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Msieve log of 10p9_263

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Jun 28th, 2019
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  1. Thu Jun 27 16:44:12 2019
  2. Thu Jun 27 16:44:12 2019
  3. Thu Jun 27 16:44:12 2019 Msieve v. 1.54 (SVN 1018)
  4. Thu Jun 27 16:44:12 2019 random seeds: 7a2716e0 6c38ca87
  5. Thu Jun 27 16:44:12 2019 factoring 79058582348920516775124371844788672593692077674670670662108430477991802978857414280462563935192697914634959768945722222226839158432230150483453360596660317 (155 digits)
  6. Thu Jun 27 16:44:14 2019 searching for 15-digit factors
  7. Thu Jun 27 16:44:15 2019 commencing number field sieve (155-digit input)
  8. Thu Jun 27 16:44:15 2019 R0: -2939891419574016805266534991790
  9. Thu Jun 27 16:44:15 2019 R1: 108602751009419809
  10. Thu Jun 27 16:44:15 2019 A0: -487467575958756453330766853028962117450337
  11. Thu Jun 27 16:44:15 2019 A1: -22285179880604514135547559962952533
  12. Thu Jun 27 16:44:15 2019 A2: 983024762747439333194055899
  13. Thu Jun 27 16:44:15 2019 A3: -3806923347582069931
  14. Thu Jun 27 16:44:15 2019 A4: -222859926258
  15. Thu Jun 27 16:44:15 2019 A5: 360
  16. Thu Jun 27 16:44:15 2019 skew 87119985.86, size 4.277e-015, alpha -8.914, combined = 2.633e-012 rroots = 3
  17. Thu Jun 27 16:44:15 2019
  18. Thu Jun 27 16:44:15 2019 commencing relation filtering
  19. Thu Jun 27 16:44:15 2019 setting target matrix density to 70.0
  20. Thu Jun 27 16:44:15 2019 estimated available RAM is 4043.9 MB
  21. Thu Jun 27 16:44:15 2019 commencing duplicate removal, pass 1
  22. Thu Jun 27 16:46:11 2019 error -1 reading relation 5161040
  23. Thu Jun 27 16:49:39 2019 error -1 reading relation 14337358
  24. Thu Jun 27 16:51:11 2019 error -9 reading relation 18348741
  25. Thu Jun 27 16:51:43 2019 error -15 reading relation 19753296
  26. Thu Jun 27 16:52:32 2019 error -15 reading relation 21906411
  27. Thu Jun 27 16:53:15 2019 error -9 reading relation 23811663
  28. Thu Jun 27 16:53:28 2019 error -15 reading relation 24376447
  29. Thu Jun 27 16:53:47 2019 error -15 reading relation 25198420
  30. Thu Jun 27 16:54:29 2019 error -9 reading relation 27026430
  31. Thu Jun 27 16:54:49 2019 error -5 reading relation 27898951
  32. Thu Jun 27 16:54:49 2019 error -1 reading relation 27898952
  33. Thu Jun 27 16:54:57 2019 error -9 reading relation 28299453
  34. Thu Jun 27 16:55:08 2019 error -15 reading relation 28757948
  35. Thu Jun 27 16:55:25 2019 error -9 reading relation 29501488
  36. Thu Jun 27 16:55:56 2019 error -15 reading relation 30893126
  37. Thu Jun 27 16:56:03 2019 error -9 reading relation 31192157
  38. Thu Jun 27 16:56:07 2019 error -1 reading relation 31362129
  39. Thu Jun 27 16:56:25 2019 error -15 reading relation 32160882
  40. Thu Jun 27 16:56:35 2019 error -15 reading relation 32597682
  41. Thu Jun 27 16:56:53 2019 error -15 reading relation 33373694
  42. Thu Jun 27 16:56:53 2019 error -15 reading relation 33376111
  43. Thu Jun 27 16:57:20 2019 error -15 reading relation 34579236
  44. Thu Jun 27 16:57:27 2019 error -15 reading relation 34895618
  45. Thu Jun 27 16:57:27 2019 error -15 reading relation 34899437
  46. Thu Jun 27 16:57:38 2019 error -9 reading relation 35366035
  47. Thu Jun 27 16:57:44 2019 error -15 reading relation 35625601
  48. Thu Jun 27 16:57:52 2019 error -1 reading relation 35951184
  49. Thu Jun 27 16:57:59 2019 error -9 reading relation 36302506
  50. Thu Jun 27 16:58:16 2019 error -9 reading relation 37043746
  51. Thu Jun 27 16:58:37 2019 error -15 reading relation 37968035
  52. Thu Jun 27 16:58:37 2019 error -1 reading relation 37970383
  53. Thu Jun 27 16:58:49 2019 error -9 reading relation 38500683
  54. Thu Jun 27 16:59:02 2019 error -15 reading relation 39062809
  55. Thu Jun 27 16:59:05 2019 error -9 reading relation 39210422
  56. Thu Jun 27 16:59:10 2019 error -15 reading relation 39393576
  57. Thu Jun 27 16:59:29 2019 error -5 reading relation 40253474
  58. Thu Jun 27 16:59:29 2019 error -9 reading relation 40263215
  59. Thu Jun 27 16:59:46 2019 error -9 reading relation 41008088
  60. Thu Jun 27 16:59:56 2019 error -15 reading relation 41519058
  61. Thu Jun 27 17:00:16 2019 error -15 reading relation 42381324
  62. Thu Jun 27 17:00:28 2019 error -1 reading relation 42959684
  63. Thu Jun 27 17:00:41 2019 error -9 reading relation 43516870
  64. Thu Jun 27 17:00:44 2019 error -9 reading relation 43661583
  65. Thu Jun 27 17:00:44 2019 error -5 reading relation 43662624
  66. Thu Jun 27 17:00:45 2019 error -15 reading relation 43692553
  67. Thu Jun 27 17:00:51 2019 error -1 reading relation 43958637
  68. Thu Jun 27 17:00:52 2019 error -15 reading relation 43973846
  69. Thu Jun 27 17:00:56 2019 error -9 reading relation 44178627
  70. Thu Jun 27 17:00:56 2019 error -15 reading relation 44180249
  71. Thu Jun 27 17:00:57 2019 error -1 reading relation 44233609
  72. Thu Jun 27 17:00:58 2019 error -1 reading relation 44250321
  73. Thu Jun 27 17:01:03 2019 error -15 reading relation 44501163
  74. Thu Jun 27 17:01:11 2019 error -9 reading relation 44827192
  75. Thu Jun 27 17:01:15 2019 error -9 reading relation 45004735
  76. Thu Jun 27 17:01:24 2019 error -15 reading relation 45390506
  77. Thu Jun 27 17:01:32 2019 error -9 reading relation 45738867
  78. Thu Jun 27 17:01:32 2019 error -15 reading relation 45739190
  79. Thu Jun 27 17:01:32 2019 error -15 reading relation 45753740
  80. Thu Jun 27 17:02:00 2019 error -1 reading relation 46982059
  81. Thu Jun 27 17:02:14 2019 error -1 reading relation 47608516
  82. Thu Jun 27 17:02:14 2019 error -9 reading relation 47623944
  83. Thu Jun 27 17:02:17 2019 error -15 reading relation 47762773
  84. Thu Jun 27 17:02:57 2019 error -9 reading relation 49513314
  85. Thu Jun 27 17:03:05 2019 error -1 reading relation 49871160
  86. Thu Jun 27 17:03:07 2019 error -9 reading relation 49943477
  87. Thu Jun 27 17:03:13 2019 error -15 reading relation 50225492
  88. Thu Jun 27 17:03:19 2019 error -1 reading relation 50474381
  89. Thu Jun 27 17:03:37 2019 error -9 reading relation 51298060
  90. Thu Jun 27 17:03:37 2019 error -9 reading relation 51308234
  91. Thu Jun 27 17:03:41 2019 error -15 reading relation 51470504
  92. Thu Jun 27 17:03:48 2019 error -9 reading relation 51766433
  93. Thu Jun 27 17:04:00 2019 error -15 reading relation 52298868
  94. Thu Jun 27 17:04:06 2019 error -15 reading relation 52570994
  95. Thu Jun 27 17:04:08 2019 error -15 reading relation 52646108
  96. Thu Jun 27 17:04:17 2019 error -9 reading relation 53046014
  97. Thu Jun 27 17:04:17 2019 error -15 reading relation 53061734
  98. Thu Jun 27 17:04:17 2019 error -1 reading relation 53062339
  99. Thu Jun 27 17:04:21 2019 error -15 reading relation 53224718
  100. Thu Jun 27 17:04:21 2019 error -15 reading relation 53241748
  101. Thu Jun 27 17:04:22 2019 error -9 reading relation 53259869
  102. Thu Jun 27 17:04:26 2019 error -1 reading relation 53464116
  103. Thu Jun 27 17:04:38 2019 error -15 reading relation 53970733
  104. Thu Jun 27 17:04:54 2019 error -5 reading relation 54700478
  105. Thu Jun 27 17:05:03 2019 error -9 reading relation 55097079
  106. Thu Jun 27 17:05:06 2019 error -15 reading relation 55188083
  107. Thu Jun 27 17:05:09 2019 error -15 reading relation 55318458
  108. Thu Jun 27 17:05:11 2019 error -1 reading relation 55443387
  109. Thu Jun 27 17:05:12 2019 error -15 reading relation 55449822
  110. Thu Jun 27 17:05:17 2019 error -15 reading relation 55701625
  111. Thu Jun 27 17:05:46 2019 error -15 reading relation 56978602
  112. Thu Jun 27 17:05:47 2019 error -15 reading relation 56997439
  113. Thu Jun 27 17:05:47 2019 error -9 reading relation 57000366
  114. Thu Jun 27 17:05:52 2019 error -15 reading relation 57229366
  115. Thu Jun 27 17:06:06 2019 error -9 reading relation 57813200
  116. Thu Jun 27 17:06:08 2019 error -9 reading relation 57931419
  117. Thu Jun 27 17:07:06 2019 error -9 reading relation 60423651
  118. Thu Jun 27 17:07:19 2019 error -9 reading relation 61004578
  119. Thu Jun 27 17:07:27 2019 error -9 reading relation 61357077
  120. Thu Jun 27 17:07:31 2019 error -15 reading relation 61518552
  121. Thu Jun 27 17:07:38 2019 error -15 reading relation 61842237
  122. Thu Jun 27 17:07:39 2019 error -15 reading relation 61856058
  123. Thu Jun 27 17:07:39 2019 error -15 reading relation 61865690
  124. Thu Jun 27 17:07:39 2019 error -15 reading relation 61865969
  125. Thu Jun 27 17:07:39 2019 error -1 reading relation 61873267
  126. Thu Jun 27 17:07:41 2019 error -15 reading relation 61938836
  127. Thu Jun 27 17:07:42 2019 error -1 reading relation 61995320
  128. Thu Jun 27 17:07:54 2019 error -1 reading relation 62549660
  129. Thu Jun 27 17:07:55 2019 error -5 reading relation 62572012
  130. Thu Jun 27 17:08:03 2019 error -9 reading relation 62919814
  131. Thu Jun 27 17:08:10 2019 error -9 reading relation 63259407
  132. Thu Jun 27 17:08:18 2019 error -15 reading relation 63589395
  133. Thu Jun 27 17:08:18 2019 error -1 reading relation 63590067
  134. Thu Jun 27 17:08:21 2019 error -9 reading relation 63700197
  135. Thu Jun 27 17:08:24 2019 error -1 reading relation 63859529
  136. Thu Jun 27 17:08:25 2019 error -15 reading relation 63886802
  137. Thu Jun 27 17:08:27 2019 error -15 reading relation 63981037
  138. Thu Jun 27 17:08:29 2019 error -9 reading relation 64057135
  139. Thu Jun 27 17:08:29 2019 skipped 60 relations with composite factors
  140. Thu Jun 27 17:08:29 2019 found 11728539 hash collisions in 64064807 relations
  141. Thu Jun 27 17:09:47 2019 added 122191 free relations
  142. Thu Jun 27 17:09:48 2019 commencing duplicate removal, pass 2
  143. Thu Jun 27 17:11:53 2019 found 11900260 duplicates and 52286738 unique relations
  144. Thu Jun 27 17:11:53 2019 memory use: 394.4 MB
  145. Thu Jun 27 17:11:53 2019 reading ideals above 59834368
  146. Thu Jun 27 17:11:53 2019 commencing singleton removal, initial pass
  147. Thu Jun 27 17:28:22 2019 memory use: 753.0 MB
  148. Thu Jun 27 17:28:22 2019 reading all ideals from disk
  149. Thu Jun 27 17:28:55 2019 memory use: 822.1 MB
  150. Thu Jun 27 17:28:59 2019 commencing in-memory singleton removal
  151. Thu Jun 27 17:29:02 2019 begin with 52286738 relations and 40511826 unique ideals
  152. Thu Jun 27 17:29:40 2019 reduce to 34972123 relations and 21533751 ideals in 11 passes
  153. Thu Jun 27 17:29:40 2019 max relations containing the same ideal: 38
  154. Thu Jun 27 17:29:45 2019 reading ideals above 720000
  155. Thu Jun 27 17:29:46 2019 commencing singleton removal, initial pass
  156. Thu Jun 27 17:43:43 2019 memory use: 753.0 MB
  157. Thu Jun 27 17:43:44 2019 reading all ideals from disk
  158. Thu Jun 27 17:44:28 2019 memory use: 1251.6 MB
  159. Thu Jun 27 17:44:35 2019 keeping 28444175 ideals with weight <= 200, target excess is 188642
  160. Thu Jun 27 17:44:44 2019 commencing in-memory singleton removal
  161. Thu Jun 27 17:44:50 2019 begin with 34972128 relations and 28444175 unique ideals
  162. Thu Jun 27 17:46:07 2019 reduce to 34904410 relations and 28376420 ideals in 9 passes
  163. Thu Jun 27 17:46:07 2019 max relations containing the same ideal: 200
  164. Thu Jun 27 17:46:40 2019 removing 4453444 relations and 3453444 ideals in 1000000 cliques
  165. Thu Jun 27 17:46:43 2019 commencing in-memory singleton removal
  166. Thu Jun 27 17:46:48 2019 begin with 30450966 relations and 28376420 unique ideals
  167. Thu Jun 27 17:47:48 2019 reduce to 30019482 relations and 24476745 ideals in 8 passes
  168. Thu Jun 27 17:47:48 2019 max relations containing the same ideal: 190
  169. Thu Jun 27 17:48:16 2019 removing 3506935 relations and 2506935 ideals in 1000000 cliques
  170. Thu Jun 27 17:48:19 2019 commencing in-memory singleton removal
  171. Thu Jun 27 17:48:23 2019 begin with 26512547 relations and 24476745 unique ideals
  172. Thu Jun 27 17:49:14 2019 reduce to 26207208 relations and 21654562 ideals in 8 passes
  173. Thu Jun 27 17:49:14 2019 max relations containing the same ideal: 174
  174. Thu Jun 27 17:49:39 2019 removing 3247196 relations and 2247196 ideals in 1000000 cliques
  175. Thu Jun 27 17:49:41 2019 commencing in-memory singleton removal
  176. Thu Jun 27 17:49:45 2019 begin with 22960012 relations and 21654562 unique ideals
  177. Thu Jun 27 17:50:17 2019 reduce to 22678490 relations and 19116115 ideals in 6 passes
  178. Thu Jun 27 17:50:17 2019 max relations containing the same ideal: 161
  179. Thu Jun 27 17:50:39 2019 removing 3117366 relations and 2117366 ideals in 1000000 cliques
  180. Thu Jun 27 17:50:41 2019 commencing in-memory singleton removal
  181. Thu Jun 27 17:50:44 2019 begin with 19561124 relations and 19116115 unique ideals
  182. Thu Jun 27 17:51:15 2019 reduce to 19278950 relations and 16705715 ideals in 7 passes
  183. Thu Jun 27 17:51:15 2019 max relations containing the same ideal: 145
  184. Thu Jun 27 17:51:34 2019 removing 3038128 relations and 2038128 ideals in 1000000 cliques
  185. Thu Jun 27 17:51:36 2019 commencing in-memory singleton removal
  186. Thu Jun 27 17:51:38 2019 begin with 16240822 relations and 16705715 unique ideals
  187. Thu Jun 27 17:52:08 2019 reduce to 15941389 relations and 14354894 ideals in 8 passes
  188. Thu Jun 27 17:52:08 2019 max relations containing the same ideal: 124
  189. Thu Jun 27 17:52:23 2019 removing 2975127 relations and 1975127 ideals in 1000000 cliques
  190. Thu Jun 27 17:52:25 2019 commencing in-memory singleton removal
  191. Thu Jun 27 17:52:27 2019 begin with 12966262 relations and 14354894 unique ideals
  192. Thu Jun 27 17:52:50 2019 reduce to 12630498 relations and 12026363 ideals in 8 passes
  193. Thu Jun 27 17:52:50 2019 max relations containing the same ideal: 106
  194. Thu Jun 27 17:53:02 2019 removing 1365352 relations and 980042 ideals in 385310 cliques
  195. Thu Jun 27 17:53:03 2019 commencing in-memory singleton removal
  196. Thu Jun 27 17:53:05 2019 begin with 11265146 relations and 12026363 unique ideals
  197. Thu Jun 27 17:53:20 2019 reduce to 11171020 relations and 10949691 ideals in 6 passes
  198. Thu Jun 27 17:53:20 2019 max relations containing the same ideal: 97
  199. Thu Jun 27 17:53:34 2019 relations with 0 large ideals: 664
  200. Thu Jun 27 17:53:34 2019 relations with 1 large ideals: 1167
  201. Thu Jun 27 17:53:34 2019 relations with 2 large ideals: 18978
  202. Thu Jun 27 17:53:34 2019 relations with 3 large ideals: 157934
  203. Thu Jun 27 17:53:34 2019 relations with 4 large ideals: 693777
  204. Thu Jun 27 17:53:34 2019 relations with 5 large ideals: 1800092
  205. Thu Jun 27 17:53:34 2019 relations with 6 large ideals: 2907681
  206. Thu Jun 27 17:53:34 2019 relations with 7+ large ideals: 5590727
  207. Thu Jun 27 17:53:34 2019 commencing 2-way merge
  208. Thu Jun 27 17:53:49 2019 reduce to 7602330 relation sets and 7381001 unique ideals
  209. Thu Jun 27 17:53:49 2019 commencing full merge
  210. Thu Jun 27 17:57:42 2019 memory use: 884.6 MB
  211. Thu Jun 27 17:57:44 2019 found 4133605 cycles, need 4101201
  212. Thu Jun 27 17:57:45 2019 weight of 4101201 cycles is about 287352119 (70.07/cycle)
  213. Thu Jun 27 17:57:45 2019 distribution of cycle lengths:
  214. Thu Jun 27 17:57:45 2019 1 relations: 366479
  215. Thu Jun 27 17:57:45 2019 2 relations: 505396
  216. Thu Jun 27 17:57:45 2019 3 relations: 551076
  217. Thu Jun 27 17:57:45 2019 4 relations: 534092
  218. Thu Jun 27 17:57:45 2019 5 relations: 501096
  219. Thu Jun 27 17:57:45 2019 6 relations: 433206
  220. Thu Jun 27 17:57:45 2019 7 relations: 357105
  221. Thu Jun 27 17:57:45 2019 8 relations: 275565
  222. Thu Jun 27 17:57:45 2019 9 relations: 200457
  223. Thu Jun 27 17:57:45 2019 10+ relations: 376729
  224. Thu Jun 27 17:57:45 2019 heaviest cycle: 18 relations
  225. Thu Jun 27 17:57:46 2019 commencing cycle optimization
  226. Thu Jun 27 17:57:56 2019 start with 21053059 relations
  227. Thu Jun 27 17:59:06 2019 pruned 619465 relations
  228. Thu Jun 27 17:59:06 2019 memory use: 685.1 MB
  229. Thu Jun 27 17:59:06 2019 distribution of cycle lengths:
  230. Thu Jun 27 17:59:06 2019 1 relations: 366479
  231. Thu Jun 27 17:59:06 2019 2 relations: 517766
  232. Thu Jun 27 17:59:06 2019 3 relations: 574724
  233. Thu Jun 27 17:59:06 2019 4 relations: 552501
  234. Thu Jun 27 17:59:06 2019 5 relations: 518524
  235. Thu Jun 27 17:59:06 2019 6 relations: 441923
  236. Thu Jun 27 17:59:06 2019 7 relations: 359138
  237. Thu Jun 27 17:59:06 2019 8 relations: 269154
  238. Thu Jun 27 17:59:06 2019 9 relations: 189848
  239. Thu Jun 27 17:59:06 2019 10+ relations: 311144
  240. Thu Jun 27 17:59:06 2019 heaviest cycle: 17 relations
  241. Thu Jun 27 17:59:15 2019 RelProcTime: 4500
  242. Thu Jun 27 17:59:15 2019
  243. Thu Jun 27 17:59:15 2019 commencing linear algebra
  244. Thu Jun 27 17:59:17 2019 read 4101201 cycles
  245. Thu Jun 27 17:59:29 2019 cycles contain 11044609 unique relations
  246. Thu Jun 27 18:03:13 2019 read 11044609 relations
  247. Thu Jun 27 18:03:42 2019 using 20 quadratic characters above 4294917295
  248. Thu Jun 27 18:05:00 2019 building initial matrix
  249. Thu Jun 27 18:07:28 2019 memory use: 1530.8 MB
  250. Thu Jun 27 18:08:16 2019 read 4101201 cycles
  251. Thu Jun 27 18:08:17 2019 matrix is 4101022 x 4101201 (1241.4 MB) with weight 389410034 (94.95/col)
  252. Thu Jun 27 18:08:17 2019 sparse part has weight 276219171 (67.35/col)
  253. Thu Jun 27 18:09:01 2019 filtering completed in 2 passes
  254. Thu Jun 27 18:09:02 2019 matrix is 4100640 x 4100819 (1241.4 MB) with weight 389397019 (94.96/col)
  255. Thu Jun 27 18:09:02 2019 sparse part has weight 276216056 (67.36/col)
  256. Thu Jun 27 18:09:37 2019 matrix starts at (0, 0)
  257. Thu Jun 27 18:09:38 2019 matrix is 4100640 x 4100819 (1241.4 MB) with weight 389397019 (94.96/col)
  258. Thu Jun 27 18:09:38 2019 sparse part has weight 276216056 (67.36/col)
  259. Thu Jun 27 18:09:38 2019 saving the first 48 matrix rows for later
  260. Thu Jun 27 18:09:39 2019 matrix includes 64 packed rows
  261. Thu Jun 27 18:09:40 2019 matrix is 4100592 x 4100819 (1198.3 MB) with weight 313363736 (76.41/col)
  262. Thu Jun 27 18:09:40 2019 sparse part has weight 273110830 (66.60/col)
  263. Thu Jun 27 18:09:41 2019 using block size 8192 and superblock size 294912 for processor cache size 3072 kB
  264. Thu Jun 27 18:10:08 2019 commencing Lanczos iteration (2 threads)
  265. Thu Jun 27 18:10:09 2019 memory use: 957.4 MB
  266. Thu Jun 27 18:10:41 2019 linear algebra at 0.0%, ETA 23h21m
  267. Thu Jun 27 18:10:52 2019 checkpointing every 180000 dimensions
  268. Fri Jun 28 16:12:33 2019 lanczos halted after 64852 iterations (dim = 4100592)
  269. Fri Jun 28 16:12:44 2019 recovered 30 nontrivial dependencies
  270. Fri Jun 28 16:12:48 2019 BLanczosTime: 80013
  271. Fri Jun 28 16:12:48 2019
  272. Fri Jun 28 16:12:48 2019 commencing square root phase
  273. Fri Jun 28 16:12:48 2019 handling dependencies 1 to 64
  274. Fri Jun 28 16:12:48 2019 reading relations for dependency 1
  275. Fri Jun 28 16:12:50 2019 read 2050495 cycles
  276. Fri Jun 28 16:12:53 2019 cycles contain 5525618 unique relations
  277. Fri Jun 28 16:14:50 2019 read 5525618 relations
  278. Fri Jun 28 16:15:26 2019 multiplying 5525618 relations
  279. Fri Jun 28 16:23:05 2019 multiply complete, coefficients have about 266.27 million bits
  280. Fri Jun 28 16:23:08 2019 initial square root is modulo 59981
  281. Fri Jun 28 16:32:07 2019 sqrtTime: 1159
  282. Fri Jun 28 16:32:07 2019 p75 factor: 866648130990907026602460868640278341744990661866072865880553915041401854451
  283. Fri Jun 28 16:32:07 2019 p80 factor: 91223392195546093727849684001010192222539538505027457458979422084992687926317167
  284. Fri Jun 28 16:32:07 2019 elapsed time 23:47:55
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