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kyleaskine
Jul 11th, 2026
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  1. Fri Jul 10 16:42:50 2026
  2. Fri Jul 10 16:42:50 2026
  3. Fri Jul 10 16:42:50 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Jul 10 16:42:50 2026 random seeds: 55e02091 546740e9
  5. Fri Jul 10 16:42:50 2026 Using 2 OpenMP threads
  6. Fri Jul 10 16:42:50 2026 factoring 22388038870970186689764117766531831324785302148466585954781545420201769885863742572594405935997968925562485943765593350273681718014488988082472150290185803211329929418104081096500652236700768291 (194 digits)
  7. Fri Jul 10 16:42:50 2026 no P-1/P+1/ECM available, skipping
  8. Fri Jul 10 16:42:50 2026 commencing number field sieve (194-digit input)
  9. Fri Jul 10 16:42:50 2026 R0: 279078490021828554466220167808251320188667868911072727
  10. Fri Jul 10 16:42:50 2026 R1: -1
  11. Fri Jul 10 16:42:50 2026 A0: 1
  12. Fri Jul 10 16:42:50 2026 A1: 1
  13. Fri Jul 10 16:42:50 2026 A2: 1
  14. Fri Jul 10 16:42:50 2026 A3: 1
  15. Fri Jul 10 16:42:50 2026 A4: 1
  16. Fri Jul 10 16:42:50 2026 skew 1.94, size 8.565e-22, alpha 1.694, combined = 5.327e-13 rroots = 0
  17. Fri Jul 10 16:42:50 2026
  18. Fri Jul 10 16:42:50 2026 commencing relation filtering
  19. Fri Jul 10 16:42:50 2026 estimated available RAM is 31871.6 MB
  20. Fri Jul 10 16:42:50 2026 commencing duplicate removal, pass 1
  21. Fri Jul 10 16:42:52 2026 error -1 reading relation 1074724
  22. Fri Jul 10 16:42:52 2026 error -1 reading relation 1074725
  23. Fri Jul 10 16:42:54 2026 error -1 reading relation 2405932
  24. Fri Jul 10 16:42:55 2026 error -1 reading relation 2942107
  25. Fri Jul 10 16:43:02 2026 error -1 reading relation 6989527
  26. Fri Jul 10 16:43:06 2026 error -1 reading relation 9145190
  27. Fri Jul 10 16:43:13 2026 error -1 reading relation 12885024
  28. Fri Jul 10 16:43:16 2026 error -1 reading relation 14605487
  29. Fri Jul 10 16:43:16 2026 error -6 reading relation 14930952
  30. Fri Jul 10 16:43:22 2026 error -1 reading relation 18155784
  31. Fri Jul 10 16:43:24 2026 error -1 reading relation 19667829
  32. Fri Jul 10 16:43:24 2026 error -11 reading relation 19712218
  33. Fri Jul 10 16:43:25 2026 error -1 reading relation 19754544
  34. Fri Jul 10 16:43:32 2026 error -1 reading relation 23809070
  35. Fri Jul 10 16:43:32 2026 error -1 reading relation 23809071
  36. Fri Jul 10 16:43:32 2026 error -1 reading relation 23982930
  37. Fri Jul 10 16:43:32 2026 error -1 reading relation 24325258
  38. Fri Jul 10 16:43:41 2026 error -1 reading relation 29346829
  39. Fri Jul 10 16:43:48 2026 error -1 reading relation 33406556
  40. Fri Jul 10 16:43:53 2026 error -1 reading relation 36139446
  41. Fri Jul 10 16:43:54 2026 error -1 reading relation 36598415
  42. Fri Jul 10 16:43:54 2026 error -1 reading relation 36760724
  43. Fri Jul 10 16:43:55 2026 error -1 reading relation 37311898
  44. Fri Jul 10 16:43:58 2026 error -1 reading relation 38709830
  45. Fri Jul 10 16:44:03 2026 error -1 reading relation 41879064
  46. Fri Jul 10 16:44:04 2026 error -1 reading relation 42574142
  47. Fri Jul 10 16:44:04 2026 error -1 reading relation 42574143
  48. Fri Jul 10 16:44:23 2026 error -1 reading relation 53541106
  49. Fri Jul 10 16:44:23 2026 error -1 reading relation 53886261
  50. Fri Jul 10 16:44:29 2026 error -1 reading relation 57054263
  51. Fri Jul 10 16:44:35 2026 error -1 reading relation 60866031
  52. Fri Jul 10 16:44:50 2026 error -1 reading relation 70188254
  53. Fri Jul 10 16:45:19 2026 error -1 reading relation 88906279
  54. Fri Jul 10 16:45:19 2026 error -1 reading relation 88906280
  55. Fri Jul 10 16:45:44 2026 error -1 reading relation 104599440
  56. Fri Jul 10 16:45:50 2026 error -1 reading relation 108115000
  57. Fri Jul 10 16:45:50 2026 error -1 reading relation 108115001
  58. Fri Jul 10 16:45:52 2026 error -1 reading relation 108993341
  59. Fri Jul 10 16:45:54 2026 error -1 reading relation 110131525
  60. Fri Jul 10 16:45:54 2026 error -1 reading relation 110328506
  61. Fri Jul 10 16:45:56 2026 error -1 reading relation 111287941
  62. Fri Jul 10 16:45:58 2026 error -1 reading relation 112626844
  63. Fri Jul 10 16:46:00 2026 error -1 reading relation 113358344
  64. Fri Jul 10 16:46:02 2026 error -1 reading relation 114574711
  65. Fri Jul 10 16:46:03 2026 error -1 reading relation 115372866
  66. Fri Jul 10 16:46:05 2026 error -1 reading relation 116532998
  67. Fri Jul 10 16:46:07 2026 skipped 7 malformed relations
  68. Fri Jul 10 16:46:07 2026 found 5992639 hash collisions in 117612976 relations
  69. Fri Jul 10 16:46:11 2026 added 3657738 free relations
  70. Fri Jul 10 16:46:11 2026 commencing duplicate removal, pass 2
  71. Fri Jul 10 16:46:30 2026 found 0 duplicates and 121270714 unique relations
  72. Fri Jul 10 16:46:30 2026 memory use: 394.4 MB
  73. Fri Jul 10 16:46:30 2026 reading ideals above 720000
  74. Fri Jul 10 16:46:30 2026 commencing singleton removal, initial pass
  75. Fri Jul 10 16:50:43 2026 memory use: 3012.0 MB
  76. Fri Jul 10 16:50:43 2026 reading all ideals from disk
  77. Fri Jul 10 16:50:45 2026 memory use: 5513.2 MB
  78. Fri Jul 10 16:50:52 2026 keeping 116910198 ideals with weight <= 200, target excess is 639238
  79. Fri Jul 10 16:51:00 2026 commencing in-memory singleton removal
  80. Fri Jul 10 16:51:04 2026 begin with 121270714 relations and 116910198 unique ideals
  81. Fri Jul 10 16:51:31 2026 reduce to 65793893 relations and 54471679 ideals in 15 passes
  82. Fri Jul 10 16:51:31 2026 max relations containing the same ideal: 139
  83. Fri Jul 10 16:51:50 2026 removing 9683535 relations and 7683535 ideals in 2000000 cliques
  84. Fri Jul 10 16:51:51 2026 commencing in-memory singleton removal
  85. Fri Jul 10 16:51:54 2026 begin with 56110358 relations and 54471679 unique ideals
  86. Fri Jul 10 16:52:05 2026 reduce to 54987976 relations and 45621481 ideals in 9 passes
  87. Fri Jul 10 16:52:05 2026 max relations containing the same ideal: 125
  88. Fri Jul 10 16:52:20 2026 removing 7592196 relations and 5592196 ideals in 2000000 cliques
  89. Fri Jul 10 16:52:22 2026 commencing in-memory singleton removal
  90. Fri Jul 10 16:52:23 2026 begin with 47395780 relations and 45621481 unique ideals
  91. Fri Jul 10 16:52:32 2026 reduce to 46615855 relations and 39219733 ideals in 9 passes
  92. Fri Jul 10 16:52:32 2026 max relations containing the same ideal: 110
  93. Fri Jul 10 16:52:45 2026 removing 6943622 relations and 4943622 ideals in 2000000 cliques
  94. Fri Jul 10 16:52:46 2026 commencing in-memory singleton removal
  95. Fri Jul 10 16:52:48 2026 begin with 39672233 relations and 39219733 unique ideals
  96. Fri Jul 10 16:52:56 2026 reduce to 38964148 relations and 33538712 ideals in 10 passes
  97. Fri Jul 10 16:52:56 2026 max relations containing the same ideal: 97
  98. Fri Jul 10 16:53:06 2026 removing 6562592 relations and 4562592 ideals in 2000000 cliques
  99. Fri Jul 10 16:53:08 2026 commencing in-memory singleton removal
  100. Fri Jul 10 16:53:09 2026 begin with 32401556 relations and 33538712 unique ideals
  101. Fri Jul 10 16:53:13 2026 reduce to 31701879 relations and 28243009 ideals in 7 passes
  102. Fri Jul 10 16:53:13 2026 max relations containing the same ideal: 86
  103. Fri Jul 10 16:53:22 2026 removing 6283892 relations and 4283892 ideals in 2000000 cliques
  104. Fri Jul 10 16:53:23 2026 commencing in-memory singleton removal
  105. Fri Jul 10 16:53:24 2026 begin with 25417987 relations and 28243009 unique ideals
  106. Fri Jul 10 16:53:28 2026 reduce to 24665294 relations and 23163133 ideals in 9 passes
  107. Fri Jul 10 16:53:28 2026 max relations containing the same ideal: 75
  108. Fri Jul 10 16:53:35 2026 removing 2813321 relations and 2052677 ideals in 760644 cliques
  109. Fri Jul 10 16:53:36 2026 commencing in-memory singleton removal
  110. Fri Jul 10 16:53:36 2026 begin with 21851973 relations and 23163133 unique ideals
  111. Fri Jul 10 16:53:39 2026 reduce to 21649661 relations and 20902468 ideals in 7 passes
  112. Fri Jul 10 16:53:39 2026 max relations containing the same ideal: 66
  113. Fri Jul 10 16:53:47 2026 relations with 0 large ideals: 50570
  114. Fri Jul 10 16:53:47 2026 relations with 1 large ideals: 12633
  115. Fri Jul 10 16:53:47 2026 relations with 2 large ideals: 149889
  116. Fri Jul 10 16:53:47 2026 relations with 3 large ideals: 892922
  117. Fri Jul 10 16:53:47 2026 relations with 4 large ideals: 2852401
  118. Fri Jul 10 16:53:47 2026 relations with 5 large ideals: 5963825
  119. Fri Jul 10 16:53:47 2026 relations with 6 large ideals: 5693594
  120. Fri Jul 10 16:53:47 2026 relations with 7+ large ideals: 6033827
  121. Fri Jul 10 16:53:47 2026 commencing 2-way merge
  122. Fri Jul 10 16:53:55 2026 reduce to 14546250 relation sets and 13799057 unique ideals
  123. Fri Jul 10 16:53:55 2026 commencing full merge
  124. Fri Jul 10 16:56:39 2026 memory use: 1699.8 MB
  125. Fri Jul 10 16:56:40 2026 found 7145006 cycles, need 7047257
  126. Fri Jul 10 16:56:41 2026 weight of 7047257 cycles is about 634750104 (90.07/cycle)
  127. Fri Jul 10 16:56:41 2026 distribution of cycle lengths:
  128. Fri Jul 10 16:56:41 2026 1 relations: 318396
  129. Fri Jul 10 16:56:41 2026 2 relations: 514087
  130. Fri Jul 10 16:56:41 2026 3 relations: 627043
  131. Fri Jul 10 16:56:41 2026 4 relations: 658937
  132. Fri Jul 10 16:56:41 2026 5 relations: 660133
  133. Fri Jul 10 16:56:41 2026 6 relations: 636736
  134. Fri Jul 10 16:56:41 2026 7 relations: 598841
  135. Fri Jul 10 16:56:41 2026 8 relations: 548657
  136. Fri Jul 10 16:56:41 2026 9 relations: 485177
  137. Fri Jul 10 16:56:41 2026 10+ relations: 1999250
  138. Fri Jul 10 16:56:41 2026 heaviest cycle: 27 relations
  139. Fri Jul 10 16:56:42 2026 commencing cycle optimization
  140. Fri Jul 10 16:56:50 2026 start with 51783190 relations
  141. Fri Jul 10 16:57:47 2026 pruned 2038503 relations
  142. Fri Jul 10 16:57:47 2026 memory use: 1438.6 MB
  143. Fri Jul 10 16:57:47 2026 distribution of cycle lengths:
  144. Fri Jul 10 16:57:47 2026 1 relations: 318396
  145. Fri Jul 10 16:57:47 2026 2 relations: 526001
  146. Fri Jul 10 16:57:47 2026 3 relations: 654619
  147. Fri Jul 10 16:57:47 2026 4 relations: 686169
  148. Fri Jul 10 16:57:47 2026 5 relations: 693196
  149. Fri Jul 10 16:57:47 2026 6 relations: 665030
  150. Fri Jul 10 16:57:47 2026 7 relations: 625089
  151. Fri Jul 10 16:57:47 2026 8 relations: 566431
  152. Fri Jul 10 16:57:47 2026 9 relations: 497490
  153. Fri Jul 10 16:57:47 2026 10+ relations: 1814836
  154. Fri Jul 10 16:57:47 2026 heaviest cycle: 25 relations
  155. Fri Jul 10 16:57:52 2026 RelProcTime: 902
  156. Fri Jul 10 16:57:53 2026
  157. Fri Jul 10 16:57:53 2026 commencing linear algebra
  158. Fri Jul 10 16:57:53 2026 using VBITS=256
  159. Fri Jul 10 16:57:53 2026 read 7047257 cycles
  160. Fri Jul 10 16:57:59 2026 cycles contain 21230296 unique relations
  161. Fri Jul 10 16:58:21 2026 read 21230296 relations
  162. Fri Jul 10 16:58:37 2026 using 20 quadratic characters above 4294917295
  163. Fri Jul 10 16:59:07 2026 building initial matrix
  164. Fri Jul 10 17:03:56 2026 memory use: 2664.8 MB
  165. Fri Jul 10 17:04:18 2026 read 7047257 cycles
  166. Fri Jul 10 17:04:19 2026 matrix is 7047080 x 7047257 (2605.4 MB) with weight 753459745 (106.92/col)
  167. Fri Jul 10 17:04:19 2026 sparse part has weight 605461693 (85.91/col)
  168. Fri Jul 10 17:06:21 2026 filtering completed in 2 passes
  169. Fri Jul 10 17:06:25 2026 matrix is 7046369 x 7046528 (2605.3 MB) with weight 753434335 (106.92/col)
  170. Fri Jul 10 17:06:25 2026 sparse part has weight 605451439 (85.92/col)
  171. Fri Jul 10 17:06:55 2026 matrix starts at (0, 0)
  172. Fri Jul 10 17:06:56 2026 matrix is 7046369 x 7046528 (2605.3 MB) with weight 753434335 (106.92/col)
  173. Fri Jul 10 17:06:56 2026 sparse part has weight 605451439 (85.92/col)
  174. Fri Jul 10 17:06:56 2026 saving the first 240 matrix rows for later
  175. Fri Jul 10 17:06:58 2026 matrix includes 256 packed rows
  176. Fri Jul 10 17:07:01 2026 matrix is 7046129 x 7046528 (2414.6 MB) with weight 549543140 (77.99/col)
  177. Fri Jul 10 17:07:01 2026 sparse part has weight 520232583 (73.83/col)
  178. Fri Jul 10 17:07:02 2026 using GPU 0 (NVIDIA GeForce RTX 3080)
  179. Fri Jul 10 17:07:02 2026 selected card has CUDA arch 8.6
  180. Fri Jul 10 17:08:26 2026 commencing Lanczos iteration
  181. Fri Jul 10 17:08:27 2026 memory use: 5958.2 MB
  182. Fri Jul 10 17:08:56 2026 linear algebra at 0.4%, ETA 1h46m
  183. Fri Jul 10 17:09:36 2026 checking every 60000 dimensions, checkpointing every 4080000 dimensions
  184. Fri Jul 10 18:53:10 2026 lanczos halted after 27608 iterations (dim = 7046129)
  185. Fri Jul 10 18:53:53 2026 recovered 38 nontrivial dependencies
  186. Fri Jul 10 18:53:53 2026 BLanczosTime: 6960
  187. Fri Jul 10 18:53:53 2026
  188. Fri Jul 10 18:53:53 2026 commencing square root phase
  189. Fri Jul 10 18:53:53 2026 handling dependencies 1 to 64
  190. Fri Jul 10 18:53:53 2026 reading relations for dependency 1
  191. Fri Jul 10 18:53:55 2026 read 3523431 cycles
  192. Fri Jul 10 18:54:04 2026 cycles contain 10615404 unique relations
  193. Fri Jul 10 18:57:31 2026 read 10615404 relations
  194. Fri Jul 10 18:59:33 2026 multiplying 10615404 relations
  195. Fri Jul 10 19:01:25 2026 multiply complete, coefficients have about 270.86 million bits
  196. Fri Jul 10 19:01:26 2026 initial square root is modulo 72493
  197. Fri Jul 10 19:04:33 2026 GCD is N, no factor found
  198. Fri Jul 10 19:04:33 2026 reading relations for dependency 2
  199. Fri Jul 10 19:04:39 2026 read 3524549 cycles
  200. Fri Jul 10 19:04:49 2026 cycles contain 10621306 unique relations
  201. Fri Jul 10 19:07:25 2026 read 10621306 relations
  202. Fri Jul 10 19:44:37 2026
  203. Fri Jul 10 19:44:37 2026
  204. Fri Jul 10 19:44:37 2026 Msieve v. 1.54 (SVN Unversioned directory)
  205. Fri Jul 10 19:44:37 2026 random seeds: 931cd3eb f8ef647e
  206. Fri Jul 10 19:44:37 2026 Using 2 OpenMP threads
  207. Fri Jul 10 19:44:37 2026 factoring 22388038870970186689764117766531831324785302148466585954781545420201769885863742572594405935997968925562485943765593350273681718014488988082472150290185803211329929418104081096500652236700768291 (194 digits)
  208. Fri Jul 10 19:44:37 2026 no P-1/P+1/ECM available, skipping
  209. Fri Jul 10 19:44:37 2026 commencing number field sieve (194-digit input)
  210. Fri Jul 10 19:44:37 2026 R0: 279078490021828554466220167808251320188667868911072727
  211. Fri Jul 10 19:44:37 2026 R1: -1
  212. Fri Jul 10 19:44:37 2026 A0: 1
  213. Fri Jul 10 19:44:37 2026 A1: 1
  214. Fri Jul 10 19:44:37 2026 A2: 1
  215. Fri Jul 10 19:44:37 2026 A3: 1
  216. Fri Jul 10 19:44:37 2026 A4: 1
  217. Fri Jul 10 19:44:37 2026 skew 1.94, size 8.565e-22, alpha 1.694, combined = 5.327e-13 rroots = 0
  218. Fri Jul 10 19:44:37 2026
  219. Fri Jul 10 19:44:37 2026 commencing linear algebra
  220. Fri Jul 10 19:44:37 2026 using VBITS=256
  221. Fri Jul 10 19:44:39 2026 matrix starts at (0, 0)
  222. Fri Jul 10 19:44:40 2026 matrix is 7046369 x 7046528 (2605.3 MB) with weight 753434335 (106.92/col)
  223. Fri Jul 10 19:44:40 2026 sparse part has weight 605451439 (85.92/col)
  224. Fri Jul 10 19:44:40 2026 saving the first 240 matrix rows for later
  225. Fri Jul 10 19:44:41 2026 matrix includes 256 packed rows
  226. Fri Jul 10 19:44:42 2026 matrix is 7046129 x 7046528 (2414.6 MB) with weight 549543140 (77.99/col)
  227. Fri Jul 10 19:44:42 2026 sparse part has weight 520232583 (73.83/col)
  228. Fri Jul 10 19:44:42 2026 using GPU 0 (NVIDIA GeForce RTX 3080)
  229. Fri Jul 10 19:44:42 2026 selected card has CUDA arch 8.6
  230. Fri Jul 10 19:45:07 2026 commencing Lanczos iteration
  231. Fri Jul 10 19:45:07 2026 memory use: 5743.2 MB
  232. Fri Jul 10 19:45:08 2026 restarting at iteration 15986 (dim = 4080237)
  233. Fri Jul 10 19:45:36 2026 linear algebra at 58.3%, ETA 0h44m
  234. Fri Jul 10 19:46:10 2026 checking every 60000 dimensions, checkpointing every 3900000 dimensions
  235. Fri Jul 10 20:31:59 2026 lanczos halted after 27608 iterations (dim = 7046129)
  236. Fri Jul 10 20:32:46 2026 recovered 38 nontrivial dependencies
  237. Fri Jul 10 20:32:46 2026 BLanczosTime: 2889
  238. Fri Jul 10 20:32:46 2026
  239. Fri Jul 10 20:32:46 2026 commencing square root phase
  240. Fri Jul 10 20:32:46 2026 reading relations for dependency 1
  241. Fri Jul 10 20:32:53 2026 read 3523431 cycles
  242. Fri Jul 10 20:33:03 2026 cycles contain 10615404 unique relations
  243. Fri Jul 10 20:34:28 2026 read 10615404 relations
  244. Fri Jul 10 20:35:51 2026 multiplying 10615404 relations
  245. Fri Jul 10 20:37:28 2026 multiply complete, coefficients have about 270.86 million bits
  246. Fri Jul 10 20:37:29 2026 initial square root is modulo 72493
  247. Fri Jul 10 20:40:32 2026 GCD is 1, no factor found
  248. Fri Jul 10 20:40:32 2026 reading relations for dependency 2
  249. Fri Jul 10 20:40:34 2026 read 3524549 cycles
  250. Fri Jul 10 20:40:45 2026 cycles contain 10621306 unique relations
  251. Fri Jul 10 20:42:29 2026 read 10621306 relations
  252. Fri Jul 10 20:43:53 2026 multiplying 10621306 relations
  253. Fri Jul 10 20:45:39 2026 multiply complete, coefficients have about 271.01 million bits
  254. Fri Jul 10 20:45:40 2026 initial square root is modulo 72923
  255. Fri Jul 10 20:48:47 2026 GCD is 1, no factor found
  256. Fri Jul 10 20:48:47 2026 reading relations for dependency 3
  257. Fri Jul 10 20:48:50 2026 read 3522543 cycles
  258. Fri Jul 10 20:49:01 2026 cycles contain 10611650 unique relations
  259. Fri Jul 10 20:50:48 2026 read 10611650 relations
  260. Fri Jul 10 20:52:17 2026 multiplying 10611650 relations
  261. Fri Jul 10 20:53:59 2026 multiply complete, coefficients have about 270.76 million bits
  262. Fri Jul 10 20:54:00 2026 initial square root is modulo 72223
  263. Fri Jul 10 20:57:05 2026 GCD is N, no factor found
  264. Fri Jul 10 20:57:05 2026 reading relations for dependency 4
  265. Fri Jul 10 20:57:07 2026 read 3520596 cycles
  266. Fri Jul 10 20:57:17 2026 cycles contain 10608804 unique relations
  267. Fri Jul 10 20:58:44 2026 read 10608804 relations
  268. Fri Jul 10 21:00:21 2026 multiplying 10608804 relations
  269. Fri Jul 10 21:02:04 2026 multiply complete, coefficients have about 270.69 million bits
  270. Fri Jul 10 21:02:05 2026 initial square root is modulo 71963
  271. Fri Jul 10 21:05:14 2026 GCD is N, no factor found
  272. Fri Jul 10 21:05:14 2026 reading relations for dependency 5
  273. Fri Jul 10 21:05:17 2026 read 3524949 cycles
  274. Fri Jul 10 21:05:28 2026 cycles contain 10618684 unique relations
  275. Fri Jul 10 21:06:35 2026 read 10618684 relations
  276. Fri Jul 10 21:08:10 2026 multiplying 10618684 relations
  277. Fri Jul 10 21:09:57 2026 multiply complete, coefficients have about 270.94 million bits
  278. Fri Jul 10 21:09:58 2026 initial square root is modulo 72727
  279. Fri Jul 10 21:12:56 2026 sqrtTime: 2410
  280. Fri Jul 10 21:12:56 2026 p57 factor: 354218367835859117116244339210697432466964656977635424511
  281. Fri Jul 10 21:12:56 2026 p137 factor: 63204059709700195028711546904956636309878157061191247666367560444890712825603646709541607914267268671767963145033774925279639290251893981
  282. Fri Jul 10 21:12:56 2026 elapsed time 01:28:19
  283.  
Tags: math
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