Sun Oct 12 09:01:22 2025 Sun Oct 12 09:01:22 2025 Sun Oct 12 09:01:22 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun Oct 12 09:01:22 2025 random seeds: f83e968d 9e7dfc0c Sun Oct 12 09:01:22 2025 factoring 41144815237275536567277126252152329938291021252950106097530937868917216802125702638702770765907083317652013451840944737273968507070373308704679168303428938409465177 (164 digits) Sun Oct 12 09:01:23 2025 searching for 15-digit factors Sun Oct 12 09:01:24 2025 commencing number field sieve (164-digit input) Sun Oct 12 09:01:24 2025 R0: 113357871088738261527971305121485695842 Sun Oct 12 09:01:24 2025 R1: -10646965346460852529 Sun Oct 12 09:01:24 2025 A0: -1 Sun Oct 12 09:01:24 2025 A1: 3 Sun Oct 12 09:01:24 2025 A2: 6 Sun Oct 12 09:01:24 2025 A3: -4 Sun Oct 12 09:01:24 2025 A4: -5 Sun Oct 12 09:01:24 2025 A5: 1 Sun Oct 12 09:01:24 2025 A6: 1 Sun Oct 12 09:01:24 2025 skew 1.37, size 3.020e-11, alpha 3.126, combined = 1.403e-12 rroots = 6 Sun Oct 12 09:01:24 2025 Sun Oct 12 09:01:24 2025 commencing relation filtering Sun Oct 12 09:01:24 2025 setting target matrix density to 104.0 Sun Oct 12 09:01:24 2025 estimated available RAM is 15938.6 MB Sun Oct 12 09:01:24 2025 commencing duplicate removal, pass 1 Sun Oct 12 09:20:54 2025 error -15 reading relation 97997595 Sun Oct 12 09:21:21 2025 skipped 8 relations with b > 2^32 Sun Oct 12 09:21:21 2025 skipped 1 relations with composite factors Sun Oct 12 09:21:21 2025 found 4433521 hash collisions in 100601436 relations Sun Oct 12 09:21:38 2025 added 2438358 free relations Sun Oct 12 09:21:38 2025 commencing duplicate removal, pass 2 Sun Oct 12 09:22:40 2025 found 0 duplicates and 103039794 unique relations Sun Oct 12 09:22:40 2025 memory use: 261.2 MB Sun Oct 12 09:22:40 2025 reading ideals above 69926912 Sun Oct 12 09:22:40 2025 commencing singleton removal, initial pass Sun Oct 12 09:40:01 2025 memory use: 2756.0 MB Sun Oct 12 09:40:01 2025 reading all ideals from disk Sun Oct 12 09:40:06 2025 memory use: 1846.7 MB Sun Oct 12 09:40:16 2025 commencing in-memory singleton removal Sun Oct 12 09:40:26 2025 begin with 103039794 relations and 84372440 unique ideals Sun Oct 12 09:42:09 2025 reduce to 70255161 relations and 48447882 ideals in 14 passes Sun Oct 12 09:42:09 2025 max relations containing the same ideal: 45 Sun Oct 12 09:42:18 2025 reading ideals above 720000 Sun Oct 12 09:42:19 2025 commencing singleton removal, initial pass Sun Oct 12 09:58:50 2025 memory use: 1506.0 MB Sun Oct 12 09:58:50 2025 reading all ideals from disk Sun Oct 12 09:58:58 2025 memory use: 2637.7 MB Sun Oct 12 09:59:13 2025 keeping 56327205 ideals with weight <= 200, target excess is 348380 Sun Oct 12 09:59:30 2025 commencing in-memory singleton removal Sun Oct 12 09:59:43 2025 begin with 70255161 relations and 56327205 unique ideals Sun Oct 12 10:00:51 2025 reduce to 70255008 relations and 56327052 ideals in 5 passes Sun Oct 12 10:00:51 2025 max relations containing the same ideal: 200 Sun Oct 12 10:01:58 2025 removing 8557687 relations and 6557687 ideals in 2000000 cliques Sun Oct 12 10:02:03 2025 commencing in-memory singleton removal Sun Oct 12 10:02:15 2025 begin with 61697321 relations and 56327052 unique ideals Sun Oct 12 10:03:52 2025 reduce to 60751674 relations and 48789384 ideals in 8 passes Sun Oct 12 10:03:52 2025 max relations containing the same ideal: 193 Sun Oct 12 10:04:51 2025 removing 6960076 relations and 4960076 ideals in 2000000 cliques Sun Oct 12 10:04:56 2025 commencing in-memory singleton removal Sun Oct 12 10:05:06 2025 begin with 53791598 relations and 48789384 unique ideals Sun Oct 12 10:06:27 2025 reduce to 53115231 relations and 43129979 ideals in 8 passes Sun Oct 12 10:06:27 2025 max relations containing the same ideal: 176 Sun Oct 12 10:07:18 2025 removing 6493262 relations and 4493262 ideals in 2000000 cliques Sun Oct 12 10:07:22 2025 commencing in-memory singleton removal Sun Oct 12 10:07:31 2025 begin with 46621969 relations and 43129979 unique ideals Sun Oct 12 10:08:43 2025 reduce to 45982371 relations and 37974080 ideals in 8 passes Sun Oct 12 10:08:43 2025 max relations containing the same ideal: 162 Sun Oct 12 10:09:28 2025 removing 6285457 relations and 4285457 ideals in 2000000 cliques Sun Oct 12 10:09:32 2025 commencing in-memory singleton removal Sun Oct 12 10:09:39 2025 begin with 39696914 relations and 37974080 unique ideals Sun Oct 12 10:10:46 2025 reduce to 39031319 relations and 32996042 ideals in 9 passes Sun Oct 12 10:10:46 2025 max relations containing the same ideal: 144 Sun Oct 12 10:11:24 2025 removing 6191493 relations and 4191493 ideals in 2000000 cliques Sun Oct 12 10:11:28 2025 commencing in-memory singleton removal Sun Oct 12 10:11:33 2025 begin with 32839826 relations and 32996042 unique ideals Sun Oct 12 10:12:21 2025 reduce to 32104582 relations and 28034671 ideals in 8 passes Sun Oct 12 10:12:21 2025 max relations containing the same ideal: 128 Sun Oct 12 10:12:53 2025 removing 6147557 relations and 4147557 ideals in 2000000 cliques Sun Oct 12 10:12:57 2025 commencing in-memory singleton removal Sun Oct 12 10:13:02 2025 begin with 25957025 relations and 28034671 unique ideals Sun Oct 12 10:13:39 2025 reduce to 25103976 relations and 22986017 ideals in 8 passes Sun Oct 12 10:13:39 2025 max relations containing the same ideal: 109 Sun Oct 12 10:14:04 2025 removing 5409491 relations and 3695653 ideals in 1713838 cliques Sun Oct 12 10:14:07 2025 commencing in-memory singleton removal Sun Oct 12 10:14:10 2025 begin with 19694485 relations and 22986017 unique ideals Sun Oct 12 10:14:40 2025 reduce to 18856775 relations and 18400309 ideals in 9 passes Sun Oct 12 10:14:40 2025 max relations containing the same ideal: 87 Sun Oct 12 10:14:59 2025 removing 331814 relations and 279469 ideals in 52345 cliques Sun Oct 12 10:15:00 2025 commencing in-memory singleton removal Sun Oct 12 10:15:03 2025 begin with 18524961 relations and 18400309 unique ideals Sun Oct 12 10:15:26 2025 reduce to 18520239 relations and 18116105 ideals in 7 passes Sun Oct 12 10:15:26 2025 max relations containing the same ideal: 86 Sun Oct 12 10:15:33 2025 relations with 0 large ideals: 25483 Sun Oct 12 10:15:33 2025 relations with 1 large ideals: 6600 Sun Oct 12 10:15:33 2025 relations with 2 large ideals: 46921 Sun Oct 12 10:15:33 2025 relations with 3 large ideals: 339153 Sun Oct 12 10:15:33 2025 relations with 4 large ideals: 1361052 Sun Oct 12 10:15:33 2025 relations with 5 large ideals: 3231542 Sun Oct 12 10:15:33 2025 relations with 6 large ideals: 4770738 Sun Oct 12 10:15:33 2025 relations with 7+ large ideals: 8738750 Sun Oct 12 10:15:33 2025 commencing 2-way merge Sun Oct 12 10:15:57 2025 reduce to 12165263 relation sets and 11761129 unique ideals Sun Oct 12 10:15:57 2025 commencing full merge Sun Oct 12 10:25:14 2025 memory use: 1669.4 MB Sun Oct 12 10:25:17 2025 found 5733250 cycles, need 5715329 Sun Oct 12 10:25:20 2025 weight of 5715329 cycles is about 594715238 (104.06/cycle) Sun Oct 12 10:25:20 2025 distribution of cycle lengths: Sun Oct 12 10:25:20 2025 1 relations: 328383 Sun Oct 12 10:25:20 2025 2 relations: 415751 Sun Oct 12 10:25:20 2025 3 relations: 460145 Sun Oct 12 10:25:20 2025 4 relations: 462520 Sun Oct 12 10:25:20 2025 5 relations: 459408 Sun Oct 12 10:25:20 2025 6 relations: 444741 Sun Oct 12 10:25:20 2025 7 relations: 422046 Sun Oct 12 10:25:20 2025 8 relations: 391945 Sun Oct 12 10:25:20 2025 9 relations: 356823 Sun Oct 12 10:25:20 2025 10+ relations: 1973567 Sun Oct 12 10:25:20 2025 heaviest cycle: 28 relations Sun Oct 12 10:25:24 2025 commencing cycle optimization Sun Oct 12 10:25:47 2025 start with 46794748 relations Sun Oct 12 10:29:01 2025 pruned 2013847 relations Sun Oct 12 10:29:01 2025 memory use: 1252.4 MB Sun Oct 12 10:29:01 2025 distribution of cycle lengths: Sun Oct 12 10:29:01 2025 1 relations: 328383 Sun Oct 12 10:29:01 2025 2 relations: 424423 Sun Oct 12 10:29:01 2025 3 relations: 477992 Sun Oct 12 10:29:01 2025 4 relations: 479586 Sun Oct 12 10:29:01 2025 5 relations: 480715 Sun Oct 12 10:29:01 2025 6 relations: 464576 Sun Oct 12 10:29:01 2025 7 relations: 442003 Sun Oct 12 10:29:01 2025 8 relations: 407844 Sun Oct 12 10:29:01 2025 9 relations: 370205 Sun Oct 12 10:29:01 2025 10+ relations: 1839602 Sun Oct 12 10:29:01 2025 heaviest cycle: 28 relations Sun Oct 12 10:29:19 2025 RelProcTime: 5275 Sun Oct 12 10:29:19 2025 Sun Oct 12 10:29:19 2025 commencing linear algebra Sun Oct 12 10:29:19 2025 using VBITS=512 Sun Oct 12 10:29:20 2025 read 5715329 cycles Sun Oct 12 10:29:41 2025 cycles contain 18293232 unique relations Sun Oct 12 10:32:32 2025 read 18293232 relations Sun Oct 12 10:33:25 2025 using 20 quadratic characters above 4294917295 Sun Oct 12 10:35:30 2025 building initial matrix Sun Oct 12 10:44:23 2025 memory use: 2250.8 MB Sun Oct 12 10:44:31 2025 read 5715329 cycles Sun Oct 12 10:44:32 2025 matrix is 5715152 x 5715329 (2350.4 MB) with weight 667267713 (116.75/col) Sun Oct 12 10:44:32 2025 sparse part has weight 558988930 (97.81/col) Sun Oct 12 10:46:33 2025 filtering completed in 2 passes Sun Oct 12 10:46:35 2025 matrix is 5714960 x 5715102 (2350.4 MB) with weight 667260787 (116.75/col) Sun Oct 12 10:46:35 2025 sparse part has weight 558986178 (97.81/col) Sun Oct 12 10:47:07 2025 matrix starts at (0, 0) Sun Oct 12 10:47:08 2025 matrix is 5714960 x 5715102 (2350.4 MB) with weight 667260787 (116.75/col) Sun Oct 12 10:47:08 2025 sparse part has weight 558986178 (97.81/col) Sun Oct 12 10:47:08 2025 saving the first 496 matrix rows for later Sun Oct 12 10:47:12 2025 matrix includes 512 packed rows Sun Oct 12 10:47:21 2025 matrix is 5714464 x 5715102 (2249.5 MB) with weight 478851174 (83.79/col) Sun Oct 12 10:47:21 2025 sparse part has weight 452525176 (79.18/col) Sun Oct 12 11:57:35 2025 Sun Oct 12 11:57:35 2025 Sun Oct 12 11:57:35 2025 Msieve v. 1.54 (SVN unknown) Sun Oct 12 11:57:35 2025 random seeds: c767f70a bf4c30a2 Sun Oct 12 11:57:35 2025 factoring 41144815237275536567277126252152329938291021252950106097530937868917216802125702638702770765907083317652013451840944737273968507070373308704679168303428938409465177 (164 digits) Sun Oct 12 11:57:36 2025 no P-1/P+1/ECM available, skipping Sun Oct 12 11:57:36 2025 commencing number field sieve (164-digit input) Sun Oct 12 11:57:36 2025 R0: 113357871088738261527971305121485695842 Sun Oct 12 11:57:36 2025 R1: -10646965346460852529 Sun Oct 12 11:57:36 2025 A0: -1 Sun Oct 12 11:57:36 2025 A1: 3 Sun Oct 12 11:57:36 2025 A2: 6 Sun Oct 12 11:57:36 2025 A3: -4 Sun Oct 12 11:57:36 2025 A4: -5 Sun Oct 12 11:57:36 2025 A5: 1 Sun Oct 12 11:57:36 2025 A6: 1 Sun Oct 12 11:57:36 2025 skew 1.37, size 3.020e-11, alpha 3.126, combined = 1.403e-12 rroots = 6 Sun Oct 12 11:57:36 2025 Sun Oct 12 11:57:36 2025 commencing linear algebra Sun Oct 12 11:57:36 2025 using VBITS=512 Sun Oct 12 11:57:36 2025 skipping matrix build Sun Oct 12 11:57:37 2025 matrix starts at (0, 0) Sun Oct 12 11:57:38 2025 matrix is 5714960 x 5715102 (2350.4 MB) with weight 667260787 (116.75/col) Sun Oct 12 11:57:38 2025 sparse part has weight 558986178 (97.81/col) Sun Oct 12 11:57:38 2025 saving the first 496 matrix rows for later Sun Oct 12 11:57:39 2025 matrix includes 512 packed rows Sun Oct 12 11:57:43 2025 matrix is 5714464 x 5715102 (2249.5 MB) with weight 478851174 (83.79/col) Sun Oct 12 11:57:43 2025 sparse part has weight 452525176 (79.18/col) Sun Oct 12 11:57:43 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Sun Oct 12 11:57:43 2025 selected card has CUDA arch 8.6 Sun Oct 12 11:58:16 2025 commencing Lanczos iteration Sun Oct 12 11:58:16 2025 memory use: 6308.5 MB Sun Oct 12 11:58:36 2025 linear algebra at 0.3%, ETA 1h57m Sun Oct 12 11:58:37 2025 checkpointing every 2860000 dimensions Sun Oct 12 14:11:56 2025 lanczos halted after 11179 iterations (dim = 5714462) Sun Oct 12 14:13:16 2025 recovered 33 nontrivial dependencies Sun Oct 12 14:13:16 2025 BLanczosTime: 8140 Sun Oct 12 14:13:16 2025 elapsed time 02:15:41 Sun Oct 12 14:58:14 2025 Sun Oct 12 14:58:14 2025 Sun Oct 12 14:58:14 2025 Msieve v. 1.54 (SVN unknown) Sun Oct 12 14:58:14 2025 random seeds: c1f00786 7b4f9478 Sun Oct 12 14:58:14 2025 factoring 41144815237275536567277126252152329938291021252950106097530937868917216802125702638702770765907083317652013451840944737273968507070373308704679168303428938409465177 (164 digits) Sun Oct 12 14:58:14 2025 no P-1/P+1/ECM available, skipping Sun Oct 12 14:58:14 2025 commencing number field sieve (164-digit input) Sun Oct 12 14:58:14 2025 R0: 113357871088738261527971305121485695842 Sun Oct 12 14:58:14 2025 R1: -10646965346460852529 Sun Oct 12 14:58:14 2025 A0: -1 Sun Oct 12 14:58:14 2025 A1: 3 Sun Oct 12 14:58:14 2025 A2: 6 Sun Oct 12 14:58:14 2025 A3: -4 Sun Oct 12 14:58:14 2025 A4: -5 Sun Oct 12 14:58:14 2025 A5: 1 Sun Oct 12 14:58:14 2025 A6: 1 Sun Oct 12 14:58:14 2025 skew 1.37, size 3.020e-11, alpha 3.126, combined = 1.403e-12 rroots = 6 Sun Oct 12 14:58:14 2025 Sun Oct 12 14:58:14 2025 commencing square root phase Sun Oct 12 14:58:14 2025 reading relations for dependency 1 Sun Oct 12 14:58:15 2025 read 2857323 cycles Sun Oct 12 14:58:19 2025 cycles contain 9147142 unique relations Sun Oct 12 14:59:00 2025 read 9147142 relations Sun Oct 12 14:59:34 2025 multiplying 9147142 relations Sun Oct 12 15:03:55 2025 multiply complete, coefficients have about 222.07 million bits Sun Oct 12 15:03:56 2025 initial square root is modulo 93182273 Sun Oct 12 15:08:44 2025 sqrtTime: 630 Sun Oct 12 15:08:44 2025 p60 factor: 448155646675728475954655142831882457387691157703693096566671 Sun Oct 12 15:08:44 2025 p104 factor: 91809208569554515847757474662572222008015731537798307478010390951213139134819406688650701849918897268887 Sun Oct 12 15:08:44 2025 elapsed time 00:10:30