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  1. Mon Nov 17 09:00:46 2025
  2. Mon Nov 17 09:00:46 2025
  3. Mon Nov 17 09:00:46 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Nov 17 09:00:46 2025 random seeds: 4b3f9bbe 06179863
  5. Mon Nov 17 09:00:46 2025 Using 8 OpenMP threads
  6. Mon Nov 17 09:00:46 2025 factoring 413427171048754881865102806315968877428761032508598765621980975702428712941939982404037500091126552871074736311534674370485141310579483243631021892015123570519501731454527718729933099090504538593103147 (201 digits)
  7. Mon Nov 17 09:00:46 2025 searching for 15-digit factors
  8. Mon Nov 17 09:00:47 2025 commencing number field sieve (201-digit input)
  9. Mon Nov 17 09:00:47 2025 R0: 9040458159278321064602582004939317910007
  10. Mon Nov 17 09:00:47 2025 R1: -1
  11. Mon Nov 17 09:00:47 2025 A0: 1
  12. Mon Nov 17 09:00:47 2025 A1: 1
  13. Mon Nov 17 09:00:47 2025 A2: 1
  14. Mon Nov 17 09:00:47 2025 A3: 1
  15. Mon Nov 17 09:00:47 2025 A4: 1
  16. Mon Nov 17 09:00:47 2025 A5: 1
  17. Mon Nov 17 09:00:47 2025 A6: 1
  18. Mon Nov 17 09:00:47 2025 skew 1.36, size 7.462e-12, alpha 2.428, combined = 5.174e-13 rroots = 0
  19. Mon Nov 17 09:00:47 2025
  20. Mon Nov 17 09:00:47 2025 commencing relation filtering
  21. Mon Nov 17 09:00:47 2025 estimated available RAM is 78540.1 MB
  22. Mon Nov 17 09:00:47 2025 commencing duplicate removal, pass 1
  23. Mon Nov 17 09:04:30 2025 error -1 reading relation 156596622
  24. Mon Nov 17 09:04:31 2025 error -1 reading relation 157848845
  25. Mon Nov 17 09:04:32 2025 error -1 reading relation 158793451
  26. Mon Nov 17 09:04:37 2025 error -1 reading relation 161455766
  27. Mon Nov 17 09:04:39 2025 error -1 reading relation 163035877
  28. Mon Nov 17 09:04:52 2025 error -1 reading relation 173769589
  29. Mon Nov 17 09:04:53 2025 error -1 reading relation 174246583
  30. Mon Nov 17 09:05:22 2025 error -1 reading relation 195006578
  31. Mon Nov 17 09:05:31 2025 error -1 reading relation 201362398
  32. Mon Nov 17 09:05:41 2025 error -1 reading relation 209212297
  33. Mon Nov 17 09:05:45 2025 error -1 reading relation 211677026
  34. Mon Nov 17 09:05:46 2025 error -1 reading relation 212327245
  35. Mon Nov 17 09:05:55 2025 error -1 reading relation 219374561
  36. Mon Nov 17 09:05:59 2025 error -1 reading relation 221595159
  37. Mon Nov 17 09:06:02 2025 error -1 reading relation 223586889
  38. Mon Nov 17 09:06:22 2025 error -1 reading relation 238526770
  39. Mon Nov 17 09:06:34 2025 error -1 reading relation 248095101
  40. Mon Nov 17 09:06:56 2025 error -1 reading relation 265529139
  41. Mon Nov 17 09:07:19 2025 error -1 reading relation 285630959
  42. Mon Nov 17 09:07:20 2025 error -5 reading relation 286331708
  43. Mon Nov 17 09:07:39 2025 error -1 reading relation 302144648
  44. Mon Nov 17 09:07:43 2025 error -1 reading relation 305213221
  45. Mon Nov 17 09:07:44 2025 error -1 reading relation 306481124
  46. Mon Nov 17 09:07:47 2025 error -1 reading relation 308647415
  47. Mon Nov 17 09:07:48 2025 error -1 reading relation 309702260
  48. Mon Nov 17 09:07:52 2025 error -1 reading relation 312806629
  49. Mon Nov 17 09:08:19 2025 error -1 reading relation 334576191
  50. Mon Nov 17 09:08:37 2025 error -1 reading relation 351170853
  51. Mon Nov 17 09:08:40 2025 error -1 reading relation 353194394
  52. Mon Nov 17 09:08:52 2025 skipped 44 relations with b > 2^32
  53. Mon Nov 17 09:08:52 2025 skipped 3 relations with composite factors
  54. Mon Nov 17 09:08:52 2025 skipped 177 malformed relations
  55. Mon Nov 17 09:08:52 2025 found 72249388 hash collisions in 363905777 relations
  56. Mon Nov 17 09:08:55 2025 added 2438534 free relations
  57. Mon Nov 17 09:08:55 2025 commencing duplicate removal, pass 2
  58. Mon Nov 17 09:11:23 2025 found 75681530 duplicates and 290662781 unique relations
  59. Mon Nov 17 09:11:23 2025 memory use: 1705.5 MB
  60. Mon Nov 17 09:11:23 2025 reading ideals above 143065088
  61. Mon Nov 17 09:11:23 2025 commencing singleton removal, initial pass
  62. Mon Nov 17 09:21:08 2025 memory use: 6024.0 MB
  63. Mon Nov 17 09:21:08 2025 reading all ideals from disk
  64. Mon Nov 17 09:21:15 2025 memory use: 7430.8 MB
  65. Mon Nov 17 09:21:44 2025 commencing in-memory singleton removal
  66. Mon Nov 17 09:21:46 2025 begin with 290662781 relations and 230727281 unique ideals
  67. Mon Nov 17 09:22:01 2025 reduce to 198805936 relations and 131070843 ideals in 13 passes
  68. Mon Nov 17 09:22:01 2025 max relations containing the same ideal: 32
  69. Mon Nov 17 09:22:05 2025 reading ideals above 720000
  70. Mon Nov 17 09:22:05 2025 commencing singleton removal, initial pass
  71. Mon Nov 17 09:33:43 2025 memory use: 3012.0 MB
  72. Mon Nov 17 09:33:44 2025 reading all ideals from disk
  73. Mon Nov 17 09:34:08 2025 memory use: 9272.2 MB
  74. Mon Nov 17 09:34:32 2025 keeping 146254652 ideals with weight <= 200, target excess is 966367
  75. Mon Nov 17 09:34:50 2025 commencing in-memory singleton removal
  76. Mon Nov 17 09:34:53 2025 begin with 198805936 relations and 146254652 unique ideals
  77. Mon Nov 17 09:35:03 2025 reduce to 198805874 relations and 146254590 ideals in 4 passes
  78. Mon Nov 17 09:35:03 2025 max relations containing the same ideal: 200
  79. Mon Nov 17 09:35:59 2025 removing 10407072 relations and 8407072 ideals in 2000000 cliques
  80. Mon Nov 17 09:36:03 2025 commencing in-memory singleton removal
  81. Mon Nov 17 09:36:06 2025 begin with 188398802 relations and 146254590 unique ideals
  82. Mon Nov 17 09:36:21 2025 reduce to 187952727 relations and 137395218 ideals in 7 passes
  83. Mon Nov 17 09:36:21 2025 max relations containing the same ideal: 199
  84. Mon Nov 17 09:37:11 2025 removing 7944797 relations and 5944797 ideals in 2000000 cliques
  85. Mon Nov 17 09:37:14 2025 commencing in-memory singleton removal
  86. Mon Nov 17 09:37:17 2025 begin with 180007930 relations and 137395218 unique ideals
  87. Mon Nov 17 09:37:32 2025 reduce to 179717213 relations and 131156288 ideals in 7 passes
  88. Mon Nov 17 09:37:32 2025 max relations containing the same ideal: 196
  89. Mon Nov 17 09:38:21 2025 removing 7207399 relations and 5207399 ideals in 2000000 cliques
  90. Mon Nov 17 09:38:24 2025 commencing in-memory singleton removal
  91. Mon Nov 17 09:38:26 2025 begin with 172509814 relations and 131156288 unique ideals
  92. Mon Nov 17 09:38:42 2025 reduce to 172261032 relations and 125697205 ideals in 8 passes
  93. Mon Nov 17 09:38:42 2025 max relations containing the same ideal: 192
  94. Mon Nov 17 09:39:29 2025 removing 6816076 relations and 4816076 ideals in 2000000 cliques
  95. Mon Nov 17 09:39:32 2025 commencing in-memory singleton removal
  96. Mon Nov 17 09:39:34 2025 begin with 165444956 relations and 125697205 unique ideals
  97. Mon Nov 17 09:39:48 2025 reduce to 165215724 relations and 120649288 ideals in 7 passes
  98. Mon Nov 17 09:39:48 2025 max relations containing the same ideal: 187
  99. Mon Nov 17 09:40:32 2025 removing 6561280 relations and 4561280 ideals in 2000000 cliques
  100. Mon Nov 17 09:40:35 2025 commencing in-memory singleton removal
  101. Mon Nov 17 09:40:37 2025 begin with 158654444 relations and 120649288 unique ideals
  102. Mon Nov 17 09:40:49 2025 reduce to 158439697 relations and 115870715 ideals in 6 passes
  103. Mon Nov 17 09:40:49 2025 max relations containing the same ideal: 184
  104. Mon Nov 17 09:41:29 2025 removing 6382726 relations and 4382726 ideals in 2000000 cliques
  105. Mon Nov 17 09:41:32 2025 commencing in-memory singleton removal
  106. Mon Nov 17 09:41:34 2025 begin with 152056971 relations and 115870715 unique ideals
  107. Mon Nov 17 09:41:44 2025 reduce to 151852058 relations and 111280574 ideals in 6 passes
  108. Mon Nov 17 09:41:44 2025 max relations containing the same ideal: 181
  109. Mon Nov 17 09:42:24 2025 removing 6244623 relations and 4244623 ideals in 2000000 cliques
  110. Mon Nov 17 09:42:27 2025 commencing in-memory singleton removal
  111. Mon Nov 17 09:42:29 2025 begin with 145607435 relations and 111280574 unique ideals
  112. Mon Nov 17 09:42:40 2025 reduce to 145406297 relations and 106832180 ideals in 6 passes
  113. Mon Nov 17 09:42:40 2025 max relations containing the same ideal: 176
  114. Mon Nov 17 09:43:19 2025 removing 6139735 relations and 4139735 ideals in 2000000 cliques
  115. Mon Nov 17 09:43:22 2025 commencing in-memory singleton removal
  116. Mon Nov 17 09:43:24 2025 begin with 139266562 relations and 106832180 unique ideals
  117. Mon Nov 17 09:43:33 2025 reduce to 139067298 relations and 102490506 ideals in 6 passes
  118. Mon Nov 17 09:43:33 2025 max relations containing the same ideal: 171
  119. Mon Nov 17 09:44:09 2025 removing 6054841 relations and 4054841 ideals in 2000000 cliques
  120. Mon Nov 17 09:44:11 2025 commencing in-memory singleton removal
  121. Mon Nov 17 09:44:13 2025 begin with 133012457 relations and 102490506 unique ideals
  122. Mon Nov 17 09:44:22 2025 reduce to 132815672 relations and 98236124 ideals in 6 passes
  123. Mon Nov 17 09:44:22 2025 max relations containing the same ideal: 166
  124. Mon Nov 17 09:44:56 2025 removing 5983026 relations and 3983026 ideals in 2000000 cliques
  125. Mon Nov 17 09:44:59 2025 commencing in-memory singleton removal
  126. Mon Nov 17 09:45:00 2025 begin with 126832646 relations and 98236124 unique ideals
  127. Mon Nov 17 09:45:10 2025 reduce to 126634453 relations and 94051979 ideals in 7 passes
  128. Mon Nov 17 09:45:10 2025 max relations containing the same ideal: 160
  129. Mon Nov 17 09:45:44 2025 removing 5930604 relations and 3930604 ideals in 2000000 cliques
  130. Mon Nov 17 09:45:46 2025 commencing in-memory singleton removal
  131. Mon Nov 17 09:45:47 2025 begin with 120703849 relations and 94051979 unique ideals
  132. Mon Nov 17 09:45:56 2025 reduce to 120502425 relations and 89917060 ideals in 7 passes
  133. Mon Nov 17 09:45:56 2025 max relations containing the same ideal: 158
  134. Mon Nov 17 09:46:29 2025 removing 5884897 relations and 3884897 ideals in 2000000 cliques
  135. Mon Nov 17 09:46:31 2025 commencing in-memory singleton removal
  136. Mon Nov 17 09:46:33 2025 begin with 114617528 relations and 89917060 unique ideals
  137. Mon Nov 17 09:46:40 2025 reduce to 114412762 relations and 85824102 ideals in 6 passes
  138. Mon Nov 17 09:46:40 2025 max relations containing the same ideal: 152
  139. Mon Nov 17 09:47:10 2025 removing 5853373 relations and 3853373 ideals in 2000000 cliques
  140. Mon Nov 17 09:47:12 2025 commencing in-memory singleton removal
  141. Mon Nov 17 09:47:14 2025 begin with 108559389 relations and 85824102 unique ideals
  142. Mon Nov 17 09:47:21 2025 reduce to 108349579 relations and 81757292 ideals in 6 passes
  143. Mon Nov 17 09:47:21 2025 max relations containing the same ideal: 147
  144. Mon Nov 17 09:47:49 2025 removing 5821433 relations and 3821433 ideals in 2000000 cliques
  145. Mon Nov 17 09:47:51 2025 commencing in-memory singleton removal
  146. Mon Nov 17 09:47:52 2025 begin with 102528146 relations and 81757292 unique ideals
  147. Mon Nov 17 09:47:59 2025 reduce to 102310488 relations and 77714307 ideals in 6 passes
  148. Mon Nov 17 09:47:59 2025 max relations containing the same ideal: 146
  149. Mon Nov 17 09:48:28 2025 removing 5804187 relations and 3804187 ideals in 2000000 cliques
  150. Mon Nov 17 09:48:31 2025 commencing in-memory singleton removal
  151. Mon Nov 17 09:48:32 2025 begin with 96506301 relations and 77714307 unique ideals
  152. Mon Nov 17 09:48:38 2025 reduce to 96279957 relations and 73679432 ideals in 6 passes
  153. Mon Nov 17 09:48:38 2025 max relations containing the same ideal: 144
  154. Mon Nov 17 09:49:05 2025 removing 5795076 relations and 3795076 ideals in 2000000 cliques
  155. Mon Nov 17 09:49:07 2025 commencing in-memory singleton removal
  156. Mon Nov 17 09:49:08 2025 begin with 90484881 relations and 73679432 unique ideals
  157. Mon Nov 17 09:49:14 2025 reduce to 90247835 relations and 69642593 ideals in 7 passes
  158. Mon Nov 17 09:49:14 2025 max relations containing the same ideal: 137
  159. Mon Nov 17 09:49:39 2025 removing 5788344 relations and 3788344 ideals in 2000000 cliques
  160. Mon Nov 17 09:49:41 2025 commencing in-memory singleton removal
  161. Mon Nov 17 09:49:42 2025 begin with 84459491 relations and 69642593 unique ideals
  162. Mon Nov 17 09:49:47 2025 reduce to 84208873 relations and 65598473 ideals in 6 passes
  163. Mon Nov 17 09:49:47 2025 max relations containing the same ideal: 127
  164. Mon Nov 17 09:50:12 2025 removing 5793225 relations and 3793225 ideals in 2000000 cliques
  165. Mon Nov 17 09:50:14 2025 commencing in-memory singleton removal
  166. Mon Nov 17 09:50:15 2025 begin with 78415648 relations and 65598473 unique ideals
  167. Mon Nov 17 09:50:21 2025 reduce to 78149153 relations and 61532857 ideals in 6 passes
  168. Mon Nov 17 09:50:21 2025 max relations containing the same ideal: 119
  169. Mon Nov 17 09:50:43 2025 removing 5806065 relations and 3806065 ideals in 2000000 cliques
  170. Mon Nov 17 09:50:45 2025 commencing in-memory singleton removal
  171. Mon Nov 17 09:50:46 2025 begin with 72343088 relations and 61532857 unique ideals
  172. Mon Nov 17 09:50:51 2025 reduce to 72056671 relations and 57433557 ideals in 7 passes
  173. Mon Nov 17 09:50:51 2025 max relations containing the same ideal: 112
  174. Mon Nov 17 09:51:13 2025 removing 5828229 relations and 3828229 ideals in 2000000 cliques
  175. Mon Nov 17 09:51:15 2025 commencing in-memory singleton removal
  176. Mon Nov 17 09:51:15 2025 begin with 66228442 relations and 57433557 unique ideals
  177. Mon Nov 17 09:51:20 2025 reduce to 65916787 relations and 53285773 ideals in 7 passes
  178. Mon Nov 17 09:51:20 2025 max relations containing the same ideal: 103
  179. Mon Nov 17 09:51:39 2025 removing 5858394 relations and 3858394 ideals in 2000000 cliques
  180. Mon Nov 17 09:51:41 2025 commencing in-memory singleton removal
  181. Mon Nov 17 09:51:41 2025 begin with 60058393 relations and 53285773 unique ideals
  182. Mon Nov 17 09:51:46 2025 reduce to 59716304 relations and 49075985 ideals in 7 passes
  183. Mon Nov 17 09:51:46 2025 max relations containing the same ideal: 95
  184. Mon Nov 17 09:52:05 2025 removing 5898539 relations and 3898539 ideals in 2000000 cliques
  185. Mon Nov 17 09:52:07 2025 commencing in-memory singleton removal
  186. Mon Nov 17 09:52:07 2025 begin with 53817765 relations and 49075985 unique ideals
  187. Mon Nov 17 09:52:11 2025 reduce to 53438041 relations and 44786575 ideals in 6 passes
  188. Mon Nov 17 09:52:11 2025 max relations containing the same ideal: 90
  189. Mon Nov 17 09:52:27 2025 removing 5952773 relations and 3952773 ideals in 2000000 cliques
  190. Mon Nov 17 09:52:29 2025 commencing in-memory singleton removal
  191. Mon Nov 17 09:52:29 2025 begin with 47485268 relations and 44786575 unique ideals
  192. Mon Nov 17 09:52:33 2025 reduce to 47055201 relations and 40389594 ideals in 7 passes
  193. Mon Nov 17 09:52:33 2025 max relations containing the same ideal: 86
  194. Mon Nov 17 09:52:48 2025 removing 6011362 relations and 4011362 ideals in 2000000 cliques
  195. Mon Nov 17 09:52:49 2025 commencing in-memory singleton removal
  196. Mon Nov 17 09:52:49 2025 begin with 41043839 relations and 40389594 unique ideals
  197. Mon Nov 17 09:52:53 2025 reduce to 40545697 relations and 35862024 ideals in 8 passes
  198. Mon Nov 17 09:52:53 2025 max relations containing the same ideal: 84
  199. Mon Nov 17 09:53:05 2025 removing 6084813 relations and 4084813 ideals in 2000000 cliques
  200. Mon Nov 17 09:53:06 2025 commencing in-memory singleton removal
  201. Mon Nov 17 09:53:06 2025 begin with 34460884 relations and 35862024 unique ideals
  202. Mon Nov 17 09:53:09 2025 reduce to 33865668 relations and 31156522 ideals in 8 passes
  203. Mon Nov 17 09:53:09 2025 max relations containing the same ideal: 68
  204. Mon Nov 17 09:53:21 2025 removing 5096988 relations and 3508828 ideals in 1588160 cliques
  205. Mon Nov 17 09:53:22 2025 commencing in-memory singleton removal
  206. Mon Nov 17 09:53:22 2025 begin with 28768680 relations and 31156522 unique ideals
  207. Mon Nov 17 09:53:25 2025 reduce to 28233146 relations and 27089995 ideals in 9 passes
  208. Mon Nov 17 09:53:25 2025 max relations containing the same ideal: 59
  209. Mon Nov 17 09:53:35 2025 removing 143259 relations and 121094 ideals in 22165 cliques
  210. Mon Nov 17 09:53:36 2025 commencing in-memory singleton removal
  211. Mon Nov 17 09:53:36 2025 begin with 28089887 relations and 27089995 unique ideals
  212. Mon Nov 17 09:53:38 2025 reduce to 28089266 relations and 26968280 ideals in 4 passes
  213. Mon Nov 17 09:53:38 2025 max relations containing the same ideal: 58
  214. Mon Nov 17 09:53:40 2025 relations with 0 large ideals: 72615
  215. Mon Nov 17 09:53:40 2025 relations with 1 large ideals: 32258
  216. Mon Nov 17 09:53:40 2025 relations with 2 large ideals: 322778
  217. Mon Nov 17 09:53:40 2025 relations with 3 large ideals: 1664431
  218. Mon Nov 17 09:53:40 2025 relations with 4 large ideals: 4533161
  219. Mon Nov 17 09:53:40 2025 relations with 5 large ideals: 7211692
  220. Mon Nov 17 09:53:40 2025 relations with 6 large ideals: 7048490
  221. Mon Nov 17 09:53:40 2025 relations with 7+ large ideals: 7203841
  222. Mon Nov 17 09:53:40 2025 commencing 2-way merge
  223. Mon Nov 17 09:53:53 2025 reduce to 18411621 relation sets and 17290635 unique ideals
  224. Mon Nov 17 09:53:53 2025 commencing full merge
  225. Mon Nov 17 09:58:33 2025 memory use: 2265.3 MB
  226. Mon Nov 17 09:58:35 2025 found 9150553 cycles, need 9008835
  227. Mon Nov 17 09:58:37 2025 weight of 9008835 cycles is about 811009468 (90.02/cycle)
  228. Mon Nov 17 09:58:37 2025 distribution of cycle lengths:
  229. Mon Nov 17 09:58:37 2025 1 relations: 615879
  230. Mon Nov 17 09:58:37 2025 2 relations: 737601
  231. Mon Nov 17 09:58:37 2025 3 relations: 817086
  232. Mon Nov 17 09:58:37 2025 4 relations: 832324
  233. Mon Nov 17 09:58:37 2025 5 relations: 836923
  234. Mon Nov 17 09:58:37 2025 6 relations: 807084
  235. Mon Nov 17 09:58:37 2025 7 relations: 757880
  236. Mon Nov 17 09:58:37 2025 8 relations: 682815
  237. Mon Nov 17 09:58:37 2025 9 relations: 597835
  238. Mon Nov 17 09:58:37 2025 10+ relations: 2323408
  239. Mon Nov 17 09:58:37 2025 heaviest cycle: 24 relations
  240. Mon Nov 17 09:58:41 2025 commencing cycle optimization
  241. Mon Nov 17 09:58:57 2025 start with 62856279 relations
  242. Mon Nov 17 10:00:36 2025 pruned 2349986 relations
  243. Mon Nov 17 10:00:37 2025 memory use: 1808.5 MB
  244. Mon Nov 17 10:00:37 2025 distribution of cycle lengths:
  245. Mon Nov 17 10:00:37 2025 1 relations: 615879
  246. Mon Nov 17 10:00:37 2025 2 relations: 752719
  247. Mon Nov 17 10:00:37 2025 3 relations: 847378
  248. Mon Nov 17 10:00:37 2025 4 relations: 863414
  249. Mon Nov 17 10:00:37 2025 5 relations: 875548
  250. Mon Nov 17 10:00:37 2025 6 relations: 840841
  251. Mon Nov 17 10:00:37 2025 7 relations: 790792
  252. Mon Nov 17 10:00:37 2025 8 relations: 705473
  253. Mon Nov 17 10:00:37 2025 9 relations: 612891
  254. Mon Nov 17 10:00:37 2025 10+ relations: 2103900
  255. Mon Nov 17 10:00:37 2025 heaviest cycle: 24 relations
  256. Mon Nov 17 10:00:48 2025 RelProcTime: 3601
  257. Mon Nov 17 10:00:48 2025 elapsed time 01:00:02
  258. Mon Nov 17 10:01:58 2025
  259. Mon Nov 17 10:01:58 2025
  260. Mon Nov 17 10:01:58 2025 Msieve v. 1.54 (SVN Unversioned directory)
  261. Mon Nov 17 10:01:58 2025 random seeds: da9683fe 3392aecb
  262. Mon Nov 17 10:01:58 2025 Using 8 OpenMP threads
  263. Mon Nov 17 10:01:58 2025 factoring 413427171048754881865102806315968877428761032508598765621980975702428712941939982404037500091126552871074736311534674370485141310579483243631021892015123570519501731454527718729933099090504538593103147 (201 digits)
  264. Mon Nov 17 10:01:59 2025 searching for 15-digit factors
  265. Mon Nov 17 10:01:59 2025 commencing number field sieve (201-digit input)
  266. Mon Nov 17 10:01:59 2025 R0: 9040458159278321064602582004939317910007
  267. Mon Nov 17 10:01:59 2025 R1: -1
  268. Mon Nov 17 10:01:59 2025 A0: 1
  269. Mon Nov 17 10:01:59 2025 A1: 1
  270. Mon Nov 17 10:01:59 2025 A2: 1
  271. Mon Nov 17 10:01:59 2025 A3: 1
  272. Mon Nov 17 10:01:59 2025 A4: 1
  273. Mon Nov 17 10:01:59 2025 A5: 1
  274. Mon Nov 17 10:01:59 2025 A6: 1
  275. Mon Nov 17 10:01:59 2025 skew 1.36, size 7.462e-12, alpha 2.428, combined = 5.174e-13 rroots = 0
  276. Mon Nov 17 10:01:59 2025
  277. Mon Nov 17 10:01:59 2025 commencing linear algebra
  278. Mon Nov 17 10:01:59 2025 using VBITS=256
  279. Mon Nov 17 10:01:59 2025 read 9008835 cycles
  280. Mon Nov 17 10:02:16 2025
  281. Mon Nov 17 10:02:16 2025
  282. Mon Nov 17 10:02:16 2025 Msieve v. 1.54 (SVN Unversioned directory)
  283. Mon Nov 17 10:02:16 2025 random seeds: 0c9de1e7 105d2ef1
  284. Mon Nov 17 10:02:16 2025 Using 8 OpenMP threads
  285. Mon Nov 17 10:02:16 2025 factoring 413427171048754881865102806315968877428761032508598765621980975702428712941939982404037500091126552871074736311534674370485141310579483243631021892015123570519501731454527718729933099090504538593103147 (201 digits)
  286. Mon Nov 17 10:02:16 2025 searching for 15-digit factors
  287. Mon Nov 17 10:02:17 2025 commencing number field sieve (201-digit input)
  288. Mon Nov 17 10:02:17 2025 R0: 9040458159278321064602582004939317910007
  289. Mon Nov 17 10:02:17 2025 R1: -1
  290. Mon Nov 17 10:02:17 2025 A0: 1
  291. Mon Nov 17 10:02:17 2025 A1: 1
  292. Mon Nov 17 10:02:17 2025 A2: 1
  293. Mon Nov 17 10:02:17 2025 A3: 1
  294. Mon Nov 17 10:02:17 2025 A4: 1
  295. Mon Nov 17 10:02:17 2025 A5: 1
  296. Mon Nov 17 10:02:17 2025 A6: 1
  297. Mon Nov 17 10:02:17 2025 skew 1.36, size 7.462e-12, alpha 2.428, combined = 5.174e-13 rroots = 0
  298. Mon Nov 17 10:02:17 2025
  299. Mon Nov 17 10:02:17 2025 commencing linear algebra
  300. Mon Nov 17 10:02:17 2025 using VBITS=256
  301. Mon Nov 17 10:02:17 2025 stopping after matrix build
  302. Mon Nov 17 10:02:17 2025 read 9008835 cycles
  303. Mon Nov 17 10:02:28 2025 cycles contain 27510561 unique relations
  304. Mon Nov 17 10:07:46 2025 read 27510561 relations
  305. Mon Nov 17 10:07:55 2025 using 20 quadratic characters above 4294917295
  306. Mon Nov 17 10:08:07 2025 building initial matrix
  307. Mon Nov 17 10:11:57 2025 memory use: 3356.7 MB
  308. Mon Nov 17 10:12:00 2025 read 9008835 cycles
  309. Mon Nov 17 10:12:01 2025 matrix is 9008654 x 9008835 (3319.2 MB) with weight 949058410 (105.35/col)
  310. Mon Nov 17 10:12:01 2025 sparse part has weight 771012392 (85.58/col)
  311. Mon Nov 17 10:12:59 2025 filtering completed in 2 passes
  312. Mon Nov 17 10:13:01 2025 matrix is 9007182 x 9007350 (3319.1 MB) with weight 949006542 (105.36/col)
  313. Mon Nov 17 10:13:01 2025 sparse part has weight 770989102 (85.60/col)
  314. Mon Nov 17 10:13:22 2025 BLanczosTime: 665
  315. Mon Nov 17 10:13:22 2025 elapsed time 00:11:06
  316. Mon Nov 17 11:34:52 2025
  317. Mon Nov 17 11:34:52 2025
  318. Mon Nov 17 11:34:52 2025 Msieve v. 1.54 (SVN unknown)
  319. Mon Nov 17 11:34:52 2025 random seeds: 84593152 75954716
  320. Mon Nov 17 11:34:52 2025 Using 4 OpenMP threads
  321. Mon Nov 17 11:34:52 2025 factoring 413427171048754881865102806315968877428761032508598765621980975702428712941939982404037500091126552871074736311534674370485141310579483243631021892015123570519501731454527718729933099090504538593103147 (201 digits)
  322. Mon Nov 17 11:34:52 2025 no P-1/P+1/ECM available, skipping
  323. Mon Nov 17 11:34:52 2025 commencing number field sieve (201-digit input)
  324. Mon Nov 17 11:34:52 2025 R0: 9040458159278321064602582004939317910007
  325. Mon Nov 17 11:34:52 2025 R1: -1
  326. Mon Nov 17 11:34:52 2025 A0: 1
  327. Mon Nov 17 11:34:52 2025 A1: 1
  328. Mon Nov 17 11:34:52 2025 A2: 1
  329. Mon Nov 17 11:34:52 2025 A3: 1
  330. Mon Nov 17 11:34:52 2025 A4: 1
  331. Mon Nov 17 11:34:52 2025 A5: 1
  332. Mon Nov 17 11:34:52 2025 A6: 1
  333. Mon Nov 17 11:34:52 2025 skew 1.36, size 7.462e-12, alpha 2.428, combined = 5.174e-13 rroots = 0
  334. Mon Nov 17 11:34:52 2025
  335. Mon Nov 17 11:34:52 2025 commencing linear algebra
  336. Mon Nov 17 11:34:52 2025 using VBITS=256
  337. Mon Nov 17 11:34:52 2025 skipping matrix build
  338. Mon Nov 17 11:35:21 2025 matrix starts at (0, 0)
  339. Mon Nov 17 11:35:23 2025 matrix is 9007182 x 9007350 (3319.1 MB) with weight 949006542 (105.36/col)
  340. Mon Nov 17 11:35:23 2025 sparse part has weight 770989102 (85.60/col)
  341. Mon Nov 17 11:35:23 2025 saving the first 240 matrix rows for later
  342. Mon Nov 17 11:35:24 2025 matrix includes 256 packed rows
  343. Mon Nov 17 11:35:29 2025 matrix is 9006942 x 9007350 (3085.6 MB) with weight 701596774 (77.89/col)
  344. Mon Nov 17 11:35:29 2025 sparse part has weight 664760420 (73.80/col)
  345. Mon Nov 17 11:35:29 2025 using GPU 0 (NVIDIA GeForce RTX 5060 Ti)
  346. Mon Nov 17 11:35:29 2025 selected card has CUDA arch 12.0
  347. Mon Nov 17 11:40:08 2025 commencing Lanczos iteration
  348. Mon Nov 17 11:40:08 2025 memory use: 7339.5 MB
  349. Mon Nov 17 11:40:46 2025 linear algebra at 0.3%, ETA 3h 0m
  350. Mon Nov 17 11:41:45 2025 checking every 40000 dimensions, checkpointing every 2920000 dimensions
  351. Mon Nov 17 14:46:22 2025 lanczos halted after 35289 iterations (dim = 9006941)
  352. Mon Nov 17 14:47:03 2025 recovered 38 nontrivial dependencies
  353. Mon Nov 17 14:47:04 2025 BLanczosTime: 11532
  354. Mon Nov 17 14:47:04 2025 elapsed time 03:12:12
  355. Mon Nov 17 14:47:32 2025
  356. Mon Nov 17 14:47:32 2025
  357. Mon Nov 17 14:47:32 2025 Msieve v. 1.54 (SVN unknown)
  358. Mon Nov 17 14:47:32 2025 random seeds: 70b8b291 dd55698f
  359. Mon Nov 17 14:47:32 2025 Using 4 OpenMP threads
  360. Mon Nov 17 14:47:32 2025 factoring 413427171048754881865102806315968877428761032508598765621980975702428712941939982404037500091126552871074736311534674370485141310579483243631021892015123570519501731454527718729933099090504538593103147 (201 digits)
  361. Mon Nov 17 14:47:33 2025 no P-1/P+1/ECM available, skipping
  362. Mon Nov 17 14:47:33 2025 commencing number field sieve (201-digit input)
  363. Mon Nov 17 14:47:33 2025 R0: 9040458159278321064602582004939317910007
  364. Mon Nov 17 14:47:33 2025 R1: -1
  365. Mon Nov 17 14:47:33 2025 A0: 1
  366. Mon Nov 17 14:47:33 2025 A1: 1
  367. Mon Nov 17 14:47:33 2025 A2: 1
  368. Mon Nov 17 14:47:33 2025 A3: 1
  369. Mon Nov 17 14:47:33 2025 A4: 1
  370. Mon Nov 17 14:47:33 2025 A5: 1
  371. Mon Nov 17 14:47:33 2025 A6: 1
  372. Mon Nov 17 14:47:33 2025 skew 1.36, size 7.462e-12, alpha 2.428, combined = 5.174e-13 rroots = 0
  373. Mon Nov 17 14:47:33 2025
  374. Mon Nov 17 14:47:33 2025 commencing square root phase
  375. Mon Nov 17 14:47:33 2025 reading relations for dependency 1
  376. Mon Nov 17 14:47:36 2025 read 4503910 cycles
  377. Mon Nov 17 14:47:48 2025 cycles contain 13753634 unique relations
  378. Mon Nov 17 14:54:15 2025 read 13753634 relations
  379. Mon Nov 17 14:55:50 2025 multiplying 13753634 relations
  380. Mon Nov 17 15:00:11 2025 multiply complete, coefficients have about 340.66 million bits
  381. Mon Nov 17 15:00:13 2025 initial square root is modulo 1296109
  382. Mon Nov 17 15:05:05 2025 GCD is 1, no factor found
  383. Mon Nov 17 15:05:05 2025 reading relations for dependency 2
  384. Mon Nov 17 15:05:07 2025 read 4504283 cycles
  385. Mon Nov 17 15:05:16 2025 cycles contain 13756046 unique relations
  386. Mon Nov 17 15:15:04 2025 read 13756046 relations
  387. Mon Nov 17 15:16:37 2025 multiplying 13756046 relations
  388. Mon Nov 17 15:20:12 2025 multiply complete, coefficients have about 340.72 million bits
  389. Mon Nov 17 15:20:15 2025 initial square root is modulo 1298909
  390. Mon Nov 17 15:24:48 2025 GCD is N, no factor found
  391. Mon Nov 17 15:24:48 2025 reading relations for dependency 3
  392. Mon Nov 17 15:24:50 2025 read 4502998 cycles
  393. Mon Nov 17 15:24:59 2025 cycles contain 13755800 unique relations
  394. Mon Nov 17 15:33:59 2025 read 13755800 relations
  395. Mon Nov 17 15:35:25 2025 multiplying 13755800 relations
  396. Mon Nov 17 15:38:57 2025 multiply complete, coefficients have about 340.71 million bits
  397. Mon Nov 17 15:38:59 2025 initial square root is modulo 1298909
  398. Mon Nov 17 15:43:54 2025 sqrtTime: 3381
  399. Mon Nov 17 15:43:54 2025 p61 factor: 7970640233192091563495188894058480320451477442024425952165841
  400. Mon Nov 17 15:43:54 2025 p140 factor: 51868753193391225536153014573304485697704042227770710509400440642528314388395915846923371859220557519873201293756601468944078634170112759867
  401. Mon Nov 17 15:43:54 2025 elapsed time 00:56:22
  402.  
Tags: math
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