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Mar 10th, 2020
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  1. Sat Feb 22 23:02:52 2020 Msieve v. 1.54 (SVN 1025)
  2. Sat Feb 22 23:02:52 2020 random seeds: b4490a15 56643acc
  3. Sat Feb 22 23:02:52 2020 factoring 2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (247 digits)
  4. Sat Feb 22 23:02:53 2020 no P-1/P+1/ECM available, skipping
  5. Sat Feb 22 23:02:53 2020 commencing number field sieve (247-digit input)
  6. Sat Feb 22 23:02:53 2020 R0: -100000000000000000000000000000000000000000
  7. Sat Feb 22 23:02:53 2020 R1: 1
  8. Sat Feb 22 23:02:53 2020 A0: -7
  9. Sat Feb 22 23:02:53 2020 A1: 0
  10. Sat Feb 22 23:02:53 2020 A2: 0
  11. Sat Feb 22 23:02:53 2020 A3: 0
  12. Sat Feb 22 23:02:53 2020 A4: 0
  13. Sat Feb 22 23:02:53 2020 A5: 0
  14. Sat Feb 22 23:02:53 2020 A6: 25
  15. Sat Feb 22 23:02:53 2020 skew 1.00, size 3.468e-12, alpha 0.442, combined = 2.929e-13 rroots = 2
  16. Sat Feb 22 23:02:53 2020
  17. Sat Feb 22 23:02:53 2020 commencing relation filtering
  18. Sat Feb 22 23:02:53 2020 setting target matrix density to 110.0
  19. Sat Feb 22 23:02:53 2020 estimated available RAM is 15892.1 MB
  20. Sat Feb 22 23:02:53 2020 commencing duplicate removal, pass 1
  21. Sat Feb 22 23:45:49 2020 skipped 134 relations with b > 2^32
  22. Sat Feb 22 23:45:49 2020 skipped 2341 relations with composite factors
  23. Sat Feb 22 23:45:49 2020 found 57516243 hash collisions in 251390063 relations
  24. Sat Feb 22 23:46:04 2020 commencing duplicate removal, pass 2
  25. Sat Feb 22 23:52:56 2020 found 62438103 duplicates and 188951960 unique relations
  26. Sat Feb 22 23:52:56 2020 memory use: 1449.5 MB
  27. Sat Feb 22 23:52:56 2020 reading ideals above 159973376
  28. Sat Feb 22 23:52:56 2020 commencing singleton removal, initial pass
  29. Sun Feb 23 00:23:59 2020 memory use: 3012.0 MB
  30. Sun Feb 23 00:23:59 2020 reading all ideals from disk
  31. Sun Feb 23 00:24:20 2020 memory use: 3283.9 MB
  32. Sun Feb 23 00:24:30 2020 commencing in-memory singleton removal
  33. Sun Feb 23 00:24:39 2020 begin with 188951960 relations and 159672716 unique ideals
  34. Sun Feb 23 00:26:38 2020 reduce to 120938460 relations and 84595807 ideals in 15 passes
  35. Sun Feb 23 00:26:38 2020 max relations containing the same ideal: 44
  36. Sun Feb 23 00:26:50 2020 reading ideals above 720000
  37. Sun Feb 23 00:26:50 2020 commencing singleton removal, initial pass
  38. Sun Feb 23 00:55:44 2020 memory use: 2756.0 MB
  39. Sun Feb 23 00:55:44 2020 reading all ideals from disk
  40. Sun Feb 23 00:56:15 2020 memory use: 4775.7 MB
  41. Sun Feb 23 00:56:31 2020 keeping 101936824 ideals with weight <= 200, target excess is 602737
  42. Sun Feb 23 00:56:50 2020 commencing in-memory singleton removal
  43. Sun Feb 23 00:57:02 2020 begin with 120938460 relations and 101936824 unique ideals
  44. Sun Feb 23 00:58:35 2020 reduce to 120929583 relations and 101927945 ideals in 7 passes
  45. Sun Feb 23 00:58:35 2020 max relations containing the same ideal: 200
  46. Sun Feb 23 00:59:42 2020 removing 11623548 relations and 9623548 ideals in 2000000 cliques
  47. Sun Feb 23 00:59:46 2020 commencing in-memory singleton removal
  48. Sun Feb 23 00:59:57 2020 begin with 109306035 relations and 101927945 unique ideals
  49. Sun Feb 23 01:01:43 2020 reduce to 108379840 relations and 91357942 ideals in 9 passes
  50. Sun Feb 23 01:01:43 2020 max relations containing the same ideal: 194
  51. Sun Feb 23 01:02:48 2020 removing 8892237 relations and 6892237 ideals in 2000000 cliques
  52. Sun Feb 23 01:02:52 2020 commencing in-memory singleton removal
  53. Sun Feb 23 01:03:04 2020 begin with 99487603 relations and 91357942 unique ideals
  54. Sun Feb 23 01:04:48 2020 reduce to 98868630 relations and 83834802 ideals in 8 passes
  55. Sun Feb 23 01:04:48 2020 max relations containing the same ideal: 187
  56. Sun Feb 23 01:05:53 2020 removing 8074422 relations and 6074422 ideals in 2000000 cliques
  57. Sun Feb 23 01:05:57 2020 commencing in-memory singleton removal
  58. Sun Feb 23 01:06:07 2020 begin with 90794208 relations and 83834802 unique ideals
  59. Sun Feb 23 01:07:53 2020 reduce to 90239186 relations and 77194644 ideals in 9 passes
  60. Sun Feb 23 01:07:53 2020 max relations containing the same ideal: 175
  61. Sun Feb 23 01:08:53 2020 removing 7675016 relations and 5675016 ideals in 2000000 cliques
  62. Sun Feb 23 01:08:57 2020 commencing in-memory singleton removal
  63. Sun Feb 23 01:09:06 2020 begin with 82564170 relations and 77194644 unique ideals
  64. Sun Feb 23 01:10:31 2020 reduce to 82028191 relations and 70972717 ideals in 8 passes
  65. Sun Feb 23 01:10:31 2020 max relations containing the same ideal: 167
  66. Sun Feb 23 01:11:26 2020 removing 7445680 relations and 5445680 ideals in 2000000 cliques
  67. Sun Feb 23 01:11:30 2020 commencing in-memory singleton removal
  68. Sun Feb 23 01:11:38 2020 begin with 74582511 relations and 70972717 unique ideals
  69. Sun Feb 23 01:12:55 2020 reduce to 74040065 relations and 64972742 ideals in 8 passes
  70. Sun Feb 23 01:12:55 2020 max relations containing the same ideal: 155
  71. Sun Feb 23 01:13:44 2020 removing 7307654 relations and 5307654 ideals in 2000000 cliques
  72. Sun Feb 23 01:13:47 2020 commencing in-memory singleton removal
  73. Sun Feb 23 01:13:55 2020 begin with 66732411 relations and 64972742 unique ideals
  74. Sun Feb 23 01:15:00 2020 reduce to 66166098 relations and 59085232 ideals in 8 passes
  75. Sun Feb 23 01:15:00 2020 max relations containing the same ideal: 144
  76. Sun Feb 23 01:15:45 2020 removing 7221046 relations and 5221046 ideals in 2000000 cliques
  77. Sun Feb 23 01:15:48 2020 commencing in-memory singleton removal
  78. Sun Feb 23 01:15:54 2020 begin with 58945052 relations and 59085232 unique ideals
  79. Sun Feb 23 01:16:50 2020 reduce to 58338688 relations and 53241701 ideals in 8 passes
  80. Sun Feb 23 01:16:50 2020 max relations containing the same ideal: 133
  81. Sun Feb 23 01:17:30 2020 removing 7182462 relations and 5182462 ideals in 2000000 cliques
  82. Sun Feb 23 01:17:33 2020 commencing in-memory singleton removal
  83. Sun Feb 23 01:17:38 2020 begin with 51156226 relations and 53241701 unique ideals
  84. Sun Feb 23 01:18:25 2020 reduce to 50484167 relations and 47366804 ideals in 8 passes
  85. Sun Feb 23 01:18:25 2020 max relations containing the same ideal: 122
  86. Sun Feb 23 01:19:00 2020 removing 7171598 relations and 5171598 ideals in 2000000 cliques
  87. Sun Feb 23 01:19:03 2020 commencing in-memory singleton removal
  88. Sun Feb 23 01:19:07 2020 begin with 43312569 relations and 47366804 unique ideals
  89. Sun Feb 23 01:20:04 2020 reduce to 42537844 relations and 41393883 ideals in 11 passes
  90. Sun Feb 23 01:20:04 2020 max relations containing the same ideal: 109
  91. Sun Feb 23 01:20:34 2020 removing 2187536 relations and 1742750 ideals in 444786 cliques
  92. Sun Feb 23 01:20:36 2020 commencing in-memory singleton removal
  93. Sun Feb 23 01:20:40 2020 begin with 40350308 relations and 41393883 unique ideals
  94. Sun Feb 23 01:21:13 2020 reduce to 40271384 relations and 39571447 ideals in 7 passes
  95. Sun Feb 23 01:21:13 2020 max relations containing the same ideal: 106
  96. Sun Feb 23 01:21:47 2020 relations with 0 large ideals: 22769
  97. Sun Feb 23 01:21:47 2020 relations with 1 large ideals: 7317
  98. Sun Feb 23 01:21:47 2020 relations with 2 large ideals: 94313
  99. Sun Feb 23 01:21:47 2020 relations with 3 large ideals: 696914
  100. Sun Feb 23 01:21:47 2020 relations with 4 large ideals: 2815792
  101. Sun Feb 23 01:21:47 2020 relations with 5 large ideals: 6826394
  102. Sun Feb 23 01:21:47 2020 relations with 6 large ideals: 10379707
  103. Sun Feb 23 01:21:47 2020 relations with 7+ large ideals: 19428178
  104. Sun Feb 23 01:21:47 2020 commencing 2-way merge
  105. Sun Feb 23 01:22:24 2020 reduce to 26169978 relation sets and 25470041 unique ideals
  106. Sun Feb 23 01:22:24 2020 commencing full merge
  107. Sun Feb 23 01:34:59 2020 memory use: 3360.8 MB
  108. Sun Feb 23 01:35:01 2020 found 12062401 cycles, need 12018241
  109. Sun Feb 23 01:35:05 2020 weight of 12018241 cycles is about 1322109212 (110.01/cycle)
  110. Sun Feb 23 01:35:05 2020 distribution of cycle lengths:
  111. Sun Feb 23 01:35:05 2020 1 relations: 666937
  112. Sun Feb 23 01:35:05 2020 2 relations: 852846
  113. Sun Feb 23 01:35:05 2020 3 relations: 945756
  114. Sun Feb 23 01:35:05 2020 4 relations: 947110
  115. Sun Feb 23 01:35:05 2020 5 relations: 938379
  116. Sun Feb 23 01:35:05 2020 6 relations: 907320
  117. Sun Feb 23 01:35:05 2020 7 relations: 865942
  118. Sun Feb 23 01:35:05 2020 8 relations: 813327
  119. Sun Feb 23 01:35:05 2020 9 relations: 754650
  120. Sun Feb 23 01:35:05 2020 10+ relations: 4325974
  121. Sun Feb 23 01:35:05 2020 heaviest cycle: 28 relations
  122. Sun Feb 23 01:35:09 2020 commencing cycle optimization
  123. Sun Feb 23 01:35:32 2020 start with 99585653 relations
  124. Sun Feb 23 01:39:20 2020 pruned 4152340 relations
  125. Sun Feb 23 01:39:20 2020 memory use: 2698.8 MB
  126. Sun Feb 23 01:39:20 2020 distribution of cycle lengths:
  127. Sun Feb 23 01:39:20 2020 1 relations: 666937
  128. Sun Feb 23 01:39:20 2020 2 relations: 873137
  129. Sun Feb 23 01:39:20 2020 3 relations: 985265
  130. Sun Feb 23 01:39:20 2020 4 relations: 983934
  131. Sun Feb 23 01:39:20 2020 5 relations: 980177
  132. Sun Feb 23 01:39:20 2020 6 relations: 945350
  133. Sun Feb 23 01:39:20 2020 7 relations: 904773
  134. Sun Feb 23 01:39:20 2020 8 relations: 844212
  135. Sun Feb 23 01:39:20 2020 9 relations: 781195
  136. Sun Feb 23 01:39:20 2020 10+ relations: 4053261
  137. Sun Feb 23 01:39:20 2020 heaviest cycle: 28 relations
  138. Sun Feb 23 01:39:50 2020 RelProcTime: 9417
  139. Sun Feb 23 01:39:50 2020 elapsed time 02:36:58
  140. Sun Feb 23 01:40:14 2020
  141. Sun Feb 23 01:40:14 2020
  142. Sun Feb 23 01:40:14 2020 Msieve v. 1.54 (SVN 1025)
  143. Sun Feb 23 01:40:14 2020 random seeds: 7fccd0af ace5f9a6
  144. Sun Feb 23 01:40:14 2020 factoring 2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (247 digits)
  145. Sun Feb 23 01:40:15 2020 no P-1/P+1/ECM available, skipping
  146. Sun Feb 23 01:40:15 2020 commencing number field sieve (247-digit input)
  147. Sun Feb 23 01:40:15 2020 R0: -100000000000000000000000000000000000000000
  148. Sun Feb 23 01:40:15 2020 R1: 1
  149. Sun Feb 23 01:40:15 2020 A0: -7
  150. Sun Feb 23 01:40:15 2020 A1: 0
  151. Sun Feb 23 01:40:15 2020 A2: 0
  152. Sun Feb 23 01:40:15 2020 A3: 0
  153. Sun Feb 23 01:40:15 2020 A4: 0
  154. Sun Feb 23 01:40:15 2020 A5: 0
  155. Sun Feb 23 01:40:15 2020 A6: 25
  156. Sun Feb 23 01:40:15 2020 skew 1.00, size 3.468e-12, alpha 0.442, combined = 2.929e-13 rroots = 2
  157. Sun Feb 23 01:40:15 2020
  158. Sun Feb 23 01:40:15 2020 commencing linear algebra
  159. Sun Feb 23 01:40:16 2020 read 12018241 cycles
  160. Sun Feb 23 01:40:42 2020 cycles contain 39874774 unique relations
  161. Sun Feb 23 01:48:24 2020 read 39874774 relations
  162. Sun Feb 23 01:49:43 2020 using 20 quadratic characters above 4294917295
  163. Sun Feb 23 01:53:15 2020 building initial matrix
  164. Sun Feb 23 02:05:53 2020 memory use: 5175.2 MB
  165. Sun Feb 23 02:06:33 2020 read 12018241 cycles
  166. Sun Feb 23 02:06:34 2020 matrix is 12018064 x 12018241 (5241.7 MB) with weight 1508165405 (125.49/col)
  167. Sun Feb 23 02:06:34 2020 sparse part has weight 1241868423 (103.33/col)
  168. Sun Feb 23 02:08:56 2020 filtering completed in 2 passes
  169. Sun Feb 23 02:08:58 2020 matrix is 12017756 x 12017933 (5241.6 MB) with weight 1508155381 (125.49/col)
  170. Sun Feb 23 02:08:58 2020 sparse part has weight 1241865469 (103.33/col)
  171. Sun Feb 23 02:10:36 2020 matrix starts at (0, 0)
  172. Sun Feb 23 02:10:37 2020 matrix is 12017756 x 12017933 (5241.6 MB) with weight 1508155381 (125.49/col)
  173. Sun Feb 23 02:10:37 2020 sparse part has weight 1241865469 (103.33/col)
  174. Sun Feb 23 02:10:37 2020 saving the first 48 matrix rows for later
  175. Sun Feb 23 02:10:39 2020 matrix includes 64 packed rows
  176. Sun Feb 23 02:10:41 2020 matrix is 12017708 x 12017933 (5025.8 MB) with weight 1282995833 (106.76/col)
  177. Sun Feb 23 02:10:41 2020 sparse part has weight 1197307961 (99.63/col)
  178. Sun Feb 23 02:10:41 2020 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  179. Sun Feb 23 02:11:17 2020 commencing Lanczos iteration
  180. Sun Feb 23 02:11:17 2020 memory use: 4843.3 MB
  181. Sun Feb 23 02:13:36 2020 lanczos halted after 17 iterations (dim = 1078)
  182. Sun Feb 23 02:13:36 2020 BLanczosTime: 2001
  183. Sun Feb 23 02:13:36 2020 elapsed time 00:33:22
  184.  
  185. Sun Feb 23 02:24:42 2020 Msieve v. 1.52 (SVN exported)
  186. Sun Feb 23 02:24:42 2020 random seeds: aae46e7d 68349037
  187. Sun Feb 23 02:24:42 2020 factoring 2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (247 digits)
  188. Sun Feb 23 02:24:45 2020 searching for 15-digit factors
  189. Sun Feb 23 02:24:48 2020 commencing number field sieve (247-digit input)
  190. Sun Feb 23 02:24:49 2020 R0: -100000000000000000000000000000000000000000
  191. Sun Feb 23 02:24:49 2020 R1: 1
  192. Sun Feb 23 02:24:49 2020 A0: -7
  193. Sun Feb 23 02:24:49 2020 A1: 0
  194. Sun Feb 23 02:24:49 2020 A2: 0
  195. Sun Feb 23 02:24:49 2020 A3: 0
  196. Sun Feb 23 02:24:49 2020 A4: 0
  197. Sun Feb 23 02:24:49 2020 A5: 0
  198. Sun Feb 23 02:24:49 2020 A6: 25
  199. Sun Feb 23 02:24:49 2020 skew 1.00, size 3.468e-12, alpha 0.442, combined = 2.929e-13 rroots = 2
  200. Sun Feb 23 02:24:49 2020
  201. Sun Feb 23 02:24:49 2020 commencing linear algebra
  202. Sun Feb 23 02:24:49 2020 skipping matrix build
  203. Sun Feb 23 02:26:37 2020 matrix starts at (0, 0)
  204. Sun Feb 23 02:31:49 2020 matrix is 12017756 x 12017933 (5241.6 MB) with weight 1508155381 (125.49/col)
  205. Sun Feb 23 02:31:49 2020 sparse part has weight 1241865469 (103.33/col)
  206. Sun Feb 23 02:31:49 2020 saving the first 48 matrix rows for later
  207. Sun Feb 23 02:32:08 2020 matrix includes 64 packed rows
  208. Sun Feb 23 02:36:27 2020 matrix is 12017708 x 12017933 (5025.8 MB) with weight 1282995833 (106.76/col)
  209. Sun Feb 23 02:36:27 2020 sparse part has weight 1197307961 (99.63/col)
  210. Sun Feb 23 02:36:58 2020 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
  211. Sun Feb 23 02:46:14 2020 commencing Lanczos iteration (4 threads)
  212. Sun Feb 23 02:46:14 2020 memory use: 4281.8 MB
  213. Sun Feb 23 02:49:34 2020 linear algebra at 0.0%, ETA 310h27m
  214. Sun Feb 23 02:50:21 2020 checkpointing every 40000 dimensions
  215. Thu Mar 5 19:52:46 2020 lanczos halted after 190048 iterations (dim = 12017708)
  216. Thu Mar 5 19:53:15 2020 recovered 35 nontrivial dependencies
  217. Thu Mar 5 19:53:19 2020 BLanczosTime: 1013310
  218. Thu Mar 5 19:53:19 2020 elapsed time 281:28:37
  219.  
  220. Thu Mar 5 19:57:59 2020
  221. Thu Mar 5 19:57:59 2020
  222. Thu Mar 5 19:57:59 2020 Msieve v. 1.54 (SVN 1025)
  223. Thu Mar 5 19:57:59 2020 random seeds: 494e29ea 59f6f3fc
  224. Thu Mar 5 19:57:59 2020 factoring 2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (247 digits)
  225. Thu Mar 5 19:58:00 2020 no P-1/P+1/ECM available, skipping
  226. Thu Mar 5 19:58:00 2020 commencing number field sieve (247-digit input)
  227. Thu Mar 5 19:58:00 2020 R0: -100000000000000000000000000000000000000000
  228. Thu Mar 5 19:58:00 2020 R1: 1
  229. Thu Mar 5 19:58:00 2020 A0: -7
  230. Thu Mar 5 19:58:00 2020 A1: 0
  231. Thu Mar 5 19:58:00 2020 A2: 0
  232. Thu Mar 5 19:58:00 2020 A3: 0
  233. Thu Mar 5 19:58:00 2020 A4: 0
  234. Thu Mar 5 19:58:00 2020 A5: 0
  235. Thu Mar 5 19:58:00 2020 A6: 25
  236. Thu Mar 5 19:58:00 2020 skew 1.00, size 3.468e-12, alpha 0.442, combined = 2.929e-13 rroots = 2
  237. Thu Mar 5 19:58:00 2020
  238. Thu Mar 5 19:58:00 2020 commencing square root phase
  239. Thu Mar 5 19:58:00 2020 reading relations for dependency 1
  240. Thu Mar 5 19:58:05 2020 read 6008185 cycles
  241. Thu Mar 5 19:58:19 2020 cycles contain 19938280 unique relations
  242. Thu Mar 5 20:04:51 2020 read 19938280 relations
  243. Thu Mar 5 20:06:46 2020 multiplying 19938280 relations
  244. Thu Mar 5 20:23:38 2020 multiply complete, coefficients have about 586.71 million bits
  245. Thu Mar 5 20:23:40 2020 initial square root is modulo 183637
  246. Thu Mar 5 20:41:20 2020 GCD is N, no factor found
  247. Thu Mar 5 20:41:20 2020 reading relations for dependency 2
  248. Thu Mar 5 20:41:24 2020 read 6008893 cycles
  249. Thu Mar 5 20:41:37 2020 cycles contain 19942344 unique relations
  250. Thu Mar 5 20:47:51 2020 read 19942344 relations
  251. Thu Mar 5 20:49:50 2020 multiplying 19942344 relations
  252. Thu Mar 5 21:07:52 2020 multiply complete, coefficients have about 586.83 million bits
  253. Thu Mar 5 21:07:55 2020 initial square root is modulo 184003
  254. Thu Mar 5 21:28:13 2020 GCD is N, no factor found
  255. Thu Mar 5 21:28:13 2020 reading relations for dependency 3
  256. Thu Mar 5 21:28:16 2020 read 6010892 cycles
  257. Thu Mar 5 21:28:32 2020 cycles contain 19941250 unique relations
  258. Thu Mar 5 21:34:55 2020 read 19941250 relations
  259. Thu Mar 5 21:36:52 2020 multiplying 19941250 relations
  260. Thu Mar 5 21:53:34 2020 multiply complete, coefficients have about 586.80 million bits
  261. Thu Mar 5 21:53:36 2020 initial square root is modulo 183943
  262. Thu Mar 5 22:15:23 2020 sqrtTime: 8243
  263. Thu Mar 5 22:15:23 2020 p78 factor: 592604788938303862720774902984502208861751153619497267531492667227020926201343
  264. Thu Mar 5 22:15:23 2020 p169 factor: 4687403526985288114608513592107319142740190323527045136517560558582810205297443518121375120767367187362183972398441124551009604608624841047009973497181034371002388157839
  265. Thu Mar 5 22:15:23 2020 elapsed time 02:17:24
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