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Oct 4th, 2025
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  1. Sat Oct 4 12:01:34 2025
  2. Sat Oct 4 12:01:34 2025
  3. Sat Oct 4 12:01:34 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Oct 4 12:01:34 2025 random seeds: 0f05bbe3 61f4b15b
  5. Sat Oct 4 12:01:34 2025 factoring 93924115336608262652606403204970336965305604451028884041414226413679629362818216411408744251812777461837663687975321562056635430438945758340220493630895533402263437474255284437887867031 (185 digits)
  6. Sat Oct 4 12:01:35 2025 searching for 15-digit factors
  7. Sat Oct 4 12:01:36 2025 commencing number field sieve (185-digit input)
  8. Sat Oct 4 12:01:36 2025 R0: 2424735555028687230155603098210017996633690410
  9. Sat Oct 4 12:01:36 2025 R1: -49241603903901091655347
  10. Sat Oct 4 12:01:36 2025 A0: 1
  11. Sat Oct 4 12:01:36 2025 A1: 3
  12. Sat Oct 4 12:01:36 2025 A2: -3
  13. Sat Oct 4 12:01:36 2025 A3: -4
  14. Sat Oct 4 12:01:36 2025 A4: 1
  15. Sat Oct 4 12:01:36 2025 A5: 1
  16. Sat Oct 4 12:01:36 2025 skew 1.47, size 1.894e-15, alpha 2.379, combined = 1.445e-12 rroots = 5
  17. Sat Oct 4 12:01:36 2025
  18. Sat Oct 4 12:01:36 2025 commencing relation filtering
  19. Sat Oct 4 12:01:36 2025 setting target matrix density to 100.0
  20. Sat Oct 4 12:01:36 2025 estimated available RAM is 15938.6 MB
  21. Sat Oct 4 12:01:36 2025 commencing duplicate removal, pass 1
  22. Sat Oct 4 12:18:09 2025 skipped 21 relations with b > 2^32
  23. Sat Oct 4 12:18:09 2025 found 4672190 hash collisions in 103466122 relations
  24. Sat Oct 4 12:18:09 2025 commencing duplicate removal, pass 2
  25. Sat Oct 4 12:19:15 2025 found 0 duplicates and 103466122 unique relations
  26. Sat Oct 4 12:19:15 2025 memory use: 261.2 MB
  27. Sat Oct 4 12:19:15 2025 reading ideals above 56033280
  28. Sat Oct 4 12:19:15 2025 commencing singleton removal, initial pass
  29. Sat Oct 4 12:34:11 2025 memory use: 2756.0 MB
  30. Sat Oct 4 12:34:11 2025 reading all ideals from disk
  31. Sat Oct 4 12:34:15 2025 memory use: 1959.5 MB
  32. Sat Oct 4 12:34:33 2025 commencing in-memory singleton removal
  33. Sat Oct 4 12:34:53 2025 begin with 103466122 relations and 85463614 unique ideals
  34. Sat Oct 4 12:38:36 2025 reduce to 71503128 relations and 50524733 ideals in 14 passes
  35. Sat Oct 4 12:38:36 2025 max relations containing the same ideal: 31
  36. Sat Oct 4 12:38:51 2025 reading ideals above 720000
  37. Sat Oct 4 12:38:52 2025 commencing singleton removal, initial pass
  38. Sat Oct 4 12:53:52 2025 memory use: 1506.0 MB
  39. Sat Oct 4 12:53:52 2025 reading all ideals from disk
  40. Sat Oct 4 12:53:58 2025 memory use: 2666.5 MB
  41. Sat Oct 4 12:54:24 2025 keeping 56856573 ideals with weight <= 200, target excess is 348439
  42. Sat Oct 4 12:54:55 2025 commencing in-memory singleton removal
  43. Sat Oct 4 12:55:17 2025 begin with 71503131 relations and 56856573 unique ideals
  44. Sat Oct 4 12:55:53 2025 reduce to 71503125 relations and 56856562 ideals in 2 passes
  45. Sat Oct 4 12:55:53 2025 max relations containing the same ideal: 200
  46. Sat Oct 4 12:57:43 2025 removing 8332712 relations and 6332712 ideals in 2000000 cliques
  47. Sat Oct 4 12:57:49 2025 commencing in-memory singleton removal
  48. Sat Oct 4 12:58:09 2025 begin with 63170413 relations and 56856562 unique ideals
  49. Sat Oct 4 13:00:49 2025 reduce to 62311622 relations and 49634501 ideals in 8 passes
  50. Sat Oct 4 13:00:49 2025 max relations containing the same ideal: 192
  51. Sat Oct 4 13:02:25 2025 removing 6744080 relations and 4744080 ideals in 2000000 cliques
  52. Sat Oct 4 13:02:30 2025 commencing in-memory singleton removal
  53. Sat Oct 4 13:02:47 2025 begin with 55567542 relations and 49634501 unique ideals
  54. Sat Oct 4 13:04:58 2025 reduce to 54954339 relations and 44256869 ideals in 7 passes
  55. Sat Oct 4 13:04:58 2025 max relations containing the same ideal: 177
  56. Sat Oct 4 13:06:27 2025 removing 6315255 relations and 4315255 ideals in 2000000 cliques
  57. Sat Oct 4 13:06:32 2025 commencing in-memory singleton removal
  58. Sat Oct 4 13:06:45 2025 begin with 48639084 relations and 44256869 unique ideals
  59. Sat Oct 4 13:08:42 2025 reduce to 48056872 relations and 39339209 ideals in 8 passes
  60. Sat Oct 4 13:08:42 2025 max relations containing the same ideal: 162
  61. Sat Oct 4 13:09:50 2025 removing 6126953 relations and 4126953 ideals in 2000000 cliques
  62. Sat Oct 4 13:09:54 2025 commencing in-memory singleton removal
  63. Sat Oct 4 13:10:05 2025 begin with 41929919 relations and 39339209 unique ideals
  64. Sat Oct 4 13:11:16 2025 reduce to 41323102 relations and 34582288 ideals in 7 passes
  65. Sat Oct 4 13:11:16 2025 max relations containing the same ideal: 146
  66. Sat Oct 4 13:12:19 2025 removing 6047713 relations and 4047713 ideals in 2000000 cliques
  67. Sat Oct 4 13:12:23 2025 commencing in-memory singleton removal
  68. Sat Oct 4 13:12:33 2025 begin with 35275389 relations and 34582288 unique ideals
  69. Sat Oct 4 13:13:58 2025 reduce to 34595545 relations and 29825152 ideals in 8 passes
  70. Sat Oct 4 13:13:58 2025 max relations containing the same ideal: 129
  71. Sat Oct 4 13:14:52 2025 removing 6054056 relations and 4054056 ideals in 2000000 cliques
  72. Sat Oct 4 13:14:55 2025 commencing in-memory singleton removal
  73. Sat Oct 4 13:15:03 2025 begin with 28541489 relations and 29825152 unique ideals
  74. Sat Oct 4 13:16:04 2025 reduce to 27730552 relations and 24918154 ideals in 8 passes
  75. Sat Oct 4 13:16:04 2025 max relations containing the same ideal: 113
  76. Sat Oct 4 13:16:46 2025 removing 6116676 relations and 4116676 ideals in 2000000 cliques
  77. Sat Oct 4 13:16:50 2025 commencing in-memory singleton removal
  78. Sat Oct 4 13:16:55 2025 begin with 21613876 relations and 24918154 unique ideals
  79. Sat Oct 4 13:17:47 2025 reduce to 20552401 relations and 19670149 ideals in 9 passes
  80. Sat Oct 4 13:17:47 2025 max relations containing the same ideal: 91
  81. Sat Oct 4 13:18:20 2025 removing 2086731 relations and 1608669 ideals in 478062 cliques
  82. Sat Oct 4 13:18:22 2025 commencing in-memory singleton removal
  83. Sat Oct 4 13:18:27 2025 begin with 18465670 relations and 19670149 unique ideals
  84. Sat Oct 4 13:19:06 2025 reduce to 18277112 relations and 17868463 ideals in 8 passes
  85. Sat Oct 4 13:19:06 2025 max relations containing the same ideal: 87
  86. Sat Oct 4 13:19:40 2025 relations with 0 large ideals: 28615
  87. Sat Oct 4 13:19:40 2025 relations with 1 large ideals: 3911
  88. Sat Oct 4 13:19:40 2025 relations with 2 large ideals: 45698
  89. Sat Oct 4 13:19:40 2025 relations with 3 large ideals: 335978
  90. Sat Oct 4 13:19:40 2025 relations with 4 large ideals: 1350767
  91. Sat Oct 4 13:19:40 2025 relations with 5 large ideals: 3223567
  92. Sat Oct 4 13:19:40 2025 relations with 6 large ideals: 5403804
  93. Sat Oct 4 13:19:40 2025 relations with 7+ large ideals: 7884772
  94. Sat Oct 4 13:19:40 2025 commencing 2-way merge
  95. Sat Oct 4 13:20:15 2025 reduce to 11774189 relation sets and 11365540 unique ideals
  96. Sat Oct 4 13:20:15 2025 commencing full merge
  97. Sat Oct 4 13:33:20 2025 memory use: 1570.5 MB
  98. Sat Oct 4 13:33:23 2025 found 5495654 cycles, need 5473740
  99. Sat Oct 4 13:33:26 2025 weight of 5473740 cycles is about 547727098 (100.06/cycle)
  100. Sat Oct 4 13:33:26 2025 distribution of cycle lengths:
  101. Sat Oct 4 13:33:26 2025 1 relations: 412549
  102. Sat Oct 4 13:33:26 2025 2 relations: 431642
  103. Sat Oct 4 13:33:26 2025 3 relations: 430897
  104. Sat Oct 4 13:33:26 2025 4 relations: 418263
  105. Sat Oct 4 13:33:26 2025 5 relations: 411951
  106. Sat Oct 4 13:33:26 2025 6 relations: 399380
  107. Sat Oct 4 13:33:26 2025 7 relations: 382445
  108. Sat Oct 4 13:33:26 2025 8 relations: 358474
  109. Sat Oct 4 13:33:26 2025 9 relations: 329998
  110. Sat Oct 4 13:33:26 2025 10+ relations: 1898141
  111. Sat Oct 4 13:33:26 2025 heaviest cycle: 28 relations
  112. Sat Oct 4 13:33:29 2025 commencing cycle optimization
  113. Sat Oct 4 13:33:56 2025 start with 44257462 relations
  114. Sat Oct 4 13:37:45 2025 pruned 1839792 relations
  115. Sat Oct 4 13:37:45 2025 memory use: 1206.5 MB
  116. Sat Oct 4 13:37:45 2025 distribution of cycle lengths:
  117. Sat Oct 4 13:37:45 2025 1 relations: 412549
  118. Sat Oct 4 13:37:45 2025 2 relations: 439601
  119. Sat Oct 4 13:37:45 2025 3 relations: 445610
  120. Sat Oct 4 13:37:45 2025 4 relations: 433173
  121. Sat Oct 4 13:37:45 2025 5 relations: 430700
  122. Sat Oct 4 13:37:45 2025 6 relations: 416354
  123. Sat Oct 4 13:37:45 2025 7 relations: 399909
  124. Sat Oct 4 13:37:45 2025 8 relations: 373763
  125. Sat Oct 4 13:37:45 2025 9 relations: 342967
  126. Sat Oct 4 13:37:45 2025 10+ relations: 1779114
  127. Sat Oct 4 13:37:45 2025 heaviest cycle: 28 relations
  128. Sat Oct 4 13:38:10 2025 RelProcTime: 5794
  129. Sat Oct 4 13:38:10 2025
  130. Sat Oct 4 13:38:10 2025 commencing linear algebra
  131. Sat Oct 4 13:38:10 2025 using VBITS=512
  132. Sat Oct 4 13:38:11 2025 read 5473740 cycles
  133. Sat Oct 4 13:38:41 2025 cycles contain 17994636 unique relations
  134. Sat Oct 4 13:40:46 2025 read 17994636 relations
  135. Sat Oct 4 13:42:04 2025 using 20 quadratic characters above 4294917295
  136. Sat Oct 4 13:43:30 2025 building initial matrix
  137. Sat Oct 4 13:52:19 2025 memory use: 2233.7 MB
  138. Sat Oct 4 13:52:25 2025 read 5473740 cycles
  139. Sat Oct 4 13:52:26 2025 matrix is 5473563 x 5473740 (2198.6 MB) with weight 630843180 (115.25/col)
  140. Sat Oct 4 13:52:26 2025 sparse part has weight 516151226 (94.30/col)
  141. Sat Oct 4 13:54:56 2025 filtering completed in 2 passes
  142. Sat Oct 4 13:54:58 2025 matrix is 5473293 x 5473431 (2198.6 MB) with weight 630833612 (115.25/col)
  143. Sat Oct 4 13:54:58 2025 sparse part has weight 516147884 (94.30/col)
  144. Sat Oct 4 13:55:33 2025 matrix starts at (0, 0)
  145. Sat Oct 4 13:55:34 2025 matrix is 5473293 x 5473431 (2198.6 MB) with weight 630833612 (115.25/col)
  146. Sat Oct 4 13:55:34 2025 sparse part has weight 516147884 (94.30/col)
  147. Sat Oct 4 13:55:34 2025 saving the first 496 matrix rows for later
  148. Sat Oct 4 13:55:38 2025 matrix includes 512 packed rows
  149. Sat Oct 4 13:55:46 2025 matrix is 5472797 x 5473431 (2099.4 MB) with weight 443318437 (80.99/col)
  150. Sat Oct 4 13:55:46 2025 sparse part has weight 418993374 (76.55/col)
  151. Sat Oct 4 18:43:14 2025
  152. Sat Oct 4 18:43:14 2025
  153. Sat Oct 4 18:43:14 2025 Msieve v. 1.54 (SVN unknown)
  154. Sat Oct 4 18:43:14 2025 random seeds: 234ffba9 f23bf5de
  155. Sat Oct 4 18:43:14 2025 factoring 93924115336608262652606403204970336965305604451028884041414226413679629362818216411408744251812777461837663687975321562056635430438945758340220493630895533402263437474255284437887867031 (185 digits)
  156. Sat Oct 4 18:43:15 2025 no P-1/P+1/ECM available, skipping
  157. Sat Oct 4 18:43:15 2025 commencing number field sieve (185-digit input)
  158. Sat Oct 4 18:43:15 2025 R0: 2424735555028687230155603098210017996633690410
  159. Sat Oct 4 18:43:15 2025 R1: -49241603903901091655347
  160. Sat Oct 4 18:43:15 2025 A0: 1
  161. Sat Oct 4 18:43:15 2025 A1: 3
  162. Sat Oct 4 18:43:15 2025 A2: -3
  163. Sat Oct 4 18:43:15 2025 A3: -4
  164. Sat Oct 4 18:43:15 2025 A4: 1
  165. Sat Oct 4 18:43:15 2025 A5: 1
  166. Sat Oct 4 18:43:15 2025 skew 1.47, size 1.894e-15, alpha 2.379, combined = 1.445e-12 rroots = 5
  167. Sat Oct 4 18:43:15 2025
  168. Sat Oct 4 18:43:15 2025 commencing linear algebra
  169. Sat Oct 4 18:43:15 2025 using VBITS=512
  170. Sat Oct 4 18:43:15 2025 skipping matrix build
  171. Sat Oct 4 18:43:19 2025 matrix starts at (0, 0)
  172. Sat Oct 4 18:43:20 2025 matrix is 5473293 x 5473431 (2198.6 MB) with weight 630833612 (115.25/col)
  173. Sat Oct 4 18:43:20 2025 sparse part has weight 516147884 (94.30/col)
  174. Sat Oct 4 18:43:20 2025 saving the first 496 matrix rows for later
  175. Sat Oct 4 18:43:21 2025 matrix includes 512 packed rows
  176. Sat Oct 4 18:43:25 2025 matrix is 5472797 x 5473431 (2099.4 MB) with weight 443318437 (80.99/col)
  177. Sat Oct 4 18:43:25 2025 sparse part has weight 418993374 (76.55/col)
  178. Sat Oct 4 18:43:25 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  179. Sat Oct 4 18:43:25 2025 selected card has CUDA arch 8.6
  180. Sat Oct 4 18:43:54 2025 commencing Lanczos iteration
  181. Sat Oct 4 18:43:55 2025 memory use: 5911.0 MB
  182. Sat Oct 4 18:44:13 2025 linear algebra at 0.3%, ETA 1h46m
  183. Sat Oct 4 18:44:14 2025 checkpointing every 3010000 dimensions
  184. Sat Oct 4 20:45:36 2025 lanczos halted after 10707 iterations (dim = 5472795)
  185. Sat Oct 4 20:46:26 2025 recovered 34 nontrivial dependencies
  186. Sat Oct 4 20:46:27 2025 BLanczosTime: 7392
  187. Sat Oct 4 21:23:33 2025
  188. Sat Oct 4 21:23:33 2025
  189. Sat Oct 4 21:23:33 2025 Msieve v. 1.54 (SVN Unversioned directory)
  190. Sat Oct 4 21:23:33 2025 random seeds: fd60d8a7 a0b0e4cc
  191. Sat Oct 4 21:23:33 2025 factoring 93924115336608262652606403204970336965305604451028884041414226413679629362818216411408744251812777461837663687975321562056635430438945758340220493630895533402263437474255284437887867031 (185 digits)
  192. Sat Oct 4 21:23:34 2025 searching for 15-digit factors
  193. Sat Oct 4 21:23:34 2025 commencing number field sieve (185-digit input)
  194. Sat Oct 4 21:23:34 2025 R0: 2424735555028687230155603098210017996633690410
  195. Sat Oct 4 21:23:34 2025 R1: -49241603903901091655347
  196. Sat Oct 4 21:23:34 2025 A0: 1
  197. Sat Oct 4 21:23:34 2025 A1: 3
  198. Sat Oct 4 21:23:34 2025 A2: -3
  199. Sat Oct 4 21:23:34 2025 A3: -4
  200. Sat Oct 4 21:23:34 2025 A4: 1
  201. Sat Oct 4 21:23:34 2025 A5: 1
  202. Sat Oct 4 21:23:34 2025 skew 1.47, size 1.894e-15, alpha 2.379, combined = 1.445e-12 rroots = 5
  203. Sat Oct 4 21:23:34 2025
  204. Sat Oct 4 21:23:34 2025 commencing square root phase
  205. Sat Oct 4 21:23:34 2025 reading relations for dependency 1
  206. Sat Oct 4 21:23:35 2025 read 2739179 cycles
  207. Sat Oct 4 21:23:48 2025 cycles contain 9001876 unique relations
  208. Sat Oct 4 21:24:57 2025 read 9001876 relations
  209. Sat Oct 4 21:26:29 2025 multiplying 9001876 relations
  210. Sat Oct 4 21:32:53 2025 multiply complete, coefficients have about 220.15 million bits
  211. Sat Oct 4 21:32:55 2025 initial square root is modulo 79539883
  212. Sat Oct 4 21:41:07 2025 GCD is N, no factor found
  213. Sat Oct 4 21:41:07 2025 reading relations for dependency 2
  214. Sat Oct 4 21:41:07 2025 read 2737608 cycles
  215. Sat Oct 4 21:41:17 2025 cycles contain 8999824 unique relations
  216. Sat Oct 4 21:42:11 2025 read 8999824 relations
  217. Sat Oct 4 21:43:34 2025 multiplying 8999824 relations
  218. Sat Oct 4 21:48:56 2025 multiply complete, coefficients have about 220.10 million bits
  219. Sat Oct 4 21:48:58 2025 initial square root is modulo 79184569
  220. Sat Oct 4 21:56:08 2025 GCD is 1, no factor found
  221. Sat Oct 4 21:56:08 2025 reading relations for dependency 3
  222. Sat Oct 4 21:56:08 2025 read 2737723 cycles
  223. Sat Oct 4 21:56:19 2025 cycles contain 9001476 unique relations
  224. Sat Oct 4 21:57:13 2025 read 9001476 relations
  225. Sat Oct 4 21:58:53 2025 multiplying 9001476 relations
  226. Sat Oct 4 22:04:41 2025 multiply complete, coefficients have about 220.14 million bits
  227. Sat Oct 4 22:04:43 2025 initial square root is modulo 79482289
  228. Sat Oct 4 22:10:07 2025 GCD is N, no factor found
  229. Sat Oct 4 22:10:07 2025 reading relations for dependency 4
  230. Sat Oct 4 22:10:07 2025 read 2737432 cycles
  231. Sat Oct 4 22:10:17 2025 cycles contain 8999270 unique relations
  232. Sat Oct 4 22:11:05 2025 read 8999270 relations
  233. Sat Oct 4 22:12:17 2025 multiplying 8999270 relations
  234. Sat Oct 4 22:17:26 2025 multiply complete, coefficients have about 220.08 million bits
  235. Sat Oct 4 22:17:28 2025 initial square root is modulo 79110649
  236. Sat Oct 4 22:23:09 2025 GCD is N, no factor found
  237. Sat Oct 4 22:23:09 2025 reading relations for dependency 5
  238. Sat Oct 4 22:23:09 2025 read 2734790 cycles
  239. Sat Oct 4 22:23:18 2025 cycles contain 8995402 unique relations
  240. Sat Oct 4 22:24:06 2025 read 8995402 relations
  241. Sat Oct 4 22:25:30 2025 multiplying 8995402 relations
  242. Sat Oct 4 22:32:39 2025 multiply complete, coefficients have about 220.00 million bits
  243. Sat Oct 4 22:32:40 2025 initial square root is modulo 78550093
  244. Sat Oct 4 22:37:25 2025 sqrtTime: 4431
  245. Sat Oct 4 22:37:25 2025 p54 factor: 304650300967714788427300057680603844804141203373218703
  246. Sat Oct 4 22:37:25 2025 p132 factor: 308301403406661458344499660091174903115828366901124328677182314502690317663773107163593987145212955899783652428240645042692272672377
  247. Sat Oct 4 22:37:25 2025 elapsed time 01:13:52
  248.  
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