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Oct 17th, 2025
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  1. Fri Oct 17 11:46:12 2025
  2. Fri Oct 17 11:46:12 2025
  3. Fri Oct 17 11:46:12 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Oct 17 11:46:12 2025 random seeds: 81bff011 0e870bd3
  5. Fri Oct 17 11:46:12 2025 factoring 326609260007898104426772907952617030149351164058426144786464443226668895553364520213677191104704076687491344272668046941312854690050578467415846610744280955668184942818781819231271895128878240302598983439255278283347735831961001 (228 digits)
  6. Fri Oct 17 11:46:14 2025 searching for 15-digit factors
  7. Fri Oct 17 11:46:15 2025 commencing number field sieve (228-digit input)
  8. Fri Oct 17 11:46:15 2025 R0: 160836295125646573244078293276697390162
  9. Fri Oct 17 11:46:15 2025 R1: -12682125024050447881
  10. Fri Oct 17 11:46:15 2025 A0: -1
  11. Fri Oct 17 11:46:15 2025 A1: 3
  12. Fri Oct 17 11:46:15 2025 A2: 6
  13. Fri Oct 17 11:46:15 2025 A3: -4
  14. Fri Oct 17 11:46:15 2025 A4: -5
  15. Fri Oct 17 11:46:15 2025 A5: 1
  16. Fri Oct 17 11:46:15 2025 A6: 1
  17. Fri Oct 17 11:46:15 2025 skew 1.37, size 2.733e-11, alpha 3.126, combined = 1.305e-12 rroots = 6
  18. Fri Oct 17 11:46:15 2025
  19. Fri Oct 17 11:46:15 2025 commencing relation filtering
  20. Fri Oct 17 11:46:15 2025 setting target matrix density to 104.0
  21. Fri Oct 17 11:46:15 2025 estimated available RAM is 15938.6 MB
  22. Fri Oct 17 11:46:15 2025 commencing duplicate removal, pass 1
  23. Fri Oct 17 12:05:43 2025 skipped 9 relations with b > 2^32
  24. Fri Oct 17 12:05:43 2025 skipped 6 relations with composite factors
  25. Fri Oct 17 12:05:43 2025 found 4688506 hash collisions in 103552903 relations
  26. Fri Oct 17 12:05:43 2025 commencing duplicate removal, pass 2
  27. Fri Oct 17 12:06:38 2025 found 0 duplicates and 103552903 unique relations
  28. Fri Oct 17 12:06:38 2025 memory use: 261.2 MB
  29. Fri Oct 17 12:06:38 2025 reading ideals above 69926912
  30. Fri Oct 17 12:06:38 2025 commencing singleton removal, initial pass
  31. Fri Oct 17 12:21:46 2025 memory use: 2756.0 MB
  32. Fri Oct 17 12:21:46 2025 reading all ideals from disk
  33. Fri Oct 17 12:21:50 2025 memory use: 1859.5 MB
  34. Fri Oct 17 12:21:58 2025 commencing in-memory singleton removal
  35. Fri Oct 17 12:22:05 2025 begin with 103552903 relations and 84584928 unique ideals
  36. Fri Oct 17 12:23:30 2025 reduce to 70998074 relations and 48947781 ideals in 14 passes
  37. Fri Oct 17 12:23:30 2025 max relations containing the same ideal: 44
  38. Fri Oct 17 12:23:38 2025 reading ideals above 720000
  39. Fri Oct 17 12:23:38 2025 commencing singleton removal, initial pass
  40. Fri Oct 17 12:37:39 2025 memory use: 1506.0 MB
  41. Fri Oct 17 12:37:39 2025 reading all ideals from disk
  42. Fri Oct 17 12:37:45 2025 memory use: 2668.8 MB
  43. Fri Oct 17 12:37:57 2025 keeping 56822449 ideals with weight <= 200, target excess is 353044
  44. Fri Oct 17 12:38:11 2025 commencing in-memory singleton removal
  45. Fri Oct 17 12:38:21 2025 begin with 70998076 relations and 56822449 unique ideals
  46. Fri Oct 17 12:38:54 2025 reduce to 70998032 relations and 56822402 ideals in 3 passes
  47. Fri Oct 17 12:38:54 2025 max relations containing the same ideal: 200
  48. Fri Oct 17 12:39:49 2025 removing 8536261 relations and 6536261 ideals in 2000000 cliques
  49. Fri Oct 17 12:39:53 2025 commencing in-memory singleton removal
  50. Fri Oct 17 12:40:02 2025 begin with 62461771 relations and 56822402 unique ideals
  51. Fri Oct 17 12:41:28 2025 reduce to 61533834 relations and 49324804 ideals in 9 passes
  52. Fri Oct 17 12:41:28 2025 max relations containing the same ideal: 193
  53. Fri Oct 17 12:42:15 2025 removing 6935930 relations and 4935930 ideals in 2000000 cliques
  54. Fri Oct 17 12:42:19 2025 commencing in-memory singleton removal
  55. Fri Oct 17 12:42:27 2025 begin with 54597904 relations and 49324804 unique ideals
  56. Fri Oct 17 12:43:24 2025 reduce to 53935052 relations and 43703784 ideals in 7 passes
  57. Fri Oct 17 12:43:24 2025 max relations containing the same ideal: 181
  58. Fri Oct 17 12:44:06 2025 removing 6472196 relations and 4472196 ideals in 2000000 cliques
  59. Fri Oct 17 12:44:09 2025 commencing in-memory singleton removal
  60. Fri Oct 17 12:44:16 2025 begin with 47462856 relations and 43703784 unique ideals
  61. Fri Oct 17 12:45:05 2025 reduce to 46836731 relations and 38583428 ideals in 7 passes
  62. Fri Oct 17 12:45:05 2025 max relations containing the same ideal: 162
  63. Fri Oct 17 12:45:41 2025 removing 6266223 relations and 4266223 ideals in 2000000 cliques
  64. Fri Oct 17 12:45:45 2025 commencing in-memory singleton removal
  65. Fri Oct 17 12:45:51 2025 begin with 40570508 relations and 38583428 unique ideals
  66. Fri Oct 17 12:46:33 2025 reduce to 39922331 relations and 33643288 ideals in 7 passes
  67. Fri Oct 17 12:46:33 2025 max relations containing the same ideal: 146
  68. Fri Oct 17 12:47:04 2025 removing 6168793 relations and 4168793 ideals in 2000000 cliques
  69. Fri Oct 17 12:47:07 2025 commencing in-memory singleton removal
  70. Fri Oct 17 12:47:12 2025 begin with 33753538 relations and 33643288 unique ideals
  71. Fri Oct 17 12:47:51 2025 reduce to 33042431 relations and 28730682 ideals in 8 passes
  72. Fri Oct 17 12:47:51 2025 max relations containing the same ideal: 129
  73. Fri Oct 17 12:48:17 2025 removing 6126723 relations and 4126723 ideals in 2000000 cliques
  74. Fri Oct 17 12:48:20 2025 commencing in-memory singleton removal
  75. Fri Oct 17 12:48:23 2025 begin with 26915708 relations and 28730682 unique ideals
  76. Fri Oct 17 12:48:53 2025 reduce to 26091080 relations and 23733733 ideals in 8 passes
  77. Fri Oct 17 12:48:53 2025 max relations containing the same ideal: 109
  78. Fri Oct 17 12:49:14 2025 removing 5976883 relations and 4029068 ideals in 1947815 cliques
  79. Fri Oct 17 12:49:16 2025 commencing in-memory singleton removal
  80. Fri Oct 17 12:49:19 2025 begin with 20114197 relations and 23733733 unique ideals
  81. Fri Oct 17 12:49:47 2025 reduce to 19144827 relations and 18668498 ideals in 10 passes
  82. Fri Oct 17 12:49:47 2025 max relations containing the same ideal: 89
  83. Fri Oct 17 12:50:02 2025 removing 411671 relations and 344874 ideals in 66797 cliques
  84. Fri Oct 17 12:50:03 2025 commencing in-memory singleton removal
  85. Fri Oct 17 12:50:06 2025 begin with 18733156 relations and 18668498 unique ideals
  86. Fri Oct 17 12:50:21 2025 reduce to 18726097 relations and 18316542 ideals in 6 passes
  87. Fri Oct 17 12:50:21 2025 max relations containing the same ideal: 88
  88. Fri Oct 17 12:50:27 2025 relations with 0 large ideals: 25904
  89. Fri Oct 17 12:50:27 2025 relations with 1 large ideals: 6565
  90. Fri Oct 17 12:50:27 2025 relations with 2 large ideals: 48084
  91. Fri Oct 17 12:50:27 2025 relations with 3 large ideals: 347843
  92. Fri Oct 17 12:50:27 2025 relations with 4 large ideals: 1382871
  93. Fri Oct 17 12:50:27 2025 relations with 5 large ideals: 3276188
  94. Fri Oct 17 12:50:27 2025 relations with 6 large ideals: 4819798
  95. Fri Oct 17 12:50:27 2025 relations with 7+ large ideals: 8818844
  96. Fri Oct 17 12:50:27 2025 commencing 2-way merge
  97. Fri Oct 17 12:50:46 2025 reduce to 12329072 relation sets and 11919517 unique ideals
  98. Fri Oct 17 12:50:46 2025 commencing full merge
  99. Fri Oct 17 12:58:11 2025 memory use: 1686.3 MB
  100. Fri Oct 17 12:58:13 2025 found 5805615 cycles, need 5787717
  101. Fri Oct 17 12:58:16 2025 weight of 5787717 cycles is about 602313341 (104.07/cycle)
  102. Fri Oct 17 12:58:16 2025 distribution of cycle lengths:
  103. Fri Oct 17 12:58:16 2025 1 relations: 328926
  104. Fri Oct 17 12:58:16 2025 2 relations: 419473
  105. Fri Oct 17 12:58:16 2025 3 relations: 465445
  106. Fri Oct 17 12:58:16 2025 4 relations: 471774
  107. Fri Oct 17 12:58:16 2025 5 relations: 468820
  108. Fri Oct 17 12:58:16 2025 6 relations: 451798
  109. Fri Oct 17 12:58:16 2025 7 relations: 428700
  110. Fri Oct 17 12:58:16 2025 8 relations: 398093
  111. Fri Oct 17 12:58:16 2025 9 relations: 360952
  112. Fri Oct 17 12:58:16 2025 10+ relations: 1993736
  113. Fri Oct 17 12:58:16 2025 heaviest cycle: 28 relations
  114. Fri Oct 17 12:58:18 2025 commencing cycle optimization
  115. Fri Oct 17 12:58:36 2025 start with 47380566 relations
  116. Fri Oct 17 13:01:12 2025 pruned 2042757 relations
  117. Fri Oct 17 13:01:12 2025 memory use: 1267.2 MB
  118. Fri Oct 17 13:01:12 2025 distribution of cycle lengths:
  119. Fri Oct 17 13:01:12 2025 1 relations: 328926
  120. Fri Oct 17 13:01:12 2025 2 relations: 428002
  121. Fri Oct 17 13:01:12 2025 3 relations: 483466
  122. Fri Oct 17 13:01:12 2025 4 relations: 489843
  123. Fri Oct 17 13:01:12 2025 5 relations: 490564
  124. Fri Oct 17 13:01:12 2025 6 relations: 471855
  125. Fri Oct 17 13:01:12 2025 7 relations: 449097
  126. Fri Oct 17 13:01:12 2025 8 relations: 414044
  127. Fri Oct 17 13:01:12 2025 9 relations: 373376
  128. Fri Oct 17 13:01:12 2025 10+ relations: 1858544
  129. Fri Oct 17 13:01:12 2025 heaviest cycle: 28 relations
  130. Fri Oct 17 13:01:27 2025 RelProcTime: 4512
  131. Fri Oct 17 13:01:27 2025
  132. Fri Oct 17 13:01:27 2025 commencing linear algebra
  133. Fri Oct 17 13:01:27 2025 using VBITS=512
  134. Fri Oct 17 13:01:28 2025 read 5787717 cycles
  135. Fri Oct 17 13:01:44 2025 cycles contain 18497086 unique relations
  136. Fri Oct 17 13:04:05 2025 read 18497086 relations
  137. Fri Oct 17 13:04:47 2025 using 20 quadratic characters above 4294917295
  138. Fri Oct 17 13:06:26 2025 building initial matrix
  139. Fri Oct 17 13:13:04 2025 memory use: 2277.8 MB
  140. Fri Oct 17 13:13:08 2025 read 5787717 cycles
  141. Fri Oct 17 13:13:09 2025 matrix is 5787540 x 5787717 (2380.7 MB) with weight 676873878 (116.95/col)
  142. Fri Oct 17 13:13:09 2025 sparse part has weight 566215131 (97.83/col)
  143. Fri Oct 17 13:14:46 2025 filtering completed in 2 passes
  144. Fri Oct 17 13:14:47 2025 matrix is 5787368 x 5787511 (2380.7 MB) with weight 676868626 (116.95/col)
  145. Fri Oct 17 13:14:47 2025 sparse part has weight 566213445 (97.83/col)
  146. Fri Oct 17 13:15:18 2025 matrix starts at (0, 0)
  147. Fri Oct 17 13:15:20 2025 matrix is 5787368 x 5787511 (2380.7 MB) with weight 676868626 (116.95/col)
  148. Fri Oct 17 13:15:20 2025 sparse part has weight 566213445 (97.83/col)
  149. Fri Oct 17 13:15:20 2025 saving the first 496 matrix rows for later
  150. Fri Oct 17 13:15:23 2025 matrix includes 512 packed rows
  151. Fri Oct 17 13:15:31 2025 matrix is 5786872 x 5787511 (2280.3 MB) with weight 485531885 (83.89/col)
  152. Fri Oct 17 13:15:31 2025 sparse part has weight 458868652 (79.29/col)
  153. Fri Oct 17 13:49:18 2025
  154. Fri Oct 17 13:49:18 2025
  155. Fri Oct 17 13:49:18 2025 Msieve v. 1.54 (SVN unknown)
  156. Fri Oct 17 13:49:18 2025 random seeds: 632a7dab f4c7acc1
  157. Fri Oct 17 13:49:18 2025 factoring 326609260007898104426772907952617030149351164058426144786464443226668895553364520213677191104704076687491344272668046941312854690050578467415846610744280955668184942818781819231271895128878240302598983439255278283347735831961001 (228 digits)
  158. Fri Oct 17 13:49:19 2025 no P-1/P+1/ECM available, skipping
  159. Fri Oct 17 13:49:19 2025 commencing number field sieve (228-digit input)
  160. Fri Oct 17 13:49:19 2025 R0: 160836295125646573244078293276697390162
  161. Fri Oct 17 13:49:19 2025 R1: -12682125024050447881
  162. Fri Oct 17 13:49:19 2025 A0: -1
  163. Fri Oct 17 13:49:19 2025 A1: 3
  164. Fri Oct 17 13:49:19 2025 A2: 6
  165. Fri Oct 17 13:49:19 2025 A3: -4
  166. Fri Oct 17 13:49:19 2025 A4: -5
  167. Fri Oct 17 13:49:19 2025 A5: 1
  168. Fri Oct 17 13:49:19 2025 A6: 1
  169. Fri Oct 17 13:49:19 2025 skew 1.37, size 2.733e-11, alpha 3.126, combined = 1.305e-12 rroots = 6
  170. Fri Oct 17 13:49:19 2025
  171. Fri Oct 17 13:49:19 2025 commencing linear algebra
  172. Fri Oct 17 13:49:19 2025 using VBITS=512
  173. Fri Oct 17 13:49:19 2025 skipping matrix build
  174. Fri Oct 17 13:49:23 2025 matrix starts at (0, 0)
  175. Fri Oct 17 13:49:24 2025 matrix is 5787368 x 5787511 (2380.7 MB) with weight 676868626 (116.95/col)
  176. Fri Oct 17 13:49:24 2025 sparse part has weight 566213445 (97.83/col)
  177. Fri Oct 17 13:49:24 2025 saving the first 496 matrix rows for later
  178. Fri Oct 17 13:49:25 2025 matrix includes 512 packed rows
  179. Fri Oct 17 13:49:29 2025 matrix is 5786872 x 5787511 (2280.3 MB) with weight 485531885 (83.89/col)
  180. Fri Oct 17 13:49:29 2025 sparse part has weight 458868652 (79.29/col)
  181. Fri Oct 17 13:49:29 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  182. Fri Oct 17 13:49:29 2025 selected card has CUDA arch 8.6
  183. Fri Oct 17 13:50:01 2025 commencing Lanczos iteration
  184. Fri Oct 17 13:50:02 2025 memory use: 6371.0 MB
  185. Fri Oct 17 13:50:22 2025 linear algebra at 0.3%, ETA 2h 5m
  186. Fri Oct 17 13:50:23 2025 checkpointing every 2720000 dimensions
  187. Fri Oct 17 16:07:56 2025 lanczos halted after 11321 iterations (dim = 5786871)
  188. Fri Oct 17 16:09:08 2025 recovered 33 nontrivial dependencies
  189. Fri Oct 17 16:09:08 2025 BLanczosTime: 8389
  190. Fri Oct 17 16:09:08 2025 elapsed time 02:19:50
  191. Fri Oct 17 16:35:23 2025
  192. Fri Oct 17 16:35:23 2025
  193. Fri Oct 17 16:35:23 2025 Msieve v. 1.54 (SVN unknown)
  194. Fri Oct 17 16:35:23 2025 random seeds: 70fcef1c fad88ed5
  195. Fri Oct 17 16:35:23 2025 factoring 326609260007898104426772907952617030149351164058426144786464443226668895553364520213677191104704076687491344272668046941312854690050578467415846610744280955668184942818781819231271895128878240302598983439255278283347735831961001 (228 digits)
  196. Fri Oct 17 16:35:24 2025 no P-1/P+1/ECM available, skipping
  197. Fri Oct 17 16:35:24 2025 commencing number field sieve (228-digit input)
  198. Fri Oct 17 16:35:24 2025 R0: 160836295125646573244078293276697390162
  199. Fri Oct 17 16:35:24 2025 R1: -12682125024050447881
  200. Fri Oct 17 16:35:24 2025 A0: -1
  201. Fri Oct 17 16:35:24 2025 A1: 3
  202. Fri Oct 17 16:35:24 2025 A2: 6
  203. Fri Oct 17 16:35:24 2025 A3: -4
  204. Fri Oct 17 16:35:24 2025 A4: -5
  205. Fri Oct 17 16:35:24 2025 A5: 1
  206. Fri Oct 17 16:35:24 2025 A6: 1
  207. Fri Oct 17 16:35:24 2025 skew 1.37, size 2.733e-11, alpha 3.126, combined = 1.305e-12 rroots = 6
  208. Fri Oct 17 16:35:24 2025
  209. Fri Oct 17 16:35:24 2025 commencing square root phase
  210. Fri Oct 17 16:35:24 2025 reading relations for dependency 1
  211. Fri Oct 17 16:35:25 2025 read 2891913 cycles
  212. Fri Oct 17 16:35:29 2025 cycles contain 9244360 unique relations
  213. Fri Oct 17 16:36:11 2025 read 9244360 relations
  214. Fri Oct 17 16:36:47 2025 multiplying 9244360 relations
  215. Fri Oct 17 16:41:08 2025 multiply complete, coefficients have about 224.54 million bits
  216. Fri Oct 17 16:41:09 2025 initial square root is modulo 114312391
  217. Fri Oct 17 16:46:16 2025 sqrtTime: 652
  218. Fri Oct 17 16:46:16 2025 p60 factor: 662239605877786427647641128762691003308844154389911482893017
  219. Fri Oct 17 16:46:16 2025 p168 factor: 493188956246408023826919298818948700692386701552113716134138218061123949963449867462483188450558325764284602529908139585832356804415889894448213240975423231593536278353
  220. Fri Oct 17 16:46:16 2025 elapsed time 00:10:53
  221.  
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