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200450687588401-17 msieve log

fivemack
May 6th, 2025
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  1. n: 6793925887254278146350103927507126811853432829053602879837554472482363368694255623312907630688164844081926366714625585117843703451284425925623813677490324319028133799609975045048695348095067913965492740941734089792798151732822417
  2. c8: 1
  3. c7: 1
  4. c6: -7
  5. c5: -6
  6. c4: 15
  7. c3: 10
  8. c2: -10
  9. c1: -4
  10. c0: 1
  11. Y1: -200450687588401
  12. Y0: 40180478154662738709189736802
  13. skew: 1.0
  14. lpbr: 30
  15. lpba: 31
  16. mfbr: 60
  17. mfba: 93
  18. alambda: 3.6
  19. rlambda: 2.6
  20. alim: 120000000
  21. rlim: 120000000
  22. Sat Mar 8 14:43:49 2025
  23. Sat Mar 8 14:43:49 2025
  24. Sat Mar 8 14:43:49 2025 Msieve v. 1.54 (SVN 1041M)
  25. Sat Mar 8 14:43:49 2025 random seeds: f3d439c2 2da24824
  26. Sat Mar 8 14:43:49 2025 factoring 6793925887254278146350103927507126811853432829053602879837554472482363368694255623312907630688164844081926366714625585117843703451284425925623813677490324319028133799609975045048695348095067913965492740941734089792798151732822417 (229 digits)
  27. Sat Mar 8 14:43:53 2025 no P-1/P+1/ECM available, skipping
  28. Sat Mar 8 14:43:53 2025 commencing number field sieve (229-digit input)
  29. Sat Mar 8 14:43:53 2025 R0: 40180478154662738709189736802
  30. Sat Mar 8 14:43:53 2025 R1: -200450687588401
  31. Sat Mar 8 14:43:53 2025 A0: 1
  32. Sat Mar 8 14:43:53 2025 A1: -4
  33. Sat Mar 8 14:43:53 2025 A2: -10
  34. Sat Mar 8 14:43:53 2025 A3: 10
  35. Sat Mar 8 14:43:53 2025 A4: 15
  36. Sat Mar 8 14:43:53 2025 A5: -6
  37. Sat Mar 8 14:43:53 2025 A6: -7
  38. Sat Mar 8 14:43:53 2025 A7: 1
  39. Sat Mar 8 14:43:53 2025 A8: 1
  40. Sat Mar 8 14:43:53 2025 skew 1.00, size 1.164e-06, alpha 3.205, combined = 4.881e-14 rroots = 8
  41. Sat Mar 8 14:43:53 2025
  42. Sat Mar 8 14:43:53 2025 commencing relation filtering
  43. Sat Mar 8 14:43:53 2025 estimated available RAM is 265660.9 MB
  44. Sat Mar 8 14:43:53 2025 commencing duplicate removal, pass 1
  45. Sat Mar 8 14:44:29 2025 error -9 reading relation 1100194
  46. Sat Mar 8 14:44:59 2025 error -15 reading relation 2004972
  47. Sat Mar 8 14:46:34 2025 error -9 reading relation 4929950
  48. Sat Mar 8 14:47:38 2025 error -15 reading relation 7251213
  49. Sat Mar 8 14:47:39 2025 error -15 reading relation 7263664
  50. Sat Mar 8 14:48:15 2025 error -9 reading relation 8545776
  51. Sat Mar 8 14:48:22 2025 error -11 reading relation 8771022
  52. Sat Mar 8 14:48:28 2025 error -11 reading relation 8976724
  53. Sat Mar 8 14:49:28 2025 skipped 1 relations with b > 2^32
  54. Sat Mar 8 14:49:28 2025 skipped 19 relations with composite factors
  55. Sat Mar 8 14:49:28 2025 found 836402 hash collisions in 11010328 relations
  56. Sat Mar 8 14:49:52 2025 added 1816147 free relations
  57. Sat Mar 8 14:49:52 2025 commencing duplicate removal, pass 2
  58. Sat Mar 8 14:50:02 2025 found 489939 duplicates and 12336536 unique relations
  59. Sat Mar 8 14:50:02 2025 memory use: 32.6 MB
  60. Sat Mar 8 14:50:02 2025 reading ideals above 720000
  61. Sat Mar 8 14:50:03 2025 commencing singleton removal, initial pass
  62. Sat Mar 8 14:58:07 2025 memory use: 753.0 MB
  63. Sat Mar 8 14:58:07 2025 reading all ideals from disk
  64. Sat Mar 8 14:58:08 2025 memory use: 497.9 MB
  65. Sat Mar 8 14:58:12 2025 commencing in-memory singleton removal
  66. Sat Mar 8 14:58:16 2025 begin with 12336536 relations and 40774712 unique ideals
  67. Sat Mar 8 14:58:20 2025 reduce to 7239 relations and 0 ideals in 4 passes
  68. Sat Mar 8 14:58:20 2025 max relations containing the same ideal: 0
  69. Sat Mar 8 14:58:20 2025 filtering wants 1000000 more relations
  70. Sat Mar 8 14:58:20 2025 elapsed time 00:14:31
  71.  
  72. ...
  73.  
  74. Sun May 4 13:13:37 2025
  75. Sun May 4 13:13:37 2025
  76. Sun May 4 13:13:37 2025 Msieve v. 1.54 (SVN unknown)
  77. Sun May 4 13:13:37 2025 random seeds: 92bc8a8a bc84453b
  78. Sun May 4 13:13:37 2025 factoring 6793925887254278146350103927507126811853432829053602879837554472482363368694255623312907630688164844081926366714625585117843703451284425925623813677490324319028133799609975045048695348095067913965492740941734089792798151732822417 (229 digits)
  79. Sun May 4 13:13:37 2025 no P-1/P+1/ECM available, skipping
  80. Sun May 4 13:13:37 2025 commencing number field sieve (229-digit input)
  81. Sun May 4 13:13:37 2025 R0: 40180478154662738709189736802
  82. Sun May 4 13:13:37 2025 R1: -200450687588401
  83. Sun May 4 13:13:37 2025 A0: 1
  84. Sun May 4 13:13:37 2025 A1: -4
  85. Sun May 4 13:13:37 2025 A2: -10
  86. Sun May 4 13:13:37 2025 A3: 10
  87. Sun May 4 13:13:37 2025 A4: 15
  88. Sun May 4 13:13:37 2025 A5: -6
  89. Sun May 4 13:13:37 2025 A6: -7
  90. Sun May 4 13:13:37 2025 A7: 1
  91. Sun May 4 13:13:37 2025 A8: 1
  92. Sun May 4 13:13:37 2025 skew 1.00, size 1.164e-06, alpha 3.205, combined = 4.881e-14 rroots = 8
  93. Sun May 4 13:13:37 2025
  94. Sun May 4 13:13:37 2025 commencing relation filtering
  95. Sun May 4 13:13:37 2025 estimated available RAM is 31847.9 MB
  96. Sun May 4 13:13:37 2025 commencing duplicate removal, pass 1
  97. Sun May 4 13:20:55 2025 found 6191774 hash collisions in 119601949 relations
  98. Sun May 4 13:20:59 2025 added 1828991 free relations
  99. Sun May 4 13:20:59 2025 commencing duplicate removal, pass 2
  100. Sun May 4 13:21:16 2025 found 0 duplicates and 121430940 unique relations
  101. Sun May 4 13:21:16 2025 memory use: 394.4 MB
  102. Sun May 4 13:21:16 2025 reading ideals above 720000
  103. Sun May 4 13:21:16 2025 commencing singleton removal, initial pass
  104. Sun May 4 13:35:59 2025 memory use: 3012.0 MB
  105. Sun May 4 13:36:00 2025 reading all ideals from disk
  106. Sun May 4 13:36:05 2025 memory use: 5912.2 MB
  107. Sun May 4 13:36:21 2025 keeping 122219304 ideals with weight <= 200, target excess is 649083
  108. Sun May 4 13:36:41 2025 commencing in-memory singleton removal
  109. Sun May 4 13:37:40 2025 begin with 121430940 relations and 122219304 unique ideals
  110. Sun May 4 13:40:26 2025 reduce to 80232973 relations and 77818196 ideals in 18 passes
  111. Sun May 4 13:40:26 2025 max relations containing the same ideal: 160
  112. Sun May 4 13:41:49 2025 removing 4112791 relations and 3712791 ideals in 400000 cliques
  113. Sun May 4 13:41:53 2025 commencing in-memory singleton removal
  114. Sun May 4 13:42:29 2025 begin with 76120182 relations and 77818196 unique ideals
  115. Sun May 4 13:43:28 2025 reduce to 75924661 relations and 73908327 ideals in 8 passes
  116. Sun May 4 13:43:28 2025 max relations containing the same ideal: 154
  117. Sun May 4 13:44:46 2025 removing 3053213 relations and 2653213 ideals in 400000 cliques
  118. Sun May 4 13:44:49 2025 commencing in-memory singleton removal
  119. Sun May 4 13:45:23 2025 begin with 72871448 relations and 73908327 unique ideals
  120. Sun May 4 13:46:20 2025 reduce to 72756060 relations and 71139017 ideals in 8 passes
  121. Sun May 4 13:46:20 2025 max relations containing the same ideal: 149
  122. Sun May 4 13:47:35 2025 removing 2719086 relations and 2319086 ideals in 400000 cliques
  123. Sun May 4 13:47:38 2025 commencing in-memory singleton removal
  124. Sun May 4 13:48:11 2025 begin with 70036974 relations and 71139017 unique ideals
  125. Sun May 4 13:49:05 2025 reduce to 69940859 relations and 68723203 ideals in 8 passes
  126. Sun May 4 13:49:05 2025 max relations containing the same ideal: 145
  127. Sun May 4 13:50:17 2025 removing 2537586 relations and 2137586 ideals in 400000 cliques
  128. Sun May 4 13:50:19 2025 commencing in-memory singleton removal
  129. Sun May 4 13:50:51 2025 begin with 67403273 relations and 68723203 unique ideals
  130. Sun May 4 13:51:43 2025 reduce to 67316613 relations and 66498421 ideals in 8 passes
  131. Sun May 4 13:51:43 2025 max relations containing the same ideal: 141
  132. Sun May 4 13:52:52 2025 removing 527253 relations and 461998 ideals in 65255 cliques
  133. Sun May 4 13:52:54 2025 commencing in-memory singleton removal
  134. Sun May 4 13:53:26 2025 begin with 66789360 relations and 66498421 unique ideals
  135. Sun May 4 13:54:04 2025 reduce to 66785958 relations and 66033019 ideals in 6 passes
  136. Sun May 4 13:54:04 2025 max relations containing the same ideal: 141
  137. Sun May 4 13:54:23 2025 relations with 0 large ideals: 31334
  138. Sun May 4 13:54:23 2025 relations with 1 large ideals: 19655
  139. Sun May 4 13:54:23 2025 relations with 2 large ideals: 104627
  140. Sun May 4 13:54:23 2025 relations with 3 large ideals: 749815
  141. Sun May 4 13:54:23 2025 relations with 4 large ideals: 3127411
  142. Sun May 4 13:54:23 2025 relations with 5 large ideals: 8316263
  143. Sun May 4 13:54:23 2025 relations with 6 large ideals: 14572946
  144. Sun May 4 13:54:23 2025 relations with 7+ large ideals: 39863907
  145. Sun May 4 13:54:23 2025 commencing 2-way merge
  146. Sun May 4 13:56:22 2025 reduce to 43749967 relation sets and 42997028 unique ideals
  147. Sun May 4 13:56:22 2025 commencing full merge
  148. Sun May 4 14:16:19 2025 memory use: 5211.7 MB
  149. Sun May 4 14:16:25 2025 found 21044929 cycles, need 20973228
  150. Sun May 4 14:16:35 2025 weight of 20973228 cycles is about 1887984608 (90.02/cycle)
  151. Sun May 4 14:16:35 2025 distribution of cycle lengths:
  152. Sun May 4 14:16:35 2025 1 relations: 2576774
  153. Sun May 4 14:16:35 2025 2 relations: 2324760
  154. Sun May 4 14:16:35 2025 3 relations: 2215098
  155. Sun May 4 14:16:35 2025 4 relations: 1997974
  156. Sun May 4 14:16:35 2025 5 relations: 1778887
  157. Sun May 4 14:16:35 2025 6 relations: 1559755
  158. Sun May 4 14:16:35 2025 7 relations: 1340941
  159. Sun May 4 14:16:35 2025 8 relations: 1162336
  160. Sun May 4 14:16:35 2025 9 relations: 1003687
  161. Sun May 4 14:16:35 2025 10+ relations: 5013016
  162. Sun May 4 14:16:35 2025 heaviest cycle: 28 relations
  163. Sun May 4 14:16:41 2025 commencing cycle optimization
  164. Sun May 4 14:17:22 2025 start with 137621806 relations
  165. Sun May 4 14:22:03 2025 pruned 4150700 relations
  166. Sun May 4 14:22:06 2025 memory use: 4149.2 MB
  167. Sun May 4 14:22:06 2025 distribution of cycle lengths:
  168. Sun May 4 14:22:06 2025 1 relations: 2576774
  169. Sun May 4 14:22:06 2025 2 relations: 2378257
  170. Sun May 4 14:22:06 2025 3 relations: 2301224
  171. Sun May 4 14:22:06 2025 4 relations: 2056896
  172. Sun May 4 14:22:06 2025 5 relations: 1833730
  173. Sun May 4 14:22:06 2025 6 relations: 1588937
  174. Sun May 4 14:22:06 2025 7 relations: 1360386
  175. Sun May 4 14:22:06 2025 8 relations: 1165977
  176. Sun May 4 14:22:06 2025 9 relations: 999451
  177. Sun May 4 14:22:06 2025 10+ relations: 4711596
  178. Sun May 4 14:22:06 2025 heaviest cycle: 28 relations
  179. Sun May 4 14:22:38 2025 RelProcTime: 4141
  180. Sun May 4 14:22:38 2025 elapsed time 01:09:01
  181. Sun May 4 14:46:26 2025
  182. Sun May 4 14:46:26 2025
  183. Sun May 4 14:46:26 2025 Msieve v. 1.54 (SVN unknown)
  184. Sun May 4 14:46:26 2025 random seeds: e706212a dc64b916
  185. Sun May 4 14:46:26 2025 factoring 6793925887254278146350103927507126811853432829053602879837554472482363368694255623312907630688164844081926366714625585117843703451284425925623813677490324319028133799609975045048695348095067913965492740941734089792798151732822417 (229 digits)
  186. Sun May 4 14:46:27 2025 no P-1/P+1/ECM available, skipping
  187. Sun May 4 14:46:27 2025 commencing number field sieve (229-digit input)
  188. Sun May 4 14:46:27 2025 R0: 40180478154662738709189736802
  189. Sun May 4 14:46:27 2025 R1: -200450687588401
  190. Sun May 4 14:46:27 2025 A0: 1
  191. Sun May 4 14:46:27 2025 A1: -4
  192. Sun May 4 14:46:27 2025 A2: -10
  193. Sun May 4 14:46:27 2025 A3: 10
  194. Sun May 4 14:46:27 2025 A4: 15
  195. Sun May 4 14:46:27 2025 A5: -6
  196. Sun May 4 14:46:27 2025 A6: -7
  197. Sun May 4 14:46:27 2025 A7: 1
  198. Sun May 4 14:46:27 2025 A8: 1
  199. Sun May 4 14:46:27 2025 skew 1.00, size 1.164e-06, alpha 3.205, combined = 4.881e-14 rroots = 8
  200. Sun May 4 14:46:27 2025
  201. Sun May 4 14:46:27 2025 commencing linear algebra
  202. Sun May 4 14:46:27 2025 using VBITS=256
  203. Sun May 4 14:46:29 2025 read 20973228 cycles
  204. Sun May 4 14:47:03 2025 cycles contain 66222422 unique relations
  205. Sun May 4 14:54:35 2025 read 66222422 relations
  206. Sun May 4 14:58:01 2025 using 20 quadratic characters above 4294917295
  207. Sun May 4 15:03:06 2025 building initial matrix
  208. Sun May 4 15:18:13 2025 memory use: 8270.7 MB
  209. Sun May 4 15:18:26 2025 read 20973228 cycles
  210. Sun May 4 15:18:28 2025 matrix is 20973051 x 20973228 (7683.0 MB) with weight 2163798205 (103.17/col)
  211. Sun May 4 15:18:28 2025 sparse part has weight 1804316144 (86.03/col)
  212. Sun May 4 15:22:41 2025 filtering completed in 2 passes
  213. Sun May 4 15:22:44 2025 matrix is 20968101 x 20968267 (7682.6 MB) with weight 2163670016 (103.19/col)
  214. Sun May 4 15:22:44 2025 sparse part has weight 1804275718 (86.05/col)
  215. Sun May 4 15:23:24 2025 matrix starts at (0, 0)
  216. Sun May 4 15:23:26 2025 matrix is 20968101 x 20968267 (7682.6 MB) with weight 2163670016 (103.19/col)
  217. Sun May 4 15:23:26 2025 sparse part has weight 1804275718 (86.05/col)
  218. Sun May 4 15:23:26 2025 saving the first 240 matrix rows for later
  219. Sun May 4 15:23:30 2025 matrix includes 256 packed rows
  220. Sun May 4 15:23:35 2025 matrix is 20967861 x 20968267 (7232.3 MB) with weight 1636215923 (78.03/col)
  221. Sun May 4 15:23:35 2025 sparse part has weight 1560415397 (74.42/col)
  222. Sun May 4 15:23:35 2025 using GPU 0 (NVIDIA GeForce RTX 4080 SUPER)
  223. Sun May 4 15:23:35 2025 selected card has CUDA arch 8.9
  224. Sun May 4 15:27:33 2025 commencing Lanczos iteration
  225. Sun May 4 15:27:57 2025 memory use: 18384.0 MB
  226. Sun May 4 15:31:43 2025 linear algebra at 0.1%, ETA 34h 0m
  227. Sun May 4 15:35:48 2025 checking every 10000 dimensions, checkpointing every 660000 dimensions
  228. Mon May 5 22:48:55 2025 lanczos halted after 82153 iterations (dim = 20967861)
  229. Mon May 5 22:50:22 2025 recovered 35 nontrivial dependencies
  230. Mon May 5 22:50:24 2025 BLanczosTime: 115437
  231. Mon May 5 22:50:24 2025 elapsed time 32:03:58
  232. Mon May 5 22:50:25 2025
  233. Mon May 5 22:50:25 2025
  234. Mon May 5 22:50:25 2025 Msieve v. 1.54 (SVN unknown)
  235. Mon May 5 22:50:25 2025 random seeds: 1b70882d 2c798984
  236. Mon May 5 22:50:25 2025 factoring 6793925887254278146350103927507126811853432829053602879837554472482363368694255623312907630688164844081926366714625585117843703451284425925623813677490324319028133799609975045048695348095067913965492740941734089792798151732822417 (229 digits)
  237. Mon May 5 22:50:26 2025 no P-1/P+1/ECM available, skipping
  238. Mon May 5 22:50:26 2025 commencing number field sieve (229-digit input)
  239. Mon May 5 22:50:26 2025 R0: 40180478154662738709189736802
  240. Mon May 5 22:50:26 2025 R1: -200450687588401
  241. Mon May 5 22:50:26 2025 A0: 1
  242. Mon May 5 22:50:26 2025 A1: -4
  243. Mon May 5 22:50:26 2025 A2: -10
  244. Mon May 5 22:50:26 2025 A3: 10
  245. Mon May 5 22:50:26 2025 A4: 15
  246. Mon May 5 22:50:26 2025 A5: -6
  247. Mon May 5 22:50:26 2025 A6: -7
  248. Mon May 5 22:50:26 2025 A7: 1
  249. Mon May 5 22:50:26 2025 A8: 1
  250. Mon May 5 22:50:26 2025 skew 1.00, size 1.164e-06, alpha 3.205, combined = 4.881e-14 rroots = 8
  251. Mon May 5 22:50:26 2025
  252. Mon May 5 22:50:26 2025 commencing square root phase
  253. Mon May 5 22:50:26 2025 reading relations for dependency 1
  254. Mon May 5 22:50:28 2025 read 10480907 cycles
  255. Mon May 5 22:50:45 2025 cycles contain 33104928 unique relations
  256. Mon May 5 22:54:35 2025 read 33104928 relations
  257. Mon May 5 22:57:26 2025 multiplying 33104928 relations
  258. Mon May 5 23:59:34 2025 multiply complete, coefficients have about 847.36 million bits
  259. Mon May 5 23:59:42 2025 initial square root is modulo 40004389
  260. Tue May 6 00:56:06 2025 Newton iteration failed to converge
  261. Tue May 6 00:56:06 2025 algebraic square root failed
  262. Tue May 6 00:56:06 2025 reading relations for dependency 2
  263. Tue May 6 00:56:08 2025 read 10487497 cycles
  264. Tue May 6 00:56:27 2025 cycles contain 33110282 unique relations
  265. Tue May 6 01:00:08 2025 read 33110282 relations
  266. Tue May 6 01:02:59 2025 multiplying 33110282 relations
  267. Tue May 6 02:05:08 2025 multiply complete, coefficients have about 847.53 million bits
  268. Tue May 6 02:05:18 2025 initial square root is modulo 40140019
  269. Tue May 6 03:01:19 2025 Newton iteration failed to converge
  270. Tue May 6 03:01:19 2025 algebraic square root failed
  271. Tue May 6 03:01:19 2025 reading relations for dependency 3
  272. Tue May 6 03:01:21 2025 read 10482909 cycles
  273. Tue May 6 03:01:40 2025 cycles contain 33109842 unique relations
  274. Tue May 6 03:05:20 2025 read 33109842 relations
  275. Tue May 6 03:08:13 2025 multiplying 33109842 relations
  276. Tue May 6 04:10:16 2025 multiply complete, coefficients have about 847.47 million bits
  277. Tue May 6 04:10:25 2025 initial square root is modulo 40096477
  278. Tue May 6 05:06:28 2025 GCD is 1, no factor found
  279. Tue May 6 05:06:28 2025 reading relations for dependency 4
  280. Tue May 6 05:06:30 2025 read 10485514 cycles
  281. Tue May 6 05:06:48 2025 cycles contain 33108330 unique relations
  282. Tue May 6 05:10:29 2025 read 33108330 relations
  283. Tue May 6 05:13:22 2025 multiplying 33108330 relations
  284. Tue May 6 06:15:27 2025 multiply complete, coefficients have about 847.46 million bits
  285. Tue May 6 06:15:37 2025 initial square root is modulo 40083343
  286. Tue May 6 07:11:39 2025 sqrtTime: 30073
  287. Tue May 6 07:11:39 2025 p79 factor: 7592725930006683730257660164300805861370751312109121627459347587309115357669493
  288. Tue May 6 07:11:39 2025 p150 factor: 894794037067040240759774804624441188502163442943180131733783005634595277640034324338507722840938389625143652301350328156395631884354174020705708781869
  289. Tue May 6 07:11:39 2025 elapsed time 08:21:14
  290.  
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