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Msieve log of 6p5_474

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May 26th, 2025
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  1. Fri May 23 11:41:54 2025
  2. Fri May 23 11:41:54 2025
  3. Fri May 23 11:41:54 2025 Msieve v. 1.52 (SVN unknown)
  4. Fri May 23 11:41:54 2025 random seeds: d37d7e88 eb91aaf8
  5. Fri May 23 11:41:54 2025 factoring 11552278962609847641787877430033115475237323845527944160237624249898455208204064354087398465407035955953434145297739732566933072719287678956919662110362413788924810592740162385821846435534602515849 (197 digits)
  6. Fri May 23 11:41:55 2025 no P-1/P+1/ECM available, skipping
  7. Fri May 23 11:41:55 2025 commencing number field sieve (197-digit input)
  8. Fri May 23 11:41:55 2025 R0: 174588755932389037098918153698611839369216
  9. Fri May 23 11:41:55 2025 R1: -11102230246251565404236316680908203125
  10. Fri May 23 11:41:55 2025 A0: 36
  11. Fri May 23 11:41:55 2025 A1: 0
  12. Fri May 23 11:41:55 2025 A2: 0
  13. Fri May 23 11:41:55 2025 A3: -30
  14. Fri May 23 11:41:55 2025 A4: 0
  15. Fri May 23 11:41:55 2025 A5: 0
  16. Fri May 23 11:41:55 2025 A6: 25
  17. Fri May 23 11:41:55 2025 skew 1.06, size 2.296e-012, alpha 0.330, combined = 2.192e-013 rroots = 0
  18. Fri May 23 11:41:55 2025
  19. Fri May 23 11:41:55 2025 commencing relation filtering
  20. Fri May 23 11:41:55 2025 setting target matrix density to 100.0
  21. Fri May 23 11:41:55 2025 estimated available RAM is 16289.0 MB
  22. Fri May 23 11:41:55 2025 commencing duplicate removal, pass 1
  23. Fri May 23 11:42:02 2025 error -15 reading relation 742886
  24. Fri May 23 11:42:02 2025 error -15 reading relation 749604
  25. Fri May 23 11:42:02 2025 error -9 reading relation 765155
  26. Fri May 23 11:42:03 2025 error -15 reading relation 869004
  27. Fri May 23 11:42:03 2025 error -9 reading relation 901283
  28. Fri May 23 12:23:38 2025 error -9 reading relation 266184200
  29. Fri May 23 12:23:38 2025 error -9 reading relation 266187508
  30. Fri May 23 12:23:43 2025 error -9 reading relation 266741033
  31. Fri May 23 12:23:44 2025 error -9 reading relation 266848871
  32. Fri May 23 12:23:54 2025 error -15 reading relation 267917872
  33. Fri May 23 12:23:56 2025 skipped 527 relations with b > 2^32
  34. Fri May 23 12:23:56 2025 found 53311969 hash collisions in 268155656 relations
  35. Fri May 23 12:24:17 2025 added 812763 free relations
  36. Fri May 23 12:24:17 2025 commencing duplicate removal, pass 2
  37. Fri May 23 12:32:02 2025 found 50901656 duplicates and 218066763 unique relations
  38. Fri May 23 12:32:02 2025 memory use: 1321.5 MB
  39. Fri May 23 12:32:02 2025 reading ideals above 179896320
  40. Fri May 23 12:32:02 2025 commencing singleton removal, initial pass
  41. Fri May 23 13:10:48 2025 memory use: 3012.0 MB
  42. Fri May 23 13:10:48 2025 reading all ideals from disk
  43. Fri May 23 13:11:18 2025 memory use: 3395.8 MB
  44. Fri May 23 13:11:24 2025 commencing in-memory singleton removal
  45. Fri May 23 13:11:30 2025 begin with 218066763 relations and 150378533 unique ideals
  46. Fri May 23 13:12:39 2025 reduce to 159771049 relations and 88147661 ideals in 12 passes
  47. Fri May 23 13:12:39 2025 max relations containing the same ideal: 42
  48. Fri May 23 13:12:49 2025 reading ideals above 720000
  49. Fri May 23 13:12:50 2025 commencing singleton removal, initial pass
  50. Fri May 23 13:47:34 2025 memory use: 3012.0 MB
  51. Fri May 23 13:47:34 2025 reading all ideals from disk
  52. Fri May 23 13:48:38 2025 memory use: 6373.9 MB
  53. Fri May 23 13:48:56 2025 keeping 107276592 ideals with weight <= 200, target excess is 916645
  54. Fri May 23 13:49:15 2025 commencing in-memory singleton removal
  55. Fri May 23 13:49:27 2025 begin with 159771049 relations and 107276592 unique ideals
  56. Fri May 23 13:50:48 2025 reduce to 159765351 relations and 107270894 ideals in 6 passes
  57. Fri May 23 13:50:48 2025 max relations containing the same ideal: 200
  58. Fri May 23 13:51:49 2025 removing 7664184 relations and 5664184 ideals in 2000000 cliques
  59. Fri May 23 13:51:52 2025 commencing in-memory singleton removal
  60. Fri May 23 13:52:03 2025 begin with 152101167 relations and 107270894 unique ideals
  61. Fri May 23 13:53:32 2025 reduce to 151808929 relations and 101309771 ideals in 7 passes
  62. Fri May 23 13:53:32 2025 max relations containing the same ideal: 200
  63. Fri May 23 13:54:31 2025 removing 6143365 relations and 4143365 ideals in 2000000 cliques
  64. Fri May 23 13:54:33 2025 commencing in-memory singleton removal
  65. Fri May 23 13:54:44 2025 begin with 145665564 relations and 101309771 unique ideals
  66. Fri May 23 13:55:57 2025 reduce to 145466974 relations and 96964984 ideals in 6 passes
  67. Fri May 23 13:55:57 2025 max relations containing the same ideal: 195
  68. Fri May 23 13:56:54 2025 removing 5738793 relations and 3738793 ideals in 2000000 cliques
  69. Fri May 23 13:56:56 2025 commencing in-memory singleton removal
  70. Fri May 23 13:57:07 2025 begin with 139728181 relations and 96964984 unique ideals
  71. Fri May 23 13:58:17 2025 reduce to 139559326 relations and 93054923 ideals in 6 passes
  72. Fri May 23 13:58:17 2025 max relations containing the same ideal: 193
  73. Fri May 23 13:59:14 2025 removing 5519975 relations and 3519975 ideals in 2000000 cliques
  74. Fri May 23 13:59:16 2025 commencing in-memory singleton removal
  75. Fri May 23 13:59:26 2025 begin with 134039351 relations and 93054923 unique ideals
  76. Fri May 23 14:00:21 2025 reduce to 133886360 relations and 89379715 ideals in 5 passes
  77. Fri May 23 14:00:21 2025 max relations containing the same ideal: 190
  78. Fri May 23 14:01:14 2025 removing 5374947 relations and 3374947 ideals in 2000000 cliques
  79. Fri May 23 14:01:16 2025 commencing in-memory singleton removal
  80. Fri May 23 14:01:25 2025 begin with 128511413 relations and 89379715 unique ideals
  81. Fri May 23 14:02:29 2025 reduce to 128368958 relations and 85860168 ideals in 6 passes
  82. Fri May 23 14:02:29 2025 max relations containing the same ideal: 183
  83. Fri May 23 14:03:19 2025 removing 5267957 relations and 3267957 ideals in 2000000 cliques
  84. Fri May 23 14:03:22 2025 commencing in-memory singleton removal
  85. Fri May 23 14:03:31 2025 begin with 123101001 relations and 85860168 unique ideals
  86. Fri May 23 14:04:22 2025 reduce to 122964590 relations and 82453693 ideals in 5 passes
  87. Fri May 23 14:04:22 2025 max relations containing the same ideal: 180
  88. Fri May 23 14:05:10 2025 removing 5187029 relations and 3187029 ideals in 2000000 cliques
  89. Fri May 23 14:05:13 2025 commencing in-memory singleton removal
  90. Fri May 23 14:05:21 2025 begin with 117777561 relations and 82453693 unique ideals
  91. Fri May 23 14:06:10 2025 reduce to 117643725 relations and 79130728 ideals in 5 passes
  92. Fri May 23 14:06:10 2025 max relations containing the same ideal: 174
  93. Fri May 23 14:06:56 2025 removing 5119007 relations and 3119007 ideals in 2000000 cliques
  94. Fri May 23 14:06:59 2025 commencing in-memory singleton removal
  95. Fri May 23 14:07:07 2025 begin with 112524718 relations and 79130728 unique ideals
  96. Fri May 23 14:07:53 2025 reduce to 112394025 relations and 75878810 ideals in 5 passes
  97. Fri May 23 14:07:53 2025 max relations containing the same ideal: 171
  98. Fri May 23 14:08:38 2025 removing 5065031 relations and 3065031 ideals in 2000000 cliques
  99. Fri May 23 14:08:40 2025 commencing in-memory singleton removal
  100. Fri May 23 14:08:49 2025 begin with 107328994 relations and 75878810 unique ideals
  101. Fri May 23 14:09:32 2025 reduce to 107199453 relations and 72681912 ideals in 5 passes
  102. Fri May 23 14:09:32 2025 max relations containing the same ideal: 165
  103. Fri May 23 14:10:16 2025 removing 5019793 relations and 3019793 ideals in 2000000 cliques
  104. Fri May 23 14:10:18 2025 commencing in-memory singleton removal
  105. Fri May 23 14:10:25 2025 begin with 102179660 relations and 72681912 unique ideals
  106. Fri May 23 14:11:07 2025 reduce to 102051503 relations and 69531536 ideals in 5 passes
  107. Fri May 23 14:11:07 2025 max relations containing the same ideal: 160
  108. Fri May 23 14:11:47 2025 removing 4977734 relations and 2977734 ideals in 2000000 cliques
  109. Fri May 23 14:11:49 2025 commencing in-memory singleton removal
  110. Fri May 23 14:11:56 2025 begin with 97073769 relations and 69531536 unique ideals
  111. Fri May 23 14:12:35 2025 reduce to 96943932 relations and 66421504 ideals in 5 passes
  112. Fri May 23 14:12:35 2025 max relations containing the same ideal: 154
  113. Fri May 23 14:13:13 2025 removing 4941150 relations and 2941150 ideals in 2000000 cliques
  114. Fri May 23 14:13:15 2025 commencing in-memory singleton removal
  115. Fri May 23 14:13:22 2025 begin with 92002782 relations and 66421504 unique ideals
  116. Fri May 23 14:13:59 2025 reduce to 91872523 relations and 63347455 ideals in 5 passes
  117. Fri May 23 14:13:59 2025 max relations containing the same ideal: 150
  118. Fri May 23 14:14:35 2025 removing 4909395 relations and 2909395 ideals in 2000000 cliques
  119. Fri May 23 14:14:37 2025 commencing in-memory singleton removal
  120. Fri May 23 14:14:43 2025 begin with 86963128 relations and 63347455 unique ideals
  121. Fri May 23 14:15:18 2025 reduce to 86830859 relations and 60303019 ideals in 5 passes
  122. Fri May 23 14:15:18 2025 max relations containing the same ideal: 146
  123. Fri May 23 14:15:53 2025 removing 4879972 relations and 2879972 ideals in 2000000 cliques
  124. Fri May 23 14:15:54 2025 commencing in-memory singleton removal
  125. Fri May 23 14:16:00 2025 begin with 81950887 relations and 60303019 unique ideals
  126. Fri May 23 14:16:33 2025 reduce to 81815304 relations and 57284490 ideals in 5 passes
  127. Fri May 23 14:16:33 2025 max relations containing the same ideal: 138
  128. Fri May 23 14:17:06 2025 removing 4854632 relations and 2854632 ideals in 2000000 cliques
  129. Fri May 23 14:17:08 2025 commencing in-memory singleton removal
  130. Fri May 23 14:17:14 2025 begin with 76960672 relations and 57284490 unique ideals
  131. Fri May 23 14:17:45 2025 reduce to 76822115 relations and 54288129 ideals in 5 passes
  132. Fri May 23 14:17:45 2025 max relations containing the same ideal: 132
  133. Fri May 23 14:18:15 2025 removing 4833432 relations and 2833432 ideals in 2000000 cliques
  134. Fri May 23 14:18:17 2025 commencing in-memory singleton removal
  135. Fri May 23 14:18:22 2025 begin with 71988683 relations and 54288129 unique ideals
  136. Fri May 23 14:18:52 2025 reduce to 71845953 relations and 51308572 ideals in 5 passes
  137. Fri May 23 14:18:52 2025 max relations containing the same ideal: 126
  138. Fri May 23 14:19:21 2025 removing 4814370 relations and 2814370 ideals in 2000000 cliques
  139. Fri May 23 14:19:22 2025 commencing in-memory singleton removal
  140. Fri May 23 14:19:27 2025 begin with 67031583 relations and 51308572 unique ideals
  141. Fri May 23 14:19:54 2025 reduce to 66882825 relations and 48341825 ideals in 5 passes
  142. Fri May 23 14:19:54 2025 max relations containing the same ideal: 120
  143. Fri May 23 14:20:20 2025 removing 4792529 relations and 2792529 ideals in 2000000 cliques
  144. Fri May 23 14:20:22 2025 commencing in-memory singleton removal
  145. Fri May 23 14:20:26 2025 begin with 62090296 relations and 48341825 unique ideals
  146. Fri May 23 14:20:50 2025 reduce to 61935928 relations and 45390914 ideals in 5 passes
  147. Fri May 23 14:20:50 2025 max relations containing the same ideal: 114
  148. Fri May 23 14:21:16 2025 removing 4775152 relations and 2775152 ideals in 2000000 cliques
  149. Fri May 23 14:21:17 2025 commencing in-memory singleton removal
  150. Fri May 23 14:21:21 2025 begin with 57160776 relations and 45390914 unique ideals
  151. Fri May 23 14:21:44 2025 reduce to 56998185 relations and 42448648 ideals in 5 passes
  152. Fri May 23 14:21:44 2025 max relations containing the same ideal: 107
  153. Fri May 23 14:22:06 2025 removing 4761144 relations and 2761144 ideals in 2000000 cliques
  154. Fri May 23 14:22:08 2025 commencing in-memory singleton removal
  155. Fri May 23 14:22:11 2025 begin with 52237041 relations and 42448648 unique ideals
  156. Fri May 23 14:22:36 2025 reduce to 52063715 relations and 39509244 ideals in 6 passes
  157. Fri May 23 14:22:36 2025 max relations containing the same ideal: 103
  158. Fri May 23 14:22:57 2025 removing 4748046 relations and 2748046 ideals in 2000000 cliques
  159. Fri May 23 14:22:58 2025 commencing in-memory singleton removal
  160. Fri May 23 14:23:01 2025 begin with 47315669 relations and 39509244 unique ideals
  161. Fri May 23 14:23:19 2025 reduce to 47129246 relations and 36568952 ideals in 5 passes
  162. Fri May 23 14:23:19 2025 max relations containing the same ideal: 94
  163. Fri May 23 14:23:38 2025 removing 4738460 relations and 2738460 ideals in 2000000 cliques
  164. Fri May 23 14:23:40 2025 commencing in-memory singleton removal
  165. Fri May 23 14:23:43 2025 begin with 42390786 relations and 36568952 unique ideals
  166. Fri May 23 14:23:59 2025 reduce to 42185748 relations and 33618716 ideals in 5 passes
  167. Fri May 23 14:23:59 2025 max relations containing the same ideal: 85
  168. Fri May 23 14:24:16 2025 removing 4734596 relations and 2734596 ideals in 2000000 cliques
  169. Fri May 23 14:24:17 2025 commencing in-memory singleton removal
  170. Fri May 23 14:24:20 2025 begin with 37451152 relations and 33618716 unique ideals
  171. Fri May 23 14:24:37 2025 reduce to 37220015 relations and 30644547 ideals in 6 passes
  172. Fri May 23 14:24:37 2025 max relations containing the same ideal: 78
  173. Fri May 23 14:24:52 2025 removing 4741090 relations and 2741090 ideals in 2000000 cliques
  174. Fri May 23 14:24:53 2025 commencing in-memory singleton removal
  175. Fri May 23 14:24:55 2025 begin with 32478925 relations and 30644547 unique ideals
  176. Fri May 23 14:25:10 2025 reduce to 32204002 relations and 27617081 ideals in 6 passes
  177. Fri May 23 14:25:10 2025 max relations containing the same ideal: 72
  178. Fri May 23 14:25:23 2025 removing 4771838 relations and 2771838 ideals in 2000000 cliques
  179. Fri May 23 14:25:25 2025 commencing in-memory singleton removal
  180. Fri May 23 14:25:27 2025 begin with 27432164 relations and 27617081 unique ideals
  181. Fri May 23 14:25:39 2025 reduce to 27085451 relations and 24482252 ideals in 6 passes
  182. Fri May 23 14:25:39 2025 max relations containing the same ideal: 65
  183. Fri May 23 14:25:50 2025 removing 3826238 relations and 2286348 ideals in 1539890 cliques
  184. Fri May 23 14:25:51 2025 commencing in-memory singleton removal
  185. Fri May 23 14:25:53 2025 begin with 23259213 relations and 24482252 unique ideals
  186. Fri May 23 14:26:07 2025 reduce to 22911363 relations and 21832194 ideals in 8 passes
  187. Fri May 23 14:26:07 2025 max relations containing the same ideal: 58
  188. Fri May 23 14:26:16 2025 removing 77490 relations and 61630 ideals in 15860 cliques
  189. Fri May 23 14:26:17 2025 commencing in-memory singleton removal
  190. Fri May 23 14:26:18 2025 begin with 22833873 relations and 21832194 unique ideals
  191. Fri May 23 14:26:25 2025 reduce to 22833574 relations and 21770265 ideals in 4 passes
  192. Fri May 23 14:26:25 2025 max relations containing the same ideal: 58
  193. Fri May 23 14:26:29 2025 relations with 0 large ideals: 22532
  194. Fri May 23 14:26:29 2025 relations with 1 large ideals: 23807
  195. Fri May 23 14:26:29 2025 relations with 2 large ideals: 275832
  196. Fri May 23 14:26:29 2025 relations with 3 large ideals: 1409964
  197. Fri May 23 14:26:29 2025 relations with 4 large ideals: 3748031
  198. Fri May 23 14:26:29 2025 relations with 5 large ideals: 5852917
  199. Fri May 23 14:26:29 2025 relations with 6 large ideals: 5717260
  200. Fri May 23 14:26:29 2025 relations with 7+ large ideals: 5783231
  201. Fri May 23 14:26:29 2025 commencing 2-way merge
  202. Fri May 23 14:26:42 2025 reduce to 17011464 relation sets and 15948155 unique ideals
  203. Fri May 23 14:26:42 2025 commencing full merge
  204. Fri May 23 14:31:52 2025 memory use: 1901.4 MB
  205. Fri May 23 14:31:56 2025 found 8081832 cycles, need 7942355
  206. Fri May 23 14:31:56 2025 weight of 7942355 cycles is about 794306060 (100.01/cycle)
  207. Fri May 23 14:31:56 2025 distribution of cycle lengths:
  208. Fri May 23 14:31:56 2025 1 relations: 219080
  209. Fri May 23 14:31:56 2025 2 relations: 532369
  210. Fri May 23 14:31:56 2025 3 relations: 737740
  211. Fri May 23 14:31:56 2025 4 relations: 833218
  212. Fri May 23 14:31:56 2025 5 relations: 878695
  213. Fri May 23 14:31:56 2025 6 relations: 850168
  214. Fri May 23 14:31:56 2025 7 relations: 778394
  215. Fri May 23 14:31:56 2025 8 relations: 678370
  216. Fri May 23 14:31:56 2025 9 relations: 566412
  217. Fri May 23 14:31:56 2025 10+ relations: 1867909
  218. Fri May 23 14:31:56 2025 heaviest cycle: 23 relations
  219. Fri May 23 14:32:03 2025 commencing cycle optimization
  220. Fri May 23 14:32:14 2025 start with 55573028 relations
  221. Fri May 23 14:34:18 2025 pruned 2869273 relations
  222. Fri May 23 14:34:18 2025 memory use: 1530.6 MB
  223. Fri May 23 14:34:18 2025 distribution of cycle lengths:
  224. Fri May 23 14:34:18 2025 1 relations: 219080
  225. Fri May 23 14:34:18 2025 2 relations: 550305
  226. Fri May 23 14:34:18 2025 3 relations: 779634
  227. Fri May 23 14:34:18 2025 4 relations: 882871
  228. Fri May 23 14:34:18 2025 5 relations: 941865
  229. Fri May 23 14:34:18 2025 6 relations: 905677
  230. Fri May 23 14:34:18 2025 7 relations: 825188
  231. Fri May 23 14:34:18 2025 8 relations: 702173
  232. Fri May 23 14:34:18 2025 9 relations: 573019
  233. Fri May 23 14:34:18 2025 10+ relations: 1562543
  234. Fri May 23 14:34:18 2025 heaviest cycle: 22 relations
  235. Fri May 23 14:34:30 2025 RelProcTime: 10355
  236. Fri May 23 14:34:30 2025
  237. Fri May 23 14:34:30 2025 commencing linear algebra
  238. Fri May 23 14:34:31 2025 read 7942355 cycles
  239. Fri May 23 14:34:44 2025 cycles contain 22428906 unique relations
  240. Fri May 23 14:42:14 2025 read 22428906 relations
  241. Fri May 23 14:42:47 2025 using 20 quadratic characters above 2147478014
  242. Fri May 23 14:44:18 2025 building initial matrix
  243. Fri May 23 14:48:29 2025 memory use: 2924.3 MB
  244. Fri May 23 14:49:08 2025 read 7942355 cycles
  245. Fri May 23 14:49:10 2025 matrix is 7942176 x 7942355 (3134.3 MB) with weight 899543760 (113.26/col)
  246. Fri May 23 14:49:10 2025 sparse part has weight 742220208 (93.45/col)
  247. Fri May 23 14:50:28 2025 filtering completed in 2 passes
  248. Fri May 23 14:50:30 2025 matrix is 7941532 x 7941711 (3134.2 MB) with weight 899517489 (113.26/col)
  249. Fri May 23 14:50:30 2025 sparse part has weight 742206631 (93.46/col)
  250. Fri May 23 14:51:12 2025 matrix starts at (0, 0)
  251. Fri May 23 14:51:14 2025 matrix is 7941532 x 7941711 (3134.2 MB) with weight 899517489 (113.26/col)
  252. Fri May 23 14:51:14 2025 sparse part has weight 742206631 (93.46/col)
  253. Fri May 23 14:51:14 2025 saving the first 48 matrix rows for later
  254. Fri May 23 14:51:17 2025 matrix includes 64 packed rows
  255. Fri May 23 14:51:18 2025 matrix is 7941484 x 7941711 (3008.7 MB) with weight 758736866 (95.54/col)
  256. Fri May 23 14:51:18 2025 sparse part has weight 709284919 (89.31/col)
  257. Fri May 23 14:51:18 2025 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  258. Fri May 23 14:51:53 2025 commencing Lanczos iteration (4 threads)
  259. Fri May 23 14:51:53 2025 memory use: 2529.0 MB
  260. Fri May 23 14:52:45 2025 linear algebra at 0.0%, ETA 72h56m
  261. Fri May 23 14:53:01 2025 checkpointing every 120000 dimensions
  262. Mon May 26 14:33:58 2025 lanczos halted after 125591 iterations (dim = 7941483)
  263. Mon May 26 14:34:07 2025 recovered 40 nontrivial dependencies
  264. Mon May 26 14:34:10 2025 BLanczosTime: 259180
  265. Mon May 26 14:34:10 2025
  266. Mon May 26 14:34:10 2025 commencing square root phase
  267. Mon May 26 14:34:10 2025 handling dependencies 1 to 64
  268. Mon May 26 14:34:10 2025 reading relations for dependency 1
  269. Mon May 26 14:34:12 2025 read 3971898 cycles
  270. Mon May 26 14:34:18 2025 cycles contain 11215314 unique relations
  271. Mon May 26 14:41:42 2025 read 11215314 relations
  272. Mon May 26 14:42:43 2025 multiplying 11215314 relations
  273. Mon May 26 14:53:03 2025 multiply complete, coefficients have about 343.37 million bits
  274. Mon May 26 14:53:06 2025 initial square root is modulo 1449509
  275. Mon May 26 15:04:55 2025 sqrtTime: 1845
  276. Mon May 26 15:04:55 2025 prp96 factor: 748777778257914800726576923495297188545950546545156939200792237780040237444930458448214409598049
  277. Mon May 26 15:04:55 2025 prp101 factor: 15428180827544125458913177923285640112658966827181916297926955412938640161856086992275665735707292201
  278. Mon May 26 15:04:55 2025 elapsed time 75:23:01
  279.  
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