Wed Feb 16 06:48:29 2022 Wed Feb 16 06:48:29 2022 Wed Feb 16 06:48:29 2022 Msieve v. 1.54 (SVN 1043M) Wed Feb 16 06:48:29 2022 random seeds: 8a723efd d0ddab95 Wed Feb 16 06:48:29 2022 factoring 2255036167482618021343243541444285990244060182293652222681960718101154773309004040669072256017521681225571006279544206113641948377553377901423422051221226699912850292997 (169 digits) Wed Feb 16 06:48:29 2022 searching for 15-digit factors Wed Feb 16 06:48:29 2022 commencing number field sieve (169-digit input) Wed Feb 16 06:48:29 2022 R0: -363648016678590540861963623819446 Wed Feb 16 06:48:29 2022 R1: 22755250068196960577393 Wed Feb 16 06:48:29 2022 A0: 627937381676244982467376723546395643453 Wed Feb 16 06:48:29 2022 A1: 1835169530309631827497468546335908 Wed Feb 16 06:48:29 2022 A2: -306417638098503281182282467 Wed Feb 16 06:48:29 2022 A3: -121510053526373613532 Wed Feb 16 06:48:29 2022 A4: 10161367326430 Wed Feb 16 06:48:29 2022 A5: 1772400 Wed Feb 16 06:48:29 2022 skew 4235434.59, size 2.106e-16, alpha -6.401, combined = 4.545e-13 rroots = 5 Wed Feb 16 06:48:29 2022 Wed Feb 16 06:48:29 2022 commencing relation filtering Wed Feb 16 06:48:29 2022 setting target matrix density to 136.0 Wed Feb 16 06:48:29 2022 estimated available RAM is 63624.2 MB Wed Feb 16 06:48:29 2022 commencing duplicate removal, pass 1 Wed Feb 16 07:17:22 2022 found 8715078 hash collisions in 199522895 relations Wed Feb 16 07:17:55 2022 added 121911 free relations Wed Feb 16 07:17:55 2022 commencing duplicate removal, pass 2 Wed Feb 16 07:19:00 2022 found 4 duplicates and 199644802 unique relations Wed Feb 16 07:19:00 2022 memory use: 522.4 MB Wed Feb 16 07:19:00 2022 reading ideals above 720000 Wed Feb 16 07:19:00 2022 commencing singleton removal, initial pass Wed Feb 16 07:47:13 2022 memory use: 5512.0 MB Wed Feb 16 07:47:14 2022 reading all ideals from disk Wed Feb 16 07:52:40 2022 memory use: 7783.9 MB Wed Feb 16 07:53:08 2022 keeping 176214793 ideals with weight <= 200, target excess is 977858 Wed Feb 16 07:53:36 2022 commencing in-memory singleton removal Wed Feb 16 07:53:56 2022 begin with 199644802 relations and 176214793 unique ideals Wed Feb 16 07:57:28 2022 reduce to 136409659 relations and 107063126 ideals in 13 passes Wed Feb 16 07:57:28 2022 max relations containing the same ideal: 165 Wed Feb 16 07:58:43 2022 removing 10227517 relations and 8227517 ideals in 2000000 cliques Wed Feb 16 07:58:49 2022 commencing in-memory singleton removal Wed Feb 16 07:59:02 2022 begin with 126182142 relations and 107063126 unique ideals Wed Feb 16 08:00:59 2022 reduce to 125581536 relations and 98223844 ideals in 8 passes Wed Feb 16 08:00:59 2022 max relations containing the same ideal: 157 Wed Feb 16 08:02:10 2022 removing 7850886 relations and 5850886 ideals in 2000000 cliques Wed Feb 16 08:02:16 2022 commencing in-memory singleton removal Wed Feb 16 08:02:28 2022 begin with 117730650 relations and 98223844 unique ideals Wed Feb 16 08:04:23 2022 reduce to 117327245 relations and 91962972 ideals in 8 passes Wed Feb 16 08:04:23 2022 max relations containing the same ideal: 152 Wed Feb 16 08:05:26 2022 removing 7155641 relations and 5155641 ideals in 2000000 cliques Wed Feb 16 08:05:31 2022 commencing in-memory singleton removal Wed Feb 16 08:05:42 2022 begin with 110171604 relations and 91962972 unique ideals Wed Feb 16 08:07:20 2022 reduce to 109815471 relations and 86445251 ideals in 8 passes Wed Feb 16 08:07:20 2022 max relations containing the same ideal: 147 Wed Feb 16 08:08:18 2022 removing 6808388 relations and 4808388 ideals in 2000000 cliques Wed Feb 16 08:08:23 2022 commencing in-memory singleton removal Wed Feb 16 08:08:33 2022 begin with 103007083 relations and 86445251 unique ideals Wed Feb 16 08:09:55 2022 reduce to 102669929 relations and 81293946 ideals in 7 passes Wed Feb 16 08:09:55 2022 max relations containing the same ideal: 137 Wed Feb 16 08:10:48 2022 removing 6594439 relations and 4594439 ideals in 2000000 cliques Wed Feb 16 08:10:53 2022 commencing in-memory singleton removal Wed Feb 16 08:11:02 2022 begin with 96075490 relations and 81293946 unique ideals Wed Feb 16 08:12:07 2022 reduce to 95743362 relations and 76361424 ideals in 6 passes Wed Feb 16 08:12:07 2022 max relations containing the same ideal: 133 Wed Feb 16 08:12:57 2022 removing 6459381 relations and 4459381 ideals in 2000000 cliques Wed Feb 16 08:13:02 2022 commencing in-memory singleton removal Wed Feb 16 08:13:11 2022 begin with 89283981 relations and 76361424 unique ideals Wed Feb 16 08:14:20 2022 reduce to 88951864 relations and 71563687 ideals in 7 passes Wed Feb 16 08:14:20 2022 max relations containing the same ideal: 127 Wed Feb 16 08:15:12 2022 removing 6370057 relations and 4370057 ideals in 2000000 cliques Wed Feb 16 08:15:17 2022 commencing in-memory singleton removal Wed Feb 16 08:15:25 2022 begin with 82581807 relations and 71563687 unique ideals Wed Feb 16 08:16:28 2022 reduce to 82239730 relations and 66844838 ideals in 7 passes Wed Feb 16 08:16:28 2022 max relations containing the same ideal: 121 Wed Feb 16 08:17:15 2022 removing 6317474 relations and 4317474 ideals in 2000000 cliques Wed Feb 16 08:17:20 2022 commencing in-memory singleton removal Wed Feb 16 08:17:27 2022 begin with 75922256 relations and 66844838 unique ideals Wed Feb 16 08:18:27 2022 reduce to 75561423 relations and 62158658 ideals in 7 passes Wed Feb 16 08:18:27 2022 max relations containing the same ideal: 114 Wed Feb 16 08:19:07 2022 removing 6293180 relations and 4293180 ideals in 2000000 cliques Wed Feb 16 08:19:11 2022 commencing in-memory singleton removal Wed Feb 16 08:19:18 2022 begin with 69268243 relations and 62158658 unique ideals Wed Feb 16 08:20:11 2022 reduce to 68882625 relations and 57470937 ideals in 7 passes Wed Feb 16 08:20:11 2022 max relations containing the same ideal: 106 Wed Feb 16 08:20:47 2022 removing 6295576 relations and 4295576 ideals in 2000000 cliques Wed Feb 16 08:20:51 2022 commencing in-memory singleton removal Wed Feb 16 08:20:57 2022 begin with 62587049 relations and 57470937 unique ideals Wed Feb 16 08:21:41 2022 reduce to 62163922 relations and 52741594 ideals in 7 passes Wed Feb 16 08:21:41 2022 max relations containing the same ideal: 100 Wed Feb 16 08:22:14 2022 removing 6325205 relations and 4325205 ideals in 2000000 cliques Wed Feb 16 08:22:18 2022 commencing in-memory singleton removal Wed Feb 16 08:22:22 2022 begin with 55838717 relations and 52741594 unique ideals Wed Feb 16 08:23:01 2022 reduce to 55366440 relations and 47931257 ideals in 7 passes Wed Feb 16 08:23:01 2022 max relations containing the same ideal: 93 Wed Feb 16 08:23:32 2022 removing 6386395 relations and 4386395 ideals in 2000000 cliques Wed Feb 16 08:23:36 2022 commencing in-memory singleton removal Wed Feb 16 08:23:41 2022 begin with 48980045 relations and 47931257 unique ideals Wed Feb 16 08:24:21 2022 reduce to 48439288 relations and 42987431 ideals in 8 passes Wed Feb 16 08:24:21 2022 max relations containing the same ideal: 84 Wed Feb 16 08:24:48 2022 removing 6477764 relations and 4477764 ideals in 2000000 cliques Wed Feb 16 08:24:52 2022 commencing in-memory singleton removal Wed Feb 16 08:24:55 2022 begin with 41961524 relations and 42987431 unique ideals Wed Feb 16 08:25:33 2022 reduce to 41317348 relations and 37842575 ideals in 9 passes Wed Feb 16 08:25:33 2022 max relations containing the same ideal: 76 Wed Feb 16 08:25:55 2022 removing 6611327 relations and 4611327 ideals in 2000000 cliques Wed Feb 16 08:25:58 2022 commencing in-memory singleton removal Wed Feb 16 08:26:01 2022 begin with 34706021 relations and 37842575 unique ideals Wed Feb 16 08:26:28 2022 reduce to 33905281 relations and 32397693 ideals in 8 passes Wed Feb 16 08:26:28 2022 max relations containing the same ideal: 68 Wed Feb 16 08:26:47 2022 removing 1791074 relations and 1417802 ideals in 373272 cliques Wed Feb 16 08:26:49 2022 commencing in-memory singleton removal Wed Feb 16 08:26:52 2022 begin with 32114207 relations and 32397693 unique ideals Wed Feb 16 08:27:10 2022 reduce to 32045212 relations and 30910208 ideals in 6 passes Wed Feb 16 08:27:10 2022 max relations containing the same ideal: 65 Wed Feb 16 08:27:33 2022 relations with 0 large ideals: 3331 Wed Feb 16 08:27:33 2022 relations with 1 large ideals: 27195 Wed Feb 16 08:27:33 2022 relations with 2 large ideals: 346808 Wed Feb 16 08:27:33 2022 relations with 3 large ideals: 1828365 Wed Feb 16 08:27:33 2022 relations with 4 large ideals: 5100907 Wed Feb 16 08:27:33 2022 relations with 5 large ideals: 8357875 Wed Feb 16 08:27:33 2022 relations with 6 large ideals: 8490117 Wed Feb 16 08:27:33 2022 relations with 7+ large ideals: 7890614 Wed Feb 16 08:27:33 2022 commencing 2-way merge Wed Feb 16 08:27:57 2022 reduce to 20520909 relation sets and 19385905 unique ideals Wed Feb 16 08:27:57 2022 commencing full merge Wed Feb 16 08:37:02 2022 memory use: 2412.5 MB Wed Feb 16 08:37:04 2022 found 8754242 cycles, need 8740105 Wed Feb 16 08:37:08 2022 weight of 8740105 cycles is about 1189485442 (136.10/cycle) Wed Feb 16 08:37:08 2022 distribution of cycle lengths: Wed Feb 16 08:37:08 2022 1 relations: 302667 Wed Feb 16 08:37:08 2022 2 relations: 454676 Wed Feb 16 08:37:08 2022 3 relations: 533982 Wed Feb 16 08:37:08 2022 4 relations: 551324 Wed Feb 16 08:37:08 2022 5 relations: 568857 Wed Feb 16 08:37:08 2022 6 relations: 570612 Wed Feb 16 08:37:08 2022 7 relations: 567707 Wed Feb 16 08:37:08 2022 8 relations: 557163 Wed Feb 16 08:37:08 2022 9 relations: 536907 Wed Feb 16 08:37:08 2022 10+ relations: 4096210 Wed Feb 16 08:37:08 2022 heaviest cycle: 28 relations Wed Feb 16 08:37:11 2022 commencing cycle optimization Wed Feb 16 08:37:34 2022 start with 86627343 relations Wed Feb 16 08:41:55 2022 pruned 4421086 relations Wed Feb 16 08:41:55 2022 memory use: 2203.5 MB Wed Feb 16 08:41:55 2022 distribution of cycle lengths: Wed Feb 16 08:41:55 2022 1 relations: 302667 Wed Feb 16 08:41:55 2022 2 relations: 467864 Wed Feb 16 08:41:55 2022 3 relations: 558228 Wed Feb 16 08:41:55 2022 4 relations: 575430 Wed Feb 16 08:41:55 2022 5 relations: 599403 Wed Feb 16 08:41:55 2022 6 relations: 601303 Wed Feb 16 08:41:55 2022 7 relations: 601694 Wed Feb 16 08:41:55 2022 8 relations: 588688 Wed Feb 16 08:41:55 2022 9 relations: 567474 Wed Feb 16 08:41:55 2022 10+ relations: 3877354 Wed Feb 16 08:41:55 2022 heaviest cycle: 28 relations Wed Feb 16 08:42:19 2022 RelProcTime: 6830 Wed Feb 16 08:42:19 2022 elapsed time 01:53:50 Wed Feb 16 08:44:43 2022 Wed Feb 16 08:44:43 2022 Wed Feb 16 08:44:43 2022 Msieve v. 1.54 (SVN 1043M) Wed Feb 16 08:44:43 2022 random seeds: c4b7798c 82e0a903 Wed Feb 16 08:44:43 2022 factoring 2255036167482618021343243541444285990244060182293652222681960718101154773309004040669072256017521681225571006279544206113641948377553377901423422051221226699912850292997 (169 digits) Wed Feb 16 08:44:44 2022 searching for 15-digit factors Wed Feb 16 08:44:44 2022 commencing number field sieve (169-digit input) Wed Feb 16 08:44:44 2022 R0: -363648016678590540861963623819446 Wed Feb 16 08:44:44 2022 R1: 22755250068196960577393 Wed Feb 16 08:44:44 2022 A0: 627937381676244982467376723546395643453 Wed Feb 16 08:44:44 2022 A1: 1835169530309631827497468546335908 Wed Feb 16 08:44:44 2022 A2: -306417638098503281182282467 Wed Feb 16 08:44:44 2022 A3: -121510053526373613532 Wed Feb 16 08:44:44 2022 A4: 10161367326430 Wed Feb 16 08:44:44 2022 A5: 1772400 Wed Feb 16 08:44:44 2022 skew 4235434.59, size 2.106e-16, alpha -6.401, combined = 4.545e-13 rroots = 5 Wed Feb 16 08:44:44 2022 Wed Feb 16 08:44:44 2022 commencing linear algebra Wed Feb 16 08:44:45 2022 read 8740105 cycles Wed Feb 16 08:45:10 2022 cycles contain 31434191 unique relations Wed Feb 16 08:47:59 2022 read 31434191 relations Wed Feb 16 08:49:08 2022 using 20 quadratic characters above 4294917295 Wed Feb 16 08:51:50 2022 building initial matrix Wed Feb 16 09:00:11 2022 memory use: 4264.2 MB Wed Feb 16 09:00:17 2022 read 8740105 cycles Wed Feb 16 09:00:18 2022 matrix is 8739928 x 8740105 (4535.8 MB) with weight 1375683874 (157.40/col) Wed Feb 16 09:00:18 2022 sparse part has weight 1092885643 (125.04/col) Wed Feb 16 09:02:37 2022 filtering completed in 2 passes Wed Feb 16 09:02:39 2022 matrix is 8739847 x 8740024 (4535.8 MB) with weight 1375680162 (157.40/col) Wed Feb 16 09:02:39 2022 sparse part has weight 1092884644 (125.04/col) Wed Feb 16 09:05:10 2022 matrix starts at (0, 0) Wed Feb 16 09:05:12 2022 matrix is 8739847 x 8740024 (4535.8 MB) with weight 1375680162 (157.40/col) Wed Feb 16 09:05:12 2022 sparse part has weight 1092884644 (125.04/col) Wed Feb 16 09:05:12 2022 saving the first 48 matrix rows for later Wed Feb 16 09:05:13 2022 matrix includes 64 packed rows Wed Feb 16 09:05:14 2022 matrix is 8739799 x 8740024 (4421.1 MB) with weight 1187518615 (135.87/col) Wed Feb 16 09:05:14 2022 sparse part has weight 1071565590 (122.60/col) Wed Feb 16 09:05:14 2022 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB Wed Feb 16 09:05:48 2022 commencing Lanczos iteration (4 threads) Wed Feb 16 09:05:48 2022 memory use: 4140.3 MB Wed Feb 16 09:06:28 2022 linear algebra at 0.0%, ETA 60h43m Wed Feb 16 09:06:40 2022 checkpointing every 150000 dimensions Wed Feb 16 09:16:05 2022 lanczos halted after 333 iterations (dim = 21083) Wed Feb 16 15:59:32 2022 Wed Feb 16 15:59:32 2022 Wed Feb 16 15:59:32 2022 Msieve v. 1.54 (SVN unknown) Wed Feb 16 15:59:32 2022 random seeds: 7452b1ab d09e5573 Wed Feb 16 15:59:32 2022 factoring 2255036167482618021343243541444285990244060182293652222681960718101154773309004040669072256017521681225571006279544206113641948377553377901423422051221226699912850292997 (169 digits) Wed Feb 16 15:59:32 2022 no P-1/P+1/ECM available, skipping Wed Feb 16 15:59:32 2022 commencing number field sieve (169-digit input) Wed Feb 16 15:59:32 2022 R0: -363648016678590540861963623819446 Wed Feb 16 15:59:32 2022 R1: 22755250068196960577393 Wed Feb 16 15:59:32 2022 A0: 627937381676244982467376723546395643453 Wed Feb 16 15:59:32 2022 A1: 1835169530309631827497468546335908 Wed Feb 16 15:59:32 2022 A2: -306417638098503281182282467 Wed Feb 16 15:59:32 2022 A3: -121510053526373613532 Wed Feb 16 15:59:32 2022 A4: 10161367326430 Wed Feb 16 15:59:32 2022 A5: 1772400 Wed Feb 16 15:59:32 2022 skew 4235434.59, size 2.106e-16, alpha -6.401, combined = 4.545e-13 rroots = 5 Wed Feb 16 15:59:32 2022 Wed Feb 16 15:59:32 2022 commencing linear algebra Wed Feb 16 15:59:32 2022 using VBITS=128 Wed Feb 16 15:59:32 2022 skipping matrix build Wed Feb 16 15:59:48 2022 matrix starts at (0, 0) Wed Feb 16 15:59:50 2022 matrix is 8739847 x 8740024 (4535.8 MB) with weight 1375680162 (157.40/col) Wed Feb 16 15:59:50 2022 sparse part has weight 1092884644 (125.04/col) Wed Feb 16 15:59:50 2022 saving the first 112 matrix rows for later Wed Feb 16 15:59:52 2022 matrix includes 128 packed rows Wed Feb 16 15:59:55 2022 matrix is 8739735 x 8740024 (4206.2 MB) with weight 1071565590 (122.60/col) Wed Feb 16 15:59:55 2022 sparse part has weight 997759462 (114.16/col) Wed Feb 16 15:59:55 2022 using GPU 0 (Tesla P100-PCIE-16GB) Wed Feb 16 15:59:55 2022 selected card has CUDA arch 6.0 Wed Feb 16 16:02:11 2022 commencing Lanczos iteration Wed Feb 16 16:02:12 2022 memory use: 8945.9 MB Wed Feb 16 16:02:17 2022 linear algebra at 0.0%, ETA 6h21m Wed Feb 16 16:02:19 2022 checkpointing every 1230000 dimensions Wed Feb 16 23:26:33 2022 lanczos halted after 68691 iterations (dim = 8739733) Wed Feb 16 23:26:55 2022 recovered 26 nontrivial dependencies Wed Feb 16 23:26:55 2022 BLanczosTime: 26843 Wed Feb 16 23:26:55 2022 elapsed time 07:27:23 Wed Feb 16 23:31:57 2022 Wed Feb 16 23:31:57 2022 Wed Feb 16 23:31:57 2022 Msieve v. 1.54 (SVN 1043M) Wed Feb 16 23:31:57 2022 random seeds: f803c547 3d6a3c8d Wed Feb 16 23:31:57 2022 factoring 2255036167482618021343243541444285990244060182293652222681960718101154773309004040669072256017521681225571006279544206113641948377553377901423422051221226699912850292997 (169 digits) Wed Feb 16 23:31:58 2022 searching for 15-digit factors Wed Feb 16 23:31:58 2022 commencing number field sieve (169-digit input) Wed Feb 16 23:31:58 2022 R0: -363648016678590540861963623819446 Wed Feb 16 23:31:58 2022 R1: 22755250068196960577393 Wed Feb 16 23:31:58 2022 A0: 627937381676244982467376723546395643453 Wed Feb 16 23:31:58 2022 A1: 1835169530309631827497468546335908 Wed Feb 16 23:31:58 2022 A2: -306417638098503281182282467 Wed Feb 16 23:31:58 2022 A3: -121510053526373613532 Wed Feb 16 23:31:58 2022 A4: 10161367326430 Wed Feb 16 23:31:58 2022 A5: 1772400 Wed Feb 16 23:31:58 2022 skew 4235434.59, size 2.106e-16, alpha -6.401, combined = 4.545e-13 rroots = 5 Wed Feb 16 23:31:58 2022 Wed Feb 16 23:31:58 2022 commencing square root phase Wed Feb 16 23:31:58 2022 reading relations for dependency 1 Wed Feb 16 23:32:00 2022 read 4371004 cycles Wed Feb 16 23:32:14 2022 cycles contain 15718282 unique relations Wed Feb 16 23:34:21 2022 read 15718282 relations Wed Feb 16 23:36:08 2022 multiplying 15718282 relations Thu Feb 17 00:01:34 2022 multiply complete, coefficients have about 895.26 million bits Thu Feb 17 00:01:39 2022 initial square root is modulo 107612959 Thu Feb 17 00:32:19 2022 sqrtTime: 3621 Thu Feb 17 00:32:19 2022 p79 factor: 3117787282893590999572361502471149940428319002796286714196798997173121297064357 Thu Feb 17 00:32:19 2022 p90 factor: 723280956290814925660371182002898173308712643079777486914022345600857350819367848571159521 Thu Feb 17 00:32:19 2022 elapsed time 01:00:22