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Sep 9th, 2025
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  1. Mon Sep 8 10:19:14 2025
  2. Mon Sep 8 10:19:14 2025
  3. Mon Sep 8 10:19:14 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Sep 8 10:19:14 2025 random seeds: acfa4f7c c6df79b1
  5. Mon Sep 8 10:19:14 2025 factoring 4098101696768227284556341123708094825698852272721954447811932636570096938698947285978860524439966555915736383943640247006399073594877325253855128962951319507737661029304190127368163430520093450377056381643092748813 (214 digits)
  6. Mon Sep 8 10:19:16 2025 searching for 15-digit factors
  7. Mon Sep 8 10:19:17 2025 commencing number field sieve (214-digit input)
  8. Mon Sep 8 10:19:17 2025 R0: 6860831400931104050849211585330328537
  9. Mon Sep 8 10:19:17 2025 R1: -1
  10. Mon Sep 8 10:19:17 2025 A0: -1
  11. Mon Sep 8 10:19:17 2025 A1: 0
  12. Mon Sep 8 10:19:17 2025 A2: 0
  13. Mon Sep 8 10:19:17 2025 A3: 0
  14. Mon Sep 8 10:19:17 2025 A4: 0
  15. Mon Sep 8 10:19:17 2025 A5: 0
  16. Mon Sep 8 10:19:17 2025 A6: 182953
  17. Mon Sep 8 10:19:17 2025 skew 0.17, size 2.188e-11, alpha -0.797, combined = 1.143e-12 rroots = 2
  18. Mon Sep 8 10:19:17 2025
  19. Mon Sep 8 10:19:17 2025 commencing relation filtering
  20. Mon Sep 8 10:19:17 2025 setting target matrix density to 112.0
  21. Mon Sep 8 10:19:17 2025 estimated available RAM is 15938.6 MB
  22. Mon Sep 8 10:19:17 2025 commencing duplicate removal, pass 1
  23. Mon Sep 8 10:35:32 2025 skipped 159 relations with b > 2^32
  24. Mon Sep 8 10:35:32 2025 skipped 4 relations with composite factors
  25. Mon Sep 8 10:35:32 2025 found 4274206 hash collisions in 98737539 relations
  26. Mon Sep 8 10:36:04 2025 added 1219412 free relations
  27. Mon Sep 8 10:36:04 2025 commencing duplicate removal, pass 2
  28. Mon Sep 8 10:36:57 2025 found 0 duplicates and 99956951 unique relations
  29. Mon Sep 8 10:36:57 2025 memory use: 261.2 MB
  30. Mon Sep 8 10:36:57 2025 reading ideals above 79888384
  31. Mon Sep 8 10:36:57 2025 commencing singleton removal, initial pass
  32. Mon Sep 8 10:49:59 2025 memory use: 2756.0 MB
  33. Mon Sep 8 10:49:59 2025 reading all ideals from disk
  34. Mon Sep 8 10:50:04 2025 memory use: 1729.1 MB
  35. Mon Sep 8 10:50:11 2025 commencing in-memory singleton removal
  36. Mon Sep 8 10:50:18 2025 begin with 99956951 relations and 82634405 unique ideals
  37. Mon Sep 8 10:51:53 2025 reduce to 65812862 relations and 45056582 ideals in 16 passes
  38. Mon Sep 8 10:51:53 2025 max relations containing the same ideal: 39
  39. Mon Sep 8 10:52:01 2025 reading ideals above 720000
  40. Mon Sep 8 10:52:01 2025 commencing singleton removal, initial pass
  41. Mon Sep 8 11:04:54 2025 memory use: 1506.0 MB
  42. Mon Sep 8 11:04:54 2025 reading all ideals from disk
  43. Mon Sep 8 11:04:59 2025 memory use: 2474.2 MB
  44. Mon Sep 8 11:05:12 2025 keeping 54051783 ideals with weight <= 200, target excess is 332677
  45. Mon Sep 8 11:05:25 2025 commencing in-memory singleton removal
  46. Mon Sep 8 11:05:35 2025 begin with 65812865 relations and 54051783 unique ideals
  47. Mon Sep 8 11:06:41 2025 reduce to 65809130 relations and 54048041 ideals in 6 passes
  48. Mon Sep 8 11:06:41 2025 max relations containing the same ideal: 200
  49. Mon Sep 8 11:07:39 2025 removing 8948522 relations and 6948522 ideals in 2000000 cliques
  50. Mon Sep 8 11:07:43 2025 commencing in-memory singleton removal
  51. Mon Sep 8 11:07:53 2025 begin with 56860608 relations and 54048041 unique ideals
  52. Mon Sep 8 11:09:11 2025 reduce to 55793489 relations and 45991142 ideals in 8 passes
  53. Mon Sep 8 11:09:11 2025 max relations containing the same ideal: 190
  54. Mon Sep 8 11:10:01 2025 removing 7193480 relations and 5193480 ideals in 2000000 cliques
  55. Mon Sep 8 11:10:05 2025 commencing in-memory singleton removal
  56. Mon Sep 8 11:10:13 2025 begin with 48600009 relations and 45991142 unique ideals
  57. Mon Sep 8 11:11:10 2025 reduce to 47829699 relations and 39999238 ideals in 7 passes
  58. Mon Sep 8 11:11:10 2025 max relations containing the same ideal: 173
  59. Mon Sep 8 11:11:53 2025 removing 6699715 relations and 4699715 ideals in 2000000 cliques
  60. Mon Sep 8 11:11:56 2025 commencing in-memory singleton removal
  61. Mon Sep 8 11:12:03 2025 begin with 41129984 relations and 39999238 unique ideals
  62. Mon Sep 8 11:13:12 2025 reduce to 40390793 relations and 34530697 ideals in 10 passes
  63. Mon Sep 8 11:13:12 2025 max relations containing the same ideal: 156
  64. Mon Sep 8 11:13:48 2025 removing 6479074 relations and 4479074 ideals in 2000000 cliques
  65. Mon Sep 8 11:13:51 2025 commencing in-memory singleton removal
  66. Mon Sep 8 11:13:57 2025 begin with 33911719 relations and 34530697 unique ideals
  67. Mon Sep 8 11:14:34 2025 reduce to 33134418 relations and 29239239 ideals in 7 passes
  68. Mon Sep 8 11:14:34 2025 max relations containing the same ideal: 136
  69. Mon Sep 8 11:15:00 2025 removing 6351048 relations and 4351048 ideals in 2000000 cliques
  70. Mon Sep 8 11:15:03 2025 commencing in-memory singleton removal
  71. Mon Sep 8 11:15:07 2025 begin with 26783370 relations and 29239239 unique ideals
  72. Mon Sep 8 11:15:40 2025 reduce to 25915531 relations and 23972044 ideals in 9 passes
  73. Mon Sep 8 11:15:40 2025 max relations containing the same ideal: 117
  74. Mon Sep 8 11:16:02 2025 removing 5136245 relations and 3578664 ideals in 1557581 cliques
  75. Mon Sep 8 11:16:04 2025 commencing in-memory singleton removal
  76. Mon Sep 8 11:16:06 2025 begin with 20779286 relations and 23972044 unique ideals
  77. Mon Sep 8 11:16:33 2025 reduce to 20067926 relations and 19642526 ideals in 9 passes
  78. Mon Sep 8 11:16:33 2025 max relations containing the same ideal: 97
  79. Mon Sep 8 11:16:49 2025 removing 260715 relations and 221221 ideals in 39494 cliques
  80. Mon Sep 8 11:16:50 2025 commencing in-memory singleton removal
  81. Mon Sep 8 11:16:53 2025 begin with 19807211 relations and 19642526 unique ideals
  82. Mon Sep 8 11:17:06 2025 reduce to 19804810 relations and 19418897 ideals in 5 passes
  83. Mon Sep 8 11:17:06 2025 max relations containing the same ideal: 97
  84. Mon Sep 8 11:17:12 2025 relations with 0 large ideals: 11848
  85. Mon Sep 8 11:17:12 2025 relations with 1 large ideals: 4873
  86. Mon Sep 8 11:17:12 2025 relations with 2 large ideals: 42814
  87. Mon Sep 8 11:17:12 2025 relations with 3 large ideals: 324137
  88. Mon Sep 8 11:17:12 2025 relations with 4 large ideals: 1347251
  89. Mon Sep 8 11:17:12 2025 relations with 5 large ideals: 3318406
  90. Mon Sep 8 11:17:12 2025 relations with 6 large ideals: 5100162
  91. Mon Sep 8 11:17:12 2025 relations with 7+ large ideals: 9655319
  92. Mon Sep 8 11:17:12 2025 commencing 2-way merge
  93. Mon Sep 8 11:17:30 2025 reduce to 12971232 relation sets and 12585319 unique ideals
  94. Mon Sep 8 11:17:30 2025 commencing full merge
  95. Mon Sep 8 11:26:47 2025 memory use: 1725.7 MB
  96. Mon Sep 8 11:26:50 2025 found 5953651 cycles, need 5945519
  97. Mon Sep 8 11:26:54 2025 weight of 5945519 cycles is about 665974370 (112.01/cycle)
  98. Mon Sep 8 11:26:54 2025 distribution of cycle lengths:
  99. Mon Sep 8 11:26:54 2025 1 relations: 258951
  100. Mon Sep 8 11:26:54 2025 2 relations: 386364
  101. Mon Sep 8 11:26:54 2025 3 relations: 450323
  102. Mon Sep 8 11:26:54 2025 4 relations: 460818
  103. Mon Sep 8 11:26:54 2025 5 relations: 465668
  104. Mon Sep 8 11:26:54 2025 6 relations: 454624
  105. Mon Sep 8 11:26:54 2025 7 relations: 437536
  106. Mon Sep 8 11:26:54 2025 8 relations: 411724
  107. Mon Sep 8 11:26:54 2025 9 relations: 381181
  108. Mon Sep 8 11:26:54 2025 10+ relations: 2238330
  109. Mon Sep 8 11:26:54 2025 heaviest cycle: 28 relations
  110. Mon Sep 8 11:26:57 2025 commencing cycle optimization
  111. Mon Sep 8 11:27:24 2025 start with 51376271 relations
  112. Mon Sep 8 11:31:30 2025 pruned 2328652 relations
  113. Mon Sep 8 11:31:30 2025 memory use: 1354.4 MB
  114. Mon Sep 8 11:31:30 2025 distribution of cycle lengths:
  115. Mon Sep 8 11:31:30 2025 1 relations: 258951
  116. Mon Sep 8 11:31:30 2025 2 relations: 396055
  117. Mon Sep 8 11:31:30 2025 3 relations: 469600
  118. Mon Sep 8 11:31:30 2025 4 relations: 480342
  119. Mon Sep 8 11:31:30 2025 5 relations: 488951
  120. Mon Sep 8 11:31:30 2025 6 relations: 475902
  121. Mon Sep 8 11:31:30 2025 7 relations: 459654
  122. Mon Sep 8 11:31:30 2025 8 relations: 429435
  123. Mon Sep 8 11:31:30 2025 9 relations: 396165
  124. Mon Sep 8 11:31:30 2025 10+ relations: 2090464
  125. Mon Sep 8 11:31:30 2025 heaviest cycle: 28 relations
  126. Mon Sep 8 11:31:53 2025 RelProcTime: 4356
  127. Mon Sep 8 11:31:53 2025
  128. Mon Sep 8 11:31:53 2025 commencing linear algebra
  129. Mon Sep 8 11:31:53 2025 using VBITS=512
  130. Mon Sep 8 11:31:54 2025 read 5945519 cycles
  131. Mon Sep 8 11:32:20 2025 cycles contain 19587428 unique relations
  132. Mon Sep 8 11:34:51 2025 read 19587428 relations
  133. Mon Sep 8 11:35:46 2025 using 20 quadratic characters above 4294917295
  134. Mon Sep 8 11:37:53 2025 building initial matrix
  135. Mon Sep 8 11:47:23 2025 memory use: 2504.1 MB
  136. Mon Sep 8 11:47:29 2025 read 5945519 cycles
  137. Mon Sep 8 11:47:31 2025 matrix is 5945342 x 5945519 (2621.8 MB) with weight 758512097 (127.58/col)
  138. Mon Sep 8 11:47:31 2025 sparse part has weight 621893434 (104.60/col)
  139. Mon Sep 8 11:49:42 2025 filtering completed in 2 passes
  140. Mon Sep 8 11:49:44 2025 matrix is 5945275 x 5945438 (2621.8 MB) with weight 758509319 (127.58/col)
  141. Mon Sep 8 11:49:44 2025 sparse part has weight 621892489 (104.60/col)
  142. Mon Sep 8 11:50:28 2025 matrix starts at (0, 0)
  143. Mon Sep 8 11:50:30 2025 matrix is 5945275 x 5945438 (2621.8 MB) with weight 758509319 (127.58/col)
  144. Mon Sep 8 11:50:30 2025 sparse part has weight 621892489 (104.60/col)
  145. Mon Sep 8 11:50:30 2025 saving the first 496 matrix rows for later
  146. Mon Sep 8 11:50:33 2025 matrix includes 512 packed rows
  147. Mon Sep 8 11:50:43 2025 matrix is 5944779 x 5945438 (2470.3 MB) with weight 534383056 (89.88/col)
  148. Mon Sep 8 11:50:43 2025 sparse part has weight 504870914 (84.92/col)
  149. Mon Sep 8 18:10:35 2025
  150. Mon Sep 8 18:10:35 2025
  151. Mon Sep 8 18:10:35 2025 Msieve v. 1.54 (SVN unknown)
  152. Mon Sep 8 18:10:35 2025 random seeds: bd9dec8f 1fdd21f3
  153. Mon Sep 8 18:10:35 2025 factoring 4098101696768227284556341123708094825698852272721954447811932636570096938698947285978860524439966555915736383943640247006399073594877325253855128962951319507737661029304190127368163430520093450377056381643092748813 (214 digits)
  154. Mon Sep 8 18:10:36 2025 no P-1/P+1/ECM available, skipping
  155. Mon Sep 8 18:10:36 2025 commencing number field sieve (214-digit input)
  156. Mon Sep 8 18:10:36 2025 R0: 6860831400931104050849211585330328537
  157. Mon Sep 8 18:10:36 2025 R1: -1
  158. Mon Sep 8 18:10:36 2025 A0: -1
  159. Mon Sep 8 18:10:36 2025 A1: 0
  160. Mon Sep 8 18:10:36 2025 A2: 0
  161. Mon Sep 8 18:10:36 2025 A3: 0
  162. Mon Sep 8 18:10:36 2025 A4: 0
  163. Mon Sep 8 18:10:36 2025 A5: 0
  164. Mon Sep 8 18:10:36 2025 A6: 182953
  165. Mon Sep 8 18:10:36 2025 skew 0.17, size 2.188e-11, alpha -0.797, combined = 1.143e-12 rroots = 2
  166. Mon Sep 8 18:10:36 2025
  167. Mon Sep 8 18:10:36 2025 commencing linear algebra
  168. Mon Sep 8 18:10:36 2025 using VBITS=512
  169. Mon Sep 8 18:10:36 2025 skipping matrix build
  170. Mon Sep 8 18:10:42 2025 matrix starts at (0, 0)
  171. Mon Sep 8 18:10:42 2025 matrix is 5945275 x 5945438 (2621.8 MB) with weight 758509319 (127.58/col)
  172. Mon Sep 8 18:10:42 2025 sparse part has weight 621892489 (104.60/col)
  173. Mon Sep 8 18:10:42 2025 saving the first 496 matrix rows for later
  174. Mon Sep 8 18:10:44 2025 matrix includes 512 packed rows
  175. Mon Sep 8 18:10:48 2025 matrix is 5944779 x 5945438 (2470.3 MB) with weight 534383056 (89.88/col)
  176. Mon Sep 8 18:10:48 2025 sparse part has weight 504870914 (84.92/col)
  177. Mon Sep 8 18:10:48 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  178. Mon Sep 8 18:10:48 2025 selected card has CUDA arch 8.6
  179. Mon Sep 8 18:11:21 2025 commencing Lanczos iteration
  180. Mon Sep 8 18:11:22 2025 memory use: 6845.7 MB
  181. Mon Sep 8 18:11:43 2025 linear algebra at 0.3%, ETA 2h15m
  182. Mon Sep 8 18:11:43 2025 checkpointing every 2720000 dimensions
  183. Mon Sep 8 20:43:01 2025 lanczos halted after 11630 iterations (dim = 5944777)
  184. Mon Sep 8 20:43:56 2025 recovered 31 nontrivial dependencies
  185. Mon Sep 8 20:43:56 2025 BLanczosTime: 9200
  186. Mon Sep 8 20:43:56 2025 elapsed time 02:33:21
  187. Mon Sep 8 20:55:57 2025
  188. Mon Sep 8 20:55:57 2025
  189. Mon Sep 8 20:55:57 2025 Msieve v. 1.54 (SVN Unversioned directory)
  190. Mon Sep 8 20:55:57 2025 random seeds: 306b37b9 6afb8e61
  191. Mon Sep 8 20:55:57 2025 factoring 4098101696768227284556341123708094825698852272721954447811932636570096938698947285978860524439966555915736383943640247006399073594877325253855128962951319507737661029304190127368163430520093450377056381643092748813 (214 digits)
  192. Mon Sep 8 20:55:58 2025 searching for 15-digit factors
  193. Mon Sep 8 20:55:59 2025 commencing number field sieve (214-digit input)
  194. Mon Sep 8 20:55:59 2025 R0: 6860831400931104050849211585330328537
  195. Mon Sep 8 20:55:59 2025 R1: -1
  196. Mon Sep 8 20:55:59 2025 A0: -1
  197. Mon Sep 8 20:55:59 2025 A1: 0
  198. Mon Sep 8 20:55:59 2025 A2: 0
  199. Mon Sep 8 20:55:59 2025 A3: 0
  200. Mon Sep 8 20:55:59 2025 A4: 0
  201. Mon Sep 8 20:55:59 2025 A5: 0
  202. Mon Sep 8 20:55:59 2025 A6: 182953
  203. Mon Sep 8 20:55:59 2025 skew 0.17, size 2.188e-11, alpha -0.797, combined = 1.143e-12 rroots = 2
  204. Mon Sep 8 20:55:59 2025
  205. Mon Sep 8 20:55:59 2025 commencing square root phase
  206. Mon Sep 8 20:55:59 2025 reading relations for dependency 1
  207. Mon Sep 8 20:56:01 2025 read 2972655 cycles
  208. Mon Sep 8 20:56:11 2025 cycles contain 9790726 unique relations
  209. Mon Sep 8 20:57:29 2025 read 9790726 relations
  210. Mon Sep 8 20:58:49 2025 multiplying 9790726 relations
  211. Mon Sep 8 21:16:46 2025 multiply complete, coefficients have about 395.97 million bits
  212. Mon Sep 8 21:16:47 2025 initial square root is modulo 12737371
  213. Mon Sep 8 21:35:06 2025 GCD is N, no factor found
  214. Mon Sep 8 21:35:06 2025 reading relations for dependency 2
  215. Mon Sep 8 21:35:07 2025 read 2973537 cycles
  216. Mon Sep 8 21:35:16 2025 cycles contain 9796211 unique relations
  217. Mon Sep 8 21:36:22 2025 read 9796211 relations
  218. Mon Sep 8 21:36:22 2025 number of relations is not even
  219. Mon Sep 8 21:36:23 2025 reading relations for dependency 3
  220. Mon Sep 8 21:36:24 2025 read 2970385 cycles
  221. Mon Sep 8 21:36:33 2025 cycles contain 9789056 unique relations
  222. Mon Sep 8 21:37:40 2025 read 9789056 relations
  223. Mon Sep 8 21:38:51 2025 multiplying 9789056 relations
  224. Mon Sep 8 21:56:04 2025 multiply complete, coefficients have about 395.89 million bits
  225. Mon Sep 8 21:56:06 2025 initial square root is modulo 12695113
  226. Mon Sep 8 22:15:12 2025 sqrtTime: 4753
  227. Mon Sep 8 22:15:12 2025 p71 factor: 53988550026768629508345353383247936598413366106741300058599920302959209
  228. Mon Sep 8 22:15:12 2025 p143 factor: 75906867191956525588401279145166249052436872547466992164292087069610756036183532018498425599404342754374364590022815502542437587987649682417157
  229. Mon Sep 8 22:15:12 2025 elapsed time 01:19:15
  230.  
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