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f84_128p1.log

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Jul 10th, 2020
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  1. Sun Jul 5 09:09:34 2020
  2. Sun Jul 5 09:09:34 2020
  3. Sun Jul 5 09:09:34 2020 Msieve v. 1.54 (SVN 1030)
  4. Sun Jul 5 09:09:34 2020 random seeds: 8ffa08e5 07a7dd8b
  5. Sun Jul 5 09:09:34 2020 factoring 3205257561921929805430788315180035657522331986474471901842991601654070021665553966864472555708849390333638831802816771979024652622600718469993826961654207509335216173613447032626102091989652438962019523093370881 (211 digits)
  6. Sun Jul 5 09:09:35 2020 no P-1/P+1/ECM available, skipping
  7. Sun Jul 5 09:09:35 2020 commencing number field sieve (211-digit input)
  8. Sun Jul 5 09:09:35 2020 R0: 51391938904067984658758758686519164141568
  9. Sun Jul 5 09:09:35 2020 R1: 1
  10. Sun Jul 5 09:09:35 2020 A0: 4
  11. Sun Jul 5 09:09:35 2020 A1: 0
  12. Sun Jul 5 09:09:35 2020 A2: 0
  13. Sun Jul 5 09:09:35 2020 A3: 0
  14. Sun Jul 5 09:09:35 2020 A4: 0
  15. Sun Jul 5 09:09:35 2020 A5: 0
  16. Sun Jul 5 09:09:35 2020 A6: 441
  17. Sun Jul 5 09:09:35 2020 skew 0.46, size 2.807e-12, alpha 0.052, combined = 2.549e-13 rroots = 0
  18. Sun Jul 5 09:09:35 2020
  19. Sun Jul 5 09:09:35 2020 commencing relation filtering
  20. Sun Jul 5 09:09:35 2020 setting target matrix density to 120.0
  21. Sun Jul 5 09:09:35 2020 estimated available RAM is 16046.7 MB
  22. Sun Jul 5 09:09:35 2020 commencing duplicate removal, pass 1
  23. [ . . . skipped 23490 error -n reading relation nnn messages . . . ]
  24. [ 17378 error -1 ]
  25. [ 2 error -4 ]
  26. [ 382 error -5 ]
  27. [ 140 error -6 ]
  28. [ 286 error -9 ]
  29. [ 5169 error -11 ]
  30. [ 133 error -15 ]
  31. Sun Jul 5 09:49:34 2020 skipped 365 relations with b > 2^32
  32. Sun Jul 5 09:49:34 2020 skipped 2078 relations with composite factors
  33. Sun Jul 5 09:49:34 2020 found 49759128 hash collisions in 245573470 relations
  34. Sun Jul 5 09:49:51 2020 added 1218555 free relations
  35. Sun Jul 5 09:49:51 2020 commencing duplicate removal, pass 2
  36. Sun Jul 5 09:55:57 2020 found 49303078 duplicates and 197488947 unique relations
  37. Sun Jul 5 09:55:57 2020 memory use: 1321.5 MB
  38. Sun Jul 5 09:55:57 2020 reading ideals above 169934848
  39. Sun Jul 5 09:55:57 2020 commencing singleton removal, initial pass
  40. Sun Jul 5 10:21:45 2020 memory use: 3012.0 MB
  41. Sun Jul 5 10:21:45 2020 reading all ideals from disk
  42. Sun Jul 5 10:21:49 2020 memory use: 3453.2 MB
  43. Sun Jul 5 10:21:59 2020 commencing in-memory singleton removal
  44. Sun Jul 5 10:22:08 2020 begin with 197488947 relations and 161740716 unique ideals
  45. Sun Jul 5 10:23:45 2020 reduce to 134149407 relations and 92472159 ideals in 13 passes
  46. Sun Jul 5 10:23:45 2020 max relations containing the same ideal: 54
  47. Sun Jul 5 10:23:53 2020 reading ideals above 720000
  48. Sun Jul 5 10:23:54 2020 commencing singleton removal, initial pass
  49. Sun Jul 5 10:50:06 2020 memory use: 3012.0 MB
  50. Sun Jul 5 10:50:07 2020 reading all ideals from disk
  51. Sun Jul 5 10:50:12 2020 memory use: 5313.4 MB
  52. Sun Jul 5 10:50:30 2020 keeping 110805059 ideals with weight <= 200, target excess is 663268
  53. Sun Jul 5 10:50:56 2020 commencing in-memory singleton removal
  54. Sun Jul 5 10:51:11 2020 begin with 134149407 relations and 110805059 unique ideals
  55. Sun Jul 5 10:53:45 2020 reduce to 134146958 relations and 110802610 ideals in 7 passes
  56. Sun Jul 5 10:53:45 2020 max relations containing the same ideal: 200
  57. Sun Jul 5 10:55:18 2020 removing 11122194 relations and 9122194 ideals in 2000000 cliques
  58. Sun Jul 5 10:55:23 2020 commencing in-memory singleton removal
  59. Sun Jul 5 10:55:36 2020 begin with 123024764 relations and 110802610 unique ideals
  60. Sun Jul 5 10:57:55 2020 reduce to 122257423 relations and 100897971 ideals in 8 passes
  61. Sun Jul 5 10:57:55 2020 max relations containing the same ideal: 196
  62. Sun Jul 5 10:59:19 2020 removing 8547517 relations and 6547517 ideals in 2000000 cliques
  63. Sun Jul 5 10:59:23 2020 commencing in-memory singleton removal
  64. Sun Jul 5 10:59:36 2020 begin with 113709906 relations and 100897971 unique ideals
  65. Sun Jul 5 11:01:45 2020 reduce to 113198565 relations and 93830409 ideals in 7 passes
  66. Sun Jul 5 11:01:45 2020 max relations containing the same ideal: 190
  67. Sun Jul 5 11:03:03 2020 removing 7772248 relations and 5772248 ideals in 2000000 cliques
  68. Sun Jul 5 11:03:07 2020 commencing in-memory singleton removal
  69. Sun Jul 5 11:03:19 2020 begin with 105426317 relations and 93830409 unique ideals
  70. Sun Jul 5 11:05:51 2020 reduce to 104972562 relations and 87596671 ideals in 9 passes
  71. Sun Jul 5 11:05:51 2020 max relations containing the same ideal: 180
  72. Sun Jul 5 11:07:04 2020 removing 7384830 relations and 5384830 ideals in 2000000 cliques
  73. Sun Jul 5 11:07:07 2020 commencing in-memory singleton removal
  74. Sun Jul 5 11:07:15 2020 begin with 97587732 relations and 87596671 unique ideals
  75. Sun Jul 5 11:08:52 2020 reduce to 97153489 relations and 81769935 ideals in 7 passes
  76. Sun Jul 5 11:08:52 2020 max relations containing the same ideal: 171
  77. Sun Jul 5 11:10:00 2020 removing 7157665 relations and 5157665 ideals in 2000000 cliques
  78. Sun Jul 5 11:10:04 2020 commencing in-memory singleton removal
  79. Sun Jul 5 11:10:14 2020 begin with 89995824 relations and 81769935 unique ideals
  80. Sun Jul 5 11:11:53 2020 reduce to 89566694 relations and 76175093 ideals in 7 passes
  81. Sun Jul 5 11:11:53 2020 max relations containing the same ideal: 162
  82. Sun Jul 5 11:12:57 2020 removing 7017588 relations and 5017588 ideals in 2000000 cliques
  83. Sun Jul 5 11:13:00 2020 commencing in-memory singleton removal
  84. Sun Jul 5 11:13:09 2020 begin with 82549106 relations and 76175093 unique ideals
  85. Sun Jul 5 11:14:53 2020 reduce to 82110220 relations and 70710017 ideals in 8 passes
  86. Sun Jul 5 11:14:53 2020 max relations containing the same ideal: 155
  87. Sun Jul 5 11:15:52 2020 removing 6924984 relations and 4924984 ideals in 2000000 cliques
  88. Sun Jul 5 11:15:55 2020 commencing in-memory singleton removal
  89. Sun Jul 5 11:16:03 2020 begin with 75185236 relations and 70710017 unique ideals
  90. Sun Jul 5 11:17:25 2020 reduce to 74730333 relations and 65320266 ideals in 7 passes
  91. Sun Jul 5 11:17:25 2020 max relations containing the same ideal: 144
  92. Sun Jul 5 11:18:19 2020 removing 6873272 relations and 4873272 ideals in 2000000 cliques
  93. Sun Jul 5 11:18:22 2020 commencing in-memory singleton removal
  94. Sun Jul 5 11:18:29 2020 begin with 67857061 relations and 65320266 unique ideals
  95. Sun Jul 5 11:19:11 2020 reduce to 67370696 relations and 59949404 ideals in 8 passes
  96. Sun Jul 5 11:19:11 2020 max relations containing the same ideal: 136
  97. Sun Jul 5 11:19:37 2020 removing 6855810 relations and 4855810 ideals in 2000000 cliques
  98. Sun Jul 5 11:19:39 2020 commencing in-memory singleton removal
  99. Sun Jul 5 11:19:43 2020 begin with 60514886 relations and 59949404 unique ideals
  100. Sun Jul 5 11:20:16 2020 reduce to 59983945 relations and 54549194 ideals in 8 passes
  101. Sun Jul 5 11:20:16 2020 max relations containing the same ideal: 125
  102. Sun Jul 5 11:20:42 2020 removing 6867967 relations and 4867967 ideals in 2000000 cliques
  103. Sun Jul 5 11:20:44 2020 commencing in-memory singleton removal
  104. Sun Jul 5 11:20:48 2020 begin with 53115978 relations and 54549194 unique ideals
  105. Sun Jul 5 11:21:40 2020 reduce to 52521342 relations and 49069631 ideals in 8 passes
  106. Sun Jul 5 11:21:40 2020 max relations containing the same ideal: 118
  107. Sun Jul 5 11:22:19 2020 removing 6908904 relations and 4908904 ideals in 2000000 cliques
  108. Sun Jul 5 11:22:22 2020 commencing in-memory singleton removal
  109. Sun Jul 5 11:22:27 2020 begin with 45612438 relations and 49069631 unique ideals
  110. Sun Jul 5 11:23:28 2020 reduce to 44919115 relations and 43444373 ideals in 9 passes
  111. Sun Jul 5 11:23:28 2020 max relations containing the same ideal: 102
  112. Sun Jul 5 11:24:02 2020 removing 3058408 relations and 2353057 ideals in 705351 cliques
  113. Sun Jul 5 11:24:03 2020 commencing in-memory singleton removal
  114. Sun Jul 5 11:24:08 2020 begin with 41860707 relations and 43444373 unique ideals
  115. Sun Jul 5 11:24:46 2020 reduce to 41707664 relations and 40936117 ideals in 6 passes
  116. Sun Jul 5 11:24:46 2020 max relations containing the same ideal: 100
  117. Sun Jul 5 11:25:26 2020 relations with 0 large ideals: 25272
  118. Sun Jul 5 11:25:26 2020 relations with 1 large ideals: 7751
  119. Sun Jul 5 11:25:26 2020 relations with 2 large ideals: 114922
  120. Sun Jul 5 11:25:26 2020 relations with 3 large ideals: 819926
  121. Sun Jul 5 11:25:26 2020 relations with 4 large ideals: 3190069
  122. Sun Jul 5 11:25:26 2020 relations with 5 large ideals: 7457942
  123. Sun Jul 5 11:25:26 2020 relations with 6 large ideals: 10903393
  124. Sun Jul 5 11:25:26 2020 relations with 7+ large ideals: 19188389
  125. Sun Jul 5 11:25:26 2020 commencing 2-way merge
  126. Sun Jul 5 11:26:07 2020 reduce to 27495322 relation sets and 26723775 unique ideals
  127. Sun Jul 5 11:26:07 2020 commencing full merge
  128. Sun Jul 5 11:40:42 2020 memory use: 3514.9 MB
  129. Sun Jul 5 11:40:46 2020 found 12253352 cycles, need 12247975
  130. Sun Jul 5 11:40:51 2020 weight of 12247975 cycles is about 1470451572 (120.06/cycle)
  131. Sun Jul 5 11:40:51 2020 distribution of cycle lengths:
  132. Sun Jul 5 11:40:51 2020 1 relations: 575579
  133. Sun Jul 5 11:40:51 2020 2 relations: 768398
  134. Sun Jul 5 11:40:51 2020 3 relations: 871473
  135. Sun Jul 5 11:40:51 2020 4 relations: 880559
  136. Sun Jul 5 11:40:51 2020 5 relations: 890703
  137. Sun Jul 5 11:40:51 2020 6 relations: 865773
  138. Sun Jul 5 11:40:51 2020 7 relations: 847747
  139. Sun Jul 5 11:40:51 2020 8 relations: 806347
  140. Sun Jul 5 11:40:51 2020 9 relations: 762627
  141. Sun Jul 5 11:40:51 2020 10+ relations: 4978769
  142. Sun Jul 5 11:40:51 2020 heaviest cycle: 28 relations
  143. Sun Jul 5 11:40:54 2020 commencing cycle optimization
  144. Sun Jul 5 11:41:26 2020 start with 110040366 relations
  145. Sun Jul 5 11:47:28 2020 pruned 5109056 relations
  146. Sun Jul 5 11:47:29 2020 memory use: 2863.5 MB
  147. Sun Jul 5 11:47:29 2020 distribution of cycle lengths:
  148. Sun Jul 5 11:47:29 2020 1 relations: 575579
  149. Sun Jul 5 11:47:29 2020 2 relations: 787444
  150. Sun Jul 5 11:47:29 2020 3 relations: 908857
  151. Sun Jul 5 11:47:29 2020 4 relations: 917079
  152. Sun Jul 5 11:47:29 2020 5 relations: 933829
  153. Sun Jul 5 11:47:29 2020 6 relations: 906968
  154. Sun Jul 5 11:47:29 2020 7 relations: 890808
  155. Sun Jul 5 11:47:29 2020 8 relations: 844632
  156. Sun Jul 5 11:47:29 2020 9 relations: 796754
  157. Sun Jul 5 11:47:29 2020 10+ relations: 4686025
  158. Sun Jul 5 11:47:29 2020 heaviest cycle: 28 relations
  159. Sun Jul 5 11:47:54 2020 RelProcTime: 9499
  160. Sun Jul 5 11:47:54 2020 elapsed time 02:38:20
  161. Sun Jul 5 12:48:15 2020
  162. Sun Jul 5 12:48:15 2020
  163. Sun Jul 5 12:48:15 2020 Msieve v. 1.54 (SVN 1030)
  164. Sun Jul 5 12:48:15 2020 random seeds: 5c232fca c4cba266
  165. Sun Jul 5 12:48:15 2020 factoring 3205257561921929805430788315180035657522331986474471901842991601654070021665553966864472555708849390333638831802816771979024652622600718469993826961654207509335216173613447032626102091989652438962019523093370881 (211 digits)
  166. Sun Jul 5 12:48:16 2020 no P-1/P+1/ECM available, skipping
  167. Sun Jul 5 12:48:16 2020 commencing number field sieve (211-digit input)
  168. Sun Jul 5 12:48:16 2020 R0: 51391938904067984658758758686519164141568
  169. Sun Jul 5 12:48:16 2020 R1: 1
  170. Sun Jul 5 12:48:16 2020 A0: 4
  171. Sun Jul 5 12:48:16 2020 A1: 0
  172. Sun Jul 5 12:48:16 2020 A2: 0
  173. Sun Jul 5 12:48:16 2020 A3: 0
  174. Sun Jul 5 12:48:16 2020 A4: 0
  175. Sun Jul 5 12:48:16 2020 A5: 0
  176. Sun Jul 5 12:48:16 2020 A6: 441
  177. Sun Jul 5 12:48:16 2020 skew 0.46, size 2.807e-12, alpha 0.052, combined = 2.549e-13 rroots = 0
  178. Sun Jul 5 12:48:16 2020
  179. Sun Jul 5 12:48:16 2020 commencing linear algebra
  180. Sun Jul 5 12:48:17 2020 read 12247975 cycles
  181. Sun Jul 5 12:48:37 2020 cycles contain 41272863 unique relations
  182. Sun Jul 5 12:54:02 2020 read 41272863 relations
  183. Sun Jul 5 12:55:45 2020 using 20 quadratic characters above 4294917295
  184. Sun Jul 5 12:58:13 2020 building initial matrix
  185. Sun Jul 5 13:05:58 2020 memory use: 5191.3 MB
  186. Sun Jul 5 13:06:06 2020 read 12247975 cycles
  187. Sun Jul 5 13:06:08 2020 matrix is 12247798 x 12247975 (5739.3 MB) with weight 1645639327 (134.36/col)
  188. Sun Jul 5 13:06:08 2020 sparse part has weight 1369807440 (111.84/col)
  189. Sun Jul 5 13:08:07 2020 filtering completed in 2 passes
  190. Sun Jul 5 13:08:09 2020 matrix is 12247728 x 12247905 (5739.3 MB) with weight 1645636843 (134.36/col)
  191. Sun Jul 5 13:08:09 2020 sparse part has weight 1369806573 (111.84/col)
  192. Sun Jul 5 13:08:52 2020 matrix starts at (0, 0)
  193. Sun Jul 5 13:08:54 2020 matrix is 12247728 x 12247905 (5739.3 MB) with weight 1645636843 (134.36/col)
  194. Sun Jul 5 13:08:54 2020 sparse part has weight 1369806573 (111.84/col)
  195. Sun Jul 5 13:08:54 2020 saving the first 48 matrix rows for later
  196. Sun Jul 5 13:08:55 2020 matrix includes 64 packed rows
  197. Sun Jul 5 13:08:57 2020 matrix is 12247680 x 12247905 (5526.9 MB) with weight 1427761526 (116.57/col)
  198. Sun Jul 5 13:08:57 2020 sparse part has weight 1326353305 (108.29/col)
  199. Sun Jul 5 13:08:57 2020 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
  200. Sun Jul 5 13:09:38 2020 commencing Lanczos iteration (12 threads)
  201. Sun Jul 5 13:09:38 2020 memory use: 5279.9 MB
  202. Sun Jul 5 13:10:30 2020 linear algebra at 0.0%, ETA 112h20m
  203. Sun Jul 5 13:10:46 2020 checkpointing every 110000 dimensions
  204. Fri Jul 10 04:40:01 2020 lanczos halted after 193680 iterations (dim = 12247674)
  205. Fri Jul 10 04:40:13 2020 recovered 39 nontrivial dependencies
  206. Fri Jul 10 04:40:13 2020 BLanczosTime: 402717
  207. Fri Jul 10 04:40:13 2020 elapsed time 111:51:58
  208. Fri Jul 10 04:40:13 2020
  209. Fri Jul 10 04:40:13 2020
  210. Fri Jul 10 04:40:13 2020 Msieve v. 1.54 (SVN 1030)
  211. Fri Jul 10 04:40:13 2020 random seeds: cfe19c92 db7cfeba
  212. Fri Jul 10 04:40:13 2020 factoring 3205257561921929805430788315180035657522331986474471901842991601654070021665553966864472555708849390333638831802816771979024652622600718469993826961654207509335216173613447032626102091989652438962019523093370881 (211 digits)
  213. Fri Jul 10 04:40:14 2020 no P-1/P+1/ECM available, skipping
  214. Fri Jul 10 04:40:14 2020 commencing number field sieve (211-digit input)
  215. Fri Jul 10 04:40:14 2020 R0: 51391938904067984658758758686519164141568
  216. Fri Jul 10 04:40:14 2020 R1: 1
  217. Fri Jul 10 04:40:14 2020 A0: 4
  218. Fri Jul 10 04:40:14 2020 A1: 0
  219. Fri Jul 10 04:40:14 2020 A2: 0
  220. Fri Jul 10 04:40:14 2020 A3: 0
  221. Fri Jul 10 04:40:14 2020 A4: 0
  222. Fri Jul 10 04:40:14 2020 A5: 0
  223. Fri Jul 10 04:40:14 2020 A6: 441
  224. Fri Jul 10 04:40:14 2020 skew 0.46, size 2.807e-12, alpha 0.052, combined = 2.549e-13 rroots = 0
  225. Fri Jul 10 04:40:14 2020
  226. Fri Jul 10 04:40:14 2020 commencing square root phase
  227. Fri Jul 10 04:40:14 2020 reading relations for dependency 1
  228. Fri Jul 10 04:40:15 2020 read 6124789 cycles
  229. Fri Jul 10 04:40:26 2020 cycles contain 20639590 unique relations
  230. Fri Jul 10 04:44:33 2020 read 20639590 relations
  231. Fri Jul 10 04:45:46 2020 multiplying 20639590 relations
  232. Fri Jul 10 05:01:08 2020 multiply complete, coefficients have about 686.46 million bits
  233. Fri Jul 10 05:01:11 2020 initial square root is modulo 1440799
  234. Fri Jul 10 05:17:36 2020 GCD is N, no factor found
  235. Fri Jul 10 05:17:36 2020 reading relations for dependency 2
  236. Fri Jul 10 05:17:38 2020 read 6125014 cycles
  237. Fri Jul 10 05:17:48 2020 cycles contain 20639056 unique relations
  238. Fri Jul 10 05:21:58 2020 read 20639056 relations
  239. Fri Jul 10 05:23:11 2020 multiplying 20639056 relations
  240. Fri Jul 10 05:38:35 2020 multiply complete, coefficients have about 686.45 million bits
  241. Fri Jul 10 05:38:38 2020 initial square root is modulo 1440499
  242. Fri Jul 10 05:55:09 2020 sqrtTime: 4495
  243. Fri Jul 10 05:55:09 2020 p82 factor: 3750014435645851219459254960306953257318650027343054336757561710083126238929618433
  244. Fri Jul 10 05:55:09 2020 p129 factor: 854732059550032122065546006244404112929051650774633051279891601866880023389029494167083608702247774609676705855297153935509459457
  245. Fri Jul 10 05:55:09 2020 elapsed time 01:14:56
  246. *********** Processing f84_128p1.log *************
  247. http://factordb.com/report.php?report=3205257561921929805430788315180035657522331986474471901842991601654070021665553966864472555708849390333638831802816771979024652622600718469993826961654207509335216173613447032626102091989652438962019523093370881%3D3750014435645851219459254960306953257318650027343054336757561710083126238929618433*854732059550032122065546006244404112929051650774633051279891601866880023389029494167083608702247774609676705855297153935509459457
  248. 1 new factor added to factordb
  249. 1 factor already known by factordb
  250. 1 Thank you for your contribution
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