kyleaskine

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Jan 25th, 2026
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  1. Sun Jan 25 11:10:19 2026
  2. Sun Jan 25 11:10:19 2026
  3. Sun Jan 25 11:10:19 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Jan 25 11:10:19 2026 random seeds: 9a05ba10 f539bea7
  5. Sun Jan 25 11:10:19 2026 Using 8 OpenMP threads
  6. Sun Jan 25 11:10:19 2026 factoring 8272619544274131287727828171627716853417235973570066074849778870017547815676816361503006862767955582825013017289656186534026425728722397430216841995956615043396075507 (166 digits)
  7. Sun Jan 25 11:10:19 2026 searching for 15-digit factors
  8. Sun Jan 25 11:10:19 2026 commencing number field sieve (166-digit input)
  9. Sun Jan 25 11:10:19 2026 R0: 126981988318492626671714839459054591
  10. Sun Jan 25 11:10:19 2026 R1: -1
  11. Sun Jan 25 11:10:19 2026 A0: -502628805631
  12. Sun Jan 25 11:10:19 2026 A1: 0
  13. Sun Jan 25 11:10:19 2026 A2: 0
  14. Sun Jan 25 11:10:19 2026 A3: 0
  15. Sun Jan 25 11:10:19 2026 A4: 0
  16. Sun Jan 25 11:10:19 2026 A5: 0
  17. Sun Jan 25 11:10:19 2026 A6: 1
  18. Sun Jan 25 11:10:19 2026 skew 89.17, size 1.930e-11, alpha -0.527, combined = 1.033e-12 rroots = 2
  19. Sun Jan 25 11:10:19 2026
  20. Sun Jan 25 11:10:19 2026 commencing relation filtering
  21. Sun Jan 25 11:10:19 2026 estimated available RAM is 78540.1 MB
  22. Sun Jan 25 11:10:19 2026 commencing duplicate removal, pass 1
  23. Sun Jan 25 11:10:46 2026 error -1 reading relation 9838550
  24. Sun Jan 25 11:17:43 2026 error -1 reading relation 162683375
  25. Sun Jan 25 11:19:43 2026 error -1 reading relation 204592340
  26. Sun Jan 25 11:20:04 2026 skipped 19 malformed relations
  27. Sun Jan 25 11:20:04 2026 found 41873636 hash collisions in 211449948 relations
  28. Sun Jan 25 11:20:14 2026 added 1221353 free relations
  29. Sun Jan 25 11:20:14 2026 commencing duplicate removal, pass 2
  30. Sun Jan 25 11:22:17 2026 found 43109776 duplicates and 169561525 unique relations
  31. Sun Jan 25 11:22:17 2026 memory use: 1321.5 MB
  32. Sun Jan 25 11:22:17 2026 reading ideals above 720000
  33. Sun Jan 25 11:22:17 2026 commencing singleton removal, initial pass
  34. Sun Jan 25 11:37:16 2026 memory use: 5512.0 MB
  35. Sun Jan 25 11:37:17 2026 reading all ideals from disk
  36. Sun Jan 25 11:37:32 2026 memory use: 7710.8 MB
  37. Sun Jan 25 11:37:48 2026 keeping 163820254 ideals with weight <= 200, target excess is 908598
  38. Sun Jan 25 11:38:06 2026 commencing in-memory singleton removal
  39. Sun Jan 25 11:38:09 2026 begin with 169561525 relations and 163820254 unique ideals
  40. Sun Jan 25 11:38:43 2026 reduce to 95056402 relations and 80100697 ideals in 18 passes
  41. Sun Jan 25 11:38:43 2026 max relations containing the same ideal: 145
  42. Sun Jan 25 11:39:33 2026 removing 11488857 relations and 9488857 ideals in 2000000 cliques
  43. Sun Jan 25 11:39:36 2026 commencing in-memory singleton removal
  44. Sun Jan 25 11:39:38 2026 begin with 83567545 relations and 80100697 unique ideals
  45. Sun Jan 25 11:39:49 2026 reduce to 82462602 relations and 69477117 ideals in 9 passes
  46. Sun Jan 25 11:39:49 2026 max relations containing the same ideal: 136
  47. Sun Jan 25 11:40:31 2026 removing 8756145 relations and 6756145 ideals in 2000000 cliques
  48. Sun Jan 25 11:40:34 2026 commencing in-memory singleton removal
  49. Sun Jan 25 11:40:35 2026 begin with 73706457 relations and 69477117 unique ideals
  50. Sun Jan 25 11:40:48 2026 reduce to 72939102 relations and 61934599 ideals in 10 passes
  51. Sun Jan 25 11:40:48 2026 max relations containing the same ideal: 123
  52. Sun Jan 25 11:41:23 2026 removing 7974814 relations and 5974814 ideals in 2000000 cliques
  53. Sun Jan 25 11:41:25 2026 commencing in-memory singleton removal
  54. Sun Jan 25 11:41:27 2026 begin with 64964288 relations and 61934599 unique ideals
  55. Sun Jan 25 11:41:37 2026 reduce to 64246477 relations and 55223368 ideals in 9 passes
  56. Sun Jan 25 11:41:37 2026 max relations containing the same ideal: 111
  57. Sun Jan 25 11:42:08 2026 removing 7619841 relations and 5619841 ideals in 2000000 cliques
  58. Sun Jan 25 11:42:10 2026 commencing in-memory singleton removal
  59. Sun Jan 25 11:42:12 2026 begin with 56626636 relations and 55223368 unique ideals
  60. Sun Jan 25 11:42:20 2026 reduce to 55884931 relations and 48840541 ideals in 9 passes
  61. Sun Jan 25 11:42:20 2026 max relations containing the same ideal: 102
  62. Sun Jan 25 11:42:48 2026 removing 7444259 relations and 5444259 ideals in 2000000 cliques
  63. Sun Jan 25 11:42:50 2026 commencing in-memory singleton removal
  64. Sun Jan 25 11:42:51 2026 begin with 48440672 relations and 48840541 unique ideals
  65. Sun Jan 25 11:42:58 2026 reduce to 47621849 relations and 42550910 ideals in 8 passes
  66. Sun Jan 25 11:42:58 2026 max relations containing the same ideal: 93
  67. Sun Jan 25 11:43:24 2026 removing 7390244 relations and 5390244 ideals in 2000000 cliques
  68. Sun Jan 25 11:43:26 2026 commencing in-memory singleton removal
  69. Sun Jan 25 11:43:26 2026 begin with 40231605 relations and 42550910 unique ideals
  70. Sun Jan 25 11:43:31 2026 reduce to 39261665 relations and 36153832 ideals in 9 passes
  71. Sun Jan 25 11:43:31 2026 max relations containing the same ideal: 80
  72. Sun Jan 25 11:43:50 2026 removing 7452256 relations and 5452256 ideals in 2000000 cliques
  73. Sun Jan 25 11:43:53 2026 commencing in-memory singleton removal
  74. Sun Jan 25 11:43:53 2026 begin with 31809409 relations and 36153832 unique ideals
  75. Sun Jan 25 11:43:57 2026 reduce to 30543328 relations and 29376440 ideals in 9 passes
  76. Sun Jan 25 11:43:57 2026 max relations containing the same ideal: 69
  77. Sun Jan 25 11:44:14 2026 removing 833452 relations and 720538 ideals in 112914 cliques
  78. Sun Jan 25 11:44:16 2026 commencing in-memory singleton removal
  79. Sun Jan 25 11:44:16 2026 begin with 29709876 relations and 29376440 unique ideals
  80. Sun Jan 25 11:44:19 2026 reduce to 29691571 relations and 28637525 ideals in 7 passes
  81. Sun Jan 25 11:44:19 2026 max relations containing the same ideal: 69
  82. Sun Jan 25 11:44:22 2026 relations with 0 large ideals: 32886
  83. Sun Jan 25 11:44:22 2026 relations with 1 large ideals: 50247
  84. Sun Jan 25 11:44:22 2026 relations with 2 large ideals: 425165
  85. Sun Jan 25 11:44:22 2026 relations with 3 large ideals: 1926800
  86. Sun Jan 25 11:44:22 2026 relations with 4 large ideals: 5008706
  87. Sun Jan 25 11:44:22 2026 relations with 5 large ideals: 7855498
  88. Sun Jan 25 11:44:22 2026 relations with 6 large ideals: 7577902
  89. Sun Jan 25 11:44:22 2026 relations with 7+ large ideals: 6814367
  90. Sun Jan 25 11:44:22 2026 commencing 2-way merge
  91. Sun Jan 25 11:44:44 2026 reduce to 17958946 relation sets and 16904900 unique ideals
  92. Sun Jan 25 11:44:44 2026 commencing full merge
  93. Sun Jan 25 11:51:04 2026 memory use: 1938.1 MB
  94. Sun Jan 25 11:51:07 2026 found 8461322 cycles, need 8335100
  95. Sun Jan 25 11:51:09 2026 weight of 8335100 cycles is about 750546478 (90.05/cycle)
  96. Sun Jan 25 11:51:09 2026 distribution of cycle lengths:
  97. Sun Jan 25 11:51:09 2026 1 relations: 801618
  98. Sun Jan 25 11:51:09 2026 2 relations: 734156
  99. Sun Jan 25 11:51:09 2026 3 relations: 737440
  100. Sun Jan 25 11:51:09 2026 4 relations: 707842
  101. Sun Jan 25 11:51:09 2026 5 relations: 691758
  102. Sun Jan 25 11:51:09 2026 6 relations: 658705
  103. Sun Jan 25 11:51:09 2026 7 relations: 613220
  104. Sun Jan 25 11:51:09 2026 8 relations: 555026
  105. Sun Jan 25 11:51:09 2026 9 relations: 500265
  106. Sun Jan 25 11:51:09 2026 10+ relations: 2335070
  107. Sun Jan 25 11:51:09 2026 heaviest cycle: 25 relations
  108. Sun Jan 25 11:51:13 2026 commencing cycle optimization
  109. Sun Jan 25 11:51:33 2026 start with 59096430 relations
  110. Sun Jan 25 11:53:45 2026 pruned 1763559 relations
  111. Sun Jan 25 11:53:46 2026 memory use: 1804.8 MB
  112. Sun Jan 25 11:53:46 2026 distribution of cycle lengths:
  113. Sun Jan 25 11:53:46 2026 1 relations: 801618
  114. Sun Jan 25 11:53:46 2026 2 relations: 750729
  115. Sun Jan 25 11:53:46 2026 3 relations: 763172
  116. Sun Jan 25 11:53:46 2026 4 relations: 729479
  117. Sun Jan 25 11:53:46 2026 5 relations: 715625
  118. Sun Jan 25 11:53:46 2026 6 relations: 677812
  119. Sun Jan 25 11:53:46 2026 7 relations: 630619
  120. Sun Jan 25 11:53:46 2026 8 relations: 567181
  121. Sun Jan 25 11:53:46 2026 9 relations: 508572
  122. Sun Jan 25 11:53:46 2026 10+ relations: 2190293
  123. Sun Jan 25 11:53:46 2026 heaviest cycle: 25 relations
  124. Sun Jan 25 11:54:06 2026 RelProcTime: 2627
  125. Sun Jan 25 11:54:06 2026 elapsed time 00:43:47
  126. Sun Jan 25 12:45:56 2026
  127. Sun Jan 25 12:45:56 2026
  128. Sun Jan 25 12:45:56 2026 Msieve v. 1.54 (SVN Unversioned directory)
  129. Sun Jan 25 12:45:56 2026 random seeds: 1a4c5f55 7d4d787a
  130. Sun Jan 25 12:45:56 2026 Using 8 OpenMP threads
  131. Sun Jan 25 12:45:56 2026 factoring 8272619544274131287727828171627716853417235973570066074849778870017547815676816361503006862767955582825013017289656186534026425728722397430216841995956615043396075507 (166 digits)
  132. Sun Jan 25 12:45:57 2026 searching for 15-digit factors
  133. Sun Jan 25 12:45:57 2026 commencing number field sieve (166-digit input)
  134. Sun Jan 25 12:45:57 2026 R0: 126981988318492626671714839459054591
  135. Sun Jan 25 12:45:57 2026 R1: -1
  136. Sun Jan 25 12:45:57 2026 A0: -502628805631
  137. Sun Jan 25 12:45:57 2026 A1: 0
  138. Sun Jan 25 12:45:57 2026 A2: 0
  139. Sun Jan 25 12:45:57 2026 A3: 0
  140. Sun Jan 25 12:45:57 2026 A4: 0
  141. Sun Jan 25 12:45:57 2026 A5: 0
  142. Sun Jan 25 12:45:57 2026 A6: 1
  143. Sun Jan 25 12:45:57 2026 skew 89.17, size 1.930e-11, alpha -0.527, combined = 1.033e-12 rroots = 2
  144. Sun Jan 25 12:45:57 2026
  145. Sun Jan 25 12:45:57 2026 commencing linear algebra
  146. Sun Jan 25 12:45:57 2026 using VBITS=256
  147. Sun Jan 25 12:45:57 2026 stopping after matrix build
  148. Sun Jan 25 12:45:57 2026 read 8335100 cycles
  149. Sun Jan 25 12:46:08 2026 cycles contain 28931502 unique relations
  150. Sun Jan 25 12:46:40 2026 read 28931502 relations
  151. Sun Jan 25 12:46:48 2026 using 20 quadratic characters above 4294917295
  152. Sun Jan 25 12:46:59 2026 building initial matrix
  153. Sun Jan 25 12:51:23 2026 memory use: 3567.7 MB
  154. Sun Jan 25 12:51:26 2026 read 8335100 cycles
  155. Sun Jan 25 12:51:28 2026 matrix is 8334917 x 8335100 (3083.0 MB) with weight 904732548 (108.54/col)
  156. Sun Jan 25 12:51:28 2026 sparse part has weight 716495198 (85.96/col)
  157. Sun Jan 25 12:53:01 2026 filtering completed in 2 passes
  158. Sun Jan 25 12:53:03 2026 matrix is 8329373 x 8329547 (3082.5 MB) with weight 904527673 (108.59/col)
  159. Sun Jan 25 12:53:03 2026 sparse part has weight 716421233 (86.01/col)
  160. Sun Jan 25 12:53:22 2026 BLanczosTime: 445
  161. Sun Jan 25 12:53:22 2026 elapsed time 00:07:26
  162. Sun Jan 25 13:22:46 2026
  163. Sun Jan 25 13:22:46 2026
  164. Sun Jan 25 13:22:46 2026 Msieve v. 1.54 (SVN unknown)
  165. Sun Jan 25 13:22:46 2026 random seeds: b6eb5f83 34f52fc7
  166. Sun Jan 25 13:22:46 2026 Using 4 OpenMP threads
  167. Sun Jan 25 13:22:46 2026 factoring 8272619544274131287727828171627716853417235973570066074849778870017547815676816361503006862767955582825013017289656186534026425728722397430216841995956615043396075507 (166 digits)
  168. Sun Jan 25 13:22:46 2026 no P-1/P+1/ECM available, skipping
  169. Sun Jan 25 13:22:46 2026 commencing number field sieve (166-digit input)
  170. Sun Jan 25 13:22:46 2026 R0: 126981988318492626671714839459054591
  171. Sun Jan 25 13:22:46 2026 R1: -1
  172. Sun Jan 25 13:22:46 2026 A0: -502628805631
  173. Sun Jan 25 13:22:46 2026 A1: 0
  174. Sun Jan 25 13:22:46 2026 A2: 0
  175. Sun Jan 25 13:22:46 2026 A3: 0
  176. Sun Jan 25 13:22:46 2026 A4: 0
  177. Sun Jan 25 13:22:46 2026 A5: 0
  178. Sun Jan 25 13:22:46 2026 A6: 1
  179. Sun Jan 25 13:22:46 2026 skew 89.17, size 1.930e-11, alpha -0.527, combined = 1.033e-12 rroots = 2
  180. Sun Jan 25 13:22:46 2026
  181. Sun Jan 25 13:22:46 2026 commencing linear algebra
  182. Sun Jan 25 13:22:46 2026 using VBITS=256
  183. Sun Jan 25 13:22:46 2026 skipping matrix build
  184. Sun Jan 25 13:22:56 2026 matrix starts at (0, 0)
  185. Sun Jan 25 13:22:58 2026 matrix is 8329373 x 8329547 (3082.5 MB) with weight 904527673 (108.59/col)
  186. Sun Jan 25 13:22:58 2026 sparse part has weight 716421233 (86.01/col)
  187. Sun Jan 25 13:22:58 2026 saving the first 240 matrix rows for later
  188. Sun Jan 25 13:23:00 2026 matrix includes 256 packed rows
  189. Sun Jan 25 13:23:04 2026 matrix is 8329133 x 8329547 (2854.5 MB) with weight 649820836 (78.01/col)
  190. Sun Jan 25 13:23:04 2026 sparse part has weight 615007205 (73.83/col)
  191. Sun Jan 25 13:23:04 2026 using GPU 0 (NVIDIA GeForce RTX 5060 Ti)
  192. Sun Jan 25 13:23:04 2026 selected card has CUDA arch 12.0
  193. Sun Jan 25 13:24:21 2026 commencing Lanczos iteration
  194. Sun Jan 25 13:24:21 2026 memory use: 6789.3 MB
  195. Sun Jan 25 13:24:56 2026 linear algebra at 0.4%, ETA 2h38m
  196. Sun Jan 25 13:25:50 2026 checking every 50000 dimensions, checkpointing every 3150000 dimensions
  197. Sun Jan 25 16:04:09 2026 lanczos halted after 32634 iterations (dim = 8329131)
  198. Sun Jan 25 16:05:29 2026 recovered 35 nontrivial dependencies
  199. Sun Jan 25 16:05:32 2026 BLanczosTime: 9766
  200. Sun Jan 25 16:05:32 2026 elapsed time 02:42:46
  201. Sun Jan 25 16:25:44 2026
  202. Sun Jan 25 16:25:44 2026
  203. Sun Jan 25 16:25:44 2026 Msieve v. 1.54 (SVN Unversioned directory)
  204. Sun Jan 25 16:25:44 2026 random seeds: ab5f9665 0f388c77
  205. Sun Jan 25 16:25:44 2026 Using 8 OpenMP threads
  206. Sun Jan 25 16:25:44 2026 factoring 8272619544274131287727828171627716853417235973570066074849778870017547815676816361503006862767955582825013017289656186534026425728722397430216841995956615043396075507 (166 digits)
  207. Sun Jan 25 16:25:45 2026 searching for 15-digit factors
  208. Sun Jan 25 16:25:45 2026 commencing number field sieve (166-digit input)
  209. Sun Jan 25 16:25:45 2026 R0: 126981988318492626671714839459054591
  210. Sun Jan 25 16:25:45 2026 R1: -1
  211. Sun Jan 25 16:25:45 2026 A0: -502628805631
  212. Sun Jan 25 16:25:45 2026 A1: 0
  213. Sun Jan 25 16:25:45 2026 A2: 0
  214. Sun Jan 25 16:25:45 2026 A3: 0
  215. Sun Jan 25 16:25:45 2026 A4: 0
  216. Sun Jan 25 16:25:45 2026 A5: 0
  217. Sun Jan 25 16:25:45 2026 A6: 1
  218. Sun Jan 25 16:25:45 2026 skew 89.17, size 1.930e-11, alpha -0.527, combined = 1.033e-12 rroots = 2
  219. Sun Jan 25 16:25:45 2026
  220. Sun Jan 25 16:25:45 2026 commencing square root phase
  221. Sun Jan 25 16:25:45 2026 reading relations for dependency 1
  222. Sun Jan 25 16:25:48 2026 read 4165497 cycles
  223. Sun Jan 25 16:25:58 2026 cycles contain 14469160 unique relations
  224. Sun Jan 25 16:28:47 2026 read 14469160 relations
  225. Sun Jan 25 16:29:33 2026 multiplying 14469160 relations
  226. Sun Jan 25 16:30:26 2026 multiply complete, coefficients have about 394.33 million bits
  227. Sun Jan 25 16:30:26 2026 initial square root is modulo 11899837
  228. Sun Jan 25 16:32:03 2026 sqrtTime: 378
  229. Sun Jan 25 16:32:03 2026 p70 factor: 1829855036712885749765231617606525152551833950289777499423901574618117
  230. Sun Jan 25 16:32:03 2026 p97 factor: 4520915251917931289470322143330681149224081055189507169175761008662846543885997546991633226507671
  231. Sun Jan 25 16:32:03 2026 elapsed time 00:06:19
  232.  
Tags: math
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