Sat Aug 9 09:17:31 2025 Sat Aug 9 09:17:31 2025 Sat Aug 9 09:17:31 2025 Msieve v. 1.54 (SVN 1044M) Sat Aug 9 09:17:31 2025 random seeds: 8a0ff5b7 62df8499 Sat Aug 9 09:17:31 2025 factoring 31239049071658361635779516094529842524905466983640222304615166184919326082951429874746221280764264240232695538259292275313953556669506605098936622318528716395019685118684117852994700471855797994261109168208384359 (212 digits) Sat Aug 9 09:17:32 2025 searching for 15-digit factors Sat Aug 9 09:17:33 2025 commencing number field sieve (212-digit input) Sat Aug 9 09:17:33 2025 R0: 11340810550840789168644399818540761770980642 Sat Aug 9 09:17:33 2025 R1: -3367611995292924058129 Sat Aug 9 09:17:33 2025 A0: -1 Sat Aug 9 09:17:33 2025 A1: 3 Sat Aug 9 09:17:33 2025 A2: 6 Sat Aug 9 09:17:33 2025 A3: -4 Sat Aug 9 09:17:33 2025 A4: -5 Sat Aug 9 09:17:33 2025 A5: 1 Sat Aug 9 09:17:33 2025 A6: 1 Sat Aug 9 09:17:33 2025 skew 1.38, size 1.126e-12, alpha 3.126, combined = 1.239e-13 rroots = 6 Sat Aug 9 09:17:33 2025 Sat Aug 9 09:17:33 2025 commencing linear algebra Sat Aug 9 09:17:34 2025 read 10865467 cycles Sat Aug 9 09:18:09 2025 cycles contain 41292715 unique relations Sat Aug 9 09:20:18 2025 read 41292715 relations Sat Aug 9 09:22:13 2025 using 20 quadratic characters above 4294917295 Sat Aug 9 09:25:07 2025 building initial matrix Sat Aug 9 09:37:49 2025 memory use: 5228.0 MB Sat Aug 9 09:37:57 2025 read 10865467 cycles Sat Aug 9 09:38:00 2025 matrix is 10865368 x 10865467 (7087.3 MB) with weight 1974120045 (181.69/col) Sat Aug 9 09:38:00 2025 sparse part has weight 1749242687 (160.99/col) Sat Aug 9 09:40:51 2025 filtering completed in 1 passes Sat Aug 9 09:40:53 2025 matrix is 10865368 x 10865467 (7087.3 MB) with weight 1974120045 (181.69/col) Sat Aug 9 09:40:53 2025 sparse part has weight 1749242687 (160.99/col) Sat Aug 9 09:41:57 2025 matrix starts at (0, 0) Sat Aug 9 09:41:59 2025 matrix is 10865368 x 10865467 (7087.3 MB) with weight 1974120045 (181.69/col) Sat Aug 9 09:41:59 2025 sparse part has weight 1749242687 (160.99/col) Sat Aug 9 09:41:59 2025 saving the first 112 matrix rows for later Sat Aug 9 09:42:04 2025 matrix includes 128 packed rows Sat Aug 9 09:42:09 2025 matrix is 10865256 x 10865467 (6594.8 MB) with weight 1680482703 (154.66/col) Sat Aug 9 09:42:09 2025 sparse part has weight 1598410365 (147.11/col) Sat Aug 9 09:42:09 2025 using block size 8192 and superblock size 393216 for processor cache size 8192 kB Sat Aug 9 09:42:56 2025 commencing Lanczos iteration (4 threads) Sat Aug 9 09:42:56 2025 memory use: 6931.5 MB Sat Aug 9 09:44:18 2025 linear algebra at 0.0%, ETA 150h29m Sat Aug 9 09:44:42 2025 checkpointing every 80000 dimensions Thu Aug 14 02:59:52 2025 lanczos halted after 85400 iterations (dim = 10865253) Thu Aug 14 03:00:11 2025 recovered 33 nontrivial dependencies Thu Aug 14 03:00:12 2025 BLanczosTime: 409359 Thu Aug 14 03:00:12 2025 elapsed time 113:42:41 Thu Aug 14 03:55:07 2025 Thu Aug 14 03:55:07 2025 Thu Aug 14 03:55:07 2025 Msieve v. 1.54 (SVN 1044M) Thu Aug 14 03:55:07 2025 random seeds: 82754daf abea1369 Thu Aug 14 03:55:07 2025 factoring 31239049071658361635779516094529842524905466983640222304615166184919326082951429874746221280764264240232695538259292275313953556669506605098936622318528716395019685118684117852994700471855797994261109168208384359 (212 digits) Thu Aug 14 03:55:08 2025 searching for 15-digit factors Thu Aug 14 03:55:08 2025 commencing number field sieve (212-digit input) Thu Aug 14 03:55:08 2025 R0: 11340810550840789168644399818540761770980642 Thu Aug 14 03:55:08 2025 R1: -3367611995292924058129 Thu Aug 14 03:55:08 2025 A0: -1 Thu Aug 14 03:55:08 2025 A1: 3 Thu Aug 14 03:55:08 2025 A2: 6 Thu Aug 14 03:55:08 2025 A3: -4 Thu Aug 14 03:55:08 2025 A4: -5 Thu Aug 14 03:55:08 2025 A5: 1 Thu Aug 14 03:55:08 2025 A6: 1 Thu Aug 14 03:55:08 2025 skew 1.38, size 1.126e-12, alpha 3.126, combined = 1.239e-13 rroots = 6 Thu Aug 14 03:55:08 2025 Thu Aug 14 03:55:08 2025 commencing square root phase Thu Aug 14 03:55:08 2025 reading relations for dependency 1 Thu Aug 14 03:55:09 2025 read 5431411 cycles Thu Aug 14 03:55:22 2025 cycles contain 20641758 unique relations Thu Aug 14 03:56:30 2025 read 20641758 relations Thu Aug 14 03:58:10 2025 multiplying 20641758 relations Thu Aug 14 04:18:10 2025 multiply complete, coefficients have about 531.34 million bits Thu Aug 14 04:18:14 2025 initial square root is modulo 58481 Thu Aug 14 04:42:31 2025 GCD is 1, no factor found Thu Aug 14 04:42:31 2025 reading relations for dependency 2 Thu Aug 14 04:42:33 2025 read 5434064 cycles Thu Aug 14 04:42:51 2025 cycles contain 20646122 unique relations Thu Aug 14 04:44:17 2025 read 20646122 relations Thu Aug 14 04:46:03 2025 multiplying 20646122 relations Thu Aug 14 05:00:45 2025 multiply complete, coefficients have about 531.46 million bits Thu Aug 14 05:00:49 2025 initial square root is modulo 58693 Thu Aug 14 05:18:10 2025 sqrtTime: 4982 Thu Aug 14 05:18:10 2025 p73 factor: 4019124989106101970849049810211730842289622527755280981365206985620815893 Thu Aug 14 05:18:10 2025 p139 factor: 7772599547496599017853956618959406075493128273936990799507863051249098253858167572559091266500321339179182570155705904295412465831788506763 Thu Aug 14 05:18:10 2025 elapsed time 01:23:03