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Mar 29th, 2016
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  1. Sun Mar 27 17:02:05 2016
  2. Sun Mar 27 17:02:05 2016
  3. Sun Mar 27 17:02:05 2016 Msieve v. 1.53 (SVN 984M)
  4. Sun Mar 27 17:02:05 2016 random seeds: 25a7eefa 4783122f
  5. Sun Mar 27 17:02:05 2016 MPI process 0 of 1
  6. Sun Mar 27 17:02:05 2016 factoring 796685494807551393276126097634361004772207615710831888704858319266461218673814091295987152094953595169115628538946372115870117102307392198329546464601650578087286140264205854766422817805573057370969 (198 digits)
  7. Sun Mar 27 17:02:05 2016 commencing number field sieve (198-digit input)
  8. Sun Mar 27 17:02:05 2016 R0: -14462514456854182051674198147120234496
  9. Sun Mar 27 17:02:05 2016 R1: 514166125484246966737602341678133311989
  10. Sun Mar 27 17:02:05 2016 A0: 11881
  11. Sun Mar 27 17:02:05 2016 A1: 0
  12. Sun Mar 27 17:02:05 2016 A2: 0
  13. Sun Mar 27 17:02:05 2016 A3: 0
  14. Sun Mar 27 17:02:05 2016 A4: 0
  15. Sun Mar 27 17:02:05 2016 A5: 0
  16. Sun Mar 27 17:02:05 2016 A6: 116
  17. Sun Mar 27 17:02:05 2016 skew 1.00, size 6.470e-12, alpha -1.590, combined = 4.740e-13 rroots = 0
  18. Sun Mar 27 17:02:05 2016
  19. Sun Mar 27 17:02:05 2016 commencing relation filtering
  20. Sun Mar 27 17:02:05 2016 setting target matrix density to 130.0
  21. Sun Mar 27 17:02:05 2016 estimated available RAM is 258443.8 MB
  22. Sun Mar 27 17:02:05 2016 commencing duplicate removal, pass 1
  23. Sun Mar 27 17:35:05 2016 skipped 10 relations with b > 2^32
  24. Sun Mar 27 17:35:05 2016 skipped 1 relations with composite factors
  25. Sun Mar 27 17:35:05 2016 found 7287120 hash collisions in 181828246 relations
  26. Sun Mar 27 17:35:22 2016 added 1220962 free relations
  27. Sun Mar 27 17:35:22 2016 commencing duplicate removal, pass 2
  28. Sun Mar 27 17:45:05 2016 found 0 duplicates and 183049208 unique relations
  29. Sun Mar 27 17:45:05 2016 memory use: 522.4 MB
  30. Sun Mar 27 17:45:05 2016 reading ideals above 720000
  31. Sun Mar 27 17:45:06 2016 commencing singleton removal, initial pass
  32. Sun Mar 27 18:14:36 2016 memory use: 5512.0 MB
  33. Sun Mar 27 18:14:36 2016 reading all ideals from disk
  34. Sun Mar 27 18:15:40 2016 memory use: 7085.3 MB
  35. Sun Mar 27 18:15:52 2016 keeping 170157917 ideals with weight <= 200, target excess is 911349
  36. Sun Mar 27 18:16:07 2016 commencing in-memory singleton removal
  37. Sun Mar 27 18:16:16 2016 begin with 183049208 relations and 170157917 unique ideals
  38. Sun Mar 27 18:18:05 2016 reduce to 110971857 relations and 89867191 ideals in 15 passes
  39. Sun Mar 27 18:18:05 2016 max relations containing the same ideal: 149
  40. Sun Mar 27 18:18:41 2016 removing 11131948 relations and 9131948 ideals in 2000000 cliques
  41. Sun Mar 27 18:18:44 2016 commencing in-memory singleton removal
  42. Sun Mar 27 18:18:49 2016 begin with 99839909 relations and 89867191 unique ideals
  43. Sun Mar 27 18:19:43 2016 reduce to 99017295 relations and 79893951 ideals in 9 passes
  44. Sun Mar 27 18:19:43 2016 max relations containing the same ideal: 141
  45. Sun Mar 27 18:20:15 2016 removing 8426624 relations and 6426624 ideals in 2000000 cliques
  46. Sun Mar 27 18:20:17 2016 commencing in-memory singleton removal
  47. Sun Mar 27 18:20:22 2016 begin with 90590671 relations and 79893951 unique ideals
  48. Sun Mar 27 18:21:00 2016 reduce to 90037802 relations and 72903451 ideals in 7 passes
  49. Sun Mar 27 18:21:00 2016 max relations containing the same ideal: 132
  50. Sun Mar 27 18:21:29 2016 removing 7630104 relations and 5630104 ideals in 2000000 cliques
  51. Sun Mar 27 18:21:31 2016 commencing in-memory singleton removal
  52. Sun Mar 27 18:21:36 2016 begin with 82407698 relations and 72903451 unique ideals
  53. Sun Mar 27 18:22:14 2016 reduce to 81916068 relations and 66771708 ideals in 8 passes
  54. Sun Mar 27 18:22:14 2016 max relations containing the same ideal: 127
  55. Sun Mar 27 18:22:41 2016 removing 7223959 relations and 5223959 ideals in 2000000 cliques
  56. Sun Mar 27 18:22:44 2016 commencing in-memory singleton removal
  57. Sun Mar 27 18:22:48 2016 begin with 74692109 relations and 66771708 unique ideals
  58. Sun Mar 27 18:23:18 2016 reduce to 74219064 relations and 61064198 ideals in 7 passes
  59. Sun Mar 27 18:23:18 2016 max relations containing the same ideal: 119
  60. Sun Mar 27 18:23:43 2016 removing 6981490 relations and 4981490 ideals in 2000000 cliques
  61. Sun Mar 27 18:23:45 2016 commencing in-memory singleton removal
  62. Sun Mar 27 18:23:48 2016 begin with 67237574 relations and 61064198 unique ideals
  63. Sun Mar 27 18:24:19 2016 reduce to 66762216 relations and 55596034 ideals in 8 passes
  64. Sun Mar 27 18:24:19 2016 max relations containing the same ideal: 107
  65. Sun Mar 27 18:24:42 2016 removing 6819939 relations and 4819939 ideals in 2000000 cliques
  66. Sun Mar 27 18:24:44 2016 commencing in-memory singleton removal
  67. Sun Mar 27 18:24:47 2016 begin with 59942277 relations and 55596034 unique ideals
  68. Sun Mar 27 18:25:14 2016 reduce to 59451309 relations and 50272278 ideals in 8 passes
  69. Sun Mar 27 18:25:14 2016 max relations containing the same ideal: 103
  70. Sun Mar 27 18:25:34 2016 removing 6716956 relations and 4716956 ideals in 2000000 cliques
  71. Sun Mar 27 18:25:36 2016 commencing in-memory singleton removal
  72. Sun Mar 27 18:25:39 2016 begin with 52734353 relations and 50272278 unique ideals
  73. Sun Mar 27 18:26:00 2016 reduce to 52212142 relations and 45018080 ideals in 7 passes
  74. Sun Mar 27 18:26:00 2016 max relations containing the same ideal: 93
  75. Sun Mar 27 18:26:17 2016 removing 6644972 relations and 4644972 ideals in 2000000 cliques
  76. Sun Mar 27 18:26:19 2016 commencing in-memory singleton removal
  77. Sun Mar 27 18:26:21 2016 begin with 45567170 relations and 45018080 unique ideals
  78. Sun Mar 27 18:26:42 2016 reduce to 44995806 relations and 39783188 ideals in 8 passes
  79. Sun Mar 27 18:26:42 2016 max relations containing the same ideal: 83
  80. Sun Mar 27 18:26:57 2016 removing 6600914 relations and 4600914 ideals in 2000000 cliques
  81. Sun Mar 27 18:26:59 2016 commencing in-memory singleton removal
  82. Sun Mar 27 18:27:01 2016 begin with 38394892 relations and 39783188 unique ideals
  83. Sun Mar 27 18:27:15 2016 reduce to 37749005 relations and 34511545 ideals in 7 passes
  84. Sun Mar 27 18:27:15 2016 max relations containing the same ideal: 74
  85. Sun Mar 27 18:27:29 2016 removing 6576332 relations and 4576332 ideals in 2000000 cliques
  86. Sun Mar 27 18:27:30 2016 commencing in-memory singleton removal
  87. Sun Mar 27 18:27:32 2016 begin with 31172673 relations and 34511545 unique ideals
  88. Sun Mar 27 18:27:45 2016 reduce to 30400201 relations and 29127616 ideals in 8 passes
  89. Sun Mar 27 18:27:45 2016 max relations containing the same ideal: 63
  90. Sun Mar 27 18:27:56 2016 removing 1096637 relations and 881217 ideals in 215420 cliques
  91. Sun Mar 27 18:27:57 2016 commencing in-memory singleton removal
  92. Sun Mar 27 18:27:58 2016 begin with 29303564 relations and 29127616 unique ideals
  93. Sun Mar 27 18:28:07 2016 reduce to 29275683 relations and 28218323 ideals in 6 passes
  94. Sun Mar 27 18:28:07 2016 max relations containing the same ideal: 63
  95. Sun Mar 27 18:28:22 2016 relations with 0 large ideals: 33982
  96. Sun Mar 27 18:28:22 2016 relations with 1 large ideals: 26266
  97. Sun Mar 27 18:28:22 2016 relations with 2 large ideals: 299447
  98. Sun Mar 27 18:28:22 2016 relations with 3 large ideals: 1595801
  99. Sun Mar 27 18:28:22 2016 relations with 4 large ideals: 4508874
  100. Sun Mar 27 18:28:22 2016 relations with 5 large ideals: 7474234
  101. Sun Mar 27 18:28:22 2016 relations with 6 large ideals: 7616008
  102. Sun Mar 27 18:28:22 2016 relations with 7+ large ideals: 7721071
  103. Sun Mar 27 18:28:22 2016 commencing 2-way merge
  104. Sun Mar 27 18:28:35 2016 reduce to 18950338 relation sets and 17892978 unique ideals
  105. Sun Mar 27 18:28:35 2016 commencing full merge
  106. Sun Mar 27 18:34:54 2016 memory use: 2368.1 MB
  107. Sun Mar 27 18:34:56 2016 found 8302773 cycles, need 8287178
  108. Sun Mar 27 18:34:59 2016 weight of 8287178 cycles is about 1078137874 (130.10/cycle)
  109. Sun Mar 27 18:34:59 2016 distribution of cycle lengths:
  110. Sun Mar 27 18:34:59 2016 1 relations: 277364
  111. Sun Mar 27 18:34:59 2016 2 relations: 425617
  112. Sun Mar 27 18:34:59 2016 3 relations: 510470
  113. Sun Mar 27 18:34:59 2016 4 relations: 535662
  114. Sun Mar 27 18:34:59 2016 5 relations: 556257
  115. Sun Mar 27 18:34:59 2016 6 relations: 556825
  116. Sun Mar 27 18:34:59 2016 7 relations: 552190
  117. Sun Mar 27 18:34:59 2016 8 relations: 536360
  118. Sun Mar 27 18:34:59 2016 9 relations: 517093
  119. Sun Mar 27 18:34:59 2016 10+ relations: 3819340
  120. Sun Mar 27 18:34:59 2016 heaviest cycle: 28 relations
  121. Sun Mar 27 18:35:02 2016 commencing cycle optimization
  122. Sun Mar 27 18:35:18 2016 start with 81379725 relations
  123. Sun Mar 27 18:38:28 2016 pruned 4047020 relations
  124. Sun Mar 27 18:38:28 2016 memory use: 2045.1 MB
  125. Sun Mar 27 18:38:28 2016 distribution of cycle lengths:
  126. Sun Mar 27 18:38:28 2016 1 relations: 277364
  127. Sun Mar 27 18:38:28 2016 2 relations: 436450
  128. Sun Mar 27 18:38:28 2016 3 relations: 532427
  129. Sun Mar 27 18:38:28 2016 4 relations: 558963
  130. Sun Mar 27 18:38:28 2016 5 relations: 584693
  131. Sun Mar 27 18:38:28 2016 6 relations: 586118
  132. Sun Mar 27 18:38:28 2016 7 relations: 584186
  133. Sun Mar 27 18:38:28 2016 8 relations: 566456
  134. Sun Mar 27 18:38:28 2016 9 relations: 545758
  135. Sun Mar 27 18:38:28 2016 10+ relations: 3614763
  136. Sun Mar 27 18:38:28 2016 heaviest cycle: 28 relations
  137. Sun Mar 27 18:38:42 2016 RelProcTime: 5797
  138. Sun Mar 27 18:38:42 2016 elapsed time 01:36:37
  139. Sun Mar 27 18:38:47 2016
  140. Sun Mar 27 18:38:47 2016
  141. Sun Mar 27 18:38:47 2016 Msieve v. 1.53 (SVN 984M)
  142. Sun Mar 27 18:38:47 2016 random seeds: d5589f6e 5b587e80
  143. Sun Mar 27 18:38:47 2016 MPI process 0 of 4
  144. Sun Mar 27 18:38:47 2016 factoring 796685494807551393276126097634361004772207615710831888704858319266461218673814091295987152094953595169115628538946372115870117102307392198329546464601650578087286140264205854766422817805573057370969 (198 digits)
  145. Sun Mar 27 18:38:47 2016 commencing number field sieve (198-digit input)
  146. Sun Mar 27 18:38:47 2016 R0: -14462514456854182051674198147120234496
  147. Sun Mar 27 18:38:47 2016 R1: 514166125484246966737602341678133311989
  148. Sun Mar 27 18:38:47 2016 A0: 11881
  149. Sun Mar 27 18:38:47 2016 A1: 0
  150. Sun Mar 27 18:38:47 2016 A2: 0
  151. Sun Mar 27 18:38:47 2016 A3: 0
  152. Sun Mar 27 18:38:47 2016 A4: 0
  153. Sun Mar 27 18:38:47 2016 A5: 0
  154. Sun Mar 27 18:38:47 2016 A6: 116
  155. Sun Mar 27 18:38:47 2016 skew 1.00, size 6.470e-12, alpha -1.590, combined = 4.740e-13 rroots = 0
  156. Sun Mar 27 18:38:47 2016
  157. Sun Mar 27 18:38:47 2016 commencing linear algebra
  158. Sun Mar 27 18:38:47 2016 initialized process (0,0) of 2 x 2 grid
  159. Sun Mar 27 18:38:50 2016 read 8287178 cycles
  160. Sun Mar 27 18:39:06 2016 cycles contain 28731150 unique relations
  161. Sun Mar 27 18:51:19 2016 read 28731150 relations
  162. Sun Mar 27 18:51:58 2016 using 20 quadratic characters above 4294917295
  163. Sun Mar 27 18:54:12 2016 building initial matrix
  164. Sun Mar 27 19:00:04 2016 memory use: 3695.5 MB
  165. Sun Mar 27 19:00:46 2016 read 8287178 cycles
  166. Sun Mar 27 19:00:48 2016 matrix is 8287000 x 8287178 (4155.6 MB) with weight 1216992290 (146.85/col)
  167. Sun Mar 27 19:00:48 2016 sparse part has weight 998197667 (120.45/col)
  168. Sun Mar 27 19:02:16 2016 filtering completed in 2 passes
  169. Sun Mar 27 19:02:18 2016 matrix is 8286923 x 8287101 (4155.6 MB) with weight 1216989626 (146.85/col)
  170. Sun Mar 27 19:02:18 2016 sparse part has weight 998197083 (120.45/col)
  171. Sun Mar 27 19:03:48 2016 matrix starts at (0, 0)
  172. Sun Mar 27 19:03:48 2016 matrix is 4143518 x 4143556 (1154.5 MB) with weight 366453896 (88.44/col)
  173. Sun Mar 27 19:03:48 2016 sparse part has weight 257059768 (62.04/col)
  174. Sun Mar 27 19:03:48 2016 saving the first 48 matrix rows for later
  175. Sun Mar 27 19:03:49 2016 matrix includes 64 packed rows
  176. Sun Mar 27 19:03:49 2016 matrix is 4143470 x 4143556 (1083.3 MB) with weight 283020440 (68.30/col)
  177. Sun Mar 27 19:03:50 2016 sparse part has weight 242547259 (58.54/col)
  178. Sun Mar 27 19:03:50 2016 using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
  179. Sun Mar 27 19:03:59 2016 commencing Lanczos iteration (20 threads)
  180. Sun Mar 27 19:03:59 2016 memory use: 908.6 MB
  181. Sun Mar 27 19:04:05 2016 linear algebra at 0.0%, ETA 7h35m
  182. Sun Mar 27 19:04:07 2016 checkpointing every 1050000 dimensions
  183. Mon Mar 28 04:09:54 2016 lanczos halted after 131046 iterations (dim = 8286871)
  184. Mon Mar 28 04:10:04 2016 recovered 37 nontrivial dependencies
  185. Mon Mar 28 04:10:04 2016 BLanczosTime: 34277
  186. Mon Mar 28 04:10:04 2016 elapsed time 09:31:17
  187. Mon Mar 28 04:10:06 2016
  188. Mon Mar 28 04:10:06 2016
  189. Mon Mar 28 04:10:06 2016 Msieve v. 1.53 (SVN 984M)
  190. Mon Mar 28 04:10:06 2016 random seeds: 4f8a99f8 a4dc9687
  191. Mon Mar 28 04:10:06 2016 MPI process 0 of 1
  192. Mon Mar 28 04:10:06 2016 factoring 796685494807551393276126097634361004772207615710831888704858319266461218673814091295987152094953595169115628538946372115870117102307392198329546464601650578087286140264205854766422817805573057370969 (198 digits)
  193. Mon Mar 28 04:10:06 2016 commencing number field sieve (198-digit input)
  194. Mon Mar 28 04:10:06 2016 R0: -14462514456854182051674198147120234496
  195. Mon Mar 28 04:10:06 2016 R1: 514166125484246966737602341678133311989
  196. Mon Mar 28 04:10:06 2016 A0: 11881
  197. Mon Mar 28 04:10:06 2016 A1: 0
  198. Mon Mar 28 04:10:06 2016 A2: 0
  199. Mon Mar 28 04:10:06 2016 A3: 0
  200. Mon Mar 28 04:10:06 2016 A4: 0
  201. Mon Mar 28 04:10:06 2016 A5: 0
  202. Mon Mar 28 04:10:06 2016 A6: 116
  203. Mon Mar 28 04:10:06 2016 skew 1.00, size 6.470e-12, alpha -1.590, combined = 4.740e-13 rroots = 0
  204. Mon Mar 28 04:10:06 2016
  205. Mon Mar 28 04:10:06 2016 commencing square root phase
  206. Mon Mar 28 04:10:06 2016 reading relations for dependency 1
  207. Mon Mar 28 04:10:10 2016 read 4142737 cycles
  208. Mon Mar 28 04:10:17 2016 cycles contain 14365878 unique relations
  209. Mon Mar 28 04:20:45 2016 read 14365878 relations
  210. Mon Mar 28 04:21:38 2016 multiplying 14365878 relations
  211. Mon Mar 28 04:32:59 2016 multiply complete, coefficients have about 461.84 million bits
  212. Mon Mar 28 04:33:01 2016 initial square root is modulo 193622629
  213. Mon Mar 28 04:45:52 2016 sqrtTime: 2146
  214. Mon Mar 28 04:45:52 2016 p69 factor: 162347332707456142418125811770515546371812582568093060855169883338619
  215. Mon Mar 28 04:45:52 2016 elapsed time 00:35:46
  216. Mon Mar 28 10:56:52 2016
  217. Mon Mar 28 10:56:52 2016
  218. Mon Mar 28 10:56:52 2016 Msieve v. 1.53 (SVN 984M)
  219. Mon Mar 28 10:56:52 2016 random seeds: a28e7d97 07179ea6
  220. Mon Mar 28 10:56:52 2016 MPI process 0 of 1
  221. Mon Mar 28 10:56:52 2016 factoring 796685494807551393276126097634361004772207615710831888704858319266461218673814091295987152094953595169115628538946372115870117102307392198329546464601650578087286140264205854766422817805573057370969 (198 digits)
  222. Mon Mar 28 10:56:52 2016 commencing number field sieve (198-digit input)
  223. Mon Mar 28 10:56:52 2016 R0: -14462514456854182051674198147120234496
  224. Mon Mar 28 10:56:52 2016 R1: 514166125484246966737602341678133311989
  225. Mon Mar 28 10:56:52 2016 A0: 11881
  226. Mon Mar 28 10:56:52 2016 A1: 0
  227. Mon Mar 28 10:56:52 2016 A2: 0
  228. Mon Mar 28 10:56:52 2016 A3: 0
  229. Mon Mar 28 10:56:52 2016 A4: 0
  230. Mon Mar 28 10:56:52 2016 A5: 0
  231. Mon Mar 28 10:56:52 2016 A6: 116
  232. Mon Mar 28 10:56:52 2016 skew 1.00, size 6.470e-12, alpha -1.590, combined = 4.740e-13 rroots = 0
  233. Mon Mar 28 10:56:52 2016
  234. Mon Mar 28 10:56:52 2016 commencing square root phase
  235. Mon Mar 28 10:56:52 2016 handling dependencies 2 to 64
  236. Mon Mar 28 10:56:52 2016 reading relations for dependency 2
  237. Mon Mar 28 10:56:53 2016 read 4143853 cycles
  238. Mon Mar 28 10:57:06 2016 cycles contain 14368202 unique relations
  239. Mon Mar 28 11:09:57 2016
  240. Mon Mar 28 11:09:57 2016
  241. Mon Mar 28 11:09:57 2016 Msieve v. 1.53 (SVN 984M)
  242. Mon Mar 28 11:09:57 2016 random seeds: 74f63516 e13f409b
  243. Mon Mar 28 11:09:57 2016 MPI process 0 of 1
  244. Mon Mar 28 11:09:57 2016 factoring 796685494807551393276126097634361004772207615710831888704858319266461218673814091295987152094953595169115628538946372115870117102307392198329546464601650578087286140264205854766422817805573057370969 (198 digits)
  245. Mon Mar 28 11:09:57 2016 commencing number field sieve (198-digit input)
  246. Mon Mar 28 11:09:57 2016 R0: -14462514456854182051674198147120234496
  247. Mon Mar 28 11:09:57 2016 R1: 514166125484246966737602341678133311989
  248. Mon Mar 28 11:09:57 2016 A0: 11881
  249. Mon Mar 28 11:09:57 2016 A1: 0
  250. Mon Mar 28 11:09:57 2016 A2: 0
  251. Mon Mar 28 11:09:57 2016 A3: 0
  252. Mon Mar 28 11:09:57 2016 A4: 0
  253. Mon Mar 28 11:09:57 2016 A5: 0
  254. Mon Mar 28 11:09:57 2016 A6: 116
  255. Mon Mar 28 11:09:57 2016 skew 1.00, size 6.470e-12, alpha -1.590, combined = 4.740e-13 rroots = 0
  256. Mon Mar 28 11:09:57 2016
  257. Mon Mar 28 11:09:57 2016 commencing square root phase
  258. Mon Mar 28 11:09:57 2016 handling dependencies 2 to 64
  259. Mon Mar 28 11:09:57 2016 reading relations for dependency 2
  260. Mon Mar 28 11:10:00 2016 read 4143853 cycles
  261. Mon Mar 28 11:10:13 2016 cycles contain 14368202 unique relations
  262. Mon Mar 28 11:25:15 2016 read 14368202 relations
  263. Mon Mar 28 11:26:54 2016 multiplying 14368202 relations
  264. Mon Mar 28 11:45:18 2016 multiply complete, coefficients have about 461.92 million bits
  265. Mon Mar 28 11:45:21 2016 initial square root is modulo 194254519
  266. Mon Mar 28 12:05:52 2016 found factor: 162347332707456142418125811770515546371812582568093060855169883338619
  267. Mon Mar 28 12:05:52 2016 reading relations for dependency 3
  268. Mon Mar 28 12:05:54 2016 read 4141521 cycles
  269. Mon Mar 28 12:06:07 2016 cycles contain 14363050 unique relations
  270. Mon Mar 28 12:21:05 2016 read 14363050 relations
  271. Mon Mar 28 12:22:43 2016 multiplying 14363050 relations
  272. Mon Mar 28 12:41:06 2016 multiply complete, coefficients have about 461.75 million bits
  273. Mon Mar 28 12:41:09 2016 initial square root is modulo 192855121
  274. Mon Mar 28 13:01:37 2016 sqrtTime: 6700
  275. Mon Mar 28 13:01:37 2016 p65 factor: 21624685097800384290712975535177420813152145687257055905369956067
  276. Mon Mar 28 13:01:37 2016 p66 factor: 226930024696223982858092749716402241280167533386166436173255537353
  277. Mon Mar 28 13:01:37 2016 elapsed time 01:51:40
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