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  1. Thu Jan 15 08:41:18 2026
  2. Thu Jan 15 08:41:18 2026
  3. Thu Jan 15 08:41:18 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Jan 15 08:41:18 2026 random seeds: 8762d9f7 62d58d1f
  5. Thu Jan 15 08:41:18 2026 Using 8 OpenMP threads
  6. Thu Jan 15 08:41:18 2026 factoring 122985851464224763858681737591892649303251238609255086006731960653666221368090441866466878081318443947112168557861103506146761223545761821938658973815323763132753715497550997784713742904470875016974312830168876984664458222581280967 (231 digits)
  7. Thu Jan 15 08:41:18 2026 searching for 15-digit factors
  8. Thu Jan 15 08:41:19 2026 commencing number field sieve (231-digit input)
  9. Thu Jan 15 08:41:19 2026 R0: 223002222844520031445528802529671949761
  10. Thu Jan 15 08:41:19 2026 R1: -1
  11. Thu Jan 15 08:41:19 2026 A0: 1
  12. Thu Jan 15 08:41:19 2026 A1: 1
  13. Thu Jan 15 08:41:19 2026 A2: 1
  14. Thu Jan 15 08:41:19 2026 A3: 1
  15. Thu Jan 15 08:41:19 2026 A4: 1
  16. Thu Jan 15 08:41:19 2026 A5: 1
  17. Thu Jan 15 08:41:19 2026 A6: 1
  18. Thu Jan 15 08:41:19 2026 skew 1.35, size 2.149e-11, alpha 2.428, combined = 1.119e-12 rroots = 0
  19. Thu Jan 15 08:41:19 2026
  20. Thu Jan 15 08:41:19 2026 commencing relation filtering
  21. Thu Jan 15 08:41:19 2026 estimated available RAM is 78540.1 MB
  22. Thu Jan 15 08:41:19 2026 commencing duplicate removal, pass 1
  23. Thu Jan 15 08:48:07 2026 error -1 reading relation 125622844
  24. Thu Jan 15 08:48:21 2026 error -1 reading relation 129530439
  25. Thu Jan 15 08:49:01 2026 error -1 reading relation 140662284
  26. Thu Jan 15 08:51:35 2026 skipped 6 relations with b > 2^32
  27. Thu Jan 15 08:51:35 2026 skipped 59 malformed relations
  28. Thu Jan 15 08:51:35 2026 found 32315399 hash collisions in 187263965 relations
  29. Thu Jan 15 08:51:40 2026 added 2438534 free relations
  30. Thu Jan 15 08:51:40 2026 commencing duplicate removal, pass 2
  31. Thu Jan 15 08:53:18 2026 found 30790922 duplicates and 158911577 unique relations
  32. Thu Jan 15 08:53:18 2026 memory use: 852.8 MB
  33. Thu Jan 15 08:53:19 2026 reading ideals above 720000
  34. Thu Jan 15 08:53:19 2026 commencing singleton removal, initial pass
  35. Thu Jan 15 09:06:02 2026 memory use: 3012.0 MB
  36. Thu Jan 15 09:06:03 2026 reading all ideals from disk
  37. Thu Jan 15 09:06:21 2026 memory use: 7191.9 MB
  38. Thu Jan 15 09:06:39 2026 keeping 152463001 ideals with weight <= 200, target excess is 818081
  39. Thu Jan 15 09:06:51 2026 commencing in-memory singleton removal
  40. Thu Jan 15 09:06:53 2026 begin with 158911577 relations and 152463001 unique ideals
  41. Thu Jan 15 09:07:11 2026 reduce to 84284870 relations and 67871112 ideals in 15 passes
  42. Thu Jan 15 09:07:11 2026 max relations containing the same ideal: 138
  43. Thu Jan 15 09:07:38 2026 removing 10299032 relations and 8299032 ideals in 2000000 cliques
  44. Thu Jan 15 09:07:40 2026 commencing in-memory singleton removal
  45. Thu Jan 15 09:07:42 2026 begin with 73985838 relations and 67871112 unique ideals
  46. Thu Jan 15 09:07:48 2026 reduce to 72985957 relations and 58542149 ideals in 9 passes
  47. Thu Jan 15 09:07:48 2026 max relations containing the same ideal: 125
  48. Thu Jan 15 09:08:11 2026 removing 8058074 relations and 6058074 ideals in 2000000 cliques
  49. Thu Jan 15 09:08:14 2026 commencing in-memory singleton removal
  50. Thu Jan 15 09:08:14 2026 begin with 64927883 relations and 58542149 unique ideals
  51. Thu Jan 15 09:08:20 2026 reduce to 64236364 relations and 51773298 ideals in 8 passes
  52. Thu Jan 15 09:08:20 2026 max relations containing the same ideal: 115
  53. Thu Jan 15 09:08:42 2026 removing 7348777 relations and 5348777 ideals in 2000000 cliques
  54. Thu Jan 15 09:08:44 2026 commencing in-memory singleton removal
  55. Thu Jan 15 09:08:45 2026 begin with 56887587 relations and 51773298 unique ideals
  56. Thu Jan 15 09:08:50 2026 reduce to 56250821 relations and 45769034 ideals in 8 passes
  57. Thu Jan 15 09:08:50 2026 max relations containing the same ideal: 107
  58. Thu Jan 15 09:09:08 2026 removing 6993113 relations and 4993113 ideals in 2000000 cliques
  59. Thu Jan 15 09:09:10 2026 commencing in-memory singleton removal
  60. Thu Jan 15 09:09:10 2026 begin with 49257708 relations and 45769034 unique ideals
  61. Thu Jan 15 09:09:14 2026 reduce to 48618251 relations and 40115520 ideals in 7 passes
  62. Thu Jan 15 09:09:14 2026 max relations containing the same ideal: 97
  63. Thu Jan 15 09:09:29 2026 removing 6784096 relations and 4784096 ideals in 2000000 cliques
  64. Thu Jan 15 09:09:31 2026 commencing in-memory singleton removal
  65. Thu Jan 15 09:09:31 2026 begin with 41834155 relations and 40115520 unique ideals
  66. Thu Jan 15 09:09:35 2026 reduce to 41156613 relations and 34628763 ideals in 8 passes
  67. Thu Jan 15 09:09:35 2026 max relations containing the same ideal: 83
  68. Thu Jan 15 09:09:48 2026 removing 6660516 relations and 4660516 ideals in 2000000 cliques
  69. Thu Jan 15 09:09:50 2026 commencing in-memory singleton removal
  70. Thu Jan 15 09:09:50 2026 begin with 34496097 relations and 34628763 unique ideals
  71. Thu Jan 15 09:09:52 2026 reduce to 33736701 relations and 29175712 ideals in 8 passes
  72. Thu Jan 15 09:09:52 2026 max relations containing the same ideal: 74
  73. Thu Jan 15 09:10:03 2026 removing 6597620 relations and 4597620 ideals in 2000000 cliques
  74. Thu Jan 15 09:10:05 2026 commencing in-memory singleton removal
  75. Thu Jan 15 09:10:05 2026 begin with 27139081 relations and 29175712 unique ideals
  76. Thu Jan 15 09:10:07 2026 reduce to 26240332 relations and 23631319 ideals in 9 passes
  77. Thu Jan 15 09:10:07 2026 max relations containing the same ideal: 62
  78. Thu Jan 15 09:10:16 2026 removing 5666382 relations and 4006343 ideals in 1660039 cliques
  79. Thu Jan 15 09:10:17 2026 commencing in-memory singleton removal
  80. Thu Jan 15 09:10:18 2026 begin with 20573950 relations and 23631319 unique ideals
  81. Thu Jan 15 09:10:19 2026 reduce to 19707942 relations and 18708274 ideals in 9 passes
  82. Thu Jan 15 09:10:19 2026 max relations containing the same ideal: 55
  83. Thu Jan 15 09:10:26 2026 removing 346345 relations and 295651 ideals in 50694 cliques
  84. Thu Jan 15 09:10:26 2026 commencing in-memory singleton removal
  85. Thu Jan 15 09:10:27 2026 begin with 19361597 relations and 18708274 unique ideals
  86. Thu Jan 15 09:10:27 2026 reduce to 19357320 relations and 18408333 ideals in 6 passes
  87. Thu Jan 15 09:10:27 2026 max relations containing the same ideal: 55
  88. Thu Jan 15 09:10:29 2026 relations with 0 large ideals: 56782
  89. Thu Jan 15 09:10:29 2026 relations with 1 large ideals: 27312
  90. Thu Jan 15 09:10:29 2026 relations with 2 large ideals: 304946
  91. Thu Jan 15 09:10:29 2026 relations with 3 large ideals: 1471640
  92. Thu Jan 15 09:10:29 2026 relations with 4 large ideals: 3670331
  93. Thu Jan 15 09:10:29 2026 relations with 5 large ideals: 5263091
  94. Thu Jan 15 09:10:29 2026 relations with 6 large ideals: 4557131
  95. Thu Jan 15 09:10:29 2026 relations with 7+ large ideals: 4006087
  96. Thu Jan 15 09:10:29 2026 commencing 2-way merge
  97. Thu Jan 15 09:10:37 2026 reduce to 12014078 relation sets and 11065091 unique ideals
  98. Thu Jan 15 09:10:37 2026 commencing full merge
  99. Thu Jan 15 09:14:28 2026 memory use: 1498.3 MB
  100. Thu Jan 15 09:14:29 2026 found 5943283 cycles, need 5827291
  101. Thu Jan 15 09:14:31 2026 weight of 5827291 cycles is about 524458329 (90.00/cycle)
  102. Thu Jan 15 09:14:31 2026 distribution of cycle lengths:
  103. Thu Jan 15 09:14:31 2026 1 relations: 453419
  104. Thu Jan 15 09:14:31 2026 2 relations: 495097
  105. Thu Jan 15 09:14:31 2026 3 relations: 507586
  106. Thu Jan 15 09:14:31 2026 4 relations: 504335
  107. Thu Jan 15 09:14:31 2026 5 relations: 494609
  108. Thu Jan 15 09:14:31 2026 6 relations: 477595
  109. Thu Jan 15 09:14:31 2026 7 relations: 449922
  110. Thu Jan 15 09:14:31 2026 8 relations: 412812
  111. Thu Jan 15 09:14:31 2026 9 relations: 369155
  112. Thu Jan 15 09:14:31 2026 10+ relations: 1662761
  113. Thu Jan 15 09:14:31 2026 heaviest cycle: 25 relations
  114. Thu Jan 15 09:14:33 2026 commencing cycle optimization
  115. Thu Jan 15 09:14:42 2026 start with 42013175 relations
  116. Thu Jan 15 09:15:49 2026 pruned 1431161 relations
  117. Thu Jan 15 09:15:49 2026 memory use: 1220.9 MB
  118. Thu Jan 15 09:15:49 2026 distribution of cycle lengths:
  119. Thu Jan 15 09:15:49 2026 1 relations: 453419
  120. Thu Jan 15 09:15:49 2026 2 relations: 504326
  121. Thu Jan 15 09:15:49 2026 3 relations: 525189
  122. Thu Jan 15 09:15:49 2026 4 relations: 521355
  123. Thu Jan 15 09:15:49 2026 5 relations: 515403
  124. Thu Jan 15 09:15:49 2026 6 relations: 495189
  125. Thu Jan 15 09:15:49 2026 7 relations: 467418
  126. Thu Jan 15 09:15:49 2026 8 relations: 425492
  127. Thu Jan 15 09:15:49 2026 9 relations: 378819
  128. Thu Jan 15 09:15:49 2026 10+ relations: 1540681
  129. Thu Jan 15 09:15:49 2026 heaviest cycle: 25 relations
  130. Thu Jan 15 09:15:57 2026 RelProcTime: 2078
  131. Thu Jan 15 09:15:57 2026 elapsed time 00:34:39
  132. Thu Jan 15 09:16:10 2026
  133. Thu Jan 15 09:16:10 2026
  134. Thu Jan 15 09:16:10 2026 Msieve v. 1.54 (SVN Unversioned directory)
  135. Thu Jan 15 09:16:10 2026 random seeds: 7514044f df9b030c
  136. Thu Jan 15 09:16:10 2026 Using 8 OpenMP threads
  137. Thu Jan 15 09:16:10 2026 factoring 122985851464224763858681737591892649303251238609255086006731960653666221368090441866466878081318443947112168557861103506146761223545761821938658973815323763132753715497550997784713742904470875016974312830168876984664458222581280967 (231 digits)
  138. Thu Jan 15 09:16:11 2026 searching for 15-digit factors
  139. Thu Jan 15 09:16:11 2026 commencing number field sieve (231-digit input)
  140. Thu Jan 15 09:16:11 2026 R0: 223002222844520031445528802529671949761
  141. Thu Jan 15 09:16:11 2026 R1: -1
  142. Thu Jan 15 09:16:11 2026 A0: 1
  143. Thu Jan 15 09:16:11 2026 A1: 1
  144. Thu Jan 15 09:16:11 2026 A2: 1
  145. Thu Jan 15 09:16:11 2026 A3: 1
  146. Thu Jan 15 09:16:11 2026 A4: 1
  147. Thu Jan 15 09:16:11 2026 A5: 1
  148. Thu Jan 15 09:16:11 2026 A6: 1
  149. Thu Jan 15 09:16:11 2026 skew 1.35, size 2.149e-11, alpha 2.428, combined = 1.119e-12 rroots = 0
  150. Thu Jan 15 09:16:11 2026
  151. Thu Jan 15 09:16:11 2026 commencing linear algebra
  152. Thu Jan 15 09:16:11 2026 using VBITS=256
  153. Thu Jan 15 09:16:11 2026 read 5827291 cycles
  154. Thu Jan 15 09:16:18 2026 cycles contain 18780793 unique relations
  155. Thu Jan 15 09:16:42 2026 read 18780793 relations
  156. Thu Jan 15 09:16:47 2026 using 20 quadratic characters above 4294917295
  157. Thu Jan 15 09:16:54 2026 building initial matrix
  158. Thu Jan 15 09:19:26 2026 memory use: 2312.3 MB
  159. Thu Jan 15 09:19:28 2026 read 5827291 cycles
  160. Thu Jan 15 09:19:28 2026 matrix is 5827110 x 5827291 (2150.5 MB) with weight 614882077 (105.52/col)
  161. Thu Jan 15 09:19:28 2026 sparse part has weight 499629528 (85.74/col)
  162. Thu Jan 15 09:20:11 2026 filtering completed in 2 passes
  163. Thu Jan 15 09:20:12 2026 matrix is 5825410 x 5825578 (2150.3 MB) with weight 614813430 (105.54/col)
  164. Thu Jan 15 09:20:12 2026 sparse part has weight 499594905 (85.76/col)
  165. Thu Jan 15 09:20:21 2026 matrix starts at (0, 0)
  166. Thu Jan 15 09:20:21 2026 matrix is 5825410 x 5825578 (2150.3 MB) with weight 614813430 (105.54/col)
  167. Thu Jan 15 09:20:21 2026 sparse part has weight 499594905 (85.76/col)
  168. Thu Jan 15 09:20:21 2026 saving the first 240 matrix rows for later
  169. Thu Jan 15 09:20:22 2026 matrix includes 256 packed rows
  170. Thu Jan 15 09:20:23 2026 matrix is 5825170 x 5825578 (1994.6 MB) with weight 453963237 (77.93/col)
  171. Thu Jan 15 09:20:23 2026 sparse part has weight 429654288 (73.75/col)
  172. Thu Jan 15 09:20:23 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  173. Thu Jan 15 09:20:23 2026 selected card has CUDA arch 12.0
  174. Thu Jan 15 09:20:45 2026 commencing Lanczos iteration
  175. Thu Jan 15 09:20:48 2026 memory use: 4744.7 MB
  176. Thu Jan 15 09:21:02 2026 linear algebra at 0.5%, ETA 0h44m
  177. Thu Jan 15 09:21:23 2026 checking every 130000 dimensions, checkpointing every 7930000 dimensions
  178. Thu Jan 15 10:05:17 2026 lanczos halted after 22824 iterations (dim = 5825169)
  179. Thu Jan 15 10:05:43 2026 recovered 37 nontrivial dependencies
  180. Thu Jan 15 10:05:44 2026 BLanczosTime: 2973
  181. Thu Jan 15 10:05:44 2026 elapsed time 00:49:34
  182. Thu Jan 15 10:06:03 2026
  183. Thu Jan 15 10:06:03 2026
  184. Thu Jan 15 10:06:03 2026 Msieve v. 1.54 (SVN Unversioned directory)
  185. Thu Jan 15 10:06:03 2026 random seeds: e85d092b 21be2c3c
  186. Thu Jan 15 10:06:03 2026 Using 8 OpenMP threads
  187. Thu Jan 15 10:06:03 2026 factoring 122985851464224763858681737591892649303251238609255086006731960653666221368090441866466878081318443947112168557861103506146761223545761821938658973815323763132753715497550997784713742904470875016974312830168876984664458222581280967 (231 digits)
  188. Thu Jan 15 10:06:04 2026 searching for 15-digit factors
  189. Thu Jan 15 10:06:04 2026 commencing number field sieve (231-digit input)
  190. Thu Jan 15 10:06:04 2026 R0: 223002222844520031445528802529671949761
  191. Thu Jan 15 10:06:04 2026 R1: -1
  192. Thu Jan 15 10:06:04 2026 A0: 1
  193. Thu Jan 15 10:06:04 2026 A1: 1
  194. Thu Jan 15 10:06:04 2026 A2: 1
  195. Thu Jan 15 10:06:04 2026 A3: 1
  196. Thu Jan 15 10:06:04 2026 A4: 1
  197. Thu Jan 15 10:06:04 2026 A5: 1
  198. Thu Jan 15 10:06:04 2026 A6: 1
  199. Thu Jan 15 10:06:04 2026 skew 1.35, size 2.149e-11, alpha 2.428, combined = 1.119e-12 rroots = 0
  200. Thu Jan 15 10:06:04 2026
  201. Thu Jan 15 10:06:04 2026 commencing square root phase
  202. Thu Jan 15 10:06:04 2026 reading relations for dependency 1
  203. Thu Jan 15 10:06:07 2026 read 2912683 cycles
  204. Thu Jan 15 10:06:12 2026 cycles contain 9391952 unique relations
  205. Thu Jan 15 10:09:03 2026 read 9391952 relations
  206. Thu Jan 15 10:09:46 2026 multiplying 9391952 relations
  207. Thu Jan 15 10:10:30 2026 multiply complete, coefficients have about 228.77 million bits
  208. Thu Jan 15 10:10:31 2026 initial square root is modulo 162112037
  209. Thu Jan 15 10:12:10 2026 GCD is 1, no factor found
  210. Thu Jan 15 10:12:10 2026 reading relations for dependency 2
  211. Thu Jan 15 10:12:10 2026 read 2911675 cycles
  212. Thu Jan 15 10:12:14 2026 cycles contain 9389936 unique relations
  213. Thu Jan 15 10:12:44 2026 read 9389936 relations
  214. Thu Jan 15 10:13:24 2026 multiplying 9389936 relations
  215. Thu Jan 15 10:14:05 2026 multiply complete, coefficients have about 228.72 million bits
  216. Thu Jan 15 10:14:06 2026 initial square root is modulo 161484767
  217. Thu Jan 15 10:15:43 2026 sqrtTime: 579
  218. Thu Jan 15 10:15:43 2026 p101 factor: 95738103073044946190410729613800547736427960205219246971263074257365446210257228253856097890701629921
  219. Thu Jan 15 10:15:43 2026 p130 factor: 1284607147170972292168365082218419416708819993603825032872968881340261720883291615632728770783806811523984902866107378184417161127
  220. Thu Jan 15 10:15:43 2026 elapsed time 00:09:40
  221.  
Tags: math
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