916 4 M 2 M P M M P 20 26 M M 5208 1 M 16705 6569 32 M 8578 6231 13 M 20852 8450 10 M 8322 8190 M M 27080 10504 8 M 43239 41574 5 M 108170 1 4 M ( 50 , 86528 ) ( 52 , 83200 ) 2 M 83187 67584 P 104 130 40 1 8 1 416 788 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17033 2080 ( 520 , 8320 ) 3900 4420 M 260 17035 2080 ( 650 , 6656 ) 3003 3653 M 13 17034 17036 17037 17038 17039 17040 17041 17042 17043 17044 17045 2080 2080 2080 2080 2080 2080 2080 2080 2080 2080 2080 ( 640 , 6760 ) ( 676 , 6400 ) ( 800 , 5408 ) ( 832 , 5200 ) ( 1040 , 4160 ) ( 1280 , 3380 ) ( 1300 , 3328 ) ( 1352 , 3200 ) ( 1600 , 2704 ) ( 1664 , 2600 ) ( 1690 , 2560 ) 3060 2862 2304 2184 1560 1050 1014 3700 M 3538 20 M 3104 2 M 3016 2600 M 104 M 2330 2314 32 520 M 10 M 26 924 2276 M 4 468 2132 M 52 552 435 2152 M 2125 M 8 4 36 5 40 _____________________________________________________________________________ 17046 2081 ( 1 , 4330561 ) 2165280 2165281 P 1 0 1 1 _____________________________________________________________________________ 17047 2082 ( 2 , 2167362 ) 17049 2082 ( 18 , 240818 ) 17048 17050 2082 2082 1083680 ( 6 , 722454 ) 361224 ( 694 , 6246 ) 2776 120400 1083682 361230 M 120418 3470 M M M 0 4 6 694 2 2 4 _____________________________________________________________________________ 17051 2083 ( 1 , 4338889 ) 2169444 2169445 1 P 0 1 1 _____________________________________________________________________________ 789 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17052 2084 ( 2 , 2171528 ) 17054 2084 ( 8 , 542882 ) 17053 17055 2084 2084 ( 4 , 1085764 ) ( 1042 , 4168 ) 1085763 542880 271437 1563 1085765 542884 271445 2605 M P P M 2 1 2 4 1 521 4 _____________________________________________________________________________ 17056 2085 ( 1 , 4347225 ) 17058 2085 ( 5 , 869445 ) 17057 17059 17060 17061 17062 17063 17064 17065 17066 17067 17068 2085 2085 2085 2085 2085 2085 2085 2085 2085 2085 2085 ( 3 , 1449075 ) ( 9 , 483025 ) ( 15 , 289815 ) ( 25 , 173889 ) ( 45 , 96605 ) ( 75 , 57963 ) ( 139 , 31275 ) ( 225 , 19321 ) ( 417 , 10425 ) ( 695 , 6255 ) ( 1251 , 3475 ) 2173612 724536 434720 241508 144900 86932 48280 28944 15568 9548 5004 2780 1112 2173613 724539 M 434725 86957 P 48325 M 1 9773 3 M P 15 5 M 15707 2363 1 M 29019 1 5 P 144915 3475 3 M 241517 5421 P 1 M 139 417 M 695 M 4 9 139 13 _____________________________________________________________________________ 17069 2086 ( 2 , 2175698 ) 17071 2086 ( 98 , 44402 ) 17070 17072 2086 2086 ( 14 , 310814 ) ( 298 , 14602 ) 1087848 155400 22152 7152 1087850 155414 22250 7450 M M 0 M M 2 4 14 2 298 4 _____________________________________________________________________________ 790 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17073 2087 ( 1 , 4355569 ) 2177784 2177785 P 1 0 1 1 _____________________________________________________________________________ 17074 2088 ( 2 , 2179872 ) 17076 2088 ( 6 , 726624 ) 17075 17077 17078 17079 17080 17081 17082 17083 17084 17085 17086 17087 17088 17089 17090 17091 17092 17093 17094 17095 17096 17097 2088 2088 2088 2088 2088 2088 2088 2088 2088 2088 2088 2088 2088 2088 2088 2088 2088 2088 2088 2088 2088 2088 ( 4 , 1089936 ) ( 8 , 544968 ) ( 12 , 363312 ) ( 16 , 272484 ) ( 18 , 242208 ) ( 24 , 181656 ) ( 32 , 136242 ) ( 36 , 121104 ) 1089935 544966 363309 272480 181650 136234 121095 1089937 544970 M 363315 2 M 272488 3 M 181662 8 M 136250 6 M 121113 90816 90840 M 60534 60570 M 68105 P 68137 2 M 9 24 P 1 18 ( 48 , 90828 ) 45390 45438 M 6 ( 58 , 75168 ) 37555 37613 M 29 ( 54 , 80736 ) ( 72 , 60552 ) ( 96 , 45414 ) ( 108 , 40368 ) ( 116 , 37584 ) ( 144 , 30276 ) ( 162 , 26912 ) ( 174 , 25056 ) ( 216 , 20184 ) ( 232 , 18792 ) ( 288 , 15138 ) ( 324 , 13456 ) 40341 30240 22659 20130 18734 15066 13375 12441 40395 30312 22755 20238 7425 7713 6566 3 M M 18 P 1 M M 6 58 M 13537 10200 72 M 15210 12615 3 M 18850 9984 9280 M 87 24 9512 M 232 6890 M 2 M 9 1 791 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17098 2088 ( 348 , 12528 ) 17100 2088 ( 464 , 9396 ) 4466 4930 M 58 ( 648 , 6728 ) 3040 3688 M 8 17099 17101 17102 17103 17104 17105 17106 17107 17108 17109 17110 2088 2088 2088 2088 2088 2088 2088 2088 2088 2088 2088 ( 432 , 10092 ) ( 522 , 8352 ) ( 696 , 6264 ) ( 864 , 5046 ) ( 928 , 4698 ) ( 1044 , 4176 ) ( 1296 , 3364 ) ( 1392 , 3132 ) ( 1566 , 2784 ) ( 1682 , 2592 ) 6090 4830 3915 2784 2091 1885 1566 1034 6438 5262 4437 M M 6 M 3480 261 M 2955 696 M 2813 2610 2330 29 M 522 M 2262 M 455 2137 P 2175 3 M 870 609 174 2 174 M 87 4 33 1 37 _____________________________________________________________________________ 17111 2089 ( 1 , 4363921 ) 2181960 2181961 P 1 0 1 1 _____________________________________________________________________________ 17112 2090 ( 2 , 2184050 ) 17114 2090 ( 22 , 198550 ) 17113 17115 17116 17117 17118 17119 17120 2090 2090 2090 2090 2090 2090 2090 1092024 ( 10 , 436810 ) 218400 ( 38 , 114950 ) 57456 ( 50 , 87362 ) ( 110 , 39710 ) ( 190 , 22990 ) ( 242 , 18050 ) ( 418 , 10450 ) 99264 43656 19800 11400 8904 5016 1092026 218410 99286 57494 43706 19910 11590 9146 5434 M M M 10 22 M M 2 M M M M 2 38 110 190 418 2 792 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17121 2090 ( 550 , 7942 ) 3696 4246 M 22 17123 2090 ( 950 , 4598 ) 1824 2774 M 38 17122 17124 2090 2090 ( 722 , 6050 ) ( 1210 , 3610 ) 2664 1200 3386 M 2410 2 M 0 10 13 13 _____________________________________________________________________________ 17125 2091 ( 1 , 4372281 ) 17127 2091 ( 9 , 485809 ) 242900 242909 ( 41 , 106641 ) 53300 53341 17126 17128 17129 17130 17131 17132 17133 17134 17135 17136 17137 2091 2091 2091 2091 2091 2091 2091 2091 2091 2091 2091 ( 3 , 1457427 ) ( 17 , 257193 ) ( 51 , 85731 ) ( 123 , 35547 ) ( 153 , 28577 ) ( 289 , 15129 ) ( 369 , 11849 ) 2186140 728712 128588 42840 17712 14212 7420 5740 2186141 728715 P 128605 M 42891 17835 7709 M ( 1681 , 2601 ) 460 2141 P 2955 17 51 123 17 1 M 3485 3 1 41 M P 2788 2088 M M 14365 6109 1 M ( 697 , 6273 ) ( 867 , 5043 ) M P 41 697 M 3 4 9 1 13 _____________________________________________________________________________ 17138 2092 ( 2 , 2188232 ) 17140 2092 ( 8 , 547058 ) 17139 17141 2092 2092 ( 4 , 1094116 ) ( 1046 , 4184 ) 1094115 547056 273525 1569 1094117 547060 273533 2615 M M 2 P P 1 2 4 1 523 4 _____________________________________________________________________________ 793 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17142 2093 ( 1 , 4380649 ) 17144 2093 ( 13 , 336973 ) 17143 17145 17146 17147 17148 17149 17150 17151 17152 17153 17154 2093 2093 2093 2093 2093 2093 2093 2093 2093 2093 2093 2190324 2190325 ( 7 , 625807 ) 312900 312907 ( 23 , 190463 ) 95220 95243 ( 49 , 89401 ) ( 91 , 48139 ) ( 161 , 27209 ) ( 169 , 25921 ) ( 299 , 14651 ) ( 529 , 8281 ) ( 637 , 6877 ) ( 1127 , 3887 ) ( 1183 , 3703 ) 168480 44676 24024 13524 12876 7176 3876 3120 1380 1260 M 168493 M 44725 2507 M 23 1 91 161 P 1 P 1 M 299 13 M 2443 1 13 M 13045 3757 M M 13685 4405 7 P 24115 7475 P 23 M 4 9 7 13 _____________________________________________________________________________ 17155 2094 ( 2 , 2192418 ) 17157 2094 ( 18 , 243602 ) 17156 17158 2094 2094 1096208 ( 6 , 730806 ) 365400 ( 698 , 6282 ) 2792 121792 1096210 365406 M 121810 3490 M M M 0 4 6 698 2 2 4 _____________________________________________________________________________ 17159 2095 ( 1 , 4389025 ) 17161 2095 ( 25 , 175561 ) 17160 17162 2095 2095 2194512 ( 5 , 877805 ) 438900 ( 419 , 10475 ) 5028 87768 2194513 438905 87793 5447 M M P P 2 1 2 5 1 419 4 _____________________________________________________________________________ 794 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17163 2096 ( 2 , 2196608 ) 17165 2096 ( 8 , 549152 ) 274572 274580 ( 32 , 137288 ) 68628 68660 17164 17166 17167 17168 17169 17170 17171 17172 2096 2096 2096 2096 2096 2096 2096 2096 ( 4 , 1098304 ) ( 16 , 274576 ) 1098303 549150 137280 1098305 549154 34290 34354 ( 262 , 16768 ) 8253 8515 ( 524 , 8384 ) ( 1048 , 4192 ) 17097 3930 1572 4454 2620 M M 1 4 M M 17225 2 M 137296 ( 64 , 68644 ) ( 128 , 34322 ) M P 2 P 4 16 1 131 M 262 M 2 8 524 10 _____________________________________________________________________________ 17173 2097 ( 1 , 4397409 ) 17175 2097 ( 9 , 488601 ) 244296 ( 81 , 54289 ) 27104 ( 699 , 6291 ) 2796 17174 17176 17177 17178 17179 2097 2097 2097 2097 2097 ( 3 , 1465803 ) ( 27 , 162867 ) ( 233 , 18873 ) 2198704 732900 81420 9320 2198705 732903 M 244305 9553 3495 3 M 81447 27185 P 9 M P 1 M M 2 1 3 233 5 699 7 _____________________________________________________________________________ 17180 2098 ( 2 , 2200802 ) 1100400 1100402 0 M 1 1 2 _____________________________________________________________________________ 17181 2099 ( 1 , 4405801 ) 2202900 2202901 1 P 0 1 1 _____________________________________________________________________________ 795 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17182 2100 ( 2 , 2205000 ) 17184 2100 ( 6 , 735000 ) 17183 17185 17186 17187 17188 17189 17190 17191 17192 17193 17194 17195 17196 17197 17198 17199 17200 17201 17202 17203 17204 17205 17206 17207 17208 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 ( 4 , 1102500 ) ( 8 , 551250 ) ( 10 , 441000 ) ( 12 , 367500 ) ( 14 , 315000 ) ( 18 , 245000 ) ( 20 , 220500 ) ( 24 , 183750 ) ( 28 , 157500 ) ( 30 , 147000 ) ( 36 , 122500 ) ( 40 , 110250 ) ( 42 , 105000 ) 1102499 551248 367497 275621 220495 183744 157493 122491 110240 1102501 551252 M 367503 220505 M 157507 M 73485 73515 M 61232 55105 52479 61268 55145 52521 7 P 91887 1 M 3 M 15 4 M 5 21 ( 50 , 88200 ) 44075 44125 M 25 ( 60 , 73500 ) 36720 36780 M 60 ( 56 , 78750 ) ( 70 , 63000 ) ( 72 , 61250 ) ( 84 , 52500 ) ( 90 , 49000 ) ( 98 , 45000 ) ( 100 , 44100 ) ( 120 , 36750 ) ( 126 , 35000 ) ( 140 , 31500 ) 39347 31465 30589 26208 24455 22451 22000 18315 17437 15680 39403 31535 30661 26292 24545 22549 22100 18435 17563 15820 M M P M M P M M M M 20 28 M M 5 12 M 122509 78764 1 M 183756 1 3 P 91863 78736 4 M 275629 110260 P 7 35 1 84 5 1 100 15 7 140 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 796 17209 2100 ( 150 , 29400 ) 14625 14775 M 75 17211 2100 ( 180 , 24500 ) 12160 12340 M 20 17210 17212 17213 17214 17215 17216 17217 17218 17219 17220 17221 17222 17223 17224 17225 17226 17227 17228 17229 17230 17231 17232 17233 17234 17235 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 ( 168 , 26250 ) ( 196 , 22500 ) ( 200 , 22050 ) ( 210 , 21000 ) ( 250 , 17640 ) ( 252 , 17500 ) ( 280 , 15750 ) ( 294 , 15000 ) ( 300 , 14700 ) ( 350 , 12600 ) ( 360 , 12250 ) ( 392 , 11250 ) ( 420 , 10500 ) 13041 11152 10925 10395 13209 M 11348 M 11125 10605 8945 M 7735 8015 M 7353 7200 6125 5945 5429 5040 8876 7647 7500 6475 6305 5821 5460 4 M 8695 8624 21 25 M 5 M 28 35 M 3 M 300 M M P M 175 5 1 420 ( 450 , 9800 ) 4675 5125 M 25 ( 500 , 8820 ) 4160 4660 M 20 ( 490 , 9000 ) ( 504 , 8750 ) ( 588 , 7500 ) ( 600 , 7350 ) ( 630 , 7000 ) ( 700 , 6300 ) ( 750 , 5880 ) ( 840 , 5250 ) ( 882 , 5000 ) ( 900 , 4900 ) 4255 4123 3456 3375 3185 2800 2565 2205 2059 2000 4745 4627 4044 3975 3815 3500 3315 3045 2941 2900 M M M M M M M M P M 105 5 7 12 75 35 700 15 105 1 100 797 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17236 2100 ( 980 , 4500 ) 17238 2100 ( 1050 , 4200 ) 17237 17239 17240 17241 17242 17243 17244 17245 17246 17247 17248 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 2100 ( 1000 , 4410 ) ( 1176 , 3750 ) ( 1250 , 3528 ) ( 1260 , 3500 ) ( 1400 , 3150 ) ( 1470 , 3000 ) ( 1500 , 2940 ) ( 1750 , 2520 ) ( 1764 , 2500 ) ( 1800 , 2450 ) ( 1960 , 2250 ) 1760 1705 1575 1287 1139 1120 2740 2705 M M 2625 5 M 2463 525 M 2389 2380 20 3 P 1 M 140 875 2275 M 175 720 2220 M 60 765 385 368 325 145 2235 M 2135 15 M 2132 35 M 2125 4 M 2105 M 25 8 59 5 67 _____________________________________________________________________________ 17249 2101 ( 1 , 4414201 ) 17251 2101 ( 121 , 36481 ) 17250 17252 2101 2101 2207100 ( 11 , 401291 ) 200640 ( 191 , 23111 ) 11460 18180 2207101 200651 18301 11651 P M M 2 P 1 1 2 11 191 4 _____________________________________________________________________________ 17253 2102 ( 2 , 2209202 ) 1104600 1104602 M 0 1 2 1 _____________________________________________________________________________ 17254 2103 ( 1 , 4422609 ) 17256 2103 ( 9 , 491401 ) 17255 2103 ( 3 , 1474203 ) 2211304 737100 245696 2211305 737103 245705 M P P 1 3 1 798 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17257 2103 ( 701 , 6309 ) 2804 3505 M 2 2 701 4 _____________________________________________________________________________ 17258 2104 ( 2 , 2213408 ) 17260 2104 ( 8 , 553352 ) 276672 276680 ( 32 , 138338 ) 69153 69185 17259 17261 17262 17263 17264 2104 2104 2104 2104 2104 ( 4 , 1106704 ) ( 16 , 276676 ) ( 526 , 8416 ) ( 1052 , 4208 ) 1106703 553350 138330 3945 1578 1106705 553354 M 2630 2 M 138346 4471 P P M 1 8 M 1 2 263 M 2 5 526 7 _____________________________________________________________________________ 17265 2105 ( 1 , 4431025 ) 17267 2105 ( 25 , 177241 ) 17266 17268 2105 2105 2215512 ( 5 , 886205 ) 443100 ( 421 , 10525 ) 5052 88608 2215513 443105 88633 5473 M M P P 2 1 2 5 1 421 4 _____________________________________________________________________________ 17269 2106 ( 2 , 2217618 ) 17271 2106 ( 18 , 246402 ) 17270 17272 17273 17274 17275 17276 17277 2106 2106 2106 2106 2106 2106 2106 1108808 1108810 ( 6 , 739206 ) 369600 369606 ( 26 , 170586 ) 85280 85306 ( 54 , 82134 ) ( 78 , 56862 ) ( 162 , 27378 ) ( 234 , 18954 ) ( 338 , 13122 ) 123192 41040 28392 13608 9360 6392 123210 41094 28470 13770 9594 6730 M M M 6 M 18 26 M 54 M M M M 78 162 234 2 2 799 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17278 2106 ( 486 , 9126 ) 17280 2106 ( 1014 , 4374 ) 17279 17281 2106 2106 ( 702 , 6318 ) ( 1458 , 3042 ) 4320 2808 1680 792 4806 M 3510 2694 2250 54 M 702 M M 6 0 13 18 13 _____________________________________________________________________________ 17282 2107 ( 1 , 4439449 ) 17284 2107 ( 43 , 103243 ) 17283 17285 17286 17287 17288 2107 2107 2107 2107 2107 2219724 ( 7 , 634207 ) 317100 ( 49 , 90601 ) 45276 ( 343 , 12943 ) 6300 ( 301 , 14749 ) ( 1849 , 2401 ) 51600 7224 276 2219725 317107 51643 49 M 301 M P 1 43 M 7525 2125 7 M 45325 6643 M P 2 5 1 7 7 _____________________________________________________________________________ 17289 2108 ( 2 , 2221832 ) 17291 2108 ( 8 , 555458 ) 277725 ( 62 , 71672 ) 35805 17290 17292 17293 17294 17295 17296 17297 17298 17299 17300 2108 2108 2108 2108 2108 2108 2108 2108 2108 2108 ( 4 , 1110916 ) ( 34 , 130696 ) ( 68 , 65348 ) ( 124 , 35836 ) ( 136 , 32674 ) ( 248 , 17918 ) ( 578 , 7688 ) ( 1054 , 4216 ) ( 1156 , 3844 ) 1110915 555456 65331 32640 17856 16269 8835 3555 1581 1344 1110917 555460 277733 P 65365 4133 2635 2500 31 M 17980 68 M M P M M 4 17 M 32708 9083 1 M 35867 16405 M P 124 M 1 31 17 527 4 1 800 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17301 2108 ( 1922 , 2312 ) 195 2117 P 4 9 1 13 _____________________________________________________________________________ 17302 2109 ( 1 , 4447881 ) 17304 2109 ( 9 , 494209 ) 247100 247109 ( 37 , 120213 ) 60088 60125 17303 17305 17306 17307 17308 17309 17310 17311 17312 17313 17314 2109 2109 2109 2109 2109 2109 2109 2109 2109 2109 2109 ( 3 , 1482627 ) ( 19 , 234099 ) ( 57 , 78033 ) ( 111 , 40071 ) ( 171 , 26011 ) ( 333 , 13357 ) ( 361 , 12321 ) 2223940 741312 117040 38988 19980 12920 6512 5980 2223941 741315 P 117059 M 39045 20091 6845 M 3515 M ( 1369 , 3249 ) 940 2309 P 2595 3 1 19 37 57 111 M 37 P 2812 1512 M M 13091 6341 1 M ( 703 , 6327 ) ( 1083 , 4107 ) M P 19 1 703 M 4 9 1 3 13 _____________________________________________________________________________ 17315 2110 ( 2 , 2226050 ) 17317 2110 ( 50 , 89042 ) 17316 17318 2110 2110 ( 10 , 445210 ) ( 422 , 10550 ) 1113024 222600 44496 5064 1113026 222610 44546 5486 M M 0 M M 2 4 10 2 422 4 _____________________________________________________________________________ 17319 2111 ( 1 , 4456321 ) 2228160 2228161 1 P 0 1 1 _____________________________________________________________________________ 801 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17320 2112 ( 2 , 2230272 ) 17322 2112 ( 6 , 743424 ) 17321 17323 17324 17325 17326 17327 17328 17329 17330 17331 17332 17333 17334 17335 17336 17337 17338 17339 17340 17341 17342 17343 17344 17345 17346 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 ( 4 , 1115136 ) ( 8 , 557568 ) ( 12 , 371712 ) ( 16 , 278784 ) ( 18 , 247808 ) ( 22 , 202752 ) ( 24 , 185856 ) ( 32 , 139392 ) ( 36 , 123904 ) ( 44 , 101376 ) 1115135 557566 371709 278780 185850 139384 123895 101365 1115137 557570 M 371715 278788 185862 6 M 123913 8 P 101387 M 61934 61970 M 69712 50710 4 M 139400 1 M 11 12 M 16 2 M 22 ( 48 , 92928 ) 46440 46488 M 24 ( 66 , 67584 ) 33759 33825 M 33 ( 64 , 69696 ) ( 72 , 61952 ) ( 88 , 50688 ) ( 96 , 46464 ) ( 128 , 34848 ) ( 132 , 33792 ) ( 144 , 30976 ) ( 176 , 25344 ) ( 192 , 23232 ) ( 198 , 22528 ) ( 242 , 18432 ) ( 256 , 17424 ) ( 264 , 16896 ) 34816 30940 25300 23184 17360 16830 15416 12584 11520 11165 34880 31012 25388 23280 17488 M 48 M 16 M 66 M 12760 8 M 11712 88 M 9337 P 8316 8580 M 8840 44 M 9095 8584 4 M 15560 11363 64 M 16962 M M 1 3 M 92940 50666 2 M 92916 69680 P 192 1 8 11 132 802 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17347 2112 ( 288 , 15488 ) 7600 7888 M 16 17349 2112 ( 384 , 11616 ) 5616 6000 M 48 17348 17350 17351 17352 17353 17354 17355 17356 17357 17358 17359 17360 17361 17362 17363 17364 17365 17366 17367 17368 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 2112 ( 352 , 12672 ) ( 396 , 11264 ) 6160 6512 5434 5830 M 176 M 22 ( 484 , 9216 ) 4366 4850 M 2 ( 528 , 8448 ) 3960 4488 M 264 ( 512 , 8712 ) ( 576 , 7744 ) ( 704 , 6336 ) ( 726 , 6144 ) ( 768 , 5808 ) ( 792 , 5632 ) ( 968 , 4608 ) ( 1024 , 4356 ) ( 1056 , 4224 ) ( 1152 , 3872 ) ( 1408 , 3168 ) ( 1452 , 3072 ) ( 1536 , 2904 ) ( 1584 , 2816 ) ( 1936 , 2304 ) ( 2048 , 2178 ) 4100 4612 3584 M 4160 2816 M 3520 2709 2690 1584 2512 44 M 4 M 2640 1360 24 M 2788 1666 3 M 3212 1820 704 M 3288 2420 64 M 3435 2520 4 2 M 528 M 16 880 2288 M 176 684 2220 M 12 810 2262 616 184 65 2200 2120 2113 M 6 M 88 M P 4 1 8 45 49 _____________________________________________________________________________ 17369 2113 ( 1 , 4464769 ) 2232384 2232385 1 P 0 1 1 _____________________________________________________________________________ 803 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17370 2114 ( 2 , 2234498 ) 17372 2114 ( 98 , 45602 ) 17371 17373 2114 2114 ( 14 , 319214 ) ( 302 , 14798 ) 1117248 159600 22752 7248 1117250 159614 22850 7550 M M M 0 M 14 2 4 2 302 4 _____________________________________________________________________________ 17374 2115 ( 1 , 4473225 ) 17376 2115 ( 5 , 894645 ) 17375 17377 17378 17379 17380 17381 17382 17383 17384 17385 17386 17387 17388 17389 17390 17391 17392 17393 17394 2115 2115 2115 2115 2115 2115 2115 2115 2115 2115 2115 2115 2115 2115 2115 2115 2115 2115 2115 ( 3 , 1491075 ) ( 9 , 497025 ) ( 15 , 298215 ) ( 25 , 178929 ) ( 27 , 165675 ) 2236612 745536 447320 248508 149100 89452 82824 2236613 745539 M 447325 P 3 M 248517 5 M 149115 89477 P 82851 9 M 1 M 49680 49725 M 45 ( 75 , 59643 ) 29784 29859 M 3 ( 81 , 55225 ) ( 135 , 33135 ) ( 141 , 31725 ) ( 225 , 19881 ) ( 235 , 19035 ) ( 405 , 11045 ) ( 423 , 10575 ) ( 675 , 6627 ) ( 705 , 6345 ) ( 1175 , 3807 ) ( 1269 , 3525 ) 47564 27572 16500 15792 47611 5320 5725 5076 2976 2820 1316 1128 1 M 15933 10053 47 P 16635 9828 9400 M 27653 M M 9 15 141 9635 M 235 5499 M 423 3651 3525 2491 2397 M M M M M 15 3 ( 45 , 99405 ) ( 47 , 95175 ) 1 5 3 705 47 141 804 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17395 2115 ( 2025 , 2209 ) 92 2117 P 1 4 18 22 _____________________________________________________________________________ 17396 2116 ( 2 , 2238728 ) 17398 2116 ( 8 , 559682 ) 17397 17399 17400 17401 17402 2116 2116 2116 2116 2116 ( 4 , 1119364 ) ( 46 , 97336 ) ( 92 , 48668 ) ( 184 , 24334 ) ( 1058 , 4232 ) 1119363 559680 279837 48645 24288 12075 1587 1119365 559684 279845 48691 M M 24380 P P 1 23 M 12259 2645 M 4 1 92 M 23 2 529 5 7 _____________________________________________________________________________ 17403 2117 ( 1 , 4481689 ) 17405 2117 ( 73 , 61393 ) 17404 17406 2117 2117 ( 29 , 154541 ) ( 841 , 5329 ) 2240844 77256 30660 2244 2240845 77285 30733 3085 P P M M 2 2 29 1 1 73 4 _____________________________________________________________________________ 17407 2118 ( 2 , 2242962 ) 17409 2118 ( 18 , 249218 ) 17408 17410 2118 2118 1121480 ( 6 , 747654 ) 373824 ( 706 , 6354 ) 2824 124600 1121482 373830 M 124618 3530 M M M 0 4 2 6 706 2 4 _____________________________________________________________________________ 17411 2119 ( 1 , 4490161 ) 17413 2119 ( 163 , 27547 ) 17412 2119 ( 13 , 345397 ) 2245080 172692 13692 2245081 172705 13855 M M P 1 13 163 805 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17414 2119 ( 169 , 26569 ) 13200 13369 P 2 1 2 4 _____________________________________________________________________________ 17415 2120 ( 2 , 2247200 ) 17417 2120 ( 8 , 561800 ) 17416 17418 17419 17420 17421 17422 17423 17424 17425 17426 17427 17428 17429 17430 17431 17432 17433 17434 17435 17436 2120 2120 2120 2120 2120 2120 2120 2120 2120 2120 2120 2120 2120 2120 2120 2120 2120 2120 2120 2120 ( 4 , 1123600 ) ( 10 , 449440 ) ( 16 , 280900 ) ( 20 , 224720 ) ( 32 , 140450 ) ( 40 , 112360 ) ( 50 , 89888 ) ( 80 , 56180 ) ( 100 , 44944 ) ( 106 , 42400 ) ( 160 , 28090 ) ( 200 , 22472 ) ( 212 , 21200 ) ( 400 , 11236 ) ( 424 , 10600 ) 1123599 561798 280896 224715 140442 112350 70209 56160 44919 28050 22422 21147 13965 11136 10494 5418 5088 1123601 561802 280904 224725 70241 P 56200 22522 14125 ( 848 , 5300 ) 2226 3074 M ( 1696 , 2650 ) 477 2650 2173 5 8 M 2 M M 1590 53 M M 106 424 265 P 1 106 M M 40 2 M 11336 10 10 M 4505 ( 1060 , 4240 ) 1 M 21253 3209 1 M 3975 2409 M P 28130 5512 2 M 44969 5818 5 M 112370 1 8 M 140458 10706 2 M ( 530 , 8480 ) ( 800 , 5618 ) M P 4 530 18 53 22 _____________________________________________________________________________ 806 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17437 2121 ( 1 , 4498641 ) 17439 2121 ( 7 , 642663 ) 17438 17440 17441 17442 17443 17444 17445 17446 17447 17448 17449 2121 2121 2121 2121 2121 2121 2121 2121 2121 2121 2121 ( 3 , 1499547 ) ( 9 , 499849 ) ( 21 , 214221 ) ( 49 , 91809 ) ( 63 , 71407 ) ( 101 , 44541 ) ( 147 , 30603 ) ( 303 , 14847 ) ( 441 , 10201 ) ( 707 , 6363 ) ( 909 , 4949 ) 2249320 749772 321328 249920 107100 45880 35672 22220 15228 7272 4880 2828 2020 2249321 749775 M 321335 45929 35735 1 M 22321 7 M 15375 7575 2929 1 M P M M 21 101 3 303 P 1 M M 1 7 P 107121 3535 3 M 249929 5321 P 707 4 9 101 13 _____________________________________________________________________________ 17450 2122 ( 2 , 2251442 ) 1125720 1125722 M 0 1 2 1 _____________________________________________________________________________ 17451 2123 ( 1 , 4507129 ) 17453 2123 ( 121 , 37249 ) 17452 17454 2123 2123 2253564 ( 11 , 409739 ) 204864 ( 193 , 23353 ) 11580 18564 2253565 204875 18685 11773 P M M 2 P 1 1 2 11 193 4 _____________________________________________________________________________ 17455 2124 ( 2 , 2255688 ) 17457 2124 ( 6 , 751896 ) 17456 2124 ( 4 , 1127844 ) 1127843 563920 375945 1127845 563924 375951 M M P 4 3 1 807 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17458 2124 ( 8 , 563922 ) 17460 2124 ( 18 , 250632 ) 17459 17461 17462 17463 17464 17465 17466 17467 17468 17469 17470 17471 17472 17473 17474 17475 17476 2124 2124 2124 2124 2124 2124 2124 2124 2124 2124 2124 2124 2124 2124 2124 2124 2124 ( 12 , 375948 ) ( 24 , 187974 ) ( 36 , 125316 ) ( 54 , 83544 ) ( 72 , 62658 ) ( 108 , 41772 ) ( 118 , 38232 ) ( 162 , 27848 ) ( 216 , 20886 ) ( 236 , 19116 ) ( 324 , 13924 ) ( 354 , 12744 ) 281957 187968 125307 93975 62640 41745 31293 20832 19057 13843 10335 281965 187980 125325 93999 M 62676 41799 31365 19175 M 14005 10551 6195 6549 M 7124 M ( 708 , 6372 ) 2832 3540 M ( 1416 , 3186 ) 885 M 2301 36 12 3 236 4 177 59 P 2655 9 1 M 5015 12 59 P M 1593 9 M 4543 ( 1062 , 4248 ) 3 M 20940 3805 3 M 9676 3157 M M 9440 6800 1 M ( 472 , 9558 ) ( 648 , 6962 ) P 1 708 M M 531 4 18 177 22 _____________________________________________________________________________ 17477 2125 ( 1 , 4515625 ) 17479 2125 ( 17 , 265625 ) 17478 17480 17481 17482 2125 2125 2125 2125 2257812 2257813 ( 5 , 903125 ) 451560 451565 ( 25 , 180625 ) 90300 90325 ( 85 , 53125 ) ( 125 , 36125 ) 132804 26520 18000 132821 26605 18125 M M M M M P 5 1 17 25 85 125 808 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17483 2125 ( 289 , 15625 ) 17485 2125 ( 625 , 7225 ) 17484 17486 2125 2125 ( 425 , 10625 ) ( 1445 , 3125 ) 7668 5100 3300 840 7957 5525 3925 2285 P 1 M 425 M M 25 2 8 5 10 _____________________________________________________________________________ 17487 2126 ( 2 , 2259938 ) 1129968 1129970 M 0 1 2 1 _____________________________________________________________________________ 17488 2127 ( 1 , 4524129 ) 17490 2127 ( 9 , 502681 ) 17489 17491 2127 2127 ( 3 , 1508043 ) ( 709 , 6381 ) 2262064 754020 251336 2836 2262065 754023 251345 3545 M P P M 2 2 709 1 3 1 4 _____________________________________________________________________________ 17492 2128 ( 2 , 2264192 ) 17494 2128 ( 8 , 566048 ) 17493 17495 17496 17497 17498 17499 17500 17501 17502 17503 2128 2128 2128 2128 2128 2128 2128 2128 2128 2128 ( 4 , 1132096 ) ( 14 , 323456 ) ( 16 , 283024 ) ( 28 , 161728 ) ( 32 , 141512 ) ( 38 , 119168 ) 1132095 566046 283020 161721 141504 1132097 566050 M 283028 80878 M 59565 59603 M 70772 7 M 16 14 M 4 19 ( 56 , 80864 ) 40404 40460 M 28 ( 76 , 59584 ) 29754 29830 M 38 ( 64 , 70756 ) ( 98 , 46208 ) 35346 23055 35410 23153 M P 1 4 M 80850 70740 2 M 161735 141520 P 2 1 809 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17504 2128 ( 112 , 40432 ) 20160 20272 M 17506 2128 ( 152 , 29792 ) 14820 14972 M 17505 17507 17508 17509 17510 17511 17512 17513 17514 17515 17516 17517 17518 17519 17520 17521 17522 2128 2128 2128 2128 2128 2128 2128 2128 2128 2128 2128 2128 2128 2128 2128 2128 2128 ( 128 , 35378 ) ( 196 , 23104 ) ( 224 , 20216 ) ( 266 , 17024 ) ( 304 , 14896 ) ( 392 , 11552 ) ( 448 , 10108 ) 17625 11454 17753 10220 7296 7600 8379 5580 4830 P 11650 9996 133 5972 M 4 5278 M 2775 3497 P ( 1064 , 4256 ) ( 1216 , 3724 ) ( 1444 , 3136 ) ( 1568 , 2888 ) ( 1862 , 2432 ) 2079 1596 1254 4028 304 M ( 722 , 6272 ) ( 896 , 5054 ) 28 M M 2496 2 8645 4522 ( 784 , 5776 ) 76 M 3990 3420 1 M ( 532 , 8512 ) ( 608 , 7448 ) 112 14 266 M 3280 76 1 M 2975 2660 2470 16 M 7 M 532 M 38 846 2290 M 2 285 2147 M 19 660 2228 M 4 4 27 31 _____________________________________________________________________________ 17523 2129 ( 1 , 4532641 ) 2266320 2266321 P 1 0 1 1 _____________________________________________________________________________ 17524 2130 ( 2 , 2268450 ) 17526 2130 ( 10 , 453690 ) 17525 2130 ( 6 , 756150 ) 1134224 378072 226840 1134226 378078 226850 M M M 6 10 2 810 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17527 2130 ( 18 , 252050 ) 17529 2130 ( 50 , 90738 ) 17528 17530 17531 17532 17533 17534 17535 17536 2130 2130 2130 2130 2130 2130 2130 2130 ( 30 , 151230 ) ( 90 , 50410 ) ( 142 , 31950 ) ( 150 , 30246 ) ( 426 , 10650 ) ( 450 , 10082 ) ( 710 , 6390 ) ( 1278 , 3550 ) 126016 75600 45344 25160 15904 15048 5112 4816 2840 1136 126034 75630 M 45394 5538 M 30 10 M 15198 2414 2 M 16046 3550 2 M 25250 5266 M 142 M 6 426 M 2 M 710 M 0 13 142 13 _____________________________________________________________________________ 17537 2131 ( 1 , 4541161 ) 2270580 2270581 P 1 0 1 1 _____________________________________________________________________________ 17538 2132 ( 2 , 2272712 ) 17540 2132 ( 8 , 568178 ) 284085 ( 52 , 87412 ) 43680 17539 17541 17542 17543 17544 17545 17546 17547 17548 17549 2132 2132 2132 2132 2132 2132 2132 2132 2132 2132 ( 4 , 1136356 ) ( 26 , 174824 ) ( 82 , 55432 ) ( 104 , 43706 ) ( 164 , 27716 ) ( 328 , 13858 ) ( 338 , 13448 ) ( 676 , 6724 ) ( 1066 , 4264 ) 1136355 568176 87399 27675 21801 13776 6765 6555 3024 1599 1136357 568180 284093 P 87425 6893 3700 2665 52 M 21905 41 M M P M M M 4 13 M 27757 7093 1 M 43732 13940 M P 13 41 164 1 4 533 1 811 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17550 2132 ( 1352 , 3362 ) 1005 2357 P 4 9 1 13 _____________________________________________________________________________ 17551 2133 ( 1 , 4549689 ) 17553 2133 ( 9 , 505521 ) 252756 ( 79 , 57591 ) 28756 28835 ( 237 , 19197 ) 9480 9717 17552 17554 17555 17556 17557 17558 17559 17560 2133 2133 2133 2133 2133 2133 2133 2133 ( 3 , 1516563 ) ( 27 , 168507 ) ( 81 , 56169 ) ( 243 , 18723 ) ( 711 , 6399 ) ( 729 , 6241 ) 2274844 758280 84240 28044 9240 2844 2756 2274845 758283 M 252765 3485 27 M 79 M 9 M 237 M 3 M P 1 9 M 28125 3555 3 M 84267 9483 P 711 2 8 1 10 _____________________________________________________________________________ 17561 2134 ( 2 , 2276978 ) 17563 2134 ( 194 , 23474 ) 17562 17564 2134 2134 1138488 ( 22 , 206998 ) 103488 ( 242 , 18818 ) 9288 11640 1138490 103510 11834 9530 M M M 0 M 4 22 2 2 194 4 _____________________________________________________________________________ 17565 2135 ( 1 , 4558225 ) 17567 2135 ( 7 , 651175 ) 17566 17568 17569 17570 2135 2135 2135 2135 2279112 2279113 ( 5 , 911645 ) 455820 455825 ( 25 , 182329 ) 91152 91177 ( 35 , 130235 ) ( 49 , 93025 ) 325584 65100 46488 325591 65135 46537 M P 5 M P M P 1 1 7 35 1 812 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17571 2135 ( 61 , 74725 ) 37332 37393 17573 2135 ( 245 , 18605 ) 9180 9425 M 5124 5551 M 17572 17574 17575 17576 17577 2135 2135 2135 2135 2135 ( 175 , 26047 ) ( 305 , 14945 ) ( 427 , 10675 ) ( 1225 , 3721 ) ( 1525 , 2989 ) 12936 7320 1248 732 M 13111 7625 2473 2257 61 M 5 M 305 427 P M 7 1 4 9 61 13 _____________________________________________________________________________ 17578 2136 ( 2 , 2281248 ) 17580 2136 ( 6 , 760416 ) 17579 17581 17582 17583 17584 17585 17586 17587 17588 17589 17590 17591 17592 17593 17594 17595 2136 2136 2136 2136 2136 2136 2136 2136 2136 2136 2136 2136 2136 2136 2136 2136 ( 4 , 1140624 ) ( 8 , 570312 ) ( 12 , 380208 ) ( 16 , 285156 ) ( 18 , 253472 ) ( 24 , 190104 ) ( 32 , 142578 ) ( 36 , 126736 ) 1140623 570310 380205 285152 190098 142570 126727 1140625 570314 M 380211 2 M 285160 3 M 190110 8 M 142586 6 M 126745 95040 95064 M 63350 63386 M 71273 P 71305 2 P 1 24 P 1 ( 48 , 95052 ) 47502 47550 M 6 ( 96 , 47526 ) 23715 23811 M 3 ( 72 , 63368 ) ( 144 , 31684 ) ( 178 , 25632 ) ( 288 , 15842 ) ( 356 , 12816 ) ( 534 , 8544 ) 31648 15770 12727 7777 6230 4005 31720 M 15914 12905 8065 6586 4539 8 M P M M M 2 1 2 89 178 267 1 813 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17596 2136 ( 712 , 6408 ) 2848 3560 M 712 17598 2136 ( 1424 , 3204 ) 890 2314 M 178 17597 17599 2136 2136 ( 1068 , 4272 ) ( 1602 , 2848 ) 1602 623 2670 2225 M M 534 4 18 89 22 _____________________________________________________________________________ 17600 2137 ( 1 , 4566769 ) 2283384 2283385 P 1 0 1 1 _____________________________________________________________________________ 17601 2138 ( 2 , 2285522 ) 1142760 1142762 M 0 1 2 1 _____________________________________________________________________________ 17602 2139 ( 1 , 4575321 ) 17604 2139 ( 9 , 508369 ) 254180 254189 ( 31 , 147591 ) 73780 73811 17603 17605 17606 17607 17608 17609 17610 17611 17612 17613 17614 2139 2139 2139 2139 2139 2139 2139 2139 2139 2139 2139 ( 3 , 1525107 ) ( 23 , 198927 ) ( 69 , 66309 ) ( 93 , 49197 ) ( 207 , 22103 ) ( 279 , 16399 ) 2287660 762552 99452 33120 24552 10948 8060 2287661 762555 M P 99475 31 M 69 M M 93 M ( 529 , 8649 ) 4060 4589 P 1 ( 961 , 4761 ) 1900 2861 P 1 ( 713 , 6417 ) ( 1587 , 2883 ) 2852 648 3565 2235 M M 3 1 23 M 24645 8339 1 M 33189 11155 P 31 23 713 4 9 3 13 _____________________________________________________________________________ 814 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17615 2140 ( 2 , 2289800 ) 17617 2140 ( 8 , 572450 ) 17616 17618 17619 17620 17621 17622 17623 17624 17625 17626 17627 2140 2140 2140 2140 2140 2140 2140 2140 2140 2140 2140 ( 4 , 1144900 ) ( 10 , 457960 ) ( 20 , 228980 ) ( 40 , 114490 ) ( 50 , 91592 ) ( 100 , 45796 ) ( 200 , 22898 ) ( 214 , 21400 ) ( 428 , 10700 ) ( 856 , 5350 ) ( 1070 , 4280 ) 1144899 572448 286221 228975 114480 57225 45771 22848 11349 10593 5136 2247 1605 1144901 572452 M 286229 P 228985 57265 M 45821 P 10807 M 5 1 M 11549 2675 M P 22948 3103 1 M 114500 5564 P 4 1 5 20 4 1 M 107 428 M 107 M 4 9 535 13 _____________________________________________________________________________ 17628 2141 ( 1 , 4583881 ) 2291940 2291941 P 1 0 1 1 _____________________________________________________________________________ 17629 2142 ( 2 , 2294082 ) 17631 2142 ( 14 , 327726 ) 17630 17632 17633 17634 17635 17636 17637 2142 2142 2142 2142 2142 2142 2142 ( 6 , 764694 ) ( 18 , 254898 ) ( 34 , 134946 ) ( 42 , 109242 ) ( 54 , 84966 ) ( 98 , 46818 ) ( 102 , 44982 ) 1147040 382344 163856 127440 67456 54600 42456 23360 22440 1147042 382350 M 163870 127458 67490 54642 42510 23458 22542 M 6 M M M M M M 14 M 18 34 6 2 42 102 2 815 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17638 2142 ( 126 , 36414 ) 18144 17640 2142 ( 238 , 19278 ) 9520 9758 M 7344 7650 M 17639 17641 17642 17643 17644 17645 17646 17647 17648 17649 17650 2142 2142 2142 2142 2142 2142 2142 2142 2142 2142 2142 ( 162 , 28322 ) ( 294 , 15606 ) ( 306 , 14994 ) ( 378 , 12138 ) 14080 7656 5880 18270 14242 7950 6258 M 126 M 2 238 M 6 306 M 42 ( 578 , 7938 ) 3680 4258 M 2 ( 882 , 5202 ) 2160 3042 M 18 ( 714 , 6426 ) ( 918 , 4998 ) ( 1134 , 4046 ) ( 1666 , 2754 ) ( 1734 , 2646 ) 2856 2040 1456 544 456 3570 M 2958 2590 2210 2190 714 M 102 M 14 M M 34 0 22 6 22 _____________________________________________________________________________ 17651 2143 ( 1 , 4592449 ) 2296224 2296225 P 1 0 1 1 _____________________________________________________________________________ 17652 2144 ( 2 , 2298368 ) 17654 2144 ( 8 , 574592 ) 287292 287300 ( 32 , 143648 ) 71808 71840 17653 17655 17656 17657 17658 17659 17660 2144 2144 2144 2144 2144 2144 2144 ( 4 , 1149184 ) ( 16 , 287296 ) ( 64 , 71824 ) ( 128 , 35912 ) ( 134 , 34304 ) ( 256 , 17956 ) 1149183 574590 143640 35880 17892 17085 8850 1149185 574594 18020 17219 9106 2 M 143656 35944 M P M 4 M 8 M 8 M M M 2 32 4 67 1 816 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17661 2144 ( 268 , 17152 ) 17663 2144 ( 536 , 8576 ) 17662 17664 2144 2144 ( 512 , 8978 ) ( 1072 , 4288 ) 8442 4233 4020 1608 8710 4745 4556 2680 M P 1 M 134 268 M 2 11 536 13 _____________________________________________________________________________ 17665 2145 ( 1 , 4601025 ) 17667 2145 ( 5 , 920205 ) 17666 17668 17669 17670 17671 17672 17673 17674 17675 17676 17677 17678 17679 17680 17681 17682 17683 17684 17685 2145 2145 2145 2145 2145 2145 2145 2145 2145 2145 2145 2145 2145 2145 2145 2145 2145 2145 2145 ( 3 , 1533675 ) ( 9 , 511225 ) ( 11 , 418275 ) ( 13 , 353925 ) ( 15 , 306735 ) ( 25 , 184041 ) ( 33 , 139425 ) ( 39 , 117975 ) ( 45 , 102245 ) 2300512 766836 460100 255608 209132 176956 153360 2300513 766839 M 460105 209143 M 92033 P 58968 59007 M 51100 69729 51145 1 M 176969 M M M 1 39 5 41855 M 55 ( 75 , 61347 ) 30636 30711 M 3 ( 99 , 46475 ) ( 117 , 39325 ) ( 121 , 38025 ) ( 143 , 32175 ) ( 165 , 27885 ) ( 169 , 27225 ) ( 195 , 23595 ) 23188 19604 18952 16016 13860 13528 11700 35425 23287 19721 19073 16159 14025 13697 11895 M M M P M M P M 15 33 41800 35360 11 13 ( 55 , 83655 ) ( 65 , 70785 ) 1 5 P 92008 69696 3 M 255617 153375 P 65 11 13 1 143 165 1 195 817 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17686 2145 ( 225 , 20449 ) 10112 17688 2145 ( 325 , 14157 ) 6916 17687 17689 17690 17691 17692 17693 17694 17695 17696 17697 17698 17699 17700 17701 17702 17703 17704 2145 2145 2145 2145 2145 2145 2145 2145 2145 2145 2145 2145 2145 2145 2145 2145 2145 ( 275 , 16731 ) ( 363 , 12675 ) ( 429 , 10725 ) 10337 8228 8503 M 6156 6519 M 5148 7241 5577 P 1 11 M 13 3 M 429 ( 495 , 9295 ) 4400 4895 M 55 ( 585 , 7865 ) 3640 4225 M 65 ( 507 , 9075 ) ( 605 , 7605 ) ( 715 , 6435 ) ( 825 , 5577 ) ( 845 , 5445 ) ( 975 , 4719 ) ( 1089 , 4225 ) ( 1287 , 3575 ) ( 1521 , 3025 ) ( 1573 , 2925 ) ( 1815 , 2535 ) ( 1859 , 2475 ) 4284 3500 2860 2376 2300 1872 1568 1144 4791 M 4105 M 3575 3201 715 M 3145 33 M 2847 2657 2431 39 P 1 M P 360 2175 M 2249 5 M 2273 308 5 M 752 676 3 1 M 2167 143 13 15 M 8 32 11 40 _____________________________________________________________________________ 17705 2146 ( 2 , 2302658 ) 17707 2146 ( 74 , 62234 ) 17706 17708 2146 2146 1151328 ( 58 , 79402 ) 39672 ( 1682 , 2738 ) 528 31080 1151330 39730 31154 2210 M M M M 0 4 58 2 2 74 4 _____________________________________________________________________________ 818 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17709 2147 ( 1 , 4609609 ) 17711 2147 ( 113 , 40793 ) 17710 17712 2147 2147 2304804 ( 19 , 242611 ) 121296 ( 361 , 12769 ) 6204 20340 2304805 121315 20453 6565 P M M 2 P 2 1 19 1 113 4 _____________________________________________________________________________ 17713 2148 ( 2 , 2306952 ) 17715 2148 ( 6 , 768984 ) 17714 17716 17717 17718 17719 17720 17721 17722 17723 17724 17725 2148 2148 2148 2148 2148 2148 2148 2148 2148 2148 2148 ( 4 , 1153476 ) ( 8 , 576738 ) ( 12 , 384492 ) ( 18 , 256328 ) ( 24 , 192246 ) ( 36 , 128164 ) 1153475 576736 384489 288365 192240 128155 96111 64064 1153477 576740 M 384495 4 M 288373 1 M 128173 96135 M 64100 P 3 M ( 72 , 64082 ) 32005 ( 716 , 6444 ) 2864 3580 M 716 ( 1432 , 3222 ) 895 2327 M 179 ( 358 , 12888 ) ( 1074 , 4296 ) 6265 1611 6623 2685 1 3 P 192252 32077 P P 1 M 12 1 4 179 M 537 4 9 13 _____________________________________________________________________________ 17726 2149 ( 1 , 4618201 ) 17728 2149 ( 49 , 94249 ) 17727 17729 2149 2149 ( 7 , 659743 ) ( 307 , 15043 ) 2309100 329868 47100 7368 2309101 329875 47149 7675 P M 2 M P 1 2 7 1 307 4 _____________________________________________________________________________ 819 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17730 2150 ( 2 , 2311250 ) 17732 2150 ( 50 , 92450 ) 46200 46250 ( 250 , 18490 ) 9120 9370 M 10 1224 2474 M 2 17731 17733 17734 17735 17736 2150 2150 2150 2150 2150 ( 10 , 462250 ) ( 86 , 53750 ) ( 430 , 10750 ) ( 1250 , 3698 ) 1155624 231120 26832 5160 1155626 231130 26918 M M M 50 M 5590 10 2 86 M 430 0 7 7 _____________________________________________________________________________ 17737 2151 ( 1 , 4626801 ) 17739 2151 ( 9 , 514089 ) 257040 ( 81 , 57121 ) 28520 ( 717 , 6453 ) 2868 17738 17740 17741 17742 17743 2151 2151 2151 2151 2151 ( 3 , 1542267 ) ( 27 , 171363 ) ( 239 , 19359 ) 2313400 771132 85668 9560 2313401 771135 M 257049 3585 P 3 1 M M 1 9 M 28601 3 M 85695 9799 P 239 2 5 717 7 _____________________________________________________________________________ 17744 2152 ( 2 , 2315552 ) 17746 2152 ( 8 , 578888 ) 289440 289448 ( 32 , 144722 ) 72345 72377 17745 17747 17748 17749 17750 2152 2152 2152 2152 2152 ( 4 , 1157776 ) ( 16 , 289444 ) ( 538 , 8608 ) ( 1076 , 4304 ) 1157775 578886 144714 4035 1614 1157777 578890 M 2690 2 M 144730 4573 P M P M 2 1 8 M 1 2 269 5 538 7 _____________________________________________________________________________ 820 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17751 2153 ( 1 , 4635409 ) 2317704 2317705 P 1 0 1 1 _____________________________________________________________________________ 17752 2154 ( 2 , 2319858 ) 17754 2154 ( 18 , 257762 ) 17753 17755 2154 2154 1159928 ( 6 , 773286 ) 386640 ( 718 , 6462 ) 2872 128872 1159930 386646 M 128890 3590 M M M 0 4 2 6 2 718 4 _____________________________________________________________________________ 17756 2155 ( 1 , 4644025 ) 17758 2155 ( 25 , 185761 ) 17757 17759 2155 2155 2322012 ( 5 , 928805 ) 464400 ( 431 , 10775 ) 5172 92868 2322013 464405 92893 5603 M M P P 2 1 2 5 1 431 4 _____________________________________________________________________________ 17760 2156 ( 2 , 2324168 ) 17762 2156 ( 8 , 581042 ) 17761 17763 17764 17765 17766 17767 17768 17769 17770 17771 2156 2156 2156 2156 2156 2156 2156 2156 2156 2156 ( 4 , 1162084 ) ( 14 , 332024 ) ( 22 , 211288 ) ( 28 , 166012 ) ( 44 , 105644 ) 1162083 581040 290517 166005 105633 82992 52800 1162085 581044 M 290525 P 166019 105655 83020 52844 P 1 M M M M 28 44 41475 41531 M 7 ( 98 , 47432 ) 23667 23765 M 49 ( 154 , 30184 ) ( 196 , 23716 ) 26367 15015 11760 26455 15169 11956 M M M 7 11 ( 56 , 83006 ) ( 88 , 52822 ) 4 1 11 77 196 821 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17772 2156 ( 242 , 19208 ) 9483 9725 P 17774 2156 ( 392 , 11858 ) 5733 6125 M 17773 17775 17776 17777 17778 17779 17780 17781 2156 2156 2156 2156 2156 2156 2156 2156 ( 308 , 15092 ) 7392 7700 1 M 308 49 ( 484 , 9604 ) 4560 5044 M 4 ( 686 , 6776 ) 3045 3731 M 7 ( 616 , 7546 ) ( 968 , 4802 ) ( 1078 , 4312 ) ( 1372 , 3388 ) ( 1694 , 2744 ) 3465 1917 1617 1008 525 4081 M 2885 2695 2380 2219 77 P 1 M M M 539 28 4 18 7 22 _____________________________________________________________________________ 17782 2157 ( 1 , 4652649 ) 17784 2157 ( 9 , 516961 ) 17783 17785 2157 2157 ( 3 , 1550883 ) ( 719 , 6471 ) 2326324 775440 258476 2876 2326325 775443 258485 3595 M M P P 2 2 1 719 3 1 4 _____________________________________________________________________________ 17786 2158 ( 2 , 2328482 ) 17788 2158 ( 166 , 28054 ) 17787 17789 2158 2158 1164240 ( 26 , 179114 ) 89544 ( 338 , 13778 ) 6720 13944 1164242 89570 14110 7058 M M M M 0 4 2 26 2 166 4 _____________________________________________________________________________ 17790 2159 ( 1 , 4661281 ) 17792 2159 ( 127 , 36703 ) 17791 2159 ( 17 , 274193 ) 2330640 137088 18288 2330641 137105 18415 M M P 1 17 127 822 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17793 2159 ( 289 , 16129 ) 7920 8209 P 2 2 1 4 _____________________________________________________________________________ 17794 2160 ( 2 , 2332800 ) 17796 2160 ( 6 , 777600 ) 17795 17797 17798 17799 17800 17801 17802 17803 17804 17805 17806 17807 17808 17809 17810 17811 17812 17813 17814 17815 17816 17817 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 ( 4 , 1166400 ) ( 8 , 583200 ) ( 10 , 466560 ) ( 12 , 388800 ) ( 16 , 291600 ) ( 18 , 259200 ) ( 20 , 233280 ) ( 24 , 194400 ) ( 30 , 155520 ) ( 32 , 145800 ) ( 36 , 129600 ) ( 40 , 116640 ) 1166399 583198 388797 291596 233275 194394 145792 129591 116630 1166401 583202 M 388803 233285 129609 72884 72916 M 58300 58340 M 48624 M ( 54 , 86400 ) 43173 43227 M ( 60 , 77760 ) ( 64 , 72900 ) ( 72 , 64800 ) ( 80 , 58320 ) ( 90 , 51840 ) ( 96 , 48600 ) ( 100 , 46656 ) 38850 36418 32364 29120 25875 24252 23278 46681 38910 36482 32436 29200 25965 24348 23378 M 10 12 15 4 M 48576 46631 9 M ( 48 , 97200 ) ( 50 , 93312 ) 16 M M 64818 6 M 97212 64782 5 M 145808 77775 4 M 194406 P M M M M M M M 1 3 M 97188 77745 2 M 291604 116650 P 18 20 48 1 27 30 2 36 80 45 12 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 823 17818 2160 ( 108 , 43200 ) 21546 21654 M 17820 2160 ( 128 , 36450 ) 18161 18289 P 17819 17821 17822 17823 17824 17825 17826 17827 17828 17829 17830 17831 17832 17833 17834 17835 17836 17837 17838 17839 17840 17841 17842 17843 17844 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 ( 120 , 38880 ) ( 144 , 32400 ) ( 150 , 31104 ) ( 160 , 29160 ) ( 162 , 28800 ) ( 180 , 25920 ) ( 192 , 24300 ) ( 200 , 23328 ) ( 216 , 21600 ) ( 240 , 19440 ) ( 270 , 17280 ) ( 288 , 16200 ) ( 300 , 15552 ) ( 320 , 14580 ) ( 324 , 14400 ) ( 360 , 12960 ) ( 384 , 12150 ) ( 400 , 11664 ) ( 432 , 10800 ) ( 450 , 10368 ) 19380 16128 15477 14500 14319 12870 12054 11564 10692 19500 M 16272 14660 13050 11764 8244 M 7038 6300 5883 5632 5184 4959 7362 6660 6267 6032 5616 5409 90 6 M 7956 7450 9 M M 7130 20 M 12246 7926 3 M 9840 7626 144 M 14481 8775 1 M 9600 8505 60 M 15627 10908 54 M M M M M M M M M M 4 108 240 135 36 6 10 18 180 3 16 432 9 ( 480 , 9720 ) 4620 5100 M 60 ( 540 , 8640 ) 4050 4590 M 270 ( 486 , 9600 ) ( 576 , 8100 ) ( 600 , 7776 ) 4557 3762 3588 5043 4338 4188 M M M 3 18 12 824 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17845 2160 ( 640 , 7290 ) 3325 3965 M 5 17847 2160 ( 720 , 6480 ) 2880 3600 M 720 17846 17848 17849 17850 17851 17852 17853 17854 17855 17856 17857 17858 17859 17860 17861 17862 17863 17864 17865 17866 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 2160 ( 648 , 7200 ) ( 800 , 5832 ) ( 810 , 5760 ) ( 864 , 5400 ) ( 900 , 5184 ) ( 960 , 4860 ) ( 972 , 4800 ) ( 1080 , 4320 ) ( 1152 , 4050 ) ( 1200 , 3888 ) ( 1296 , 3600 ) ( 1350 , 3456 ) ( 1440 , 3240 ) ( 1458 , 3200 ) ( 1600 , 2916 ) ( 1620 , 2880 ) ( 1728 , 2700 ) ( 1800 , 2592 ) ( 1920 , 2430 ) ( 1944 , 2400 ) 3276 2516 2475 2268 2142 1950 1914 1620 1449 1344 1152 1053 3924 M 3316 M 3285 3132 2910 2700 2601 2544 2448 2403 255 228 2175 2172 9 M 48 M 144 M M 2196 540 M 2258 396 6 M 658 2214 30 M M 486 18 M 2886 2250 108 M 2340 630 45 M 3042 2329 4 M 900 871 36 27 180 P 1 2 M 90 M 54 M 36 M M 15 4 69 12 73 _____________________________________________________________________________ 17867 2161 ( 1 , 4669921 ) 2334960 2334961 1 P 0 1 1 _____________________________________________________________________________ 825 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17868 2162 ( 2 , 2337122 ) 17870 2162 ( 94 , 49726 ) 17869 17871 2162 2162 ( 46 , 101614 ) ( 1058 , 4418 ) 1168560 50784 24816 1680 1168562 50830 24910 M M M 2738 M 0 4 2 46 2 94 4 _____________________________________________________________________________ 17872 2163 ( 1 , 4678569 ) 17874 2163 ( 7 , 668367 ) 17873 17875 17876 17877 17878 17879 17880 17881 17882 17883 17884 2163 2163 2163 2163 2163 2163 2163 2163 2163 2163 2163 ( 3 , 1559523 ) ( 9 , 519841 ) ( 21 , 222789 ) ( 49 , 95481 ) ( 63 , 74263 ) ( 103 , 45423 ) ( 147 , 31827 ) ( 309 , 15141 ) ( 441 , 10609 ) ( 721 , 6489 ) ( 927 , 5047 ) 2339284 779760 334180 259916 111384 47716 37100 22660 15840 7416 5084 2884 2060 2339285 779763 M 334187 47765 37163 1 M 22763 7 M 15987 7725 2987 1 M P M M 21 103 3 309 P 1 M M 1 7 P 111405 3605 3 M 259925 5525 P 721 4 9 103 13 _____________________________________________________________________________ 17885 2164 ( 2 , 2341448 ) 17887 2164 ( 8 , 585362 ) 17886 17888 2164 2164 ( 4 , 1170724 ) ( 1082 , 4328 ) 1170723 585360 292677 1623 1170725 585364 292685 2705 M M 2 P P 1 2 4 1 541 4 _____________________________________________________________________________ 826 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17889 2165 ( 1 , 4687225 ) 17891 2165 ( 25 , 187489 ) 17890 17892 2165 2165 2343612 ( 5 , 937445 ) 468720 ( 433 , 10825 ) 5196 93732 2343613 468725 93757 5629 M M P P 2 1 2 5 1 433 4 _____________________________________________________________________________ 17893 2166 ( 2 , 2345778 ) 17895 2166 ( 18 , 260642 ) 17894 17896 17897 17898 17899 2166 2166 2166 2166 2166 1172888 1172890 ( 6 , 781926 ) 390960 390966 ( 38 , 123462 ) 61712 61750 ( 114 , 41154 ) ( 342 , 13718 ) ( 722 , 6498 ) 130312 20520 6688 2888 M 130330 20634 7030 3610 M M M M 6 M 2 38 M 38 0 2 7 114 722 7 _____________________________________________________________________________ 17900 2167 ( 1 , 4695889 ) 17902 2167 ( 121 , 38809 ) 17901 17903 2167 2167 2347944 ( 11 , 426899 ) 213444 ( 197 , 23837 ) 11820 19344 2347945 213455 19465 12017 P M M 2 P 1 1 2 11 197 4 _____________________________________________________________________________ 17904 2168 ( 2 , 2350112 ) 17906 2168 ( 8 , 587528 ) 293760 293768 ( 32 , 146882 ) 73425 73457 17905 17907 17908 17909 2168 2168 2168 2168 ( 4 , 1175056 ) ( 16 , 293764 ) ( 542 , 8672 ) 1175055 587526 146874 4065 1175057 587530 146890 4607 M M P 2 M P M 8 1 271 2 1 827 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17910 2168 ( 1084 , 4336 ) 1626 2710 M 2 5 542 7 _____________________________________________________________________________ 17911 2169 ( 1 , 4704561 ) 17913 2169 ( 9 , 522729 ) 261360 ( 81 , 58081 ) 29000 ( 723 , 6507 ) 2892 17912 17914 17915 17916 17917 2169 2169 2169 2169 2169 ( 3 , 1568187 ) ( 27 , 174243 ) ( 241 , 19521 ) 2352280 784092 87108 9640 2352281 784095 M 261369 P 1 M M 1 9 M 29081 3615 3 M 87135 9881 P 3 241 2 5 723 7 _____________________________________________________________________________ 17918 2170 ( 2 , 2354450 ) 17920 2170 ( 14 , 336350 ) 17919 17921 17922 17923 17924 17925 17926 17927 17928 17929 17930 2170 2170 2170 2170 2170 2170 2170 2170 2170 2170 2170 ( 10 , 470890 ) 1177224 235440 168168 1177226 235450 168182 M ( 50 , 94178 ) 47064 47114 M ( 70 , 67270 ) 33600 33670 M ( 62 , 75950 ) ( 98 , 48050 ) ( 310 , 15190 ) ( 350 , 13454 ) ( 434 , 10850 ) 37944 23976 38006 24074 10 M 2 M 62 70 M 2 7750 M 310 5208 5642 M 434 6552 6902 4560 5050 ( 1922 , 2450 ) 264 2186 744 2294 2 14 7440 ( 490 , 9610 ) ( 1550 , 3038 ) M M 14 M 10 M 2 M 62 0 13 13 _____________________________________________________________________________ 828 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17931 2171 ( 1 , 4713241 ) 17933 2171 ( 167 , 28223 ) 17932 17934 2171 2171 2356620 ( 13 , 362557 ) 181272 ( 169 , 27889 ) 13860 14028 2356621 181285 14195 M 14029 M P 2 P 1 13 167 1 2 4 _____________________________________________________________________________ 17935 2172 ( 2 , 2358792 ) 17937 2172 ( 6 , 786264 ) 17936 17938 17939 17940 17941 17942 17943 17944 17945 17946 17947 2172 2172 2172 2172 2172 2172 2172 2172 2172 2172 2172 ( 4 , 1179396 ) ( 8 , 589698 ) ( 12 , 393132 ) ( 18 , 262088 ) ( 24 , 196566 ) ( 36 , 131044 ) 1179395 589696 393129 294845 196560 131035 98271 65504 1179397 589700 M 393135 4 M 294853 1 M 131053 98295 M 65540 P 3 M ( 72 , 65522 ) 32725 ( 724 , 6516 ) 2896 3620 M 724 ( 1448 , 3258 ) 905 2353 M 181 ( 362 , 13032 ) ( 1086 , 4344 ) 6335 1629 6697 2715 1 3 P 196572 32797 P P 1 M 12 1 4 181 M 543 4 9 13 _____________________________________________________________________________ 17948 2173 ( 1 , 4721929 ) 17950 2173 ( 53 , 89093 ) 17949 17951 2173 2173 ( 41 , 115169 ) ( 1681 , 2809 ) 2360964 57564 44520 564 2360965 57605 44573 2245 P M P M 2 2 41 1 1 53 4 _____________________________________________________________________________ 829 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17952 2174 ( 2 , 2363138 ) 1181568 1181570 M 0 1 2 1 _____________________________________________________________________________ 17953 2175 ( 1 , 4730625 ) 17955 2175 ( 5 , 946125 ) 17954 17956 17957 17958 17959 17960 17961 17962 17963 17964 17965 17966 17967 17968 17969 17970 17971 17972 17973 17974 2175 2175 2175 2175 2175 2175 2175 2175 2175 2175 2175 2175 2175 2175 2175 2175 2175 2175 2175 2175 ( 3 , 1576875 ) ( 9 , 525625 ) ( 15 , 315375 ) ( 25 , 189225 ) ( 29 , 163125 ) ( 45 , 105125 ) ( 75 , 63075 ) ( 87 , 54375 ) ( 125 , 37845 ) ( 145 , 32625 ) ( 225 , 21025 ) ( 261 , 18125 ) ( 375 , 12615 ) ( 435 , 10875 ) 2365312 788436 473060 262808 157680 2365313 788439 M 473065 262817 157695 M 52540 52585 M 27144 18860 16240 10400 81577 18985 5 75 87 5 M 9193 M 5220 5655 M 6495 29 M 16385 145 M 29 M 3472 4097 P 1 ( 841 , 5625 ) 2392 3233 P 1 ( 1125 , 4205 ) ( 1305 , 3625 ) ( 1875 , 2523 ) 2900 1540 1160 324 3625 2665 2465 2199 M 435 725 M M M 25 15 ( 625 , 7569 ) ( 725 , 6525 ) 15 25 M 8932 6120 M M 27231 10625 1 M 31575 1 5 P 94625 31500 3 M 94600 81548 P 4 5 145 18 3 22 _____________________________________________________________________________ 830 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17975 2176 ( 2 , 2367488 ) 17977 2176 ( 8 , 591872 ) 295932 295940 ( 32 , 147968 ) 73968 74000 17976 17978 17979 17980 17981 17982 17983 17984 17985 17986 17987 17988 17989 17990 17991 17992 17993 2176 2176 2176 2176 2176 2176 2176 2176 2176 2176 2176 2176 2176 2176 2176 2176 2176 ( 4 , 1183744 ) ( 16 , 295936 ) ( 34 , 139264 ) ( 64 , 73984 ) ( 68 , 69632 ) ( 128 , 36992 ) ( 136 , 34816 ) ( 256 , 18496 ) ( 272 , 17408 ) 1183743 591870 147960 69615 36960 34782 18432 17340 9120 8568 1183745 591874 147976 M 69649 8840 M M ( 578 , 8192 ) 3807 4385 P ( 1024 , 4624 ) ( 1088 , 4352 ) ( 1156 , 4096 ) ( 2048 , 2312 ) 1800 1632 1470 132 17 32 34 128 M 32 M 4880 4624 16 M 4368 4080 8 M 18560 9376 M M 34850 2720 2626 2180 68 136 16 M 2824 1 4 M 37024 17476 2 M ( 512 , 9248 ) ( 544 , 8704 ) M P 272 1 M M 544 M M 8 2 2 17 4 19 _____________________________________________________________________________ 17994 2177 ( 1 , 4739329 ) 17996 2177 ( 49 , 96721 ) 17995 17997 2177 2177 ( 7 , 677047 ) ( 311 , 15239 ) 2369664 338520 48336 7464 2369665 338527 48385 7775 P M 2 M P 1 2 7 1 311 4 _____________________________________________________________________________ 831 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 17998 2178 ( 2 , 2371842 ) 18000 2178 ( 18 , 263538 ) 17999 18001 18002 18003 18004 18005 18006 18007 18008 18009 2178 2178 2178 2178 2178 2178 2178 2178 2178 2178 ( 6 , 790614 ) ( 22 , 215622 ) ( 54 , 87846 ) ( 66 , 71874 ) ( 162 , 29282 ) ( 198 , 23958 ) ( 242 , 19602 ) 1185920 395304 131760 107800 43896 35904 14560 11880 9680 1185922 395310 M 131778 43950 35970 18 M M 66 M 12078 M 2 M 198 242 ( 594 , 7986 ) 3696 4290 M 66 ( 1782 , 2662 ) 440 2222 M 22 ( 726 , 6534 ) 2904 3630 22 6 M 14722 2 6 M 107822 9922 M M 726 0 12 12 _____________________________________________________________________________ 18010 2179 ( 1 , 4748041 ) 2374020 2374021 P 1 0 1 1 _____________________________________________________________________________ 18011 2180 ( 2 , 2376200 ) 18013 2180 ( 8 , 594050 ) 18012 18014 18015 18016 18017 18018 18019 18020 2180 2180 2180 2180 2180 2180 2180 2180 ( 4 , 1188100 ) ( 10 , 475240 ) ( 20 , 237620 ) ( 40 , 118810 ) ( 50 , 95048 ) ( 100 , 47524 ) ( 200 , 23762 ) ( 218 , 21800 ) 1188099 594048 297021 237615 118800 59385 47499 23712 11781 10791 1188101 594052 M 297029 P 237625 118820 59425 47549 23812 11981 11009 P 1 M M P M P M M 1 5 4 5 20 4 1 1 109 832 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18021 2180 ( 436 , 10900 ) 18023 2180 ( 1090 , 4360 ) 18022 2180 ( 872 , 5450 ) 5232 2289 1635 5668 3161 2725 M 436 M 109 M 4 9 545 13 _____________________________________________________________________________ 18024 2181 ( 1 , 4756761 ) 18026 2181 ( 9 , 528529 ) 18025 18027 2181 2181 ( 3 , 1585587 ) ( 727 , 6543 ) 2378380 792792 264260 2908 2378381 792795 264269 3635 M P P M 2 2 1 727 3 1 4 _____________________________________________________________________________ 18028 2182 ( 2 , 2380562 ) 1190280 1190282 M 0 1 2 1 _____________________________________________________________________________ 18029 2183 ( 1 , 4765489 ) 18031 2183 ( 59 , 80771 ) 18030 18032 2183 2183 ( 37 , 128797 ) ( 1369 , 3481 ) 2382744 64380 40356 1056 2382745 64417 40415 2425 P M M P 2 2 37 1 1 59 4 _____________________________________________________________________________ 18033 2184 ( 2 , 2384928 ) 18035 2184 ( 6 , 794976 ) 18034 18036 18037 18038 18039 2184 2184 2184 2184 2184 ( 4 , 1192464 ) ( 8 , 596232 ) ( 12 , 397488 ) ( 14 , 340704 ) ( 16 , 298116 ) 1192463 596230 397485 298112 198738 170345 149050 1192465 596234 397491 298120 198750 170359 149066 M M M M M M P 2 3 8 6 7 2 1 833 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18040 2184 ( 18 , 264992 ) 132487 18042 2184 ( 26 , 183456 ) 91715 18041 18043 18044 18045 18046 18047 18048 18049 18050 18051 18052 18053 18054 18055 18056 18057 18058 18059 18060 18061 18062 18063 18064 18065 18066 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 ( 24 , 198744 ) ( 28 , 170352 ) ( 32 , 149058 ) ( 36 , 132496 ) ( 42 , 113568 ) 132505 99360 99384 M 85162 85190 M 74513 66230 56763 91741 1 24 M 74545 13 14 P 66266 56805 P 1 M M 2 21 ( 48 , 99372 ) 49662 49710 M 6 ( 56 , 85176 ) 42560 42616 M 56 ( 52 , 91728 ) ( 72 , 66248 ) ( 78 , 61152 ) ( 84 , 56784 ) ( 96 , 49686 ) ( 98 , 48672 ) ( 104 , 45864 ) ( 112 , 42588 ) ( 126 , 37856 ) ( 144 , 33124 ) ( 156 , 30576 ) ( 168 , 28392 ) ( 182 , 26208 ) ( 196 , 24336 ) ( 208 , 22932 ) ( 224 , 21294 ) ( 234 , 20384 ) ( 252 , 18928 ) 45838 33088 30537 28350 24795 24287 22880 21238 18865 16490 15210 14112 13013 12070 11362 10535 10075 9338 45890 33160 30615 28434 24891 24385 22984 M M M M M P M 21350 39 42 3 1 7 M 15366 2 M 14280 78 M 13195 168 M 12266 91 M 11570 2 M 10759 26 M M M 104 14 M 16634 9590 8 M 18991 10309 26 7 14 13 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18067 2184 ( 288 , 16562 ) 8137 8425 P 18069 2184 ( 312 , 15288 ) 7488 7800 M 18068 18070 18071 18072 18073 18074 18075 18076 18077 18078 18079 18080 18081 18082 18083 18084 18085 18086 18087 18088 18089 18090 18091 18092 18093 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 2184 ( 294 , 16224 ) ( 336 , 14196 ) ( 338 , 14112 ) ( 364 , 13104 ) ( 392 , 12168 ) ( 416 , 11466 ) ( 468 , 10192 ) 7965 6930 6887 6370 5888 5525 4862 8259 7266 7225 6734 6280 5941 5330 M M P M 834 1 3 312 42 1 182 M 8 M M 13 26 ( 504 , 9464 ) 4480 4984 M 56 ( 588 , 8112 ) 3762 4350 M 6 ( 546 , 8736 ) ( 624 , 7644 ) ( 672 , 7098 ) ( 676 , 7056 ) ( 728 , 6552 ) ( 784 , 6084 ) ( 882 , 5408 ) ( 936 , 5096 ) ( 1008 , 4732 ) ( 1014 , 4704 ) ( 1092 , 4368 ) ( 1176 , 4056 ) ( 1248 , 3822 ) ( 1274 , 3744 ) ( 1352 , 3528 ) ( 1456 , 3276 ) 4095 3510 3213 3190 2912 2650 2263 2080 1862 1845 1638 1440 1287 1235 1088 910 4641 4134 3885 3866 3640 3434 3145 3016 2870 2859 2730 2616 2535 2509 2440 2366 M M M M M M P M M M M M M M M M 273 78 21 2 728 2 1 104 14 3 546 24 39 13 8 182 835 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18094 2184 ( 1568 , 3042 ) 737 2305 P 18096 2184 ( 1764 , 2704 ) 470 2234 M 18095 18097 18098 18099 2184 2184 2184 2184 ( 1638 , 2912 ) ( 1872 , 2548 ) ( 2016 , 2366 ) ( 2028 , 2352 ) 637 338 175 162 2275 1 M 2210 91 2 M 2191 26 M 2190 7 M 8 59 6 67 _____________________________________________________________________________ 18100 2185 ( 1 , 4774225 ) 18102 2185 ( 19 , 251275 ) 18101 18103 18104 18105 18106 18107 18108 18109 18110 18111 18112 2185 2185 2185 2185 2185 2185 2185 2185 2185 2185 2185 ( 5 , 954845 ) ( 23 , 207575 ) ( 25 , 190969 ) 2387112 477420 125628 103776 95472 2387113 477425 M 125647 103799 95497 P 25080 25175 ( 361 , 13225 ) 6432 6793 P 4788 5263 M ( 437 , 10925 ) ( 475 , 10051 ) 20700 5244 20815 5681 4777 P ( 1805 , 2645 ) 420 2225 M 3864 4439 M 1 23 95 M 115 1 M 4248 1 19 M ( 529 , 9025 ) ( 575 , 8303 ) 5 M ( 95 , 50255 ) ( 115 , 41515 ) P 437 1 M 19 23 4 9 5 13 _____________________________________________________________________________ 18113 2186 ( 2 , 2389298 ) 1194648 1194650 0 M 1 1 2 _____________________________________________________________________________ 18114 2187 ( 1 , 4782969 ) 2391484 2391485 P 1 836 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18115 2187 ( 3 , 1594323 ) 18117 2187 ( 27 , 177147 ) 18116 18118 18119 18120 2187 2187 2187 2187 797160 ( 9 , 531441 ) 265716 ( 81 , 59049 ) 29484 ( 729 , 6561 ) 2916 ( 243 , 19683 ) 88560 9720 797163 M 265725 M 88587 3645 9 M 29565 9963 3 27 M 81 M M 243 1 6 729 7 _____________________________________________________________________________ 18121 2188 ( 2 , 2393672 ) 18123 2188 ( 8 , 598418 ) 18122 18124 2188 2188 ( 4 , 1196836 ) ( 1094 , 4376 ) 1196835 598416 299205 1641 1196837 598420 299213 2735 M P P M 2 1 2 4 1 547 4 _____________________________________________________________________________ 18125 2189 ( 1 , 4791721 ) 18127 2189 ( 121 , 39601 ) 18126 18128 2189 2189 2395860 ( 11 , 435611 ) 217800 ( 199 , 24079 ) 11940 19740 2395861 217811 19861 P 12139 M M 2 P 1 1 2 11 199 4 _____________________________________________________________________________ 18129 2190 ( 2 , 2398050 ) 18131 2190 ( 10 , 479610 ) 18130 18132 18133 18134 18135 2190 2190 2190 2190 2190 ( 6 , 799350 ) ( 18 , 266450 ) ( 30 , 159870 ) ( 50 , 95922 ) ( 90 , 53290 ) 1199024 399672 239800 133216 79920 47936 26600 1199026 399678 M 239810 133234 79950 47986 26690 M 6 M M M M 10 M 2 2 30 10 2 837 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18136 2190 ( 146 , 32850 ) 16352 18138 2190 ( 438 , 10950 ) 5256 18137 18139 18140 18141 2190 2190 2190 2190 ( 150 , 31974 ) ( 450 , 10658 ) ( 730 , 6570 ) ( 1314 , 3650 ) 15912 5104 2920 1168 16498 16062 5694 5554 3650 2482 M M 146 M 6 438 M 2 M 730 M 0 13 146 13 _____________________________________________________________________________ 18142 2191 ( 1 , 4800481 ) 18144 2191 ( 49 , 97969 ) 18143 18145 2191 2191 ( 7 , 685783 ) ( 313 , 15337 ) 2400240 342888 48960 7512 2400241 342895 49009 P 7825 M M 2 P 7 1 2 1 313 4 _____________________________________________________________________________ 18146 2192 ( 2 , 2402432 ) 18148 2192 ( 8 , 600608 ) 300300 300308 ( 32 , 150152 ) 75060 75092 18147 18149 18150 18151 18152 18153 18154 18155 2192 2192 2192 2192 2192 2192 2192 2192 ( 4 , 1201216 ) ( 16 , 300304 ) 1201215 600606 150144 1201217 600610 37506 37570 ( 274 , 17536 ) 8631 8905 ( 548 , 8768 ) ( 1096 , 4384 ) 18705 4110 1644 18833 4658 2740 2 M 150160 ( 64 , 75076 ) ( 128 , 37538 ) M P M 4 M M M 2 P 2 4 16 1 137 M M 1 274 8 548 10 _____________________________________________________________________________ 18156 2193 ( 1 , 4809249 ) 2404624 2404625 P 1 838 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18157 2193 ( 3 , 1603083 ) 18159 2193 ( 17 , 282897 ) 18158 18160 18161 18162 18163 18164 18165 18166 18167 18168 2193 2193 2193 2193 2193 2193 2193 2193 2193 2193 801540 801543 ( 9 , 534361 ) 267176 267185 ( 43 , 111843 ) 55900 55943 ( 51 , 94299 ) ( 129 , 37281 ) ( 153 , 31433 ) ( 289 , 16641 ) ( 387 , 12427 ) 141440 47124 18576 15640 8176 6020 P 141457 M 47175 18705 8465 M ( 1849 , 2601 ) 376 2225 P 3207 17 51 129 17 1 M 3655 3 43 M P 2924 2340 M M 15793 6407 1 M ( 731 , 6579 ) ( 867 , 5547 ) M 43 731 M 3 4 9 1 13 _____________________________________________________________________________ 18169 2194 ( 2 , 2406818 ) 1203408 1203410 M 0 1 2 1 _____________________________________________________________________________ 18170 2195 ( 1 , 4818025 ) 18172 2195 ( 25 , 192721 ) 18171 18173 2195 2195 2409012 ( 5 , 963605 ) 481800 ( 439 , 10975 ) 5268 96348 2409013 481805 96373 5707 M M P P 2 1 2 5 1 439 4 _____________________________________________________________________________ 18174 2196 ( 2 , 2411208 ) 18176 2196 ( 6 , 803736 ) 18175 18177 2196 2196 ( 4 , 1205604 ) ( 8 , 602802 ) 1205603 602800 401865 301397 1205605 602804 401871 301405 M M P P 4 3 1 1 839 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18178 2196 ( 12 , 401868 ) 200928 200940 M 12 18180 2196 ( 24 , 200934 ) 100455 100479 M 3 18179 18181 18182 18183 18184 18185 18186 18187 18188 18189 18190 18191 18192 18193 18194 18195 2196 2196 2196 2196 2196 2196 2196 2196 2196 2196 2196 2196 2196 2196 2196 2196 ( 18 , 267912 ) ( 36 , 133956 ) ( 54 , 89304 ) ( 72 , 66978 ) ( 108 , 44652 ) ( 122 , 39528 ) ( 162 , 29768 ) ( 216 , 22326 ) ( 244 , 19764 ) ( 324 , 14884 ) ( 366 , 13176 ) 133947 66960 44625 33453 22272 19703 14803 11055 133965 66996 M 44679 M 14965 M 5185 M ( 732 , 6588 ) 2928 3660 M ( 1098 , 4392 ) ( 1464 , 3294 ) 3397 1647 915 4045 4 M 4697 ( 648 , 7442 ) 3 M ( 488 , 9882 ) 2379 61 1 732 M M 244 183 P 2745 12 1 M 7604 36 61 P 11271 6771 9 M 19825 6405 3 M 22380 10004 9 M 33525 9760 7280 M 549 4 18 183 22 _____________________________________________________________________________ 18196 2197 ( 1 , 4826809 ) 18198 2197 ( 169 , 28561 ) 18197 2197 ( 13 , 371293 ) 2413404 185640 14196 2413405 185653 14365 M M 1 P 2 1 13 169 3 _____________________________________________________________________________ 18199 18200 2198 2198 ( 2 , 2415602 ) ( 14 , 345086 ) 1207800 172536 1207802 172550 M M 14 2 840 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18201 18202 2198 2198 ( 98 , 49298 ) ( 314 , 15386 ) 24600 7536 24698 M 7850 2 M 0 4 314 4 _____________________________________________________________________________ 18203 2199 ( 1 , 4835601 ) 18205 2199 ( 9 , 537289 ) 18204 18206 2199 2199 ( 3 , 1611867 ) ( 733 , 6597 ) 2417800 805932 268640 2932 2417801 805935 268649 3665 M P P M 2 2 733 1 3 1 4 _____________________________________________________________________________ 18207 2200 ( 2 , 2420000 ) 18209 2200 ( 8 , 605000 ) 18208 18210 18211 18212 18213 18214 18215 18216 18217 18218 18219 18220 18221 18222 18223 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 ( 4 , 1210000 ) ( 10 , 484000 ) ( 16 , 302500 ) ( 20 , 242000 ) ( 22 , 220000 ) ( 32 , 151250 ) ( 40 , 121000 ) ( 44 , 110000 ) 1209999 604998 302496 241995 151242 120990 109989 1210001 605002 M 302504 151258 2 M 75641 P 54978 55022 M 60520 5 M 121010 M M 10 1 22 48375 48425 M 25 ( 88 , 55000 ) 27456 27544 M 88 ( 100 , 48400 ) ( 110 , 44000 ) ( 160 , 30250 ) ( 176 , 27500 ) 30210 24150 21945 15045 13662 30290 24250 22055 15205 13838 M M M M M 11 40 ( 50 , 96800 ) ( 80 , 60500 ) 1 8 M 75609 60480 2 M 242005 110011 P 10 50 55 5 22 841 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18224 2200 ( 200 , 24200 ) 12000 18226 2200 ( 242 , 20000 ) 9879 10121 6699 7051 18225 18227 18228 18229 18230 18231 18232 18233 18234 18235 18236 18237 18238 18239 18240 18241 18242 18243 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 2200 ( 220 , 22000 ) ( 250 , 19360 ) ( 352 , 13750 ) ( 400 , 12100 ) ( 440 , 11000 ) ( 484 , 10000 ) 10890 9555 5850 5280 4758 12200 11110 M 200 M P 1 9805 M 5 6250 M 50 5720 5242 M 11 M 440 M 2 ( 500 , 9680 ) 4590 5090 M 10 ( 800 , 6050 ) 2625 3425 M 25 ( 550 , 8800 ) ( 880 , 5500 ) ( 968 , 5000 ) ( 1000 , 4840 ) ( 1100 , 4400 ) ( 1210 , 4000 ) ( 1250 , 3872 ) ( 1760 , 2750 ) ( 1936 , 2500 ) ( 2000 , 2420 ) 4125 2310 2016 1920 1650 1395 1311 4675 M 3190 275 M 2984 2920 2750 2605 2561 110 M 8 M 40 M 550 M 5 P 1 495 2255 M 55 210 2210 M 10 282 2218 110 M 2 4 33 37 _____________________________________________________________________________ 18244 2201 ( 1 , 4844401 ) 18246 2201 ( 71 , 68231 ) 18245 18247 2201 2201 ( 31 , 156271 ) ( 961 , 5041 ) 2422200 78120 34080 2040 2422201 78151 34151 3001 P M P M 2 2 31 1 71 4 1 842 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 18248 2202 ( 2 , 2424402 ) 18250 2202 ( 18 , 269378 ) 18249 18251 2202 2202 1212200 ( 6 , 808134 ) 404064 ( 734 , 6606 ) 2936 134680 1212202 404070 M 134698 3670 M M M 0 4 6 2 2 734 4 _____________________________________________________________________________ 18252 2203 ( 1 , 4853209 ) 2426604 2426605 P 1 0 1 1 _____________________________________________________________________________ 18253 2204 ( 2 , 2428808 ) 18255 2204 ( 8 , 607202 ) 303597 ( 58 , 83752 ) 41847 18254 18256 18257 18258 18259 18260 18261 18262 18263 18264 18265 2204 2204 2204 2204 2204 2204 2204 2204 2204 2204 2204 ( 4 , 1214404 ) ( 38 , 127832 ) ( 76 , 63916 ) ( 116 , 41876 ) ( 152 , 31958 ) ( 232 , 20938 ) 1214403 607200 63897 31920 20880 15903 10353 1214405 607204 303605 P 63935 41905 16055 P ( 1444 , 3364 ) 960 2404 M ( 1682 , 2888 ) 603 2285 116 M 3725 2755 76 M 3003 1653 29 M 20996 19 M 1 M P 4 1 19 M 31996 10585 1 M ( 722 , 6728 ) ( 1102 , 4408 ) M P 29 551 4 4 9 1 13 _____________________________________________________________________________ 18266 18267 2205 2205 ( 1 , 4862025 ) ( 3 , 1620675 ) 2431012 810336 2431013 810339 M P 3 1 843 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18268 2205 ( 5 , 972405 ) 486200 486205 M 5 18270 2205 ( 9 , 540225 ) 270108 270117 M 9 18269 18271 18272 18273 18274 18275 18276 18277 18278 18279 18280 18281 18282 18283 18284 18285 18286 18287 18288 18289 18290 18291 18292 18293 18294 2205 2205 2205 2205 2205 2205 2205 2205 2205 2205 2205 2205 2205 2205 2205 2205 2205 2205 2205 2205 2205 2205 2205 2205 2205 ( 7 , 694575 ) ( 15 , 324135 ) ( 21 , 231525 ) ( 25 , 194481 ) ( 27 , 180075 ) ( 35 , 138915 ) ( 45 , 108045 ) 347284 162060 115752 347291 M 162075 M 115773 97228 97253 P 69440 69475 M 90024 54000 7 90051 15 M 1 M 54045 3 35 M 45 ( 49 , 99225 ) 49588 49637 M 49 ( 75 , 64827 ) 32376 32451 M 3 ( 63 , 77175 ) ( 81 , 60025 ) ( 105 , 46305 ) ( 135 , 36015 ) ( 147 , 33075 ) ( 175 , 27783 ) ( 189 , 25725 ) ( 225 , 21609 ) ( 245 , 19845 ) ( 315 , 15435 ) ( 343 , 14175 ) ( 405 , 12005 ) ( 441 , 11025 ) 38556 29972 23100 17940 16464 13804 12768 10692 38619 5292 147 M 12957 7 M 10917 21 M M 9 245 7875 M 315 6205 M 5 5733 M M 7 441 ( 525 , 9261 ) 4368 4893 M 21 ( 675 , 7203 ) 3264 3939 M 3 ( 567 , 8575 ) 4004 105 15 M 13979 7259 5800 M 16611 6916 1 M 18075 10045 63 P 23205 9800 7560 M 30053 4571 M 21 7 844 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18295 2205 ( 735 , 6615 ) 18297 2205 ( 1029 , 4725 ) 18296 18298 18299 18300 18301 18302 2205 2205 2205 2205 2205 2205 ( 945 , 5145 ) ( 1225 , 3969 ) ( 1323 , 3675 ) ( 1575 , 3087 ) ( 1715 , 2835 ) ( 2025 , 2401 ) 2940 2100 1848 1372 1176 3675 M 3045 2877 M 49 M 2331 M 188 2213 P 2275 21 M 756 560 105 M 2597 2499 735 147 63 M 35 4 33 1 37 _____________________________________________________________________________ 18303 2206 ( 2 , 2433218 ) 1216608 1216610 M 0 1 2 1 _____________________________________________________________________________ 18304 2207 ( 1 , 4870849 ) 2435424 2435425 P 1 0 1 1 _____________________________________________________________________________ 18305 2208 ( 2 , 2437632 ) 18307 2208 ( 6 , 812544 ) 18306 18308 18309 18310 18311 18312 18313 18314 18315 2208 2208 2208 2208 2208 2208 2208 2208 2208 ( 4 , 1218816 ) ( 8 , 609408 ) ( 12 , 406272 ) ( 16 , 304704 ) ( 18 , 270848 ) ( 24 , 203136 ) ( 32 , 152352 ) ( 36 , 135424 ) ( 46 , 105984 ) 1218815 609406 406269 304700 203130 152344 135415 101556 1218817 609410 406275 304708 203142 M M M M 152360 76192 M 52969 53015 M 67730 M M 1 3 4 6 8 P 76160 67694 2 M 135433 101580 P 1 12 32 2 23 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18316 2208 ( 48 , 101568 ) 18318 2208 ( 72 , 67712 ) 18317 18319 18320 18321 18322 18323 18324 18325 18326 18327 18328 18329 18330 18331 18332 18333 18334 18335 18336 18337 18338 18339 18340 18341 18342 2208 2208 2208 2208 2208 2208 2208 2208 2208 2208 2208 2208 2208 2208 2208 2208 2208 2208 2208 2208 2208 2208 2208 2208 2208 50760 50808 845 M 24 ( 64 , 76176 ) 38056 38120 M 8 ( 92 , 52992 ) 26450 26542 M 46 ( 96 , 50784 ) ( 128 , 38088 ) ( 138 , 35328 ) ( 144 , 33856 ) ( 184 , 26496 ) ( 192 , 25392 ) ( 256 , 19044 ) ( 276 , 17664 ) ( 288 , 16928 ) ( 368 , 13248 ) ( 384 , 12696 ) ( 414 , 11776 ) 33820 25344 18980 17595 16856 13156 12600 33892 M 25440 M 19108 17000 M 8320 8608 M 6156 5681 6808 6540 6095 M P ( 576 , 8464 ) 3944 4520 M ( 736 , 6624 ) ( 768 , 6348 ) ( 828 , 5888 ) ( 1058 , 4608 ) ( 1104 , 4416 ) ( 1152 , 4232 ) ( 1472 , 3312 ) ( 1536 , 3174 ) 2944 2790 2530 1775 1656 1540 920 819 3680 3558 3358 2833 2760 2692 2392 2355 2 M M M M P M M M M 24 138 32 184 M 5017 4692 M M 4505 4140 92 M ( 512 , 9522 ) ( 552 , 8832 ) 8 M 9650 6440 69 M 13340 8970 4 M 9394 8694 96 M 17733 12792 4 12 1 23 276 8 736 6 46 1 552 4 184 3 846 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18343 18344 2208 2208 ( 1656 , 2944 ) ( 2116 , 2304 ) 644 94 2300 M 2210 M 92 2 4 36 40 _____________________________________________________________________________ 18345 18346 2209 2209 ( 1 , 4879681 ) ( 47 , 103823 ) 2439840 51888 2439841 51935 P M 1 47 1 1 2 _____________________________________________________________________________ 18347 2210 ( 2 , 2442050 ) 18349 2210 ( 26 , 187850 ) 18348 18350 18351 18352 18353 18354 18355 18356 18357 18358 18359 2210 2210 2210 2210 2210 2210 2210 2210 2210 2210 2210 1221024 ( 10 , 488410 ) 244200 ( 34 , 143650 ) 71808 ( 50 , 97682 ) ( 130 , 37570 ) ( 170 , 28730 ) ( 338 , 14450 ) ( 442 , 11050 ) 93912 48816 18720 14280 7056 5304 1221026 244210 93938 M 71842 10 M 18850 2 M 14450 7394 M M 2 M 3936 4514 M 2 ( 850 , 5746 ) 2448 3298 M 34 ( 1690 , 2890 ) 3432 600 4082 M 2290 M 34 130 170 442 ( 578 , 8450 ) ( 650 , 7514 ) 2 26 M 48866 5746 M M 26 0 13 10 13 _____________________________________________________________________________ 18360 2211 ( 1 , 4888521 ) 18362 2211 ( 9 , 543169 ) 18361 18363 2211 2211 ( 3 , 1629507 ) ( 11 , 444411 ) 2444260 814752 271580 222200 2444261 814755 271589 222211 M P M P 1 3 1 11 847 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18364 2211 ( 33 , 148137 ) 18366 2211 ( 99 , 49379 ) 18365 18367 18368 18369 18370 18371 18372 2211 2211 2211 2211 2211 2211 2211 ( 67 , 72963 ) ( 121 , 40401 ) ( 201 , 24321 ) ( 363 , 13467 ) ( 603 , 8107 ) ( 737 , 6633 ) ( 1089 , 4489 ) 74052 36448 24640 20140 12060 6552 3752 2948 1700 74085 36515 2789 11 P 12261 3685 67 M 20261 4355 33 M 24739 6915 M M 1 M 3 M 67 M P 201 737 4 9 1 13 _____________________________________________________________________________ 18373 2212 ( 2 , 2446472 ) 18375 2212 ( 8 , 611618 ) 305805 305813 ( 28 , 174748 ) 87360 87388 18374 18376 18377 18378 18379 18380 18381 18382 18383 18384 18385 2212 2212 2212 2212 2212 2212 2212 2212 2212 2212 2212 ( 4 , 1223236 ) ( 14 , 349496 ) ( 56 , 87374 ) ( 98 , 49928 ) ( 158 , 30968 ) ( 196 , 24964 ) ( 316 , 15484 ) ( 392 , 12482 ) ( 632 , 7742 ) ( 1106 , 4424 ) 1223235 611616 174741 43659 24915 15405 12384 7584 6045 3555 1659 1223237 611620 M P 174755 M 43715 6437 4187 2765 M 7 P 15563 7900 1 M 25013 12580 P 1 M M M 28 79 316 1 M 4 7 4 P M 4 1 79 9 553 13 _____________________________________________________________________________ 18386 2213 ( 1 , 4897369 ) 2448684 2448685 P 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 848 1 0 1 _____________________________________________________________________________ 18387 2214 ( 2 , 2450898 ) 18389 2214 ( 18 , 272322 ) 18388 18390 18391 18392 18393 18394 18395 18396 2214 2214 2214 2214 2214 2214 2214 2214 1225448 ( 6 , 816966 ) 408480 ( 54 , 90774 ) 45360 ( 82 , 59778 ) ( 162 , 30258 ) ( 246 , 19926 ) ( 486 , 10086 ) ( 738 , 6642 ) ( 1458 , 3362 ) 136152 29848 15048 9840 4800 2952 952 1225450 408486 136170 45414 18 18 M M 6 M M 2 82 M 10086 2410 54 M 15210 3690 6 M M 29930 5286 M M 246 738 0 10 2 10 _____________________________________________________________________________ 18397 2215 ( 1 , 4906225 ) 18399 2215 ( 25 , 196249 ) 18398 18400 2215 2215 2453112 ( 5 , 981245 ) 490620 ( 443 , 11075 ) 5316 98112 2453113 490625 98137 5759 M M P P 2 1 2 5 1 443 4 _____________________________________________________________________________ 18401 2216 ( 2 , 2455328 ) 18403 2216 ( 8 , 613832 ) 306912 306920 ( 32 , 153458 ) 76713 76745 18402 18404 18405 18406 18407 2216 2216 2216 2216 2216 ( 4 , 1227664 ) ( 16 , 306916 ) ( 554 , 8864 ) ( 1108 , 4432 ) 1227663 613830 153450 4155 1662 1227665 613834 2770 2 M 153466 4709 M P M M P M 8 1 277 554 2 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 849 2 5 7 _____________________________________________________________________________ 18408 2217 ( 1 , 4915089 ) 18410 2217 ( 9 , 546121 ) 18409 18411 2217 2217 ( 3 , 1638363 ) ( 739 , 6651 ) 2457544 819180 273056 2956 2457545 819183 273065 3695 M M P P 2 2 1 739 3 1 4 _____________________________________________________________________________ 18412 2218 ( 2 , 2459762 ) 1229880 1229882 M 0 1 2 1 _____________________________________________________________________________ 18413 2219 ( 1 , 4923961 ) 18415 2219 ( 49 , 100489 ) 18414 18416 2219 2219 2461980 ( 7 , 703423 ) 351708 ( 317 , 15533 ) 7608 50220 2461981 351715 50269 7925 M M P P 2 1 2 7 1 317 4 _____________________________________________________________________________ 18417 2220 ( 2 , 2464200 ) 18419 2220 ( 6 , 821400 ) 18418 18420 18421 18422 18423 18424 18425 18426 2220 2220 2220 2220 2220 2220 2220 2220 ( 4 , 1232100 ) ( 8 , 616050 ) ( 10 , 492840 ) ( 12 , 410700 ) ( 18 , 273800 ) ( 20 , 246420 ) ( 24 , 205350 ) ( 30 , 164280 ) 1232099 616048 410697 308021 246415 205344 136891 123200 102663 82125 1232101 616052 410703 308029 246425 M M P M 205356 M 136909 P 123220 102687 82155 M M M P 4 1 3 1 5 12 1 20 3 15 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18427 2220 ( 36 , 136900 ) 18429 2220 ( 50 , 98568 ) 49259 49309 P 1 ( 72 , 68450 ) 34189 34261 P 1 18428 18430 18431 18432 18433 18434 18435 18436 18437 18438 18439 18440 18441 18442 18443 18444 18445 18446 18447 18448 18449 18450 18451 18452 18453 2220 2220 2220 2220 2220 2220 2220 2220 2220 2220 2220 2220 2220 2220 2220 2220 2220 2220 2220 2220 2220 2220 2220 2220 2220 ( 40 , 123210 ) ( 60 , 82140 ) ( 74 , 66600 ) ( 90 , 54760 ) ( 100 , 49284 ) ( 120 , 41070 ) ( 148 , 33300 ) ( 150 , 32856 ) ( 180 , 27380 ) ( 200 , 24642 ) ( 222 , 22200 ) ( 296 , 16650 ) ( 300 , 16428 ) ( 360 , 13690 ) ( 370 , 13320 ) ( 444 , 11100 ) ( 450 , 10952 ) 68432 61585 41040 33263 27335 24592 20475 16576 16353 13600 12221 10989 68468 850 61625 M 33337 27425 M 16724 16503 6665 7025 M 5251 5772 5701 20 P M 5328 3 M 12421 6845 148 M 13780 M M M P M 1 37 5 185 444 1 3807 4407 M 3 ( 740 , 6660 ) 2960 3700 M 740 ( 888 , 5550 ) ( 900 , 5476 ) ( 1110 , 4440 ) ( 1332 , 3700 ) 3367 2331 2288 1665 1184 4033 3219 3188 2775 2516 M M M M M 111 12 ( 600 , 8214 ) ( 666 , 7400 ) 4 15 M 8473 6475 5 M 20595 8364 37 M 24692 5 60 M 8177 8064 4 M 41100 11211 M 37 111 4 555 148 851 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18454 2220 ( 1480 , 3330 ) 925 2405 M 18456 2220 ( 1850 , 2664 ) 407 2257 M 18455 2220 ( 1800 , 2738 ) 469 2269 185 P 1 8 32 37 40 _____________________________________________________________________________ 18457 2221 ( 1 , 4932841 ) 2466420 2466421 P 1 0 1 1 _____________________________________________________________________________ 18458 2222 ( 2 , 2468642 ) 18460 2222 ( 202 , 24442 ) 18459 18461 2222 2222 1234320 ( 22 , 224422 ) 112200 ( 242 , 20402 ) 10080 12120 1234322 112222 12322 M 10322 M M 0 M 22 2 202 4 2 4 _____________________________________________________________________________ 18462 2223 ( 1 , 4941729 ) 18464 2223 ( 9 , 549081 ) 18463 18465 18466 18467 18468 18469 18470 18471 18472 18473 18474 2223 2223 2223 2223 2223 2223 2223 2223 2223 2223 2223 ( 3 , 1647243 ) ( 13 , 380133 ) ( 19 , 260091 ) ( 27 , 183027 ) ( 39 , 126711 ) ( 57 , 86697 ) ( 81 , 61009 ) ( 117 , 42237 ) ( 169 , 29241 ) ( 171 , 28899 ) ( 247 , 20007 ) 2470864 823620 274536 190060 130036 91500 63336 43320 30464 21060 14536 14364 9880 2470865 823623 M 274545 91527 63375 43377 30545 21177 14705 14535 10127 3 M 190073 130055 P 9 M M M M P M P M M 1 13 M 3 19 39 57 1 117 1 171 247 852 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18475 2223 ( 351 , 14079 ) 18477 2223 ( 507 , 9747 ) 4620 5127 M 3 ( 741 , 6669 ) 2964 3705 M 741 18476 18478 18479 18480 18481 18482 18483 2223 2223 2223 2223 2223 2223 2223 ( 361 , 13689 ) ( 513 , 9633 ) ( 1053 , 4693 ) ( 1083 , 4563 ) ( 1521 , 3249 ) ( 1539 , 3211 ) 6864 6664 4560 1820 1740 864 836 7215 7025 5073 M 39 P 1 M 2873 2823 2385 2375 57 M 13 M 3 M M 9 4 18 19 22 _____________________________________________________________________________ 18484 2224 ( 2 , 2473088 ) 18486 2224 ( 8 , 618272 ) 309132 309140 ( 32 , 154568 ) 77268 77300 18485 18487 18488 18489 18490 18491 18492 18493 2224 2224 2224 2224 2224 2224 2224 2224 ( 4 , 1236544 ) ( 16 , 309136 ) 1236543 618270 154560 1236545 618274 38610 38674 ( 278 , 17792 ) 8757 9035 ( 556 , 8896 ) ( 1112 , 4448 ) 19257 4170 1668 19385 4726 2780 2 M 154576 ( 64 , 77284 ) ( 128 , 38642 ) M P M 4 M M M 1 2 P 4 16 1 139 M 278 M 2 8 556 10 _____________________________________________________________________________ 18494 2225 ( 1 , 4950625 ) 18496 2225 ( 25 , 198025 ) 18495 18497 2225 2225 2475312 ( 5 , 990125 ) 495060 ( 89 , 55625 ) 27768 99000 2475313 495065 99025 27857 M M M P 5 25 89 1 853 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18498 2225 ( 125 , 39605 ) 18500 2225 ( 625 , 7921 ) 18499 2225 ( 445 , 11125 ) 19740 5340 3648 19865 5785 4273 M P M 5 2 5 1 445 7 _____________________________________________________________________________ 18501 2226 ( 2 , 2477538 ) 18503 2226 ( 14 , 353934 ) 18502 18504 18505 18506 18507 18508 18509 18510 18511 18512 18513 2226 2226 2226 2226 2226 2226 2226 2226 2226 2226 2226 ( 6 , 825846 ) ( 18 , 275282 ) ( 42 , 117978 ) ( 98 , 50562 ) ( 106 , 46746 ) ( 126 , 39326 ) ( 294 , 16854 ) ( 318 , 15582 ) 1238768 412920 176960 137632 58968 25232 23320 19600 8280 7632 1238770 412926 M 176974 59010 M 25330 14 M 2 M 23426 2 M 19726 8574 M M 6 M 3710 M 742 ( 954 , 5194 ) 2120 3074 M 106 3250 106 318 2968 2368 42 14 ( 742 , 6678 ) ( 882 , 5618 ) 2 6 M 137650 7950 M M 2 0 13 13 _____________________________________________________________________________ 18514 2227 ( 1 , 4959529 ) 18516 2227 ( 131 , 37859 ) 18515 18517 2227 2227 2479764 ( 17 , 291737 ) 145860 ( 289 , 17161 ) 8436 18864 2479765 145877 18995 8725 P M 2 M P 2 1 17 1 131 4 _____________________________________________________________________________ 18518 2228 ( 2 , 2481992 ) 1240995 1240997 P 1 854 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18519 2228 ( 4 , 1240996 ) 18521 2228 ( 1114 , 4456 ) 18520 2228 ( 8 , 620498 ) 620496 310245 1671 620500 310253 2785 M M P 2 1 4 557 2 4 _____________________________________________________________________________ 18522 2229 ( 1 , 4968441 ) 18524 2229 ( 9 , 552049 ) 18523 18525 2229 2229 ( 3 , 1656147 ) ( 743 , 6687 ) 2484220 828072 276020 2972 2484221 828075 276029 3715 M P P M 2 2 743 1 3 1 4 _____________________________________________________________________________ 18526 2230 ( 2 , 2486450 ) 18528 2230 ( 50 , 99458 ) 18527 18529 2230 2230 ( 10 , 497290 ) ( 446 , 11150 ) 1243224 248640 49704 5352 1243226 248650 49754 5798 M M M 0 M 2 10 2 446 4 4 _____________________________________________________________________________ 18530 2231 ( 1 , 4977361 ) 18532 2231 ( 97 , 51313 ) 18531 18533 2231 2231 ( 23 , 216407 ) ( 529 , 9409 ) 2488680 108192 25608 4440 2488681 108215 25705 4969 P M M 2 P 2 1 1 97 23 4 _____________________________________________________________________________ 18534 2232 ( 2 , 2490912 ) 18536 2232 ( 6 , 830304 ) 18535 18537 2232 2232 ( 4 , 1245456 ) ( 8 , 622728 ) 1245455 622726 415149 311360 1245457 622730 415155 311368 M M M P 2 3 8 1 855 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18538 2232 ( 12 , 415152 ) 207570 207582 M 6 18540 2232 ( 18 , 276768 ) 138375 138393 M 9 18539 18541 18542 18543 18544 18545 18546 18547 18548 18549 18550 18551 18552 18553 18554 18555 18556 18557 18558 18559 18560 18561 18562 18563 18564 2232 2232 2232 2232 2232 2232 2232 2232 2232 2232 2232 2232 2232 2232 2232 2232 2232 2232 2232 2232 2232 2232 2232 2232 2232 ( 16 , 311364 ) ( 24 , 207576 ) ( 32 , 155682 ) ( 36 , 138384 ) ( 48 , 103788 ) 155674 103776 155690 M 103800 77825 77857 P 51870 51918 M 69174 69210 2 M 1 M 18 6 ( 54 , 92256 ) 46101 46155 M 3 ( 72 , 69192 ) 34560 34632 M 72 ( 62 , 80352 ) ( 96 , 51894 ) ( 108 , 46128 ) ( 124 , 40176 ) ( 144 , 34596 ) ( 162 , 30752 ) ( 186 , 26784 ) ( 216 , 23064 ) ( 248 , 20088 ) ( 288 , 17298 ) ( 324 , 15376 ) ( 372 , 13392 ) ( 432 , 11532 ) ( 496 , 10044 ) 40145 25899 23010 20026 17226 15295 13299 11424 40207 5550 4774 18 P 13485 1 M 11640 93 M M 24 248 8793 M 9 6882 M 186 5982 5270 M M M 2 6 62 ( 558 , 8928 ) 4185 4743 M 279 ( 744 , 6696 ) 2976 3720 M 744 ( 648 , 7688 ) ( 864 , 5766 ) 3520 2451 6 62 M 15457 7850 6510 M 17370 7526 3 M 20150 10168 31 M 23118 9920 8505 M 25995 4168 3315 M M 24 8 3 856 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18565 2232 ( 992 , 5022 ) 18567 2232 ( 1296 , 3844 ) 18566 18568 18569 18570 2232 2232 2232 2232 ( 1116 , 4464 ) ( 1488 , 3348 ) ( 1674 , 2976 ) ( 1922 , 2592 ) 2015 1674 1274 3007 2790 2570 M M 2418 M 335 2257 P 2325 558 M 930 651 31 2 186 M 93 4 33 1 37 _____________________________________________________________________________ 18571 2233 ( 1 , 4986289 ) 18573 2233 ( 11 , 453299 ) 18572 18574 18575 18576 18577 18578 18579 18580 18581 18582 18583 2233 2233 2233 2233 2233 2233 2233 2233 2233 2233 2233 2493144 2493145 ( 7 , 712327 ) 356160 356167 ( 29 , 171941 ) 85956 85985 ( 49 , 101761 ) ( 77 , 64757 ) ( 121 , 41209 ) ( 203 , 24563 ) ( 319 , 15631 ) 226644 50856 32340 20544 12180 7656 226655 M 50905 32417 7975 M 4895 M ( 847 , 5887 ) 2520 3367 M ( 1421 , 3509 ) 1044 3385 29 1 77 1 M 203 319 11 P 2465 1 11 P 4356 2544 M M 20665 12383 7 P ( 539 , 9251 ) ( 841 , 5929 ) M P 1 M 4 7 9 29 13 _____________________________________________________________________________ 18584 2234 ( 2 , 2495378 ) 1247688 1247690 0 M 1 1 2 _____________________________________________________________________________ 18585 2235 ( 1 , 4995225 ) 2497612 2497613 P 1 857 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18586 2235 ( 3 , 1665075 ) 18588 2235 ( 9 , 555025 ) 18587 18589 18590 18591 18592 18593 18594 18595 18596 18597 2235 2235 2235 2235 2235 2235 2235 2235 2235 2235 ( 5 , 999045 ) ( 15 , 333015 ) ( 25 , 199809 ) ( 45 , 111005 ) ( 75 , 66603 ) ( 149 , 33525 ) ( 225 , 22201 ) ( 447 , 11175 ) ( 745 , 6705 ) ( 1341 , 3725 ) 832536 499520 277508 166500 99892 55480 33264 16688 10988 5364 2980 1192 832539 M 499525 M 277517 99917 P 55525 16837 M 1 3 P 1 M 15 5 M M 11213 2533 1 M 33339 3725 5 P 166515 5811 3 149 447 M 745 M 4 9 149 13 _____________________________________________________________________________ 18598 2236 ( 2 , 2499848 ) 18600 2236 ( 8 , 624962 ) 312477 ( 52 , 96148 ) 48048 18599 18601 18602 18603 18604 18605 18606 18607 18608 18609 18610 2236 2236 2236 2236 2236 2236 2236 2236 2236 2236 2236 ( 4 , 1249924 ) ( 26 , 192296 ) ( 86 , 58136 ) ( 104 , 48074 ) ( 172 , 29068 ) ( 338 , 14792 ) ( 344 , 14534 ) ( 676 , 7396 ) ( 1118 , 4472 ) ( 1352 , 3698 ) 1249923 624960 96135 29025 23985 14448 7227 7095 3360 1677 1173 1249925 624964 312485 P 96161 7439 4036 2795 2525 52 M 24089 43 M P M M 13 1 172 43 M 4 P 1 M 4 13 M 29111 7565 1 M 48100 14620 M P 559 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 858 4 9 13 _____________________________________________________________________________ 18611 2237 ( 1 , 5004169 ) 2502084 2502085 P 1 0 1 1 _____________________________________________________________________________ 18612 2238 ( 2 , 2504322 ) 18614 2238 ( 18 , 278258 ) 18613 18615 2238 2238 1252160 ( 6 , 834774 ) 417384 ( 746 , 6714 ) 2984 139120 1252162 417390 M 139138 3730 M M M 0 4 2 6 2 746 4 _____________________________________________________________________________ 18616 2239 ( 1 , 5013121 ) 2506560 2506561 P 1 0 1 1 _____________________________________________________________________________ 18617 2240 ( 2 , 2508800 ) 18619 2240 ( 8 , 627200 ) 18618 18620 18621 18622 18623 18624 18625 18626 18627 18628 18629 2240 2240 2240 2240 2240 2240 2240 2240 2240 2240 2240 ( 4 , 1254400 ) ( 10 , 501760 ) ( 14 , 358400 ) ( 16 , 313600 ) ( 20 , 250880 ) ( 28 , 179200 ) ( 32 , 156800 ) ( 40 , 125440 ) ( 50 , 100352 ) ( 56 , 89600 ) ( 64 , 78400 ) 1254399 627198 313596 250875 179193 156792 125430 1254401 627202 M 313604 179207 M 62700 62740 M 50151 44772 39168 50201 44828 39232 7 M 89614 78416 5 M 156808 M P M M M 1 4 M 89586 78384 2 M 250885 125450 P 8 10 14 16 20 1 28 64 859 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18630 2240 ( 70 , 71680 ) 35805 35875 M 18632 2240 ( 98 , 51200 ) 25551 25649 P 18631 18633 18634 18635 18636 18637 18638 18639 18640 18641 18642 18643 18644 18645 18646 18647 18648 18649 18650 18651 18652 18653 18654 18655 18656 2240 2240 2240 2240 2240 2240 2240 2240 2240 2240 2240 2240 2240 2240 2240 2240 2240 2240 2240 2240 2240 2240 2240 2240 2240 ( 80 , 62720 ) ( 100 , 50176 ) ( 112 , 44800 ) ( 128 , 39200 ) ( 140 , 35840 ) ( 160 , 31360 ) ( 196 , 25600 ) ( 200 , 25088 ) ( 224 , 22400 ) ( 256 , 19600 ) ( 280 , 17920 ) ( 320 , 15680 ) ( 350 , 14336 ) ( 392 , 12800 ) ( 400 , 12544 ) ( 448 , 11200 ) ( 490 , 10240 ) 31320 25038 22344 19536 17850 15600 12702 12444 11088 31400 M 25138 19664 12898 7680 8000 M 6072 5376 4875 6596 6472 5824 5365 2 M M 6204 80 M 12644 7343 70 M 9928 6993 16 M 15760 M M M M M M M 4 8 320 7 4 8 448 5 4644 5156 M 4 ( 640 , 7840 ) 3600 4240 M 80 ( 700 , 7168 ) ( 784 , 6400 ) ( 800 , 6272 ) ( 896 , 5600 ) ( 980 , 5120 ) 4200 3234 2808 2736 2352 2070 4760 3934 3592 3536 3248 3050 M M M M M M 112 140 ( 512 , 9800 ) ( 560 , 8960 ) 2 56 M 17990 9100 1 M 9672 8820 40 M 22456 11312 35 280 14 8 16 112 10 860 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18657 2240 ( 1024 , 4900 ) 1938 2962 M 2 18659 2240 ( 1280 , 3920 ) 1320 2600 M 40 18658 18660 18661 18662 18663 18664 18665 2240 2240 2240 2240 2240 2240 2240 ( 1120 , 4480 ) ( 1400 , 3584 ) ( 1568 , 3200 ) ( 1600 , 3136 ) ( 1792 , 2800 ) ( 1960 , 2560 ) ( 2048 , 2450 ) 1680 1092 2800 2492 M 560 M 28 816 2384 M 16 504 2296 M 56 768 300 201 2368 M 2260 64 M 2249 20 P 4 45 1 49 _____________________________________________________________________________ 18666 2241 ( 1 , 5022081 ) 18668 2241 ( 9 , 558009 ) 279000 ( 81 , 62001 ) 30960 18667 18669 18670 18671 18672 18673 18674 18675 2241 2241 2241 2241 2241 2241 2241 2241 ( 3 , 1674027 ) ( 27 , 186003 ) ( 83 , 60507 ) ( 243 , 20667 ) ( 249 , 20169 ) ( 729 , 6889 ) ( 747 , 6723 ) 2511040 837012 92988 30212 10212 9960 3080 2988 2511041 837015 279009 93015 9 3 M M 2 27 83 M P 1 9 M 10455 3735 M M 30295 3809 3 M 31041 10209 M P 1 8 249 747 10 _____________________________________________________________________________ 18676 2242 ( 2 , 2513282 ) 18678 2242 ( 118 , 42598 ) 18677 18679 2242 2242 ( 38 , 132278 ) ( 722 , 6962 ) 1256640 66120 21240 3120 1256642 66158 21358 3842 M M M M 38 2 118 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 861 0 4 4 _____________________________________________________________________________ 18680 2243 ( 1 , 5031049 ) 2515524 2515525 P 1 0 1 1 _____________________________________________________________________________ 18681 2244 ( 2 , 2517768 ) 18683 2244 ( 6 , 839256 ) 18682 18684 18685 18686 18687 18688 18689 18690 18691 18692 18693 18694 18695 18696 18697 18698 18699 18700 18701 18702 2244 2244 2244 2244 2244 2244 2244 2244 2244 2244 2244 2244 2244 2244 2244 2244 2244 2244 2244 2244 ( 4 , 1258884 ) ( 8 , 629442 ) ( 12 , 419628 ) ( 18 , 279752 ) ( 22 , 228888 ) ( 24 , 209814 ) ( 34 , 148104 ) ( 36 , 139876 ) ( 44 , 114444 ) 1258883 629440 419625 314717 209808 139867 114433 104895 1258885 629444 M 419631 314725 209820 P 114455 104919 M 57200 57244 M 69956 38181 M ( 72 , 69938 ) 34933 35005 P ( 88 , 57222 ) ( 102 , 49368 ) ( 132 , 38148 ) ( 136 , 37026 ) ( 198 , 25432 ) ( 204 , 24684 ) ( 242 , 20808 ) ( 264 , 19074 ) 28567 24633 19008 18445 12617 12240 10283 9405 37060 28655 24735 M M M 19140 3 17 4 44 33 68 1 11 51 132 M 12815 17 M 12444 9669 M M 18581 10525 11 M 38115 M M P 12 1 M 74069 36992 1 M 139885 1 3 P ( 66 , 76296 ) ( 68 , 74052 ) 4 M 74035 69920 P 11 204 1 33 862 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18703 2244 ( 306 , 16456 ) 8075 8381 M 17 18705 2244 ( 396 , 12716 ) 6160 6556 M 44 18704 18706 18707 18708 18709 18710 18711 18712 18713 18714 18715 18716 18717 18718 18719 18720 2244 2244 2244 2244 2244 2244 2244 2244 2244 2244 2244 2244 2244 2244 2244 2244 ( 374 , 13464 ) ( 408 , 12342 ) ( 484 , 10404 ) 6545 6919 5967 M 6375 4960 5444 M 4067 4645 P ( 726 , 6936 ) 3105 3831 M ( 748 , 6732 ) ( 792 , 6358 ) ( 968 , 5202 ) ( 1122 , 4488 ) ( 1156 , 4356 ) ( 1224 , 4114 ) ( 1452 , 3468 ) ( 1496 , 3366 ) ( 1734 , 2904 ) ( 2178 , 2312 ) 3808 4420 2992 1683 2805 1600 2460 935 585 67 2431 2319 11 1 M M 2669 1008 748 P 2756 1445 3 M 3085 M 17 M 12 M P 561 4 187 M 2245 4 68 M 3575 2117 1 M 3740 2783 51 M ( 578 , 8712 ) ( 612 , 8228 ) 187 1 8 3 32 40 _____________________________________________________________________________ 18721 2245 ( 1 , 5040025 ) 2520012 18723 2245 ( 25 , 201601 ) 100788 18722 18724 2245 2245 ( 5 , 1008005 ) ( 449 , 11225 ) 504000 5388 2520013 504005 100813 5837 M M 2 P P 2 5 449 1 1 4 _____________________________________________________________________________ 18725 2246 ( 2 , 2522258 ) 1261128 1261130 M 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 863 0 1 1 _____________________________________________________________________________ 18726 2247 ( 1 , 5049009 ) 18728 2247 ( 7 , 721287 ) 18727 18729 18730 18731 18732 18733 18734 18735 18736 18737 18738 2247 2247 2247 2247 2247 2247 2247 2247 2247 2247 2247 ( 3 , 1683003 ) ( 9 , 561001 ) ( 21 , 240429 ) ( 49 , 103041 ) ( 63 , 80143 ) ( 107 , 47187 ) ( 147 , 34347 ) ( 321 , 15729 ) ( 441 , 11449 ) ( 749 , 6741 ) ( 963 , 5243 ) 2524504 841500 360640 280496 120204 51496 40040 23540 17100 7704 5504 2996 2140 2524505 841503 M 360647 51545 P 40103 M 1 7 M 17247 8025 3103 1 M 23647 M M 21 107 3 321 P 1 M M 1 7 P 120225 3745 3 M 280505 5945 P 749 4 9 107 13 _____________________________________________________________________________ 18739 2248 ( 2 , 2526752 ) 18741 2248 ( 8 , 631688 ) 315840 315848 ( 32 , 157922 ) 78945 78977 18740 18742 18743 18744 18745 2248 2248 2248 2248 2248 ( 4 , 1263376 ) ( 16 , 315844 ) ( 562 , 8992 ) ( 1124 , 4496 ) 1263375 631686 157914 4215 1686 1263377 631690 M 2810 2 M 157930 4777 P M P M 2 1 8 M 1 2 281 5 562 7 _____________________________________________________________________________ 18746 2249 ( 1 , 5058001 ) 2529000 2529001 P 1 864 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18747 2249 ( 13 , 389077 ) 194532 18749 2249 ( 173 , 29237 ) 14532 18748 2249 ( 169 , 29929 ) 14880 194545 15049 P 14705 M M 2 13 1 173 2 4 _____________________________________________________________________________ 18750 2250 ( 2 , 2531250 ) 18752 2250 ( 10 , 506250 ) 18751 18753 18754 18755 18756 18757 18758 18759 18760 18761 18762 18763 18764 18765 18766 2250 2250 2250 2250 2250 2250 2250 2250 2250 2250 2250 2250 2250 2250 2250 ( 6 , 843750 ) ( 18 , 281250 ) ( 30 , 168750 ) ( 50 , 101250 ) ( 54 , 93750 ) ( 90 , 56250 ) ( 150 , 33750 ) ( 162 , 31250 ) ( 250 , 20250 ) ( 270 , 18750 ) ( 450 , 11250 ) ( 750 , 6750 ) ( 810 , 6250 ) ( 1250 , 4050 ) ( 1350 , 3750 ) 1265624 421872 253120 140616 84360 50600 46848 28080 16800 15544 10000 9240 5400 3000 2720 1400 1200 1265626 421878 M 253130 84390 M 50650 3530 2650 2550 30 6 150 M M 2 M 30 M 750 M 10 M 0 250 450 M M 50 90 M 15706 3750 18 M 16950 5850 M M 28170 9510 10 M 46902 2 6 M 140634 10250 M 50 17 150 17 _____________________________________________________________________________ 18767 2251 ( 1 , 5067001 ) 2533500 2533501 1 P 0 1 1 _____________________________________________________________________________ 865 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18768 2252 ( 2 , 2535752 ) 18770 2252 ( 8 , 633938 ) 18769 18771 2252 2252 ( 4 , 1267876 ) ( 1126 , 4504 ) 1267875 633936 316965 1689 1267877 633940 316973 2815 M P P M 2 1 2 4 1 563 4 _____________________________________________________________________________ 18772 2253 ( 1 , 5076009 ) 18774 2253 ( 9 , 564001 ) 18773 18775 2253 2253 ( 3 , 1692003 ) ( 751 , 6759 ) 2538004 846000 281996 3004 2538005 846003 282005 3755 M P P M 2 2 1 751 3 1 4 _____________________________________________________________________________ 18776 2254 ( 2 , 2540258 ) 18778 2254 ( 46 , 110446 ) 18777 18779 18780 18781 18782 2254 2254 2254 2254 2254 ( 14 , 362894 ) 1270128 181440 55200 ( 98 , 51842 ) 25872 ( 686 , 7406 ) 3360 ( 322 , 15778 ) ( 1058 , 4802 ) 7728 1872 1270130 181454 55246 25970 8050 4046 2930 M M M 14 2 46 M 98 M 322 M 14 M 0 7 2 7 _____________________________________________________________________________ 18783 2255 ( 1 , 5085025 ) 2542512 18785 2255 ( 11 , 462275 ) 231132 ( 41 , 124025 ) 61992 18784 18786 18787 18788 2255 2255 2255 2255 ( 5 , 1017005 ) ( 25 , 203401 ) ( 55 , 92455 ) 2542513 508500 508505 101688 101713 46200 M 231143 62033 46255 P 5 M M M P 1 11 1 41 55 866 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18789 2255 ( 121 , 42025 ) 20952 18791 2255 ( 275 , 18491 ) 9108 18790 18792 18793 18794 18795 2255 2255 2255 2255 2255 ( 205 , 24805 ) ( 451 , 11275 ) 12300 5412 21073 12505 9383 5863 M 3900 4505 M ( 1681 , 3025 ) 672 2353 P 1968 2993 1 M 11 M ( 605 , 8405 ) ( 1025 , 4961 ) P 205 451 5 M 4 9 1 41 13 _____________________________________________________________________________ 18796 2256 ( 2 , 2544768 ) 18798 2256 ( 6 , 848256 ) 18797 18799 18800 18801 18802 18803 18804 18805 18806 18807 18808 18809 18810 18811 18812 18813 2256 2256 2256 2256 2256 2256 2256 2256 2256 2256 2256 2256 2256 2256 2256 2256 ( 4 , 1272384 ) ( 8 , 636192 ) ( 12 , 424128 ) ( 16 , 318096 ) ( 18 , 282752 ) ( 24 , 212064 ) ( 32 , 159048 ) ( 36 , 141376 ) ( 48 , 106032 ) 1272383 636190 424125 318092 212058 159040 141367 106020 1272385 636194 M 424131 212070 6 M 141385 16 P 79540 M 52992 53040 M 70706 4 M 159056 1 M 4 M 48 39730 39794 M 2 ( 94 , 54144 ) 27025 27119 M 47 ( 96 , 53016 ) ( 128 , 39762 ) ( 144 , 35344 ) ( 188 , 27072 ) 35308 26460 19817 17600 13442 35380 26556 19945 17744 13630 M M P M M 12 2 ( 64 , 79524 ) ( 72 , 70688 ) 1 3 M 79508 70670 2 M 318100 106044 P 4 12 1 16 94 867 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18814 2256 ( 192 , 26508 ) 13158 18816 2256 ( 288 , 17672 ) 8692 18815 18817 18818 18819 18820 18821 18822 18823 18824 18825 18826 2256 2256 2256 2256 2256 2256 2256 2256 2256 2256 2256 ( 282 , 18048 ) ( 376 , 13536 ) ( 384 , 13254 ) 13350 8883 9165 M 6580 6956 M 6435 8980 6819 M 6 141 M 4 188 M 3 ( 564 , 9024 ) 4230 4794 M 282 ( 752 , 6768 ) 3008 3760 M 752 ( 576 , 8836 ) ( 846 , 6016 ) ( 1128 , 4512 ) ( 1152 , 4418 ) ( 1504 , 3384 ) ( 1692 , 3008 ) 4130 2585 1692 1633 940 658 4706 M 3431 2820 2785 2444 2350 2 M 47 M 564 P 1 M M 188 4 27 94 31 _____________________________________________________________________________ 18827 2257 ( 1 , 5094049 ) 18829 2257 ( 61 , 83509 ) 18828 18830 2257 2257 ( 37 , 137677 ) ( 1369 , 3721 ) 2547024 68820 41724 1176 2547025 68857 41785 2545 P M M P 2 2 37 1 1 61 4 _____________________________________________________________________________ 18831 2258 ( 2 , 2549282 ) 1274640 1274642 M 0 1 2 1 _____________________________________________________________________________ 18832 2259 ( 1 , 5103081 ) 18834 2259 ( 9 , 567009 ) 18833 2259 ( 3 , 1701027 ) 2551540 850512 283500 2551541 850515 283509 M M P 3 9 1 868 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18835 2259 ( 27 , 189003 ) 18837 2259 ( 251 , 20331 ) 18836 18838 2259 2259 94488 ( 81 , 63001 ) 31460 ( 753 , 6777 ) 3012 10040 94515 31541 10291 3765 M P M 3 1 M 2 5 753 251 7 _____________________________________________________________________________ 18839 2260 ( 2 , 2553800 ) 18841 2260 ( 8 , 638450 ) 18840 18842 18843 18844 18845 18846 18847 18848 18849 18850 18851 2260 2260 2260 2260 2260 2260 2260 2260 2260 2260 2260 ( 4 , 1276900 ) ( 10 , 510760 ) ( 20 , 255380 ) ( 40 , 127690 ) ( 50 , 102152 ) ( 100 , 51076 ) ( 200 , 25538 ) ( 226 , 22600 ) ( 452 , 11300 ) ( 904 , 5650 ) ( 1130 , 4520 ) 1276899 638448 319221 255375 127680 1276901 638452 M 319229 P 255385 127700 63865 M 25488 25588 M 11187 11413 12669 5424 2373 1695 51101 12869 5876 3277 2825 1 M 63825 51051 P M M 5 P 1 P 1 4 1 5 20 4 M 113 452 M 113 M 4 9 565 13 _____________________________________________________________________________ 18852 2261 ( 1 , 5112121 ) 18854 2261 ( 17 , 300713 ) 18853 18855 18856 18857 2261 2261 2261 2261 ( 7 , 730303 ) ( 19 , 269059 ) ( 49 , 104329 ) ( 119 , 42959 ) 2556060 365148 150348 134520 52140 21420 2556061 365155 150365 134539 52189 21539 M P 7 M P M M 1 17 1 19 119 869 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18858 2261 ( 133 , 38437 ) 19152 18860 2261 ( 323 , 15827 ) 7752 18859 18861 18862 18863 18864 2261 2261 2261 2261 2261 ( 289 , 17689 ) ( 361 , 14161 ) 19285 8700 8989 P 6900 7261 P 8075 M 1 M 323 1 ( 833 , 6137 ) 2652 3485 M 17 ( 2023 , 2527 ) 252 2275 M 7 ( 931 , 5491 ) 2280 3211 133 M 19 4 9 13 _____________________________________________________________________________ 18865 2262 ( 2 , 2558322 ) 18867 2262 ( 18 , 284258 ) 18866 18868 18869 18870 18871 18872 18873 18874 18875 18876 18877 2262 2262 2262 2262 2262 2262 2262 2262 2262 2262 2262 1279160 1279162 ( 6 , 852774 ) 426384 426390 ( 26 , 196794 ) 98384 98410 ( 58 , 88218 ) ( 78 , 65598 ) ( 174 , 29406 ) ( 234 , 21866 ) ( 338 , 15138 ) ( 522 , 9802 ) ( 754 , 6786 ) ( 1014 , 5046 ) ( 1682 , 3042 ) 142120 44080 32760 14616 10816 7400 4640 3016 2016 680 M 142138 M 44138 5162 3770 3030 2362 M 26 58 78 M M 174 M 26 2 M 58 M 754 M M 2 2 M 14790 7738 6 M 32838 11050 M 6 0 13 2 13 _____________________________________________________________________________ 18878 2263 ( 1 , 5121169 ) 18880 2263 ( 73 , 70153 ) 18879 2263 ( 31 , 165199 ) 2560584 82584 35040 2560585 82615 35113 M M P 31 73 1 870 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18881 2263 ( 961 , 5329 ) 2184 3145 P 2 2 1 4 _____________________________________________________________________________ 18882 2264 ( 2 , 2562848 ) 18884 2264 ( 8 , 640712 ) 320352 320360 ( 32 , 160178 ) 80073 80105 18883 18885 18886 18887 18888 2264 2264 2264 2264 2264 ( 4 , 1281424 ) ( 16 , 320356 ) ( 566 , 9056 ) ( 1132 , 4528 ) 1281423 640710 160170 4245 1698 1281425 640714 M 2830 2 M 160186 4811 P P M 1 8 M 2 1 283 M 2 5 566 7 _____________________________________________________________________________ 18889 2265 ( 1 , 5130225 ) 2565112 18891 2265 ( 5 , 1026045 ) 513020 18890 18892 18893 18894 18895 18896 18897 18898 18899 18900 18901 2265 2265 2265 2265 2265 2265 2265 2265 2265 2265 2265 ( 3 , 1710075 ) ( 9 , 570025 ) ( 15 , 342015 ) ( 25 , 205209 ) ( 45 , 114005 ) ( 75 , 68403 ) ( 151 , 33975 ) ( 225 , 22801 ) ( 453 , 11325 ) ( 755 , 6795 ) ( 1359 , 3775 ) 855036 285008 171000 102592 56980 34164 16912 11288 5436 3020 1208 2565113 855039 M 513025 P 171015 57025 M 34239 17063 3775 2567 1 M 102617 5889 3 M 285017 11513 P P 5 M 3 P 1 M M 4 5 15 1 151 453 M M 1 755 9 151 13 _____________________________________________________________________________ 871 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18902 2266 ( 2 , 2567378 ) 18904 2266 ( 206 , 24926 ) 18903 18905 2266 2266 1283688 ( 22 , 233398 ) 116688 ( 242 , 21218 ) 10488 12360 1283690 116710 12566 M 10730 M M 0 M 22 2 206 4 2 4 _____________________________________________________________________________ 18906 2267 ( 1 , 5139289 ) 2569644 2569645 P 1 0 1 1 _____________________________________________________________________________ 18907 2268 ( 2 , 2571912 ) 18909 2268 ( 6 , 857304 ) 18908 18910 18911 18912 18913 18914 18915 18916 18917 18918 18919 18920 18921 18922 18923 18924 2268 2268 2268 2268 2268 2268 2268 2268 2268 2268 2268 2268 2268 2268 2268 2268 ( 4 , 1285956 ) ( 8 , 642978 ) ( 12 , 428652 ) ( 14 , 367416 ) ( 18 , 285768 ) ( 24 , 214326 ) ( 28 , 183708 ) ( 36 , 142884 ) ( 42 , 122472 ) 1285955 642976 428649 321485 214320 183701 142875 107151 1285957 642980 M 428655 214332 M 142893 M 61215 61257 M 9 M 3 28 M 36 21 ( 54 , 95256 ) 47601 47655 M 27 ( 72 , 71442 ) 35685 35757 M 9 ( 56 , 91854 ) ( 84 , 61236 ) ( 98 , 52488 ) ( 108 , 47628 ) ( 126 , 40824 ) 45899 30576 26195 23760 20349 45955 30660 26293 23868 20475 M M P M M 12 7 M 91868 71460 1 M 183715 1 3 P 91840 71424 4 M 321493 107175 P 7 84 1 108 63 872 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18925 2268 ( 162 , 31752 ) 15795 15957 M 81 18927 2268 ( 196 , 26244 ) 13024 13220 M 4 18926 18928 18929 18930 18931 18932 18933 18934 18935 18936 18937 18938 18939 18940 18941 18942 18943 18944 18945 18946 2268 2268 2268 2268 2268 2268 2268 2268 2268 2268 2268 2268 2268 2268 2268 2268 2268 2268 2268 2268 ( 168 , 30618 ) ( 216 , 23814 ) ( 252 , 20412 ) ( 294 , 17496 ) ( 324 , 15876 ) ( 378 , 13608 ) ( 392 , 13122 ) ( 486 , 10584 ) ( 504 , 10206 ) 15225 11799 10080 15393 M 12015 10332 M 8601 8895 M 6615 6993 M 7776 6365 5049 4851 8100 6757 5535 5355 21 27 M 252 3 M 324 189 P 1 M 27 M 63 ( 588 , 8748 ) 4080 4668 M 12 ( 756 , 6804 ) 3024 3780 M 756 ( 648 , 7938 ) ( 882 , 5832 ) ( 972 , 5292 ) ( 1134 , 4536 ) ( 1176 , 4374 ) ( 1458 , 3528 ) ( 1512 , 3402 ) ( 1764 , 2916 ) ( 1944 , 2646 ) 3645 2475 2160 1701 1599 1035 4293 M 3357 81 M 3132 2835 2775 2493 9 M 108 M 567 M 3 M 9 945 2457 M 189 351 2295 M 27 576 2340 M 36 4 36 40 _____________________________________________________________________________ 18947 2269 ( 1 , 5148361 ) 2574180 2574181 1 P 0 1 1 _____________________________________________________________________________ 873 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18948 2270 ( 2 , 2576450 ) 18950 2270 ( 50 , 103058 ) 18949 18951 2270 2270 1288224 ( 10 , 515290 ) 257640 ( 454 , 11350 ) 5448 51504 1288226 257650 51554 5902 M M M 0 M 2 4 10 2 454 4 _____________________________________________________________________________ 18952 2271 ( 1 , 5157441 ) 18954 2271 ( 9 , 573049 ) 18953 18955 2271 2271 ( 3 , 1719147 ) ( 757 , 6813 ) 2578720 859572 286520 3028 2578721 859575 286529 3785 M P P M 2 2 757 1 3 1 4 _____________________________________________________________________________ 18956 2272 ( 2 , 2580992 ) 18958 2272 ( 8 , 645248 ) 322620 322628 ( 32 , 161312 ) 80640 80672 18957 18959 18960 18961 18962 18963 18964 18965 18966 18967 18968 2272 2272 2272 2272 2272 2272 2272 2272 2272 2272 2272 ( 4 , 1290496 ) ( 16 , 322624 ) ( 64 , 80656 ) ( 128 , 40328 ) ( 142 , 36352 ) ( 256 , 20164 ) ( 284 , 18176 ) ( 512 , 10082 ) ( 568 , 9088 ) ( 1136 , 4544 ) 1290495 645246 161304 40296 20100 18105 1290497 645250 5297 1704 9230 4828 2840 M 8 8 M 18247 M M 2 M 4 71 1 M 2 32 142 P M 1 4 M 20228 4785 4260 M 40360 10210 2 M 161320 9954 8946 M P 284 11 568 13 _____________________________________________________________________________ 874 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18969 2273 ( 1 , 5166529 ) 2583264 2583265 P 1 0 1 1 _____________________________________________________________________________ 18970 2274 ( 2 , 2585538 ) 18972 2274 ( 18 , 287282 ) 18971 18973 2274 2274 1292768 ( 6 , 861846 ) 430920 ( 758 , 6822 ) 3032 143632 1292770 430926 M 143650 3790 M M M 0 4 2 6 2 758 4 _____________________________________________________________________________ 18974 2275 ( 1 , 5175625 ) 18976 2275 ( 7 , 739375 ) 18975 18977 18978 18979 18980 18981 18982 18983 18984 18985 18986 18987 18988 18989 18990 18991 2275 2275 2275 2275 2275 2275 2275 2275 2275 2275 2275 2275 2275 2275 2275 2275 ( 5 , 1035125 ) ( 13 , 398125 ) ( 25 , 207025 ) ( 35 , 147875 ) ( 49 , 105625 ) ( 65 , 79625 ) ( 91 , 56875 ) ( 125 , 41405 ) ( 169 , 30625 ) ( 175 , 29575 ) ( 245 , 21125 ) ( 325 , 15925 ) ( 455 , 11375 ) 2587812 517560 369684 199056 103500 73920 52788 39780 28392 20640 15228 14700 10440 7800 5460 2587813 517565 369691 199069 73955 M 52837 15397 1 65 91 5 P 14875 1 M M M 4453 P ( 845 , 6125 ) 2640 3485 M 4381 35 M 3828 3744 25 M 20765 5915 M M 28483 8125 13 P 39845 M 1 7 M 103525 10685 5 M ( 625 , 8281 ) ( 637 , 8125 ) M P 175 M 5 325 1 455 13 5 875 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 18992 2275 ( 875 , 5915 ) 18994 2275 ( 1225 , 4225 ) 18993 18995 2275 2275 ( 1183 , 4375 ) ( 1625 , 3185 ) 2520 1596 1500 780 3395 2779 2725 2405 M 35 M 7 M M 25 4 18 65 22 _____________________________________________________________________________ 18996 2276 ( 2 , 2590088 ) 18998 2276 ( 8 , 647522 ) 18997 18999 2276 2276 ( 4 , 1295044 ) ( 1138 , 4552 ) 1295043 647520 323757 1707 1295045 647524 323765 2845 M P P M 2 1 2 4 1 569 4 _____________________________________________________________________________ 19000 2277 ( 1 , 5184729 ) 19002 2277 ( 9 , 576081 ) 19001 19003 19004 19005 19006 19007 19008 19009 19010 19011 19012 19013 19014 2277 2277 2277 2277 2277 2277 2277 2277 2277 2277 2277 2277 2277 ( 3 , 1728243 ) ( 11 , 471339 ) ( 23 , 225423 ) ( 27 , 192027 ) ( 33 , 157113 ) 2592364 864120 288036 235664 112700 96000 78540 2592365 864123 M 288045 112723 96027 M 37605 M ( 99 , 52371 ) 26136 26235 M ( 121 , 42849 ) ( 207 , 25047 ) ( 253 , 20493 ) ( 297 , 17457 ) ( 363 , 14283 ) 31964 21364 12420 10120 8580 6960 32045 21485 P 8877 7323 M 3 69 1 99 1 M M M M 23 33 P 12627 10373 11 M 37536 1 9 M ( 69 , 75141 ) ( 81 , 64009 ) 3 M 235675 78573 P 207 33 3 253 876 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19015 2277 ( 529 , 9801 ) 4636 5165 P 19017 2277 ( 759 , 6831 ) 3036 3795 M 19016 19018 19019 19020 19021 2277 2277 2277 2277 2277 ( 621 , 8349 ) ( 891 , 5819 ) ( 1089 , 4761 ) ( 1587 , 3267 ) ( 1863 , 2783 ) 3864 2464 1836 840 460 4485 1 M 3355 2925 2427 2323 69 759 M 11 M 9 M M 3 4 18 23 22 _____________________________________________________________________________ 19022 2278 ( 2 , 2594642 ) 19024 2278 ( 134 , 38726 ) 19023 19025 2278 2278 ( 34 , 152626 ) ( 578 , 8978 ) 1297320 76296 19296 4200 1297322 76330 19430 4778 M M M M 0 4 34 2 2 134 4 _____________________________________________________________________________ 19026 2279 ( 1 , 5193841 ) 19028 2279 ( 53 , 97997 ) 19027 19029 2279 2279 ( 43 , 120787 ) ( 1849 , 2809 ) 2596920 60372 48972 480 2596921 60415 49025 2329 P P M M 2 2 43 1 1 53 4 _____________________________________________________________________________ 19030 2280 ( 2 , 2599200 ) 19032 2280 ( 6 , 866400 ) 19031 19033 19034 19035 2280 2280 2280 2280 ( 4 , 1299600 ) ( 8 , 649800 ) ( 10 , 519840 ) ( 12 , 433200 ) 1299599 649798 433197 324896 259915 216594 1299601 649802 433203 324904 259925 216606 M M M M M P 2 3 8 5 6 1 877 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19036 2280 ( 16 , 324900 ) 162442 162458 M 19038 2280 ( 20 , 259920 ) 129950 129970 M 19037 19039 19040 19041 19042 19043 19044 19045 19046 19047 19048 19049 19050 19051 19052 19053 19054 19055 19056 19057 19058 19059 19060 19061 19062 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 ( 18 , 288800 ) ( 24 , 216600 ) ( 30 , 173280 ) ( 32 , 162450 ) ( 36 , 144400 ) ( 38 , 136800 ) ( 40 , 129960 ) ( 48 , 108300 ) ( 50 , 103968 ) 144391 108288 144409 108312 P 86625 86655 M 72182 72218 M 81209 68381 64960 54126 51959 81241 68419 65000 54174 52009 2 P 1 10 M 24 15 1 2 M 19 M M P 40 6 1 ( 60 , 86640 ) 43290 43350 M 30 ( 76 , 68400 ) 34162 34238 M 38 ( 72 , 72200 ) ( 80 , 64980 ) ( 90 , 57760 ) ( 96 , 54150 ) ( 100 , 51984 ) ( 114 , 45600 ) ( 120 , 43320 ) ( 144 , 36100 ) ( 150 , 34656 ) ( 152 , 34200 ) ( 160 , 32490 ) ( 180 , 28880 ) ( 190 , 27360 ) ( 200 , 25992 ) 36064 32450 28835 27027 25942 22743 21600 17978 17253 17024 16165 14350 13585 12896 36136 32530 28925 27123 26042 22857 21720 18122 17403 17176 16325 14530 13775 13096 M M M M M M M M M M M M M M 8 10 5 3 2 57 120 2 3 152 5 10 95 8 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19063 2280 ( 228 , 22800 ) 11286 19065 2280 ( 288 , 18050 ) 8881 9169 P 8398 8702 M 19064 19066 19067 19068 19069 19070 19071 19072 19073 19074 19075 19076 19077 19078 19079 19080 19081 19082 19083 19084 19085 19086 19087 19088 19089 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 2280 ( 240 , 21660 ) ( 300 , 17328 ) ( 304 , 17100 ) ( 342 , 15200 ) ( 360 , 14440 ) ( 380 , 13680 ) ( 400 , 12996 ) ( 450 , 11552 ) ( 456 , 11400 ) ( 480 , 10830 ) 10710 8514 7429 7040 6650 6298 5551 5472 5175 11514 10950 8814 7771 7400 7030 6698 6001 5928 5655 M 878 M M 114 1 6 38 M 19 M 40 M M P M M 190 2 1 456 15 ( 570 , 9120 ) 4275 4845 M 285 ( 608 , 8550 ) 3971 4579 M 19 ( 600 , 8664 ) ( 684 , 7600 ) ( 720 , 7220 ) ( 722 , 7200 ) ( 760 , 6840 ) ( 800 , 6498 ) ( 900 , 5776 ) ( 912 , 5700 ) ( 950 , 5472 ) ( 1140 , 4560 ) ( 1200 , 4332 ) ( 1368 , 3800 ) ( 1440 , 3610 ) 4032 3458 3250 3239 3040 2849 2438 2394 2261 1710 1566 1216 1085 4632 4142 3970 3961 3800 3649 3338 3306 3211 2850 2766 2584 2525 M M M 24 38 10 P 1 P 1 M M M M M M M M 30 760 2 114 19 570 6 152 5 879 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19090 2280 ( 1444 , 3600 ) 1078 19092 2280 ( 1710 , 3040 ) 665 19091 19093 19094 19095 19096 2280 2280 2280 2280 2280 ( 1520 , 3420 ) ( 1800 , 2888 ) ( 1824 , 2850 ) ( 1900 , 2736 ) ( 2166 , 2400 ) 2522 M 2 950 2470 M 190 544 2344 M 8 513 418 117 2375 M 2337 95 M 2318 57 M 2283 38 M 8 59 3 67 _____________________________________________________________________________ 19097 2281 ( 1 , 5202961 ) 2601480 2601481 P 1 0 1 1 _____________________________________________________________________________ 19098 2282 ( 2 , 2603762 ) 19100 2282 ( 98 , 53138 ) 19099 19101 2282 2282 ( 14 , 371966 ) ( 326 , 15974 ) 1301880 185976 26520 7824 1301882 185990 26618 8150 M M M 0 M 14 2 4 2 326 4 _____________________________________________________________________________ 19102 2283 ( 1 , 5212089 ) 19104 2283 ( 9 , 579121 ) 19103 19105 2283 2283 ( 3 , 1737363 ) ( 761 , 6849 ) 2606044 868680 289556 3044 2606045 868683 289565 3805 M M P P 2 2 761 1 3 1 4 _____________________________________________________________________________ 19106 2284 ( 2 , 2608328 ) 19108 2284 ( 8 , 652082 ) 19107 2284 ( 4 , 1304164 ) 1304163 652080 326037 1304165 652084 326045 M P P 1 4 1 880 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19109 2284 ( 1142 , 4568 ) 1713 2855 M 2 2 571 4 _____________________________________________________________________________ 19110 2285 ( 1 , 5221225 ) 2610612 19112 2285 ( 25 , 208849 ) 104412 19111 19113 2285 2285 ( 5 , 1044245 ) ( 457 , 11425 ) 522120 5484 2610613 522125 104437 5941 M P P M 2 2 5 1 1 457 4 _____________________________________________________________________________ 19114 2286 ( 2 , 2612898 ) 19116 2286 ( 18 , 290322 ) 19115 19117 19118 19119 19120 2286 2286 2286 2286 2286 1306448 ( 6 , 870966 ) 435480 ( 54 , 96774 ) 48360 ( 162 , 32258 ) ( 254 , 20574 ) ( 762 , 6858 ) 145152 16048 10160 3048 1306450 435486 145170 48414 16210 10414 3810 M M M M M M 0 6 6 M 7 2 762 18 2 254 7 _____________________________________________________________________________ 19121 2287 ( 1 , 5230369 ) 2615184 2615185 P 1 0 1 1 _____________________________________________________________________________ 19122 2288 ( 2 , 2617472 ) 19124 2288 ( 8 , 654368 ) 19123 19125 19126 19127 2288 2288 2288 2288 ( 4 , 1308736 ) ( 16 , 327184 ) ( 22 , 237952 ) ( 26 , 201344 ) 1308735 654366 327180 163584 118965 100659 1308737 654370 327188 163600 118987 100685 M M M M M P 2 1 4 16 11 13 881 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19128 2288 ( 32 , 163592 ) 81780 81812 M 4 19130 2288 ( 52 , 100672 ) 50310 50362 M 26 19129 19131 19132 19133 19134 19135 19136 19137 19138 19139 19140 19141 19142 19143 19144 19145 19146 19147 19148 19149 19150 19151 19152 2288 2288 2288 2288 2288 2288 2288 2288 2288 2288 2288 2288 2288 2288 2288 2288 2288 2288 2288 2288 2288 2288 2288 ( 44 , 118976 ) ( 64 , 81796 ) ( 88 , 59488 ) ( 104 , 50336 ) ( 128 , 40898 ) ( 176 , 29744 ) ( 208 , 25168 ) ( 242 , 21632 ) ( 286 , 18304 ) ( 338 , 15488 ) ( 352 , 14872 ) ( 416 , 12584 ) ( 484 , 10816 ) 59466 40866 29700 25116 20385 14784 12480 10695 59510 M 40930 M 29788 20513 12688 7260 7612 M 5166 5650 176 M M 6500 1 M 9295 6084 52 P 14960 7913 44 M 9009 7575 2 M 25220 10937 22 208 P 1 143 P 1 44 M 52 M 2 ( 572 , 9152 ) 4290 4862 M 286 ( 704 , 7436 ) 3366 4070 M 22 ( 676 , 7744 ) ( 832 , 6292 ) ( 968 , 5408 ) ( 1144 , 4576 ) ( 1352 , 3872 ) ( 1408 , 3718 ) ( 1664 , 3146 ) ( 1936 , 2704 ) 3534 2730 2220 1716 1260 1155 741 384 4210 3562 3188 2860 2612 2563 2405 2320 M 2 M 26 M 4 M 572 M 4 M 11 M M 4 13 27 16 31 _____________________________________________________________________________ 882 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19153 2289 ( 1 , 5239521 ) 19155 2289 ( 7 , 748503 ) 19154 19156 19157 19158 19159 19160 19161 19162 19163 19164 19165 2289 2289 2289 2289 2289 2289 2289 2289 2289 2289 2289 ( 3 , 1746507 ) ( 9 , 582169 ) ( 21 , 249501 ) ( 49 , 106929 ) ( 63 , 83167 ) ( 109 , 48069 ) ( 147 , 35643 ) ( 327 , 16023 ) ( 441 , 11881 ) ( 763 , 6867 ) ( 981 , 5341 ) 2619760 873252 374248 291080 124740 53440 41552 23980 17748 7848 5720 3052 2180 2619761 873255 M 374255 53489 P 41615 M 1 7 M 17895 8175 3161 1 M 24089 M M 21 109 3 327 P 1 M M 1 7 P 124761 3815 3 M 291089 6161 P 763 4 9 109 13 _____________________________________________________________________________ 19166 2290 ( 2 , 2622050 ) 19168 2290 ( 50 , 104882 ) 19167 19169 2290 2290 1311024 ( 10 , 524410 ) 262200 ( 458 , 11450 ) 5496 52416 1311026 262210 52466 5954 M M 0 M M 2 10 2 458 4 4 _____________________________________________________________________________ 19170 2291 ( 1 , 5248681 ) 19172 2291 ( 79 , 66439 ) 19171 19173 2291 2291 ( 29 , 180989 ) ( 841 , 6241 ) 2624340 90480 33180 2700 2624341 90509 33259 3541 P M P M 2 2 29 1 1 79 4 _____________________________________________________________________________ 883 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19174 2292 ( 2 , 2626632 ) 19176 2292 ( 6 , 875544 ) 19175 19177 19178 19179 19180 19181 19182 19183 19184 19185 19186 2292 2292 2292 2292 2292 2292 2292 2292 2292 2292 2292 ( 4 , 1313316 ) ( 8 , 656658 ) ( 12 , 437772 ) ( 18 , 291848 ) ( 24 , 218886 ) ( 36 , 145924 ) 1313315 656656 437769 328325 218880 145915 109431 72944 1313317 656660 M 437775 4 M 328333 1 M 145933 P 109455 72980 M M 36445 ( 764 , 6876 ) 3056 3820 M 764 ( 1528 , 3438 ) 955 2483 M 191 ( 1146 , 4584 ) 6685 1719 7067 2865 12 1 ( 72 , 72962 ) ( 382 , 13752 ) 1 3 P 218892 36517 P P 1 M 4 3 191 M 573 4 9 13 _____________________________________________________________________________ 19187 2293 ( 1 , 5257849 ) 2628924 2628925 P 1 0 1 1 _____________________________________________________________________________ 19188 2294 ( 2 , 2631218 ) 19190 2294 ( 74 , 71114 ) 19189 19191 2294 2294 1315608 ( 62 , 84878 ) 42408 ( 1922 , 2738 ) 408 35520 1315610 42470 35594 2330 M M M M 0 4 2 62 2 74 4 _____________________________________________________________________________ 19192 2295 ( 1 , 5267025 ) 2633512 19194 2295 ( 5 , 1053405 ) 526700 19193 2295 ( 3 , 1755675 ) 877836 2633513 877839 526705 M M P 3 5 1 884 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19195 2295 ( 9 , 585225 ) 19197 2295 ( 17 , 309825 ) 19196 19198 19199 19200 19201 19202 19203 19204 19205 19206 19207 19208 19209 19210 19211 19212 19213 19214 19215 19216 19217 19218 19219 19220 19221 2295 2295 2295 2295 2295 2295 2295 2295 2295 2295 2295 2295 2295 2295 2295 2295 2295 2295 2295 2295 2295 2295 2295 2295 2295 ( 15 , 351135 ) ( 25 , 210681 ) ( 27 , 195075 ) ( 45 , 117045 ) ( 51 , 103275 ) 292608 175560 154904 105328 292617 M 175575 M 154921 15 M 105353 97524 97551 M 51612 51663 M 58500 9 58545 17 P 1 27 M 45 51 ( 75 , 70227 ) 35076 35151 M 3 ( 85 , 61965 ) 30940 31025 M 85 ( 81 , 65025 ) ( 135 , 39015 ) ( 153 , 34425 ) ( 225 , 23409 ) ( 243 , 21675 ) ( 255 , 20655 ) ( 289 , 18225 ) ( 405 , 13005 ) ( 425 , 12393 ) ( 459 , 11475 ) 32472 19440 17136 11592 10716 10200 32553 M 19575 M 17289 10959 P 5984 6409 M 5508 5967 M M ( 675 , 7803 ) 3564 4239 M ( 765 , 6885 ) 3060 3825 M ( 729 , 7225 ) ( 867 , 6075 ) ( 1215 , 4335 ) ( 1275 , 4131 ) ( 1377 , 3825 ) ( 1445 , 3645 ) 3248 2604 1560 1428 1224 1100 3977 3471 2775 2703 2601 2545 9 M 9257 6705 153 M 8968 6300 135 M 11817 10455 9 P M M M M M M 3 1 255 45 17 459 27 1 765 3 15 51 153 5 885 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19222 2295 ( 2025 , 2601 ) 288 2313 M 4 27 9 31 _____________________________________________________________________________ 19223 2296 ( 2 , 2635808 ) 19225 2296 ( 8 , 658952 ) 19224 19226 19227 19228 19229 19230 19231 19232 19233 19234 19235 19236 19237 19238 19239 19240 19241 19242 19243 19244 2296 2296 2296 2296 2296 2296 2296 2296 2296 2296 2296 2296 2296 2296 2296 2296 2296 2296 2296 2296 ( 4 , 1317904 ) ( 14 , 376544 ) ( 16 , 329476 ) ( 28 , 188272 ) ( 32 , 164738 ) 1317903 658950 329472 188265 164730 94122 82353 1317905 658954 M 329480 188279 164746 94150 M 82385 M ( 98 , 53792 ) 26847 26945 P ( 112 , 47068 ) ( 164 , 32144 ) ( 196 , 26896 ) ( 224 , 23534 ) ( 328 , 16072 ) ( 392 , 13448 ) 23478 15990 13350 11655 7872 6528 32185 14 1 56 41 1 M 13546 6920 2 M 16154 8200 M M 23590 11879 7 P 47096 2 M 7 328 M 8 ( 574 , 9184 ) 4305 4879 M 287 ( 784 , 6724 ) 2970 3754 M 2 ( 656 , 8036 ) ( 1148 , 4592 ) ( 1312 , 4018 ) ( 1568 , 3362 ) 3690 1722 1353 897 4346 2870 2665 2465 M 82 M 574 M P 14 82 M M 1 8 M 47040 32103 2 M ( 56 , 94136 ) ( 82 , 64288 ) P 4 18 1 41 22 _____________________________________________________________________________ 886 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19245 2297 ( 1 , 5276209 ) 2638104 2638105 P 1 0 1 1 _____________________________________________________________________________ 19246 2298 ( 2 , 2640402 ) 19248 2298 ( 18 , 293378 ) 19247 19249 2298 2298 1320200 ( 6 , 880134 ) 440064 ( 766 , 6894 ) 3064 146680 1320202 440070 M 146698 3830 M M M 0 4 2 6 2 766 4 _____________________________________________________________________________ 19250 2299 ( 1 , 5285401 ) 19252 2299 ( 19 , 278179 ) 19251 19253 19254 19255 19256 2299 2299 2299 2299 2299 2642700 ( 11 , 480491 ) 240240 ( 121 , 43681 ) 21780 ( 209 , 25289 ) ( 361 , 14641 ) ( 1331 , 3971 ) 139080 12540 7140 1320 2642701 240251 M 139099 21901 12749 7501 2651 M P P 1 11 M 19 121 M 1 M 2 5 209 11 7 _____________________________________________________________________________ 19257 2300 ( 2 , 2645000 ) 19259 2300 ( 8 , 661250 ) 19258 19260 19261 19262 19263 19264 19265 2300 2300 2300 2300 2300 2300 2300 ( 4 , 1322500 ) ( 10 , 529000 ) ( 20 , 264500 ) ( 40 , 132250 ) ( 46 , 115000 ) ( 50 , 105800 ) ( 92 , 57500 ) 1322499 661248 330621 264495 132240 1322501 661252 M 330629 P 264505 132260 M 66105 66145 M 52875 52925 M 57477 28704 57523 28796 M M M P 1 5 4 5 20 23 25 92 1 887 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19266 2300 ( 100 , 52900 ) 26400 26500 M 100 19268 2300 ( 200 , 26450 ) 13125 13325 M 25 19267 19269 19270 19271 19272 19273 19274 19275 19276 19277 19278 2300 2300 2300 2300 2300 2300 2300 2300 2300 2300 2300 ( 184 , 28750 ) ( 230 , 23000 ) ( 250 , 21160 ) ( 460 , 11500 ) ( 500 , 10580 ) ( 920 , 5750 ) ( 1000 , 5290 ) ( 1058 , 5000 ) ( 1150 , 4600 ) ( 1250 , 4232 ) ( 2116 , 2500 ) 14283 11385 10455 5520 5040 2415 2145 1971 1725 1491 192 14467 M 11615 M 10705 5980 5540 3335 3145 M M 5 460 20 M 115 M 2875 2308 115 M 3029 2741 23 5 P 1 P 1 M M 575 4 18 4 22 _____________________________________________________________________________ 19279 2301 ( 1 , 5294601 ) 19281 2301 ( 9 , 588289 ) 294140 294149 ( 39 , 135759 ) 67860 67899 19280 19282 19283 19284 19285 19286 19287 19288 19289 19290 2301 2301 2301 2301 2301 2301 2301 2301 2301 2301 ( 3 , 1764867 ) ( 13 , 407277 ) ( 59 , 89739 ) ( 117 , 45253 ) ( 169 , 31329 ) ( 177 , 29913 ) ( 507 , 10443 ) ( 531 , 9971 ) ( 767 , 6903 ) 2647300 882432 203632 44840 22568 15580 14868 4968 4720 3068 2647301 882435 P 203645 M 44899 5251 3835 M 13 M M M 1 3 59 767 1 13 59 P M 3 39 M 15749 5475 1 M 22685 15045 M P 177 888 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19291 2301 ( 1521 , 3481 ) 980 2501 P 4 1 9 13 _____________________________________________________________________________ 19292 2302 ( 2 , 2649602 ) 1324800 1324802 M 0 1 2 1 _____________________________________________________________________________ 19293 2303 ( 1 , 5303809 ) 19295 2303 ( 47 , 112847 ) 19294 19296 19297 19298 19299 2303 2303 2303 2303 2303 2651904 2651905 ( 7 , 757687 ) 378840 378847 ( 49 , 108241 ) 54096 54145 ( 329 , 16121 ) ( 343 , 15463 ) ( 2209 , 2401 ) 56400 56447 7896 7560 96 M 8225 7903 2305 7 M M P P 1 47 M 49 329 M 2 5 1 7 7 _____________________________________________________________________________ 19300 2304 ( 2 , 2654208 ) 19302 2304 ( 6 , 884736 ) 19301 19303 19304 19305 19306 19307 19308 19309 19310 19311 2304 2304 2304 2304 2304 2304 2304 2304 2304 2304 ( 4 , 1327104 ) ( 8 , 663552 ) ( 12 , 442368 ) ( 16 , 331776 ) ( 18 , 294912 ) ( 24 , 221184 ) ( 32 , 165888 ) ( 36 , 147456 ) ( 48 , 110592 ) ( 54 , 98304 ) 1327103 663550 442365 331772 221178 165880 147447 110580 1327105 663554 M 442371 221190 M 55272 55320 M 49179 8 M 82960 49125 6 M 147465 73746 4 M 165896 9 M 12 16 M M 1 3 M 82928 73710 2 M 331780 110604 P 18 3 24 889 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19312 2304 ( 64 , 82944 ) 41440 41504 M 32 19314 2304 ( 96 , 55296 ) 27600 27696 M 48 19313 19315 19316 19317 19318 19319 19320 19321 19322 19323 19324 19325 19326 19327 19328 19329 19330 19331 19332 19333 19334 19335 19336 2304 2304 2304 2304 2304 2304 2304 2304 2304 2304 2304 2304 2304 2304 2304 2304 2304 2304 2304 2304 2304 2304 2304 ( 72 , 73728 ) ( 108 , 49152 ) ( 128 , 41472 ) ( 144 , 36864 ) ( 162 , 32768 ) ( 192 , 27648 ) ( 216 , 24576 ) ( 256 , 20736 ) ( 288 , 18432 ) ( 324 , 16384 ) ( 384 , 13824 ) ( 432 , 12288 ) ( 512 , 10368 ) 36828 24522 20672 18360 16303 13728 12180 10240 36900 M 24630 M 20800 16465 12396 6720 7104 M 4928 5440 96 M M 6360 1 M 9360 5928 72 P 13920 8354 64 M 9072 8030 6 M 18504 10496 36 12 M 256 144 M 2 192 M 24 M 64 ( 576 , 9216 ) 4320 4896 M 288 ( 768 , 6912 ) 3072 3840 M 768 ( 648 , 8192 ) ( 864 , 6144 ) ( 1024 , 5184 ) ( 1152 , 4608 ) ( 1296 , 4096 ) ( 1536 , 3456 ) ( 1728 , 3072 ) ( 2048 , 2592 ) 3772 2640 2080 1728 1400 4420 3504 3104 2880 2696 M 4 M 48 M 32 M 576 M 8 960 2496 M 192 272 2320 M 16 672 2400 M 96 2 35 37 _____________________________________________________________________________ 890 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19337 2305 ( 1 , 5313025 ) 2656512 19339 2305 ( 25 , 212521 ) 106248 19338 19340 2305 2305 ( 5 , 1062605 ) ( 461 , 11525 ) 531300 5532 2656513 531305 106273 5993 M M P P 2 2 5 461 1 1 4 _____________________________________________________________________________ 19341 2306 ( 2 , 2658818 ) 1329408 1329410 M 0 1 2 1 _____________________________________________________________________________ 19342 2307 ( 1 , 5322249 ) 19344 2307 ( 9 , 591361 ) 19343 19345 2307 2307 ( 3 , 1774083 ) ( 769 , 6921 ) 2661124 887040 295676 3076 2661125 887043 295685 3845 M M P P 2 2 769 1 3 1 4 _____________________________________________________________________________ 19346 2308 ( 2 , 2663432 ) 19348 2308 ( 8 , 665858 ) 19347 19349 2308 2308 ( 4 , 1331716 ) ( 1154 , 4616 ) 1331715 665856 332925 1731 1331717 665860 332933 2885 M M P P 2 1 2 4 1 577 4 _____________________________________________________________________________ 19350 2309 ( 1 , 5331481 ) 2665740 2665741 P 1 0 1 1 _____________________________________________________________________________ 19351 2310 ( 2 , 2668050 ) 19353 2310 ( 10 , 533610 ) 19352 2310 ( 6 , 889350 ) 1334024 444672 266800 1334026 444678 266810 M M M 6 10 2 891 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19354 2310 ( 14 , 381150 ) 190568 190582 M 14 19356 2310 ( 22 , 242550 ) 121264 121286 M 22 19355 19357 19358 19359 19360 19361 19362 19363 19364 19365 19366 19367 19368 19369 19370 19371 19372 19373 19374 19375 19376 19377 19378 19379 19380 2310 2310 2310 2310 2310 2310 2310 2310 2310 2310 2310 2310 2310 2310 2310 2310 2310 2310 2310 2310 2310 2310 2310 2310 2310 ( 18 , 296450 ) ( 30 , 177870 ) ( 42 , 127050 ) ( 50 , 106722 ) 148216 148234 M 88920 88950 M 53336 53386 M 63504 63546 2 30 M 42 2 ( 66 , 80850 ) 40392 40458 M 66 ( 90 , 59290 ) 29600 29690 M 10 ( 70 , 76230 ) ( 98 , 54450 ) ( 110 , 48510 ) ( 126 , 42350 ) ( 150 , 35574 ) ( 154 , 34650 ) ( 198 , 26950 ) ( 210 , 25410 ) ( 242 , 22050 ) ( 294 , 18150 ) ( 330 , 16170 ) ( 350 , 15246 ) ( 450 , 11858 ) ( 462 , 11550 ) ( 490 , 10890 ) 38080 27176 24200 21112 17712 17248 13376 12600 10904 38150 M 27274 M 24310 M 17862 17402 M 7448 7798 M 5544 5200 6154 6006 5690 22 M 9222 5704 154 M 12810 8250 6 M 13574 M M M M M 210 6 14 2 462 10 4576 5126 M 22 ( 726 , 7350 ) 3312 4038 M 6 ( 770 , 6930 ) 3920 3080 4550 3850 M M 2 330 ( 550 , 9702 ) ( 630 , 8470 ) 110 14 M 8928 7920 2 M 21238 11146 70 70 770 892 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19381 2310 ( 882 , 6050 ) 19383 2310 ( 1050 , 5082 ) 19382 19384 19385 19386 19387 19388 19389 19390 2310 2310 2310 2310 2310 2310 2310 2310 ( 990 , 5390 ) ( 1078 , 4950 ) ( 1210 , 4410 ) ( 1386 , 3850 ) ( 1470 , 3630 ) ( 1650 , 3234 ) ( 1694 , 3150 ) ( 2178 , 2450 ) 2584 2200 2016 1936 1600 1232 1080 3466 M 3190 3066 M 110 M 3014 42 M 2810 22 M 2618 2550 2 10 M 154 M 30 792 2442 M 66 136 2314 M 2 728 2422 M 14 0 40 40 _____________________________________________________________________________ 19391 2311 ( 1 , 5340721 ) 2670360 2670361 P 1 0 1 1 _____________________________________________________________________________ 19392 2312 ( 2 , 2672672 ) 19394 2312 ( 8 , 668168 ) 334080 334088 ( 32 , 167042 ) 83505 83537 19393 19395 19396 19397 19398 19399 19400 19401 19402 19403 2312 2312 2312 2312 2312 2312 2312 2312 2312 2312 ( 4 , 1336336 ) ( 16 , 334084 ) ( 34 , 157216 ) 1336335 668166 167034 78591 1336337 668170 39338 ( 272 , 19652 ) 9690 9962 ( 136 , 39304 ) ( 544 , 9826 ) ( 578 , 9248 ) ( 1156 , 4624 ) 19584 4641 4335 1734 P 78625 39270 19720 5185 4913 2890 2 M 167050 ( 68 , 78608 ) M P 8 M 1 M 17 M M M M M M 2 34 34 136 17 289 578 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 893 2 10 12 _____________________________________________________________________________ 19404 2313 ( 1 , 5349969 ) 19406 2313 ( 9 , 594441 ) 297216 ( 81 , 66049 ) 32984 ( 771 , 6939 ) 3084 19405 19407 19408 19409 19410 2313 2313 2313 2313 2313 ( 3 , 1783323 ) ( 27 , 198147 ) ( 257 , 20817 ) 2674984 891660 99060 10280 2674985 891663 M 297225 P M 1 M 2 1 9 M 33065 3855 3 M 99087 10537 P 5 771 3 257 7 _____________________________________________________________________________ 19411 2314 ( 2 , 2677298 ) 19413 2314 ( 178 , 30082 ) 19412 19414 2314 2314 1338648 ( 26 , 205946 ) 102960 ( 338 , 15842 ) 7752 14952 1338650 102986 15130 8090 M M M 0 M 4 26 2 2 178 4 _____________________________________________________________________________ 19415 2315 ( 1 , 5359225 ) 2679612 19417 2315 ( 25 , 214369 ) 107172 19416 19418 2315 2315 ( 5 , 1071845 ) ( 463 , 11575 ) 535920 5556 2679613 535925 107197 6019 M M P P 2 2 5 463 1 1 4 _____________________________________________________________________________ 19419 2316 ( 2 , 2681928 ) 19421 2316 ( 6 , 893976 ) 19420 19422 2316 2316 ( 4 , 1340964 ) ( 8 , 670482 ) 1340963 670480 446985 335237 1340965 670484 446991 335245 M M P P 4 3 1 1 894 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19423 2316 ( 12 , 446988 ) 223488 223500 M 19425 2316 ( 24 , 223494 ) 111735 111759 M 19424 19426 19427 19428 19429 19430 19431 2316 2316 2316 2316 2316 2316 2316 ( 18 , 297992 ) ( 36 , 148996 ) 148987 74480 149005 P 74516 M 1 37213 ( 772 , 6948 ) 3088 3860 M 772 ( 1544 , 3474 ) 965 2509 M 193 ( 1158 , 4632 ) 6755 1737 7141 2895 P 4 ( 72 , 74498 ) ( 386 , 13896 ) 37285 12 1 M 3 193 M 579 4 9 13 _____________________________________________________________________________ 19432 2317 ( 1 , 5368489 ) 19434 2317 ( 49 , 109561 ) 19433 19435 2317 2317 2684244 ( 7 , 766927 ) 383460 ( 331 , 16219 ) 7944 54756 2684245 383467 54805 8275 M M P P 2 1 2 7 1 331 4 _____________________________________________________________________________ 19436 2318 ( 2 , 2686562 ) 19438 2318 ( 122 , 44042 ) 19437 19439 2318 2318 ( 38 , 141398 ) ( 722 , 7442 ) 1343280 70680 21960 3360 1343282 70718 22082 4082 M M M M 0 4 38 2 2 122 4 _____________________________________________________________________________ 19440 2319 ( 1 , 5377761 ) 19442 2319 ( 9 , 597529 ) 19441 19443 2319 2319 ( 3 , 1792587 ) ( 773 , 6957 ) 2688880 896292 298760 3092 2688881 896295 298769 3865 M M P P 773 1 3 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 895 2 2 4 _____________________________________________________________________________ 19444 2320 ( 2 , 2691200 ) 19446 2320 ( 8 , 672800 ) 19445 19447 19448 19449 19450 19451 19452 19453 19454 19455 19456 19457 19458 19459 19460 19461 19462 19463 19464 19465 19466 19467 19468 2320 2320 2320 2320 2320 2320 2320 2320 2320 2320 2320 2320 2320 2320 2320 2320 2320 2320 2320 2320 2320 2320 2320 ( 4 , 1345600 ) ( 10 , 538240 ) ( 16 , 336400 ) ( 20 , 269120 ) ( 32 , 168200 ) ( 40 , 134560 ) ( 50 , 107648 ) 1345599 672798 336396 269115 168192 134550 1345601 672802 M 336404 2 M 269125 168208 5 M 134570 84116 M 53799 53849 P 67300 16 M 4 M 1 46371 46429 M 29 ( 80 , 67280 ) 33600 33680 M 80 ( 100 , 53824 ) ( 116 , 46400 ) ( 128 , 42050 ) ( 160 , 33640 ) ( 200 , 26912 ) ( 232 , 23200 ) ( 290 , 18560 ) ( 320 , 16820 ) ( 400 , 13456 ) ( 464 , 11600 ) 42018 26862 23142 20961 16740 13356 11484 42082 M 26962 16900 M 6528 6928 M 6032 20 M 9425 5568 1 M 13556 8570 58 P 9135 8250 2 M 21089 11716 2 M 23258 M M M 4 116 145 10 16 464 ( 580 , 9280 ) 4350 4930 M 290 ( 800 , 6728 ) 2964 3764 M 4 ( 640 , 8410 ) 3885 4525 M 10 20 ( 58 , 92800 ) ( 64 , 84100 ) 1 4 M 84084 67260 P 5 896 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19469 2320 ( 928 , 5800 ) 19471 2320 ( 1450 , 3712 ) 19470 19472 19473 19474 2320 2320 2320 2320 ( 1160 , 4640 ) ( 1600 , 3364 ) ( 1682 , 3200 ) ( 1856 , 2900 ) 2436 1740 1131 3364 2900 2581 M M 2482 M 522 2378 M 2441 580 M 882 759 116 29 2 P 1 4 27 58 31 _____________________________________________________________________________ 19475 2321 ( 1 , 5387041 ) 19477 2321 ( 121 , 44521 ) 19476 19478 2321 2321 2693520 ( 11 , 489731 ) 244860 ( 211 , 25531 ) 12660 22200 2693521 244871 22321 P 12871 M M 2 P 1 1 11 211 2 4 _____________________________________________________________________________ 19479 2322 ( 2 , 2695842 ) 19481 2322 ( 18 , 299538 ) 19480 19482 19483 19484 19485 19486 19487 19488 2322 2322 2322 2322 2322 2322 2322 2322 1347920 ( 6 , 898614 ) 449304 ( 54 , 99846 ) 49896 ( 86 , 62694 ) ( 162 , 33282 ) ( 258 , 20898 ) ( 486 , 11094 ) ( 774 , 6966 ) ( 1458 , 3698 ) 149760 31304 16560 10320 5304 3096 1120 1347922 449310 149778 49950 M 31390 5790 3870 2578 6 M 54 M 16722 10578 M M 18 M 6 M M 0 18 86 M M 2 258 774 10 2 10 _____________________________________________________________________________ 19489 2323 ( 1 , 5396329 ) 2698164 2698165 P 1 897 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19490 2323 ( 23 , 234623 ) 117300 19492 2323 ( 529 , 10201 ) 4836 19491 2323 ( 101 , 53429 ) 26664 117323 26765 5365 P M M 2 23 2 101 1 4 _____________________________________________________________________________ 19493 2324 ( 2 , 2700488 ) 19495 2324 ( 8 , 675122 ) 337557 337565 ( 28 , 192892 ) 96432 96460 19494 19496 19497 19498 19499 19500 19501 19502 19503 19504 19505 2324 2324 2324 2324 2324 2324 2324 2324 2324 2324 2324 ( 4 , 1350244 ) ( 14 , 385784 ) ( 56 , 96446 ) ( 98 , 55112 ) ( 166 , 32536 ) ( 196 , 27556 ) ( 332 , 16268 ) ( 392 , 13778 ) ( 664 , 8134 ) ( 1162 , 4648 ) 1350243 675120 192885 48195 27507 16185 13680 7968 6693 3735 1743 1350245 675124 M P 192899 M 48251 7 1 M 13876 8300 2905 M P 16351 4399 1 M 27605 7085 P M M 4 1 7 28 83 4 332 P 1 M 83 M 4 9 581 13 _____________________________________________________________________________ 19506 2325 ( 1 , 5405625 ) 2702812 19508 2325 ( 5 , 1081125 ) 540560 19507 19509 19510 19511 19512 2325 2325 2325 2325 2325 ( 3 , 1801875 ) ( 9 , 600625 ) ( 15 , 360375 ) ( 25 , 216225 ) ( 31 , 174375 ) 900936 300308 180180 108100 87172 2702813 900939 540565 300317 180195 108125 87203 M M P M M M P 3 1 1 5 15 25 31 898 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19513 2325 ( 45 , 120125 ) 19515 2325 ( 93 , 58125 ) 19514 19516 19517 19518 19519 19520 19521 19522 19523 19524 19525 19526 19527 2325 2325 2325 2325 2325 2325 2325 2325 2325 2325 2325 2325 2325 ( 75 , 72075 ) ( 125 , 43245 ) ( 155 , 34875 ) ( 225 , 24025 ) ( 279 , 19375 ) ( 375 , 14415 ) ( 465 , 11625 ) 60040 36000 29016 21560 17360 11900 60085 36075 M M 29109 75 M 21685 93 M 17515 5 M 12125 9548 9827 M 5580 6045 M 7020 5 7395 155 M 31 M 15 ( 625 , 8649 ) 4012 4637 P 1 ( 961 , 5625 ) 2332 3293 P 1 ( 775 , 6975 ) ( 1125 , 4805 ) ( 1395 , 3875 ) ( 1875 , 2883 ) 3100 1840 1240 504 3875 M 2965 2635 2379 465 775 M M M 25 5 155 4 18 3 22 _____________________________________________________________________________ 19528 2326 ( 2 , 2705138 ) 1352568 1352570 M 0 1 2 1 _____________________________________________________________________________ 19529 2327 ( 1 , 5414929 ) 19531 2327 ( 169 , 32041 ) 19530 19532 2327 2327 2707464 ( 13 , 416533 ) 208260 ( 179 , 30251 ) 15036 15936 2707465 208273 16105 15215 P M 2 M P 1 1 2 13 179 4 _____________________________________________________________________________ 19533 2328 ( 2 , 2709792 ) 1354895 1354897 P 1 899 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19534 2328 ( 4 , 1354896 ) 19536 2328 ( 8 , 677448 ) 19535 19537 19538 19539 19540 19541 19542 19543 19544 19545 19546 19547 19548 19549 19550 19551 19552 19553 19554 2328 2328 2328 2328 2328 2328 2328 2328 2328 2328 2328 2328 2328 2328 2328 2328 2328 2328 2328 ( 6 , 903264 ) ( 12 , 451632 ) ( 16 , 338724 ) ( 18 , 301088 ) ( 24 , 225816 ) ( 32 , 169362 ) ( 36 , 150544 ) ( 48 , 112908 ) ( 72 , 75272 ) ( 96 , 56454 ) ( 144 , 37636 ) ( 194 , 27936 ) ( 288 , 18818 ) ( 388 , 13968 ) ( 582 , 9312 ) ( 776 , 6984 ) ( 1164 , 4656 ) ( 1552 , 3492 ) ( 1746 , 3104 ) 677446 451629 338720 225810 169354 150535 112896 677450 M 451635 M 338728 225822 169370 150553 112920 56478 M 13871 9265 6790 4365 3104 1746 970 679 75290 9553 2522 2425 8 3 M P 1 M 6 2 97 194 M 291 M 776 M 582 M M 24 2 M 14065 2910 1 M 18890 3880 M M 28275 4947 1 M 37672 7178 2 P 56430 18746 6 M P 28179 8 M 84697 37600 3 M 84665 75254 2 194 4 18 97 22 _____________________________________________________________________________ 19555 2329 ( 1 , 5424241 ) 19557 2329 ( 137 , 39593 ) 19556 19558 2329 2329 2712120 ( 17 , 319073 ) 159528 ( 289 , 18769 ) 9240 19728 2712121 159545 19865 9529 P M M P 1 17 1 137 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 900 2 2 4 _____________________________________________________________________________ 19559 2330 ( 2 , 2714450 ) 19561 2330 ( 50 , 108578 ) 19560 19562 2330 2330 1357224 ( 10 , 542890 ) 271440 ( 466 , 11650 ) 5592 54264 1357226 271450 54314 6058 M M M 0 M 2 4 10 2 466 4 _____________________________________________________________________________ 19563 2331 ( 1 , 5433561 ) 19565 2331 ( 7 , 776223 ) 19564 19566 19567 19568 19569 19570 19571 19572 19573 19574 19575 19576 19577 19578 19579 19580 19581 2331 2331 2331 2331 2331 2331 2331 2331 2331 2331 2331 2331 2331 2331 2331 2331 2331 ( 3 , 1811187 ) ( 9 , 603729 ) ( 21 , 258741 ) ( 27 , 201243 ) ( 37 , 146853 ) ( 49 , 110889 ) ( 63 , 86247 ) ( 81 , 67081 ) ( 111 , 48951 ) ( 147 , 36963 ) ( 189 , 28749 ) ( 259 , 20979 ) ( 333 , 16317 ) ( 441 , 12321 ) 2716780 905592 388108 301860 129360 100608 73408 55420 43092 33500 24420 18408 14280 10360 7992 5940 2716781 905595 M 388115 73445 M 55469 21 M 3 37 P 43155 1 M 33581 63 P 24531 1 M 18555 M 14469 6381 9 M 100635 M M 21 259 333 9 ( 567 , 9583 ) 4508 5075 M 7 ( 999 , 5439 ) 2220 3219 M 111 ( 777 , 6993 ) 3108 3885 M 111 3 M M 1 7 M 129381 8325 3 M 301869 10619 P 777 901 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19582 2331 ( 1323 , 4107 ) 1392 19584 2331 ( 1813 , 2997 ) 592 19583 2331 ( 1369 , 3969 ) 1300 2715 2669 2405 M 3 P M 1 4 18 37 22 _____________________________________________________________________________ 19585 2332 ( 2 , 2719112 ) 19587 2332 ( 8 , 679778 ) 339885 339893 ( 44 , 123596 ) 61776 61820 19586 19588 19589 19590 19591 19592 19593 19594 19595 19596 19597 2332 2332 2332 2332 2332 2332 2332 2332 2332 2332 2332 ( 4 , 1359556 ) ( 22 , 247192 ) ( 88 , 61798 ) ( 106 , 51304 ) ( 212 , 25652 ) ( 242 , 22472 ) ( 424 , 12826 ) ( 484 , 11236 ) ( 968 , 5618 ) ( 1166 , 4664 ) 1359555 679776 123585 30855 25599 12720 11115 6201 5376 2325 1749 1359557 679780 M P 123607 M 30943 6625 M 4 1 11 44 11 53 M 11357 2915 M M 12932 3293 1 M 25705 5860 P 212 P 1 53 M P 1 M 4 9 4 583 13 _____________________________________________________________________________ 19598 2333 ( 1 , 5442889 ) 2721444 2721445 P 1 0 1 1 _____________________________________________________________________________ 19599 2334 ( 2 , 2723778 ) 19601 2334 ( 18 , 302642 ) 19600 19602 2334 2334 1361888 ( 6 , 907926 ) 453960 ( 778 , 7002 ) 3112 151312 1361890 453966 151330 3890 M M M M 6 778 2 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 902 0 4 4 _____________________________________________________________________________ 19603 2335 ( 1 , 5452225 ) 2726112 19605 2335 ( 25 , 218089 ) 109032 19604 19606 2335 2335 ( 5 , 1090445 ) ( 467 , 11675 ) 545220 5604 2726113 545225 109057 6071 M P P M 2 2 5 1 1 467 4 _____________________________________________________________________________ 19607 2336 ( 2 , 2728448 ) 19609 2336 ( 8 , 682112 ) 341052 341060 ( 32 , 170528 ) 85248 85280 19608 19610 19611 19612 19613 19614 19615 19616 19617 19618 19619 2336 2336 2336 2336 2336 2336 2336 2336 2336 2336 2336 ( 4 , 1364224 ) ( 16 , 341056 ) ( 64 , 85264 ) ( 128 , 42632 ) ( 146 , 37376 ) ( 256 , 21316 ) ( 292 , 18688 ) ( 512 , 10658 ) ( 584 , 9344 ) ( 1168 , 4672 ) 1364223 682110 170520 42600 21252 18615 10530 9198 5073 4380 1752 1364225 682114 M M 42664 8 8 M 10786 9490 2920 M M 18761 M 1 4 M 21380 4964 2 M 170536 5585 P 32 4 73 M 2 146 P 1 M 292 M 2 11 584 13 _____________________________________________________________________________ 19620 2337 ( 1 , 5461569 ) 19622 2337 ( 9 , 606841 ) 19621 19623 2337 2337 ( 3 , 1820523 ) ( 19 , 287451 ) 2730784 910260 303416 143716 2730785 910263 303425 143735 M P M P 1 3 1 19 903 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19624 2337 ( 41 , 133209 ) 19626 2337 ( 123 , 44403 ) 19625 19627 19628 19629 19630 19631 19632 2337 2337 2337 2337 2337 2337 2337 ( 57 , 95817 ) ( 171 , 31939 ) ( 361 , 15129 ) ( 369 , 14801 ) 66584 47880 22140 15884 7384 7216 66625 47937 16055 7745 M ( 1681 , 3249 ) 784 2465 P 19 1 M 3895 3063 123 M P 3116 1980 57 M ( 779 , 7011 ) ( 1083 , 5043 ) 41 M 22263 7585 M 41 779 M 4 9 1 3 13 _____________________________________________________________________________ 19633 2338 ( 2 , 2733122 ) 19635 2338 ( 98 , 55778 ) 19634 19636 2338 2338 ( 14 , 390446 ) ( 334 , 16366 ) 1366560 195216 27840 8016 1366562 195230 27938 8350 M M M 0 M 14 2 4 2 334 4 _____________________________________________________________________________ 19637 2339 ( 1 , 5470921 ) 2735460 2735461 P 1 0 1 1 _____________________________________________________________________________ 19638 2340 ( 2 , 2737800 ) 19640 2340 ( 6 , 912600 ) 19639 19641 19642 19643 19644 2340 2340 2340 2340 2340 ( 4 , 1368900 ) ( 8 , 684450 ) ( 10 , 547560 ) ( 12 , 456300 ) ( 18 , 304200 ) 1368899 684448 456297 342221 273775 228144 152091 1368901 684452 456303 342229 273785 228156 152109 M M P M M M P 4 1 3 1 5 12 9 904 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19645 2340 ( 20 , 273780 ) 136880 136900 M 20 19647 2340 ( 26 , 210600 ) 105287 105313 M 13 19646 19648 19649 19650 19651 19652 19653 19654 19655 19656 19657 19658 19659 19660 19661 19662 19663 19664 19665 19666 19667 19668 19669 19670 19671 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 ( 24 , 228150 ) ( 30 , 182520 ) ( 36 , 152100 ) ( 40 , 136890 ) ( 50 , 109512 ) ( 52 , 105300 ) ( 54 , 101400 ) 114063 114087 M 91245 91275 M 68425 68465 M 76032 54731 52624 50673 76068 54781 52676 50727 3 15 M P M M 36 5 1 52 3 ( 60 , 91260 ) 45600 45660 M 60 ( 78 , 70200 ) 35061 35139 M 39 ( 72 , 76050 ) ( 90 , 60840 ) ( 100 , 54756 ) ( 104 , 52650 ) ( 108 , 50700 ) ( 120 , 45630 ) ( 130 , 42120 ) ( 150 , 36504 ) ( 156 , 35100 ) ( 162 , 33800 ) ( 180 , 30420 ) ( 200 , 27378 ) ( 216 , 25350 ) ( 234 , 23400 ) ( 260 , 21060 ) ( 270 , 20280 ) 37989 30375 27328 26273 25296 22755 20995 18177 17472 16819 15120 13589 12567 11583 10400 10005 38061 30465 27428 26377 25404 22875 21125 18327 17628 16981 15300 13789 12783 11817 10660 10275 M M M M M M M M M 9 45 4 13 12 15 65 3 156 P 1 P 1 M M M M M 180 3 117 260 15 905 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19672 2340 ( 300 , 18252 ) 8976 9276 M 12 19674 2340 ( 324 , 16900 ) 8288 8612 M 4 19673 19675 19676 19677 19678 19679 19680 19681 19682 19683 19684 19685 19686 19687 19688 19689 19690 19691 19692 19693 19694 19695 19696 19697 19698 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 2340 ( 312 , 17550 ) ( 338 , 16200 ) ( 360 , 15210 ) ( 390 , 14040 ) ( 450 , 12168 ) ( 468 , 11700 ) ( 520 , 10530 ) ( 540 , 10140 ) 8619 7931 7425 6825 5859 5616 5005 4800 8931 8269 7785 7215 6309 6084 5525 5340 M P M M ( 650 , 8424 ) 3887 4537 M ( 702 , 7800 ) ( 780 , 7020 ) ( 810 , 6760 ) ( 900 , 6084 ) ( 936 , 5850 ) ( 1014 , 5400 ) ( 1080 , 5070 ) ( 1170 , 4680 ) ( 1300 , 4212 ) ( 1350 , 4056 ) ( 1352 , 4050 ) ( 1404 , 3900 ) ( 1560 , 3510 ) 3712 3549 3120 2975 2592 2457 2193 1995 1755 1456 1353 1349 1248 975 4388 4251 3900 3785 3492 3393 3207 3075 2925 2756 2703 2701 2652 2535 9 468 M M ( 676 , 8100 ) 195 M 4863 4549 45 M 4263 3901 1 M ( 600 , 9126 ) ( 648 , 8450 ) 39 P M M M M M M M M M M M P M M 65 60 3 1 13 4 39 780 5 36 117 3 15 585 52 3 1 156 195 906 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19699 2340 ( 1620 , 3380 ) 880 2500 M 20 19701 2340 ( 1800 , 3042 ) 621 2421 M 9 19700 19702 19703 19704 2340 2340 2340 2340 ( 1690 , 3240 ) ( 1950 , 2808 ) ( 2028 , 2700 ) ( 2106 , 2600 ) 775 429 336 247 2465 M 2379 5 M 2364 39 M 2353 12 M 8 59 13 67 _____________________________________________________________________________ 19705 2341 ( 1 , 5480281 ) 2740140 2740141 P 1 0 1 1 _____________________________________________________________________________ 19706 2342 ( 2 , 2742482 ) 1371240 1371242 M 0 1 2 1 _____________________________________________________________________________ 19707 2343 ( 1 , 5489649 ) 19709 2343 ( 9 , 609961 ) 304976 304985 ( 33 , 166353 ) 83160 83193 19708 19710 19711 19712 19713 19714 19715 19716 19717 19718 19719 2343 2343 2343 2343 2343 2343 2343 2343 2343 2343 2343 ( 3 , 1829883 ) ( 11 , 499059 ) ( 71 , 77319 ) ( 99 , 55451 ) ( 121 , 45369 ) ( 213 , 25773 ) ( 363 , 15123 ) ( 639 , 8591 ) ( 781 , 7029 ) ( 1089 , 5041 ) 2744824 914940 249524 38624 27676 22624 12780 7380 3976 3124 1976 2744825 914943 P 249535 M 38695 4615 3905 3065 M 11 M M M P 1 3 71 781 1 1 11 71 P M 3 33 M 22745 7743 1 M 27775 12993 M P 213 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 907 4 9 13 _____________________________________________________________________________ 19720 2344 ( 2 , 2747168 ) 19722 2344 ( 8 , 686792 ) 343392 343400 ( 32 , 171698 ) 85833 85865 19721 19723 19724 19725 19726 2344 2344 2344 2344 2344 ( 4 , 1373584 ) ( 16 , 343396 ) ( 586 , 9376 ) ( 1172 , 4688 ) 1373583 686790 171690 4395 1758 1373585 686794 M 2930 2 M 171706 4981 P P M 1 8 M 2 1 293 M 2 5 586 7 _____________________________________________________________________________ 19727 2345 ( 1 , 5499025 ) 19729 2345 ( 7 , 785575 ) 392784 392791 ( 35 , 157115 ) 78540 78575 19728 19730 19731 19732 19733 19734 19735 19736 19737 19738 19739 2345 2345 2345 2345 2345 2345 2345 2345 2345 2345 2345 ( 5 , 1099805 ) ( 25 , 219961 ) ( 49 , 112225 ) ( 67 , 82075 ) ( 175 , 31423 ) ( 245 , 22445 ) ( 335 , 16415 ) ( 469 , 11725 ) ( 1225 , 4489 ) ( 1675 , 3283 ) 2749512 549900 109968 56088 41004 15624 11100 2749513 549905 M M 56137 41071 M 1632 2857 P 804 2479 1 35 1 67 M 8375 6097 P M 15799 7 M 5 335 M M 4 1 7 P 8040 5628 5 M 109993 11345 P 469 1 9 67 13 _____________________________________________________________________________ 19740 2346 ( 2 , 2751858 ) 1375928 1375930 M 2 908 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19741 2346 ( 6 , 917286 ) 458640 458646 19743 2346 ( 34 , 161874 ) 80920 80954 M 26928 27030 M 19742 19744 19745 19746 19747 19748 19749 19750 19751 19752 2346 2346 2346 2346 2346 2346 2346 2346 2346 2346 ( 18 , 305762 ) ( 46 , 119646 ) ( 102 , 53958 ) ( 138 , 39882 ) ( 306 , 17986 ) ( 414 , 13294 ) ( 578 , 9522 ) ( 782 , 7038 ) ( 1058 , 5202 ) ( 1734 , 3174 ) 152872 59800 19872 8840 6440 4472 3128 2072 720 M 152890 59846 9146 5050 3910 3130 2454 M 2 34 M 20010 6854 6 M 46 102 M 34 M 46 M 2 M 782 M M 138 2 0 13 6 13 _____________________________________________________________________________ 19753 2347 ( 1 , 5508409 ) 2754204 2754205 P 1 0 1 1 _____________________________________________________________________________ 19754 2348 ( 2 , 2756552 ) 19756 2348 ( 8 , 689138 ) 19755 19757 2348 2348 ( 4 , 1378276 ) ( 1174 , 4696 ) 1378275 689136 344565 1761 1378277 689140 344573 2935 M M P P 2 1 2 4 1 587 4 _____________________________________________________________________________ 19758 2349 ( 1 , 5517801 ) 19760 2349 ( 9 , 613089 ) 19759 19761 2349 2349 ( 3 , 1839267 ) ( 27 , 204363 ) 2758900 919632 306540 102168 2758901 919635 306549 102195 M M M P 3 9 1 27 909 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19762 2349 ( 29 , 190269 ) 19764 2349 ( 87 , 63423 ) 19763 19765 19766 19767 19768 19769 19770 2349 2349 2349 2349 2349 2349 2349 ( 81 , 68121 ) ( 243 , 22707 ) ( 261 , 21141 ) 95120 34020 31668 11232 10440 95149 34101 11475 4149 M ( 841 , 6561 ) 2860 3701 P ( 2187 , 2523 ) 168 3915 87 M 3420 3132 81 M ( 729 , 7569 ) ( 783 , 7047 ) 29 M 31755 10701 M 27 M 9 M 2355 261 783 1 M 2 11 3 13 _____________________________________________________________________________ 19771 2350 ( 2 , 2761250 ) 19773 2350 ( 50 , 110450 ) 19772 19774 19775 19776 19777 2350 2350 2350 2350 2350 ( 10 , 552250 ) 1380624 276120 55200 1380626 276130 55250 ( 94 , 58750 ) 29328 29422 ( 470 , 11750 ) 5640 6110 ( 250 , 22090 ) ( 1250 , 4418 ) 10920 1584 11170 2834 M M M 10 50 M M 2 94 M 10 470 M 0 7 2 7 _____________________________________________________________________________ 19778 2351 ( 1 , 5527201 ) 2763600 2763601 P 1 0 1 1 _____________________________________________________________________________ 19779 2352 ( 2 , 2765952 ) 19781 2352 ( 6 , 921984 ) 19780 19782 2352 2352 ( 4 , 1382976 ) ( 8 , 691488 ) 1382975 691486 460989 345740 1382977 691490 460995 345748 M M M P 2 3 4 1 910 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19783 2352 ( 12 , 460992 ) 230490 230502 M 6 19785 2352 ( 16 , 345744 ) 172864 172880 M 16 19784 19786 19787 19788 19789 19790 19791 19792 19793 19794 19795 19796 19797 19798 19799 19800 19801 19802 19803 19804 19805 19806 19807 19808 19809 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 ( 14 , 395136 ) ( 18 , 307328 ) ( 24 , 230496 ) ( 28 , 197568 ) ( 32 , 172872 ) ( 36 , 153664 ) ( 42 , 131712 ) ( 48 , 115248 ) 197561 153655 115236 197575 M 153673 P 115260 98770 98798 M 76814 76850 M 86420 65835 57600 86452 1 M 12 14 M 65877 57648 7 4 2 M 21 M 48 ( 56 , 98784 ) 49364 49420 M 28 ( 72 , 76832 ) 38380 38452 M 4 ( 64 , 86436 ) ( 84 , 65856 ) ( 96 , 57624 ) ( 98 , 56448 ) ( 112 , 49392 ) ( 126 , 43904 ) ( 128 , 43218 ) ( 144 , 38416 ) ( 168 , 32928 ) ( 192 , 28812 ) ( 196 , 28224 ) ( 224 , 24696 ) ( 252 , 21952 ) ( 288 , 19208 ) ( 294 , 18816 ) 43186 32886 28764 28175 24640 21889 21545 19136 16380 14310 14014 12236 10850 9460 9261 43250 32970 28860 28273 24752 M M 49 M 112 M 7 P 19280 1 M 16548 16 M 14502 84 M 14210 6 M 12460 9555 12 M 21673 9748 42 M 22015 11102 2 98 M M M M 28 4 14 147 911 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19810 2352 ( 336 , 16464 ) 8064 8400 M 336 19812 2352 ( 392 , 14112 ) 6860 7252 M 196 19811 19813 19814 19815 19816 19817 19818 19819 19820 19821 19822 19823 19824 19825 19826 19827 19828 19829 19830 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 2352 ( 384 , 14406 ) ( 448 , 12348 ) ( 504 , 10976 ) 7011 5950 5236 7395 M 6398 5740 3 M 14 M 28 ( 576 , 9604 ) 4514 5090 M 2 ( 672 , 8232 ) 3780 4452 M 84 ( 588 , 9408 ) ( 686 , 8064 ) ( 784 , 7056 ) ( 882 , 6272 ) ( 896 , 6174 ) ( 1008 , 5488 ) ( 1152 , 4802 ) ( 1176 , 4704 ) ( 1344 , 4116 ) ( 1372 , 4032 ) ( 1568 , 3528 ) ( 1764 , 3136 ) ( 2016 , 2744 ) ( 2058 , 2688 ) 4410 3689 3136 2695 2639 2240 1825 1764 1386 1330 4998 M 4375 294 M 3920 7 M 3577 784 M 3535 3248 M 7 M 2977 112 P 2940 1 M 2730 2702 49 588 M 42 M 14 980 2548 M 196 364 2380 M 28 686 315 2450 M 2373 M 98 4 48 21 52 _____________________________________________________________________________ 19831 2353 ( 1 , 5536609 ) 19833 2353 ( 169 , 32761 ) 19832 19834 2353 2353 2768304 ( 13 , 425893 ) 212940 ( 181 , 30589 ) 15204 16296 2768305 212953 16465 15385 P M M P 1 1 13 181 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 912 2 2 4 _____________________________________________________________________________ 19835 2354 ( 2 , 2770658 ) 19837 2354 ( 214 , 25894 ) 19836 19838 2354 2354 1385328 ( 22 , 251878 ) 125928 ( 242 , 22898 ) 11328 12840 1385330 125950 13054 M 11570 M M 0 M 22 2 214 4 2 4 _____________________________________________________________________________ 19839 2355 ( 1 , 5546025 ) 2773012 19841 2355 ( 5 , 1109205 ) 554600 19840 19842 19843 19844 19845 19846 19847 19848 19849 19850 19851 2355 2355 2355 2355 2355 2355 2355 2355 2355 2355 2355 ( 3 , 1848675 ) ( 9 , 616225 ) ( 15 , 369735 ) ( 25 , 221841 ) ( 45 , 123245 ) ( 75 , 73947 ) ( 157 , 35325 ) ( 225 , 24649 ) ( 471 , 11775 ) ( 785 , 7065 ) ( 1413 , 3925 ) 924336 308108 184860 110908 61600 36936 17584 12212 5652 3140 1256 2773013 924339 M 554605 P 184875 61645 M 37011 17741 3925 2669 1 M 110933 P 5 M 3 P 1 M 12437 3 M 308117 6123 P M 1 5 15 1 157 471 M 785 M 4 9 157 13 _____________________________________________________________________________ 19852 2356 ( 2 , 2775368 ) 19854 2356 ( 8 , 693842 ) 19853 19855 2356 2356 ( 4 , 1387684 ) ( 38 , 146072 ) 1387683 693840 346917 73017 1387685 693844 346925 73055 M P M P 1 4 19 1 913 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19856 2356 ( 62 , 89528 ) 19858 2356 ( 124 , 44764 ) 19857 19859 19860 19861 19862 19863 19864 2356 2356 2356 2356 2356 2356 2356 ( 76 , 73036 ) ( 152 , 36518 ) ( 248 , 22382 ) ( 722 , 7688 ) ( 1178 , 4712 ) ( 1444 , 3844 ) ( 1922 , 2888 ) 44733 36480 22320 18183 11067 3483 1767 1200 483 44795 M 36556 M 22444 4205 2945 2644 2405 76 M 18335 11315 31 124 M 19 M P 1 M M P 4 9 1 31 589 4 13 _____________________________________________________________________________ 19865 2357 ( 1 , 5555449 ) 2777724 2777725 P 1 0 1 1 _____________________________________________________________________________ 19866 2358 ( 2 , 2780082 ) 19868 2358 ( 18 , 308898 ) 19867 19869 19870 19871 19872 2358 2358 2358 2358 2358 1390040 1390042 ( 6 , 926694 ) 463344 463350 ( 54 , 102966 ) 51456 51510 M 10742 M ( 162 , 34322 ) ( 262 , 21222 ) ( 786 , 7074 ) 154440 17080 10480 3144 M 154458 17242 3930 M 6 M 6 M M 0 2 18 2 7 786 262 7 _____________________________________________________________________________ 19873 2359 ( 1 , 5564881 ) 19875 2359 ( 49 , 113569 ) 19874 19876 2359 2359 2782440 ( 7 , 794983 ) 397488 ( 337 , 16513 ) 8088 56760 2782441 397495 56809 8425 M M P P 1 337 7 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 914 2 2 4 _____________________________________________________________________________ 19877 2360 ( 2 , 2784800 ) 19879 2360 ( 8 , 696200 ) 19878 19880 19881 19882 19883 19884 19885 19886 19887 19888 19889 19890 19891 19892 19893 19894 19895 19896 19897 19898 2360 2360 2360 2360 2360 2360 2360 2360 2360 2360 2360 2360 2360 2360 2360 2360 2360 2360 2360 2360 ( 4 , 1392400 ) ( 10 , 556960 ) ( 16 , 348100 ) ( 20 , 278480 ) ( 32 , 174050 ) ( 40 , 139240 ) ( 50 , 111392 ) ( 80 , 69620 ) ( 100 , 55696 ) ( 118 , 47200 ) ( 160 , 34810 ) ( 200 , 27848 ) ( 236 , 23600 ) ( 400 , 13924 ) ( 472 , 11800 ) 1392399 696198 348096 278475 174042 139230 1392401 696202 348104 278485 174058 87041 P 55671 55721 P 34770 27798 23541 17325 13824 11682 6762 5664 69640 17485 M ( 944 , 5900 ) 2478 3422 M ( 1888 , 2950 ) 1770 531 59 5 8 M 2 295 1 118 M M 118 472 P 2950 2419 2 M M ( 1180 , 4720 ) 10 M 5015 3881 1 M 14024 10 40 M 4425 3081 1 M 23659 6136 M M 27898 7162 2 M 34850 11918 5 M 139250 1 8 M 87009 69600 2 M ( 590 , 9440 ) ( 800 , 6962 ) M P 4 590 18 59 22 _____________________________________________________________________________ 19899 2361 ( 1 , 5574321 ) 2787160 2787161 P 1 915 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19900 2361 ( 3 , 1858107 ) 19902 2361 ( 787 , 7083 ) 19901 2361 ( 9 , 619369 ) 929052 309680 3148 929055 309689 3935 M P M 2 2 1 787 3 4 _____________________________________________________________________________ 19903 2362 ( 2 , 2789522 ) 1394760 1394762 M 0 1 2 1 _____________________________________________________________________________ 19904 2363 ( 1 , 5583769 ) 19906 2363 ( 139 , 40171 ) 19905 19907 2363 2363 2791884 ( 17 , 328457 ) 164220 ( 289 , 19321 ) 9516 20016 2791885 164237 20155 9805 P M M 2 P 2 1 17 1 139 4 _____________________________________________________________________________ 19908 2364 ( 2 , 2794248 ) 19910 2364 ( 6 , 931416 ) 19909 19911 19912 19913 19914 19915 19916 19917 19918 19919 19920 2364 2364 2364 2364 2364 2364 2364 2364 2364 2364 2364 ( 4 , 1397124 ) ( 8 , 698562 ) ( 12 , 465708 ) ( 18 , 310472 ) ( 24 , 232854 ) ( 36 , 155236 ) 1397123 698560 465705 349277 232848 155227 116415 77600 1397125 698564 M 465711 4 M 349285 1 M 155245 P 116439 77636 M M 38773 ( 788 , 7092 ) 3152 3940 M 788 ( 1576 , 3546 ) 985 2561 M 197 ( 1182 , 4728 ) 6895 1773 7289 2955 M M 12 1 ( 72 , 77618 ) ( 394 , 14184 ) P 1 3 P 232860 38845 P 1 4 197 591 3 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 916 4 9 13 _____________________________________________________________________________ 19921 2365 ( 1 , 5593225 ) 2796612 19923 2365 ( 11 , 508475 ) 254232 ( 43 , 130075 ) 65016 65059 M 23052 23173 P 10032 10307 19922 19924 19925 19926 19927 19928 19929 19930 19931 19932 19933 2365 2365 2365 2365 2365 2365 2365 2365 2365 2365 2365 ( 5 , 1118645 ) ( 25 , 223729 ) ( 55 , 101695 ) ( 121 , 46225 ) ( 215 , 26015 ) ( 275 , 20339 ) ( 473 , 11825 ) 2796613 559320 559325 111852 111877 50820 12900 5676 254243 50875 4320 4925 M ( 1849 , 3025 ) 588 2437 P 2064 3139 P 1 43 55 1 M M 1 11 M 13115 6149 5 M ( 605 , 9245 ) ( 1075 , 5203 ) M P 215 M 11 473 5 M 4 9 1 43 13 _____________________________________________________________________________ 19934 2366 ( 2 , 2798978 ) 19936 2366 ( 26 , 215306 ) 19935 19937 19938 19939 19940 2366 2366 2366 2366 2366 ( 14 , 399854 ) 1399488 199920 107640 1399490 199934 107666 ( 98 , 57122 ) 28512 28610 ( 338 , 16562 ) 8112 8450 ( 182 , 30758 ) ( 1274 , 4394 ) 15288 1560 15470 2834 M M M M M M 2 M 0 14 2 26 182 338 7 26 7 _____________________________________________________________________________ 19941 2367 ( 1 , 5602689 ) 2801344 2801345 P 1 917 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19942 2367 ( 3 , 1867563 ) 19944 2367 ( 27 , 207507 ) 19943 19945 19946 19947 2367 2367 2367 2367 933780 ( 9 , 622521 ) 311256 ( 81 , 69169 ) 34544 ( 789 , 7101 ) 3156 ( 263 , 21303 ) 103740 10520 933783 M 311265 M 103767 34625 10783 3945 3 9 M P 1 M M 2 5 789 3 263 7 _____________________________________________________________________________ 19948 2368 ( 2 , 2803712 ) 19950 2368 ( 8 , 700928 ) 350460 350468 ( 32 , 175232 ) 87600 87632 19949 19951 19952 19953 19954 19955 19956 19957 19958 19959 19960 19961 19962 19963 2368 2368 2368 2368 2368 2368 2368 2368 2368 2368 2368 2368 2368 2368 ( 4 , 1401856 ) ( 16 , 350464 ) ( 64 , 87616 ) ( 74 , 75776 ) ( 128 , 43808 ) ( 148 , 37888 ) ( 256 , 21904 ) ( 296 , 18944 ) ( 512 , 10952 ) ( 592 , 9472 ) ( 1024 , 5476 ) ( 1184 , 4736 ) ( 2048 , 2738 ) 1401855 700926 175224 43776 37851 21840 18870 10824 9324 5220 4440 2226 1776 345 1401857 700930 M M 43840 5032 3250 2960 2393 8 16 64 37 M 19018 5732 M M 21968 16 M M 74 M 8 148 M 4 M 296 M 2 M P 2 1 4 M 37925 9620 2 M 175240 11080 P 14 1 592 16 _____________________________________________________________________________ 19964 2369 ( 1 , 5612161 ) 2806080 2806081 P 1 918 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 19965 2369 ( 23 , 244007 ) 121992 19967 2369 ( 529 , 10609 ) 5040 19966 2369 ( 103 , 54487 ) 27192 122015 27295 5569 P M M 2 23 2 1 103 4 _____________________________________________________________________________ 19968 2370 ( 2 , 2808450 ) 19970 2370 ( 10 , 561690 ) 19969 19971 19972 19973 19974 19975 19976 19977 19978 19979 19980 2370 2370 2370 2370 2370 2370 2370 2370 2370 2370 2370 ( 6 , 936150 ) ( 18 , 312050 ) ( 30 , 187230 ) ( 50 , 112338 ) ( 90 , 62410 ) ( 150 , 37446 ) ( 158 , 35550 ) ( 450 , 12482 ) ( 474 , 11850 ) ( 790 , 7110 ) ( 1422 , 3950 ) 1404224 468072 280840 156016 93600 56144 31160 18648 17696 6016 5688 3160 1264 1404226 468078 M 280850 93630 M 56194 2 30 2 10 M 17854 6466 2686 M M 18798 M 2 10 M 31250 3950 6 M 156034 6162 M 6 M 158 2 M 474 M 790 M 0 13 158 13 _____________________________________________________________________________ 19981 2371 ( 1 , 5621641 ) 2810820 2810821 P 1 0 1 1 _____________________________________________________________________________ 19982 2372 ( 2 , 2813192 ) 19984 2372 ( 8 , 703298 ) 19983 19985 2372 2372 ( 4 , 1406596 ) ( 1186 , 4744 ) 1406595 703296 351645 1779 1406597 703300 351653 2965 M M P P 1 593 4 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 919 2 2 4 _____________________________________________________________________________ 19986 2373 ( 1 , 5631129 ) 19988 2373 ( 7 , 804447 ) 19987 19989 19990 19991 19992 19993 19994 19995 19996 19997 19998 2373 2373 2373 2373 2373 2373 2373 2373 2373 2373 2373 ( 3 , 1877043 ) ( 9 , 625681 ) ( 21 , 268149 ) ( 49 , 114921 ) ( 63 , 89383 ) ( 113 , 49833 ) ( 147 , 38307 ) ( 339 , 16611 ) ( 441 , 12769 ) ( 791 , 7119 ) ( 1017 , 5537 ) 2815564 938520 402220 312836 134064 57436 44660 24860 19080 8136 6164 3164 2260 2815565 938523 M 402227 57485 P 44723 M 1 7 M 19227 8475 3277 1 M 24973 M 1 7 P 134085 3955 3 M 312845 6605 P M 21 113 3 339 P 1 M 791 M 4 9 113 13 _____________________________________________________________________________ 19999 2374 ( 2 , 2817938 ) 1408968 1408970 M 0 1 2 1 _____________________________________________________________________________ 20000 2375 ( 1 , 5640625 ) 2820312 20002 2375 ( 19 , 296875 ) 148428 20001 20003 20004 20005 20006 2375 2375 2375 2375 2375 ( 5 , 1128125 ) ( 25 , 225625 ) 2820313 564060 564065 112800 112825 148447 ( 95 , 59375 ) 29640 29735 ( 361 , 15625 ) 7632 7993 ( 125 , 45125 ) 22500 M 22625 P 5 M M P M 1 19 M 95 1 25 125 920 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20007 2375 ( 475 , 11875 ) 20009 2375 ( 1805 , 3125 ) 20008 2375 ( 625 , 9025 ) 5700 4200 660 6175 4825 2465 M 475 M M 25 2 8 5 10 _____________________________________________________________________________ 20010 2376 ( 2 , 2822688 ) 20012 2376 ( 6 , 940896 ) 20011 20013 20014 20015 20016 20017 20018 20019 20020 20021 20022 20023 20024 20025 20026 20027 20028 20029 20030 20031 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 ( 4 , 1411344 ) ( 8 , 705672 ) ( 12 , 470448 ) ( 16 , 352836 ) ( 18 , 313632 ) ( 22 , 256608 ) ( 24 , 235224 ) ( 32 , 176418 ) ( 36 , 156816 ) ( 44 , 128304 ) ( 48 , 117612 ) ( 54 , 104544 ) 1411343 705670 470445 352832 235218 176410 156807 128293 117600 1411345 705674 M 470451 235230 128315 64130 64174 M 52245 52299 9 M P 58830 2 M 88225 58782 6 M 156825 78426 8 M 176426 M M 11 1 22 6 27 ( 66 , 85536 ) 42735 42801 M 33 ( 88 , 64152 ) 32032 32120 M 88 ( 72 , 78408 ) ( 96 , 58806 ) ( 108 , 52272 ) ( 132 , 42768 ) ( 144 , 39204 ) ( 162 , 34848 ) 39168 29355 26082 21318 19530 17343 39240 29451 26190 21450 19674 17505 M M M M M M 24 18 M M 1 3 M 88193 78390 2 M 352840 117624 P 72 3 54 66 18 9 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 921 20032 2376 ( 176 , 32076 ) 15950 16126 M 22 20034 2376 ( 216 , 26136 ) 12960 13176 M 216 20033 20035 20036 20037 20038 20039 20040 20041 20042 20043 20044 20045 20046 20047 20048 20049 20050 20051 20052 20053 20054 20055 20056 20057 20058 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 2376 ( 198 , 28512 ) ( 242 , 23328 ) ( 264 , 21384 ) ( 288 , 19602 ) ( 324 , 17424 ) ( 352 , 16038 ) ( 396 , 14256 ) ( 432 , 13068 ) ( 484 , 11664 ) ( 486 , 11616 ) ( 528 , 10692 ) 14157 11543 10560 14355 M 11785 10824 P 9657 9945 M 7843 8195 M 8550 6930 6318 5590 5565 5082 8874 7326 6750 6074 6051 5610 99 M M M M M M M 1 9 18 11 198 54 2 3 66 ( 594 , 9504 ) 4455 5049 M 297 ( 726 , 7776 ) 3525 4251 M 3 ( 648 , 8712 ) ( 792 , 7128 ) ( 864 , 6534 ) ( 968 , 5832 ) ( 972 , 5808 ) ( 1056 , 5346 ) ( 1188 , 4752 ) ( 1296 , 4356 ) ( 1452 , 3888 ) ( 1458 , 3872 ) ( 1584 , 3564 ) ( 1782 , 3168 ) 4032 3168 2835 2432 2418 2145 1782 1530 1218 1207 990 693 4680 3960 3699 3400 3390 3201 2970 2826 2670 2665 2574 2475 M M M M M M M M M P M M 264 72 792 27 8 6 33 594 18 6 1 198 99 922 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20059 2376 ( 1936 , 2916 ) 490 2426 M 2 20061 2376 ( 2178 , 2592 ) 207 2385 M 9 20060 2376 ( 1944 , 2904 ) 480 2424 M 24 4 48 52 _____________________________________________________________________________ 20062 2377 ( 1 , 5650129 ) 2825064 2825065 P 1 0 1 1 _____________________________________________________________________________ 20063 2378 ( 2 , 2827442 ) 20065 2378 ( 82 , 68962 ) 20064 20066 2378 2378 1413720 ( 58 , 97498 ) 48720 ( 1682 , 3362 ) 840 34440 1413722 48778 34522 2522 M M M M 0 4 2 58 2 82 4 _____________________________________________________________________________ 20067 2379 ( 1 , 5659641 ) 20069 2379 ( 9 , 628849 ) 314420 314429 ( 39 , 145119 ) 72540 72579 20068 20070 20071 20072 20073 20074 20075 20076 20077 20078 20079 2379 2379 2379 2379 2379 2379 2379 2379 2379 2379 2379 ( 3 , 1886547 ) ( 13 , 435357 ) ( 61 , 92781 ) ( 117 , 48373 ) ( 169 , 33489 ) ( 183 , 30927 ) ( 507 , 11163 ) ( 549 , 10309 ) ( 793 , 7137 ) ( 1521 , 3721 ) 2829820 943272 217672 46360 24128 16660 15372 5328 4880 3172 1100 2829821 943275 P 217685 M 46421 5429 3965 2621 M 13 M M M P 1 3 61 793 1 1 13 61 P M 3 39 M 16829 5835 1 M 24245 15555 M P 183 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 923 4 9 13 _____________________________________________________________________________ 20080 2380 ( 2 , 2832200 ) 20082 2380 ( 8 , 708050 ) 20081 20083 20084 20085 20086 20087 20088 20089 20090 20091 20092 20093 20094 20095 20096 20097 20098 20099 20100 20101 20102 20103 20104 2380 2380 2380 2380 2380 2380 2380 2380 2380 2380 2380 2380 2380 2380 2380 2380 2380 2380 2380 2380 2380 2380 2380 ( 4 , 1416100 ) ( 10 , 566440 ) ( 14 , 404600 ) ( 20 , 283220 ) ( 28 , 202300 ) ( 34 , 166600 ) ( 40 , 141610 ) ( 50 , 113288 ) ( 56 , 101150 ) 1416099 708048 354021 283215 202293 141600 101136 1416101 708052 M 354029 P 283225 202307 M 141620 101164 M 56619 56669 P 70825 50603 41684 M ( 98 , 57800 ) 28851 28949 P ( 70 , 80920 ) ( 100 , 56644 ) ( 136 , 41650 ) ( 140 , 40460 ) ( 170 , 33320 ) ( 196 , 28900 ) ( 200 , 28322 ) ( 238 , 23800 ) ( 280 , 20230 ) ( 340 , 16660 ) ( 350 , 16184 ) ( 392 , 14450 ) 40425 28272 20757 20160 16575 14352 14061 11781 40495 28372 7029 7 68 35 1 140 85 M 4 P 1 M M 8500 M 7421 P M 4 17 M 14261 8267 1 M 14548 7917 8160 5 M 16745 10255 17 M 20300 9975 28 M 20893 12019 M M 41616 5 20 M ( 68 , 83300 ) 4 1 7 M 83317 50547 1 M 83283 70785 P 119 35 340 7 1 924 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20105 2380 ( 476 , 11900 ) 20107 2380 ( 578 , 9800 ) 4611 5189 P ( 700 , 8092 ) 3696 4396 M 20106 20108 20109 20110 20111 20112 20113 20114 20115 20116 20117 20118 20119 2380 2380 2380 2380 2380 2380 2380 2380 2380 2380 2380 2380 2380 ( 490 , 11560 ) ( 680 , 8330 ) ( 850 , 6664 ) ( 952 , 5950 ) ( 980 , 5780 ) ( 1156 , 4900 ) ( 1190 , 4760 ) ( 1400 , 4046 ) ( 1666 , 3400 ) ( 1700 , 3332 ) ( 1960 , 2890 ) ( 2312 , 2450 ) 5712 6188 5535 M 6025 3825 M 4505 2907 1872 119 20 M 2975 1323 17 M 3028 1785 28 M 3380 4 M 2723 5 85 M 3451 2400 1 M 3757 2499 476 595 M 7 867 2533 M 17 465 2425 M 5 816 69 2516 2381 M P 68 1 8 32 40 _____________________________________________________________________________ 20120 2381 ( 1 , 5669161 ) 2834580 2834581 P 1 0 1 1 _____________________________________________________________________________ 20121 2382 ( 2 , 2836962 ) 20123 2382 ( 18 , 315218 ) 20122 20124 2382 2382 1418480 ( 6 , 945654 ) 472824 ( 794 , 7146 ) 3176 157600 1418482 472830 M 157618 3970 M M M 0 4 6 794 2 2 4 _____________________________________________________________________________ 20125 2383 ( 1 , 5678689 ) 2839344 2839345 P 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 925 1 0 1 _____________________________________________________________________________ 20126 2384 ( 2 , 2841728 ) 20128 2384 ( 8 , 710432 ) 355212 355220 ( 32 , 177608 ) 88788 88820 20127 20129 20130 20131 20132 20133 20134 20135 2384 2384 2384 2384 2384 2384 2384 2384 ( 4 , 1420864 ) ( 16 , 355216 ) 1420863 710430 177600 1420865 710434 44370 44434 ( 298 , 19072 ) 9387 9685 ( 596 , 9536 ) ( 1192 , 4768 ) 22137 4470 1788 5066 2980 M M 1 4 M M 22265 2 M 177616 ( 64 , 88804 ) ( 128 , 44402 ) M P 2 P 4 16 1 149 M 298 M 2 8 596 10 _____________________________________________________________________________ 20136 2385 ( 1 , 5688225 ) 2844112 20138 2385 ( 5 , 1137645 ) 568820 20137 20139 20140 20141 20142 20143 20144 20145 20146 20147 20148 2385 2385 2385 2385 2385 2385 2385 2385 2385 2385 2385 ( 3 , 1896075 ) ( 9 , 632025 ) ( 15 , 379215 ) ( 25 , 227529 ) ( 27 , 210675 ) ( 45 , 126405 ) ( 53 , 107325 ) ( 75 , 75843 ) ( 81 , 70225 ) ( 135 , 42135 ) ( 159 , 35775 ) 948036 316008 189600 113752 105324 63180 53636 37884 35072 21000 17808 2844113 948039 M 568825 189615 9 P 1 M 53689 37959 35153 21135 17967 M M M P M M 1 5 M 113777 63225 3 M 316017 105351 P 15 M 3 45 3 1 53 15 159 926 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20149 2385 ( 225 , 25281 ) 12528 20151 2385 ( 405 , 14045 ) 6820 20150 20152 20153 20154 20155 20156 20157 2385 2385 2385 2385 2385 2385 2385 ( 265 , 21465 ) ( 477 , 11925 ) ( 675 , 8427 ) ( 795 , 7155 ) ( 1325 , 4293 ) ( 1431 , 3975 ) ( 2025 , 2809 ) 10600 5724 3876 3180 1484 1272 392 12753 10865 7225 6201 4551 3975 2809 2703 2417 M M 9 M 5 M 477 M 3 M 795 M 53 M P 265 4 18 1 159 22 _____________________________________________________________________________ 20158 2386 ( 2 , 2846498 ) 1423248 1423250 M 0 1 2 1 _____________________________________________________________________________ 20159 2387 ( 1 , 5697769 ) 20161 2387 ( 11 , 517979 ) 20160 20162 20163 20164 20165 20166 20167 20168 20169 20170 20171 2387 2387 2387 2387 2387 2387 2387 2387 2387 2387 2387 2848884 2848885 ( 7 , 813967 ) 406980 406987 ( 31 , 183799 ) 91884 91915 ( 49 , 116281 ) ( 77 , 73997 ) ( 121 , 47089 ) ( 217 , 26257 ) ( 341 , 16709 ) ( 539 , 10571 ) ( 847 , 6727 ) ( 961 , 5929 ) ( 1519 , 3751 ) 258984 58116 36960 23484 13020 8184 5016 2940 2484 1116 258995 M 58165 5555 3787 3445 2635 M 31 1 77 P M M M P M 1 11 M 23605 8525 7 P 37037 13237 M P 1 M 217 341 11 7 1 31 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 927 4 9 13 _____________________________________________________________________________ 20172 2388 ( 2 , 2851272 ) 20174 2388 ( 6 , 950424 ) 20173 20175 20176 20177 20178 20179 20180 20181 20182 20183 20184 2388 2388 2388 2388 2388 2388 2388 2388 2388 2388 2388 ( 4 , 1425636 ) ( 8 , 712818 ) ( 12 , 475212 ) ( 18 , 316808 ) ( 24 , 237606 ) ( 36 , 158404 ) 1425635 712816 475209 356405 237600 158395 118791 79184 1425637 712820 M 475215 4 M 356413 1 M 158413 P 118815 79220 M M 39565 ( 796 , 7164 ) 3184 3980 M 796 ( 1592 , 3582 ) 995 2587 M 199 ( 1194 , 4776 ) 6965 1791 7363 2985 12 1 ( 72 , 79202 ) ( 398 , 14328 ) 1 3 P 237612 39637 P P 1 M 4 3 199 M 597 4 9 13 _____________________________________________________________________________ 20185 2389 ( 1 , 5707321 ) 2853660 2853661 P 1 0 1 1 _____________________________________________________________________________ 20186 2390 ( 2 , 2856050 ) 20188 2390 ( 50 , 114242 ) 20187 20189 2390 2390 1428024 ( 10 , 571210 ) 285600 ( 478 , 11950 ) 5736 57096 1428026 285610 57146 6214 M M 0 M M 2 4 10 2 478 4 _____________________________________________________________________________ 20190 2391 ( 1 , 5716881 ) 2858440 2858441 P 1 928 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20191 2391 ( 3 , 1905627 ) 20193 2391 ( 797 , 7173 ) 20192 2391 ( 9 , 635209 ) 952812 317600 3188 952815 317609 3985 M P M 2 2 797 1 3 4 _____________________________________________________________________________ 20194 2392 ( 2 , 2860832 ) 20196 2392 ( 8 , 715208 ) 20195 20197 20198 20199 20200 20201 20202 20203 20204 20205 20206 20207 20208 20209 20210 20211 20212 20213 20214 20215 2392 2392 2392 2392 2392 2392 2392 2392 2392 2392 2392 2392 2392 2392 2392 2392 2392 2392 2392 2392 ( 4 , 1430416 ) ( 16 , 357604 ) ( 26 , 220064 ) ( 32 , 178802 ) ( 46 , 124384 ) ( 52 , 110032 ) ( 92 , 62192 ) ( 104 , 55016 ) ( 184 , 31096 ) ( 208 , 27508 ) ( 338 , 16928 ) ( 368 , 15548 ) ( 416 , 13754 ) 1430415 715206 357600 178794 110019 1430417 715210 M 357608 178810 110045 P 54990 55042 M 27456 15456 13650 62215 15640 P 6669 7085 M M M 26 46 104 184 1 13 4485 5083 M 299 ( 736 , 7774 ) 3519 4255 M 23 ( 1058 , 5408 ) ( 1196 , 4784 ) ( 1352 , 4232 ) ( 2116 , 2704 ) 3894 2175 1794 1440 294 4570 3233 2990 2792 2410 M P M M M 26 46 ( 598 , 9568 ) ( 676 , 8464 ) 13 23 M 8633 7958 1 M 8295 7590 M M 27560 13858 2 M 31142 1 8 M 89417 31050 2 M 89385 62169 P 2 1 598 8 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 929 4 18 22 _____________________________________________________________________________ 20216 2393 ( 1 , 5726449 ) 2863224 2863225 P 1 0 1 1 _____________________________________________________________________________ 20217 2394 ( 2 , 2865618 ) 20219 2394 ( 14 , 409374 ) 20218 20220 20221 20222 20223 20224 20225 20226 20227 20228 20229 20230 20231 20232 20233 20234 20235 20236 20237 20238 2394 2394 2394 2394 2394 2394 2394 2394 2394 2394 2394 2394 2394 2394 2394 2394 2394 2394 2394 2394 ( 6 , 955206 ) ( 18 , 318402 ) ( 38 , 150822 ) ( 42 , 136458 ) ( 54 , 106134 ) ( 98 , 58482 ) ( 114 , 50274 ) ( 126 , 45486 ) ( 162 , 35378 ) ( 266 , 21546 ) ( 294 , 19494 ) ( 342 , 16758 ) ( 378 , 15162 ) 1432808 477600 204680 159192 1432810 477606 M 204694 159210 75430 M 53040 53094 M 29192 25080 22680 17608 10640 68250 25194 18 38 42 2 M 22806 M 17770 M 7392 7770 M M M 6 42 4330 M 2 ( 882 , 6498 ) 2808 3690 M 18 ( 1026 , 5586 ) ( 1134 , 5054 ) ( 1862 , 3078 ) ( 2166 , 2646 ) 2280 1960 608 240 3990 3306 3094 2470 2406 M M M M M 266 342 3608 3192 114 2 ( 722 , 7938 ) ( 798 , 7182 ) 6 126 M 9894 8550 M M 9600 8208 14 M 29290 10906 6 M 75392 68208 M 798 114 14 38 6 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 930 0 22 22 _____________________________________________________________________________ 20239 2395 ( 1 , 5736025 ) 2868012 20241 2395 ( 25 , 229441 ) 114708 20240 20242 2395 2395 ( 5 , 1147205 ) ( 479 , 11975 ) 573600 5748 2868013 573605 114733 6227 M P 5 P M 2 479 2 1 1 4 _____________________________________________________________________________ 20243 2396 ( 2 , 2870408 ) 20245 2396 ( 8 , 717602 ) 20244 20246 2396 2396 ( 4 , 1435204 ) ( 1198 , 4792 ) 1435203 717600 358797 1797 1435205 717604 358805 2995 M P P M 2 1 4 1 599 2 4 _____________________________________________________________________________ 20247 2397 ( 1 , 5745609 ) 20249 2397 ( 9 , 638401 ) 319196 319205 ( 47 , 122247 ) 61100 61147 M 20304 20445 M 20248 20250 20251 20252 20253 20254 20255 20256 20257 20258 20259 2397 2397 2397 2397 2397 2397 2397 2397 2397 2397 2397 ( 3 , 1915203 ) ( 17 , 337977 ) ( 51 , 112659 ) ( 141 , 40749 ) ( 153 , 37553 ) ( 289 , 19881 ) ( 423 , 13583 ) 2872804 957600 168980 56304 18700 9796 6580 2872805 957603 P 168997 56355 7003 M 3995 M ( 2209 , 2601 ) 196 2405 P 3747 M 3 51 141 1 47 799 3 1 1 17 47 P 3196 2880 M M ( 799 , 7191 ) ( 867 , 6627 ) 1 M 18853 10085 M P 17 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 931 4 9 13 _____________________________________________________________________________ 20260 2398 ( 2 , 2875202 ) 20262 2398 ( 218 , 26378 ) 20261 20263 2398 2398 1437600 ( 22 , 261382 ) 130680 ( 242 , 23762 ) 11760 13080 1437602 130702 13298 12002 M M M 0 M 22 2 218 4 2 4 _____________________________________________________________________________ 20264 2399 ( 1 , 5755201 ) 2877600 2877601 P 1 0 1 1 _____________________________________________________________________________ 20265 2400 ( 2 , 2880000 ) 20267 2400 ( 6 , 960000 ) 20266 20268 20269 20270 20271 20272 20273 20274 20275 20276 20277 20278 20279 20280 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 ( 4 , 1440000 ) ( 8 , 720000 ) ( 10 , 576000 ) ( 12 , 480000 ) ( 16 , 360000 ) ( 18 , 320000 ) ( 20 , 288000 ) ( 24 , 240000 ) ( 30 , 192000 ) ( 32 , 180000 ) ( 36 , 160000 ) ( 40 , 144000 ) ( 48 , 120000 ) ( 50 , 115200 ) 1439999 719998 479997 359996 287995 239994 179992 159991 143990 119988 1440001 720002 480003 360004 288005 M M M M 240006 160009 M 79982 80018 M 71980 59976 57575 72020 60024 57625 5 6 8 1 M 96015 90016 4 P 144010 M M M M M 1 3 M 95985 89984 2 M 180008 120012 P 10 12 15 32 2 20 24 25 932 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20281 2400 ( 60 , 96000 ) 47970 48030 M 30 20283 2400 ( 72 , 80000 ) 39964 40036 M 4 20282 20284 20285 20286 20287 20288 20289 20290 20291 20292 20293 20294 20295 20296 20297 20298 20299 20300 20301 20302 20303 20304 20305 20306 20307 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 ( 64 , 90000 ) ( 80 , 72000 ) ( 90 , 64000 ) ( 96 , 60000 ) ( 100 , 57600 ) ( 120 , 48000 ) ( 128 , 45000 ) ( 144 , 40000 ) ( 150 , 38400 ) ( 160 , 36000 ) ( 180 , 32000 ) ( 192 , 30000 ) ( 200 , 28800 ) ( 240 , 24000 ) ( 250 , 23040 ) ( 256 , 22500 ) ( 288 , 20000 ) ( 300 , 19200 ) ( 320 , 18000 ) ( 360 , 16000 ) ( 384 , 15000 ) ( 400 , 14400 ) ( 450 , 12800 ) ( 480 , 12000 ) ( 500 , 11520 ) 44968 35960 31955 29952 28750 23940 22436 19928 19125 17920 15910 14904 14300 11880 11395 11122 45032 36040 32045 30048 28850 6175 5760 5510 M 40 5 96 50 60 M 4 M 8 M 18080 75 M 16090 160 M 15096 10 M 14500 24 M 12120 100 M 11645 11378 8 M 19275 9160 7000 M 20072 8840 7308 M 22564 10144 7820 M 24060 9856 9450 M 120 M M M 5 2 32 9750 M 150 8180 M 20 7692 7400 6625 6240 6010 M M M M M M 40 12 200 25 480 10 933 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20308 2400 ( 512 , 11250 ) 20310 2400 ( 600 , 9600 ) 4500 5100 M 300 ( 720 , 8000 ) 3640 4360 M 40 20309 20311 20312 20313 20314 20315 20316 20317 20318 20319 20320 20321 20322 20323 20324 20325 20326 20327 20328 20329 20330 20331 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 2400 ( 576 , 10000 ) ( 640 , 9000 ) ( 750 , 7680 ) ( 768 , 7500 ) ( 800 , 7200 ) ( 900 , 6400 ) ( 960 , 6000 ) ( 1000 , 5760 ) ( 1152 , 5000 ) ( 1200 , 4800 ) ( 1250 , 4608 ) ( 1280 , 4500 ) ( 1440 , 4000 ) ( 1500 , 3840 ) ( 1536 , 3750 ) ( 1600 , 3600 ) ( 1800 , 3200 ) ( 1920 , 3000 ) ( 2000 , 2880 ) ( 2250 , 2560 ) ( 2304 , 2500 ) 5369 5881 4712 5288 4180 4820 3465 3380 1924 2600 600 1 10 M 160 M 2643 1000 4 M 2670 1107 20 P 2720 1170 120 M 2890 1280 50 M 2929 1610 800 M 3000 1679 6 M 3076 1800 15 M 3480 2380 20 M 3650 2520 8 M 4000 2750 M M 4134 3200 1 M 4215 3366 P 30 M 3 M 200 700 2500 M 100 440 2440 M 40 540 155 98 2460 2405 2402 M 60 M M 5 4 2 63 67 _____________________________________________________________________________ 20332 2401 ( 1 , 5764801 ) 2882400 2882401 P 1 934 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20333 2401 ( 7 , 823543 ) 411768 20335 2401 ( 343 , 16807 ) 8232 20334 2401 ( 49 , 117649 ) 58800 411775 58849 8575 M M 7 M 1 49 343 3 4 _____________________________________________________________________________ 20336 2402 ( 2 , 2884802 ) 1442400 1442402 M 0 1 2 1 _____________________________________________________________________________ 20337 2403 ( 1 , 5774409 ) 20339 2403 ( 9 , 641601 ) 320796 ( 81 , 71289 ) 35604 20338 20340 20341 20342 20343 20344 20345 20346 2403 2403 2403 2403 2403 2403 2403 2403 ( 3 , 1924803 ) ( 27 , 213867 ) ( 89 , 64881 ) ( 243 , 23763 ) ( 267 , 21627 ) ( 729 , 7921 ) ( 801 , 7209 ) 2887204 962400 106920 32396 11760 10680 3596 3204 2887205 962403 M 320805 35685 4005 89 M M 3 M P 27 9 M 12003 1 9 M M 32485 4325 3 M 106947 10947 P 1 2 8 267 801 10 _____________________________________________________________________________ 20347 2404 ( 2 , 2889608 ) 20349 2404 ( 8 , 722402 ) 20348 20350 2404 2404 ( 4 , 1444804 ) ( 1202 , 4808 ) 1444803 722400 361197 1803 1444805 722404 361205 3005 M M 2 P P 1 2 4 1 601 4 _____________________________________________________________________________ 20351 2405 ( 1 , 5784025 ) 2892012 2892013 P 1 935 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20352 2405 ( 5 , 1156805 ) 20354 2405 ( 25 , 231361 ) 20353 20355 20356 20357 20358 20359 20360 20361 20362 20363 2405 2405 2405 2405 2405 2405 2405 2405 2405 2405 578400 578405 115668 115693 ( 13 , 444925 ) 222456 ( 37 , 156325 ) 78144 ( 65 , 88985 ) ( 169 , 34225 ) ( 185 , 31265 ) ( 325 , 17797 ) ( 481 , 12025 ) ( 845 , 6845 ) ( 925 , 6253 ) ( 1369 , 4225 ) 44460 17028 15540 8736 5772 3000 2664 1428 M 222469 M 78181 M 44525 9061 3589 2797 P 1 37 65 P 15725 3845 13 M 17197 6253 5 M 1 M 13 M 185 481 M 5 P 1 M 37 4 9 13 _____________________________________________________________________________ 20364 2406 ( 2 , 2894418 ) 20366 2406 ( 18 , 321602 ) 20365 20367 2406 2406 1447208 ( 6 , 964806 ) 482400 ( 802 , 7218 ) 3208 160792 1447210 482406 M 160810 4010 M M M 0 4 6 2 2 802 4 _____________________________________________________________________________ 20368 2407 ( 1 , 5793649 ) 20370 2407 ( 83 , 69803 ) 20369 20371 2407 2407 ( 29 , 199781 ) ( 841 , 6889 ) 2896824 99876 34860 3024 2896825 99905 34943 3865 P M P M 2 2 29 1 1 83 4 _____________________________________________________________________________ 20372 2408 ( 2 , 2899232 ) 1449615 1449617 P 1 936 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20373 2408 ( 4 , 1449616 ) 20375 2408 ( 14 , 414176 ) 20374 20376 20377 20378 20379 20380 20381 20382 20383 20384 20385 20386 20387 20388 20389 20390 20391 20392 20393 2408 2408 2408 2408 2408 2408 2408 2408 2408 2408 2408 2408 2408 2408 2408 2408 2408 2408 2408 ( 8 , 724808 ) ( 16 , 362404 ) ( 28 , 207088 ) ( 32 , 181202 ) ( 56 , 103544 ) ( 86 , 67424 ) ( 98 , 59168 ) ( 112 , 51772 ) ( 172 , 33712 ) ( 196 , 29584 ) ( 224 , 25886 ) ( 344 , 16856 ) ( 392 , 14792 ) 724806 362400 207081 181194 103530 90585 51744 33669 29535 25830 16770 14694 12831 8256 7200 724810 M 362408 M 207095 8 M 181210 7 M 103558 90617 P 51800 2 M 1 M 33755 43 P 25942 1 M 16942 M 14890 8600 M 2 M 7 344 M 8 ( 602 , 9632 ) 4515 5117 M 301 ( 784 , 7396 ) 3306 4090 M 2 ( 688 , 8428 ) ( 1204 , 4816 ) ( 1376 , 4214 ) ( 1568 , 3698 ) 3870 1806 1419 1065 4558 M 3010 2795 2633 86 M 602 M P 14 86 M 13055 14 56 M 29633 7592 2 43 4 18 1 22 _____________________________________________________________________________ 20394 2409 ( 1 , 5803281 ) 20396 2409 ( 9 , 644809 ) 20395 20397 2409 2409 ( 3 , 1934427 ) ( 11 , 527571 ) 2901640 967212 322400 263780 2901641 967215 322409 263791 M P M P 1 3 1 11 937 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20398 2409 ( 33 , 175857 ) 20400 2409 ( 99 , 58619 ) 20399 20401 20402 20403 20404 20405 20406 2409 2409 2409 2409 2409 2409 2409 ( 73 , 79497 ) ( 121 , 47961 ) ( 219 , 26499 ) ( 363 , 15987 ) ( 657 , 8833 ) ( 803 , 7227 ) ( 1089 , 5329 ) 87912 39712 29260 23920 13140 7812 4088 3212 2120 87945 39785 3209 11 P 13359 4015 73 M 24041 4745 33 M 29359 8175 M M 1 M 3 M 73 M P 219 803 4 9 1 13 _____________________________________________________________________________ 20407 2410 ( 2 , 2904050 ) 20409 2410 ( 50 , 116162 ) 20408 20410 2410 2410 1452024 ( 10 , 580810 ) 290400 ( 482 , 12050 ) 5784 58056 1452026 290410 58106 6266 M M M 0 M 2 4 10 2 482 4 _____________________________________________________________________________ 20411 2411 ( 1 , 5812921 ) 2906460 2906461 P 1 0 1 1 _____________________________________________________________________________ 20412 2412 ( 2 , 2908872 ) 20414 2412 ( 6 , 969624 ) 20413 20415 20416 20417 20418 2412 2412 2412 2412 2412 ( 4 , 1454436 ) ( 8 , 727218 ) ( 12 , 484812 ) ( 18 , 323208 ) ( 24 , 242406 ) 1454435 727216 484809 363605 242400 161595 121191 1454437 727220 484815 363613 242412 161613 121215 M M P M M M P 4 1 3 1 12 9 3 938 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20419 2412 ( 36 , 161604 ) 20421 2412 ( 72 , 80802 ) 20420 20422 20423 20424 20425 20426 20427 20428 20429 20430 20431 20432 20433 2412 2412 2412 2412 2412 2412 2412 2412 2412 2412 2412 2412 2412 ( 54 , 107736 ) ( 108 , 53868 ) ( 134 , 43416 ) ( 162 , 35912 ) ( 216 , 26934 ) ( 268 , 21708 ) ( 324 , 17956 ) ( 402 , 14472 ) ( 536 , 10854 ) ( 648 , 8978 ) ( 804 , 7236 ) ( 1206 , 4824 ) ( 1608 , 3618 ) 80784 53841 40365 26880 21641 17875 13359 10720 80820 53895 M M 40437 M 26988 21775 M 18037 13575 M 5159 5695 M 3216 1809 1005 7437 4813 4020 3015 3 M 268 4 M 201 P 1 M 2613 12 1 M 10988 3 67 P 9140 4165 9 M 8816 7035 36 67 804 M 603 M 4 18 201 22 _____________________________________________________________________________ 20434 2413 ( 1 , 5822569 ) 20436 2413 ( 127 , 45847 ) 20435 20437 2413 2413 2911284 ( 19 , 306451 ) 153216 ( 361 , 16129 ) 7884 22860 2911285 153235 22987 8245 P M 2 M P 2 1 19 1 127 4 _____________________________________________________________________________ 20438 2414 ( 2 , 2913698 ) 20440 2414 ( 142 , 41038 ) 20439 20441 2414 2414 1456848 ( 34 , 171394 ) 85680 ( 578 , 10082 ) 4752 20448 1456850 85714 20590 5330 M M M M 34 2 142 2 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 939 0 4 4 _____________________________________________________________________________ 20442 2415 ( 1 , 5832225 ) 2916112 20444 2415 ( 5 , 1166445 ) 583220 20443 20445 20446 20447 20448 20449 20450 20451 20452 20453 20454 20455 20456 20457 20458 20459 20460 20461 20462 20463 20464 20465 20466 2415 2415 2415 2415 2415 2415 2415 2415 2415 2415 2415 2415 2415 2415 2415 2415 2415 2415 2415 2415 2415 2415 2415 ( 3 , 1944075 ) ( 7 , 833175 ) ( 9 , 648025 ) ( 15 , 388815 ) ( 21 , 277725 ) ( 23 , 253575 ) ( 25 , 233289 ) ( 35 , 166635 ) ( 45 , 129605 ) ( 49 , 119025 ) 972036 416584 324008 194400 138852 126776 116632 2916113 972039 M 583225 3 M 416591 324017 7 P 194415 1 M 138873 M 126799 83335 M 59488 59537 P 64825 M 23 P 1 35 5 1 ( 63 , 92575 ) 46256 46319 M 7 ( 75 , 77763 ) 38844 38919 M 3 ( 69 , 84525 ) ( 105 , 55545 ) ( 115 , 50715 ) ( 147 , 39675 ) ( 161 , 36225 ) ( 175 , 33327 ) ( 207 , 28175 ) ( 225 , 25921 ) ( 245 , 23805 ) ( 315 , 18515 ) ( 345 , 16905 ) 42228 27720 25300 19764 18032 16576 13984 12848 11780 9100 8280 42297 27825 M M 25415 M 13073 8625 161 M 14191 9415 3 M 16751 P M M M 105 115 M 18193 12025 69 M 19911 15 21 M 116657 1 5 M 83300 64780 P 7 23 1 35 5 345 940 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20467 2415 ( 441 , 13225 ) 6392 6833 P 20469 2415 ( 525 , 11109 ) 5292 5817 M 20468 20470 20471 20472 20473 20474 20475 20476 20477 20478 20479 20480 20481 2415 2415 2415 2415 2415 2415 2415 2415 2415 2415 2415 2415 2415 ( 483 , 12075 ) ( 529 , 11025 ) ( 575 , 10143 ) ( 735 , 7935 ) ( 805 , 7245 ) ( 1035 , 5635 ) ( 1127 , 5175 ) ( 1225 , 4761 ) ( 1449 , 4025 ) ( 1575 , 3703 ) ( 1587 , 3675 ) ( 1725 , 3381 ) ( 2205 , 2645 ) 5796 5248 4784 3600 3220 2300 2024 1768 1288 1064 1044 828 220 6279 M 5777 5359 4335 4025 3335 1 23 M 15 M 805 M 115 M 23 P 2737 1 M 2639 2425 21 M 2993 2553 483 P 3151 2631 1 161 M 7 M 3 M M 69 8 32 5 40 _____________________________________________________________________________ 20482 2416 ( 2 , 2918528 ) 20484 2416 ( 8 , 729632 ) 364812 364820 ( 32 , 182408 ) 91188 91220 20483 20485 20486 20487 20488 20489 20490 20491 2416 2416 2416 2416 2416 2416 2416 2416 ( 4 , 1459264 ) ( 16 , 364816 ) 1459263 729630 182400 1459265 729634 45570 45634 ( 302 , 19328 ) 9513 9815 ( 128 , 45602 ) ( 604 , 9664 ) ( 1208 , 4832 ) 22737 4530 1812 22865 5134 3020 2 M 182416 ( 64 , 91204 ) M P M M M M M P 4 M 2 4 1 151 302 604 1 16 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 941 2 8 10 _____________________________________________________________________________ 20492 2417 ( 1 , 5841889 ) 2920944 2920945 P 1 0 1 1 _____________________________________________________________________________ 20493 2418 ( 2 , 2923362 ) 20495 2418 ( 18 , 324818 ) 20494 20496 20497 20498 20499 20500 20501 20502 20503 20504 20505 2418 2418 2418 2418 2418 2418 2418 2418 2418 2418 2418 ( 6 , 974454 ) ( 26 , 224874 ) ( 62 , 94302 ) ( 78 , 74958 ) ( 186 , 31434 ) ( 234 , 24986 ) ( 338 , 17298 ) ( 558 , 10478 ) 1461680 487224 162400 112424 47120 37440 15624 12376 8480 4960 1461682 487230 M 162418 47182 M 37518 8818 5518 2 M 62 M 15810 186 M 26 2 M 62 ( 806 , 7254 ) 3224 4030 M 806 ( 1922 , 3042 ) 560 2482 M 2 ( 1014 , 5766 ) 2376 3390 26 78 M M 2 6 M 112450 12610 M M 6 0 13 13 _____________________________________________________________________________ 20506 2419 ( 1 , 5851561 ) 20508 2419 ( 59 , 99179 ) 20507 20509 2419 2419 ( 41 , 142721 ) ( 1681 , 3481 ) 2925780 71340 49560 900 2925781 71381 49619 2581 P M P M 2 2 41 1 1 59 4 _____________________________________________________________________________ 20510 2420 ( 2 , 2928200 ) 1464099 1464101 P 1 942 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20511 2420 ( 4 , 1464100 ) 20513 2420 ( 10 , 585640 ) 20512 20514 20515 20516 20517 20518 20519 20520 20521 20522 20523 20524 20525 20526 20527 20528 20529 20530 20531 2420 2420 2420 2420 2420 2420 2420 2420 2420 2420 2420 2420 2420 2420 2420 2420 2420 2420 2420 ( 8 , 732050 ) ( 20 , 292820 ) ( 22 , 266200 ) ( 40 , 146410 ) ( 44 , 133100 ) ( 50 , 117128 ) ( 88 , 66550 ) ( 100 , 58564 ) ( 110 , 53240 ) ( 200 , 29282 ) ( 220 , 26620 ) ( 242 , 24200 ) ( 440 , 13310 ) ( 484 , 12100 ) ( 550 , 10648 ) ( 968 , 6050 ) ( 1100 , 5324 ) ( 1210 , 4840 ) ( 2200 , 2662 ) 732048 366021 292815 146400 133089 732052 M 366029 P 292825 M 146420 M 133111 73185 73225 M 58539 58589 P 66528 33231 29232 26565 14541 13200 11979 66572 33319 26675 12221 5049 5599 M 1815 231 6292 3212 3025 2431 11 4 55 1 M M 2112 1 P 13420 220 M 55 M 121 484 11 M 121 M 44 M M 11 44 M 14741 3509 5 M 6875 2541 M M 29332 5 20 M 6435 5808 1 4 605 4 18 11 22 _____________________________________________________________________________ 20532 2421 ( 1 , 5861241 ) 20534 2421 ( 9 , 651249 ) 20533 20535 2421 2421 ( 3 , 1953747 ) ( 27 , 217083 ) 2930620 976872 325620 108528 2930621 976875 325629 108555 M M M P 3 9 3 1 943 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20536 2421 ( 81 , 72361 ) 36140 20538 2421 ( 807 , 7263 ) 3228 20537 2421 ( 269 , 21789 ) 10760 36221 11029 4035 P 1 M M 2 5 807 269 7 _____________________________________________________________________________ 20539 2422 ( 2 , 2933042 ) 20541 2422 ( 98 , 59858 ) 20540 20542 2422 2422 ( 14 , 419006 ) ( 346 , 16954 ) 1466520 209496 29880 8304 1466522 209510 29978 8650 M M M 0 M 14 2 4 2 346 4 _____________________________________________________________________________ 20543 2423 ( 1 , 5870929 ) 2935464 2935465 P 1 0 1 1 _____________________________________________________________________________ 20544 2424 ( 2 , 2937888 ) 20546 2424 ( 6 , 979296 ) 20545 20547 20548 20549 20550 20551 20552 20553 20554 20555 20556 2424 2424 2424 2424 2424 2424 2424 2424 2424 2424 2424 ( 4 , 1468944 ) ( 8 , 734472 ) ( 12 , 489648 ) ( 16 , 367236 ) ( 18 , 326432 ) ( 24 , 244824 ) ( 32 , 183618 ) ( 36 , 163216 ) ( 48 , 122412 ) ( 72 , 81608 ) ( 96 , 61206 ) 1468943 734470 489645 367232 244818 183610 163207 122400 1468945 734474 M 489651 244830 P 61182 61230 M 30555 40840 30651 2 P 91825 40768 6 M 163225 81626 8 M 183626 M M M M 1 3 M 91793 81590 2 M 367240 122424 P 1 1 2 8 3 6 24 944 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20557 2424 ( 144 , 40804 ) 20330 20474 M 20559 2424 ( 288 , 20402 ) 10057 10345 P 20558 20560 20561 20562 20563 20564 20565 2424 2424 2424 2424 2424 2424 2424 ( 202 , 29088 ) ( 404 , 14544 ) ( 606 , 9696 ) ( 808 , 7272 ) ( 1212 , 4848 ) ( 1616 , 3636 ) ( 1818 , 3232 ) 14443 7070 4545 3232 1818 1010 707 14645 7474 5151 4040 3030 2626 2525 2 M M 101 1 202 M 303 M 808 M 606 M M 202 4 18 101 22 _____________________________________________________________________________ 20566 2425 ( 1 , 5880625 ) 2940312 20568 2425 ( 25 , 235225 ) 117600 20567 20569 20570 20571 20572 2425 2425 2425 2425 2425 ( 5 , 1176125 ) 588060 2940313 588065 117625 ( 97 , 60625 ) 30264 30361 ( 485 , 12125 ) 5820 6305 ( 125 , 47045 ) ( 625 , 9409 ) 23460 4392 23585 5017 M M M P P 5 M 97 M 1 25 5 2 5 1 485 7 _____________________________________________________________________________ 20573 2426 ( 2 , 2942738 ) 1471368 1471370 M 0 1 2 1 _____________________________________________________________________________ 20574 2427 ( 1 , 5890329 ) 20576 2427 ( 9 , 654481 ) 20575 20577 2427 2427 ( 3 , 1963443 ) ( 809 , 7281 ) 2945164 981720 327236 3236 2945165 981723 327245 4045 M M P P 809 1 3 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 945 2 2 4 _____________________________________________________________________________ 20578 2428 ( 2 , 2947592 ) 20580 2428 ( 8 , 736898 ) 20579 20581 2428 2428 ( 4 , 1473796 ) ( 1214 , 4856 ) 1473795 736896 368445 1821 1473797 736900 368453 3035 M P P M 2 1 2 4 1 607 4 _____________________________________________________________________________ 20582 2429 ( 1 , 5900041 ) 20584 2429 ( 49 , 120409 ) 20583 20585 2429 2429 2950020 ( 7 , 842863 ) 421428 ( 347 , 17003 ) 8328 60180 2950021 421435 60229 8675 M M P P 2 1 2 7 1 347 4 _____________________________________________________________________________ 20586 2430 ( 2 , 2952450 ) 20588 2430 ( 10 , 590490 ) 20587 20589 20590 20591 20592 20593 20594 20595 20596 20597 20598 2430 2430 2430 2430 2430 2430 2430 2430 2430 2430 2430 ( 6 , 984150 ) ( 18 , 328050 ) ( 30 , 196830 ) ( 50 , 118098 ) ( 54 , 109350 ) ( 90 , 65610 ) ( 150 , 39366 ) ( 162 , 36450 ) ( 270 , 21870 ) ( 450 , 13122 ) ( 486 , 12150 ) 1476224 492072 295240 164016 1476226 492078 M 295250 164034 98430 M 54648 54702 M 32760 19608 18144 10800 6336 5832 59074 32850 19758 6786 6318 10 M 18 30 M M M 18306 11070 6 M 98400 59024 M 2 54 90 6 M M M M 162 18 270 486 2 946 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20599 2430 ( 810 , 7290 ) 20601 2430 ( 1458 , 4050 ) 20600 2430 ( 1350 , 4374 ) 3240 1512 1296 4050 2862 M 810 M 2754 54 M 0 16 162 16 _____________________________________________________________________________ 20602 2431 ( 1 , 5909761 ) 20604 2431 ( 13 , 454597 ) 20603 20605 20606 20607 20608 20609 20610 20611 20612 20613 20614 2431 2431 2431 2431 2431 2431 2431 2431 2431 2431 2431 2954880 2954881 ( 11 , 537251 ) 268620 268631 M ( 17 , 347633 ) 173808 173825 M ( 121 , 48841 ) ( 143 , 41327 ) ( 169 , 34969 ) ( 187 , 31603 ) ( 221 , 26741 ) ( 289 , 20449 ) ( 1573 , 3757 ) ( 1859 , 3179 ) ( 2057 , 2873 ) 227292 227305 24481 P 17400 17569 P 15708 13260 10080 1092 660 408 20735 M 143 1 187 221 P 1 13 M M 17 1 M 10369 2465 13 M 13481 2519 11 M 15895 2665 1 M 24360 20592 P 11 4 9 17 13 _____________________________________________________________________________ 20615 2432 ( 2 , 2957312 ) 20617 2432 ( 8 , 739328 ) 369660 369668 ( 32 , 184832 ) 92400 92432 20616 20618 20619 20620 20621 2432 2432 2432 2432 2432 ( 4 , 1478656 ) ( 16 , 369664 ) ( 38 , 155648 ) ( 64 , 92416 ) 1478655 739326 184824 77805 46176 1478657 739330 184840 77843 46240 M P 2 M M M M M 4 8 16 19 32 1 947 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20622 2432 ( 76 , 77824 ) 20624 2432 ( 152 , 38912 ) 20623 20625 20626 20627 20628 20629 20630 20631 20632 20633 2432 2432 2432 2432 2432 2432 2432 2432 2432 2432 ( 128 , 46208 ) ( 256 , 23104 ) ( 304 , 19456 ) ( 512 , 11552 ) ( 608 , 9728 ) ( 722 , 8192 ) ( 1024 , 5776 ) ( 1216 , 4864 ) ( 1444 , 4096 ) ( 2048 , 2888 ) 38874 23040 19380 11424 9576 5520 4560 3735 2376 1824 1326 420 38950 M 23168 M 19532 9880 5168 4457 3400 M 2468 76 M 32 152 M 16 M 304 P 1 M 3040 2770 128 M 11680 6032 38 M 608 M M 8 2 2 17 4 19 _____________________________________________________________________________ 20634 2433 ( 1 , 5919489 ) 20636 2433 ( 9 , 657721 ) 20635 20637 2433 2433 ( 3 , 1973163 ) ( 811 , 7299 ) 2959744 986580 328856 3244 2959745 986583 328865 4055 M M P P 2 2 811 1 3 1 4 _____________________________________________________________________________ 20638 2434 ( 2 , 2962178 ) 1481088 1481090 M 0 1 2 1 _____________________________________________________________________________ 20639 2435 ( 1 , 5929225 ) 2964612 20641 2435 ( 25 , 237169 ) 118572 20640 20642 2435 2435 ( 5 , 1185845 ) ( 487 , 12175 ) 592920 5844 2964613 592925 118597 6331 M M P P 5 487 1 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 948 2 2 4 _____________________________________________________________________________ 20643 2436 ( 2 , 2967048 ) 20645 2436 ( 6 , 989016 ) 20644 20646 20647 20648 20649 20650 20651 20652 20653 20654 20655 20656 20657 20658 20659 20660 20661 20662 20663 20664 20665 20666 20667 2436 2436 2436 2436 2436 2436 2436 2436 2436 2436 2436 2436 2436 2436 2436 2436 2436 2436 2436 2436 2436 2436 2436 ( 4 , 1483524 ) ( 8 , 741762 ) ( 12 , 494508 ) ( 14 , 423864 ) ( 18 , 329672 ) ( 24 , 247254 ) ( 28 , 211932 ) ( 36 , 164836 ) ( 42 , 141288 ) ( 56 , 105966 ) ( 58 , 102312 ) 1483523 741760 494505 370877 247248 211925 164827 123615 105952 1483525 741764 M 494511 370885 247260 M 164845 1 M 105980 M 52955 53011 M 70665 3 M 4 M M 7 41173 41245 P 1 ( 98 , 60552 ) 30227 30325 P 1 ( 116 , 51156 ) ( 126 , 47096 ) ( 168 , 35322 ) ( 174 , 34104 ) ( 196 , 30276 ) ( 232 , 25578 ) ( 252 , 23548 ) ( 294 , 20184 ) ( 348 , 17052 ) 35280 25520 23485 17577 16965 15040 12673 11648 9945 8352 35364 25636 M M 23611 10239 8700 87 M 12905 11900 21 M 15236 4 M M M M 116 7 M 17139 29 84 M 17745 28 21 ( 72 , 82418 ) ( 84 , 70644 ) 12 7 P 123639 51185 1 M 211939 1 3 P 82436 51127 4 M 82400 70623 P 29 3 28 348 949 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20668 2436 ( 392 , 15138 ) 7373 7765 P 20670 2436 ( 504 , 11774 ) 5635 6139 M 20669 20671 20672 20673 20674 20675 20676 20677 20678 20679 20680 20681 20682 2436 2436 2436 2436 2436 2436 2436 2436 2436 2436 2436 2436 2436 ( 406 , 14616 ) ( 522 , 11368 ) ( 588 , 10092 ) 7105 5423 4752 7511 5945 5340 M 4611 M ( 882 , 6728 ) 2923 3805 P ( 1044 , 5684 ) ( 1176 , 5046 ) ( 1218 , 4872 ) ( 1624 , 3654 ) ( 1682 , 3528 ) ( 1764 , 3364 ) ( 2088 , 2842 ) 2320 1935 1827 1015 4060 29 12 87 M 3364 3111 3045 2639 1 M 609 M P 377 2465 M 116 3 M 2605 2564 812 M 923 800 7 M 3915 3248 203 M ( 696 , 8526 ) ( 812 , 7308 ) 1 1 M 203 4 8 32 29 40 _____________________________________________________________________________ 20683 2437 ( 1 , 5938969 ) 2969484 2969485 1 P 0 1 1 _____________________________________________________________________________ 20684 2438 ( 2 , 2971922 ) 20686 2438 ( 106 , 56074 ) 20685 20687 2438 2438 1485960 ( 46 , 129214 ) 64584 ( 1058 , 5618 ) 2280 27984 1485962 64630 28090 3338 M M M M 0 4 46 2 2 106 4 _____________________________________________________________________________ 20688 2439 ( 1 , 5948721 ) 2974360 2974361 P 1 950 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20689 2439 ( 3 , 1982907 ) 20691 2439 ( 27 , 220323 ) 20690 20692 20693 20694 2439 2439 2439 2439 991452 ( 9 , 660969 ) 330480 ( 81 , 73441 ) 36680 ( 813 , 7317 ) 3252 ( 271 , 21951 ) 110148 10840 991455 M 330489 M 110175 36761 11111 4065 3 9 M P 1 M M 2 3 5 813 271 7 _____________________________________________________________________________ 20695 2440 ( 2 , 2976800 ) 20697 2440 ( 8 , 744200 ) 20696 20698 20699 20700 20701 20702 20703 20704 20705 20706 20707 20708 20709 20710 20711 20712 20713 2440 2440 2440 2440 2440 2440 2440 2440 2440 2440 2440 2440 2440 2440 2440 2440 2440 ( 4 , 1488400 ) ( 10 , 595360 ) ( 16 , 372100 ) ( 20 , 297680 ) ( 32 , 186050 ) ( 40 , 148840 ) ( 50 , 119072 ) ( 80 , 74420 ) ( 100 , 59536 ) ( 122 , 48800 ) ( 160 , 37210 ) ( 200 , 29768 ) ( 244 , 24400 ) ( 400 , 14884 ) ( 488 , 12200 ) ( 610 , 9760 ) ( 800 , 7442 ) 1488399 744198 372096 297675 186042 148830 1488401 744202 M 372104 297685 186058 P 59511 59561 P 29718 24339 18525 14784 12078 7242 5856 4575 3321 74440 4121 1 10 2 61 M 14984 5 M M M M P 10 40 M 18685 5185 1 M 24461 6344 M M 29818 7642 2 M 37250 12322 5 M 148850 1 8 M 93041 37170 2 M 93009 74400 P 8 M 2 122 488 305 1 951 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20714 2440 ( 976 , 6100 ) 2562 3538 M 122 20716 2440 ( 1952 , 3050 ) 549 2501 M 61 20715 2440 ( 1220 , 4880 ) 1830 3050 M 610 4 18 22 _____________________________________________________________________________ 20717 2441 ( 1 , 5958481 ) 2979240 2979241 P 1 0 1 1 _____________________________________________________________________________ 20718 2442 ( 2 , 2981682 ) 20720 2442 ( 18 , 331298 ) 20719 20721 20722 20723 20724 20725 20726 20727 20728 20729 20730 2442 2442 2442 2442 2442 2442 2442 2442 2442 2442 2442 ( 6 , 993894 ) ( 22 , 271062 ) ( 66 , 90354 ) ( 74 , 80586 ) ( 198 , 30118 ) ( 222 , 26862 ) ( 242 , 24642 ) 1490840 496944 165640 135520 45144 40256 14960 13320 12200 1490842 496950 165658 135542 45210 40330 4810 M ( 814 , 7326 ) 3256 4070 M ( 2178 , 2738 ) 280 4470 22 M 4144 3744 74 M 13542 222 M M 2 74 M 2458 22 66 M 15158 12442 2 M M 2 6 M ( 666 , 8954 ) ( 726 , 8214 ) M M 6 814 0 13 2 13 _____________________________________________________________________________ 20731 2443 ( 1 , 5968249 ) 20733 2443 ( 49 , 121801 ) 20732 20734 2443 2443 2984124 ( 7 , 852607 ) 426300 ( 349 , 17101 ) 8376 60876 2984125 426307 60925 8725 M M P P 1 349 7 1 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 952 2 2 4 _____________________________________________________________________________ 20735 2444 ( 2 , 2986568 ) 20737 2444 ( 8 , 746642 ) 373317 373325 ( 52 , 114868 ) 57408 57460 20736 20738 20739 20740 20741 20742 20743 20744 20745 20746 20747 2444 2444 2444 2444 2444 2444 2444 2444 2444 2444 2444 ( 4 , 1493284 ) ( 26 , 229736 ) ( 94 , 63544 ) ( 104 , 57434 ) ( 188 , 31772 ) ( 338 , 17672 ) ( 376 , 15886 ) ( 676 , 8836 ) ( 1222 , 4888 ) ( 1352 , 4418 ) 1493283 746640 114855 31725 28665 15792 8667 7755 4080 1833 1533 1493285 746644 M P 114881 M 31819 9005 3055 M 13 188 1 M 47 M 4 P 1 2885 13 47 M P 4 1 52 M 15980 4756 1 M 28769 8131 P M 611 4 9 13 _____________________________________________________________________________ 20748 2445 ( 1 , 5978025 ) 2989012 20750 2445 ( 5 , 1195605 ) 597800 20749 20751 20752 20753 20754 20755 20756 20757 2445 2445 2445 2445 2445 2445 2445 2445 ( 3 , 1992675 ) ( 9 , 664225 ) ( 15 , 398535 ) ( 25 , 239121 ) ( 45 , 132845 ) ( 75 , 79707 ) ( 163 , 36675 ) ( 225 , 26569 ) 996336 332108 199260 119548 66400 39816 18256 13172 2989013 996339 M 597805 P 199275 66445 39891 18419 13397 3 M 332117 119573 P 1 M M P 5 M 3 P 1 M 1 5 15 1 163 953 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20758 2445 ( 489 , 12225 ) 20760 2445 ( 1467 , 4075 ) 20759 2445 ( 815 , 7335 ) 5868 3260 1304 6357 4075 2771 M 489 M 815 M 4 9 163 13 _____________________________________________________________________________ 20761 2446 ( 2 , 2991458 ) 1495728 1495730 M 0 1 2 1 _____________________________________________________________________________ 20762 2447 ( 1 , 5987809 ) 2993904 2993905 P 1 0 1 1 _____________________________________________________________________________ 20763 2448 ( 2 , 2996352 ) 20765 2448 ( 6 , 998784 ) 20764 20766 20767 20768 20769 20770 20771 20772 20773 20774 20775 20776 20777 20778 2448 2448 2448 2448 2448 2448 2448 2448 2448 2448 2448 2448 2448 2448 ( 4 , 1498176 ) ( 8 , 749088 ) ( 12 , 499392 ) ( 16 , 374544 ) ( 18 , 332928 ) ( 24 , 249696 ) ( 32 , 187272 ) ( 34 , 176256 ) ( 36 , 166464 ) ( 48 , 124848 ) ( 54 , 110976 ) 1498175 749086 499389 374540 249690 187264 166455 124836 1498177 749090 M 499395 249702 M 83214 83250 M 55461 62448 55515 16 M 93652 62400 6 M 166473 88145 4 M 187280 9 M 4 M 18 48 3 ( 64 , 93636 ) 46786 46850 M 2 ( 72 , 83232 ) 41580 41652 M 36 ( 68 , 88128 ) 44030 44098 M 12 17 M M 1 3 M 93620 88111 2 M 374548 124860 P 34 954 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20779 2448 ( 96 , 62424 ) 20781 2448 ( 108 , 55488 ) 20780 20782 20783 20784 20785 20786 20787 20788 20789 20790 20791 20792 20793 20794 20795 20796 20797 20798 20799 20800 20801 20802 20803 20804 20805 2448 2448 2448 2448 2448 2448 2448 2448 2448 2448 2448 2448 2448 2448 2448 2448 2448 2448 2448 2448 2448 2448 2448 2448 2448 ( 102 , 58752 ) ( 128 , 46818 ) ( 136 , 44064 ) ( 144 , 41616 ) ( 162 , 36992 ) ( 192 , 31212 ) ( 204 , 29376 ) ( 216 , 27744 ) ( 272 , 22032 ) ( 288 , 20808 ) ( 306 , 19584 ) ( 324 , 18496 ) ( 384 , 15606 ) ( 408 , 14688 ) ( 432 , 13872 ) ( 544 , 11016 ) ( 576 , 10404 ) ( 578 , 10368 ) 31164 29325 27690 23345 21964 20736 18415 15510 14586 13764 10880 10260 31260 M 29427 M 27798 22100 18577 14790 11152 M 4914 4895 5490 5473 12 M 7995 5780 102 M 7611 5236 6 M 13980 7152 1 M M 6720 144 P 15702 7548 68 M 9945 7140 1 M 20880 9410 6 P 9639 9086 51 M 23473 10548 12 M M M M M P M 272 36 153 2 3 204 48 68 18 1 ( 612 , 9792 ) 4590 5202 M 306 ( 816 , 7344 ) 3264 4080 M 816 ( 648 , 9248 ) ( 864 , 6936 ) ( 918 , 6528 ) ( 1088 , 5508 ) ( 1152 , 5202 ) 4300 3036 2805 2210 2025 4948 3900 3723 3298 3177 M M M M M 4 12 51 34 9 955 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20806 2448 ( 1156 , 5184 ) 2014 3170 M 2 20808 2448 ( 1296 , 4624 ) 1664 2960 M 16 20807 20809 20810 20811 20812 20813 20814 2448 2448 2448 2448 2448 2448 2448 ( 1224 , 4896 ) ( 1632 , 3672 ) ( 1728 , 3468 ) ( 1734 , 3456 ) ( 1836 , 3264 ) ( 2176 , 2754 ) ( 2312 , 2592 ) 1836 1020 3060 2652 M 612 M 204 870 2598 M 6 714 2550 M 102 861 289 140 2595 M 2465 3 M 2452 17 M 4 48 4 52 _____________________________________________________________________________ 20815 2449 ( 1 , 5997601 ) 20817 2449 ( 79 , 75919 ) 20816 20818 2449 2449 ( 31 , 193471 ) ( 961 , 6241 ) 2998800 96720 37920 2640 2998801 96751 37999 3601 P P M M 2 2 31 1 79 1 4 _____________________________________________________________________________ 20819 2450 ( 2 , 3001250 ) 20821 2450 ( 14 , 428750 ) 20820 20822 20823 20824 20825 20826 20827 20828 2450 2450 2450 2450 2450 2450 2450 2450 1500624 ( 10 , 600250 ) 300120 ( 50 , 120050 ) 60000 ( 70 , 85750 ) ( 98 , 61250 ) ( 250 , 24010 ) ( 350 , 17150 ) ( 490 , 12250 ) ( 686 , 8750 ) 214368 42840 30576 11880 8400 5880 4032 1500626 300130 214382 60050 M 42910 8750 6370 4718 10 M 14 50 M 30674 12130 M M 70 M M M M M 98 10 350 490 14 2 956 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20829 20830 2450 2450 ( 1250 , 4802 ) ( 1750 , 3430 ) 1776 840 3026 2590 M M 2 0 12 70 12 _____________________________________________________________________________ 20831 2451 ( 1 , 6007401 ) 20833 2451 ( 9 , 667489 ) 333740 333749 ( 43 , 139707 ) 69832 69875 M 23220 23349 M 20832 20834 20835 20836 20837 20838 20839 20840 20841 20842 20843 2451 2451 2451 2451 2451 2451 2451 2451 2451 2451 2451 ( 3 , 2002467 ) ( 19 , 316179 ) ( 57 , 105393 ) ( 129 , 46569 ) ( 171 , 35131 ) ( 361 , 16641 ) ( 387 , 15523 ) 3003700 1001232 158080 52668 17480 8140 7568 3003701 1001235 52725 17651 8501 7955 M 1 M ( 1849 , 3249 ) 700 2549 P 19 57 129 19 1 M M 3 43 M P 4085 3315 1 M 3268 2232 P 158099 ( 817 , 7353 ) ( 1083 , 5547 ) P 43 817 M 4 9 1 3 13 _____________________________________________________________________________ 20844 2452 ( 2 , 3006152 ) 20846 2452 ( 8 , 751538 ) 20845 20847 2452 2452 ( 4 , 1503076 ) ( 1226 , 4904 ) 1503075 751536 375765 1839 1503077 751540 375773 3065 M M P P 2 1 2 4 1 613 4 _____________________________________________________________________________ 20848 20849 2453 2453 ( 1 , 6017209 ) ( 11 , 547019 ) 3008604 273504 3008605 273515 M P 1 11 957 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20850 20851 2453 2453 ( 121 , 49729 ) ( 223 , 26983 ) 24804 13380 24925 13603 P 1 M 2 2 223 4 _____________________________________________________________________________ 20852 2454 ( 2 , 3011058 ) 1505528 20854 2454 ( 18 , 334562 ) 167272 20853 20855 2454 2454 ( 6 , 1003686 ) ( 818 , 7362 ) 501840 3272 1505530 501846 M 167290 4090 M M M 0 4 6 818 2 2 4 _____________________________________________________________________________ 20856 2455 ( 1 , 6027025 ) 3013512 20858 2455 ( 25 , 241081 ) 120528 20857 20859 2455 2455 ( 5 , 1205405 ) ( 491 , 12275 ) 602700 5892 3013513 602705 120553 6383 M P P M 2 2 5 491 1 1 4 _____________________________________________________________________________ 20860 2456 ( 2 , 3015968 ) 20862 2456 ( 8 , 753992 ) 376992 377000 ( 32 , 188498 ) 94233 94265 20861 20863 20864 20865 20866 2456 2456 2456 2456 2456 ( 4 , 1507984 ) ( 16 , 376996 ) ( 614 , 9824 ) ( 1228 , 4912 ) 1507983 753990 188490 4605 1842 1507985 753994 M 3070 2 M 188506 5219 P M P M 2 1 8 M 1 2 307 5 614 7 _____________________________________________________________________________ 20867 20868 2457 2457 ( 1 , 6036849 ) ( 3 , 2012283 ) 3018424 1006140 3018425 1006143 P M 1 3 958 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20869 2457 ( 7 , 862407 ) 20871 2457 ( 13 , 464373 ) 20870 20872 20873 20874 20875 20876 20877 20878 20879 20880 20881 20882 20883 20884 20885 20886 20887 20888 20889 20890 20891 20892 20893 20894 20895 2457 2457 2457 2457 2457 2457 2457 2457 2457 2457 2457 2457 2457 2457 2457 2457 2457 2457 2457 2457 2457 2457 2457 2457 2457 ( 9 , 670761 ) ( 21 , 287469 ) ( 27 , 223587 ) ( 39 , 154791 ) ( 49 , 123201 ) 431200 335376 232180 143724 111780 77376 61576 431207 M 335385 7 M 232193 9 M 143745 13 M 111807 77415 M 61625 21 M 27 39 P 1 ( 63 , 95823 ) 47880 47943 M 63 ( 91 , 66339 ) 33124 33215 M 91 ( 81 , 74529 ) ( 117 , 51597 ) ( 147 , 41067 ) ( 169 , 35721 ) ( 189 , 31941 ) ( 243 , 24843 ) ( 273 , 22113 ) ( 351 , 17199 ) ( 441 , 13689 ) ( 507 , 11907 ) ( 567 , 10647 ) 37224 25740 20460 17776 15876 12300 10920 37305 M 25857 M 20607 16065 M 5700 6207 M 5607 M 4420 5057 M ( 819 , 7371 ) 3276 4095 M ( 1053 , 5733 ) ( 1183 , 5103 ) ( 1323 , 4563 ) ( 1521 , 3969 ) 3776 2340 1960 1620 1224 4505 3393 3143 2943 2745 3 M 273 351 M ( 637 , 9477 ) ( 729 , 8281 ) 189 M 8775 5040 1 M 12543 7065 3 P 8424 6624 117 M 17945 11193 9 P M M M M 9 3 63 13 1 819 117 7 27 9 959 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20896 20897 2457 2457 ( 1701 , 3549 ) ( 1911 , 3159 ) 924 624 2625 M 2535 M 21 4 27 39 31 _____________________________________________________________________________ 20898 2458 ( 2 , 3020882 ) 1510440 1510442 M 0 1 2 1 _____________________________________________________________________________ 20899 2459 ( 1 , 6046681 ) 3023340 3023341 P 1 0 1 1 _____________________________________________________________________________ 20900 2460 ( 2 , 3025800 ) 1512899 20902 2460 ( 6 , 1008600 ) 504297 20901 20903 20904 20905 20906 20907 20908 20909 20910 20911 20912 20913 20914 20915 20916 2460 2460 2460 2460 2460 2460 2460 2460 2460 2460 2460 2460 2460 2460 2460 ( 4 , 1512900 ) ( 8 , 756450 ) ( 10 , 605160 ) ( 12 , 504300 ) ( 18 , 336200 ) ( 20 , 302580 ) ( 24 , 252150 ) ( 30 , 201720 ) ( 36 , 168100 ) ( 40 , 151290 ) ( 50 , 121032 ) ( 60 , 100860 ) 756448 378221 302575 252144 168091 151280 126063 100845 1512901 756452 M 504303 P 302585 252156 M 168109 M 60491 60541 P 50400 50460 ( 72 , 84050 ) 41989 42061 P ( 90 , 67240 ) 33575 33665 M ( 82 , 73800 ) 36859 36941 3 M 4 M M M 5 20 M 84068 3 1 M 126087 1 12 P 151300 75665 1 M 84032 75625 4 M 378229 100875 P 15 5 1 1 60 41 5 960 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20917 2460 ( 100 , 60516 ) 30208 30308 M 4 20919 2460 ( 150 , 40344 ) 20097 20247 M 3 20918 20920 20921 20922 20923 20924 20925 20926 20927 20928 20929 20930 20931 20932 20933 20934 20935 20936 20937 20938 20939 2460 2460 2460 2460 2460 2460 2460 2460 2460 2460 2460 2460 2460 2460 2460 2460 2460 2460 2460 2460 2460 ( 120 , 50430 ) ( 164 , 36900 ) ( 180 , 33620 ) ( 200 , 30258 ) ( 246 , 24600 ) ( 300 , 20172 ) ( 328 , 18450 ) ( 360 , 16810 ) ( 410 , 14760 ) ( 450 , 13448 ) ( 492 , 12300 ) ( 600 , 10086 ) 25155 18368 16720 15029 12177 25275 18532 8585 7175 6499 5904 4743 20 P 12423 8225 164 M 15229 10236 15 M 16900 9936 9061 M 1 M 123 M 12 9389 M 41 7585 M 205 M 6949 P 6396 5343 5 1 M 492 M 3 ( 738 , 8200 ) 3731 4469 M 41 ( 900 , 6724 ) 2912 3812 M 4 ( 820 , 7380 ) ( 984 , 6150 ) ( 1230 , 4920 ) ( 1476 , 4100 ) ( 1640 , 3690 ) ( 1800 , 3362 ) ( 2050 , 2952 ) 3280 2583 1845 1312 1025 781 451 4100 M 3567 3075 M 2581 2501 123 M 2788 2665 820 615 M 164 M P M 1 8 32 205 41 40 _____________________________________________________________________________ 20940 20941 2461 2461 ( 1 , 6056521 ) ( 23 , 263327 ) 3028260 131652 3028261 131675 M P 1 23 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20942 20943 2461 2461 ( 107 , 56603 ) ( 529 , 11449 ) 28248 5460 28355 5989 P 961 M 2 2 1 107 4 _____________________________________________________________________________ 20944 2462 ( 2 , 3030722 ) 1515360 1515362 M 0 1 2 1 _____________________________________________________________________________ 20945 2463 ( 1 , 6066369 ) 20947 2463 ( 9 , 674041 ) 20946 20948 2463 2463 ( 3 , 2022123 ) ( 821 , 7389 ) 3033184 1011060 337016 3284 3033185 P 1011063 337025 4105 M P 2 1 M 2 821 3 1 4 _____________________________________________________________________________ 20949 2464 ( 2 , 3035648 ) 20951 2464 ( 8 , 758912 ) 20950 20952 20953 20954 20955 20956 20957 20958 20959 20960 20961 20962 2464 2464 2464 2464 2464 2464 2464 2464 2464 2464 2464 2464 ( 4 , 1517824 ) ( 14 , 433664 ) ( 16 , 379456 ) ( 22 , 275968 ) ( 28 , 216832 ) ( 32 , 189728 ) ( 44 , 137984 ) ( 56 , 108416 ) 1517823 758910 379452 216825 189720 137973 108402 1517825 758914 M 379460 189736 M 54180 54236 M 47400 47464 M ( 98 , 61952 ) 30927 31025 P ( 112 , 54208 ) 34452 27048 34540 27160 11 M 14 32 M ( 64 , 94864 ) ( 88 , 68992 ) 8 M 94880 69014 7 M 137995 M M 1 4 M 94848 68970 2 M 216839 108430 P 22 8 28 44 1 56 962 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 20963 2464 ( 128 , 47432 ) 23652 23780 M 4 20965 2464 ( 176 , 34496 ) 17160 17336 M 88 20964 20966 20967 20968 20969 20970 20971 20972 20973 20974 20975 20976 20977 20978 20979 20980 20981 20982 20983 20984 20985 20986 20987 20988 2464 2464 2464 2464 2464 2464 2464 2464 2464 2464 2464 2464 2464 2464 2464 2464 2464 2464 2464 2464 2464 2464 2464 2464 ( 154 , 39424 ) ( 196 , 30976 ) ( 224 , 27104 ) ( 242 , 25088 ) ( 256 , 23716 ) ( 308 , 19712 ) ( 352 , 17248 ) ( 392 , 15488 ) ( 448 , 13552 ) ( 484 , 12544 ) ( 512 , 11858 ) 19635 15390 13440 12423 11730 19789 15586 7940 6552 6030 5673 224 P 11986 7548 2 M 12665 10010 77 M 13664 9702 8448 M 1 M 2 M 154 8800 M 352 7000 M 56 6514 6185 M 4 M 2 P 1 ( 616 , 9856 ) 4620 5236 M 308 ( 784 , 7744 ) 3480 4264 M 8 ( 704 , 8624 ) ( 896 , 6776 ) ( 968 , 6272 ) ( 1078 , 5632 ) ( 1232 , 4928 ) ( 1408 , 4312 ) ( 1568 , 3872 ) ( 1694 , 3584 ) ( 1792 , 3388 ) ( 1936 , 3136 ) ( 2156 , 2816 ) 3960 2940 2652 2277 1848 1452 1152 4664 3836 3620 3355 3080 2860 2720 M 88 M 28 M 4 M 11 M 616 M 44 M 32 945 2639 M 7 600 2536 M 8 798 330 2590 2486 M M 14 4 36 22 40 963 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 20989 2465 ( 1 , 6076225 ) 3038112 20991 2465 ( 17 , 357425 ) 178704 ( 29 , 209525 ) 104748 20990 20992 20993 20994 20995 20996 20997 20998 20999 21000 21001 2465 2465 2465 2465 2465 2465 2465 2465 2465 2465 2465 ( 5 , 1215245 ) ( 25 , 243049 ) ( 85 , 71485 ) ( 145 , 41905 ) ( 289 , 21025 ) ( 425 , 14297 ) ( 493 , 12325 ) ( 725 , 8381 ) ( 841 , 7225 ) ( 1445 , 4205 ) 3038113 607620 607625 121512 121537 35700 20880 10368 6936 5916 3828 3192 1380 M 178721 M 104777 M M 21025 7361 4033 2825 M 1 17 1 85 M 10657 4553 5 P 35785 6409 P 29 145 P 1 17 M 493 M 29 P 1 M 4 9 5 13 _____________________________________________________________________________ 21002 2466 ( 2 , 3040578 ) 1520288 21004 2466 ( 18 , 337842 ) 168912 ( 162 , 37538 ) 18688 21003 21005 21006 21007 21008 2466 2466 2466 2466 2466 ( 6 , 1013526 ) ( 54 , 112614 ) ( 274 , 22194 ) ( 822 , 7398 ) 506760 56280 10960 3288 1520290 506766 168930 M 56334 M 11234 M 18850 4110 M 6 M 6 M M 0 2 18 2 7 822 274 7 _____________________________________________________________________________ 21009 2467 ( 1 , 6086089 ) 3043044 3043045 1 P 0 1 1 964 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 21010 2468 ( 2 , 3045512 ) 21012 2468 ( 8 , 761378 ) 21011 21013 2468 2468 ( 4 , 1522756 ) ( 1234 , 4936 ) 1522755 761376 380685 1851 1522757 761380 380693 3085 M P P M 2 1 2 4 1 617 4 _____________________________________________________________________________ 21014 2469 ( 1 , 6095961 ) 21016 2469 ( 9 , 677329 ) 21015 21017 2469 2469 ( 3 , 2031987 ) ( 823 , 7407 ) 3047980 1015992 338660 3292 3047981 P 1015995 338669 4115 M P 2 1 M 2 823 3 1 4 _____________________________________________________________________________ 21018 2470 ( 2 , 3050450 ) 21020 2470 ( 26 , 234650 ) 21019 21021 21022 21023 21024 21025 21026 21027 21028 21029 21030 2470 2470 2470 2470 2470 2470 2470 2470 2470 2470 2470 1525224 1525226 ( 10 , 610090 ) 305040 ( 38 , 160550 ) 80256 80294 M 23400 23530 M ( 50 , 122018 ) ( 130 , 46930 ) ( 190 , 32110 ) ( 338 , 18050 ) ( 494 , 12350 ) 117312 60984 15960 8856 5928 305050 M 117338 61034 16150 9194 6422 M 10 M 26 38 M M 2 130 M 2 M 494 ( 650 , 9386 ) 4368 5018 M 26 ( 950 , 6422 ) 2736 3686 M 38 ( 722 , 8450 ) ( 1690 , 3610 ) 3864 960 4586 2650 M M 190 2 0 13 10 13 2 965 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 21031 2471 ( 1 , 6105841 ) 21033 2471 ( 49 , 124609 ) 21032 21034 2471 2471 3052920 ( 7 , 872263 ) 436128 ( 353 , 17297 ) 8472 62280 3052921 436135 62329 8825 M M P P 2 1 2 7 1 353 4 _____________________________________________________________________________ 21035 2472 ( 2 , 3055392 ) 1527695 21037 2472 ( 6 , 1018464 ) 509229 21036 21038 21039 21040 21041 21042 21043 21044 21045 21046 21047 21048 21049 21050 21051 21052 21053 21054 2472 2472 2472 2472 2472 2472 2472 2472 2472 2472 2472 2472 2472 2472 2472 2472 2472 2472 ( 4 , 1527696 ) ( 8 , 763848 ) ( 12 , 509232 ) ( 16 , 381924 ) ( 18 , 339488 ) ( 24 , 254616 ) ( 32 , 190962 ) ( 36 , 169744 ) ( 48 , 127308 ) ( 72 , 84872 ) ( 96 , 63654 ) ( 144 , 42436 ) ( 206 , 29664 ) ( 288 , 21218 ) ( 412 , 14832 ) ( 618 , 9888 ) ( 824 , 7416 ) ( 1236 , 4944 ) 763846 381920 254610 190954 169735 127296 1527697 763850 M 509235 381928 254622 169753 127320 63678 M 14729 10465 7210 4635 3296 1854 84890 M 42472 M 31875 M 21290 M 14935 10753 7622 5253 4120 3090 2 P 63630 21146 6 M P 31779 8 M 190970 M M M M M P M 1 3 M 95497 42400 2 M 95465 84854 P 1 1 24 2 8 3 6 2 103 1 206 309 824 618 966 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 21055 21056 2472 2472 ( 1648 , 3708 ) ( 1854 , 3296 ) 1030 721 2678 2575 M M 206 4 18 103 22 _____________________________________________________________________________ 21057 2473 ( 1 , 6115729 ) 3057864 3057865 P 1 0 1 1 _____________________________________________________________________________ 21058 2474 ( 2 , 3060338 ) 1530168 1530170 M 0 1 2 1 _____________________________________________________________________________ 21059 2475 ( 1 , 6125625 ) 3062812 21061 2475 ( 5 , 1225125 ) 612560 21060 21062 21063 21064 21065 21066 21067 21068 21069 21070 21071 21072 21073 21074 21075 2475 2475 2475 2475 2475 2475 2475 2475 2475 2475 2475 2475 2475 2475 2475 ( 3 , 2041875 ) ( 9 , 680625 ) ( 11 , 556875 ) ( 15 , 408375 ) ( 25 , 245025 ) ( 27 , 226875 ) ( 33 , 185625 ) ( 45 , 136125 ) ( 55 , 111375 ) 1020936 340308 278432 204180 122500 113424 3062813 P 1020939 612565 M 340317 204195 92829 M 55660 55715 M 40875 M ( 99 , 61875 ) 30888 30987 M ( 121 , 50625 ) ( 125 , 49005 ) ( 135 , 45375 ) 25252 24440 22620 37853 25373 24565 22755 15 25 M 3 33 M 40800 37772 11 M ( 75 , 81675 ) ( 81 , 75625 ) 9 M 122525 68085 5 M 92796 68040 M M 278443 113451 1 P P M M 45 55 75 1 99 1 5 15 3 967 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 21076 2475 ( 165 , 37125 ) 18480 18645 M 165 21078 2475 ( 275 , 22275 ) 11000 11275 M 275 21077 21079 21080 21081 21082 21083 21084 21085 21086 21087 21088 21089 21090 21091 21092 21093 21094 21095 2475 2475 2475 2475 2475 2475 2475 2475 2475 2475 2475 2475 2475 2475 2475 2475 2475 2475 ( 225 , 27225 ) ( 297 , 20625 ) ( 363 , 16875 ) ( 375 , 16335 ) ( 405 , 15125 ) ( 495 , 12375 ) ( 605 , 10125 ) 13500 10164 13725 M 10461 8256 8619 M 7360 7765 M 7980 5940 4760 8355 5213 P ( 825 , 7425 ) 3300 4125 M ( 891 , 6875 ) ( 1089 , 5625 ) ( 1125 , 5445 ) ( 1375 , 4455 ) ( 1485 , 4125 ) ( 1815 , 3375 ) ( 1875 , 3267 ) ( 2025 , 3025 ) 4200 2992 2268 2160 1540 1320 4875 15 5 495 M 4588 1 M 3883 3357 2805 825 11 M 9 M 2915 5 75 M 3285 45 M 55 M 165 780 2595 M 15 500 2525 M 25 696 2571 33 3 M ( 625 , 9801 ) ( 675 , 9075 ) M M 6435 5365 225 M 3 4 33 37 _____________________________________________________________________________ 21096 2476 ( 2 , 3065288 ) 21098 2476 ( 8 , 766322 ) 21097 21099 2476 2476 ( 4 , 1532644 ) ( 1238 , 4952 ) 1532643 766320 383157 1857 1532645 766324 383165 3095 M M 2 P P 1 2 619 4 4 1 968 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py _____________________________________________________________________________ 21100 2477 ( 1 , 6135529 ) 3067764 3067765 P 1 0 1 1 _____________________________________________________________________________ 21101 2478 ( 2 , 3070242 ) 1535120 21103 2478 ( 14 , 438606 ) 219296 ( 42 , 146202 ) 73080 21102 21104 21105 21106 21107 21108 21109 21110 21111 21112 21113 2478 2478 2478 2478 2478 2478 2478 2478 2478 2478 2478 ( 6 , 1023414 ) ( 18 , 341138 ) ( 98 , 62658 ) ( 118 , 52038 ) ( 126 , 48734 ) ( 294 , 20886 ) ( 354 , 17346 ) ( 826 , 7434 ) ( 882 , 6962 ) ( 1062 , 5782 ) 1535122 511704 511710 170560 170578 31280 25960 24304 10296 8496 3304 3040 2360 M 219310 M 31378 3422 2 2 M 10590 3922 M M 24430 M 2 14 M 26078 4130 6 M 73122 8850 M 42 118 14 M 6 354 M 826 M 2 M 0 13 118 13 _____________________________________________________________________________ 21114 2479 ( 1 , 6145441 ) 21116 2479 ( 67 , 91723 ) 21115 21117 2479 2479 ( 37 , 166093 ) ( 1369 , 4489 ) 3072720 83028 45828 1560 3072721 83065 45895 2929 P M M P 2 2 37 1 1 67 4 _____________________________________________________________________________ 21118 21119 2480 2480 ( 2 , 3075200 ) ( 4 , 1537600 ) 1537599 768798 1537601 768802 M P 2 1 969 Triples list : x = 3 through 20000; 19th Feb 2019; Module: triple6.py 21120 2480 ( 8 , 768800 ) 21122 2480 ( 16 , 384400 ) 21121 21123 21124 21125 21126 21127 21128 21129 21130 21131 21132 21133 21134 21135 21136 21137 21138 21139 21140 21141 21142 21143 21144 21145 21146 2480 2480 2480 2480 2480 2480 2480 2480 2480 2480 2480 2480 2480 2480 2480 2480 2480 2480 2480 2480 2480 2480 2480 2480 2480 ( 10 , 615040 ) ( 20 , 307520 ) ( 32 , 192200 ) ( 40 , 153760 ) ( 50 , 123008 ) 384396 307515 192192 153750 384404 M 307525 M 192208 5 M 153770 96084 96116 M 61479 61529 P 76860 4 76900 16 M 4 M 20 1 ( 62 , 99200 ) 49569 49631 M 31 ( 80 , 76880 ) 38400 38480 M 80 ( 64 , 96100 ) ( 100 , 61504 ) ( 124 , 49600 ) ( 128 , 48050 ) ( 160 , 38440 ) ( 200 , 30752 ) ( 248 , 24800 ) ( 310 , 19840 ) ( 320 , 19220 ) ( 400 , 15376 ) ( 496 , 12400 ) 48018 30702 24738 23961 19140 15276 12276 48082 5952 1 M 15476 20 M 12524 7888 62 P 19300 7488 2 M 24089 10075 2 M 24862 9765 9450 M 30802 4 M M 124 155 9770 M 10 6448 M 496 M 16 ( 620 , 9920 ) 4650 5270 M 310 ( 800 , 7688 ) 3444 4244 M 4 ( 640 , 9610 ) ( 992 , 6200 ) ( 1240 , 4960 ) ( 1550 , 3968 ) ( 1600 , 3844 ) 4485 2604 1860 1209 1122