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13121_53m1

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Sep 1st, 2020
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  1. Tue Sep 01 17:42:16 2020
  2. Tue Sep 01 17:42:16 2020
  3. Tue Sep 01 17:42:16 2020 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Sep 01 17:42:16 2020 random seeds: 8f6444d4 0893105d
  5. Tue Sep 01 17:42:16 2020 factoring 11769150012108927088278490896865575618096589079656049330120326356071604175471174720735318607517291345236310527068092366377574314842163324649314199863702439697301686973268133988037629770097153094702825100200719 (209 digits)
  6. Tue Sep 01 17:42:17 2020 searching for 15-digit factors
  7. Tue Sep 01 17:42:17 2020 commencing number field sieve (209-digit input)
  8. Tue Sep 01 17:42:17 2020 R0: 11526631770644020958165224897679068481
  9. Tue Sep 01 17:42:17 2020 R1: -1
  10. Tue Sep 01 17:42:17 2020 A0: -13121
  11. Tue Sep 01 17:42:17 2020 A1: 0
  12. Tue Sep 01 17:42:17 2020 A2: 0
  13. Tue Sep 01 17:42:17 2020 A3: 0
  14. Tue Sep 01 17:42:17 2020 A4: 0
  15. Tue Sep 01 17:42:17 2020 A5: 0
  16. Tue Sep 01 17:42:17 2020 A6: 1
  17. Tue Sep 01 17:42:17 2020 skew 4.86, size 4.223e-011, alpha -0.500, combined = 1.816e-012 rroots = 2
  18. Tue Sep 01 17:42:17 2020
  19. Tue Sep 01 17:42:17 2020 commencing relation filtering
  20. Tue Sep 01 17:42:17 2020 setting target matrix density to 110.0
  21. Tue Sep 01 17:42:17 2020 estimated available RAM is 32685.6 MB
  22. Tue Sep 01 17:42:17 2020 commencing duplicate removal, pass 1
  23. Tue Sep 01 17:42:21 2020 error -9 reading relation 588367
  24. Tue Sep 01 17:43:18 2020 error -9 reading relation 10004776
  25. Tue Sep 01 17:43:19 2020 error -9 reading relation 10155725
  26. Tue Sep 01 17:43:28 2020 error -9 reading relation 11511300
  27. Tue Sep 01 17:43:58 2020 error -9 reading relation 16386761
  28. Tue Sep 01 17:44:31 2020 error -9 reading relation 21873947
  29. Tue Sep 01 17:44:43 2020 error -9 reading relation 23703052
  30. Tue Sep 01 17:44:45 2020 error -1 reading relation 24149584
  31. Tue Sep 01 17:44:56 2020 error -15 reading relation 25937180
  32. Tue Sep 01 17:45:30 2020 error -9 reading relation 31454083
  33. Tue Sep 01 17:45:41 2020 error -9 reading relation 33334523
  34. Tue Sep 01 17:45:42 2020 error -1 reading relation 33348072
  35. Tue Sep 01 17:45:42 2020 error -9 reading relation 33360963
  36. Tue Sep 01 17:45:49 2020 error -5 reading relation 34521021
  37. Tue Sep 01 17:45:50 2020 error -15 reading relation 34710666
  38. Tue Sep 01 17:46:00 2020 error -15 reading relation 36329952
  39. Tue Sep 01 17:46:02 2020 error -9 reading relation 36712900
  40. Tue Sep 01 17:46:06 2020 error -9 reading relation 37405221
  41. Tue Sep 01 17:46:16 2020 error -9 reading relation 39019715
  42. Tue Sep 01 17:46:17 2020 error -15 reading relation 39111334
  43. Tue Sep 01 17:46:33 2020 error -5 reading relation 41724232
  44. Tue Sep 01 17:46:48 2020 error -15 reading relation 44218910
  45. Tue Sep 01 17:46:50 2020 error -9 reading relation 44507410
  46. Tue Sep 01 17:46:57 2020 error -9 reading relation 45526692
  47. Tue Sep 01 17:46:58 2020 error -9 reading relation 45680823
  48. Tue Sep 01 17:46:59 2020 error -9 reading relation 45830257
  49. Tue Sep 01 17:47:14 2020 error -15 reading relation 48307344
  50. Tue Sep 01 17:47:17 2020 error -9 reading relation 48817167
  51. Tue Sep 01 17:47:17 2020 error -1 reading relation 48856193
  52. Tue Sep 01 17:47:29 2020 error -15 reading relation 50809929
  53. Tue Sep 01 17:47:34 2020 error -9 reading relation 51525250
  54. Tue Sep 01 17:47:35 2020 error -15 reading relation 51803483
  55. Tue Sep 01 17:47:38 2020 error -9 reading relation 52285008
  56. Tue Sep 01 17:47:43 2020 error -9 reading relation 53117144
  57. Tue Sep 01 17:47:48 2020 error -5 reading relation 53820823
  58. Tue Sep 01 17:47:49 2020 error -9 reading relation 53966102
  59. Tue Sep 01 17:47:51 2020 error -9 reading relation 54399870
  60. Tue Sep 01 17:47:58 2020 error -9 reading relation 55476338
  61. Tue Sep 01 17:48:04 2020 error -9 reading relation 56523786
  62. Tue Sep 01 17:48:04 2020 error -5 reading relation 56541746
  63. Tue Sep 01 17:48:06 2020 error -9 reading relation 56788919
  64. Tue Sep 01 17:48:09 2020 error -1 reading relation 57288841
  65. Tue Sep 01 17:48:09 2020 error -1 reading relation 57313102
  66. Tue Sep 01 17:48:15 2020 error -15 reading relation 58311369
  67. Tue Sep 01 17:48:16 2020 error -9 reading relation 58476918
  68. Tue Sep 01 17:48:16 2020 error -9 reading relation 58484929
  69. Tue Sep 01 17:48:21 2020 error -15 reading relation 59184951
  70. Tue Sep 01 17:48:24 2020 error -9 reading relation 59768007
  71. Tue Sep 01 17:48:25 2020 error -15 reading relation 59856830
  72. Tue Sep 01 17:48:25 2020 error -9 reading relation 59877613
  73. Tue Sep 01 17:48:25 2020 error -15 reading relation 59936126
  74. Tue Sep 01 17:48:26 2020 error -9 reading relation 60088731
  75. Tue Sep 01 17:48:40 2020 skipped 26 relations with composite factors
  76. Tue Sep 01 17:48:40 2020 found 12081271 hash collisions in 61410910 relations
  77. Tue Sep 01 17:48:48 2020 commencing duplicate removal, pass 2
  78. Tue Sep 01 17:49:42 2020 found 11771091 duplicates and 49639819 unique relations
  79. Tue Sep 01 17:49:42 2020 memory use: 330.4 MB
  80. Tue Sep 01 17:49:42 2020 reading ideals above 720000
  81. Tue Sep 01 17:49:42 2020 commencing singleton removal, initial pass
  82. Tue Sep 01 17:54:47 2020 memory use: 1378.0 MB
  83. Tue Sep 01 17:54:47 2020 reading all ideals from disk
  84. Tue Sep 01 17:54:47 2020 memory use: 1805.2 MB
  85. Tue Sep 01 17:54:50 2020 keeping 47747149 ideals with weight <= 200, target excess is 250727
  86. Tue Sep 01 17:54:53 2020 commencing in-memory singleton removal
  87. Tue Sep 01 17:54:55 2020 begin with 49639819 relations and 47747149 unique ideals
  88. Tue Sep 01 17:55:18 2020 reduce to 32246955 relations and 28626337 ideals in 14 passes
  89. Tue Sep 01 17:55:18 2020 max relations containing the same ideal: 157
  90. Tue Sep 01 17:55:28 2020 removing 2609575 relations and 2209575 ideals in 400000 cliques
  91. Tue Sep 01 17:55:28 2020 commencing in-memory singleton removal
  92. Tue Sep 01 17:55:30 2020 begin with 29637380 relations and 28626337 unique ideals
  93. Tue Sep 01 17:55:41 2020 reduce to 29420529 relations and 26195956 ideals in 8 passes
  94. Tue Sep 01 17:55:41 2020 max relations containing the same ideal: 149
  95. Tue Sep 01 17:55:49 2020 removing 2008049 relations and 1608049 ideals in 400000 cliques
  96. Tue Sep 01 17:55:50 2020 commencing in-memory singleton removal
  97. Tue Sep 01 17:55:51 2020 begin with 27412480 relations and 26195956 unique ideals
  98. Tue Sep 01 17:56:01 2020 reduce to 27280532 relations and 24453894 ideals in 8 passes
  99. Tue Sep 01 17:56:01 2020 max relations containing the same ideal: 141
  100. Tue Sep 01 17:56:09 2020 removing 1824670 relations and 1424670 ideals in 400000 cliques
  101. Tue Sep 01 17:56:10 2020 commencing in-memory singleton removal
  102. Tue Sep 01 17:56:11 2020 begin with 25455862 relations and 24453894 unique ideals
  103. Tue Sep 01 17:56:19 2020 reduce to 25342096 relations and 22913773 ideals in 7 passes
  104. Tue Sep 01 17:56:19 2020 max relations containing the same ideal: 132
  105. Tue Sep 01 17:56:27 2020 removing 1736112 relations and 1336112 ideals in 400000 cliques
  106. Tue Sep 01 17:56:27 2020 commencing in-memory singleton removal
  107. Tue Sep 01 17:56:28 2020 begin with 23605984 relations and 22913773 unique ideals
  108. Tue Sep 01 17:56:38 2020 reduce to 23496996 relations and 21467070 ideals in 9 passes
  109. Tue Sep 01 17:56:38 2020 max relations containing the same ideal: 127
  110. Tue Sep 01 17:56:45 2020 removing 1686325 relations and 1286325 ideals in 400000 cliques
  111. Tue Sep 01 17:56:45 2020 commencing in-memory singleton removal
  112. Tue Sep 01 17:56:46 2020 begin with 21810671 relations and 21467070 unique ideals
  113. Tue Sep 01 17:56:54 2020 reduce to 21701940 relations and 20070266 ideals in 8 passes
  114. Tue Sep 01 17:56:54 2020 max relations containing the same ideal: 123
  115. Tue Sep 01 17:57:01 2020 removing 1656386 relations and 1256386 ideals in 400000 cliques
  116. Tue Sep 01 17:57:01 2020 commencing in-memory singleton removal
  117. Tue Sep 01 17:57:02 2020 begin with 20045554 relations and 20070266 unique ideals
  118. Tue Sep 01 17:57:08 2020 reduce to 19933801 relations and 18700305 ideals in 7 passes
  119. Tue Sep 01 17:57:08 2020 max relations containing the same ideal: 113
  120. Tue Sep 01 17:57:14 2020 removing 1643853 relations and 1243853 ideals in 400000 cliques
  121. Tue Sep 01 17:57:14 2020 commencing in-memory singleton removal
  122. Tue Sep 01 17:57:15 2020 begin with 18289948 relations and 18700305 unique ideals
  123. Tue Sep 01 17:57:22 2020 reduce to 18170731 relations and 17335094 ideals in 8 passes
  124. Tue Sep 01 17:57:22 2020 max relations containing the same ideal: 106
  125. Tue Sep 01 17:57:27 2020 removing 1642541 relations and 1242541 ideals in 400000 cliques
  126. Tue Sep 01 17:57:27 2020 commencing in-memory singleton removal
  127. Tue Sep 01 17:57:28 2020 begin with 16528190 relations and 17335094 unique ideals
  128. Tue Sep 01 17:57:34 2020 reduce to 16398071 relations and 15959943 ideals in 8 passes
  129. Tue Sep 01 17:57:34 2020 max relations containing the same ideal: 100
  130. Tue Sep 01 17:57:39 2020 removing 744130 relations and 596846 ideals in 147284 cliques
  131. Tue Sep 01 17:57:39 2020 commencing in-memory singleton removal
  132. Tue Sep 01 17:57:40 2020 begin with 15653941 relations and 15959943 unique ideals
  133. Tue Sep 01 17:57:44 2020 reduce to 15627038 relations and 15335969 ideals in 7 passes
  134. Tue Sep 01 17:57:44 2020 max relations containing the same ideal: 94
  135. Tue Sep 01 17:57:51 2020 relations with 0 large ideals: 9534
  136. Tue Sep 01 17:57:51 2020 relations with 1 large ideals: 2332
  137. Tue Sep 01 17:57:51 2020 relations with 2 large ideals: 32630
  138. Tue Sep 01 17:57:51 2020 relations with 3 large ideals: 247068
  139. Tue Sep 01 17:57:51 2020 relations with 4 large ideals: 1030164
  140. Tue Sep 01 17:57:51 2020 relations with 5 large ideals: 2575274
  141. Tue Sep 01 17:57:51 2020 relations with 6 large ideals: 4022959
  142. Tue Sep 01 17:57:51 2020 relations with 7+ large ideals: 7707077
  143. Tue Sep 01 17:57:51 2020 commencing 2-way merge
  144. Tue Sep 01 17:57:58 2020 reduce to 10207227 relation sets and 9916158 unique ideals
  145. Tue Sep 01 17:57:58 2020 commencing full merge
  146. Tue Sep 01 18:00:55 2020 memory use: 1290.5 MB
  147. Tue Sep 01 18:00:56 2020 found 4544468 cycles, need 4538358
  148. Tue Sep 01 18:00:56 2020 weight of 4538358 cycles is about 499843655 (110.14/cycle)
  149. Tue Sep 01 18:00:56 2020 distribution of cycle lengths:
  150. Tue Sep 01 18:00:56 2020 1 relations: 314321
  151. Tue Sep 01 18:00:56 2020 2 relations: 339556
  152. Tue Sep 01 18:00:56 2020 3 relations: 353262
  153. Tue Sep 01 18:00:56 2020 4 relations: 341837
  154. Tue Sep 01 18:00:56 2020 5 relations: 332033
  155. Tue Sep 01 18:00:56 2020 6 relations: 316240
  156. Tue Sep 01 18:00:56 2020 7 relations: 299552
  157. Tue Sep 01 18:00:56 2020 8 relations: 280193
  158. Tue Sep 01 18:00:56 2020 9 relations: 261240
  159. Tue Sep 01 18:00:56 2020 10+ relations: 1700124
  160. Tue Sep 01 18:00:56 2020 heaviest cycle: 28 relations
  161. Tue Sep 01 18:00:58 2020 commencing cycle optimization
  162. Tue Sep 01 18:01:04 2020 start with 38595496 relations
  163. Tue Sep 01 18:02:17 2020 pruned 1644004 relations
  164. Tue Sep 01 18:02:17 2020 memory use: 1040.2 MB
  165. Tue Sep 01 18:02:17 2020 distribution of cycle lengths:
  166. Tue Sep 01 18:02:17 2020 1 relations: 314321
  167. Tue Sep 01 18:02:17 2020 2 relations: 347668
  168. Tue Sep 01 18:02:17 2020 3 relations: 367712
  169. Tue Sep 01 18:02:17 2020 4 relations: 354885
  170. Tue Sep 01 18:02:17 2020 5 relations: 347173
  171. Tue Sep 01 18:02:17 2020 6 relations: 328942
  172. Tue Sep 01 18:02:17 2020 7 relations: 312604
  173. Tue Sep 01 18:02:17 2020 8 relations: 290359
  174. Tue Sep 01 18:02:17 2020 9 relations: 270611
  175. Tue Sep 01 18:02:17 2020 10+ relations: 1604083
  176. Tue Sep 01 18:02:17 2020 heaviest cycle: 28 relations
  177. Tue Sep 01 18:02:21 2020 RelProcTime: 1204
  178. Tue Sep 01 18:02:21 2020
  179. Tue Sep 01 18:02:21 2020 commencing linear algebra
  180. Tue Sep 01 18:02:22 2020 read 4538358 cycles
  181. Tue Sep 01 18:02:28 2020 cycles contain 15453449 unique relations
  182. Tue Sep 01 18:03:59 2020 read 15453449 relations
  183. Tue Sep 01 18:04:22 2020 using 20 quadratic characters above 4294917295
  184. Tue Sep 01 18:05:05 2020 building initial matrix
  185. Tue Sep 01 18:07:14 2020 memory use: 1927.9 MB
  186. Tue Sep 01 18:07:16 2020 read 4538358 cycles
  187. Tue Sep 01 18:07:17 2020 matrix is 4538181 x 4538358 (1970.9 MB) with weight 576323237 (126.99/col)
  188. Tue Sep 01 18:07:17 2020 sparse part has weight 466731357 (102.84/col)
  189. Tue Sep 01 18:07:47 2020 filtering completed in 2 passes
  190. Tue Sep 01 18:07:47 2020 matrix is 4538096 x 4538267 (1970.9 MB) with weight 576319665 (126.99/col)
  191. Tue Sep 01 18:07:47 2020 sparse part has weight 466730063 (102.84/col)
  192. Tue Sep 01 18:07:55 2020 matrix starts at (0, 0)
  193. Tue Sep 01 18:07:55 2020 matrix is 4538096 x 4538267 (1970.9 MB) with weight 576319665 (126.99/col)
  194. Tue Sep 01 18:07:55 2020 sparse part has weight 466730063 (102.84/col)
  195. Tue Sep 01 18:07:55 2020 saving the first 240 matrix rows for later
  196. Tue Sep 01 18:07:57 2020 matrix includes 256 packed rows
  197. Tue Sep 01 18:07:58 2020 matrix is 4537856 x 4538267 (1791.5 MB) with weight 421353433 (92.84/col)
  198. Tue Sep 01 18:07:58 2020 sparse part has weight 397010594 (87.48/col)
  199. Tue Sep 01 18:07:58 2020 using block size 8192 and superblock size 1572864 for processor cache size 65536 kB
  200. Tue Sep 01 18:08:09 2020 commencing Lanczos iteration (24 threads)
  201. Tue Sep 01 18:08:09 2020 memory use: 2516.7 MB
  202. Tue Sep 01 18:08:15 2020 linear algebra at 0.0%, ETA 4h 6m
  203. Tue Sep 01 18:08:16 2020 checkpointing every 1230000 dimensions
  204. Wed Sep 02 07:21:10 2020
  205. Wed Sep 02 07:21:10 2020
  206. Wed Sep 02 07:21:10 2020 Msieve v. 1.54 (SVN Unversioned directory)
  207. Wed Sep 02 07:21:10 2020 random seeds: be3e2b80 fc197065
  208. Wed Sep 02 07:21:10 2020 factoring 11769150012108927088278490896865575618096589079656049330120326356071604175471174720735318607517291345236310527068092366377574314842163324649314199863702439697301686973268133988037629770097153094702825100200719 (209 digits)
  209. Wed Sep 02 07:21:10 2020 searching for 15-digit factors
  210. Wed Sep 02 07:21:11 2020 commencing number field sieve (209-digit input)
  211. Wed Sep 02 07:21:11 2020 R0: 11526631770644020958165224897679068481
  212. Wed Sep 02 07:21:11 2020 R1: -1
  213. Wed Sep 02 07:21:11 2020 A0: -13121
  214. Wed Sep 02 07:21:11 2020 A1: 0
  215. Wed Sep 02 07:21:11 2020 A2: 0
  216. Wed Sep 02 07:21:11 2020 A3: 0
  217. Wed Sep 02 07:21:11 2020 A4: 0
  218. Wed Sep 02 07:21:11 2020 A5: 0
  219. Wed Sep 02 07:21:11 2020 A6: 1
  220. Wed Sep 02 07:21:11 2020 skew 4.86, size 4.223e-011, alpha -0.500, combined = 1.816e-012 rroots = 2
  221. Wed Sep 02 07:21:11 2020
  222. Wed Sep 02 07:21:11 2020 commencing linear algebra
  223. Wed Sep 02 07:21:11 2020 error: cannot open matrix file
  224. Wed Sep 02 07:24:40 2020
  225. Wed Sep 02 07:24:40 2020
  226. Wed Sep 02 07:24:40 2020 Msieve v. 1.54 (SVN Unversioned directory)
  227. Wed Sep 02 07:24:40 2020 random seeds: 5e24ef78 3b33a3e3
  228. Wed Sep 02 07:24:40 2020 factoring 11769150012108927088278490896865575618096589079656049330120326356071604175471174720735318607517291345236310527068092366377574314842163324649314199863702439697301686973268133988037629770097153094702825100200719 (209 digits)
  229. Wed Sep 02 07:24:41 2020 searching for 15-digit factors
  230. Wed Sep 02 07:24:41 2020 commencing number field sieve (209-digit input)
  231. Wed Sep 02 07:24:41 2020 R0: 11526631770644020958165224897679068481
  232. Wed Sep 02 07:24:41 2020 R1: -1
  233. Wed Sep 02 07:24:41 2020 A0: -13121
  234. Wed Sep 02 07:24:41 2020 A1: 0
  235. Wed Sep 02 07:24:41 2020 A2: 0
  236. Wed Sep 02 07:24:41 2020 A3: 0
  237. Wed Sep 02 07:24:41 2020 A4: 0
  238. Wed Sep 02 07:24:41 2020 A5: 0
  239. Wed Sep 02 07:24:41 2020 A6: 1
  240. Wed Sep 02 07:24:41 2020 skew 4.86, size 4.223e-011, alpha -0.500, combined = 1.816e-012 rroots = 2
  241. Wed Sep 02 07:24:41 2020
  242. Wed Sep 02 07:24:41 2020 commencing linear algebra
  243. Wed Sep 02 07:24:42 2020 matrix starts at (0, 0)
  244. Wed Sep 02 07:24:43 2020 matrix is 4538096 x 4538267 (1970.9 MB) with weight 576319665 (126.99/col)
  245. Wed Sep 02 07:24:43 2020 sparse part has weight 466730063 (102.84/col)
  246. Wed Sep 02 07:24:43 2020 saving the first 240 matrix rows for later
  247. Wed Sep 02 07:24:44 2020 matrix includes 256 packed rows
  248. Wed Sep 02 07:24:45 2020 matrix is 4537856 x 4538267 (1791.5 MB) with weight 421353433 (92.84/col)
  249. Wed Sep 02 07:24:45 2020 sparse part has weight 397010594 (87.48/col)
  250. Wed Sep 02 07:24:45 2020 using block size 8192 and superblock size 1572864 for processor cache size 65536 kB
  251. Wed Sep 02 07:24:56 2020 commencing Lanczos iteration (23 threads)
  252. Wed Sep 02 07:24:56 2020 memory use: 2516.6 MB
  253. Wed Sep 02 07:24:57 2020 restarting at iteration 14457 (dim = 3690041)
  254. Wed Sep 02 07:25:01 2020 linear algebra at 81.3%, ETA 0h36m
  255. Wed Sep 02 07:25:03 2020 checkpointing every 1230000 dimensions
  256. Wed Sep 02 08:08:57 2020 lanczos halted after 17780 iterations (dim = 4537850)
  257. Wed Sep 02 08:09:14 2020 recovered 31 nontrivial dependencies
  258. Wed Sep 02 08:09:15 2020 BLanczosTime: 2674
  259. Wed Sep 02 08:09:15 2020
  260. Wed Sep 02 08:09:15 2020 commencing square root phase
  261. Wed Sep 02 08:09:15 2020 reading relations for dependency 1
  262. Wed Sep 02 08:09:15 2020 read 2267845 cycles
  263. Wed Sep 02 08:09:18 2020 cycles contain 7720978 unique relations
  264. Wed Sep 02 08:10:23 2020 read 7720978 relations
  265. Wed Sep 02 08:10:46 2020 multiplying 7720978 relations
  266. Wed Sep 02 08:13:34 2020 multiply complete, coefficients have about 192.85 million bits
  267. Wed Sep 02 08:13:35 2020 initial square root is modulo 8337859
  268. Wed Sep 02 08:16:36 2020 GCD is 1, no factor found
  269. Wed Sep 02 08:16:36 2020 reading relations for dependency 2
  270. Wed Sep 02 08:16:37 2020 read 2269940 cycles
  271. Wed Sep 02 08:16:40 2020 cycles contain 7729464 unique relations
  272. Wed Sep 02 08:17:43 2020 read 7729464 relations
  273. Wed Sep 02 08:18:06 2020 multiplying 7729464 relations
  274. Wed Sep 02 08:20:55 2020 multiply complete, coefficients have about 193.06 million bits
  275. Wed Sep 02 08:20:56 2020 initial square root is modulo 8483929
  276. Wed Sep 02 08:24:08 2020 sqrtTime: 893
  277. Wed Sep 02 08:24:08 2020 p73 factor: 8855974461286990540988410929241885688268790844937346016757577306963861211
  278. Wed Sep 02 08:24:08 2020 p136 factor: 1328950310726006837301844539617359897846356259286501805119349936276440539289169103663959760385738664263887471986786810441727892414609629
  279. Wed Sep 02 08:24:08 2020 elapsed time 00:59:28
  280.  
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