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Oct 8th, 2025
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  1. Wed Oct 8 10:39:44 2025
  2. Wed Oct 8 10:39:44 2025
  3. Wed Oct 8 10:39:44 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Oct 8 10:39:44 2025 random seeds: 87d2e429 7f06b4a4
  5. Wed Oct 8 10:39:44 2025 factoring 4692030368067355777976824939686201405619018418250906400892533263592128753963596660579809172762293312052743750369563350326313010244549763929002392056339623174324779526499384327230296757353661563179236087129715765920211 (217 digits)
  6. Wed Oct 8 10:39:46 2025 searching for 15-digit factors
  7. Wed Oct 8 10:39:47 2025 commencing number field sieve (217-digit input)
  8. Wed Oct 8 10:39:47 2025 R0: 1165629162115376413290852273042278262621858890
  9. Wed Oct 8 10:39:47 2025 R1: -34141311663663076277917
  10. Wed Oct 8 10:39:47 2025 A0: 1
  11. Wed Oct 8 10:39:47 2025 A1: 3
  12. Wed Oct 8 10:39:47 2025 A2: -3
  13. Wed Oct 8 10:39:47 2025 A3: -4
  14. Wed Oct 8 10:39:47 2025 A4: 1
  15. Wed Oct 8 10:39:47 2025 A5: 1
  16. Wed Oct 8 10:39:47 2025 skew 1.47, size 2.417e-15, alpha 2.379, combined = 1.696e-12 rroots = 5
  17. Wed Oct 8 10:39:47 2025
  18. Wed Oct 8 10:39:47 2025 commencing relation filtering
  19. Wed Oct 8 10:39:47 2025 setting target matrix density to 108.0
  20. Wed Oct 8 10:39:47 2025 estimated available RAM is 15938.6 MB
  21. Wed Oct 8 10:39:47 2025 commencing duplicate removal, pass 1
  22. Wed Oct 8 10:58:25 2025 skipped 14 relations with b > 2^32
  23. Wed Oct 8 10:58:25 2025 found 4790114 hash collisions in 104737249 relations
  24. Wed Oct 8 10:58:38 2025 added 2926300 free relations
  25. Wed Oct 8 10:58:38 2025 commencing duplicate removal, pass 2
  26. Wed Oct 8 10:59:35 2025 found 0 duplicates and 107663549 unique relations
  27. Wed Oct 8 10:59:35 2025 memory use: 261.2 MB
  28. Wed Oct 8 10:59:35 2025 reading ideals above 56033280
  29. Wed Oct 8 10:59:35 2025 commencing singleton removal, initial pass
  30. Wed Oct 8 11:15:50 2025 memory use: 2756.0 MB
  31. Wed Oct 8 11:15:51 2025 reading all ideals from disk
  32. Wed Oct 8 11:15:56 2025 memory use: 2037.5 MB
  33. Wed Oct 8 11:16:06 2025 commencing in-memory singleton removal
  34. Wed Oct 8 11:16:16 2025 begin with 107663549 relations and 86455999 unique ideals
  35. Wed Oct 8 11:17:55 2025 reduce to 76974767 relations and 53101998 ideals in 12 passes
  36. Wed Oct 8 11:17:55 2025 max relations containing the same ideal: 31
  37. Wed Oct 8 11:18:05 2025 reading ideals above 720000
  38. Wed Oct 8 11:18:05 2025 commencing singleton removal, initial pass
  39. Wed Oct 8 11:33:08 2025 memory use: 1506.0 MB
  40. Wed Oct 8 11:33:08 2025 reading all ideals from disk
  41. Wed Oct 8 11:33:16 2025 memory use: 2870.7 MB
  42. Wed Oct 8 11:33:31 2025 keeping 59408432 ideals with weight <= 200, target excess is 373840
  43. Wed Oct 8 11:33:47 2025 commencing in-memory singleton removal
  44. Wed Oct 8 11:33:59 2025 begin with 76974768 relations and 59408432 unique ideals
  45. Wed Oct 8 11:34:27 2025 reduce to 76974765 relations and 59408427 ideals in 2 passes
  46. Wed Oct 8 11:34:27 2025 max relations containing the same ideal: 200
  47. Wed Oct 8 11:35:29 2025 removing 8034511 relations and 6034511 ideals in 2000000 cliques
  48. Wed Oct 8 11:35:34 2025 commencing in-memory singleton removal
  49. Wed Oct 8 11:35:44 2025 begin with 68940254 relations and 59408427 unique ideals
  50. Wed Oct 8 11:37:19 2025 reduce to 68209037 relations and 52618887 ideals in 8 passes
  51. Wed Oct 8 11:37:19 2025 max relations containing the same ideal: 193
  52. Wed Oct 8 11:38:16 2025 removing 6505978 relations and 4505978 ideals in 2000000 cliques
  53. Wed Oct 8 11:38:20 2025 commencing in-memory singleton removal
  54. Wed Oct 8 11:38:30 2025 begin with 61703059 relations and 52618887 unique ideals
  55. Wed Oct 8 11:39:52 2025 reduce to 61187187 relations and 47581491 ideals in 8 passes
  56. Wed Oct 8 11:39:52 2025 max relations containing the same ideal: 181
  57. Wed Oct 8 11:40:43 2025 removing 6091188 relations and 4091188 ideals in 2000000 cliques
  58. Wed Oct 8 11:40:48 2025 commencing in-memory singleton removal
  59. Wed Oct 8 11:40:56 2025 begin with 55095999 relations and 47581491 unique ideals
  60. Wed Oct 8 11:41:58 2025 reduce to 54621482 relations and 43001035 ideals in 7 passes
  61. Wed Oct 8 11:41:58 2025 max relations containing the same ideal: 170
  62. Wed Oct 8 11:42:42 2025 removing 5896050 relations and 3896050 ideals in 2000000 cliques
  63. Wed Oct 8 11:42:46 2025 commencing in-memory singleton removal
  64. Wed Oct 8 11:42:53 2025 begin with 48725432 relations and 43001035 unique ideals
  65. Wed Oct 8 11:43:49 2025 reduce to 48244976 relations and 38608571 ideals in 7 passes
  66. Wed Oct 8 11:43:49 2025 max relations containing the same ideal: 156
  67. Wed Oct 8 11:44:28 2025 removing 5799808 relations and 3799808 ideals in 2000000 cliques
  68. Wed Oct 8 11:44:31 2025 commencing in-memory singleton removal
  69. Wed Oct 8 11:44:37 2025 begin with 42445168 relations and 38608571 unique ideals
  70. Wed Oct 8 11:45:25 2025 reduce to 41933094 relations and 34277720 ideals in 7 passes
  71. Wed Oct 8 11:45:25 2025 max relations containing the same ideal: 144
  72. Wed Oct 8 11:46:01 2025 removing 5765808 relations and 3765808 ideals in 2000000 cliques
  73. Wed Oct 8 11:46:04 2025 commencing in-memory singleton removal
  74. Wed Oct 8 11:46:09 2025 begin with 36167286 relations and 34277720 unique ideals
  75. Wed Oct 8 11:46:47 2025 reduce to 35592531 relations and 29912889 ideals in 7 passes
  76. Wed Oct 8 11:46:47 2025 max relations containing the same ideal: 129
  77. Wed Oct 8 11:47:17 2025 removing 5783689 relations and 3783689 ideals in 2000000 cliques
  78. Wed Oct 8 11:47:20 2025 commencing in-memory singleton removal
  79. Wed Oct 8 11:47:24 2025 begin with 29808842 relations and 29912889 unique ideals
  80. Wed Oct 8 11:48:04 2025 reduce to 29123019 relations and 25409443 ideals in 8 passes
  81. Wed Oct 8 11:48:04 2025 max relations containing the same ideal: 113
  82. Wed Oct 8 11:48:27 2025 removing 5854514 relations and 3854514 ideals in 2000000 cliques
  83. Wed Oct 8 11:48:30 2025 commencing in-memory singleton removal
  84. Wed Oct 8 11:48:34 2025 begin with 23268505 relations and 25409443 unique ideals
  85. Wed Oct 8 11:49:07 2025 reduce to 22392225 relations and 20625248 ideals in 9 passes
  86. Wed Oct 8 11:49:07 2025 max relations containing the same ideal: 95
  87. Wed Oct 8 11:49:27 2025 removing 4320389 relations and 2987067 ideals in 1333322 cliques
  88. Wed Oct 8 11:49:29 2025 commencing in-memory singleton removal
  89. Wed Oct 8 11:49:32 2025 begin with 18071836 relations and 20625248 unique ideals
  90. Wed Oct 8 11:49:55 2025 reduce to 17389548 relations and 16917872 ideals in 8 passes
  91. Wed Oct 8 11:49:55 2025 max relations containing the same ideal: 77
  92. Wed Oct 8 11:50:11 2025 removing 256667 relations and 218646 ideals in 38021 cliques
  93. Wed Oct 8 11:50:12 2025 commencing in-memory singleton removal
  94. Wed Oct 8 11:50:15 2025 begin with 17132881 relations and 16917872 unique ideals
  95. Wed Oct 8 11:50:31 2025 reduce to 17130026 relations and 16696365 ideals in 6 passes
  96. Wed Oct 8 11:50:31 2025 max relations containing the same ideal: 76
  97. Wed Oct 8 11:50:36 2025 relations with 0 large ideals: 30997
  98. Wed Oct 8 11:50:36 2025 relations with 1 large ideals: 4639
  99. Wed Oct 8 11:50:36 2025 relations with 2 large ideals: 54396
  100. Wed Oct 8 11:50:36 2025 relations with 3 large ideals: 381787
  101. Wed Oct 8 11:50:36 2025 relations with 4 large ideals: 1451300
  102. Wed Oct 8 11:50:36 2025 relations with 5 large ideals: 3267394
  103. Wed Oct 8 11:50:36 2025 relations with 6 large ideals: 5143627
  104. Wed Oct 8 11:50:36 2025 relations with 7+ large ideals: 6795886
  105. Wed Oct 8 11:50:36 2025 commencing 2-way merge
  106. Wed Oct 8 11:50:56 2025 reduce to 11125717 relation sets and 10692056 unique ideals
  107. Wed Oct 8 11:50:56 2025 commencing full merge
  108. Wed Oct 8 11:59:08 2025 memory use: 1489.3 MB
  109. Wed Oct 8 11:59:10 2025 found 5075839 cycles, need 5074256
  110. Wed Oct 8 11:59:12 2025 weight of 5074256 cycles is about 548330257 (108.06/cycle)
  111. Wed Oct 8 11:59:12 2025 distribution of cycle lengths:
  112. Wed Oct 8 11:59:12 2025 1 relations: 308900
  113. Wed Oct 8 11:59:12 2025 2 relations: 355801
  114. Wed Oct 8 11:59:12 2025 3 relations: 373556
  115. Wed Oct 8 11:59:12 2025 4 relations: 371362
  116. Wed Oct 8 11:59:12 2025 5 relations: 370034
  117. Wed Oct 8 11:59:12 2025 6 relations: 359748
  118. Wed Oct 8 11:59:12 2025 7 relations: 349652
  119. Wed Oct 8 11:59:12 2025 8 relations: 329076
  120. Wed Oct 8 11:59:12 2025 9 relations: 307806
  121. Wed Oct 8 11:59:12 2025 10+ relations: 1948321
  122. Wed Oct 8 11:59:12 2025 heaviest cycle: 28 relations
  123. Wed Oct 8 11:59:15 2025 commencing cycle optimization
  124. Wed Oct 8 11:59:35 2025 start with 44272941 relations
  125. Wed Oct 8 12:02:17 2025 pruned 2019983 relations
  126. Wed Oct 8 12:02:17 2025 memory use: 1162.0 MB
  127. Wed Oct 8 12:02:18 2025 distribution of cycle lengths:
  128. Wed Oct 8 12:02:18 2025 1 relations: 308900
  129. Wed Oct 8 12:02:18 2025 2 relations: 362557
  130. Wed Oct 8 12:02:18 2025 3 relations: 387162
  131. Wed Oct 8 12:02:18 2025 4 relations: 385397
  132. Wed Oct 8 12:02:18 2025 5 relations: 387689
  133. Wed Oct 8 12:02:18 2025 6 relations: 377290
  134. Wed Oct 8 12:02:18 2025 7 relations: 368070
  135. Wed Oct 8 12:02:18 2025 8 relations: 344800
  136. Wed Oct 8 12:02:18 2025 9 relations: 321593
  137. Wed Oct 8 12:02:18 2025 10+ relations: 1830798
  138. Wed Oct 8 12:02:18 2025 heaviest cycle: 28 relations
  139. Wed Oct 8 12:02:31 2025 RelProcTime: 4964
  140. Wed Oct 8 12:02:31 2025
  141. Wed Oct 8 12:02:31 2025 commencing linear algebra
  142. Wed Oct 8 12:02:31 2025 using VBITS=512
  143. Wed Oct 8 12:02:31 2025 read 5074256 cycles
  144. Wed Oct 8 12:02:47 2025 cycles contain 16877011 unique relations
  145. Wed Oct 8 12:04:53 2025 read 16877011 relations
  146. Wed Oct 8 12:05:32 2025 using 20 quadratic characters above 4294917295
  147. Wed Oct 8 12:07:01 2025 building initial matrix
  148. Wed Oct 8 12:11:18 2025 memory use: 2027.0 MB
  149. Wed Oct 8 12:11:21 2025 read 5074256 cycles
  150. Wed Oct 8 12:11:21 2025 matrix is 5074079 x 5074256 (2171.5 MB) with weight 620545816 (122.29/col)
  151. Wed Oct 8 12:11:21 2025 sparse part has weight 513434335 (101.18/col)
  152. Wed Oct 8 12:12:30 2025 filtering completed in 2 passes
  153. Wed Oct 8 12:12:31 2025 matrix is 5074018 x 5074156 (2171.5 MB) with weight 620543317 (122.29/col)
  154. Wed Oct 8 12:12:31 2025 sparse part has weight 513433675 (101.19/col)
  155. Wed Oct 8 12:12:53 2025 matrix starts at (0, 0)
  156. Wed Oct 8 12:12:54 2025 matrix is 5074018 x 5074156 (2171.5 MB) with weight 620543317 (122.29/col)
  157. Wed Oct 8 12:12:54 2025 sparse part has weight 513433675 (101.19/col)
  158. Wed Oct 8 12:12:54 2025 saving the first 496 matrix rows for later
  159. Wed Oct 8 12:12:56 2025 matrix includes 512 packed rows
  160. Wed Oct 8 12:13:03 2025 matrix is 5073522 x 5074156 (2055.0 MB) with weight 441269819 (86.96/col)
  161. Wed Oct 8 12:13:03 2025 sparse part has weight 416915351 (82.16/col)
  162. Wed Oct 8 12:40:25 2025
  163. Wed Oct 8 12:40:25 2025
  164. Wed Oct 8 12:40:25 2025 Msieve v. 1.54 (SVN unknown)
  165. Wed Oct 8 12:40:25 2025 random seeds: ec34db6a bcc1f149
  166. Wed Oct 8 12:40:25 2025 factoring 4692030368067355777976824939686201405619018418250906400892533263592128753963596660579809172762293312052743750369563350326313010244549763929002392056339623174324779526499384327230296757353661563179236087129715765920211 (217 digits)
  167. Wed Oct 8 12:40:26 2025 no P-1/P+1/ECM available, skipping
  168. Wed Oct 8 12:40:26 2025 commencing number field sieve (217-digit input)
  169. Wed Oct 8 12:40:26 2025 R0: 1165629162115376413290852273042278262621858890
  170. Wed Oct 8 12:40:26 2025 R1: -34141311663663076277917
  171. Wed Oct 8 12:40:26 2025 A0: 1
  172. Wed Oct 8 12:40:26 2025 A1: 3
  173. Wed Oct 8 12:40:26 2025 A2: -3
  174. Wed Oct 8 12:40:26 2025 A3: -4
  175. Wed Oct 8 12:40:26 2025 A4: 1
  176. Wed Oct 8 12:40:26 2025 A5: 1
  177. Wed Oct 8 12:40:26 2025 skew 1.47, size 2.417e-15, alpha 2.379, combined = 1.696e-12 rroots = 5
  178. Wed Oct 8 12:40:26 2025
  179. Wed Oct 8 12:40:26 2025 commencing linear algebra
  180. Wed Oct 8 12:40:26 2025 using VBITS=512
  181. Wed Oct 8 12:40:26 2025 skipping matrix build
  182. Wed Oct 8 12:40:27 2025 matrix starts at (0, 0)
  183. Wed Oct 8 12:40:28 2025 matrix is 5074018 x 5074156 (2171.5 MB) with weight 620543317 (122.29/col)
  184. Wed Oct 8 12:40:28 2025 sparse part has weight 513433675 (101.19/col)
  185. Wed Oct 8 12:40:28 2025 saving the first 496 matrix rows for later
  186. Wed Oct 8 12:40:29 2025 matrix includes 512 packed rows
  187. Wed Oct 8 12:40:33 2025 matrix is 5073522 x 5074156 (2055.0 MB) with weight 441269819 (86.96/col)
  188. Wed Oct 8 12:40:33 2025 sparse part has weight 416915351 (82.16/col)
  189. Wed Oct 8 12:40:33 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  190. Wed Oct 8 12:40:33 2025 selected card has CUDA arch 8.6
  191. Wed Oct 8 12:41:00 2025 commencing Lanczos iteration
  192. Wed Oct 8 12:41:01 2025 memory use: 5697.2 MB
  193. Wed Oct 8 12:41:19 2025 linear algebra at 0.3%, ETA 1h38m
  194. Wed Oct 8 12:41:19 2025 checkpointing every 3180000 dimensions
  195. Wed Oct 8 14:29:00 2025 lanczos halted after 9926 iterations (dim = 5073519)
  196. Wed Oct 8 14:30:02 2025 recovered 32 nontrivial dependencies
  197. Wed Oct 8 14:30:02 2025 BLanczosTime: 6576
  198. Wed Oct 8 14:30:02 2025
  199. Wed Oct 8 14:30:02 2025 commencing square root phase
  200. Wed Oct 8 14:30:02 2025 handling dependencies 1 to 64
  201. Wed Oct 8 14:30:02 2025 reading relations for dependency 1
  202. Wed Oct 8 14:30:03 2025 read 2537562 cycles
  203. Wed Oct 8 14:30:07 2025 cycles contain 8441072 unique relations
  204. Wed Oct 8 14:30:47 2025 read 8441072 relations
  205. Wed Oct 8 14:31:15 2025 multiplying 8441072 relations
  206. Wed Oct 8 14:34:03 2025 multiply complete, coefficients have about 206.50 million bits
  207. Wed Oct 8 14:34:04 2025 initial square root is modulo 25737937
  208. Wed Oct 8 14:37:24 2025 sqrtTime: 442
  209. Wed Oct 8 14:37:24 2025 p104 factor: 17570515374339581707695294866272503879928274945648425754436483955229319040250238098106502131215515832513
  210. Wed Oct 8 14:37:24 2025 p114 factor: 267039996727683571239171791842442442458059461320390804692141808930210136364443530380917655951708878055208562041747
  211. Wed Oct 8 14:37:24 2025 elapsed time 01:56:59
  212.  
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