mersenneforum

12_227_minus_11_227

Nov 27th, 2015
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  1. Mon Oct 5 19:05:39 2015
  2. Mon Oct 5 19:05:39 2015 Msieve v. 1.53 (SVN unknown)
  3. Mon Oct 5 19:05:39 2015 random seeds: 78ba07b6 5947603c
  4. Mon Oct 5 19:05:39 2015 factoring 17291236216678610637377151292951272168671213788640623460760002031194569349503376466984399430033472229461788504929576447402202304938077698617596917475400896122830749265033223658823241590490878503945172121264548192044132664399437562460824215013 (242 digits)
  5. Mon Oct 5 19:05:41 2015 searching for 15-digit factors
  6. Mon Oct 5 19:05:42 2015 commencing number field sieve (242-digit input)
  7. Mon Oct 5 19:05:42 2015 R0: 102067469997853225734913580209377959215104
  8. Mon Oct 5 19:05:42 2015 R1: -3740434344477351388916475705363381856681
  9. Mon Oct 5 19:05:42 2015 A0: -12
  10. Mon Oct 5 19:05:42 2015 A1: 0
  11. Mon Oct 5 19:05:42 2015 A2: 0
  12. Mon Oct 5 19:05:42 2015 A3: 0
  13. Mon Oct 5 19:05:42 2015 A4: 0
  14. Mon Oct 5 19:05:42 2015 A5: 0
  15. Mon Oct 5 19:05:42 2015 A6: 11
  16. Mon Oct 5 19:05:42 2015 skew 1.01, size 2.813e-12, alpha 1.408, combined = 2.525e-13 rroots = 2
  17. Mon Oct 5 19:05:42 2015
  18. Mon Oct 5 19:05:42 2015 commencing relation filtering
  19. Mon Oct 5 19:05:42 2015 setting target matrix density to 116.0
  20. Mon Oct 5 19:05:42 2015 estimated available RAM is 16040.3 MB
  21. Mon Oct 5 19:05:42 2015 commencing duplicate removal, pass 1
  22. Mon Oct 5 19:07:38 2015 error -9 reading relation 14661143
  23. Mon Oct 5 19:08:58 2015 error -9 reading relation 25572129
  24. Mon Oct 5 19:09:24 2015 error -1 reading relation 29196052
  25. Mon Oct 5 19:10:57 2015 error -15 reading relation 41913597
  26. Mon Oct 5 19:11:08 2015 error -1 reading relation 43342268
  27. Mon Oct 5 19:13:59 2015 error -9 reading relation 65341508
  28. Mon Oct 5 19:17:47 2015 error -5 reading relation 94886103
  29. Mon Oct 5 19:19:47 2015 error -9 reading relation 111260350
  30. Mon Oct 5 19:19:50 2015 error -15 reading relation 111723301
  31. Mon Oct 5 19:21:15 2015 error -15 reading relation 123154186
  32. Mon Oct 5 19:21:37 2015 error -9 reading relation 126189893
  33. Mon Oct 5 19:21:42 2015 error -15 reading relation 126889129
  34. Mon Oct 5 19:21:45 2015 error -9 reading relation 127188404
  35. Mon Oct 5 19:22:57 2015 error -9 reading relation 137081349
  36. Mon Oct 5 19:23:10 2015 error -9 reading relation 138875821
  37. Mon Oct 5 19:23:14 2015 error -9 reading relation 139396357
  38. Mon Oct 5 19:23:31 2015 error -9 reading relation 141790619
  39. Mon Oct 5 19:25:55 2015 error -9 reading relation 161388335
  40. Mon Oct 5 19:25:55 2015 error -15 reading relation 161389424
  41. Mon Oct 5 19:26:13 2015 error -5 reading relation 163784160
  42. Mon Oct 5 19:26:24 2015 error -15 reading relation 165334190
  43. Mon Oct 5 19:26:40 2015 error -9 reading relation 167486282
  44. Mon Oct 5 19:26:56 2015 error -15 reading relation 169764274
  45. Mon Oct 5 19:27:13 2015 error -9 reading relation 172012636
  46. Mon Oct 5 19:27:13 2015 error -9 reading relation 172026537
  47. Mon Oct 5 19:27:15 2015 error -9 reading relation 172295064
  48. Mon Oct 5 19:27:15 2015 error -15 reading relation 172306515
  49. Mon Oct 5 19:27:15 2015 error -15 reading relation 172320458
  50. Mon Oct 5 19:28:38 2015 error -1 reading relation 183696086
  51. Mon Oct 5 19:29:34 2015 error -9 reading relation 191387602
  52. Mon Oct 5 19:29:35 2015 error -15 reading relation 191454080
  53. Mon Oct 5 19:29:46 2015 error -9 reading relation 193033492
  54. Mon Oct 5 19:30:09 2015 error -9 reading relation 195604444
  55. Mon Oct 5 19:30:09 2015 error -1 reading relation 195608862
  56. Mon Oct 5 19:30:09 2015 error -9 reading relation 195649062
  57. Mon Oct 5 19:30:09 2015 error -9 reading relation 195658366
  58. Mon Oct 5 19:30:09 2015 error -15 reading relation 195660562
  59. Mon Oct 5 19:30:48 2015 error -5 reading relation 201074250
  60. Mon Oct 5 19:30:50 2015 error -9 reading relation 201297143
  61. Mon Oct 5 19:30:50 2015 error -5 reading relation 201303031
  62. Mon Oct 5 19:31:11 2015 error -9 reading relation 204379176
  63. Mon Oct 5 19:31:11 2015 error -5 reading relation 204424921
  64. Mon Oct 5 19:31:13 2015 error -9 reading relation 204621282
  65. Mon Oct 5 19:31:33 2015 error -9 reading relation 207441133
  66. Mon Oct 5 19:31:37 2015 error -9 reading relation 207916387
  67. Mon Oct 5 19:31:38 2015 error -15 reading relation 208028229
  68. Mon Oct 5 19:31:58 2015 error -5 reading relation 210971530
  69. Mon Oct 5 19:31:58 2015 error -9 reading relation 210988052
  70. Mon Oct 5 19:32:00 2015 error -9 reading relation 211314350
  71. Mon Oct 5 19:32:47 2015 error -9 reading relation 217651937
  72. Mon Oct 5 19:32:54 2015 error -1 reading relation 218650283
  73. Mon Oct 5 19:32:57 2015 error -15 reading relation 219097116
  74. Mon Oct 5 19:32:57 2015 error -1 reading relation 219097117
  75. Mon Oct 5 19:33:08 2015 error -15 reading relation 220525379
  76. Mon Oct 5 19:33:11 2015 skipped 76 relations with b > 2^32
  77. Mon Oct 5 19:33:11 2015 skipped 42 relations with composite factors
  78. Mon Oct 5 19:33:11 2015 found 45956705 hash collisions in 220966891 relations
  79. Mon Oct 5 19:33:25 2015 added 1218796 free relations
  80. Mon Oct 5 19:33:25 2015 commencing duplicate removal, pass 2
  81. Mon Oct 5 19:36:46 2015 found 46737260 duplicates and 175448427 unique relations
  82. Mon Oct 5 19:36:46 2015 memory use: 1321.5 MB
  83. Mon Oct 5 19:36:46 2015 reading ideals above 183828480
  84. Mon Oct 5 19:36:46 2015 commencing singleton removal, initial pass
  85. Mon Oct 5 19:52:33 2015 memory use: 3012.0 MB
  86. Mon Oct 5 19:52:33 2015 reading all ideals from disk
  87. Mon Oct 5 19:52:51 2015 memory use: 2859.0 MB
  88. Mon Oct 5 19:52:57 2015 commencing in-memory singleton removal
  89. Mon Oct 5 19:53:02 2015 begin with 175448427 relations and 150683061 unique ideals
  90. Mon Oct 5 19:54:04 2015 reduce to 101346602 relations and 67721760 ideals in 16 passes
  91. Mon Oct 5 19:54:04 2015 max relations containing the same ideal: 31
  92. Mon Oct 5 19:54:08 2015 reading ideals above 720000
  93. Mon Oct 5 19:54:08 2015 commencing singleton removal, initial pass
  94. Mon Oct 5 20:06:45 2015 memory use: 2756.0 MB
  95. Mon Oct 5 20:06:45 2015 reading all ideals from disk
  96. Mon Oct 5 20:07:16 2015 memory use: 3993.4 MB
  97. Mon Oct 5 20:07:25 2015 keeping 87661549 ideals with weight <= 200, target excess is 518142
  98. Mon Oct 5 20:07:35 2015 commencing in-memory singleton removal
  99. Mon Oct 5 20:07:41 2015 begin with 101346604 relations and 87661549 unique ideals
  100. Mon Oct 5 20:08:47 2015 reduce to 101286123 relations and 87601018 ideals in 10 passes
  101. Mon Oct 5 20:08:47 2015 max relations containing the same ideal: 200
  102. Mon Oct 5 20:09:26 2015 removing 11945896 relations and 9945897 ideals in 2000000 cliques
  103. Mon Oct 5 20:09:29 2015 commencing in-memory singleton removal
  104. Mon Oct 5 20:09:35 2015 begin with 89340227 relations and 87601018 unique ideals
  105. Mon Oct 5 20:10:27 2015 reduce to 88307390 relations and 76596520 ideals in 9 passes
  106. Mon Oct 5 20:10:27 2015 max relations containing the same ideal: 191
  107. Mon Oct 5 20:11:00 2015 removing 9041593 relations and 7041593 ideals in 2000000 cliques
  108. Mon Oct 5 20:11:03 2015 commencing in-memory singleton removal
  109. Mon Oct 5 20:11:08 2015 begin with 79265797 relations and 76596520 unique ideals
  110. Mon Oct 5 20:11:54 2015 reduce to 78572880 relations and 68846496 ideals in 9 passes
  111. Mon Oct 5 20:11:54 2015 max relations containing the same ideal: 178
  112. Mon Oct 5 20:12:25 2015 removing 8163005 relations and 6163005 ideals in 2000000 cliques
  113. Mon Oct 5 20:12:28 2015 commencing in-memory singleton removal
  114. Mon Oct 5 20:12:32 2015 begin with 70409875 relations and 68846496 unique ideals
  115. Mon Oct 5 20:13:09 2015 reduce to 69783144 relations and 62042099 ideals in 8 passes
  116. Mon Oct 5 20:13:09 2015 max relations containing the same ideal: 166
  117. Mon Oct 5 20:13:35 2015 removing 7710704 relations and 5710704 ideals in 2000000 cliques
  118. Mon Oct 5 20:13:38 2015 commencing in-memory singleton removal
  119. Mon Oct 5 20:13:41 2015 begin with 62072440 relations and 62042099 unique ideals
  120. Mon Oct 5 20:14:12 2015 reduce to 61458474 relations and 55701871 ideals in 8 passes
  121. Mon Oct 5 20:14:12 2015 max relations containing the same ideal: 154
  122. Mon Oct 5 20:14:35 2015 removing 7429233 relations and 5429233 ideals in 2000000 cliques
  123. Mon Oct 5 20:14:37 2015 commencing in-memory singleton removal
  124. Mon Oct 5 20:14:40 2015 begin with 54029241 relations and 55701871 unique ideals
  125. Mon Oct 5 20:15:07 2015 reduce to 53395921 relations and 49621432 ideals in 8 passes
  126. Mon Oct 5 20:15:07 2015 max relations containing the same ideal: 143
  127. Mon Oct 5 20:15:28 2015 removing 7242655 relations and 5242655 ideals in 2000000 cliques
  128. Mon Oct 5 20:15:30 2015 commencing in-memory singleton removal
  129. Mon Oct 5 20:15:33 2015 begin with 46153266 relations and 49621432 unique ideals
  130. Mon Oct 5 20:15:56 2015 reduce to 45465515 relations and 43668757 ideals in 8 passes
  131. Mon Oct 5 20:15:56 2015 max relations containing the same ideal: 128
  132. Mon Oct 5 20:16:13 2015 removing 4732246 relations and 3536533 ideals in 1195713 cliques
  133. Mon Oct 5 20:16:15 2015 commencing in-memory singleton removal
  134. Mon Oct 5 20:16:17 2015 begin with 40733269 relations and 43668757 unique ideals
  135. Mon Oct 5 20:16:35 2015 reduce to 40395460 relations and 39786520 ideals in 7 passes
  136. Mon Oct 5 20:16:35 2015 max relations containing the same ideal: 119
  137. Mon Oct 5 20:16:56 2015 relations with 0 large ideals: 19773
  138. Mon Oct 5 20:16:56 2015 relations with 1 large ideals: 4870
  139. Mon Oct 5 20:16:56 2015 relations with 2 large ideals: 67610
  140. Mon Oct 5 20:16:56 2015 relations with 3 large ideals: 536375
  141. Mon Oct 5 20:16:56 2015 relations with 4 large ideals: 2325959
  142. Mon Oct 5 20:16:56 2015 relations with 5 large ideals: 6078605
  143. Mon Oct 5 20:16:56 2015 relations with 6 large ideals: 9966894
  144. Mon Oct 5 20:16:56 2015 relations with 7+ large ideals: 21395374
  145. Mon Oct 5 20:16:56 2015 commencing 2-way merge
  146. Mon Oct 5 20:17:15 2015 reduce to 26449522 relation sets and 25840582 unique ideals
  147. Mon Oct 5 20:17:15 2015 commencing full merge
  148. Mon Oct 5 20:25:47 2015 memory use: 3408.6 MB
  149. Mon Oct 5 20:25:49 2015 found 12059631 cycles, need 12042782
  150. Mon Oct 5 20:25:52 2015 weight of 12042782 cycles is about 1397055458 (116.01/cycle)
  151. Mon Oct 5 20:25:52 2015 distribution of cycle lengths:
  152. Mon Oct 5 20:25:52 2015 1 relations: 567975
  153. Mon Oct 5 20:25:52 2015 2 relations: 790504
  154. Mon Oct 5 20:25:52 2015 3 relations: 912906
  155. Mon Oct 5 20:25:52 2015 4 relations: 932889
  156. Mon Oct 5 20:25:52 2015 5 relations: 940102
  157. Mon Oct 5 20:25:52 2015 6 relations: 911286
  158. Mon Oct 5 20:25:52 2015 7 relations: 879039
  159. Mon Oct 5 20:25:52 2015 8 relations: 828010
  160. Mon Oct 5 20:25:52 2015 9 relations: 770648
  161. Mon Oct 5 20:25:52 2015 10+ relations: 4509423
  162. Mon Oct 5 20:25:52 2015 heaviest cycle: 28 relations
  163. Mon Oct 5 20:25:55 2015 commencing cycle optimization
  164. Mon Oct 5 20:26:14 2015 start with 102979857 relations
  165. Mon Oct 5 20:29:30 2015 pruned 4442879 relations
  166. Mon Oct 5 20:29:30 2015 memory use: 2742.8 MB
  167. Mon Oct 5 20:29:30 2015 distribution of cycle lengths:
  168. Mon Oct 5 20:29:30 2015 1 relations: 567975
  169. Mon Oct 5 20:29:30 2015 2 relations: 809964
  170. Mon Oct 5 20:29:30 2015 3 relations: 951591
  171. Mon Oct 5 20:29:30 2015 4 relations: 971259
  172. Mon Oct 5 20:29:30 2015 5 relations: 984086
  173. Mon Oct 5 20:29:30 2015 6 relations: 951393
  174. Mon Oct 5 20:29:30 2015 7 relations: 918681
  175. Mon Oct 5 20:29:30 2015 8 relations: 861797
  176. Mon Oct 5 20:29:30 2015 9 relations: 800291
  177. Mon Oct 5 20:29:30 2015 10+ relations: 4225745
  178. Mon Oct 5 20:29:30 2015 heaviest cycle: 28 relations
  179. Mon Oct 5 20:29:47 2015 RelProcTime: 5045
  180. Mon Oct 5 20:29:47 2015
  181. Mon Oct 5 20:29:47 2015 commencing linear algebra
  182. Mon Oct 5 20:29:52 2015 read 12042782 cycles
  183. Mon Oct 5 20:30:15 2015 cycles contain 39988758 unique relations
  184. Mon Oct 5 20:33:56 2015 read 39988758 relations
  185. Mon Oct 5 20:34:50 2015 using 20 quadratic characters above 2147482922
  186. Mon Oct 5 20:37:25 2015 building initial matrix
  187. Mon Oct 5 20:44:48 2015 memory use: 5075.1 MB
  188. Mon Oct 5 20:44:52 2015 read 12042782 cycles
  189. Mon Oct 5 20:44:54 2015 matrix is 12042605 x 12042782 (5446.8 MB) with weight 1558410543 (129.41/col)
  190. Mon Oct 5 20:44:54 2015 sparse part has weight 1307429143 (108.57/col)
  191. Mon Oct 5 20:47:10 2015 filtering completed in 2 passes
  192. Mon Oct 5 20:47:12 2015 matrix is 12042455 x 12042632 (5446.8 MB) with weight 1558405870 (129.41/col)
  193. Mon Oct 5 20:47:12 2015 sparse part has weight 1307427548 (108.57/col)
  194. Mon Oct 5 20:48:10 2015 matrix starts at (0, 0)
  195. Mon Oct 5 20:48:11 2015 matrix is 12042455 x 12042632 (5446.8 MB) with weight 1558405870 (129.41/col)
  196. Mon Oct 5 20:48:11 2015 sparse part has weight 1307427548 (108.57/col)
  197. Mon Oct 5 20:48:11 2015 saving the first 48 matrix rows for later
  198. Mon Oct 5 20:48:13 2015 matrix includes 64 packed rows
  199. Mon Oct 5 20:48:15 2015 matrix is 12042407 x 12042632 (5239.6 MB) with weight 1338113405 (111.11/col)
  200. Mon Oct 5 20:48:15 2015 sparse part has weight 1253099922 (104.06/col)
  201. Mon Oct 5 20:48:15 2015 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  202. Mon Oct 5 20:49:02 2015 commencing Lanczos iteration (4 threads)
  203. Mon Oct 5 20:49:02 2015 memory use: 4447.5 MB
  204. Mon Oct 5 20:50:03 2015 linear algebra at 0.0%, ETA 127h32m
  205. Mon Oct 5 20:50:22 2015 checkpointing every 100000 dimensions
  206. Sun Oct 11 00:54:03 2015 lanczos halted after 190439 iterations (dim = 12042405)
  207. Sun Oct 11 00:54:14 2015 recovered 35 nontrivial dependencies
  208. Sun Oct 11 00:54:15 2015 BLanczosTime: 447868
  209. Sun Oct 11 00:54:15 2015
  210. Sun Oct 11 00:54:15 2015 commencing square root phase
  211. Sun Oct 11 00:54:15 2015 handling dependencies 1 to 64
  212. Sun Oct 11 00:54:15 2015 reading relations for dependency 1
  213. Sun Oct 11 00:54:16 2015 read 6024547 cycles
  214. Sun Oct 11 00:54:26 2015 cycles contain 19999292 unique relations
  215. Sun Oct 11 00:57:59 2015 read 19999292 relations
  216. Sun Oct 11 00:59:10 2015 multiplying 19999292 relations
  217. Sun Oct 11 01:12:31 2015 multiply complete, coefficients have about 569.61 million bits
  218. Sun Oct 11 01:12:33 2015 initial square root is modulo 128959
  219. Sun Oct 11 01:26:59 2015 GCD is N, no factor found
  220. Sun Oct 11 01:26:59 2015 reading relations for dependency 2
  221. Sun Oct 11 01:27:00 2015 read 6020427 cycles
  222. Sun Oct 11 01:27:11 2015 cycles contain 19992202 unique relations
  223. Sun Oct 11 01:30:40 2015 read 19992202 relations
  224. Sun Oct 11 01:31:51 2015 multiplying 19992202 relations
  225. Sun Oct 11 01:45:14 2015 multiply complete, coefficients have about 569.40 million bits
  226. Sun Oct 11 01:45:15 2015 initial square root is modulo 128377
  227. Sun Oct 11 01:59:43 2015 sqrtTime: 3928
  228. Sun Oct 11 01:59:43 2015 prp94 factor: 1635436364754866709175203077722097489334683267079443725835538146128360353736242255601015535807
  229. Sun Oct 11 01:59:43 2015 prp149 factor: 10572857855750547699836727728026872623158757755564413708137687905230342799680975713011813224561190741758928989225115456501640801378348660784257863259
  230. Sun Oct 11 01:59:43 2015 elapsed time 126:54:04
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