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Nov 15th, 2021
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  1. Thu Nov 11 09:07:21 2021
  2. Thu Nov 11 09:07:21 2021 Msieve v. 1.54 (SVN 1030)
  3. Thu Nov 11 09:07:21 2021 random seeds: 061f4d88 7ab725c7
  4. Thu Nov 11 09:07:21 2021 factoring 34248741919958448585388595606064222155830548849717616357081741430523754645795873381631914008665434684282909330974727146256900230470294234754947124080479949053923758441439136314653492131035402490371783116033 (206 digits)
  5. Thu Nov 11 09:07:22 2021 no P-1/P+1/ECM available, skipping
  6. Thu Nov 11 09:07:22 2021 commencing number field sieve (206-digit input)
  7. Thu Nov 11 09:07:22 2021 R0: 1697289346096925689723495983141786677673984
  8. Thu Nov 11 09:07:22 2021 R1: 1
  9. Thu Nov 11 09:07:22 2021 A0: 4
  10. Thu Nov 11 09:07:22 2021 A1: 0
  11. Thu Nov 11 09:07:22 2021 A2: 0
  12. Thu Nov 11 09:07:22 2021 A3: 0
  13. Thu Nov 11 09:07:22 2021 A4: 0
  14. Thu Nov 11 09:07:22 2021 A5: 0
  15. Thu Nov 11 09:07:22 2021 A6: 9
  16. Thu Nov 11 09:07:22 2021 skew 1.00, size 1.714e-12, alpha 0.552, combined = 1.738e-13 rroots = 0
  17. Thu Nov 11 09:07:22 2021
  18. Thu Nov 11 09:07:22 2021 commencing relation filtering
  19. Thu Nov 11 09:07:22 2021 setting target matrix density to 120.0
  20. Thu Nov 11 09:07:22 2021 estimated available RAM is 16021.5 MB
  21. Thu Nov 11 09:07:22 2021 commencing duplicate removal, pass 1
  22. [ . . . skipped 6346 error -n reading relation nnn messages . . . ]
  23. [ 4757 error -1 ]
  24. [ 1 error -2 ]
  25. [ 1 error -4 ]
  26. [ 451 error -5 ]
  27. [ 117 error -6 ]
  28. [ 364 error -9 ]
  29. [ 578 error -11 ]
  30. [ 77 error -15 ]
  31. Thu Nov 11 09:38:52 2021 skipped 529 relations with b > 2^32
  32. Thu Nov 11 09:38:52 2021 skipped 677 relations with composite factors
  33. Thu Nov 11 09:38:52 2021 found 33963120 hash collisions in 212376485 relations
  34. Thu Nov 11 09:39:09 2021 added 1219066 free relations
  35. Thu Nov 11 09:39:09 2021 commencing duplicate removal, pass 2
  36. Thu Nov 11 09:41:25 2021 found 30651703 duplicates and 182943848 unique relations
  37. Thu Nov 11 09:41:25 2021 memory use: 1321.5 MB
  38. Thu Nov 11 09:41:25 2021 reading ideals above 134021120
  39. Thu Nov 11 09:41:25 2021 commencing singleton removal, initial pass
  40. Thu Nov 11 10:02:36 2021 memory use: 3012.0 MB
  41. Thu Nov 11 10:02:36 2021 reading all ideals from disk
  42. Thu Nov 11 10:02:39 2021 memory use: 3175.2 MB
  43. Thu Nov 11 10:02:46 2021 commencing in-memory singleton removal
  44. Thu Nov 11 10:02:52 2021 begin with 182943848 relations and 158401183 unique ideals
  45. Thu Nov 11 10:05:31 2021 reduce to 111656053 relations and 79206025 ideals in 15 passes
  46. Thu Nov 11 10:05:31 2021 max relations containing the same ideal: 35
  47. Thu Nov 11 10:05:40 2021 reading ideals above 720000
  48. Thu Nov 11 10:05:40 2021 commencing singleton removal, initial pass
  49. Thu Nov 11 10:26:50 2021 memory use: 2756.0 MB
  50. Thu Nov 11 10:26:50 2021 reading all ideals from disk
  51. Thu Nov 11 10:26:56 2021 memory use: 4524.8 MB
  52. Thu Nov 11 10:27:13 2021 keeping 93793600 ideals with weight <= 200, target excess is 596375
  53. Thu Nov 11 10:27:38 2021 commencing in-memory singleton removal
  54. Thu Nov 11 10:27:52 2021 begin with 111656053 relations and 93793600 unique ideals
  55. Thu Nov 11 10:30:47 2021 reduce to 111655270 relations and 93792817 ideals in 8 passes
  56. Thu Nov 11 10:30:47 2021 max relations containing the same ideal: 200
  57. Thu Nov 11 10:32:20 2021 removing 11517955 relations and 9517956 ideals in 2000000 cliques
  58. Thu Nov 11 10:32:24 2021 commencing in-memory singleton removal
  59. Thu Nov 11 10:32:37 2021 begin with 100137315 relations and 93792817 unique ideals
  60. Thu Nov 11 10:35:32 2021 reduce to 99267979 relations and 83386279 ideals in 9 passes
  61. Thu Nov 11 10:35:32 2021 max relations containing the same ideal: 193
  62. Thu Nov 11 10:36:54 2021 removing 8749641 relations and 6749641 ideals in 2000000 cliques
  63. Thu Nov 11 10:36:58 2021 commencing in-memory singleton removal
  64. Thu Nov 11 10:37:10 2021 begin with 90518338 relations and 83386279 unique ideals
  65. Thu Nov 11 10:39:29 2021 reduce to 89927992 relations and 76034548 ideals in 8 passes
  66. Thu Nov 11 10:39:29 2021 max relations containing the same ideal: 184
  67. Thu Nov 11 10:40:44 2021 removing 7924590 relations and 5924590 ideals in 2000000 cliques
  68. Thu Nov 11 10:40:48 2021 commencing in-memory singleton removal
  69. Thu Nov 11 10:40:58 2021 begin with 82003402 relations and 76034548 unique ideals
  70. Thu Nov 11 10:43:04 2021 reduce to 81470945 relations and 69566666 ideals in 8 passes
  71. Thu Nov 11 10:43:04 2021 max relations containing the same ideal: 173
  72. Thu Nov 11 10:44:13 2021 removing 7519276 relations and 5519276 ideals in 2000000 cliques
  73. Thu Nov 11 10:44:16 2021 commencing in-memory singleton removal
  74. Thu Nov 11 10:44:25 2021 begin with 73951669 relations and 69566666 unique ideals
  75. Thu Nov 11 10:45:55 2021 reduce to 73432149 relations and 63516508 ideals in 7 passes
  76. Thu Nov 11 10:45:55 2021 max relations containing the same ideal: 159
  77. Thu Nov 11 10:46:43 2021 removing 7280973 relations and 5280973 ideals in 2000000 cliques
  78. Thu Nov 11 10:46:46 2021 commencing in-memory singleton removal
  79. Thu Nov 11 10:46:52 2021 begin with 66151176 relations and 63516508 unique ideals
  80. Thu Nov 11 10:47:41 2021 reduce to 65622008 relations and 57693865 ideals in 7 passes
  81. Thu Nov 11 10:47:41 2021 max relations containing the same ideal: 148
  82. Thu Nov 11 10:48:15 2021 removing 7138213 relations and 5138213 ideals in 2000000 cliques
  83. Thu Nov 11 10:48:18 2021 commencing in-memory singleton removal
  84. Thu Nov 11 10:48:22 2021 begin with 58483795 relations and 57693865 unique ideals
  85. Thu Nov 11 10:48:59 2021 reduce to 57924781 relations and 51982140 ideals in 7 passes
  86. Thu Nov 11 10:48:59 2021 max relations containing the same ideal: 135
  87. Thu Nov 11 10:49:27 2021 removing 7051004 relations and 5051004 ideals in 2000000 cliques
  88. Thu Nov 11 10:49:29 2021 commencing in-memory singleton removal
  89. Thu Nov 11 10:49:32 2021 begin with 50873777 relations and 51982140 unique ideals
  90. Thu Nov 11 10:50:19 2021 reduce to 50265149 relations and 46304645 ideals in 9 passes
  91. Thu Nov 11 10:50:19 2021 max relations containing the same ideal: 124
  92. Thu Nov 11 10:50:46 2021 removing 7004403 relations and 5004403 ideals in 2000000 cliques
  93. Thu Nov 11 10:50:48 2021 commencing in-memory singleton removal
  94. Thu Nov 11 10:50:52 2021 begin with 43260746 relations and 46304645 unique ideals
  95. Thu Nov 11 10:51:30 2021 reduce to 42575945 relations and 40592519 ideals in 8 passes
  96. Thu Nov 11 10:51:30 2021 max relations containing the same ideal: 110
  97. Thu Nov 11 10:51:53 2021 removing 4939666 relations and 3648036 ideals in 1291630 cliques
  98. Thu Nov 11 10:51:55 2021 commencing in-memory singleton removal
  99. Thu Nov 11 10:51:58 2021 begin with 37636279 relations and 40592519 unique ideals
  100. Thu Nov 11 10:52:31 2021 reduce to 37245804 relations and 36543911 ideals in 8 passes
  101. Thu Nov 11 10:52:31 2021 max relations containing the same ideal: 99
  102. Thu Nov 11 10:52:56 2021 removing 78820 relations and 68723 ideals in 10097 cliques
  103. Thu Nov 11 10:52:57 2021 commencing in-memory singleton removal
  104. Thu Nov 11 10:53:01 2021 begin with 37166984 relations and 36543911 unique ideals
  105. Thu Nov 11 10:53:22 2021 reduce to 37166904 relations and 36475108 ideals in 3 passes
  106. Thu Nov 11 10:53:22 2021 max relations containing the same ideal: 99
  107. Thu Nov 11 10:53:34 2021 relations with 0 large ideals: 22746
  108. Thu Nov 11 10:53:34 2021 relations with 1 large ideals: 4353
  109. Thu Nov 11 10:53:34 2021 relations with 2 large ideals: 58882
  110. Thu Nov 11 10:53:34 2021 relations with 3 large ideals: 472390
  111. Thu Nov 11 10:53:34 2021 relations with 4 large ideals: 2065371
  112. Thu Nov 11 10:53:34 2021 relations with 5 large ideals: 5440123
  113. Thu Nov 11 10:53:34 2021 relations with 6 large ideals: 9006099
  114. Thu Nov 11 10:53:34 2021 relations with 7+ large ideals: 20096940
  115. Thu Nov 11 10:53:34 2021 commencing 2-way merge
  116. Thu Nov 11 10:54:16 2021 reduce to 24035853 relation sets and 23344057 unique ideals
  117. Thu Nov 11 10:54:16 2021 commencing full merge
  118. Thu Nov 11 11:12:45 2021 memory use: 3318.9 MB
  119. Thu Nov 11 11:12:49 2021 found 11009801 cycles, need 10994257
  120. Thu Nov 11 11:12:54 2021 weight of 10994257 cycles is about 1319873870 (120.05/cycle)
  121. Thu Nov 11 11:12:54 2021 distribution of cycle lengths:
  122. Thu Nov 11 11:12:54 2021 1 relations: 516732
  123. Thu Nov 11 11:12:54 2021 2 relations: 703505
  124. Thu Nov 11 11:12:54 2021 3 relations: 799413
  125. Thu Nov 11 11:12:54 2021 4 relations: 810336
  126. Thu Nov 11 11:12:54 2021 5 relations: 817639
  127. Thu Nov 11 11:12:54 2021 6 relations: 804128
  128. Thu Nov 11 11:12:54 2021 7 relations: 783812
  129. Thu Nov 11 11:12:54 2021 8 relations: 747512
  130. Thu Nov 11 11:12:54 2021 9 relations: 700721
  131. Thu Nov 11 11:12:54 2021 10+ relations: 4310459
  132. Thu Nov 11 11:12:54 2021 heaviest cycle: 28 relations
  133. Thu Nov 11 11:12:59 2021 commencing cycle optimization
  134. Thu Nov 11 11:13:37 2021 start with 96552302 relations
  135. Thu Nov 11 11:20:09 2021 pruned 4477164 relations
  136. Thu Nov 11 11:20:09 2021 memory use: 2538.3 MB
  137. Thu Nov 11 11:20:09 2021 distribution of cycle lengths:
  138. Thu Nov 11 11:20:09 2021 1 relations: 516732
  139. Thu Nov 11 11:20:09 2021 2 relations: 720350
  140. Thu Nov 11 11:20:09 2021 3 relations: 832072
  141. Thu Nov 11 11:20:09 2021 4 relations: 843279
  142. Thu Nov 11 11:20:09 2021 5 relations: 858402
  143. Thu Nov 11 11:20:09 2021 6 relations: 842053
  144. Thu Nov 11 11:20:09 2021 7 relations: 825213
  145. Thu Nov 11 11:20:09 2021 8 relations: 782927
  146. Thu Nov 11 11:20:09 2021 9 relations: 732932
  147. Thu Nov 11 11:20:09 2021 10+ relations: 4040297
  148. Thu Nov 11 11:20:09 2021 heaviest cycle: 28 relations
  149. Thu Nov 11 11:20:36 2021 RelProcTime: 7994
  150. Thu Nov 11 11:20:36 2021 elapsed time 02:13:15
  151. Thu Nov 11 11:38:08 2021
  152. Thu Nov 11 11:38:08 2021
  153. Thu Nov 11 11:38:08 2021 Msieve v. 1.54 (SVN 1030)
  154. Thu Nov 11 11:38:08 2021 random seeds: 3b00866d e0424cf5
  155. Thu Nov 11 11:38:08 2021 factoring 34248741919958448585388595606064222155830548849717616357081741430523754645795873381631914008665434684282909330974727146256900230470294234754947124080479949053923758441439136314653492131035402490371783116033 (206 digits)
  156. Thu Nov 11 11:38:09 2021 no P-1/P+1/ECM available, skipping
  157. Thu Nov 11 11:38:09 2021 commencing number field sieve (206-digit input)
  158. Thu Nov 11 11:38:09 2021 R0: 1697289346096925689723495983141786677673984
  159. Thu Nov 11 11:38:09 2021 R1: 1
  160. Thu Nov 11 11:38:09 2021 A0: 4
  161. Thu Nov 11 11:38:09 2021 A1: 0
  162. Thu Nov 11 11:38:09 2021 A2: 0
  163. Thu Nov 11 11:38:09 2021 A3: 0
  164. Thu Nov 11 11:38:09 2021 A4: 0
  165. Thu Nov 11 11:38:09 2021 A5: 0
  166. Thu Nov 11 11:38:09 2021 A6: 9
  167. Thu Nov 11 11:38:09 2021 skew 1.00, size 1.714e-12, alpha 0.552, combined = 1.738e-13 rroots = 0
  168. Thu Nov 11 11:38:09 2021
  169. Thu Nov 11 11:38:09 2021 commencing linear algebra
  170. Thu Nov 11 11:38:10 2021 read 10994257 cycles
  171. Thu Nov 11 11:38:28 2021 cycles contain 36775730 unique relations
  172. Thu Nov 11 11:41:04 2021 read 36775730 relations
  173. Thu Nov 11 11:42:33 2021 using 20 quadratic characters above 4294917295
  174. Thu Nov 11 11:44:44 2021 building initial matrix
  175. Thu Nov 11 11:51:28 2021 memory use: 4738.7 MB
  176. Thu Nov 11 11:51:32 2021 read 10994257 cycles
  177. Thu Nov 11 11:51:34 2021 matrix is 10994080 x 10994257 (5191.0 MB) with weight 1482798305 (134.87/col)
  178. Thu Nov 11 11:51:34 2021 sparse part has weight 1239853034 (112.77/col)
  179. Thu Nov 11 11:53:23 2021 filtering completed in 2 passes
  180. Thu Nov 11 11:53:25 2021 matrix is 10993994 x 10994171 (5191.0 MB) with weight 1482795473 (134.87/col)
  181. Thu Nov 11 11:53:25 2021 sparse part has weight 1239852279 (112.77/col)
  182. Thu Nov 11 11:54:06 2021 matrix starts at (0, 0)
  183. Thu Nov 11 11:54:07 2021 matrix is 10993994 x 10994171 (5191.0 MB) with weight 1482795473 (134.87/col)
  184. Thu Nov 11 11:54:07 2021 sparse part has weight 1239852279 (112.77/col)
  185. Thu Nov 11 11:54:07 2021 saving the first 48 matrix rows for later
  186. Thu Nov 11 11:54:09 2021 matrix includes 64 packed rows
  187. Thu Nov 11 11:54:10 2021 matrix is 10993946 x 10994171 (4962.6 MB) with weight 1278171710 (116.26/col)
  188. Thu Nov 11 11:54:10 2021 sparse part has weight 1190964494 (108.33/col)
  189. Thu Nov 11 11:54:10 2021 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
  190. Thu Nov 11 11:54:45 2021 commencing Lanczos iteration (12 threads)
  191. Thu Nov 11 11:54:45 2021 memory use: 4767.4 MB
  192. Thu Nov 11 11:55:31 2021 linear algebra at 0.0%, ETA 88h33m
  193. Thu Nov 11 11:55:46 2021 checkpointing every 130000 dimensions
  194. Mon Nov 15 04:55:17 2021 lanczos halted after 173854 iterations (dim = 10993946)
  195. Mon Nov 15 04:55:26 2021 recovered 44 nontrivial dependencies
  196. Mon Nov 15 04:55:26 2021 BLanczosTime: 321437
  197. Mon Nov 15 04:55:26 2021 elapsed time 89:17:18
  198. Mon Nov 15 04:55:26 2021
  199. Mon Nov 15 04:55:26 2021
  200. Mon Nov 15 04:55:26 2021 Msieve v. 1.54 (SVN 1030)
  201. Mon Nov 15 04:55:26 2021 random seeds: dafaadc3 be955d5a
  202. Mon Nov 15 04:55:26 2021 factoring 34248741919958448585388595606064222155830548849717616357081741430523754645795873381631914008665434684282909330974727146256900230470294234754947124080479949053923758441439136314653492131035402490371783116033 (206 digits)
  203. Mon Nov 15 04:55:27 2021 no P-1/P+1/ECM available, skipping
  204. Mon Nov 15 04:55:27 2021 commencing number field sieve (206-digit input)
  205. Mon Nov 15 04:55:27 2021 R0: 1697289346096925689723495983141786677673984
  206. Mon Nov 15 04:55:27 2021 R1: 1
  207. Mon Nov 15 04:55:27 2021 A0: 4
  208. Mon Nov 15 04:55:27 2021 A1: 0
  209. Mon Nov 15 04:55:27 2021 A2: 0
  210. Mon Nov 15 04:55:27 2021 A3: 0
  211. Mon Nov 15 04:55:27 2021 A4: 0
  212. Mon Nov 15 04:55:27 2021 A5: 0
  213. Mon Nov 15 04:55:27 2021 A6: 9
  214. Mon Nov 15 04:55:27 2021 skew 1.00, size 1.714e-12, alpha 0.552, combined = 1.738e-13 rroots = 0
  215. Mon Nov 15 04:55:27 2021
  216. Mon Nov 15 04:55:27 2021 commencing square root phase
  217. Mon Nov 15 04:55:27 2021 reading relations for dependency 1
  218. Mon Nov 15 04:55:28 2021 read 5499468 cycles
  219. Mon Nov 15 04:55:37 2021 cycles contain 18394964 unique relations
  220. Mon Nov 15 04:57:04 2021 read 18394964 relations
  221. Mon Nov 15 04:58:15 2021 multiplying 18394964 relations
  222. Mon Nov 15 05:09:24 2021 multiply complete, coefficients have about 532.76 million bits
  223. Mon Nov 15 05:09:27 2021 initial square root is modulo 60223
  224. Mon Nov 15 05:21:45 2021 GCD is N, no factor found
  225. Mon Nov 15 05:21:45 2021 reading relations for dependency 2
  226. Mon Nov 15 05:21:46 2021 read 5498055 cycles
  227. Mon Nov 15 05:21:54 2021 cycles contain 18387282 unique relations
  228. Mon Nov 15 05:23:20 2021 read 18387282 relations
  229. Mon Nov 15 05:24:31 2021 multiplying 18387282 relations
  230. Mon Nov 15 05:35:37 2021 multiply complete, coefficients have about 532.52 million bits
  231. Mon Nov 15 05:35:40 2021 initial square root is modulo 59971
  232. Mon Nov 15 05:47:27 2021 GCD is N, no factor found
  233. Mon Nov 15 05:47:27 2021 reading relations for dependency 3
  234. Mon Nov 15 05:47:28 2021 read 5495391 cycles
  235. Mon Nov 15 05:47:37 2021 cycles contain 18383134 unique relations
  236. Mon Nov 15 05:49:02 2021 read 18383134 relations
  237. Mon Nov 15 05:50:12 2021 multiplying 18383134 relations
  238. Mon Nov 15 06:01:16 2021 multiply complete, coefficients have about 532.40 million bits
  239. Mon Nov 15 06:01:18 2021 initial square root is modulo 59863
  240. Mon Nov 15 06:13:05 2021 sqrtTime: 4658
  241. Mon Nov 15 06:13:05 2021 p94 factor: 1100224866455146718241637903732381890770372598632534573487497963507385648566298129696943733761
  242. Mon Nov 15 06:13:05 2021 p113 factor: 31128856440325401383865300403362077037296034343291440124888725843613143518474207021550408272523788825224968554753
  243. Mon Nov 15 06:13:05 2021 elapsed time 01:17:39
  244. *********** Processing f96_128p1.log *************
  245. http://factordb.com/report.php?report=34248741919958448585388595606064222155830548849717616357081741430523754645795873381631914008665434684282909330974727146256900230470294234754947124080479949053923758441439136314653492131035402490371783116033%3D1100224866455146718241637903732381890770372598632534573487497963507385648566298129696943733761*31128856440325401383865300403362077037296034343291440124888725843613143518474207021550408272523788825224968554753
  246. 1 new factor added to factordb
  247. 1 factor already known by factordb
  248. 1 Thank you for your contribution
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