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gchilders

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gchilders
Jul 4th, 2025
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  1. Sun Jun 29 15:52:35 2025
  2. Sun Jun 29 15:52:35 2025
  3. Sun Jun 29 15:52:35 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Jun 29 15:52:35 2025 random seeds: 17d673f3 602865a2
  5. Sun Jun 29 15:52:35 2025 MPI process 0 of 1
  6. Sun Jun 29 15:52:35 2025 Using 64 OpenMP threads
  7. Sun Jun 29 15:52:35 2025 factoring 22321263324792452748034165418814757195065682372454843487534325904828380135314931076345243820564077998372226770970375273995104451715332505406511006345297816289220351687440550340797182004288220339336000302352302971803567267820233413275132817233508906050702426558807782833278964162922329613912458354346575119269542079681 (317 digits)
  8. Sun Jun 29 15:52:36 2025 no P-1/P+1/ECM available, skipping
  9. Sun Jun 29 15:52:36 2025 commencing number field sieve (317-digit input)
  10. Sun Jun 29 15:52:36 2025 R0: -16543612251060553497428173841399257071316242218017578125
  11. Sun Jun 29 15:52:36 2025 R1: 1
  12. Sun Jun 29 15:52:36 2025 A0: 25
  13. Sun Jun 29 15:52:36 2025 A1: 0
  14. Sun Jun 29 15:52:36 2025 A2: 0
  15. Sun Jun 29 15:52:36 2025 A3: 0
  16. Sun Jun 29 15:52:36 2025 A4: 0
  17. Sun Jun 29 15:52:36 2025 A5: 0
  18. Sun Jun 29 15:52:36 2025 A6: 1
  19. Sun Jun 29 15:52:36 2025 skew 2.38, size 3.054e-16, alpha 1.376, combined = 2.062e-16 rroots = 0
  20. Sun Jun 29 15:52:36 2025
  21. Sun Jun 29 15:52:36 2025 commencing relation filtering
  22. Sun Jun 29 15:52:36 2025 setting target matrix density to 90.0
  23. Sun Jun 29 15:52:36 2025 estimated available RAM is 1031760.2 MB
  24. Sun Jun 29 15:52:36 2025 commencing duplicate removal, pass 1
  25. Sun Jun 29 16:07:20 2025 skipped 2031517 relations with b > 2^32
  26. Sun Jun 29 16:07:20 2025 skipped 14 relations with composite factors
  27. Sun Jun 29 16:07:20 2025 skipped 17130 malformed relations
  28. Sun Jun 29 16:07:20 2025 found 60753015 hash collisions in 2084420859 relations
  29. Sun Jun 29 16:07:28 2025 added 1218313 free relations
  30. Sun Jun 29 16:07:28 2025 commencing duplicate removal, pass 2
  31. Sun Jun 29 16:13:07 2025 found 130 duplicates and 2085639042 unique relations
  32. Sun Jun 29 16:13:07 2025 memory use: 6483.0 MB
  33. Sun Jun 29 16:13:07 2025 reading ideals above 720000
  34. Sun Jun 29 16:13:07 2025 commencing singleton removal, initial pass
  35. Sun Jun 29 19:12:08 2025 memory use: 41024.0 MB
  36. Sun Jun 29 19:12:09 2025 reading all ideals from disk
  37. Sun Jun 29 19:12:45 2025 memory use: 115852.2 MB
  38. Sun Jun 29 19:15:47 2025 keeping 2232658550 ideals with weight <= 200, target excess is 12382537
  39. Sun Jun 29 19:19:56 2025 commencing in-memory singleton removal
  40. Sun Jun 29 19:20:02 2025 begin with 2085639042 relations and 2232658550 unique ideals
  41. Sun Jun 29 19:21:11 2025 reduce to 893475893 relations and 853481681 ideals in 24 passes
  42. Sun Jun 29 19:21:11 2025 max relations containing the same ideal: 120
  43. Sun Jun 29 19:24:36 2025 removing 32326524 relations and 30326524 ideals in 2000000 cliques
  44. Sun Jun 29 19:24:55 2025 commencing in-memory singleton removal
  45. Sun Jun 29 19:24:57 2025 begin with 861149369 relations and 853481681 unique ideals
  46. Sun Jun 29 19:25:18 2025 reduce to 860114260 relations and 822115675 ideals in 12 passes
  47. Sun Jun 29 19:25:18 2025 max relations containing the same ideal: 118
  48. Sun Jun 29 19:29:07 2025 removing 23145409 relations and 21145409 ideals in 2000000 cliques
  49. Sun Jun 29 19:29:24 2025 commencing in-memory singleton removal
  50. Sun Jun 29 19:29:26 2025 begin with 836968851 relations and 822115675 unique ideals
  51. Sun Jun 29 19:29:44 2025 reduce to 836411492 relations and 800411079 ideals in 10 passes
  52. Sun Jun 29 19:29:44 2025 max relations containing the same ideal: 115
  53. Sun Jun 29 19:32:46 2025 removing 20206682 relations and 18206682 ideals in 2000000 cliques
  54. Sun Jun 29 19:33:01 2025 commencing in-memory singleton removal
  55. Sun Jun 29 19:33:04 2025 begin with 816204810 relations and 800411079 unique ideals
  56. Sun Jun 29 19:33:20 2025 reduce to 815768315 relations and 781766580 ideals in 10 passes
  57. Sun Jun 29 19:33:20 2025 max relations containing the same ideal: 114
  58. Sun Jun 29 19:36:14 2025 removing 18516459 relations and 16516459 ideals in 2000000 cliques
  59. Sun Jun 29 19:36:29 2025 commencing in-memory singleton removal
  60. Sun Jun 29 19:36:32 2025 begin with 797251856 relations and 781766580 unique ideals
  61. Sun Jun 29 19:36:47 2025 reduce to 796876437 relations and 764873608 ideals in 9 passes
  62. Sun Jun 29 19:36:47 2025 max relations containing the same ideal: 113
  63. Sun Jun 29 19:39:36 2025 removing 17360488 relations and 15360488 ideals in 2000000 cliques
  64. Sun Jun 29 19:39:50 2025 commencing in-memory singleton removal
  65. Sun Jun 29 19:39:52 2025 begin with 779515949 relations and 764873608 unique ideals
  66. Sun Jun 29 19:40:08 2025 reduce to 779180994 relations and 749177192 ideals in 9 passes
  67. Sun Jun 29 19:40:08 2025 max relations containing the same ideal: 112
  68. Sun Jun 29 19:42:50 2025 removing 16495293 relations and 14495293 ideals in 2000000 cliques
  69. Sun Jun 29 19:43:05 2025 commencing in-memory singleton removal
  70. Sun Jun 29 19:43:07 2025 begin with 762685701 relations and 749177192 unique ideals
  71. Sun Jun 29 19:43:22 2025 reduce to 762375998 relations and 734371278 ideals in 10 passes
  72. Sun Jun 29 19:43:22 2025 max relations containing the same ideal: 109
  73. Sun Jun 29 19:46:03 2025 removing 15817524 relations and 13817524 ideals in 2000000 cliques
  74. Sun Jun 29 19:46:16 2025 commencing in-memory singleton removal
  75. Sun Jun 29 19:46:18 2025 begin with 746558474 relations and 734371278 unique ideals
  76. Sun Jun 29 19:46:32 2025 reduce to 746269364 relations and 720263822 ideals in 9 passes
  77. Sun Jun 29 19:46:32 2025 max relations containing the same ideal: 106
  78. Sun Jun 29 19:49:09 2025 removing 15271920 relations and 13271920 ideals in 2000000 cliques
  79. Sun Jun 29 19:49:22 2025 commencing in-memory singleton removal
  80. Sun Jun 29 19:49:24 2025 begin with 730997444 relations and 720263822 unique ideals
  81. Sun Jun 29 19:49:36 2025 reduce to 730721873 relations and 706715556 ideals in 8 passes
  82. Sun Jun 29 19:49:36 2025 max relations containing the same ideal: 105
  83. Sun Jun 29 19:52:11 2025 removing 14814295 relations and 12814295 ideals in 2000000 cliques
  84. Sun Jun 29 19:52:24 2025 commencing in-memory singleton removal
  85. Sun Jun 29 19:52:26 2025 begin with 715907578 relations and 706715556 unique ideals
  86. Sun Jun 29 19:52:39 2025 reduce to 715642443 relations and 693635429 ideals in 9 passes
  87. Sun Jun 29 19:52:39 2025 max relations containing the same ideal: 103
  88. Sun Jun 29 19:55:10 2025 removing 14431720 relations and 12431720 ideals in 2000000 cliques
  89. Sun Jun 29 19:55:23 2025 commencing in-memory singleton removal
  90. Sun Jun 29 19:55:25 2025 begin with 701210723 relations and 693635429 unique ideals
  91. Sun Jun 29 19:55:36 2025 reduce to 700955075 relations and 680947337 ideals in 8 passes
  92. Sun Jun 29 19:55:36 2025 max relations containing the same ideal: 102
  93. Sun Jun 29 19:58:02 2025 removing 14102650 relations and 12102650 ideals in 2000000 cliques
  94. Sun Jun 29 19:58:15 2025 commencing in-memory singleton removal
  95. Sun Jun 29 19:58:17 2025 begin with 686852425 relations and 680947337 unique ideals
  96. Sun Jun 29 19:58:30 2025 reduce to 686603523 relations and 668595090 ideals in 10 passes
  97. Sun Jun 29 19:58:30 2025 max relations containing the same ideal: 101
  98. Sun Jun 29 20:00:50 2025 removing 13814297 relations and 11814297 ideals in 2000000 cliques
  99. Sun Jun 29 20:01:02 2025 commencing in-memory singleton removal
  100. Sun Jun 29 20:01:04 2025 begin with 672789226 relations and 668595090 unique ideals
  101. Sun Jun 29 20:01:15 2025 reduce to 672544384 relations and 656535247 ideals in 8 passes
  102. Sun Jun 29 20:01:15 2025 max relations containing the same ideal: 98
  103. Sun Jun 29 20:03:31 2025 removing 11435654 relations and 9790260 ideals in 1645394 cliques
  104. Sun Jun 29 20:03:43 2025 commencing in-memory singleton removal
  105. Sun Jun 29 20:03:45 2025 begin with 661108730 relations and 656535247 unique ideals
  106. Sun Jun 29 20:03:56 2025 reduce to 660940591 relations and 646576454 ideals in 8 passes
  107. Sun Jun 29 20:03:56 2025 max relations containing the same ideal: 97
  108. Sun Jun 29 20:07:06 2025 relations with 0 large ideals: 499402
  109. Sun Jun 29 20:07:06 2025 relations with 1 large ideals: 741221
  110. Sun Jun 29 20:07:06 2025 relations with 2 large ideals: 6876122
  111. Sun Jun 29 20:07:06 2025 relations with 3 large ideals: 34630441
  112. Sun Jun 29 20:07:06 2025 relations with 4 large ideals: 101733814
  113. Sun Jun 29 20:07:06 2025 relations with 5 large ideals: 179193353
  114. Sun Jun 29 20:07:06 2025 relations with 6 large ideals: 186843377
  115. Sun Jun 29 20:07:06 2025 relations with 7+ large ideals: 150422861
  116. Sun Jun 29 20:07:06 2025 commencing 2-way merge
  117. Sun Jun 29 20:11:03 2025 reduce to 403021478 relation sets and 388657341 unique ideals
  118. Sun Jun 29 20:11:03 2025 commencing full merge
  119. Sun Jun 29 21:04:34 2025 memory use: 41513.2 MB
  120. Sun Jun 29 21:05:01 2025 found 205394737 cycles, need 203465541
  121. Sun Jun 29 21:05:56 2025 weight of 203465541 cycles is about 18312340449 (90.00/cycle)
  122. Sun Jun 29 21:05:57 2025 distribution of cycle lengths:
  123. Sun Jun 29 21:05:57 2025 1 relations: 22520218
  124. Sun Jun 29 21:05:57 2025 2 relations: 25797164
  125. Sun Jun 29 21:05:57 2025 3 relations: 26065708
  126. Sun Jun 29 21:05:57 2025 4 relations: 22613125
  127. Sun Jun 29 21:05:57 2025 5 relations: 19241978
  128. Sun Jun 29 21:05:57 2025 6 relations: 16217372
  129. Sun Jun 29 21:05:57 2025 7 relations: 13716068
  130. Sun Jun 29 21:05:57 2025 8 relations: 11387065
  131. Sun Jun 29 21:05:57 2025 9 relations: 9446526
  132. Sun Jun 29 21:05:57 2025 10+ relations: 36460317
  133. Sun Jun 29 21:05:57 2025 heaviest cycle: 21 relations
  134. Sun Jun 29 21:06:17 2025 commencing cycle optimization
  135. Sun Jun 29 21:09:59 2025 start with 1171992587 relations
  136. Sun Jun 29 21:25:58 2025 pruned 24251456 relations
  137. Sun Jun 29 21:26:14 2025 memory use: 39067.0 MB
  138. Sun Jun 29 21:26:15 2025 distribution of cycle lengths:
  139. Sun Jun 29 21:26:15 2025 1 relations: 22520218
  140. Sun Jun 29 21:26:15 2025 2 relations: 26352901
  141. Sun Jun 29 21:26:15 2025 3 relations: 26947490
  142. Sun Jun 29 21:26:15 2025 4 relations: 23026702
  143. Sun Jun 29 21:26:15 2025 5 relations: 19536945
  144. Sun Jun 29 21:26:15 2025 6 relations: 16291132
  145. Sun Jun 29 21:26:15 2025 7 relations: 13695804
  146. Sun Jun 29 21:26:15 2025 8 relations: 11278024
  147. Sun Jun 29 21:26:15 2025 9 relations: 9319096
  148. Sun Jun 29 21:26:15 2025 10+ relations: 34497229
  149. Sun Jun 29 21:26:15 2025 heaviest cycle: 21 relations
  150. Sun Jun 29 21:29:16 2025 RelProcTime: 20200
  151. Sun Jun 29 21:29:16 2025 elapsed time 05:36:41
  152. Sun Jun 29 21:29:24 2025
  153. Sun Jun 29 21:29:24 2025
  154. Sun Jun 29 21:29:24 2025 Msieve v. 1.54 (SVN unknown)
  155. Sun Jun 29 21:29:24 2025 random seeds: 8d70eedd fb4ee04b
  156. Sun Jun 29 21:29:24 2025 MPI process 0 of 4
  157. Sun Jun 29 21:29:24 2025 Using 10 OpenMP threads
  158. Sun Jun 29 21:29:24 2025 factoring 22321263324792452748034165418814757195065682372454843487534325904828380135314931076345243820564077998372226770970375273995104451715332505406511006345297816289220351687440550340797182004288220339336000302352302971803567267820233413275132817233508906050702426558807782833278964162922329613912458354346575119269542079681 (317 digits)
  159. Sun Jun 29 21:29:25 2025 no P-1/P+1/ECM available, skipping
  160. Sun Jun 29 21:29:25 2025 commencing number field sieve (317-digit input)
  161. Sun Jun 29 21:29:25 2025 R0: -16543612251060553497428173841399257071316242218017578125
  162. Sun Jun 29 21:29:25 2025 R1: 1
  163. Sun Jun 29 21:29:25 2025 A0: 25
  164. Sun Jun 29 21:29:25 2025 A1: 0
  165. Sun Jun 29 21:29:25 2025 A2: 0
  166. Sun Jun 29 21:29:25 2025 A3: 0
  167. Sun Jun 29 21:29:25 2025 A4: 0
  168. Sun Jun 29 21:29:25 2025 A5: 0
  169. Sun Jun 29 21:29:25 2025 A6: 1
  170. Sun Jun 29 21:29:25 2025 skew 2.38, size 3.054e-16, alpha 1.376, combined = 2.062e-16 rroots = 0
  171. Sun Jun 29 21:29:25 2025
  172. Sun Jun 29 21:29:25 2025 commencing linear algebra
  173. Sun Jun 29 21:29:25 2025 using VBITS=256
  174. Sun Jun 29 21:29:25 2025 initialized process (0,0) of 2 x 2 grid
  175. Sun Jun 29 21:29:39 2025 read 203465541 cycles
  176. Sun Jun 29 21:33:14 2025 cycles contain 649291253 unique relations
  177. Sun Jun 29 21:38:22 2025 read 649291253 relations
  178. Sun Jun 29 21:41:06 2025 using 20 quadratic characters above 4294917295
  179. Sun Jun 29 21:44:30 2025 building initial matrix
  180. Sun Jun 29 23:08:23 2025 memory use: 88519.5 MB
  181. Sun Jun 29 23:10:02 2025 read 203465541 cycles
  182. Sun Jun 29 23:10:18 2025 matrix is 203465310 x 203465541 (76330.3 MB) with weight 21858295299 (107.43/col)
  183. Sun Jun 29 23:10:18 2025 sparse part has weight 17771419073 (87.34/col)
  184. Sun Jun 29 23:50:12 2025 filtering completed in 3 passes
  185. Sun Jun 29 23:50:43 2025 matrix is 203230722 x 203230922 (76313.1 MB) with weight 21851594924 (107.52/col)
  186. Sun Jun 29 23:50:43 2025 sparse part has weight 17769476858 (87.43/col)
  187. Sun Jun 29 23:56:28 2025 matrix starts at (0, 0)
  188. Sun Jun 29 23:56:33 2025 matrix is 101615481 x 101615558 (22511.4 MB) with weight 6824502584 (67.16/col)
  189. Sun Jun 29 23:56:33 2025 sparse part has weight 4783454956 (47.07/col)
  190. Sun Jun 29 23:56:33 2025 saving the first 240 matrix rows for later
  191. Sun Jun 29 23:56:43 2025 matrix includes 256 packed rows
  192. Sun Jun 29 23:57:03 2025 matrix is 101615241 x 101615558 (20840.1 MB) with weight 4102182735 (40.37/col)
  193. Sun Jun 29 23:57:03 2025 sparse part has weight 3837255095 (37.76/col)
  194. Sun Jun 29 23:57:03 2025 using GPU 0 (NVIDIA H200)
  195. Sun Jun 29 23:57:03 2025 selected card has CUDA arch 9.0
  196. Mon Jun 30 00:03:37 2025 commencing Lanczos iteration
  197. Mon Jun 30 00:03:41 2025 memory use: 50208.1 MB
  198. Mon Jun 30 00:04:34 2025 linear algebra at 0.0%, ETA 92h10m
  199. Mon Jun 30 00:05:49 2025 checking every 30000 dimensions, checkpointing every 2220000 dimensions
  200. Thu Jul 3 20:38:18 2025 lanczos halted after 796248 iterations (dim = 203230478)
  201. Thu Jul 3 20:50:41 2025 recovered 36 nontrivial dependencies
  202. Thu Jul 3 20:50:43 2025 BLanczosTime: 343278
  203. Thu Jul 3 20:50:43 2025 elapsed time 95:21:19
  204. Thu Jul 3 20:50:48 2025
  205. Thu Jul 3 20:50:48 2025
  206. Thu Jul 3 20:50:48 2025 Msieve v. 1.54 (SVN Unversioned directory)
  207. Thu Jul 3 20:50:48 2025 random seeds: 08f66a96 07690928
  208. Thu Jul 3 20:50:48 2025 MPI process 0 of 1
  209. Thu Jul 3 20:50:48 2025 Using 64 OpenMP threads
  210. Thu Jul 3 20:50:48 2025 factoring 22321263324792452748034165418814757195065682372454843487534325904828380135314931076345243820564077998372226770970375273995104451715332505406511006345297816289220351687440550340797182004288220339336000302352302971803567267820233413275132817233508906050702426558807782833278964162922329613912458354346575119269542079681 (317 digits)
  211. Thu Jul 3 20:50:49 2025 no P-1/P+1/ECM available, skipping
  212. Thu Jul 3 20:50:49 2025 commencing number field sieve (317-digit input)
  213. Thu Jul 3 20:50:49 2025 R0: -16543612251060553497428173841399257071316242218017578125
  214. Thu Jul 3 20:50:49 2025 R1: 1
  215. Thu Jul 3 20:50:49 2025 A0: 25
  216. Thu Jul 3 20:50:49 2025 A1: 0
  217. Thu Jul 3 20:50:49 2025 A2: 0
  218. Thu Jul 3 20:50:49 2025 A3: 0
  219. Thu Jul 3 20:50:49 2025 A4: 0
  220. Thu Jul 3 20:50:49 2025 A5: 0
  221. Thu Jul 3 20:50:49 2025 A6: 1
  222. Thu Jul 3 20:50:49 2025 skew 2.38, size 3.054e-16, alpha 1.376, combined = 2.062e-16 rroots = 0
  223. Thu Jul 3 20:50:49 2025
  224. Thu Jul 3 20:50:49 2025 commencing square root phase
  225. Thu Jul 3 20:50:49 2025 reading relations for dependency 1
  226. Thu Jul 3 20:51:02 2025 read 101614133 cycles
  227. Thu Jul 3 20:52:44 2025 cycles contain 324636156 unique relations
  228. Thu Jul 3 20:54:40 2025 read 324636156 relations
  229. Thu Jul 3 21:10:28 2025 multiplying 324636156 relations
  230. Thu Jul 3 21:28:57 2025 multiply complete, coefficients have about 9612.58 million bits
  231. Thu Jul 3 21:29:16 2025 initial square root is modulo 245419
  232. Thu Jul 3 22:25:34 2025 GCD is 1, no factor found
  233. Thu Jul 3 22:25:34 2025 reading relations for dependency 2
  234. Thu Jul 3 22:25:48 2025 read 101612579 cycles
  235. Thu Jul 3 22:27:25 2025 cycles contain 324620192 unique relations
  236. Thu Jul 3 22:29:16 2025 read 324620192 relations
  237. Thu Jul 3 22:44:14 2025 multiplying 324620192 relations
  238. Thu Jul 3 23:02:25 2025 multiply complete, coefficients have about 9612.13 million bits
  239. Thu Jul 3 23:02:44 2025 initial square root is modulo 245383
  240. Thu Jul 3 23:59:21 2025 found factor: 1232394979130053591855108892464590648107469647952043655401777347856287922626492961
  241. Thu Jul 3 23:59:21 2025 reading relations for dependency 3
  242. Thu Jul 3 23:59:34 2025 read 101614430 cycles
  243. Fri Jul 4 00:01:09 2025 cycles contain 324640858 unique relations
  244. Fri Jul 4 00:03:41 2025 read 324640858 relations
  245. Fri Jul 4 00:18:27 2025 multiplying 324640858 relations
  246. Fri Jul 4 00:36:46 2025 multiply complete, coefficients have about 9612.74 million bits
  247. Fri Jul 4 00:37:05 2025 initial square root is modulo 245527
  248. Fri Jul 4 01:33:09 2025 found factor: 1232394979130053591855108892464590648107469647952043655401777347856287922626492961
  249. Fri Jul 4 01:33:09 2025 reading relations for dependency 4
  250. Fri Jul 4 01:33:23 2025 read 101612901 cycles
  251. Fri Jul 4 01:34:57 2025 cycles contain 324625534 unique relations
  252. Fri Jul 4 01:37:29 2025 read 324625534 relations
  253. Fri Jul 4 01:51:49 2025 multiplying 324625534 relations
  254. Fri Jul 4 02:10:37 2025 multiply complete, coefficients have about 9612.31 million bits
  255. Fri Jul 4 02:10:56 2025 initial square root is modulo 245383
  256. Fri Jul 4 03:07:30 2025 sqrtTime: 22601
  257. Fri Jul 4 03:07:30 2025 p82 factor: 1232394979130053591855108892464590648107469647952043655401777347856287922626492961
  258. Fri Jul 4 03:07:30 2025 p100 factor: 5739768310358196195933153060590023979300515019855628195990303416779800265712484712829781834635088593
  259. Fri Jul 4 03:07:30 2025 p136 factor: 3155545803365475152529176964457956393544938032800676946730584804540893947801017297114458115745722344020588305980982488371101738718438097
  260. Fri Jul 4 03:07:30 2025 elapsed time 06:16:42
  261.  
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