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  1. Tue Sep 2 03:54:39 2025
  2. Tue Sep 2 03:54:39 2025
  3. Tue Sep 2 03:54:39 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Sep 2 03:54:39 2025 random seeds: 268241f6 4192f082
  5. Tue Sep 2 03:54:39 2025 MPI process 0 of 1
  6. Tue Sep 2 03:54:39 2025 Using 32 OpenMP threads
  7. Tue Sep 2 03:54:39 2025 factoring 5111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (265 digits)
  8. Tue Sep 2 03:54:41 2025 searching for 15-digit factors
  9. Tue Sep 2 03:54:42 2025 commencing number field sieve (265-digit input)
  10. Tue Sep 2 03:54:42 2025 R0: 100000000000000000000000000000000000000000000
  11. Tue Sep 2 03:54:42 2025 R1: -1
  12. Tue Sep 2 03:54:42 2025 A0: -1
  13. Tue Sep 2 03:54:42 2025 A1: 0
  14. Tue Sep 2 03:54:42 2025 A2: 0
  15. Tue Sep 2 03:54:42 2025 A3: 0
  16. Tue Sep 2 03:54:42 2025 A4: 0
  17. Tue Sep 2 03:54:42 2025 A5: 0
  18. Tue Sep 2 03:54:42 2025 A6: 46
  19. Tue Sep 2 03:54:42 2025 skew 0.69, size 5.037e-13, alpha 0.742, combined = 6.856e-14 rroots = 2
  20. Tue Sep 2 03:54:42 2025
  21. Tue Sep 2 03:54:42 2025 commencing relation filtering
  22. Tue Sep 2 03:54:42 2025 setting target matrix density to 130.0
  23. Tue Sep 2 03:54:42 2025 estimated available RAM is 257736.5 MB
  24. Tue Sep 2 03:54:42 2025 commencing duplicate removal, pass 1
  25. Tue Sep 2 03:55:29 2025 error -1 reading relation 19163592
  26. Tue Sep 2 03:55:29 2025 error -1 reading relation 19164543
  27. Tue Sep 2 03:55:29 2025 error -1 reading relation 19171223
  28. Tue Sep 2 03:56:12 2025 error -1 reading relation 37185613
  29. Tue Sep 2 03:56:53 2025 error -1 reading relation 52673238
  30. Tue Sep 2 03:57:16 2025 error -1 reading relation 62326873
  31. Tue Sep 2 03:57:16 2025 error -1 reading relation 62349034
  32. Tue Sep 2 03:57:18 2025 error -1 reading relation 63099049
  33. Tue Sep 2 03:58:23 2025 error -1 reading relation 89868310
  34. Tue Sep 2 03:58:29 2025 error -1 reading relation 92315760
  35. Tue Sep 2 04:00:25 2025 error -1 reading relation 139894564
  36. Tue Sep 2 04:00:46 2025 error -1 reading relation 148668500
  37. Tue Sep 2 04:00:46 2025 error -1 reading relation 148671288
  38. Tue Sep 2 04:00:46 2025 error -1 reading relation 148673287
  39. Tue Sep 2 04:00:46 2025 error -1 reading relation 148681374
  40. Tue Sep 2 04:00:46 2025 error -1 reading relation 148682326
  41. Tue Sep 2 04:00:46 2025 error -1 reading relation 148684746
  42. Tue Sep 2 04:01:38 2025 error -1 reading relation 170298617
  43. Tue Sep 2 04:02:19 2025 error -1 reading relation 187733714
  44. Tue Sep 2 04:02:20 2025 error -1 reading relation 188052766
  45. Tue Sep 2 04:04:09 2025 error -1 reading relation 233622488
  46. Tue Sep 2 04:04:21 2025 error -1 reading relation 238718475
  47. Tue Sep 2 04:04:22 2025 error -1 reading relation 239254136
  48. Tue Sep 2 04:05:01 2025 error -1 reading relation 255161492
  49. Tue Sep 2 04:05:01 2025 error -1 reading relation 255167378
  50. Tue Sep 2 04:05:02 2025 error -1 reading relation 255389750
  51. Tue Sep 2 04:05:20 2025 error -1 reading relation 262537689
  52. Tue Sep 2 04:05:20 2025 error -1 reading relation 262775976
  53. Tue Sep 2 04:05:48 2025 error -1 reading relation 272523866
  54. Tue Sep 2 04:06:54 2025 error -1 reading relation 299727227
  55. Tue Sep 2 04:07:11 2025 error -1 reading relation 306651019
  56. Tue Sep 2 04:07:13 2025 error -1 reading relation 307645624
  57. Tue Sep 2 04:09:36 2025 error -11 reading relation 365515543
  58. Tue Sep 2 04:09:50 2025 error -1 reading relation 371007212
  59. Tue Sep 2 04:10:09 2025 error -1 reading relation 378897283
  60. Tue Sep 2 04:11:27 2025 error -1 reading relation 410226869
  61. Tue Sep 2 04:11:31 2025 error -1 reading relation 412102475
  62. Tue Sep 2 04:11:42 2025 error -1 reading relation 416025449
  63. Tue Sep 2 04:12:00 2025 error -1 reading relation 423135596
  64. Tue Sep 2 04:12:15 2025 error -15 reading relation 429262167
  65. Tue Sep 2 04:12:51 2025 error -1 reading relation 443857553
  66. Tue Sep 2 04:12:55 2025 error -1 reading relation 445694142
  67. Tue Sep 2 04:12:57 2025 error -1 reading relation 446425993
  68. Tue Sep 2 04:12:58 2025 error -15 reading relation 446676926
  69. Tue Sep 2 04:13:31 2025 error -1 reading relation 460321042
  70. Tue Sep 2 04:13:33 2025 error -1 reading relation 461107197
  71. Tue Sep 2 04:13:54 2025 error -5 reading relation 469395030
  72. Tue Sep 2 04:13:59 2025 error -1 reading relation 471212761
  73. Tue Sep 2 04:14:38 2025 error -1 reading relation 486968958
  74. Tue Sep 2 04:15:20 2025 error -1 reading relation 503408675
  75. Tue Sep 2 04:15:20 2025 error -1 reading relation 503413321
  76. Tue Sep 2 04:15:20 2025 error -1 reading relation 503421397
  77. Tue Sep 2 04:15:20 2025 error -1 reading relation 503423625
  78. Tue Sep 2 04:15:49 2025 error -1 reading relation 514295331
  79. Tue Sep 2 04:15:49 2025 error -1 reading relation 514297408
  80. Tue Sep 2 04:15:49 2025 error -1 reading relation 514298501
  81. Tue Sep 2 04:15:49 2025 error -1 reading relation 514300743
  82. Tue Sep 2 04:15:49 2025 error -1 reading relation 514302828
  83. Tue Sep 2 04:15:49 2025 error -1 reading relation 514306082
  84. Tue Sep 2 04:16:25 2025 error -1 reading relation 526068554
  85. Tue Sep 2 04:16:25 2025 error -1 reading relation 526070792
  86. Tue Sep 2 04:16:25 2025 error -1 reading relation 526071307
  87. Tue Sep 2 04:16:38 2025 error -1 reading relation 531574457
  88. Tue Sep 2 04:16:42 2025 error -1 reading relation 533521257
  89. Tue Sep 2 04:16:50 2025 error -1 reading relation 536716082
  90. Tue Sep 2 04:17:58 2025 error -1 reading relation 562117884
  91. Tue Sep 2 04:17:58 2025 error -1 reading relation 562123231
  92. Tue Sep 2 04:17:59 2025 error -1 reading relation 562761155
  93. Tue Sep 2 04:17:59 2025 error -1 reading relation 562765944
  94. Tue Sep 2 04:17:59 2025 error -1 reading relation 562769189
  95. Tue Sep 2 04:18:46 2025 error -1 reading relation 580908555
  96. Tue Sep 2 04:18:46 2025 error -1 reading relation 580909613
  97. Tue Sep 2 04:18:46 2025 error -1 reading relation 580912157
  98. Tue Sep 2 04:18:46 2025 error -1 reading relation 580920783
  99. Tue Sep 2 04:18:53 2025 error -1 reading relation 583821441
  100. Tue Sep 2 04:18:55 2025 error -1 reading relation 584463194
  101. Tue Sep 2 04:18:56 2025 error -1 reading relation 584891926
  102. Tue Sep 2 04:18:57 2025 error -1 reading relation 585254813
  103. Tue Sep 2 04:19:02 2025 error -1 reading relation 587226966
  104. Tue Sep 2 04:19:05 2025 error -1 reading relation 588167606
  105. Tue Sep 2 04:19:11 2025 error -1 reading relation 591016424
  106. Tue Sep 2 04:19:23 2025 error -1 reading relation 595980755
  107. Tue Sep 2 04:19:42 2025 error -1 reading relation 604007716
  108. Tue Sep 2 04:19:50 2025 error -1 reading relation 607535074
  109. Tue Sep 2 04:19:50 2025 error -1 reading relation 607540104
  110. Tue Sep 2 04:19:50 2025 error -1 reading relation 607557105
  111. Tue Sep 2 04:19:53 2025 error -1 reading relation 608811481
  112. Tue Sep 2 04:20:03 2025 error -1 reading relation 612722965
  113. Tue Sep 2 04:21:30 2025 error -1 reading relation 644616059
  114. Tue Sep 2 04:21:40 2025 error -1 reading relation 648537718
  115. Tue Sep 2 04:22:03 2025 error -1 reading relation 657261931
  116. Tue Sep 2 04:22:58 2025 error -1 reading relation 678378110
  117. Tue Sep 2 04:23:04 2025 error -1 reading relation 680631966
  118. Tue Sep 2 04:23:05 2025 skipped 5201 relations with b > 2^32
  119. Tue Sep 2 04:23:05 2025 skipped 4 relations with composite factors
  120. Tue Sep 2 04:23:05 2025 skipped 995 malformed relations
  121. Tue Sep 2 04:23:05 2025 found 125428225 hash collisions in 680737066 relations
  122. Tue Sep 2 04:23:26 2025 added 1218396 free relations
  123. Tue Sep 2 04:23:26 2025 commencing duplicate removal, pass 2
  124. Tue Sep 2 04:46:54 2025 found 127821016 duplicates and 554134446 unique relations
  125. Tue Sep 2 04:46:54 2025 memory use: 3411.0 MB
  126. Tue Sep 2 04:46:55 2025 reading ideals above 720000
  127. Tue Sep 2 04:46:55 2025 commencing singleton removal, initial pass
  128. Tue Sep 2 06:18:36 2025 memory use: 11024.0 MB
  129. Tue Sep 2 06:18:38 2025 reading all ideals from disk
  130. Tue Sep 2 06:18:55 2025 memory use: 27398.5 MB
  131. Tue Sep 2 06:21:59 2025 keeping 477283273 ideals with weight <= 200, target excess is 2821457
  132. Tue Sep 2 06:25:40 2025 commencing in-memory singleton removal
  133. Tue Sep 2 06:25:55 2025 begin with 554134446 relations and 477283273 unique ideals
  134. Tue Sep 2 06:27:00 2025 reduce to 371376373 relations and 277508172 ideals in 13 passes
  135. Tue Sep 2 06:27:00 2025 max relations containing the same ideal: 167
  136. Tue Sep 2 06:32:21 2025 removing 12539188 relations and 10539188 ideals in 2000000 cliques
  137. Tue Sep 2 06:32:39 2025 commencing in-memory singleton removal
  138. Tue Sep 2 06:32:50 2025 begin with 358837185 relations and 277508172 unique ideals
  139. Tue Sep 2 06:33:25 2025 reduce to 358522799 relations and 266652272 ideals in 8 passes
  140. Tue Sep 2 06:33:25 2025 max relations containing the same ideal: 162
  141. Tue Sep 2 06:37:55 2025 removing 9494392 relations and 7494392 ideals in 2000000 cliques
  142. Tue Sep 2 06:38:12 2025 commencing in-memory singleton removal
  143. Tue Sep 2 06:38:22 2025 begin with 349028407 relations and 266652272 unique ideals
  144. Tue Sep 2 06:38:49 2025 reduce to 348826776 relations and 258954923 ideals in 6 passes
  145. Tue Sep 2 06:38:49 2025 max relations containing the same ideal: 158
  146. Tue Sep 2 06:43:12 2025 removing 8523962 relations and 6523962 ideals in 2000000 cliques
  147. Tue Sep 2 06:43:28 2025 commencing in-memory singleton removal
  148. Tue Sep 2 06:43:35 2025 begin with 340302814 relations and 258954923 unique ideals
  149. Tue Sep 2 06:43:59 2025 reduce to 340129896 relations and 252257005 ideals in 6 passes
  150. Tue Sep 2 06:43:59 2025 max relations containing the same ideal: 157
  151. Tue Sep 2 06:48:12 2025 removing 7971548 relations and 5971548 ideals in 2000000 cliques
  152. Tue Sep 2 06:48:28 2025 commencing in-memory singleton removal
  153. Tue Sep 2 06:48:36 2025 begin with 332158348 relations and 252257005 unique ideals
  154. Tue Sep 2 06:48:58 2025 reduce to 332000650 relations and 246126846 ideals in 6 passes
  155. Tue Sep 2 06:48:58 2025 max relations containing the same ideal: 156
  156. Tue Sep 2 06:53:02 2025 removing 7605885 relations and 5605885 ideals in 2000000 cliques
  157. Tue Sep 2 06:53:20 2025 commencing in-memory singleton removal
  158. Tue Sep 2 06:53:27 2025 begin with 324394765 relations and 246126846 unique ideals
  159. Tue Sep 2 06:53:50 2025 reduce to 324248055 relations and 240373404 ideals in 7 passes
  160. Tue Sep 2 06:53:50 2025 max relations containing the same ideal: 156
  161. Tue Sep 2 06:58:19 2025 removing 7339211 relations and 5339211 ideals in 2000000 cliques
  162. Tue Sep 2 06:58:36 2025 commencing in-memory singleton removal
  163. Tue Sep 2 06:58:44 2025 begin with 316908844 relations and 240373404 unique ideals
  164. Tue Sep 2 06:59:07 2025 reduce to 316768484 relations and 234892932 ideals in 6 passes
  165. Tue Sep 2 06:59:07 2025 max relations containing the same ideal: 149
  166. Tue Sep 2 07:03:10 2025 removing 7134205 relations and 5134205 ideals in 2000000 cliques
  167. Tue Sep 2 07:03:28 2025 commencing in-memory singleton removal
  168. Tue Sep 2 07:03:38 2025 begin with 309634279 relations and 234892932 unique ideals
  169. Tue Sep 2 07:04:02 2025 reduce to 309499735 relations and 229623286 ideals in 6 passes
  170. Tue Sep 2 07:04:02 2025 max relations containing the same ideal: 148
  171. Tue Sep 2 07:08:24 2025 removing 6971185 relations and 4971185 ideals in 2000000 cliques
  172. Tue Sep 2 07:08:42 2025 commencing in-memory singleton removal
  173. Tue Sep 2 07:08:49 2025 begin with 302528550 relations and 229623286 unique ideals
  174. Tue Sep 2 07:09:11 2025 reduce to 302396374 relations and 224519063 ideals in 6 passes
  175. Tue Sep 2 07:09:11 2025 max relations containing the same ideal: 145
  176. Tue Sep 2 07:12:56 2025 removing 6839198 relations and 4839198 ideals in 2000000 cliques
  177. Tue Sep 2 07:13:11 2025 commencing in-memory singleton removal
  178. Tue Sep 2 07:13:16 2025 begin with 295557176 relations and 224519063 unique ideals
  179. Tue Sep 2 07:13:36 2025 reduce to 295427761 relations and 219549551 ideals in 6 passes
  180. Tue Sep 2 07:13:36 2025 max relations containing the same ideal: 142
  181. Tue Sep 2 07:17:53 2025 removing 6733443 relations and 4733443 ideals in 2000000 cliques
  182. Tue Sep 2 07:18:09 2025 commencing in-memory singleton removal
  183. Tue Sep 2 07:18:16 2025 begin with 288694318 relations and 219549551 unique ideals
  184. Tue Sep 2 07:18:36 2025 reduce to 288566479 relations and 214687415 ideals in 6 passes
  185. Tue Sep 2 07:18:36 2025 max relations containing the same ideal: 140
  186. Tue Sep 2 07:22:30 2025 removing 6639965 relations and 4639965 ideals in 2000000 cliques
  187. Tue Sep 2 07:22:54 2025 commencing in-memory singleton removal
  188. Tue Sep 2 07:23:03 2025 begin with 281926514 relations and 214687415 unique ideals
  189. Tue Sep 2 07:23:28 2025 reduce to 281799810 relations and 209919827 ideals in 7 passes
  190. Tue Sep 2 07:23:28 2025 max relations containing the same ideal: 140
  191. Tue Sep 2 07:27:19 2025 removing 6566171 relations and 4566171 ideals in 2000000 cliques
  192. Tue Sep 2 07:27:32 2025 commencing in-memory singleton removal
  193. Tue Sep 2 07:27:38 2025 begin with 275233639 relations and 209919827 unique ideals
  194. Tue Sep 2 07:27:56 2025 reduce to 275107935 relations and 205227018 ideals in 6 passes
  195. Tue Sep 2 07:27:56 2025 max relations containing the same ideal: 137
  196. Tue Sep 2 07:31:36 2025 removing 6500314 relations and 4500314 ideals in 2000000 cliques
  197. Tue Sep 2 07:31:48 2025 commencing in-memory singleton removal
  198. Tue Sep 2 07:31:55 2025 begin with 268607621 relations and 205227018 unique ideals
  199. Tue Sep 2 07:32:14 2025 reduce to 268480641 relations and 200598798 ideals in 6 passes
  200. Tue Sep 2 07:32:14 2025 max relations containing the same ideal: 135
  201. Tue Sep 2 07:35:39 2025 removing 6443892 relations and 4443892 ideals in 2000000 cliques
  202. Tue Sep 2 07:35:53 2025 commencing in-memory singleton removal
  203. Tue Sep 2 07:36:01 2025 begin with 262036749 relations and 200598798 unique ideals
  204. Tue Sep 2 07:36:20 2025 reduce to 261910377 relations and 196027515 ideals in 6 passes
  205. Tue Sep 2 07:36:20 2025 max relations containing the same ideal: 133
  206. Tue Sep 2 07:39:49 2025 removing 6393834 relations and 4393834 ideals in 2000000 cliques
  207. Tue Sep 2 07:40:03 2025 commencing in-memory singleton removal
  208. Tue Sep 2 07:40:08 2025 begin with 255516543 relations and 196027515 unique ideals
  209. Tue Sep 2 07:40:23 2025 reduce to 255389343 relations and 191505382 ideals in 6 passes
  210. Tue Sep 2 07:40:23 2025 max relations containing the same ideal: 132
  211. Tue Sep 2 07:43:56 2025 removing 6349797 relations and 4349797 ideals in 2000000 cliques
  212. Tue Sep 2 07:44:10 2025 commencing in-memory singleton removal
  213. Tue Sep 2 07:44:15 2025 begin with 249039546 relations and 191505382 unique ideals
  214. Tue Sep 2 07:44:31 2025 reduce to 248911191 relations and 187026107 ideals in 6 passes
  215. Tue Sep 2 07:44:31 2025 max relations containing the same ideal: 129
  216. Tue Sep 2 07:48:11 2025 removing 6313608 relations and 4313608 ideals in 2000000 cliques
  217. Tue Sep 2 07:48:25 2025 commencing in-memory singleton removal
  218. Tue Sep 2 07:48:31 2025 begin with 242597583 relations and 187026107 unique ideals
  219. Tue Sep 2 07:48:48 2025 reduce to 242467602 relations and 182581375 ideals in 6 passes
  220. Tue Sep 2 07:48:48 2025 max relations containing the same ideal: 127
  221. Tue Sep 2 07:51:50 2025 removing 6281815 relations and 4281815 ideals in 2000000 cliques
  222. Tue Sep 2 07:52:01 2025 commencing in-memory singleton removal
  223. Tue Sep 2 07:52:06 2025 begin with 236185787 relations and 182581375 unique ideals
  224. Tue Sep 2 07:52:21 2025 reduce to 236054736 relations and 178167311 ideals in 6 passes
  225. Tue Sep 2 07:52:21 2025 max relations containing the same ideal: 124
  226. Tue Sep 2 07:55:30 2025 removing 6253313 relations and 4253313 ideals in 2000000 cliques
  227. Tue Sep 2 07:55:49 2025 commencing in-memory singleton removal
  228. Tue Sep 2 07:55:54 2025 begin with 229801423 relations and 178167311 unique ideals
  229. Tue Sep 2 07:56:10 2025 reduce to 229669451 relations and 173780681 ideals in 6 passes
  230. Tue Sep 2 07:56:10 2025 max relations containing the same ideal: 122
  231. Tue Sep 2 07:59:11 2025 removing 6231537 relations and 4231537 ideals in 2000000 cliques
  232. Tue Sep 2 07:59:22 2025 commencing in-memory singleton removal
  233. Tue Sep 2 07:59:27 2025 begin with 223437914 relations and 173780681 unique ideals
  234. Tue Sep 2 07:59:42 2025 reduce to 223302695 relations and 169412577 ideals in 6 passes
  235. Tue Sep 2 07:59:42 2025 max relations containing the same ideal: 122
  236. Tue Sep 2 08:02:40 2025 removing 6211253 relations and 4211253 ideals in 2000000 cliques
  237. Tue Sep 2 08:02:53 2025 commencing in-memory singleton removal
  238. Tue Sep 2 08:02:58 2025 begin with 217091442 relations and 169412577 unique ideals
  239. Tue Sep 2 08:03:14 2025 reduce to 216954276 relations and 165062707 ideals in 7 passes
  240. Tue Sep 2 08:03:14 2025 max relations containing the same ideal: 120
  241. Tue Sep 2 08:06:12 2025 removing 6195120 relations and 4195120 ideals in 2000000 cliques
  242. Tue Sep 2 08:06:25 2025 commencing in-memory singleton removal
  243. Tue Sep 2 08:06:30 2025 begin with 210759156 relations and 165062707 unique ideals
  244. Tue Sep 2 08:06:45 2025 reduce to 210618962 relations and 160725880 ideals in 6 passes
  245. Tue Sep 2 08:06:45 2025 max relations containing the same ideal: 120
  246. Tue Sep 2 08:09:21 2025 removing 6182345 relations and 4182345 ideals in 2000000 cliques
  247. Tue Sep 2 08:09:33 2025 commencing in-memory singleton removal
  248. Tue Sep 2 08:09:37 2025 begin with 204436617 relations and 160725880 unique ideals
  249. Tue Sep 2 08:09:49 2025 reduce to 204293864 relations and 156399230 ideals in 6 passes
  250. Tue Sep 2 08:09:49 2025 max relations containing the same ideal: 115
  251. Tue Sep 2 08:12:41 2025 removing 6173216 relations and 4173216 ideals in 2000000 cliques
  252. Tue Sep 2 08:12:52 2025 commencing in-memory singleton removal
  253. Tue Sep 2 08:12:56 2025 begin with 198120648 relations and 156399230 unique ideals
  254. Tue Sep 2 08:13:08 2025 reduce to 197973999 relations and 152077696 ideals in 6 passes
  255. Tue Sep 2 08:13:08 2025 max relations containing the same ideal: 114
  256. Tue Sep 2 08:15:32 2025 removing 6167309 relations and 4167309 ideals in 2000000 cliques
  257. Tue Sep 2 08:15:46 2025 commencing in-memory singleton removal
  258. Tue Sep 2 08:15:50 2025 begin with 191806690 relations and 152077696 unique ideals
  259. Tue Sep 2 08:16:03 2025 reduce to 191655966 relations and 147757866 ideals in 7 passes
  260. Tue Sep 2 08:16:03 2025 max relations containing the same ideal: 112
  261. Tue Sep 2 08:18:43 2025 removing 6163283 relations and 4163283 ideals in 2000000 cliques
  262. Tue Sep 2 08:18:54 2025 commencing in-memory singleton removal
  263. Tue Sep 2 08:18:59 2025 begin with 185492683 relations and 147757866 unique ideals
  264. Tue Sep 2 08:19:11 2025 reduce to 185338651 relations and 143438685 ideals in 6 passes
  265. Tue Sep 2 08:19:11 2025 max relations containing the same ideal: 109
  266. Tue Sep 2 08:21:39 2025 removing 6163643 relations and 4163643 ideals in 2000000 cliques
  267. Tue Sep 2 08:21:49 2025 commencing in-memory singleton removal
  268. Tue Sep 2 08:21:53 2025 begin with 179175008 relations and 143438685 unique ideals
  269. Tue Sep 2 08:22:04 2025 reduce to 179017438 relations and 139115548 ideals in 6 passes
  270. Tue Sep 2 08:22:04 2025 max relations containing the same ideal: 106
  271. Tue Sep 2 08:24:15 2025 removing 6166247 relations and 4166247 ideals in 2000000 cliques
  272. Tue Sep 2 08:24:23 2025 commencing in-memory singleton removal
  273. Tue Sep 2 08:24:26 2025 begin with 172851191 relations and 139115548 unique ideals
  274. Tue Sep 2 08:24:37 2025 reduce to 172687210 relations and 134783213 ideals in 7 passes
  275. Tue Sep 2 08:24:37 2025 max relations containing the same ideal: 103
  276. Tue Sep 2 08:26:38 2025 removing 6170939 relations and 4170939 ideals in 2000000 cliques
  277. Tue Sep 2 08:26:48 2025 commencing in-memory singleton removal
  278. Tue Sep 2 08:26:51 2025 begin with 166516271 relations and 134783213 unique ideals
  279. Tue Sep 2 08:27:01 2025 reduce to 166348461 relations and 130442301 ideals in 7 passes
  280. Tue Sep 2 08:27:01 2025 max relations containing the same ideal: 99
  281. Tue Sep 2 08:29:19 2025 removing 6180756 relations and 4180756 ideals in 2000000 cliques
  282. Tue Sep 2 08:29:27 2025 commencing in-memory singleton removal
  283. Tue Sep 2 08:29:31 2025 begin with 160167705 relations and 130442301 unique ideals
  284. Tue Sep 2 08:29:41 2025 reduce to 159992083 relations and 126083500 ideals in 6 passes
  285. Tue Sep 2 08:29:41 2025 max relations containing the same ideal: 98
  286. Tue Sep 2 08:31:56 2025 removing 6197294 relations and 4197294 ideals in 2000000 cliques
  287. Tue Sep 2 08:32:04 2025 commencing in-memory singleton removal
  288. Tue Sep 2 08:32:08 2025 begin with 153794789 relations and 126083500 unique ideals
  289. Tue Sep 2 08:32:18 2025 reduce to 153613680 relations and 121702628 ideals in 6 passes
  290. Tue Sep 2 08:32:18 2025 max relations containing the same ideal: 96
  291. Tue Sep 2 08:34:17 2025 removing 6212917 relations and 4212917 ideals in 2000000 cliques
  292. Tue Sep 2 08:34:25 2025 commencing in-memory singleton removal
  293. Tue Sep 2 08:34:29 2025 begin with 147400763 relations and 121702628 unique ideals
  294. Tue Sep 2 08:34:39 2025 reduce to 147211132 relations and 117297458 ideals in 6 passes
  295. Tue Sep 2 08:34:39 2025 max relations containing the same ideal: 92
  296. Tue Sep 2 08:36:32 2025 removing 6233320 relations and 4233320 ideals in 2000000 cliques
  297. Tue Sep 2 08:36:42 2025 commencing in-memory singleton removal
  298. Tue Sep 2 08:36:45 2025 begin with 140977812 relations and 117297458 unique ideals
  299. Tue Sep 2 08:36:53 2025 reduce to 140780198 relations and 112863604 ideals in 6 passes
  300. Tue Sep 2 08:36:53 2025 max relations containing the same ideal: 89
  301. Tue Sep 2 08:38:48 2025 removing 6256318 relations and 4256318 ideals in 2000000 cliques
  302. Tue Sep 2 08:38:56 2025 commencing in-memory singleton removal
  303. Tue Sep 2 08:39:00 2025 begin with 134523880 relations and 112863604 unique ideals
  304. Tue Sep 2 08:39:10 2025 reduce to 134316026 relations and 108396243 ideals in 7 passes
  305. Tue Sep 2 08:39:10 2025 max relations containing the same ideal: 87
  306. Tue Sep 2 08:41:03 2025 removing 6283554 relations and 4283554 ideals in 2000000 cliques
  307. Tue Sep 2 08:41:11 2025 commencing in-memory singleton removal
  308. Tue Sep 2 08:41:14 2025 begin with 128032472 relations and 108396243 unique ideals
  309. Tue Sep 2 08:41:21 2025 reduce to 127814260 relations and 103891175 ideals in 6 passes
  310. Tue Sep 2 08:41:21 2025 max relations containing the same ideal: 86
  311. Tue Sep 2 08:43:13 2025 removing 6319203 relations and 4319203 ideals in 2000000 cliques
  312. Tue Sep 2 08:43:22 2025 commencing in-memory singleton removal
  313. Tue Sep 2 08:43:25 2025 begin with 121495057 relations and 103891175 unique ideals
  314. Tue Sep 2 08:43:34 2025 reduce to 121265925 relations and 99339231 ideals in 7 passes
  315. Tue Sep 2 08:43:34 2025 max relations containing the same ideal: 80
  316. Tue Sep 2 08:45:13 2025 removing 6354763 relations and 4354763 ideals in 2000000 cliques
  317. Tue Sep 2 08:45:22 2025 commencing in-memory singleton removal
  318. Tue Sep 2 08:45:25 2025 begin with 114911162 relations and 99339231 unique ideals
  319. Tue Sep 2 08:45:31 2025 reduce to 114667273 relations and 94736501 ideals in 6 passes
  320. Tue Sep 2 08:45:31 2025 max relations containing the same ideal: 77
  321. Tue Sep 2 08:47:05 2025 removing 6399844 relations and 4399844 ideals in 2000000 cliques
  322. Tue Sep 2 08:47:12 2025 commencing in-memory singleton removal
  323. Tue Sep 2 08:47:14 2025 begin with 108267429 relations and 94736501 unique ideals
  324. Tue Sep 2 08:47:21 2025 reduce to 108010760 relations and 90075650 ideals in 6 passes
  325. Tue Sep 2 08:47:21 2025 max relations containing the same ideal: 76
  326. Tue Sep 2 08:48:51 2025 removing 6454510 relations and 4454510 ideals in 2000000 cliques
  327. Tue Sep 2 08:48:57 2025 commencing in-memory singleton removal
  328. Tue Sep 2 08:49:00 2025 begin with 101556250 relations and 90075650 unique ideals
  329. Tue Sep 2 08:49:06 2025 reduce to 101278895 relations and 85338948 ideals in 6 passes
  330. Tue Sep 2 08:49:06 2025 max relations containing the same ideal: 74
  331. Tue Sep 2 08:50:35 2025 removing 6507552 relations and 4507552 ideals in 2000000 cliques
  332. Tue Sep 2 08:50:41 2025 commencing in-memory singleton removal
  333. Tue Sep 2 08:50:43 2025 begin with 94771343 relations and 85338948 unique ideals
  334. Tue Sep 2 08:50:49 2025 reduce to 94474271 relations and 80528769 ideals in 7 passes
  335. Tue Sep 2 08:50:49 2025 max relations containing the same ideal: 70
  336. Tue Sep 2 08:52:03 2025 removing 6579389 relations and 4579389 ideals in 2000000 cliques
  337. Tue Sep 2 08:52:08 2025 commencing in-memory singleton removal
  338. Tue Sep 2 08:52:10 2025 begin with 87894882 relations and 80528769 unique ideals
  339. Tue Sep 2 08:52:15 2025 reduce to 87571334 relations and 75619571 ideals in 7 passes
  340. Tue Sep 2 08:52:15 2025 max relations containing the same ideal: 66
  341. Tue Sep 2 08:53:08 2025 removing 6653288 relations and 4653288 ideals in 2000000 cliques
  342. Tue Sep 2 08:53:13 2025 commencing in-memory singleton removal
  343. Tue Sep 2 08:53:14 2025 begin with 80918046 relations and 75619571 unique ideals
  344. Tue Sep 2 08:53:19 2025 reduce to 80562679 relations and 70603677 ideals in 7 passes
  345. Tue Sep 2 08:53:19 2025 max relations containing the same ideal: 62
  346. Tue Sep 2 08:54:17 2025 removing 6736963 relations and 4736963 ideals in 2000000 cliques
  347. Tue Sep 2 08:54:22 2025 commencing in-memory singleton removal
  348. Tue Sep 2 08:54:23 2025 begin with 73825716 relations and 70603677 unique ideals
  349. Tue Sep 2 08:54:28 2025 reduce to 73433308 relations and 65465760 ideals in 8 passes
  350. Tue Sep 2 08:54:28 2025 max relations containing the same ideal: 57
  351. Tue Sep 2 08:55:28 2025 removing 6836416 relations and 4836416 ideals in 2000000 cliques
  352. Tue Sep 2 08:55:32 2025 commencing in-memory singleton removal
  353. Tue Sep 2 08:55:34 2025 begin with 66596892 relations and 65465760 unique ideals
  354. Tue Sep 2 08:55:38 2025 reduce to 66151773 relations and 60173911 ideals in 8 passes
  355. Tue Sep 2 08:55:38 2025 max relations containing the same ideal: 54
  356. Tue Sep 2 08:56:25 2025 removing 6944337 relations and 4944337 ideals in 2000000 cliques
  357. Tue Sep 2 08:56:29 2025 commencing in-memory singleton removal
  358. Tue Sep 2 08:56:30 2025 begin with 59207436 relations and 60173911 unique ideals
  359. Tue Sep 2 08:56:35 2025 reduce to 58695809 relations and 54704793 ideals in 9 passes
  360. Tue Sep 2 08:56:35 2025 max relations containing the same ideal: 51
  361. Tue Sep 2 08:57:17 2025 removing 3058706 relations and 2340581 ideals in 718125 cliques
  362. Tue Sep 2 08:57:20 2025 commencing in-memory singleton removal
  363. Tue Sep 2 08:57:21 2025 begin with 55637103 relations and 54704793 unique ideals
  364. Tue Sep 2 08:57:25 2025 reduce to 55528177 relations and 52254195 ideals in 7 passes
  365. Tue Sep 2 08:57:25 2025 max relations containing the same ideal: 49
  366. Tue Sep 2 08:58:13 2025 relations with 0 large ideals: 102440
  367. Tue Sep 2 08:58:13 2025 relations with 1 large ideals: 137405
  368. Tue Sep 2 08:58:13 2025 relations with 2 large ideals: 1303611
  369. Tue Sep 2 08:58:13 2025 relations with 3 large ideals: 5532596
  370. Tue Sep 2 08:58:13 2025 relations with 4 large ideals: 12175345
  371. Tue Sep 2 08:58:13 2025 relations with 5 large ideals: 15522974
  372. Tue Sep 2 08:58:13 2025 relations with 6 large ideals: 12084214
  373. Tue Sep 2 08:58:13 2025 relations with 7+ large ideals: 8669592
  374. Tue Sep 2 08:58:13 2025 commencing 2-way merge
  375. Tue Sep 2 08:59:09 2025 reduce to 35263334 relation sets and 31989352 unique ideals
  376. Tue Sep 2 08:59:09 2025 commencing full merge
  377. Tue Sep 2 09:25:35 2025 memory use: 4128.7 MB
  378. Tue Sep 2 09:25:41 2025 found 15850463 cycles, need 15551552
  379. Tue Sep 2 09:25:49 2025 weight of 15551552 cycles is about 2022090947 (130.03/cycle)
  380. Tue Sep 2 09:25:49 2025 distribution of cycle lengths:
  381. Tue Sep 2 09:25:49 2025 1 relations: 639234
  382. Tue Sep 2 09:25:49 2025 2 relations: 836561
  383. Tue Sep 2 09:25:49 2025 3 relations: 975704
  384. Tue Sep 2 09:25:49 2025 4 relations: 1011243
  385. Tue Sep 2 09:25:49 2025 5 relations: 1057228
  386. Tue Sep 2 09:25:49 2025 6 relations: 1065743
  387. Tue Sep 2 09:25:49 2025 7 relations: 1066619
  388. Tue Sep 2 09:25:49 2025 8 relations: 1046754
  389. Tue Sep 2 09:25:49 2025 9 relations: 1010842
  390. Tue Sep 2 09:25:49 2025 10+ relations: 6841624
  391. Tue Sep 2 09:25:49 2025 heaviest cycle: 28 relations
  392. Tue Sep 2 09:26:01 2025 commencing cycle optimization
  393. Tue Sep 2 09:27:10 2025 start with 144054638 relations
  394. Tue Sep 2 09:37:37 2025 pruned 6982000 relations
  395. Tue Sep 2 09:37:37 2025 memory use: 3744.0 MB
  396. Tue Sep 2 09:37:37 2025 distribution of cycle lengths:
  397. Tue Sep 2 09:37:37 2025 1 relations: 639234
  398. Tue Sep 2 09:37:37 2025 2 relations: 857987
  399. Tue Sep 2 09:37:37 2025 3 relations: 1016509
  400. Tue Sep 2 09:37:37 2025 4 relations: 1055759
  401. Tue Sep 2 09:37:37 2025 5 relations: 1113424
  402. Tue Sep 2 09:37:37 2025 6 relations: 1124585
  403. Tue Sep 2 09:37:37 2025 7 relations: 1131200
  404. Tue Sep 2 09:37:37 2025 8 relations: 1109352
  405. Tue Sep 2 09:37:37 2025 9 relations: 1073480
  406. Tue Sep 2 09:37:37 2025 10+ relations: 6430022
  407. Tue Sep 2 09:37:37 2025 heaviest cycle: 28 relations
  408. Tue Sep 2 09:38:25 2025 RelProcTime: 20623
  409. Tue Sep 2 09:38:25 2025
  410. Tue Sep 2 09:38:25 2025 commencing linear algebra
  411. Tue Sep 2 09:38:25 2025 using VBITS=256
  412. Tue Sep 2 09:38:25 2025 stopping after matrix build
  413. Tue Sep 2 09:38:25 2025 initialized process (0,0) of 1 x 1 grid
  414. Tue Sep 2 09:38:28 2025 read 15551552 cycles
  415. Tue Sep 2 09:39:25 2025 cycles contain 53952183 unique relations
  416. Tue Sep 2 09:53:11 2025 read 53952183 relations
  417. Tue Sep 2 09:53:18 2025 using 20 quadratic characters above 4294917295
  418. Tue Sep 2 09:53:26 2025 building initial matrix
  419. Tue Sep 2 10:10:26 2025 memory use: 6882.9 MB
  420. Tue Sep 2 10:10:38 2025 read 15551552 cycles
  421. Tue Sep 2 10:10:41 2025 matrix is 15551373 x 15551552 (7811.9 MB) with weight 2229887888 (143.39/col)
  422. Tue Sep 2 10:10:41 2025 sparse part has weight 1876764159 (120.68/col)
  423. Tue Sep 2 10:14:57 2025 filtering completed in 2 passes
  424. Tue Sep 2 10:15:00 2025 matrix is 15550456 x 15550629 (7811.7 MB) with weight 2229846659 (143.39/col)
  425. Tue Sep 2 10:15:00 2025 sparse part has weight 1876743587 (120.69/col)
  426. Tue Sep 2 10:16:40 2025 BLanczosTime: 2295
  427. Tue Sep 2 10:16:40 2025 elapsed time 06:22:01
  428. Tue Sep 2 21:07:24 2025
  429. Tue Sep 2 21:07:24 2025
  430. Tue Sep 2 21:07:24 2025 Msieve v. 1.54 (SVN Unversioned directory)
  431. Tue Sep 2 21:07:24 2025 random seeds: a3492aac 46db44b2
  432. Tue Sep 2 21:07:24 2025 MPI process 0 of 1
  433. Tue Sep 2 21:07:24 2025 Using 64 OpenMP threads
  434. Tue Sep 2 21:07:24 2025 factoring 5111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (265 digits)
  435. Tue Sep 2 21:07:26 2025 searching for 15-digit factors
  436. Tue Sep 2 21:07:26 2025 commencing number field sieve (265-digit input)
  437. Tue Sep 2 21:07:26 2025 R0: 100000000000000000000000000000000000000000000
  438. Tue Sep 2 21:07:26 2025 R1: -1
  439. Tue Sep 2 21:07:26 2025 A0: -1
  440. Tue Sep 2 21:07:26 2025 A1: 0
  441. Tue Sep 2 21:07:26 2025 A2: 0
  442. Tue Sep 2 21:07:26 2025 A3: 0
  443. Tue Sep 2 21:07:26 2025 A4: 0
  444. Tue Sep 2 21:07:26 2025 A5: 0
  445. Tue Sep 2 21:07:26 2025 A6: 46
  446. Tue Sep 2 21:07:26 2025 skew 0.69, size 5.037e-13, alpha 0.742, combined = 6.856e-14 rroots = 2
  447. Tue Sep 2 21:07:26 2025
  448. Tue Sep 2 21:07:26 2025 commencing linear algebra
  449. Tue Sep 2 21:07:26 2025 using VBITS=256
  450. Tue Sep 2 21:07:26 2025 skipping matrix build
  451. Tue Sep 2 21:07:26 2025 initialized process (0,0) of 1 x 1 grid
  452. Tue Sep 2 21:07:39 2025 matrix starts at (0, 0)
  453. Tue Sep 2 21:07:43 2025 matrix is 15550456 x 15550629 (7811.7 MB) with weight 2229846659 (143.39/col)
  454. Tue Sep 2 21:07:43 2025 sparse part has weight 1876743587 (120.69/col)
  455. Tue Sep 2 21:07:43 2025 saving the first 240 matrix rows for later
  456. Tue Sep 2 21:07:49 2025 matrix includes 256 packed rows
  457. Tue Sep 2 21:07:54 2025 matrix is 15550216 x 15550629 (7179.0 MB) with weight 1717997580 (110.48/col)
  458. Tue Sep 2 21:07:54 2025 sparse part has weight 1633118414 (105.02/col)
  459. Tue Sep 2 21:07:54 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  460. Tue Sep 2 21:08:28 2025 commencing Lanczos iteration (64 threads)
  461. Tue Sep 2 21:08:28 2025 memory use: 10168.6 MB
  462. Tue Sep 2 21:10:46 2025 linear algebra at 0.2%, ETA 19h 8m
  463. Tue Sep 2 21:14:07 2025 checking every 10000 dimensions, checkpointing every 830000 dimensions
  464. Wed Sep 3 15:53:09 2025 lanczos halted after 60927 iterations (dim = 15550216)
  465. Wed Sep 3 15:53:57 2025 recovered 34 nontrivial dependencies
  466. Wed Sep 3 15:53:59 2025 BLanczosTime: 67593
  467. Wed Sep 3 15:53:59 2025
  468. Wed Sep 3 15:53:59 2025 commencing square root phase
  469. Wed Sep 3 15:53:59 2025 handling dependencies 1 to 64
  470. Wed Sep 3 15:53:59 2025 reading relations for dependency 1
  471. Wed Sep 3 15:54:00 2025 read 7774392 cycles
  472. Wed Sep 3 15:54:14 2025 cycles contain 26976406 unique relations
  473. Wed Sep 3 16:06:17 2025 read 26976406 relations
  474. Wed Sep 3 16:10:13 2025 multiplying 26976406 relations
  475. Wed Sep 3 16:13:51 2025 multiply complete, coefficients have about 842.08 million bits
  476. Wed Sep 3 16:13:54 2025 initial square root is modulo 35867347
  477. Wed Sep 3 16:24:50 2025 GCD is 1, no factor found
  478. Wed Sep 3 16:24:50 2025 reading relations for dependency 2
  479. Wed Sep 3 16:24:53 2025 read 7777165 cycles
  480. Wed Sep 3 16:25:22 2025 cycles contain 26976704 unique relations
  481. Wed Sep 3 16:39:05 2025 read 26976704 relations
  482. Wed Sep 3 16:43:11 2025 multiplying 26976704 relations
  483. Wed Sep 3 16:46:37 2025 multiply complete, coefficients have about 842.08 million bits
  484. Wed Sep 3 16:46:40 2025 initial square root is modulo 35871391
  485. Wed Sep 3 16:57:30 2025 sqrtTime: 3811
  486. Wed Sep 3 16:57:30 2025 p93 factor: 787264062010877805752072830591097950617710842760208957742338519764836479659099652438306275459
  487. Wed Sep 3 16:57:30 2025 p172 factor: 6492244924855327299220289049612911382070313352583918559421208590017299740086334223071139205532500949098960533329893466832298762618789299957818801479499253924465481111109229
  488. Wed Sep 3 16:57:30 2025 elapsed time 19:50:06
  489.  
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