Fri Oct 17 11:46:12 2025 Fri Oct 17 11:46:12 2025 Fri Oct 17 11:46:12 2025 Msieve v. 1.54 (SVN Unversioned directory) Fri Oct 17 11:46:12 2025 random seeds: 81bff011 0e870bd3 Fri Oct 17 11:46:12 2025 factoring 326609260007898104426772907952617030149351164058426144786464443226668895553364520213677191104704076687491344272668046941312854690050578467415846610744280955668184942818781819231271895128878240302598983439255278283347735831961001 (228 digits) Fri Oct 17 11:46:14 2025 searching for 15-digit factors Fri Oct 17 11:46:15 2025 commencing number field sieve (228-digit input) Fri Oct 17 11:46:15 2025 R0: 160836295125646573244078293276697390162 Fri Oct 17 11:46:15 2025 R1: -12682125024050447881 Fri Oct 17 11:46:15 2025 A0: -1 Fri Oct 17 11:46:15 2025 A1: 3 Fri Oct 17 11:46:15 2025 A2: 6 Fri Oct 17 11:46:15 2025 A3: -4 Fri Oct 17 11:46:15 2025 A4: -5 Fri Oct 17 11:46:15 2025 A5: 1 Fri Oct 17 11:46:15 2025 A6: 1 Fri Oct 17 11:46:15 2025 skew 1.37, size 2.733e-11, alpha 3.126, combined = 1.305e-12 rroots = 6 Fri Oct 17 11:46:15 2025 Fri Oct 17 11:46:15 2025 commencing relation filtering Fri Oct 17 11:46:15 2025 setting target matrix density to 104.0 Fri Oct 17 11:46:15 2025 estimated available RAM is 15938.6 MB Fri Oct 17 11:46:15 2025 commencing duplicate removal, pass 1 Fri Oct 17 12:05:43 2025 skipped 9 relations with b > 2^32 Fri Oct 17 12:05:43 2025 skipped 6 relations with composite factors Fri Oct 17 12:05:43 2025 found 4688506 hash collisions in 103552903 relations Fri Oct 17 12:05:43 2025 commencing duplicate removal, pass 2 Fri Oct 17 12:06:38 2025 found 0 duplicates and 103552903 unique relations Fri Oct 17 12:06:38 2025 memory use: 261.2 MB Fri Oct 17 12:06:38 2025 reading ideals above 69926912 Fri Oct 17 12:06:38 2025 commencing singleton removal, initial pass Fri Oct 17 12:21:46 2025 memory use: 2756.0 MB Fri Oct 17 12:21:46 2025 reading all ideals from disk Fri Oct 17 12:21:50 2025 memory use: 1859.5 MB Fri Oct 17 12:21:58 2025 commencing in-memory singleton removal Fri Oct 17 12:22:05 2025 begin with 103552903 relations and 84584928 unique ideals Fri Oct 17 12:23:30 2025 reduce to 70998074 relations and 48947781 ideals in 14 passes Fri Oct 17 12:23:30 2025 max relations containing the same ideal: 44 Fri Oct 17 12:23:38 2025 reading ideals above 720000 Fri Oct 17 12:23:38 2025 commencing singleton removal, initial pass Fri Oct 17 12:37:39 2025 memory use: 1506.0 MB Fri Oct 17 12:37:39 2025 reading all ideals from disk Fri Oct 17 12:37:45 2025 memory use: 2668.8 MB Fri Oct 17 12:37:57 2025 keeping 56822449 ideals with weight <= 200, target excess is 353044 Fri Oct 17 12:38:11 2025 commencing in-memory singleton removal Fri Oct 17 12:38:21 2025 begin with 70998076 relations and 56822449 unique ideals Fri Oct 17 12:38:54 2025 reduce to 70998032 relations and 56822402 ideals in 3 passes Fri Oct 17 12:38:54 2025 max relations containing the same ideal: 200 Fri Oct 17 12:39:49 2025 removing 8536261 relations and 6536261 ideals in 2000000 cliques Fri Oct 17 12:39:53 2025 commencing in-memory singleton removal Fri Oct 17 12:40:02 2025 begin with 62461771 relations and 56822402 unique ideals Fri Oct 17 12:41:28 2025 reduce to 61533834 relations and 49324804 ideals in 9 passes Fri Oct 17 12:41:28 2025 max relations containing the same ideal: 193 Fri Oct 17 12:42:15 2025 removing 6935930 relations and 4935930 ideals in 2000000 cliques Fri Oct 17 12:42:19 2025 commencing in-memory singleton removal Fri Oct 17 12:42:27 2025 begin with 54597904 relations and 49324804 unique ideals Fri Oct 17 12:43:24 2025 reduce to 53935052 relations and 43703784 ideals in 7 passes Fri Oct 17 12:43:24 2025 max relations containing the same ideal: 181 Fri Oct 17 12:44:06 2025 removing 6472196 relations and 4472196 ideals in 2000000 cliques Fri Oct 17 12:44:09 2025 commencing in-memory singleton removal Fri Oct 17 12:44:16 2025 begin with 47462856 relations and 43703784 unique ideals Fri Oct 17 12:45:05 2025 reduce to 46836731 relations and 38583428 ideals in 7 passes Fri Oct 17 12:45:05 2025 max relations containing the same ideal: 162 Fri Oct 17 12:45:41 2025 removing 6266223 relations and 4266223 ideals in 2000000 cliques Fri Oct 17 12:45:45 2025 commencing in-memory singleton removal Fri Oct 17 12:45:51 2025 begin with 40570508 relations and 38583428 unique ideals Fri Oct 17 12:46:33 2025 reduce to 39922331 relations and 33643288 ideals in 7 passes Fri Oct 17 12:46:33 2025 max relations containing the same ideal: 146 Fri Oct 17 12:47:04 2025 removing 6168793 relations and 4168793 ideals in 2000000 cliques Fri Oct 17 12:47:07 2025 commencing in-memory singleton removal Fri Oct 17 12:47:12 2025 begin with 33753538 relations and 33643288 unique ideals Fri Oct 17 12:47:51 2025 reduce to 33042431 relations and 28730682 ideals in 8 passes Fri Oct 17 12:47:51 2025 max relations containing the same ideal: 129 Fri Oct 17 12:48:17 2025 removing 6126723 relations and 4126723 ideals in 2000000 cliques Fri Oct 17 12:48:20 2025 commencing in-memory singleton removal Fri Oct 17 12:48:23 2025 begin with 26915708 relations and 28730682 unique ideals Fri Oct 17 12:48:53 2025 reduce to 26091080 relations and 23733733 ideals in 8 passes Fri Oct 17 12:48:53 2025 max relations containing the same ideal: 109 Fri Oct 17 12:49:14 2025 removing 5976883 relations and 4029068 ideals in 1947815 cliques Fri Oct 17 12:49:16 2025 commencing in-memory singleton removal Fri Oct 17 12:49:19 2025 begin with 20114197 relations and 23733733 unique ideals Fri Oct 17 12:49:47 2025 reduce to 19144827 relations and 18668498 ideals in 10 passes Fri Oct 17 12:49:47 2025 max relations containing the same ideal: 89 Fri Oct 17 12:50:02 2025 removing 411671 relations and 344874 ideals in 66797 cliques Fri Oct 17 12:50:03 2025 commencing in-memory singleton removal Fri Oct 17 12:50:06 2025 begin with 18733156 relations and 18668498 unique ideals Fri Oct 17 12:50:21 2025 reduce to 18726097 relations and 18316542 ideals in 6 passes Fri Oct 17 12:50:21 2025 max relations containing the same ideal: 88 Fri Oct 17 12:50:27 2025 relations with 0 large ideals: 25904 Fri Oct 17 12:50:27 2025 relations with 1 large ideals: 6565 Fri Oct 17 12:50:27 2025 relations with 2 large ideals: 48084 Fri Oct 17 12:50:27 2025 relations with 3 large ideals: 347843 Fri Oct 17 12:50:27 2025 relations with 4 large ideals: 1382871 Fri Oct 17 12:50:27 2025 relations with 5 large ideals: 3276188 Fri Oct 17 12:50:27 2025 relations with 6 large ideals: 4819798 Fri Oct 17 12:50:27 2025 relations with 7+ large ideals: 8818844 Fri Oct 17 12:50:27 2025 commencing 2-way merge Fri Oct 17 12:50:46 2025 reduce to 12329072 relation sets and 11919517 unique ideals Fri Oct 17 12:50:46 2025 commencing full merge Fri Oct 17 12:58:11 2025 memory use: 1686.3 MB Fri Oct 17 12:58:13 2025 found 5805615 cycles, need 5787717 Fri Oct 17 12:58:16 2025 weight of 5787717 cycles is about 602313341 (104.07/cycle) Fri Oct 17 12:58:16 2025 distribution of cycle lengths: Fri Oct 17 12:58:16 2025 1 relations: 328926 Fri Oct 17 12:58:16 2025 2 relations: 419473 Fri Oct 17 12:58:16 2025 3 relations: 465445 Fri Oct 17 12:58:16 2025 4 relations: 471774 Fri Oct 17 12:58:16 2025 5 relations: 468820 Fri Oct 17 12:58:16 2025 6 relations: 451798 Fri Oct 17 12:58:16 2025 7 relations: 428700 Fri Oct 17 12:58:16 2025 8 relations: 398093 Fri Oct 17 12:58:16 2025 9 relations: 360952 Fri Oct 17 12:58:16 2025 10+ relations: 1993736 Fri Oct 17 12:58:16 2025 heaviest cycle: 28 relations Fri Oct 17 12:58:18 2025 commencing cycle optimization Fri Oct 17 12:58:36 2025 start with 47380566 relations Fri Oct 17 13:01:12 2025 pruned 2042757 relations Fri Oct 17 13:01:12 2025 memory use: 1267.2 MB Fri Oct 17 13:01:12 2025 distribution of cycle lengths: Fri Oct 17 13:01:12 2025 1 relations: 328926 Fri Oct 17 13:01:12 2025 2 relations: 428002 Fri Oct 17 13:01:12 2025 3 relations: 483466 Fri Oct 17 13:01:12 2025 4 relations: 489843 Fri Oct 17 13:01:12 2025 5 relations: 490564 Fri Oct 17 13:01:12 2025 6 relations: 471855 Fri Oct 17 13:01:12 2025 7 relations: 449097 Fri Oct 17 13:01:12 2025 8 relations: 414044 Fri Oct 17 13:01:12 2025 9 relations: 373376 Fri Oct 17 13:01:12 2025 10+ relations: 1858544 Fri Oct 17 13:01:12 2025 heaviest cycle: 28 relations Fri Oct 17 13:01:27 2025 RelProcTime: 4512 Fri Oct 17 13:01:27 2025 Fri Oct 17 13:01:27 2025 commencing linear algebra Fri Oct 17 13:01:27 2025 using VBITS=512 Fri Oct 17 13:01:28 2025 read 5787717 cycles Fri Oct 17 13:01:44 2025 cycles contain 18497086 unique relations Fri Oct 17 13:04:05 2025 read 18497086 relations Fri Oct 17 13:04:47 2025 using 20 quadratic characters above 4294917295 Fri Oct 17 13:06:26 2025 building initial matrix Fri Oct 17 13:13:04 2025 memory use: 2277.8 MB Fri Oct 17 13:13:08 2025 read 5787717 cycles Fri Oct 17 13:13:09 2025 matrix is 5787540 x 5787717 (2380.7 MB) with weight 676873878 (116.95/col) Fri Oct 17 13:13:09 2025 sparse part has weight 566215131 (97.83/col) Fri Oct 17 13:14:46 2025 filtering completed in 2 passes Fri Oct 17 13:14:47 2025 matrix is 5787368 x 5787511 (2380.7 MB) with weight 676868626 (116.95/col) Fri Oct 17 13:14:47 2025 sparse part has weight 566213445 (97.83/col) Fri Oct 17 13:15:18 2025 matrix starts at (0, 0) Fri Oct 17 13:15:20 2025 matrix is 5787368 x 5787511 (2380.7 MB) with weight 676868626 (116.95/col) Fri Oct 17 13:15:20 2025 sparse part has weight 566213445 (97.83/col) Fri Oct 17 13:15:20 2025 saving the first 496 matrix rows for later Fri Oct 17 13:15:23 2025 matrix includes 512 packed rows Fri Oct 17 13:15:31 2025 matrix is 5786872 x 5787511 (2280.3 MB) with weight 485531885 (83.89/col) Fri Oct 17 13:15:31 2025 sparse part has weight 458868652 (79.29/col) Fri Oct 17 13:49:18 2025 Fri Oct 17 13:49:18 2025 Fri Oct 17 13:49:18 2025 Msieve v. 1.54 (SVN unknown) Fri Oct 17 13:49:18 2025 random seeds: 632a7dab f4c7acc1 Fri Oct 17 13:49:18 2025 factoring 326609260007898104426772907952617030149351164058426144786464443226668895553364520213677191104704076687491344272668046941312854690050578467415846610744280955668184942818781819231271895128878240302598983439255278283347735831961001 (228 digits) Fri Oct 17 13:49:19 2025 no P-1/P+1/ECM available, skipping Fri Oct 17 13:49:19 2025 commencing number field sieve (228-digit input) Fri Oct 17 13:49:19 2025 R0: 160836295125646573244078293276697390162 Fri Oct 17 13:49:19 2025 R1: -12682125024050447881 Fri Oct 17 13:49:19 2025 A0: -1 Fri Oct 17 13:49:19 2025 A1: 3 Fri Oct 17 13:49:19 2025 A2: 6 Fri Oct 17 13:49:19 2025 A3: -4 Fri Oct 17 13:49:19 2025 A4: -5 Fri Oct 17 13:49:19 2025 A5: 1 Fri Oct 17 13:49:19 2025 A6: 1 Fri Oct 17 13:49:19 2025 skew 1.37, size 2.733e-11, alpha 3.126, combined = 1.305e-12 rroots = 6 Fri Oct 17 13:49:19 2025 Fri Oct 17 13:49:19 2025 commencing linear algebra Fri Oct 17 13:49:19 2025 using VBITS=512 Fri Oct 17 13:49:19 2025 skipping matrix build Fri Oct 17 13:49:23 2025 matrix starts at (0, 0) Fri Oct 17 13:49:24 2025 matrix is 5787368 x 5787511 (2380.7 MB) with weight 676868626 (116.95/col) Fri Oct 17 13:49:24 2025 sparse part has weight 566213445 (97.83/col) Fri Oct 17 13:49:24 2025 saving the first 496 matrix rows for later Fri Oct 17 13:49:25 2025 matrix includes 512 packed rows Fri Oct 17 13:49:29 2025 matrix is 5786872 x 5787511 (2280.3 MB) with weight 485531885 (83.89/col) Fri Oct 17 13:49:29 2025 sparse part has weight 458868652 (79.29/col) Fri Oct 17 13:49:29 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Fri Oct 17 13:49:29 2025 selected card has CUDA arch 8.6 Fri Oct 17 13:50:01 2025 commencing Lanczos iteration Fri Oct 17 13:50:02 2025 memory use: 6371.0 MB Fri Oct 17 13:50:22 2025 linear algebra at 0.3%, ETA 2h 5m Fri Oct 17 13:50:23 2025 checkpointing every 2720000 dimensions Fri Oct 17 16:07:56 2025 lanczos halted after 11321 iterations (dim = 5786871) Fri Oct 17 16:09:08 2025 recovered 33 nontrivial dependencies Fri Oct 17 16:09:08 2025 BLanczosTime: 8389 Fri Oct 17 16:09:08 2025 elapsed time 02:19:50 Fri Oct 17 16:35:23 2025 Fri Oct 17 16:35:23 2025 Fri Oct 17 16:35:23 2025 Msieve v. 1.54 (SVN unknown) Fri Oct 17 16:35:23 2025 random seeds: 70fcef1c fad88ed5 Fri Oct 17 16:35:23 2025 factoring 326609260007898104426772907952617030149351164058426144786464443226668895553364520213677191104704076687491344272668046941312854690050578467415846610744280955668184942818781819231271895128878240302598983439255278283347735831961001 (228 digits) Fri Oct 17 16:35:24 2025 no P-1/P+1/ECM available, skipping Fri Oct 17 16:35:24 2025 commencing number field sieve (228-digit input) Fri Oct 17 16:35:24 2025 R0: 160836295125646573244078293276697390162 Fri Oct 17 16:35:24 2025 R1: -12682125024050447881 Fri Oct 17 16:35:24 2025 A0: -1 Fri Oct 17 16:35:24 2025 A1: 3 Fri Oct 17 16:35:24 2025 A2: 6 Fri Oct 17 16:35:24 2025 A3: -4 Fri Oct 17 16:35:24 2025 A4: -5 Fri Oct 17 16:35:24 2025 A5: 1 Fri Oct 17 16:35:24 2025 A6: 1 Fri Oct 17 16:35:24 2025 skew 1.37, size 2.733e-11, alpha 3.126, combined = 1.305e-12 rroots = 6 Fri Oct 17 16:35:24 2025 Fri Oct 17 16:35:24 2025 commencing square root phase Fri Oct 17 16:35:24 2025 reading relations for dependency 1 Fri Oct 17 16:35:25 2025 read 2891913 cycles Fri Oct 17 16:35:29 2025 cycles contain 9244360 unique relations Fri Oct 17 16:36:11 2025 read 9244360 relations Fri Oct 17 16:36:47 2025 multiplying 9244360 relations Fri Oct 17 16:41:08 2025 multiply complete, coefficients have about 224.54 million bits Fri Oct 17 16:41:09 2025 initial square root is modulo 114312391 Fri Oct 17 16:46:16 2025 sqrtTime: 652 Fri Oct 17 16:46:16 2025 p60 factor: 662239605877786427647641128762691003308844154389911482893017 Fri Oct 17 16:46:16 2025 p168 factor: 493188956246408023826919298818948700692386701552113716134138218061123949963449867462483188450558325764284602529908139585832356804415889894448213240975423231593536278353 Fri Oct 17 16:46:16 2025 elapsed time 00:10:53