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3_521_plus_2_521

vang0001 Apr 18th, 2016 75 Never
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  1. Thu Apr 14 03:56:12 2016  Msieve v. 1.52 (SVN exported)
  2. Thu Apr 14 03:56:12 2016  random seeds: 4535722b c6cfe05c
  3. Thu Apr 14 03:56:12 2016  factoring 3769261821747665199064315935570433572568906466906128488594555009225834734334964256074527183813175589330188239868767034086812553843347526276499209591053794912267104332381010545003073892553228565100030048424519771869028053605313707822631 (235 digits)
  4. Thu Apr 14 03:56:15 2016  searching for 15-digit factors
  5. Thu Apr 14 03:56:19 2016  commencing number field sieve (235-digit input)
  6. Thu Apr 14 03:56:19 2016  R0: 323257909929174534292273980721360271853387
  7. Thu Apr 14 03:56:19 2016  R1: -154742504910672534362390528
  8. Thu Apr 14 03:56:19 2016  A0: 3
  9. Thu Apr 14 03:56:19 2016  A1: 0
  10. Thu Apr 14 03:56:19 2016  A2: 0
  11. Thu Apr 14 03:56:19 2016  A3: 0
  12. Thu Apr 14 03:56:19 2016  A4: 0
  13. Thu Apr 14 03:56:19 2016  A5: 0
  14. Thu Apr 14 03:56:19 2016  A6: 2
  15. Thu Apr 14 03:56:19 2016  skew 1.00, size 2.773e-12, alpha 1.523, combined = 2.476e-13 rroots = 0
  16. Thu Apr 14 03:56:19 2016  
  17. Thu Apr 14 03:56:19 2016  commencing relation filtering
  18. Thu Apr 14 03:56:19 2016  setting target matrix density to 120.0
  19. Thu Apr 14 03:56:19 2016  estimated available RAM is 64392.0 MB
  20. Thu Apr 14 03:56:19 2016  commencing duplicate removal, pass 1
  21. Thu Apr 14 04:59:24 2016  error -5 reading relation 178788707
  22. Thu Apr 14 05:04:18 2016  error -9 reading relation 193086802
  23. Thu Apr 14 05:05:03 2016  error -15 reading relation 195353466
  24. Thu Apr 14 05:05:32 2016  error -15 reading relation 196702360
  25. Thu Apr 14 05:05:32 2016  error -15 reading relation 196714763
  26. Thu Apr 14 05:05:39 2016  error -15 reading relation 196980298
  27. Thu Apr 14 05:06:00 2016  error -15 reading relation 197988714
  28. Thu Apr 14 05:06:03 2016  error -9 reading relation 198136910
  29. Thu Apr 14 05:06:38 2016  error -9 reading relation 199847363
  30. Thu Apr 14 05:06:44 2016  error -5 reading relation 200131703
  31. Thu Apr 14 05:06:45 2016  error -15 reading relation 200158048
  32. Thu Apr 14 05:06:46 2016  error -5 reading relation 200212361
  33. Thu Apr 14 05:06:46 2016  error -9 reading relation 200218906
  34. Thu Apr 14 05:06:54 2016  error -15 reading relation 200624105
  35. Thu Apr 14 05:07:00 2016  error -1 reading relation 200911037
  36. Thu Apr 14 05:07:00 2016  error -9 reading relation 200917508
  37. Thu Apr 14 05:07:02 2016  error -9 reading relation 201002338
  38. Thu Apr 14 05:07:57 2016  error -1 reading relation 203780061
  39. Thu Apr 14 05:07:58 2016  error -15 reading relation 203825894
  40. Thu Apr 14 05:08:04 2016  error -5 reading relation 204111502
  41. Thu Apr 14 05:08:28 2016  error -15 reading relation 205346359
  42. Thu Apr 14 05:09:40 2016  error -15 reading relation 209048076
  43. Thu Apr 14 05:09:42 2016  error -15 reading relation 209166993
  44. Thu Apr 14 05:09:42 2016  error -9 reading relation 209173314
  45. Thu Apr 14 05:09:53 2016  error -5 reading relation 209725004
  46. Thu Apr 14 05:11:17 2016  error -9 reading relation 213603509
  47. Thu Apr 14 05:11:17 2016  error -9 reading relation 213638709
  48. Thu Apr 14 05:11:54 2016  error -9 reading relation 215411032
  49. Thu Apr 14 05:11:54 2016  error -1 reading relation 215411779
  50. Thu Apr 14 05:11:54 2016  error -1 reading relation 215411780
  51. Thu Apr 14 05:12:22 2016  error -9 reading relation 216787495
  52. Thu Apr 14 05:12:24 2016  error -15 reading relation 216895232
  53. Thu Apr 14 05:14:06 2016  skipped 72 relations with b > 2^32
  54. Thu Apr 14 05:14:06 2016  found 45901334 hash collisions in 221454230 relations
  55. Thu Apr 14 05:14:27 2016  added 1 free relations
  56. Thu Apr 14 05:14:27 2016  commencing duplicate removal, pass 2
  57. Thu Apr 14 05:56:53 2016  found 46588706 duplicates and 174865525 unique relations
  58. Thu Apr 14 05:56:53 2016  memory use: 1321.5 MB
  59. Thu Apr 14 05:56:53 2016  reading ideals above 720000
  60. Thu Apr 14 05:56:53 2016  commencing singleton removal, initial pass
  61. Thu Apr 14 07:23:14 2016  memory use: 5512.0 MB
  62. Thu Apr 14 07:23:15 2016  reading all ideals from disk
  63. Thu Apr 14 07:24:11 2016  memory use: 6921.2 MB
  64. Thu Apr 14 07:24:45 2016  keeping 170273374 ideals with weight <= 200, target excess is 891789
  65. Thu Apr 14 07:25:25 2016  commencing in-memory singleton removal
  66. Thu Apr 14 07:25:52 2016  begin with 174865525 relations and 170273374 unique ideals
  67. Thu Apr 14 07:31:32 2016  reduce to 100517332 relations and 87007876 ideals in 16 passes
  68. Thu Apr 14 07:31:32 2016  max relations containing the same ideal: 148
  69. Thu Apr 14 07:32:55 2016  removing 11993323 relations and 9993323 ideals in 2000000 cliques
  70. Thu Apr 14 07:33:01 2016  commencing in-memory singleton removal
  71. Thu Apr 14 07:33:15 2016  begin with 88524009 relations and 87007876 unique ideals
  72. Thu Apr 14 07:36:03 2016  reduce to 87466298 relations and 75930360 ideals in 10 passes
  73. Thu Apr 14 07:36:03 2016  max relations containing the same ideal: 133
  74. Thu Apr 14 07:37:13 2016  removing 9089295 relations and 7089295 ideals in 2000000 cliques
  75. Thu Apr 14 07:37:19 2016  commencing in-memory singleton removal
  76. Thu Apr 14 07:37:31 2016  begin with 78377003 relations and 75930360 unique ideals
  77. Thu Apr 14 07:39:34 2016  reduce to 77663909 relations and 68111542 ideals in 9 passes
  78. Thu Apr 14 07:39:34 2016  max relations containing the same ideal: 127
  79. Thu Apr 14 07:40:47 2016  removing 8205386 relations and 6205386 ideals in 2000000 cliques
  80. Thu Apr 14 07:40:52 2016  commencing in-memory singleton removal
  81. Thu Apr 14 07:41:02 2016  begin with 69458523 relations and 68111542 unique ideals
  82. Thu Apr 14 07:42:47 2016  reduce to 68811432 relations and 61243769 ideals in 8 passes
  83. Thu Apr 14 07:42:47 2016  max relations containing the same ideal: 118
  84. Thu Apr 14 07:43:44 2016  removing 7758201 relations and 5758201 ideals in 2000000 cliques
  85. Thu Apr 14 07:43:49 2016  commencing in-memory singleton removal
  86. Thu Apr 14 07:43:57 2016  begin with 61053231 relations and 61243769 unique ideals
  87. Thu Apr 14 07:45:38 2016  reduce to 60418413 relations and 54834428 ideals in 9 passes
  88. Thu Apr 14 07:45:38 2016  max relations containing the same ideal: 105
  89. Thu Apr 14 07:46:26 2016  removing 7479965 relations and 5479965 ideals in 2000000 cliques
  90. Thu Apr 14 07:46:30 2016  commencing in-memory singleton removal
  91. Thu Apr 14 07:46:37 2016  begin with 52938448 relations and 54834428 unique ideals
  92. Thu Apr 14 07:47:40 2016  reduce to 52276558 relations and 48673554 ideals in 8 passes
  93. Thu Apr 14 07:47:40 2016  max relations containing the same ideal: 92
  94. Thu Apr 14 07:48:23 2016  removing 7300564 relations and 5300564 ideals in 2000000 cliques
  95. Thu Apr 14 07:48:27 2016  commencing in-memory singleton removal
  96. Thu Apr 14 07:48:33 2016  begin with 44975994 relations and 48673554 unique ideals
  97. Thu Apr 14 07:49:37 2016  reduce to 44250327 relations and 42623096 ideals in 9 passes
  98. Thu Apr 14 07:49:37 2016  max relations containing the same ideal: 84
  99. Thu Apr 14 07:50:12 2016  removing 2745800 relations and 2153045 ideals in 592755 cliques
  100. Thu Apr 14 07:50:14 2016  commencing in-memory singleton removal
  101. Thu Apr 14 07:50:21 2016  begin with 41504527 relations and 42623096 unique ideals
  102. Thu Apr 14 07:51:09 2016  reduce to 41390700 relations and 40354908 ideals in 7 passes
  103. Thu Apr 14 07:51:09 2016  max relations containing the same ideal: 82
  104. Thu Apr 14 07:51:53 2016  relations with 0 large ideals: 34077
  105. Thu Apr 14 07:51:53 2016  relations with 1 large ideals: 16985
  106. Thu Apr 14 07:51:53 2016  relations with 2 large ideals: 223674
  107. Thu Apr 14 07:51:53 2016  relations with 3 large ideals: 1369786
  108. Thu Apr 14 07:51:53 2016  relations with 4 large ideals: 4546614
  109. Thu Apr 14 07:51:53 2016  relations with 5 large ideals: 9014576
  110. Thu Apr 14 07:51:53 2016  relations with 6 large ideals: 11137409
  111. Thu Apr 14 07:51:53 2016  relations with 7+ large ideals: 15047579
  112. Thu Apr 14 07:51:53 2016  commencing 2-way merge
  113. Thu Apr 14 07:52:35 2016  reduce to 27027375 relation sets and 25991583 unique ideals
  114. Thu Apr 14 07:52:35 2016  commencing full merge
  115. Thu Apr 14 08:09:57 2016  memory use: 3398.3 MB
  116. Thu Apr 14 08:10:00 2016  found 12088826 cycles, need 12045783
  117. Thu Apr 14 08:10:05 2016  weight of 12045783 cycles is about 1445917221 (120.04/cycle)
  118. Thu Apr 14 08:10:05 2016  distribution of cycle lengths:
  119. Thu Apr 14 08:10:05 2016  1 relations: 529782
  120. Thu Apr 14 08:10:05 2016  2 relations: 735227
  121. Thu Apr 14 08:10:05 2016  3 relations: 851987
  122. Thu Apr 14 08:10:05 2016  4 relations: 872652
  123. Thu Apr 14 08:10:05 2016  5 relations: 883136
  124. Thu Apr 14 08:10:05 2016  6 relations: 863445
  125. Thu Apr 14 08:10:05 2016  7 relations: 837086
  126. Thu Apr 14 08:10:05 2016  8 relations: 796724
  127. Thu Apr 14 08:10:05 2016  9 relations: 751965
  128. Thu Apr 14 08:10:05 2016  10+ relations: 4923779
  129. Thu Apr 14 08:10:05 2016  heaviest cycle: 28 relations
  130. Thu Apr 14 08:10:09 2016  commencing cycle optimization
  131. Thu Apr 14 08:10:47 2016  start with 108436429 relations
  132. Thu Apr 14 08:18:06 2016  pruned 4842423 relations
  133. Thu Apr 14 08:18:06 2016  memory use: 2831.9 MB
  134. Thu Apr 14 08:18:07 2016  distribution of cycle lengths:
  135. Thu Apr 14 08:18:07 2016  1 relations: 529782
  136. Thu Apr 14 08:18:07 2016  2 relations: 753549
  137. Thu Apr 14 08:18:07 2016  3 relations: 888438
  138. Thu Apr 14 08:18:07 2016  4 relations: 909125
  139. Thu Apr 14 08:18:07 2016  5 relations: 926025
  140. Thu Apr 14 08:18:07 2016  6 relations: 902914
  141. Thu Apr 14 08:18:07 2016  7 relations: 878183
  142. Thu Apr 14 08:18:07 2016  8 relations: 832597
  143. Thu Apr 14 08:18:07 2016  9 relations: 783764
  144. Thu Apr 14 08:18:07 2016  10+ relations: 4641406
  145. Thu Apr 14 08:18:07 2016  heaviest cycle: 28 relations
  146. Thu Apr 14 08:18:31 2016  RelProcTime: 15732
  147. Thu Apr 14 08:18:31 2016  elapsed time 04:22:19
  148.  
  149.  
  150. Fri Apr 15 16:33:14 2016  Msieve v. 1.52 (SVN exported)
  151. Fri Apr 15 16:33:14 2016  random seeds: 24b73e03 77524bed
  152. Fri Apr 15 16:33:14 2016  MPI process 0 of 2
  153. Fri Apr 15 16:33:14 2016  factoring 3769261821747665199064315935570433572568906466906128488594555009225834734334964256074527183813175589330188239868767034086812553843347526276499209591053794912267104332381010545003073892553228565100030048424519771869028053605313707822631 (235 digits)
  154. Fri Apr 15 16:33:17 2016  searching for 15-digit factors
  155. Fri Apr 15 16:33:19 2016  commencing number field sieve (235-digit input)
  156. Fri Apr 15 16:33:19 2016  R0: 323257909929174534292273980721360271853387
  157. Fri Apr 15 16:33:19 2016  R1: -154742504910672534362390528
  158. Fri Apr 15 16:33:19 2016  A0: 3
  159. Fri Apr 15 16:33:19 2016  A1: 0
  160. Fri Apr 15 16:33:19 2016  A2: 0
  161. Fri Apr 15 16:33:19 2016  A3: 0
  162. Fri Apr 15 16:33:19 2016  A4: 0
  163. Fri Apr 15 16:33:19 2016  A5: 0
  164. Fri Apr 15 16:33:19 2016  A6: 2
  165. Fri Apr 15 16:33:19 2016  skew 1.00, size 2.773e-12, alpha 1.523, combined = 2.476e-13 rroots = 0
  166. Fri Apr 15 16:33:19 2016  
  167. Fri Apr 15 16:33:19 2016  commencing linear algebra
  168. Fri Apr 15 16:33:19 2016  skipping matrix build
  169. Fri Apr 15 16:33:19 2016  initialized process (0,0) of 1 x 2 grid
  170. Fri Apr 15 16:33:26 2016  matrix starts at (0, 0)
  171. Fri Apr 15 16:33:28 2016  matrix is 12045351 x 6022783 (2846.6 MB) with weight 813628505 (135.09/col)
  172. Fri Apr 15 16:33:28 2016  sparse part has weight 679974708 (112.90/col)
  173. Fri Apr 15 16:33:28 2016  saving the first 48 matrix rows for later
  174. Fri Apr 15 16:33:29 2016  matrix includes 64 packed rows
  175. Fri Apr 15 16:33:31 2016  matrix is 12045303 x 6022783 (2721.2 MB) with weight 698650394 (116.00/col)
  176. Fri Apr 15 16:33:31 2016  sparse part has weight 653105633 (108.44/col)
  177. Fri Apr 15 16:33:31 2016  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
  178. Fri Apr 15 16:34:18 2016  commencing Lanczos iteration (12 threads)
  179. Fri Apr 15 16:34:18 2016  memory use: 2363.6 MB
  180. Fri Apr 15 16:34:45 2016  linear algebra at 0.0%, ETA 57h15m
  181. Fri Apr 15 16:34:54 2016  checkpointing every 210000 dimensions
  182. Mon Apr 18 01:18:11 2016  lanczos halted after 190480 iterations (dim = 12045301)
  183. Mon Apr 18 01:18:53 2016  recovered 36 nontrivial dependencies
  184. Mon Apr 18 01:18:53 2016  BLanczosTime: 204334
  185. Mon Apr 18 01:18:53 2016  elapsed time 56:45:39
  186.  
  187.  
  188. Mon Apr 18 01:37:55 2016  Msieve v. 1.52 (SVN exported)
  189. Mon Apr 18 01:37:55 2016  random seeds: 6ab9bb2b f5fa7ae0
  190. Mon Apr 18 01:37:55 2016  factoring 3769261821747665199064315935570433572568906466906128488594555009225834734334964256074527183813175589330188239868767034086812553843347526276499209591053794912267104332381010545003073892553228565100030048424519771869028053605313707822631 (235 digits)
  191. Mon Apr 18 01:37:57 2016  searching for 15-digit factors
  192. Mon Apr 18 01:38:00 2016  commencing number field sieve (235-digit input)
  193. Mon Apr 18 01:38:00 2016  R0: 323257909929174534292273980721360271853387
  194. Mon Apr 18 01:38:00 2016  R1: -154742504910672534362390528
  195. Mon Apr 18 01:38:00 2016  A0: 3
  196. Mon Apr 18 01:38:00 2016  A1: 0
  197. Mon Apr 18 01:38:00 2016  A2: 0
  198. Mon Apr 18 01:38:00 2016  A3: 0
  199. Mon Apr 18 01:38:00 2016  A4: 0
  200. Mon Apr 18 01:38:00 2016  A5: 0
  201. Mon Apr 18 01:38:00 2016  A6: 2
  202. Mon Apr 18 01:38:00 2016  skew 1.00, size 2.773e-12, alpha 1.523, combined = 2.476e-13 rroots = 0
  203. Mon Apr 18 01:38:00 2016  
  204. Mon Apr 18 01:38:00 2016  commencing square root phase
  205. Mon Apr 18 01:38:00 2016  reading relations for dependency 1
  206. Mon Apr 18 01:38:01 2016  read 6024606 cycles
  207. Mon Apr 18 01:38:19 2016  cycles contain 20411812 unique relations
  208. Mon Apr 18 02:16:10 2016  read 20411812 relations
  209. Mon Apr 18 02:18:26 2016  multiplying 20411812 relations
  210. Mon Apr 18 02:41:35 2016  multiply complete, coefficients have about 533.19 million bits
  211. Mon Apr 18 02:41:39 2016  initial square root is modulo 60757
  212. Mon Apr 18 03:06:21 2016  GCD is 1, no factor found
  213. Mon Apr 18 03:06:21 2016  reading relations for dependency 2
  214. Mon Apr 18 03:06:23 2016  read 6022759 cycles
  215. Mon Apr 18 03:06:40 2016  cycles contain 20407072 unique relations
  216. Mon Apr 18 03:41:21 2016  read 20407072 relations
  217. Mon Apr 18 03:43:27 2016  multiplying 20407072 relations
  218. Mon Apr 18 04:04:01 2016  multiply complete, coefficients have about 533.07 million bits
  219. Mon Apr 18 04:04:05 2016  initial square root is modulo 60637
  220. Mon Apr 18 04:25:52 2016  GCD is N, no factor found
  221. Mon Apr 18 04:25:52 2016  reading relations for dependency 3
  222. Mon Apr 18 04:25:53 2016  read 6022295 cycles
  223. Mon Apr 18 04:26:10 2016  cycles contain 20402206 unique relations
  224. Mon Apr 18 04:59:26 2016  read 20402206 relations
  225. Mon Apr 18 05:01:31 2016  multiplying 20402206 relations
  226. Mon Apr 18 05:22:06 2016  multiply complete, coefficients have about 532.94 million bits
  227. Mon Apr 18 05:22:10 2016  initial square root is modulo 60589
  228. Mon Apr 18 05:44:00 2016  sqrtTime: 14760
  229. Mon Apr 18 05:44:00 2016  prp69 factor: 111078630916414549898214685926111959075057254189979081034182790451421
  230. Mon Apr 18 05:44:00 2016  prp167 factor: 33933275830379952493064638810978510923097006770827525353170184406939808549116264586108327968020509538409736509419498214852161387520641485277403038083476747290464717011
  231. Mon Apr 18 05:44:00 2016  elapsed time 04:06:05
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