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Jul 28th, 2025
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  1. Sun Jul 27 20:44:30 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Sun Jul 27 20:44:30 2025 random seeds: 63fa274d ba756e21
  3. Sun Jul 27 20:44:30 2025 Using 16 OpenMP threads
  4. Sun Jul 27 20:44:30 2025 factoring 91738453297145334747585175225325046568559308978849018898504420857721641191328784293662747057712340938466088503899976791681908658054195774380844630104241578734043263879688456769830929749397874681908446748695553 (209 digits)
  5. Sun Jul 27 20:44:31 2025 no P-1/P+1/ECM available, skipping
  6. Sun Jul 27 20:44:31 2025 commencing number field sieve (209-digit input)
  7. Sun Jul 27 20:44:31 2025 R0: 542101086242752217003726400434970855712890625
  8. Sun Jul 27 20:44:31 2025 R1: -3433683820292512484657849089281
  9. Sun Jul 27 20:44:31 2025 A0: 1
  10. Sun Jul 27 20:44:31 2025 A1: -1
  11. Sun Jul 27 20:44:31 2025 A2: 1
  12. Sun Jul 27 20:44:31 2025 A3: -1
  13. Sun Jul 27 20:44:31 2025 A4: 1
  14. Sun Jul 27 20:44:31 2025 A5: -1
  15. Sun Jul 27 20:44:31 2025 A6: 1
  16. Sun Jul 27 20:44:31 2025 skew 1.00, size 3.219e-13, alpha 2.428, combined = 4.900e-14 rroots = 0
  17. Sun Jul 27 20:44:31 2025
  18. Sun Jul 27 20:44:31 2025 commencing relation filtering
  19. Sun Jul 27 20:44:31 2025 setting target matrix density to 110.0
  20. Sun Jul 27 20:44:31 2025 estimated available RAM is 128734.6 MB
  21. Sun Jul 27 20:44:31 2025 commencing duplicate removal, pass 1
  22. Sun Jul 27 20:49:21 2025 skipped 1328 relations with b > 2^32
  23. Sun Jul 27 20:49:21 2025 found 14214183 hash collisions in 256926687 relations
  24. Sun Jul 27 20:49:26 2025 added 2438534 free relations
  25. Sun Jul 27 20:49:26 2025 commencing duplicate removal, pass 2
  26. Sun Jul 27 20:50:32 2025 found 0 duplicates and 259365221 unique relations
  27. Sun Jul 27 20:50:32 2025 memory use: 852.8 MB
  28. Sun Jul 27 20:50:32 2025 reading ideals above 720000
  29. Sun Jul 27 20:50:32 2025 commencing singleton removal, initial pass
  30. Sun Jul 27 21:03:29 2025 memory use: 6024.0 MB
  31. Sun Jul 27 21:03:29 2025 reading all ideals from disk
  32. Sun Jul 27 21:03:31 2025 memory use: 12888.1 MB
  33. Sun Jul 27 21:03:53 2025 keeping 243846165 ideals with weight <= 200, target excess is 1341834
  34. Sun Jul 27 21:04:16 2025 commencing in-memory singleton removal
  35. Sun Jul 27 21:04:22 2025 begin with 259365221 relations and 243846165 unique ideals
  36. Sun Jul 27 21:04:57 2025 reduce to 172617358 relations and 152501508 ideals in 16 passes
  37. Sun Jul 27 21:04:57 2025 max relations containing the same ideal: 165
  38. Sun Jul 27 21:05:45 2025 removing 14609477 relations and 12609477 ideals in 2000000 cliques
  39. Sun Jul 27 21:05:51 2025 commencing in-memory singleton removal
  40. Sun Jul 27 21:05:55 2025 begin with 158007881 relations and 152501508 unique ideals
  41. Sun Jul 27 21:06:17 2025 reduce to 157003915 relations and 138872683 ideals in 9 passes
  42. Sun Jul 27 21:06:17 2025 max relations containing the same ideal: 153
  43. Sun Jul 27 21:06:57 2025 removing 11078117 relations and 9078117 ideals in 2000000 cliques
  44. Sun Jul 27 21:07:03 2025 commencing in-memory singleton removal
  45. Sun Jul 27 21:07:06 2025 begin with 145925798 relations and 138872683 unique ideals
  46. Sun Jul 27 21:07:25 2025 reduce to 145265957 relations and 129125758 ideals in 8 passes
  47. Sun Jul 27 21:07:25 2025 max relations containing the same ideal: 146
  48. Sun Jul 27 21:08:07 2025 removing 10000632 relations and 8000632 ideals in 2000000 cliques
  49. Sun Jul 27 21:08:11 2025 commencing in-memory singleton removal
  50. Sun Jul 27 21:08:13 2025 begin with 135265325 relations and 129125758 unique ideals
  51. Sun Jul 27 21:08:24 2025 reduce to 134679345 relations and 120531353 ideals in 9 passes
  52. Sun Jul 27 21:08:24 2025 max relations containing the same ideal: 137
  53. Sun Jul 27 21:09:04 2025 removing 9452732 relations and 7452732 ideals in 2000000 cliques
  54. Sun Jul 27 21:09:08 2025 commencing in-memory singleton removal
  55. Sun Jul 27 21:09:11 2025 begin with 125226613 relations and 120531353 unique ideals
  56. Sun Jul 27 21:09:30 2025 reduce to 124662173 relations and 112506372 ideals in 9 passes
  57. Sun Jul 27 21:09:30 2025 max relations containing the same ideal: 131
  58. Sun Jul 27 21:10:00 2025 removing 9121619 relations and 7121619 ideals in 2000000 cliques
  59. Sun Jul 27 21:10:04 2025 commencing in-memory singleton removal
  60. Sun Jul 27 21:10:06 2025 begin with 115540554 relations and 112506372 unique ideals
  61. Sun Jul 27 21:10:23 2025 reduce to 114978196 relations and 104814097 ideals in 9 passes
  62. Sun Jul 27 21:10:23 2025 max relations containing the same ideal: 127
  63. Sun Jul 27 21:10:58 2025 removing 8916488 relations and 6916488 ideals in 2000000 cliques
  64. Sun Jul 27 21:11:02 2025 commencing in-memory singleton removal
  65. Sun Jul 27 21:11:05 2025 begin with 106061708 relations and 104814097 unique ideals
  66. Sun Jul 27 21:11:17 2025 reduce to 105480183 relations and 97307064 ideals in 8 passes
  67. Sun Jul 27 21:11:17 2025 max relations containing the same ideal: 118
  68. Sun Jul 27 21:11:49 2025 removing 8785630 relations and 6785630 ideals in 2000000 cliques
  69. Sun Jul 27 21:11:51 2025 commencing in-memory singleton removal
  70. Sun Jul 27 21:11:53 2025 begin with 96694553 relations and 97307064 unique ideals
  71. Sun Jul 27 21:12:00 2025 reduce to 96081064 relations and 89897677 ideals in 9 passes
  72. Sun Jul 27 21:12:00 2025 max relations containing the same ideal: 113
  73. Sun Jul 27 21:12:32 2025 removing 8723336 relations and 6723336 ideals in 2000000 cliques
  74. Sun Jul 27 21:12:34 2025 commencing in-memory singleton removal
  75. Sun Jul 27 21:12:35 2025 begin with 87357728 relations and 89897677 unique ideals
  76. Sun Jul 27 21:12:44 2025 reduce to 86699012 relations and 82503766 ideals in 10 passes
  77. Sun Jul 27 21:12:44 2025 max relations containing the same ideal: 103
  78. Sun Jul 27 21:13:12 2025 removing 8699430 relations and 6699430 ideals in 2000000 cliques
  79. Sun Jul 27 21:13:15 2025 commencing in-memory singleton removal
  80. Sun Jul 27 21:13:16 2025 begin with 77999582 relations and 82503766 unique ideals
  81. Sun Jul 27 21:13:26 2025 reduce to 77274195 relations and 75064418 ideals in 9 passes
  82. Sun Jul 27 21:13:26 2025 max relations containing the same ideal: 96
  83. Sun Jul 27 21:13:52 2025 removing 3588783 relations and 2935534 ideals in 653249 cliques
  84. Sun Jul 27 21:13:54 2025 commencing in-memory singleton removal
  85. Sun Jul 27 21:13:55 2025 begin with 73685412 relations and 75064418 unique ideals
  86. Sun Jul 27 21:14:00 2025 reduce to 73561102 relations and 72003610 ideals in 8 passes
  87. Sun Jul 27 21:14:00 2025 max relations containing the same ideal: 93
  88. Sun Jul 27 21:14:33 2025 relations with 0 large ideals: 102602
  89. Sun Jul 27 21:14:33 2025 relations with 1 large ideals: 20553
  90. Sun Jul 27 21:14:33 2025 relations with 2 large ideals: 231088
  91. Sun Jul 27 21:14:33 2025 relations with 3 large ideals: 1571586
  92. Sun Jul 27 21:14:33 2025 relations with 4 large ideals: 5889995
  93. Sun Jul 27 21:14:33 2025 relations with 5 large ideals: 13321417
  94. Sun Jul 27 21:14:33 2025 relations with 6 large ideals: 18974254
  95. Sun Jul 27 21:14:33 2025 relations with 7+ large ideals: 33449607
  96. Sun Jul 27 21:14:33 2025 commencing 2-way merge
  97. Sun Jul 27 21:15:04 2025 reduce to 46072189 relation sets and 44514697 unique ideals
  98. Sun Jul 27 21:15:04 2025 commencing full merge
  99. Sun Jul 27 21:32:24 2025 memory use: 6223.7 MB
  100. Sun Jul 27 21:32:29 2025 found 21342866 cycles, need 21260897
  101. Sun Jul 27 21:32:36 2025 weight of 21260897 cycles is about 2339134400 (110.02/cycle)
  102. Sun Jul 27 21:32:36 2025 distribution of cycle lengths:
  103. Sun Jul 27 21:32:36 2025 1 relations: 1806801
  104. Sun Jul 27 21:32:36 2025 2 relations: 1758476
  105. Sun Jul 27 21:32:36 2025 3 relations: 1695962
  106. Sun Jul 27 21:32:36 2025 4 relations: 1592801
  107. Sun Jul 27 21:32:36 2025 5 relations: 1524756
  108. Sun Jul 27 21:32:36 2025 6 relations: 1451005
  109. Sun Jul 27 21:32:36 2025 7 relations: 1361401
  110. Sun Jul 27 21:32:36 2025 8 relations: 1282547
  111. Sun Jul 27 21:32:36 2025 9 relations: 1191467
  112. Sun Jul 27 21:32:36 2025 10+ relations: 7595681
  113. Sun Jul 27 21:32:36 2025 heaviest cycle: 28 relations
  114. Sun Jul 27 21:32:44 2025 commencing cycle optimization
  115. Sun Jul 27 21:33:23 2025 start with 173755323 relations
  116. Sun Jul 27 21:39:04 2025 pruned 6519890 relations
  117. Sun Jul 27 21:39:04 2025 memory use: 4803.8 MB
  118. Sun Jul 27 21:39:04 2025 distribution of cycle lengths:
  119. Sun Jul 27 21:39:04 2025 1 relations: 1806801
  120. Sun Jul 27 21:39:04 2025 2 relations: 1790930
  121. Sun Jul 27 21:39:04 2025 3 relations: 1753304
  122. Sun Jul 27 21:39:04 2025 4 relations: 1644770
  123. Sun Jul 27 21:39:04 2025 5 relations: 1585157
  124. Sun Jul 27 21:39:04 2025 6 relations: 1502174
  125. Sun Jul 27 21:39:04 2025 7 relations: 1414364
  126. Sun Jul 27 21:39:04 2025 8 relations: 1326315
  127. Sun Jul 27 21:39:04 2025 9 relations: 1228563
  128. Sun Jul 27 21:39:04 2025 10+ relations: 7208519
  129. Sun Jul 27 21:39:04 2025 heaviest cycle: 28 relations
  130. Sun Jul 27 21:39:39 2025 RelProcTime: 3308
  131. Sun Jul 27 21:39:39 2025 elapsed time 00:55:09
  132. Sun Jul 27 22:00:53 2025
  133. Sun Jul 27 22:00:53 2025
  134. Sun Jul 27 22:00:53 2025 Msieve v. 1.54 (SVN 66ed352)
  135. Sun Jul 27 22:00:53 2025 random seeds: 37dc4424 361befb5
  136. Sun Jul 27 22:00:53 2025 MPI process 0 of 2
  137. Sun Jul 27 22:00:53 2025 Using 8 OpenMP threads
  138. Sun Jul 27 22:00:53 2025 factoring 91738453297145334747585175225325046568559308978849018898504420857721641191328784293662747057712340938466088503899976791681908658054195774380844630104241578734043263879688456769830929749397874681908446748695553 (209 digits)
  139. Sun Jul 27 22:00:54 2025 no P-1/P+1/ECM available, skipping
  140. Sun Jul 27 22:00:54 2025 commencing number field sieve (209-digit input)
  141. Sun Jul 27 22:00:54 2025 R0: 542101086242752217003726400434970855712890625
  142. Sun Jul 27 22:00:54 2025 R1: -3433683820292512484657849089281
  143. Sun Jul 27 22:00:54 2025 A0: 1
  144. Sun Jul 27 22:00:54 2025 A1: -1
  145. Sun Jul 27 22:00:54 2025 A2: 1
  146. Sun Jul 27 22:00:54 2025 A3: -1
  147. Sun Jul 27 22:00:54 2025 A4: 1
  148. Sun Jul 27 22:00:54 2025 A5: -1
  149. Sun Jul 27 22:00:54 2025 A6: 1
  150. Sun Jul 27 22:00:54 2025 skew 1.00, size 3.219e-13, alpha 2.428, combined = 4.900e-14 rroots = 0
  151. Sun Jul 27 22:00:54 2025
  152. Sun Jul 27 22:00:54 2025 commencing linear algebra
  153. Sun Jul 27 22:00:54 2025 using VBITS=256
  154. Sun Jul 27 22:00:54 2025 initialized process (0,0) of 1 x 2 grid
  155. Sun Jul 27 22:00:56 2025 read 21260897 cycles
  156. Sun Jul 27 22:01:30 2025 cycles contain 72570007 unique relations
  157. Sun Jul 27 22:02:37 2025 read 72570007 relations
  158. Sun Jul 27 22:02:54 2025 using 20 quadratic characters above 4294917295
  159. Sun Jul 27 22:03:21 2025 building initial matrix
  160. Sun Jul 27 22:16:51 2025 memory use: 9179.7 MB
  161. Sun Jul 27 22:17:06 2025 read 21260897 cycles
  162. Sun Jul 27 22:17:09 2025 matrix is 21260720 x 21260897 (9329.1 MB) with weight 2642506196 (124.29/col)
  163. Sun Jul 27 22:17:09 2025 sparse part has weight 2211706906 (104.03/col)
  164. Sun Jul 27 22:20:11 2025 filtering completed in 2 passes
  165. Sun Jul 27 22:20:14 2025 matrix is 21259480 x 21259644 (9329.0 MB) with weight 2642467445 (124.29/col)
  166. Sun Jul 27 22:20:14 2025 sparse part has weight 2211694408 (104.03/col)
  167. Sun Jul 27 22:21:04 2025 matrix starts at (0, 0)
  168. Sun Jul 27 22:21:05 2025 matrix is 21259480 x 10629811 (4664.5 MB) with weight 1321228718 (124.29/col)
  169. Sun Jul 27 22:21:05 2025 sparse part has weight 1105847362 (104.03/col)
  170. Sun Jul 27 22:21:05 2025 saving the first 240 matrix rows for later
  171. Sun Jul 27 22:21:06 2025 matrix includes 256 packed rows
  172. Sun Jul 27 22:21:09 2025 matrix is 21259240 x 10629811 (4333.8 MB) with weight 1014583513 (95.45/col)
  173. Sun Jul 27 22:21:09 2025 sparse part has weight 966011541 (90.88/col)
  174. Sun Jul 27 22:21:09 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  175. Sun Jul 27 22:21:09 2025 selected card has CUDA arch 8.6
  176. Sun Jul 27 22:22:02 2025 commencing Lanczos iteration
  177. Sun Jul 27 22:22:05 2025 memory use: 11060.1 MB
  178. Sun Jul 27 22:22:42 2025 linear algebra at 0.1%, ETA 6h55m
  179. Sun Jul 27 22:23:36 2025 checking every 50000 dimensions, checkpointing every 3100000 dimensions
  180. Mon Jul 28 05:17:38 2025 lanczos halted after 83297 iterations (dim = 21259238)
  181. Mon Jul 28 05:18:52 2025 recovered 38 nontrivial dependencies
  182. Mon Jul 28 05:18:53 2025 BLanczosTime: 26279
  183. Mon Jul 28 05:18:53 2025 elapsed time 07:18:00
  184. Mon Jul 28 10:26:43 2025
  185. Mon Jul 28 10:26:43 2025
  186. Mon Jul 28 10:26:43 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  187. Mon Jul 28 10:26:43 2025 random seeds: ea315673 01eca67b
  188. Mon Jul 28 10:26:43 2025 Using 16 OpenMP threads
  189. Mon Jul 28 10:26:43 2025 factoring 91738453297145334747585175225325046568559308978849018898504420857721641191328784293662747057712340938466088503899976791681908658054195774380844630104241578734043263879688456769830929749397874681908446748695553 (209 digits)
  190. Mon Jul 28 10:26:44 2025 no P-1/P+1/ECM available, skipping
  191. Mon Jul 28 10:26:44 2025 commencing number field sieve (209-digit input)
  192. Mon Jul 28 10:26:44 2025 R0: 542101086242752217003726400434970855712890625
  193. Mon Jul 28 10:26:44 2025 R1: -3433683820292512484657849089281
  194. Mon Jul 28 10:26:44 2025 A0: 1
  195. Mon Jul 28 10:26:44 2025 A1: -1
  196. Mon Jul 28 10:26:44 2025 A2: 1
  197. Mon Jul 28 10:26:44 2025 A3: -1
  198. Mon Jul 28 10:26:44 2025 A4: 1
  199. Mon Jul 28 10:26:44 2025 A5: -1
  200. Mon Jul 28 10:26:44 2025 A6: 1
  201. Mon Jul 28 10:26:44 2025 skew 1.00, size 3.219e-13, alpha 2.428, combined = 4.900e-14 rroots = 0
  202. Mon Jul 28 10:26:44 2025
  203. Mon Jul 28 10:26:44 2025 commencing square root phase
  204. Mon Jul 28 10:26:44 2025 reading relations for dependency 1
  205. Mon Jul 28 10:26:46 2025 read 10629075 cycles
  206. Mon Jul 28 10:27:03 2025 cycles contain 36285162 unique relations
  207. Mon Jul 28 10:27:41 2025 read 36285162 relations
  208. Mon Jul 28 10:29:47 2025 multiplying 36285162 relations
  209. Mon Jul 28 10:32:14 2025 multiply complete, coefficients have about 952.19 million bits
  210. Mon Jul 28 10:32:17 2025 initial square root is modulo 348801787
  211. Mon Jul 28 10:38:20 2025 GCD is N, no factor found
  212. Mon Jul 28 10:38:20 2025 reading relations for dependency 2
  213. Mon Jul 28 10:38:21 2025 read 10629096 cycles
  214. Mon Jul 28 10:38:39 2025 cycles contain 36289730 unique relations
  215. Mon Jul 28 10:39:16 2025 read 36289730 relations
  216. Mon Jul 28 10:41:27 2025 multiplying 36289730 relations
  217. Mon Jul 28 10:44:12 2025 multiply complete, coefficients have about 952.31 million bits
  218. Mon Jul 28 10:44:14 2025 initial square root is modulo 349656583
  219. Mon Jul 28 10:50:23 2025 GCD is N, no factor found
  220. Mon Jul 28 10:50:23 2025 reading relations for dependency 3
  221. Mon Jul 28 10:50:24 2025 read 10629036 cycles
  222. Mon Jul 28 10:50:41 2025 cycles contain 36281904 unique relations
  223. Mon Jul 28 10:51:18 2025 read 36281904 relations
  224. Mon Jul 28 10:53:32 2025 multiplying 36281904 relations
  225. Mon Jul 28 10:56:19 2025 multiply complete, coefficients have about 952.10 million bits
  226. Mon Jul 28 10:56:21 2025 initial square root is modulo 348112847
  227. Mon Jul 28 11:02:23 2025 GCD is 1, no factor found
  228. Mon Jul 28 11:02:23 2025 reading relations for dependency 4
  229. Mon Jul 28 11:02:25 2025 read 10627562 cycles
  230. Mon Jul 28 11:02:43 2025 cycles contain 36278058 unique relations
  231. Mon Jul 28 11:03:28 2025 read 36278058 relations
  232. Mon Jul 28 11:05:48 2025 multiplying 36278058 relations
  233. Mon Jul 28 11:08:42 2025 multiply complete, coefficients have about 952.01 million bits
  234. Mon Jul 28 11:08:44 2025 initial square root is modulo 347465837
  235. Mon Jul 28 11:15:04 2025 GCD is N, no factor found
  236. Mon Jul 28 11:15:04 2025 reading relations for dependency 5
  237. Mon Jul 28 11:15:05 2025 read 10634583 cycles
  238. Mon Jul 28 11:15:25 2025 cycles contain 36302278 unique relations
  239. Mon Jul 28 11:16:10 2025 read 36302278 relations
  240. Mon Jul 28 11:18:26 2025 multiplying 36302278 relations
  241. Mon Jul 28 11:21:06 2025 multiply complete, coefficients have about 952.63 million bits
  242. Mon Jul 28 11:21:08 2025 initial square root is modulo 351952907
  243. Mon Jul 28 11:27:25 2025 sqrtTime: 3641
  244. Mon Jul 28 11:27:25 2025 p71 factor: 27394043862486765605360225953023656949900458337174851740812083986291457
  245. Mon Jul 28 11:27:25 2025 p139 factor: 3348846696663554877023477073723182121299545347241010866673009893210015977294975476505044617775987117035546820567573500463154158484187676929
  246. Mon Jul 28 11:27:25 2025 elapsed time 01:00:42
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