Sun Aug 31 19:11:02 2025 Sun Aug 31 19:11:02 2025 Sun Aug 31 19:11:02 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun Aug 31 19:11:02 2025 random seeds: 83b99f48 0c7a7d3a Sun Aug 31 19:11:02 2025 factoring 6534506152792521483348877144818526153707353434466508197724531153338985107693117315452696491483913974620691453507267112735314045394467403870220532317732522228886866795668549210662325639874502841001983901239043752600618172113 (223 digits) Sun Aug 31 19:11:03 2025 searching for 15-digit factors Sun Aug 31 19:11:04 2025 commencing number field sieve (223-digit input) Sun Aug 31 19:11:04 2025 R0: 13673156831674575282751232792517476402 Sun Aug 31 19:11:04 2025 R1: -3697723195653586951 Sun Aug 31 19:11:04 2025 A0: -1 Sun Aug 31 19:11:04 2025 A1: 3 Sun Aug 31 19:11:04 2025 A2: 6 Sun Aug 31 19:11:04 2025 A3: -4 Sun Aug 31 19:11:04 2025 A4: -5 Sun Aug 31 19:11:04 2025 A5: 1 Sun Aug 31 19:11:04 2025 A6: 1 Sun Aug 31 19:11:04 2025 skew 1.37, size 5.527e-11, alpha 3.126, combined = 2.167e-12 rroots = 6 Sun Aug 31 19:11:04 2025 Sun Aug 31 19:11:04 2025 commencing relation filtering Sun Aug 31 19:11:04 2025 setting target matrix density to 120.0 Sun Aug 31 19:11:04 2025 estimated available RAM is 15938.6 MB Sun Aug 31 19:11:04 2025 commencing duplicate removal, pass 1 Sun Aug 31 19:26:48 2025 error -15 reading relation 96579643 Sun Aug 31 19:28:56 2025 skipped 2 relations with b > 2^32 Sun Aug 31 19:28:56 2025 found 5350778 hash collisions in 110873179 relations Sun Aug 31 19:29:11 2025 added 2438358 free relations Sun Aug 31 19:29:11 2025 commencing duplicate removal, pass 2 Sun Aug 31 19:30:07 2025 found 0 duplicates and 113311537 unique relations Sun Aug 31 19:30:07 2025 memory use: 378.4 MB Sun Aug 31 19:30:07 2025 reading ideals above 65994752 Sun Aug 31 19:30:07 2025 commencing singleton removal, initial pass Sun Aug 31 19:44:42 2025 memory use: 2756.0 MB Sun Aug 31 19:44:42 2025 reading all ideals from disk Sun Aug 31 19:44:47 2025 memory use: 1963.2 MB Sun Aug 31 19:44:55 2025 commencing in-memory singleton removal Sun Aug 31 19:45:04 2025 begin with 113311537 relations and 85151615 unique ideals Sun Aug 31 19:46:37 2025 reduce to 82656411 relations and 51971393 ideals in 12 passes Sun Aug 31 19:46:37 2025 max relations containing the same ideal: 50 Sun Aug 31 19:46:47 2025 reading ideals above 720000 Sun Aug 31 19:46:47 2025 commencing singleton removal, initial pass Sun Aug 31 20:02:15 2025 memory use: 1506.0 MB Sun Aug 31 20:02:15 2025 reading all ideals from disk Sun Aug 31 20:02:21 2025 memory use: 3064.3 MB Sun Aug 31 20:02:37 2025 keeping 59343127 ideals with weight <= 200, target excess is 419412 Sun Aug 31 20:02:55 2025 commencing in-memory singleton removal Sun Aug 31 20:03:08 2025 begin with 82656411 relations and 59343127 unique ideals Sun Aug 31 20:03:23 2025 reduce to 82656411 relations and 59343127 ideals in 1 passes Sun Aug 31 20:03:23 2025 max relations containing the same ideal: 200 Sun Aug 31 20:04:29 2025 removing 7539204 relations and 5539204 ideals in 2000000 cliques Sun Aug 31 20:04:33 2025 commencing in-memory singleton removal Sun Aug 31 20:04:45 2025 begin with 75117207 relations and 59343127 unique ideals Sun Aug 31 20:06:23 2025 reduce to 74542502 relations and 53211928 ideals in 8 passes Sun Aug 31 20:06:23 2025 max relations containing the same ideal: 194 Sun Aug 31 20:07:22 2025 removing 6163827 relations and 4163827 ideals in 2000000 cliques Sun Aug 31 20:07:27 2025 commencing in-memory singleton removal Sun Aug 31 20:07:37 2025 begin with 68378675 relations and 53211928 unique ideals Sun Aug 31 20:08:55 2025 reduce to 67983067 relations and 48641685 ideals in 7 passes Sun Aug 31 20:08:55 2025 max relations containing the same ideal: 187 Sun Aug 31 20:09:49 2025 removing 5746648 relations and 3746648 ideals in 2000000 cliques Sun Aug 31 20:09:53 2025 commencing in-memory singleton removal Sun Aug 31 20:10:02 2025 begin with 62236419 relations and 48641685 unique ideals Sun Aug 31 20:11:12 2025 reduce to 61890057 relations and 44538772 ideals in 7 passes Sun Aug 31 20:11:12 2025 max relations containing the same ideal: 179 Sun Aug 31 20:11:59 2025 removing 5527661 relations and 3527661 ideals in 2000000 cliques Sun Aug 31 20:12:02 2025 commencing in-memory singleton removal Sun Aug 31 20:12:11 2025 begin with 56362396 relations and 44538772 unique ideals Sun Aug 31 20:13:03 2025 reduce to 56032092 relations and 40670932 ideals in 6 passes Sun Aug 31 20:13:03 2025 max relations containing the same ideal: 169 Sun Aug 31 20:13:46 2025 removing 5394979 relations and 3394979 ideals in 2000000 cliques Sun Aug 31 20:13:50 2025 commencing in-memory singleton removal Sun Aug 31 20:13:56 2025 begin with 50637113 relations and 40670932 unique ideals Sun Aug 31 20:14:45 2025 reduce to 50310557 relations and 36939040 ideals in 6 passes Sun Aug 31 20:14:45 2025 max relations containing the same ideal: 153 Sun Aug 31 20:15:23 2025 removing 5302828 relations and 3302828 ideals in 2000000 cliques Sun Aug 31 20:15:26 2025 commencing in-memory singleton removal Sun Aug 31 20:15:33 2025 begin with 45007729 relations and 36939040 unique ideals Sun Aug 31 20:16:14 2025 reduce to 44672660 relations and 33289720 ideals in 6 passes Sun Aug 31 20:16:14 2025 max relations containing the same ideal: 140 Sun Aug 31 20:16:47 2025 removing 5240795 relations and 3240795 ideals in 2000000 cliques Sun Aug 31 20:16:50 2025 commencing in-memory singleton removal Sun Aug 31 20:16:56 2025 begin with 39431865 relations and 33289720 unique ideals Sun Aug 31 20:17:30 2025 reduce to 39076661 relations and 29679936 ideals in 6 passes Sun Aug 31 20:17:30 2025 max relations containing the same ideal: 128 Sun Aug 31 20:18:00 2025 removing 5197826 relations and 3197826 ideals in 2000000 cliques Sun Aug 31 20:18:03 2025 commencing in-memory singleton removal Sun Aug 31 20:18:07 2025 begin with 33878835 relations and 29679936 unique ideals Sun Aug 31 20:18:38 2025 reduce to 33496546 relations and 26083293 ideals in 6 passes Sun Aug 31 20:18:38 2025 max relations containing the same ideal: 120 Sun Aug 31 20:19:04 2025 removing 5168181 relations and 3168181 ideals in 2000000 cliques Sun Aug 31 20:19:07 2025 commencing in-memory singleton removal Sun Aug 31 20:19:11 2025 begin with 28328365 relations and 26083293 unique ideals Sun Aug 31 20:19:39 2025 reduce to 27902356 relations and 22467913 ideals in 7 passes Sun Aug 31 20:19:39 2025 max relations containing the same ideal: 105 Sun Aug 31 20:20:01 2025 removing 5140677 relations and 3140677 ideals in 2000000 cliques Sun Aug 31 20:20:04 2025 commencing in-memory singleton removal Sun Aug 31 20:20:07 2025 begin with 22761679 relations and 22467913 unique ideals Sun Aug 31 20:20:28 2025 reduce to 22274231 relations and 18811106 ideals in 6 passes Sun Aug 31 20:20:28 2025 max relations containing the same ideal: 92 Sun Aug 31 20:20:45 2025 removing 5107280 relations and 3107280 ideals in 2000000 cliques Sun Aug 31 20:20:47 2025 commencing in-memory singleton removal Sun Aug 31 20:20:50 2025 begin with 17166951 relations and 18811106 unique ideals Sun Aug 31 20:21:08 2025 reduce to 16581164 relations and 15074922 ideals in 8 passes Sun Aug 31 20:21:08 2025 max relations containing the same ideal: 74 Sun Aug 31 20:21:21 2025 removing 2845938 relations and 1826214 ideals in 1019724 cliques Sun Aug 31 20:21:23 2025 commencing in-memory singleton removal Sun Aug 31 20:21:25 2025 begin with 13735226 relations and 15074922 unique ideals Sun Aug 31 20:21:40 2025 reduce to 13383569 relations and 12876666 ideals in 8 passes Sun Aug 31 20:21:40 2025 max relations containing the same ideal: 63 Sun Aug 31 20:21:51 2025 removing 108183 relations and 87798 ideals in 20385 cliques Sun Aug 31 20:21:52 2025 commencing in-memory singleton removal Sun Aug 31 20:21:53 2025 begin with 13275386 relations and 12876666 unique ideals Sun Aug 31 20:22:02 2025 reduce to 13274438 relations and 12787919 ideals in 5 passes Sun Aug 31 20:22:02 2025 max relations containing the same ideal: 61 Sun Aug 31 20:22:07 2025 relations with 0 large ideals: 31137 Sun Aug 31 20:22:07 2025 relations with 1 large ideals: 9996 Sun Aug 31 20:22:07 2025 relations with 2 large ideals: 91024 Sun Aug 31 20:22:07 2025 relations with 3 large ideals: 536274 Sun Aug 31 20:22:07 2025 relations with 4 large ideals: 1683969 Sun Aug 31 20:22:07 2025 relations with 5 large ideals: 3077659 Sun Aug 31 20:22:07 2025 relations with 6 large ideals: 3475381 Sun Aug 31 20:22:07 2025 relations with 7+ large ideals: 4368998 Sun Aug 31 20:22:07 2025 commencing 2-way merge Sun Aug 31 20:22:20 2025 reduce to 9331334 relation sets and 8844815 unique ideals Sun Aug 31 20:22:20 2025 commencing full merge Sun Aug 31 20:28:34 2025 memory use: 1217.6 MB Sun Aug 31 20:28:35 2025 found 4179066 cycles, need 4173015 Sun Aug 31 20:28:38 2025 weight of 4173015 cycles is about 501585221 (120.20/cycle) Sun Aug 31 20:28:38 2025 distribution of cycle lengths: Sun Aug 31 20:28:38 2025 1 relations: 115324 Sun Aug 31 20:28:38 2025 2 relations: 193113 Sun Aug 31 20:28:38 2025 3 relations: 259951 Sun Aug 31 20:28:38 2025 4 relations: 288869 Sun Aug 31 20:28:38 2025 5 relations: 312245 Sun Aug 31 20:28:38 2025 6 relations: 317709 Sun Aug 31 20:28:38 2025 7 relations: 315043 Sun Aug 31 20:28:38 2025 8 relations: 302684 Sun Aug 31 20:28:38 2025 9 relations: 284224 Sun Aug 31 20:28:38 2025 10+ relations: 1783853 Sun Aug 31 20:28:38 2025 heaviest cycle: 28 relations Sun Aug 31 20:28:40 2025 commencing cycle optimization Sun Aug 31 20:28:57 2025 start with 39347058 relations Sun Aug 31 20:31:35 2025 pruned 2256722 relations Sun Aug 31 20:31:35 2025 memory use: 958.0 MB Sun Aug 31 20:31:35 2025 distribution of cycle lengths: Sun Aug 31 20:31:35 2025 1 relations: 115324 Sun Aug 31 20:31:35 2025 2 relations: 198317 Sun Aug 31 20:31:35 2025 3 relations: 271984 Sun Aug 31 20:31:35 2025 4 relations: 303469 Sun Aug 31 20:31:35 2025 5 relations: 332147 Sun Aug 31 20:31:35 2025 6 relations: 338032 Sun Aug 31 20:31:35 2025 7 relations: 337388 Sun Aug 31 20:31:35 2025 8 relations: 322609 Sun Aug 31 20:31:35 2025 9 relations: 301876 Sun Aug 31 20:31:35 2025 10+ relations: 1651869 Sun Aug 31 20:31:35 2025 heaviest cycle: 28 relations Sun Aug 31 20:31:46 2025 RelProcTime: 4842 Sun Aug 31 20:31:46 2025 Sun Aug 31 20:31:46 2025 commencing linear algebra Sun Aug 31 20:31:46 2025 using VBITS=512 Sun Aug 31 20:31:47 2025 read 4173015 cycles Sun Aug 31 20:32:01 2025 cycles contain 13061391 unique relations Sun Aug 31 20:33:38 2025 read 13061391 relations Sun Aug 31 20:34:09 2025 using 20 quadratic characters above 4294917295 Sun Aug 31 20:35:22 2025 building initial matrix Sun Aug 31 20:40:34 2025 memory use: 1602.8 MB Sun Aug 31 20:40:38 2025 read 4173015 cycles Sun Aug 31 20:40:38 2025 matrix is 4172838 x 4173015 (1920.3 MB) with weight 543957318 (130.35/col) Sun Aug 31 20:40:38 2025 sparse part has weight 461666135 (110.63/col) Sun Aug 31 20:42:01 2025 filtering completed in 2 passes Sun Aug 31 20:42:02 2025 matrix is 4172799 x 4172942 (1920.3 MB) with weight 543955390 (130.35/col) Sun Aug 31 20:42:02 2025 sparse part has weight 461665453 (110.63/col) Sun Aug 31 20:42:30 2025 matrix starts at (0, 0) Sun Aug 31 20:42:31 2025 matrix is 4172799 x 4172942 (1920.3 MB) with weight 543955390 (130.35/col) Sun Aug 31 20:42:31 2025 sparse part has weight 461665453 (110.63/col) Sun Aug 31 20:42:31 2025 saving the first 496 matrix rows for later Sun Aug 31 20:42:34 2025 matrix includes 512 packed rows Sun Aug 31 20:42:40 2025 matrix is 4172303 x 4172942 (1801.8 MB) with weight 394625189 (94.57/col) Sun Aug 31 20:42:40 2025 sparse part has weight 372170825 (89.19/col) Mon Sep 1 10:08:34 2025 Mon Sep 1 10:08:34 2025 Mon Sep 1 10:08:34 2025 Msieve v. 1.54 (SVN unknown) Mon Sep 1 10:08:34 2025 random seeds: dfc1eac7 21360dcb Mon Sep 1 10:08:34 2025 factoring 6534506152792521483348877144818526153707353434466508197724531153338985107693117315452696491483913974620691453507267112735314045394467403870220532317732522228886866795668549210662325639874502841001983901239043752600618172113 (223 digits) Mon Sep 1 10:08:35 2025 no P-1/P+1/ECM available, skipping Mon Sep 1 10:08:35 2025 commencing number field sieve (223-digit input) Mon Sep 1 10:08:35 2025 R0: 13673156831674575282751232792517476402 Mon Sep 1 10:08:35 2025 R1: -3697723195653586951 Mon Sep 1 10:08:35 2025 A0: -1 Mon Sep 1 10:08:35 2025 A1: 3 Mon Sep 1 10:08:35 2025 A2: 6 Mon Sep 1 10:08:35 2025 A3: -4 Mon Sep 1 10:08:35 2025 A4: -5 Mon Sep 1 10:08:35 2025 A5: 1 Mon Sep 1 10:08:35 2025 A6: 1 Mon Sep 1 10:08:35 2025 skew 1.37, size 5.527e-11, alpha 3.126, combined = 2.167e-12 rroots = 6 Mon Sep 1 10:08:35 2025 Mon Sep 1 10:08:35 2025 commencing linear algebra Mon Sep 1 10:08:35 2025 using VBITS=512 Mon Sep 1 10:08:35 2025 skipping matrix build Mon Sep 1 10:08:37 2025 matrix starts at (0, 0) Mon Sep 1 10:08:37 2025 matrix is 4172799 x 4172942 (1920.3 MB) with weight 543955390 (130.35/col) Mon Sep 1 10:08:37 2025 sparse part has weight 461665453 (110.63/col) Mon Sep 1 10:08:37 2025 saving the first 496 matrix rows for later Mon Sep 1 10:08:39 2025 matrix includes 512 packed rows Mon Sep 1 10:08:43 2025 matrix is 4172303 x 4172942 (1801.8 MB) with weight 394625189 (94.57/col) Mon Sep 1 10:08:43 2025 sparse part has weight 372170825 (89.19/col) Mon Sep 1 10:08:43 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Mon Sep 1 10:08:43 2025 selected card has CUDA arch 8.6 Mon Sep 1 10:09:20 2025 commencing Lanczos iteration Mon Sep 1 10:09:21 2025 memory use: 4908.9 MB Mon Sep 1 10:09:36 2025 linear algebra at 0.4%, ETA 1h 7m Mon Sep 1 10:09:37 2025 checkpointing every 3570000 dimensions Mon Sep 1 11:24:45 2025 lanczos halted after 8163 iterations (dim = 4172303) Mon Sep 1 11:25:45 2025 recovered 34 nontrivial dependencies Mon Sep 1 11:25:45 2025 BLanczosTime: 4630 Mon Sep 1 11:25:45 2025 elapsed time 01:17:11 Mon Sep 1 11:57:48 2025 Mon Sep 1 11:57:48 2025 Mon Sep 1 11:57:48 2025 Msieve v. 1.54 (SVN Unversioned directory) Mon Sep 1 11:57:48 2025 random seeds: 0477077a 8bd2f95c Mon Sep 1 11:57:48 2025 factoring 6534506152792521483348877144818526153707353434466508197724531153338985107693117315452696491483913974620691453507267112735314045394467403870220532317732522228886866795668549210662325639874502841001983901239043752600618172113 (223 digits) Mon Sep 1 11:57:50 2025 searching for 15-digit factors Mon Sep 1 11:57:51 2025 commencing number field sieve (223-digit input) Mon Sep 1 11:57:51 2025 R0: 13673156831674575282751232792517476402 Mon Sep 1 11:57:51 2025 R1: -3697723195653586951 Mon Sep 1 11:57:51 2025 A0: -1 Mon Sep 1 11:57:51 2025 A1: 3 Mon Sep 1 11:57:51 2025 A2: 6 Mon Sep 1 11:57:51 2025 A3: -4 Mon Sep 1 11:57:51 2025 A4: -5 Mon Sep 1 11:57:51 2025 A5: 1 Mon Sep 1 11:57:51 2025 A6: 1 Mon Sep 1 11:57:51 2025 skew 1.37, size 5.527e-11, alpha 3.126, combined = 2.167e-12 rroots = 6 Mon Sep 1 11:57:51 2025 Mon Sep 1 11:57:51 2025 commencing square root phase Mon Sep 1 11:57:51 2025 reading relations for dependency 1 Mon Sep 1 11:57:52 2025 read 2086934 cycles Mon Sep 1 11:58:01 2025 cycles contain 6531860 unique relations Mon Sep 1 11:59:15 2025 read 6531860 relations Mon Sep 1 12:00:11 2025 multiplying 6531860 relations Mon Sep 1 12:07:45 2025 multiply complete, coefficients have about 158.05 million bits Mon Sep 1 12:07:46 2025 initial square root is modulo 470021 Mon Sep 1 12:16:39 2025 GCD is N, no factor found Mon Sep 1 12:16:39 2025 reading relations for dependency 2 Mon Sep 1 12:16:40 2025 read 2086346 cycles Mon Sep 1 12:16:49 2025 cycles contain 6533430 unique relations Mon Sep 1 12:17:54 2025 read 6533430 relations Mon Sep 1 12:18:49 2025 multiplying 6533430 relations Mon Sep 1 12:26:04 2025 multiply complete, coefficients have about 158.09 million bits Mon Sep 1 12:26:06 2025 initial square root is modulo 471439 Mon Sep 1 12:34:26 2025 sqrtTime: 2195 Mon Sep 1 12:34:26 2025 p90 factor: 445765224109402343196529211063018466893531292027718658112066176372005620883811275933072541 Mon Sep 1 12:34:26 2025 p134 factor: 14659075673406017548787115474208746544319409790541338040955230832700892956511301343643505134437591480319639946711417846203230922973893 Mon Sep 1 12:34:26 2025 elapsed time 00:36:38