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  1. Mon Nov 17 12:28:45 2025
  2. Mon Nov 17 12:28:45 2025
  3. Mon Nov 17 12:28:45 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Nov 17 12:28:45 2025 random seeds: a700f861 31e3e483
  5. Mon Nov 17 12:28:45 2025 Using 8 OpenMP threads
  6. Mon Nov 17 12:28:45 2025 factoring 832548541246952610872148475060713788004031039647635824148114185551281962001061610003062324968091616152169880739289531364027035678034983955112258876696159890087300407647504200923 (177 digits)
  7. Mon Nov 17 12:28:45 2025 searching for 15-digit factors
  8. Mon Nov 17 12:28:45 2025 commencing number field sieve (177-digit input)
  9. Mon Nov 17 12:28:45 2025 R0: 282919861606161160015670516569022366664474313370
  10. Mon Nov 17 12:28:45 2025 R1: -531902116564844250118213
  11. Mon Nov 17 12:28:45 2025 A0: 1
  12. Mon Nov 17 12:28:45 2025 A1: 3
  13. Mon Nov 17 12:28:45 2025 A2: -3
  14. Mon Nov 17 12:28:45 2025 A3: -4
  15. Mon Nov 17 12:28:45 2025 A4: 1
  16. Mon Nov 17 12:28:45 2025 A5: 1
  17. Mon Nov 17 12:28:45 2025 skew 1.48, size 3.875e-16, alpha 2.379, combined = 5.063e-13 rroots = 5
  18. Mon Nov 17 12:28:45 2025
  19. Mon Nov 17 12:28:45 2025 commencing relation filtering
  20. Mon Nov 17 12:28:45 2025 estimated available RAM is 78540.1 MB
  21. Mon Nov 17 12:28:45 2025 commencing duplicate removal, pass 1
  22. Mon Nov 17 12:29:08 2025 error -1 reading relation 15163315
  23. Mon Nov 17 12:29:51 2025 error -1 reading relation 43229811
  24. Mon Nov 17 12:30:30 2025 error -1 reading relation 69890537
  25. Mon Nov 17 12:30:31 2025 error -11 reading relation 70550743
  26. Mon Nov 17 12:31:02 2025 error -1 reading relation 92590041
  27. Mon Nov 17 12:31:19 2025 error -1 reading relation 104166251
  28. Mon Nov 17 12:31:29 2025 error -1 reading relation 111580975
  29. Mon Nov 17 12:31:33 2025 error -1 reading relation 114070417
  30. Mon Nov 17 12:31:34 2025 error -1 reading relation 115168246
  31. Mon Nov 17 12:31:47 2025 error -11 reading relation 123451166
  32. Mon Nov 17 12:31:51 2025 error -1 reading relation 126800457
  33. Mon Nov 17 12:31:56 2025 error -1 reading relation 130004467
  34. Mon Nov 17 12:31:56 2025 error -1 reading relation 130557536
  35. Mon Nov 17 12:31:58 2025 error -1 reading relation 132313423
  36. Mon Nov 17 12:32:02 2025 error -1 reading relation 134750629
  37. Mon Nov 17 12:32:10 2025 error -1 reading relation 140771468
  38. Mon Nov 17 12:32:16 2025 error -1 reading relation 144705850
  39. Mon Nov 17 12:32:19 2025 error -11 reading relation 147126908
  40. Mon Nov 17 12:32:31 2025 error -1 reading relation 155063042
  41. Mon Nov 17 12:32:41 2025 error -1 reading relation 162774423
  42. Mon Nov 17 12:32:48 2025 error -1 reading relation 168684445
  43. Mon Nov 17 12:32:53 2025 error -1 reading relation 171737524
  44. Mon Nov 17 12:32:54 2025 error -1 reading relation 172551881
  45. Mon Nov 17 12:32:54 2025 error -1 reading relation 172776653
  46. Mon Nov 17 12:32:56 2025 error -1 reading relation 174249220
  47. Mon Nov 17 12:33:00 2025 error -1 reading relation 177336168
  48. Mon Nov 17 12:33:02 2025 skipped 70 relations with b > 2^32
  49. Mon Nov 17 12:33:02 2025 skipped 215 malformed relations
  50. Mon Nov 17 12:33:02 2025 found 38769860 hash collisions in 178031341 relations
  51. Mon Nov 17 12:33:05 2025 added 2926300 free relations
  52. Mon Nov 17 12:33:05 2025 commencing duplicate removal, pass 2
  53. Mon Nov 17 12:34:14 2025 found 42902202 duplicates and 138055439 unique relations
  54. Mon Nov 17 12:34:14 2025 memory use: 1321.5 MB
  55. Mon Nov 17 12:34:14 2025 reading ideals above 720000
  56. Mon Nov 17 12:34:14 2025 commencing singleton removal, initial pass
  57. Mon Nov 17 12:41:50 2025 memory use: 3012.0 MB
  58. Mon Nov 17 12:41:50 2025 reading all ideals from disk
  59. Mon Nov 17 12:42:04 2025 memory use: 6401.7 MB
  60. Mon Nov 17 12:42:19 2025 keeping 123724385 ideals with weight <= 200, target excess is 680520
  61. Mon Nov 17 12:42:30 2025 commencing in-memory singleton removal
  62. Mon Nov 17 12:42:31 2025 begin with 138055439 relations and 123724385 unique ideals
  63. Mon Nov 17 12:42:50 2025 reduce to 91418017 relations and 72857323 ideals in 13 passes
  64. Mon Nov 17 12:42:50 2025 max relations containing the same ideal: 162
  65. Mon Nov 17 12:43:16 2025 removing 8873427 relations and 6873427 ideals in 2000000 cliques
  66. Mon Nov 17 12:43:19 2025 commencing in-memory singleton removal
  67. Mon Nov 17 12:43:20 2025 begin with 82544590 relations and 72857323 unique ideals
  68. Mon Nov 17 12:43:27 2025 reduce to 81851065 relations and 65271132 ideals in 7 passes
  69. Mon Nov 17 12:43:27 2025 max relations containing the same ideal: 152
  70. Mon Nov 17 12:43:50 2025 removing 7009495 relations and 5009495 ideals in 2000000 cliques
  71. Mon Nov 17 12:43:52 2025 commencing in-memory singleton removal
  72. Mon Nov 17 12:43:53 2025 begin with 74841570 relations and 65271132 unique ideals
  73. Mon Nov 17 12:43:59 2025 reduce to 74350602 relations and 59758263 ideals in 7 passes
  74. Mon Nov 17 12:43:59 2025 max relations containing the same ideal: 145
  75. Mon Nov 17 12:44:21 2025 removing 6519545 relations and 4519545 ideals in 2000000 cliques
  76. Mon Nov 17 12:44:23 2025 commencing in-memory singleton removal
  77. Mon Nov 17 12:44:24 2025 begin with 67831057 relations and 59758263 unique ideals
  78. Mon Nov 17 12:44:29 2025 reduce to 67375400 relations and 54771630 ideals in 7 passes
  79. Mon Nov 17 12:44:29 2025 max relations containing the same ideal: 135
  80. Mon Nov 17 12:44:49 2025 removing 6289723 relations and 4289723 ideals in 2000000 cliques
  81. Mon Nov 17 12:44:51 2025 commencing in-memory singleton removal
  82. Mon Nov 17 12:44:52 2025 begin with 61085677 relations and 54771630 unique ideals
  83. Mon Nov 17 12:44:56 2025 reduce to 60631440 relations and 50015284 ideals in 7 passes
  84. Mon Nov 17 12:44:56 2025 max relations containing the same ideal: 128
  85. Mon Nov 17 12:45:14 2025 removing 6171358 relations and 4171358 ideals in 2000000 cliques
  86. Mon Nov 17 12:45:16 2025 commencing in-memory singleton removal
  87. Mon Nov 17 12:45:16 2025 begin with 54460082 relations and 50015284 unique ideals
  88. Mon Nov 17 12:45:21 2025 reduce to 53981353 relations and 45350955 ideals in 7 passes
  89. Mon Nov 17 12:45:21 2025 max relations containing the same ideal: 120
  90. Mon Nov 17 12:45:36 2025 removing 6121218 relations and 4121218 ideals in 2000000 cliques
  91. Mon Nov 17 12:45:38 2025 commencing in-memory singleton removal
  92. Mon Nov 17 12:45:39 2025 begin with 47860135 relations and 45350955 unique ideals
  93. Mon Nov 17 12:45:42 2025 reduce to 47336801 relations and 40689166 ideals in 7 passes
  94. Mon Nov 17 12:45:42 2025 max relations containing the same ideal: 107
  95. Mon Nov 17 12:45:57 2025 removing 6118715 relations and 4118715 ideals in 2000000 cliques
  96. Mon Nov 17 12:45:59 2025 commencing in-memory singleton removal
  97. Mon Nov 17 12:45:59 2025 begin with 41218086 relations and 40689166 unique ideals
  98. Mon Nov 17 12:46:02 2025 reduce to 40620527 relations and 35950441 ideals in 7 passes
  99. Mon Nov 17 12:46:02 2025 max relations containing the same ideal: 98
  100. Mon Nov 17 12:46:15 2025 removing 6161168 relations and 4161168 ideals in 2000000 cliques
  101. Mon Nov 17 12:46:16 2025 commencing in-memory singleton removal
  102. Mon Nov 17 12:46:17 2025 begin with 34459359 relations and 35950441 unique ideals
  103. Mon Nov 17 12:46:20 2025 reduce to 33750130 relations and 31049033 ideals in 8 passes
  104. Mon Nov 17 12:46:20 2025 max relations containing the same ideal: 87
  105. Mon Nov 17 12:46:32 2025 removing 6021314 relations and 4109621 ideals in 1911693 cliques
  106. Mon Nov 17 12:46:33 2025 commencing in-memory singleton removal
  107. Mon Nov 17 12:46:33 2025 begin with 27728816 relations and 31049033 unique ideals
  108. Mon Nov 17 12:46:36 2025 reduce to 26896285 relations and 26064613 ideals in 8 passes
  109. Mon Nov 17 12:46:36 2025 max relations containing the same ideal: 76
  110. Mon Nov 17 12:46:45 2025 removing 282324 relations and 240056 ideals in 42268 cliques
  111. Mon Nov 17 12:46:46 2025 commencing in-memory singleton removal
  112. Mon Nov 17 12:46:46 2025 begin with 26613961 relations and 26064613 unique ideals
  113. Mon Nov 17 12:46:47 2025 reduce to 26611741 relations and 25822332 ideals in 5 passes
  114. Mon Nov 17 12:46:47 2025 max relations containing the same ideal: 75
  115. Mon Nov 17 12:46:50 2025 relations with 0 large ideals: 51682
  116. Mon Nov 17 12:46:50 2025 relations with 1 large ideals: 12441
  117. Mon Nov 17 12:46:50 2025 relations with 2 large ideals: 151267
  118. Mon Nov 17 12:46:50 2025 relations with 3 large ideals: 914561
  119. Mon Nov 17 12:46:50 2025 relations with 4 large ideals: 2988037
  120. Mon Nov 17 12:46:50 2025 relations with 5 large ideals: 5827260
  121. Mon Nov 17 12:46:50 2025 relations with 6 large ideals: 7957991
  122. Mon Nov 17 12:46:50 2025 relations with 7+ large ideals: 8708502
  123. Mon Nov 17 12:46:50 2025 commencing 2-way merge
  124. Mon Nov 17 12:47:02 2025 reduce to 17742573 relation sets and 16953163 unique ideals
  125. Mon Nov 17 12:47:03 2025 commencing full merge
  126. Mon Nov 17 12:51:53 2025 memory use: 2193.4 MB
  127. Mon Nov 17 12:51:54 2025 found 8645961 cycles, need 8555363
  128. Mon Nov 17 12:51:56 2025 weight of 8555363 cycles is about 770364241 (90.04/cycle)
  129. Mon Nov 17 12:51:56 2025 distribution of cycle lengths:
  130. Mon Nov 17 12:51:56 2025 1 relations: 646463
  131. Mon Nov 17 12:51:56 2025 2 relations: 751761
  132. Mon Nov 17 12:51:56 2025 3 relations: 788018
  133. Mon Nov 17 12:51:56 2025 4 relations: 773479
  134. Mon Nov 17 12:51:56 2025 5 relations: 754705
  135. Mon Nov 17 12:51:56 2025 6 relations: 716194
  136. Mon Nov 17 12:51:56 2025 7 relations: 664841
  137. Mon Nov 17 12:51:56 2025 8 relations: 602788
  138. Mon Nov 17 12:51:56 2025 9 relations: 529214
  139. Mon Nov 17 12:51:56 2025 10+ relations: 2327900
  140. Mon Nov 17 12:51:56 2025 heaviest cycle: 28 relations
  141. Mon Nov 17 12:51:58 2025 commencing cycle optimization
  142. Mon Nov 17 12:52:12 2025 start with 60883152 relations
  143. Mon Nov 17 12:53:42 2025 pruned 2348531 relations
  144. Mon Nov 17 12:53:43 2025 memory use: 1727.0 MB
  145. Mon Nov 17 12:53:43 2025 distribution of cycle lengths:
  146. Mon Nov 17 12:53:43 2025 1 relations: 646463
  147. Mon Nov 17 12:53:43 2025 2 relations: 766790
  148. Mon Nov 17 12:53:43 2025 3 relations: 819007
  149. Mon Nov 17 12:53:43 2025 4 relations: 802656
  150. Mon Nov 17 12:53:43 2025 5 relations: 788999
  151. Mon Nov 17 12:53:43 2025 6 relations: 745056
  152. Mon Nov 17 12:53:43 2025 7 relations: 692073
  153. Mon Nov 17 12:53:43 2025 8 relations: 621957
  154. Mon Nov 17 12:53:43 2025 9 relations: 541711
  155. Mon Nov 17 12:53:43 2025 10+ relations: 2130651
  156. Mon Nov 17 12:53:43 2025 heaviest cycle: 27 relations
  157. Mon Nov 17 12:53:54 2025 RelProcTime: 1509
  158. Mon Nov 17 12:53:54 2025 elapsed time 00:25:09
  159. Mon Nov 17 12:54:32 2025
  160. Mon Nov 17 12:54:32 2025
  161. Mon Nov 17 12:54:32 2025 Msieve v. 1.54 (SVN Unversioned directory)
  162. Mon Nov 17 12:54:32 2025 random seeds: 117de83e c253e4f3
  163. Mon Nov 17 12:54:32 2025 Using 8 OpenMP threads
  164. Mon Nov 17 12:54:32 2025 factoring 832548541246952610872148475060713788004031039647635824148114185551281962001061610003062324968091616152169880739289531364027035678034983955112258876696159890087300407647504200923 (177 digits)
  165. Mon Nov 17 12:54:33 2025 searching for 15-digit factors
  166. Mon Nov 17 12:54:33 2025 commencing number field sieve (177-digit input)
  167. Mon Nov 17 12:54:33 2025 R0: 282919861606161160015670516569022366664474313370
  168. Mon Nov 17 12:54:33 2025 R1: -531902116564844250118213
  169. Mon Nov 17 12:54:33 2025 A0: 1
  170. Mon Nov 17 12:54:33 2025 A1: 3
  171. Mon Nov 17 12:54:33 2025 A2: -3
  172. Mon Nov 17 12:54:33 2025 A3: -4
  173. Mon Nov 17 12:54:33 2025 A4: 1
  174. Mon Nov 17 12:54:33 2025 A5: 1
  175. Mon Nov 17 12:54:33 2025 skew 1.48, size 3.875e-16, alpha 2.379, combined = 5.063e-13 rroots = 5
  176. Mon Nov 17 12:54:33 2025
  177. Mon Nov 17 12:54:33 2025 commencing linear algebra
  178. Mon Nov 17 12:54:33 2025 using VBITS=256
  179. Mon Nov 17 12:54:33 2025 stopping after matrix build
  180. Mon Nov 17 12:54:33 2025 read 8555363 cycles
  181. Mon Nov 17 12:54:43 2025 cycles contain 26166416 unique relations
  182. Mon Nov 17 12:55:08 2025 read 26166416 relations
  183. Mon Nov 17 12:55:15 2025 using 20 quadratic characters above 4294917295
  184. Mon Nov 17 12:55:25 2025 building initial matrix
  185. Mon Nov 17 12:58:46 2025 memory use: 3211.5 MB
  186. Mon Nov 17 12:58:49 2025 read 8555363 cycles
  187. Mon Nov 17 12:58:50 2025 matrix is 8555184 x 8555363 (3151.8 MB) with weight 904693941 (105.75/col)
  188. Mon Nov 17 12:58:50 2025 sparse part has weight 732116978 (85.57/col)
  189. Mon Nov 17 12:59:42 2025 filtering completed in 2 passes
  190. Mon Nov 17 12:59:43 2025 matrix is 8553711 x 8553874 (3151.7 MB) with weight 904644018 (105.76/col)
  191. Mon Nov 17 12:59:43 2025 sparse part has weight 732097052 (85.59/col)
  192. Mon Nov 17 13:00:01 2025 BLanczosTime: 328
  193. Mon Nov 17 13:00:01 2025 elapsed time 00:05:29
  194.  
  195. Mon Nov 17 15:53:08 2025
  196. Mon Nov 17 15:53:08 2025
  197. Mon Nov 17 15:53:08 2025 Msieve v. 1.54 (SVN unknown)
  198. Mon Nov 17 15:53:08 2025 random seeds: 7b90b09c 1eebf58f
  199. Mon Nov 17 15:53:08 2025 Using 4 OpenMP threads
  200. Mon Nov 17 15:53:08 2025 factoring 832548541246952610872148475060713788004031039647635824148114185551281962001061610003062324968091616152169880739289531364027035678034983955112258876696159890087300407647504200923 (177 digits)
  201. Mon Nov 17 15:53:08 2025 no P-1/P+1/ECM available, skipping
  202. Mon Nov 17 15:53:08 2025 commencing number field sieve (177-digit input)
  203. Mon Nov 17 15:53:08 2025 R0: 282919861606161160015670516569022366664474313370
  204. Mon Nov 17 15:53:08 2025 R1: -531902116564844250118213
  205. Mon Nov 17 15:53:08 2025 A0: 1
  206. Mon Nov 17 15:53:08 2025 A1: 3
  207. Mon Nov 17 15:53:08 2025 A2: -3
  208. Mon Nov 17 15:53:08 2025 A3: -4
  209. Mon Nov 17 15:53:08 2025 A4: 1
  210. Mon Nov 17 15:53:08 2025 A5: 1
  211. Mon Nov 17 15:53:08 2025 skew 1.48, size 3.875e-16, alpha 2.379, combined = 5.063e-13 rroots = 5
  212. Mon Nov 17 15:53:08 2025
  213. Mon Nov 17 15:53:08 2025 commencing linear algebra
  214. Mon Nov 17 15:53:08 2025 using VBITS=256
  215. Mon Nov 17 15:53:08 2025 skipping matrix build
  216. Mon Nov 17 15:53:19 2025 matrix starts at (0, 0)
  217. Mon Nov 17 15:53:24 2025 matrix is 8553711 x 8553874 (3151.7 MB) with weight 904644018 (105.76/col)
  218. Mon Nov 17 15:53:24 2025 sparse part has weight 732097052 (85.59/col)
  219. Mon Nov 17 15:53:24 2025 saving the first 240 matrix rows for later
  220. Mon Nov 17 15:53:29 2025 matrix includes 256 packed rows
  221. Mon Nov 17 15:53:33 2025 matrix is 8553471 x 8553874 (2931.9 MB) with weight 666657116 (77.94/col)
  222. Mon Nov 17 15:53:33 2025 sparse part has weight 631712679 (73.85/col)
  223. Mon Nov 17 15:53:33 2025 using GPU 0 (NVIDIA GeForce RTX 5060 Ti)
  224. Mon Nov 17 15:53:33 2025 selected card has CUDA arch 12.0
  225. Mon Nov 17 15:59:04 2025 commencing Lanczos iteration
  226. Mon Nov 17 15:59:04 2025 memory use: 6973.2 MB
  227. Mon Nov 17 16:00:06 2025 linear algebra at 0.4%, ETA 4h42m
  228. Mon Nov 17 16:01:00 2025 checking every 40000 dimensions, checkpointing every 2440000 dimensions
  229. Mon Nov 17 18:45:44 2025 lanczos halted after 33513 iterations (dim = 8553470)
  230. Mon Nov 17 18:46:22 2025 recovered 37 nontrivial dependencies
  231. Mon Nov 17 18:46:22 2025 BLanczosTime: 10394
  232. Mon Nov 17 18:46:22 2025 elapsed time 02:53:14
  233. Mon Nov 17 20:48:24 2025
  234. Mon Nov 17 20:48:24 2025
  235. Mon Nov 17 20:48:24 2025 Msieve v. 1.54 (SVN unknown)
  236. Mon Nov 17 20:48:24 2025 random seeds: 9b42e12c 109b6731
  237. Mon Nov 17 20:48:24 2025 Using 4 OpenMP threads
  238. Mon Nov 17 20:48:24 2025 factoring 832548541246952610872148475060713788004031039647635824148114185551281962001061610003062324968091616152169880739289531364027035678034983955112258876696159890087300407647504200923 (177 digits)
  239. Mon Nov 17 20:48:25 2025 no P-1/P+1/ECM available, skipping
  240. Mon Nov 17 20:48:25 2025 commencing number field sieve (177-digit input)
  241. Mon Nov 17 20:48:25 2025 R0: 282919861606161160015670516569022366664474313370
  242. Mon Nov 17 20:48:25 2025 R1: -531902116564844250118213
  243. Mon Nov 17 20:48:25 2025 A0: 1
  244. Mon Nov 17 20:48:25 2025 A1: 3
  245. Mon Nov 17 20:48:25 2025 A2: -3
  246. Mon Nov 17 20:48:25 2025 A3: -4
  247. Mon Nov 17 20:48:25 2025 A4: 1
  248. Mon Nov 17 20:48:25 2025 A5: 1
  249. Mon Nov 17 20:48:25 2025 skew 1.48, size 3.875e-16, alpha 2.379, combined = 5.063e-13 rroots = 5
  250. Mon Nov 17 20:48:25 2025
  251. Mon Nov 17 20:48:25 2025 commencing square root phase
  252. Mon Nov 17 20:48:25 2025 reading relations for dependency 1
  253. Mon Nov 17 20:48:27 2025 read 4275906 cycles
  254. Mon Nov 17 20:48:35 2025 cycles contain 13081984 unique relations
  255. Mon Nov 17 20:50:03 2025 read 13081984 relations
  256. Mon Nov 17 20:51:07 2025 multiplying 13081984 relations
  257. Mon Nov 17 20:53:23 2025 multiply complete, coefficients have about 326.02 million bits
  258. Mon Nov 17 20:53:23 2025 initial square root is modulo 707801
  259. Mon Nov 17 20:56:33 2025 GCD is N, no factor found
  260. Mon Nov 17 20:56:33 2025 reading relations for dependency 2
  261. Mon Nov 17 20:56:34 2025 read 4278237 cycles
  262. Mon Nov 17 20:56:42 2025 cycles contain 13083976 unique relations
  263. Mon Nov 17 20:57:18 2025 read 13083976 relations
  264. Mon Nov 17 20:58:19 2025 multiplying 13083976 relations
  265. Mon Nov 17 21:00:31 2025 multiply complete, coefficients have about 326.06 million bits
  266. Mon Nov 17 21:00:32 2025 initial square root is modulo 708937
  267. Mon Nov 17 21:03:43 2025 GCD is N, no factor found
  268. Mon Nov 17 21:03:43 2025 reading relations for dependency 3
  269. Mon Nov 17 21:03:44 2025 read 4275123 cycles
  270. Mon Nov 17 21:03:52 2025 cycles contain 13074898 unique relations
  271. Mon Nov 17 21:04:21 2025 read 13074898 relations
  272. Mon Nov 17 21:05:20 2025 multiplying 13074898 relations
  273. Mon Nov 17 21:07:32 2025 multiply complete, coefficients have about 325.83 million bits
  274. Mon Nov 17 21:07:34 2025 initial square root is modulo 702211
  275. Mon Nov 17 21:10:46 2025 sqrtTime: 1341
  276. Mon Nov 17 21:10:46 2025 p60 factor: 325448298504251007671647731210886421094611434844820350304113
  277. Mon Nov 17 21:10:46 2025 p118 factor: 2558159145625638773216072226662635227107645280367838312544608447835741563473703219750056605557836069138367785323375371
  278. Mon Nov 17 21:10:46 2025 elapsed time 00:22:22
  279.  
Tags: math
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