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gchilders

165__257_7m1

Sep 5th, 2023
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  1. Sun Sep 3 23:19:34 2023
  2. Sun Sep 3 23:19:34 2023
  3. Sun Sep 3 23:19:34 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Sep 3 23:19:34 2023 random seeds: 40ecc8f3 3cf663b3
  5. Sun Sep 3 23:19:34 2023 MPI process 0 of 1
  6. Sun Sep 3 23:19:34 2023 Using 46 OpenMP threads
  7. Sun Sep 3 23:19:34 2023 factoring 278643348509049562500022090282716341957701541505346059652741954713828248636506118993295717951192782826489886901204196326218041791589363650404890690654572035019838807085154796579813017312465580588981088078150023422839867836426218846964212979178840991509652099 (258 digits)
  8. Sun Sep 3 23:19:35 2023 no P-1/P+1/ECM available, skipping
  9. Sun Sep 3 23:19:35 2023 commencing number field sieve (258-digit input)
  10. Sun Sep 3 23:19:35 2023 R0: 165543788931117927824524680022311579852222257
  11. Sun Sep 3 23:19:35 2023 R1: -1
  12. Sun Sep 3 23:19:35 2023 A0: 1
  13. Sun Sep 3 23:19:35 2023 A1: 1
  14. Sun Sep 3 23:19:35 2023 A2: 1
  15. Sun Sep 3 23:19:35 2023 A3: 1
  16. Sun Sep 3 23:19:35 2023 A4: 1
  17. Sun Sep 3 23:19:35 2023 A5: 1
  18. Sun Sep 3 23:19:35 2023 A6: 1
  19. Sun Sep 3 23:19:35 2023 skew 1.00, size 4.518e-13, alpha 2.428, combined = 6.341e-14 rroots = 0
  20. Sun Sep 3 23:19:35 2023
  21. Sun Sep 3 23:19:35 2023 commencing relation filtering
  22. Sun Sep 3 23:19:35 2023 setting target matrix density to 110.0
  23. Sun Sep 3 23:19:35 2023 estimated available RAM is 192069.2 MB
  24. Sun Sep 3 23:19:35 2023 commencing duplicate removal, pass 1
  25. Sun Sep 3 23:22:58 2023 skipped 663 relations with b > 2^32
  26. Sun Sep 3 23:22:58 2023 skipped 1 relations with composite factors
  27. Sun Sep 3 23:22:58 2023 skipped 267 malformed relations
  28. Sun Sep 3 23:22:58 2023 found 9306839 hash collisions in 288959691 relations
  29. Sun Sep 3 23:23:06 2023 added 2438534 free relations
  30. Sun Sep 3 23:23:06 2023 commencing duplicate removal, pass 2
  31. Sun Sep 3 23:24:16 2023 found 0 duplicates and 291398225 unique relations
  32. Sun Sep 3 23:24:16 2023 memory use: 810.4 MB
  33. Sun Sep 3 23:24:16 2023 reading ideals above 720000
  34. Sun Sep 3 23:24:16 2023 commencing singleton removal, initial pass
  35. Sun Sep 3 23:35:14 2023 memory use: 6024.0 MB
  36. Sun Sep 3 23:35:15 2023 reading all ideals from disk
  37. Sun Sep 3 23:35:22 2023 memory use: 14297.1 MB
  38. Sun Sep 3 23:35:43 2023 keeping 301628650 ideals with weight <= 200, target excess is 1514552
  39. Sun Sep 3 23:36:09 2023 commencing in-memory singleton removal
  40. Sun Sep 3 23:36:12 2023 begin with 291398225 relations and 301628650 unique ideals
  41. Sun Sep 3 23:36:27 2023 reduce to 138245001 relations and 127342112 ideals in 20 passes
  42. Sun Sep 3 23:36:27 2023 max relations containing the same ideal: 127
  43. Sun Sep 3 23:37:06 2023 removing 10202547 relations and 9202547 ideals in 1000000 cliques
  44. Sun Sep 3 23:37:12 2023 commencing in-memory singleton removal
  45. Sun Sep 3 23:37:13 2023 begin with 128042454 relations and 127342112 unique ideals
  46. Sun Sep 3 23:37:20 2023 reduce to 127379333 relations and 117469231 ideals in 11 passes
  47. Sun Sep 3 23:37:20 2023 max relations containing the same ideal: 120
  48. Sun Sep 3 23:37:55 2023 removing 7522052 relations and 6522052 ideals in 1000000 cliques
  49. Sun Sep 3 23:38:00 2023 commencing in-memory singleton removal
  50. Sun Sep 3 23:38:02 2023 begin with 119857281 relations and 117469231 unique ideals
  51. Sun Sep 3 23:38:07 2023 reduce to 119455697 relations and 110541990 ideals in 10 passes
  52. Sun Sep 3 23:38:07 2023 max relations containing the same ideal: 116
  53. Sun Sep 3 23:38:41 2023 removing 6681932 relations and 5681932 ideals in 1000000 cliques
  54. Sun Sep 3 23:38:45 2023 commencing in-memory singleton removal
  55. Sun Sep 3 23:38:46 2023 begin with 112773765 relations and 110541990 unique ideals
  56. Sun Sep 3 23:38:51 2023 reduce to 112434623 relations and 104517895 ideals in 9 passes
  57. Sun Sep 3 23:38:51 2023 max relations containing the same ideal: 115
  58. Sun Sep 3 23:39:23 2023 removing 6234077 relations and 5234077 ideals in 1000000 cliques
  59. Sun Sep 3 23:39:27 2023 commencing in-memory singleton removal
  60. Sun Sep 3 23:39:28 2023 begin with 106200546 relations and 104517895 unique ideals
  61. Sun Sep 3 23:39:33 2023 reduce to 105887641 relations and 98968210 ideals in 10 passes
  62. Sun Sep 3 23:39:33 2023 max relations containing the same ideal: 107
  63. Sun Sep 3 23:40:04 2023 removing 5946373 relations and 4946373 ideals in 1000000 cliques
  64. Sun Sep 3 23:40:08 2023 commencing in-memory singleton removal
  65. Sun Sep 3 23:40:09 2023 begin with 99941268 relations and 98968210 unique ideals
  66. Sun Sep 3 23:40:13 2023 reduce to 99639065 relations and 93716906 ideals in 9 passes
  67. Sun Sep 3 23:40:13 2023 max relations containing the same ideal: 105
  68. Sun Sep 3 23:40:42 2023 removing 5756457 relations and 4756457 ideals in 1000000 cliques
  69. Sun Sep 3 23:40:46 2023 commencing in-memory singleton removal
  70. Sun Sep 3 23:40:47 2023 begin with 93882608 relations and 93716906 unique ideals
  71. Sun Sep 3 23:40:50 2023 reduce to 93582300 relations and 88657286 ideals in 8 passes
  72. Sun Sep 3 23:40:50 2023 max relations containing the same ideal: 99
  73. Sun Sep 3 23:41:18 2023 removing 5622441 relations and 4622441 ideals in 1000000 cliques
  74. Sun Sep 3 23:41:21 2023 commencing in-memory singleton removal
  75. Sun Sep 3 23:41:22 2023 begin with 87959859 relations and 88657286 unique ideals
  76. Sun Sep 3 23:41:26 2023 reduce to 87654409 relations and 83726411 ideals in 9 passes
  77. Sun Sep 3 23:41:26 2023 max relations containing the same ideal: 94
  78. Sun Sep 3 23:41:51 2023 removing 5527928 relations and 4527928 ideals in 1000000 cliques
  79. Sun Sep 3 23:41:55 2023 commencing in-memory singleton removal
  80. Sun Sep 3 23:41:56 2023 begin with 82126481 relations and 83726411 unique ideals
  81. Sun Sep 3 23:41:59 2023 reduce to 81808915 relations and 78877590 ideals in 8 passes
  82. Sun Sep 3 23:41:59 2023 max relations containing the same ideal: 89
  83. Sun Sep 3 23:42:23 2023 removing 5476122 relations and 4476122 ideals in 1000000 cliques
  84. Sun Sep 3 23:42:26 2023 commencing in-memory singleton removal
  85. Sun Sep 3 23:42:27 2023 begin with 76332793 relations and 78877590 unique ideals
  86. Sun Sep 3 23:42:30 2023 reduce to 75997236 relations and 74062162 ideals in 11 passes
  87. Sun Sep 3 23:42:30 2023 max relations containing the same ideal: 84
  88. Sun Sep 3 23:42:53 2023 removing 1337565 relations and 1159372 ideals in 178193 cliques
  89. Sun Sep 3 23:42:55 2023 commencing in-memory singleton removal
  90. Sun Sep 3 23:42:56 2023 begin with 74659671 relations and 74062162 unique ideals
  91. Sun Sep 3 23:42:58 2023 reduce to 74640844 relations and 72883911 ideals in 6 passes
  92. Sun Sep 3 23:42:58 2023 max relations containing the same ideal: 83
  93. Sun Sep 3 23:43:10 2023 relations with 0 large ideals: 114079
  94. Sun Sep 3 23:43:10 2023 relations with 1 large ideals: 36396
  95. Sun Sep 3 23:43:10 2023 relations with 2 large ideals: 372324
  96. Sun Sep 3 23:43:10 2023 relations with 3 large ideals: 2298494
  97. Sun Sep 3 23:43:10 2023 relations with 4 large ideals: 7800555
  98. Sun Sep 3 23:43:10 2023 relations with 5 large ideals: 15835648
  99. Sun Sep 3 23:43:10 2023 relations with 6 large ideals: 19966274
  100. Sun Sep 3 23:43:10 2023 relations with 7+ large ideals: 28217074
  101. Sun Sep 3 23:43:10 2023 commencing 2-way merge
  102. Sun Sep 3 23:43:46 2023 reduce to 44985819 relation sets and 43228885 unique ideals
  103. Sun Sep 3 23:43:46 2023 commencing full merge
  104. Sun Sep 3 23:57:05 2023 memory use: 5620.8 MB
  105. Sun Sep 3 23:57:09 2023 found 20197121 cycles, need 20137085
  106. Sun Sep 3 23:57:14 2023 weight of 20137085 cycles is about 2215160172 (110.00/cycle)
  107. Sun Sep 3 23:57:14 2023 distribution of cycle lengths:
  108. Sun Sep 3 23:57:14 2023 1 relations: 2083145
  109. Sun Sep 3 23:57:14 2023 2 relations: 1728804
  110. Sun Sep 3 23:57:14 2023 3 relations: 1585987
  111. Sun Sep 3 23:57:14 2023 4 relations: 1474660
  112. Sun Sep 3 23:57:14 2023 5 relations: 1386012
  113. Sun Sep 3 23:57:14 2023 6 relations: 1293282
  114. Sun Sep 3 23:57:14 2023 7 relations: 1203381
  115. Sun Sep 3 23:57:14 2023 8 relations: 1122251
  116. Sun Sep 3 23:57:14 2023 9 relations: 1030597
  117. Sun Sep 3 23:57:14 2023 10+ relations: 7228966
  118. Sun Sep 3 23:57:14 2023 heaviest cycle: 28 relations
  119. Sun Sep 3 23:57:21 2023 commencing cycle optimization
  120. Sun Sep 3 23:57:56 2023 start with 165811624 relations
  121. Mon Sep 4 00:03:04 2023 pruned 5536316 relations
  122. Mon Sep 4 00:03:04 2023 memory use: 4723.5 MB
  123. Mon Sep 4 00:03:04 2023 distribution of cycle lengths:
  124. Mon Sep 4 00:03:04 2023 1 relations: 2083145
  125. Mon Sep 4 00:03:04 2023 2 relations: 1761589
  126. Mon Sep 4 00:03:04 2023 3 relations: 1638254
  127. Mon Sep 4 00:03:04 2023 4 relations: 1518254
  128. Mon Sep 4 00:03:04 2023 5 relations: 1433874
  129. Mon Sep 4 00:03:04 2023 6 relations: 1332649
  130. Mon Sep 4 00:03:04 2023 7 relations: 1243020
  131. Mon Sep 4 00:03:04 2023 8 relations: 1150645
  132. Mon Sep 4 00:03:04 2023 9 relations: 1055522
  133. Mon Sep 4 00:03:04 2023 10+ relations: 6920133
  134. Mon Sep 4 00:03:04 2023 heaviest cycle: 28 relations
  135. Mon Sep 4 00:03:49 2023 RelProcTime: 2654
  136. Mon Sep 4 00:03:49 2023 elapsed time 00:44:15
  137. Mon Sep 4 00:03:50 2023
  138. Mon Sep 4 00:03:50 2023
  139. Mon Sep 4 00:03:50 2023 Msieve v. 1.54 (SVN Unversioned directory)
  140. Mon Sep 4 00:03:50 2023 random seeds: 3ac8d566 6d08ad77
  141. Mon Sep 4 00:03:50 2023 MPI process 0 of 1
  142. Mon Sep 4 00:03:50 2023 Using 46 OpenMP threads
  143. Mon Sep 4 00:03:50 2023 factoring 278643348509049562500022090282716341957701541505346059652741954713828248636506118993295717951192782826489886901204196326218041791589363650404890690654572035019838807085154796579813017312465580588981088078150023422839867836426218846964212979178840991509652099 (258 digits)
  144. Mon Sep 4 00:03:52 2023 no P-1/P+1/ECM available, skipping
  145. Mon Sep 4 00:03:52 2023 commencing number field sieve (258-digit input)
  146. Mon Sep 4 00:03:52 2023 R0: 165543788931117927824524680022311579852222257
  147. Mon Sep 4 00:03:52 2023 R1: -1
  148. Mon Sep 4 00:03:52 2023 A0: 1
  149. Mon Sep 4 00:03:52 2023 A1: 1
  150. Mon Sep 4 00:03:52 2023 A2: 1
  151. Mon Sep 4 00:03:52 2023 A3: 1
  152. Mon Sep 4 00:03:52 2023 A4: 1
  153. Mon Sep 4 00:03:52 2023 A5: 1
  154. Mon Sep 4 00:03:52 2023 A6: 1
  155. Mon Sep 4 00:03:52 2023 skew 1.00, size 4.518e-13, alpha 2.428, combined = 6.341e-14 rroots = 0
  156. Mon Sep 4 00:03:52 2023
  157. Mon Sep 4 00:03:52 2023 commencing linear algebra
  158. Mon Sep 4 00:03:52 2023 using VBITS=128
  159. Mon Sep 4 00:03:52 2023 stopping after matrix build
  160. Mon Sep 4 00:03:52 2023 initialized process (0,0) of 1 x 1 grid
  161. Mon Sep 4 00:03:55 2023 read 20137085 cycles
  162. Mon Sep 4 00:04:32 2023 cycles contain 73362153 unique relations
  163. Mon Sep 4 00:05:18 2023 read 73362153 relations
  164. Mon Sep 4 00:05:22 2023 using 20 quadratic characters above 4294917295
  165. Mon Sep 4 00:05:31 2023 building initial matrix
  166. Mon Sep 4 00:19:19 2023 memory use: 8886.0 MB
  167. Mon Sep 4 00:19:40 2023 read 20137085 cycles
  168. Mon Sep 4 00:19:43 2023 matrix is 20136908 x 20137085 (8852.8 MB) with weight 2510413574 (124.67/col)
  169. Mon Sep 4 00:19:43 2023 sparse part has weight 2099197407 (104.25/col)
  170. Mon Sep 4 00:24:14 2023 filtering completed in 2 passes
  171. Mon Sep 4 00:24:17 2023 matrix is 20134405 x 20134578 (8852.6 MB) with weight 2510332016 (124.68/col)
  172. Mon Sep 4 00:24:17 2023 sparse part has weight 2099169370 (104.26/col)
  173. Mon Sep 4 00:25:12 2023 BLanczosTime: 1280
  174. Mon Sep 4 00:25:12 2023 elapsed time 00:21:22
  175. Mon Sep 4 01:55:00 2023
  176. Mon Sep 4 01:55:00 2023
  177. Mon Sep 4 01:55:00 2023 Msieve v. 1.54 (SVN Unversioned directory)
  178. Mon Sep 4 01:55:00 2023 random seeds: 2ca027be 95931ea0
  179. Mon Sep 4 01:55:00 2023 MPI process 0 of 2
  180. Mon Sep 4 01:55:00 2023 Using 23 OpenMP threads
  181. Mon Sep 4 01:55:00 2023 factoring 278643348509049562500022090282716341957701541505346059652741954713828248636506118993295717951192782826489886901204196326218041791589363650404890690654572035019838807085154796579813017312465580588981088078150023422839867836426218846964212979178840991509652099 (258 digits)
  182. Mon Sep 4 01:55:01 2023 no P-1/P+1/ECM available, skipping
  183. Mon Sep 4 01:55:01 2023 commencing number field sieve (258-digit input)
  184. Mon Sep 4 01:55:01 2023 R0: 165543788931117927824524680022311579852222257
  185. Mon Sep 4 01:55:01 2023 R1: -1
  186. Mon Sep 4 01:55:01 2023 A0: 1
  187. Mon Sep 4 01:55:01 2023 A1: 1
  188. Mon Sep 4 01:55:01 2023 A2: 1
  189. Mon Sep 4 01:55:01 2023 A3: 1
  190. Mon Sep 4 01:55:01 2023 A4: 1
  191. Mon Sep 4 01:55:01 2023 A5: 1
  192. Mon Sep 4 01:55:01 2023 A6: 1
  193. Mon Sep 4 01:55:01 2023 skew 1.00, size 4.518e-13, alpha 2.428, combined = 6.341e-14 rroots = 0
  194. Mon Sep 4 01:55:01 2023
  195. Mon Sep 4 01:55:01 2023 commencing linear algebra
  196. Mon Sep 4 01:55:01 2023 using VBITS=256
  197. Mon Sep 4 01:55:01 2023 skipping matrix build
  198. Mon Sep 4 01:55:01 2023 initialized process (0,0) of 1 x 2 grid
  199. Mon Sep 4 01:55:08 2023 matrix starts at (0, 0)
  200. Mon Sep 4 01:55:09 2023 matrix is 20134405 x 10067363 (4426.3 MB) with weight 1255171974 (124.68/col)
  201. Mon Sep 4 01:55:09 2023 sparse part has weight 1049584789 (104.26/col)
  202. Mon Sep 4 01:55:09 2023 saving the first 240 matrix rows for later
  203. Mon Sep 4 01:55:13 2023 matrix includes 256 packed rows
  204. Mon Sep 4 01:55:16 2023 matrix is 20134165 x 10067363 (4100.3 MB) with weight 960699369 (95.43/col)
  205. Mon Sep 4 01:55:16 2023 sparse part has weight 913786307 (90.77/col)
  206. Mon Sep 4 01:55:16 2023 using GPU 0 (Tesla T4)
  207. Mon Sep 4 01:55:16 2023 selected card has CUDA arch 7.5
  208. Mon Sep 4 01:56:24 2023 commencing Lanczos iteration
  209. Mon Sep 4 01:56:25 2023 memory use: 10466.4 MB
  210. Mon Sep 4 01:58:52 2023 linear algebra at 0.2%, ETA 26h26m
  211. Mon Sep 4 02:02:32 2023 checking every 10000 dimensions, checkpointing every 760000 dimensions
  212. Tue Sep 5 04:37:57 2023 lanczos halted after 78885 iterations (dim = 20134163)
  213. Tue Sep 5 04:39:39 2023 recovered 36 nontrivial dependencies
  214. Tue Sep 5 04:39:39 2023 BLanczosTime: 96278
  215. Tue Sep 5 04:39:39 2023 elapsed time 26:44:39
  216. Tue Sep 5 07:41:26 2023
  217. Tue Sep 5 07:41:27 2023
  218. Tue Sep 5 07:41:27 2023 Msieve v. 1.54 (SVN Unversioned directory)
  219. Tue Sep 5 07:41:27 2023 random seeds: 396926bd 5613c802
  220. Tue Sep 5 07:41:27 2023 MPI process 0 of 1
  221. Tue Sep 5 07:41:27 2023 Using 32 OpenMP threads
  222. Tue Sep 5 07:41:27 2023 factoring 278643348509049562500022090282716341957701541505346059652741954713828248636506118993295717951192782826489886901204196326218041791589363650404890690654572035019838807085154796579813017312465580588981088078150023422839867836426218846964212979178840991509652099 (258 digits)
  223. Tue Sep 5 07:41:28 2023 no P-1/P+1/ECM available, skipping
  224. Tue Sep 5 07:41:28 2023 commencing number field sieve (258-digit input)
  225. Tue Sep 5 07:41:28 2023 R0: 165543788931117927824524680022311579852222257
  226. Tue Sep 5 07:41:28 2023 R1: -1
  227. Tue Sep 5 07:41:28 2023 A0: 1
  228. Tue Sep 5 07:41:28 2023 A1: 1
  229. Tue Sep 5 07:41:28 2023 A2: 1
  230. Tue Sep 5 07:41:28 2023 A3: 1
  231. Tue Sep 5 07:41:28 2023 A4: 1
  232. Tue Sep 5 07:41:28 2023 A5: 1
  233. Tue Sep 5 07:41:28 2023 A6: 1
  234. Tue Sep 5 07:41:28 2023 skew 1.00, size 4.518e-13, alpha 2.428, combined = 6.341e-14 rroots = 0
  235. Tue Sep 5 07:41:28 2023
  236. Tue Sep 5 07:41:28 2023 commencing square root phase
  237. Tue Sep 5 07:41:28 2023 reading relations for dependency 1
  238. Tue Sep 5 07:41:30 2023 read 10068050 cycles
  239. Tue Sep 5 07:41:49 2023 cycles contain 36684042 unique relations
  240. Tue Sep 5 07:42:35 2023 read 36684042 relations
  241. Tue Sep 5 07:45:10 2023 multiplying 36684042 relations
  242. Tue Sep 5 07:47:23 2023 multiply complete, coefficients have about 950.86 million bits
  243. Tue Sep 5 07:47:26 2023 initial square root is modulo 339347963
  244. Tue Sep 5 07:53:55 2023 GCD is 1, no factor found
  245. Tue Sep 5 07:53:55 2023 reading relations for dependency 2
  246. Tue Sep 5 07:53:58 2023 read 10065683 cycles
  247. Tue Sep 5 07:54:20 2023 cycles contain 36681564 unique relations
  248. Tue Sep 5 07:55:07 2023 read 36681564 relations
  249. Tue Sep 5 07:57:29 2023 multiplying 36681564 relations
  250. Tue Sep 5 07:59:45 2023 multiply complete, coefficients have about 950.81 million bits
  251. Tue Sep 5 07:59:49 2023 initial square root is modulo 338977999
  252. Tue Sep 5 08:06:18 2023 sqrtTime: 1490
  253. Tue Sep 5 08:06:18 2023 p102 factor: 326741599942349686818946352559329255640153998936657844208196871836471618675936340254978624599864657339
  254. Tue Sep 5 08:06:18 2023 p156 factor: 852794221973000733533038231203698502884269604389439830377545926961076583304417376811680409662372777842170702156096568518889491886755592357728769817126970841
  255. Tue Sep 5 08:06:18 2023 elapsed time 00:24:51
  256.  
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