Wed Dec 24 21:43:17 2025 Wed Dec 24 21:43:17 2025 Wed Dec 24 21:43:17 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Dec 24 21:43:17 2025 random seeds: 03d357b1 5dea6896 Wed Dec 24 21:43:17 2025 Using 8 OpenMP threads Wed Dec 24 21:43:17 2025 factoring 67074379008834369018720416669345407605988697062728222294637139939439210329805865626896861974382480650744169376377309076624855752304820138443157375043456748588805807 (164 digits) Wed Dec 24 21:43:17 2025 searching for 15-digit factors Wed Dec 24 21:43:18 2025 commencing number field sieve (164-digit input) Wed Dec 24 21:43:18 2025 R0: -107742851213498275783157619674551 Wed Dec 24 21:43:18 2025 R1: 510631124785724459239 Wed Dec 24 21:43:18 2025 A0: -13778743413185433495956928735489122386020 Wed Dec 24 21:43:18 2025 A1: 12827301115912249185068786579374548 Wed Dec 24 21:43:18 2025 A2: 194555987177021906288574801 Wed Dec 24 21:43:18 2025 A3: -31561673090709137717 Wed Dec 24 21:43:18 2025 A4: -123908960834 Wed Dec 24 21:43:18 2025 A5: 9240 Wed Dec 24 21:43:18 2025 skew 1.00, size 7.974e-16, alpha -7.690, combined = 3.613e-15 rroots = 5 Wed Dec 24 21:43:18 2025 Wed Dec 24 21:43:18 2025 commencing relation filtering Wed Dec 24 21:43:18 2025 estimated available RAM is 78540.1 MB Wed Dec 24 21:43:18 2025 commencing duplicate removal, pass 1 Wed Dec 24 21:47:03 2025 error -1 reading relation 82139714 Wed Dec 24 21:48:47 2025 error -1 reading relation 118669958 Wed Dec 24 21:48:56 2025 error -1 reading relation 123335332 Wed Dec 24 21:49:46 2025 error -15 reading relation 143541117 Wed Dec 24 21:51:04 2025 error -1 reading relation 175758133 Wed Dec 24 21:51:58 2025 skipped 55 malformed relations Wed Dec 24 21:51:58 2025 found 31950123 hash collisions in 198128561 relations Wed Dec 24 21:52:18 2025 added 122445 free relations Wed Dec 24 21:52:18 2025 commencing duplicate removal, pass 2 Wed Dec 24 21:53:50 2025 found 29241125 duplicates and 169009881 unique relations Wed Dec 24 21:53:50 2025 memory use: 852.8 MB Wed Dec 24 21:53:50 2025 reading ideals above 720000 Wed Dec 24 21:53:50 2025 commencing singleton removal, initial pass Wed Dec 24 22:08:32 2025 memory use: 3012.0 MB Wed Dec 24 22:08:32 2025 reading all ideals from disk Wed Dec 24 22:08:41 2025 memory use: 7669.6 MB Wed Dec 24 22:08:54 2025 keeping 158880999 ideals with weight <= 200, target excess is 868081 Wed Dec 24 22:09:15 2025 commencing in-memory singleton removal Wed Dec 24 22:09:18 2025 begin with 169009881 relations and 158880999 unique ideals Wed Dec 24 22:09:44 2025 reduce to 95034643 relations and 75888066 ideals in 14 passes Wed Dec 24 22:09:44 2025 max relations containing the same ideal: 143 Wed Dec 24 22:10:26 2025 removing 10795054 relations and 8795054 ideals in 2000000 cliques Wed Dec 24 22:10:29 2025 commencing in-memory singleton removal Wed Dec 24 22:10:31 2025 begin with 84239589 relations and 75888066 unique ideals Wed Dec 24 22:10:43 2025 reduce to 83343397 relations and 66173288 ideals in 8 passes Wed Dec 24 22:10:43 2025 max relations containing the same ideal: 136 Wed Dec 24 22:11:21 2025 removing 8182638 relations and 6182638 ideals in 2000000 cliques Wed Dec 24 22:11:25 2025 commencing in-memory singleton removal Wed Dec 24 22:11:26 2025 begin with 75160759 relations and 66173288 unique ideals Wed Dec 24 22:11:36 2025 reduce to 74547005 relations and 59362150 ideals in 8 passes Wed Dec 24 22:11:36 2025 max relations containing the same ideal: 125 Wed Dec 24 22:12:12 2025 removing 7425409 relations and 5425409 ideals in 2000000 cliques Wed Dec 24 22:12:15 2025 commencing in-memory singleton removal Wed Dec 24 22:12:16 2025 begin with 67121596 relations and 59362150 unique ideals Wed Dec 24 22:12:23 2025 reduce to 66568695 relations and 53370026 ideals in 8 passes Wed Dec 24 22:12:23 2025 max relations containing the same ideal: 116 Wed Dec 24 22:12:57 2025 removing 7039331 relations and 5039331 ideals in 2000000 cliques Wed Dec 24 22:13:00 2025 commencing in-memory singleton removal Wed Dec 24 22:13:01 2025 begin with 59529364 relations and 53370026 unique ideals Wed Dec 24 22:13:10 2025 reduce to 58993652 relations and 47780441 ideals in 8 passes Wed Dec 24 22:13:10 2025 max relations containing the same ideal: 108 Wed Dec 24 22:13:39 2025 removing 6813362 relations and 4813362 ideals in 2000000 cliques Wed Dec 24 22:13:42 2025 commencing in-memory singleton removal Wed Dec 24 22:13:43 2025 begin with 52180290 relations and 47780441 unique ideals Wed Dec 24 22:13:50 2025 reduce to 51637071 relations and 42407573 ideals in 8 passes Wed Dec 24 22:13:50 2025 max relations containing the same ideal: 99 Wed Dec 24 22:14:16 2025 removing 6663165 relations and 4663165 ideals in 2000000 cliques Wed Dec 24 22:14:19 2025 commencing in-memory singleton removal Wed Dec 24 22:14:20 2025 begin with 44973906 relations and 42407573 unique ideals Wed Dec 24 22:14:23 2025 reduce to 44398668 relations and 37149942 ideals in 8 passes Wed Dec 24 22:14:23 2025 max relations containing the same ideal: 87 Wed Dec 24 22:14:48 2025 removing 6559291 relations and 4559291 ideals in 2000000 cliques Wed Dec 24 22:14:51 2025 commencing in-memory singleton removal Wed Dec 24 22:14:51 2025 begin with 37839377 relations and 37149942 unique ideals Wed Dec 24 22:14:53 2025 reduce to 37211225 relations and 31938007 ideals in 8 passes Wed Dec 24 22:14:53 2025 max relations containing the same ideal: 78 Wed Dec 24 22:15:13 2025 removing 6482284 relations and 4482284 ideals in 2000000 cliques Wed Dec 24 22:15:15 2025 commencing in-memory singleton removal Wed Dec 24 22:15:16 2025 begin with 30728941 relations and 31938007 unique ideals Wed Dec 24 22:15:20 2025 reduce to 30015972 relations and 26709916 ideals in 8 passes Wed Dec 24 22:15:20 2025 max relations containing the same ideal: 69 Wed Dec 24 22:15:33 2025 removing 6424772 relations and 4424772 ideals in 2000000 cliques Wed Dec 24 22:15:35 2025 commencing in-memory singleton removal Wed Dec 24 22:15:35 2025 begin with 23591200 relations and 26709916 unique ideals Wed Dec 24 22:15:38 2025 reduce to 22740152 relations and 21385092 ideals in 8 passes Wed Dec 24 22:15:38 2025 max relations containing the same ideal: 58 Wed Dec 24 22:15:50 2025 removing 1594764 relations and 1246678 ideals in 348086 cliques Wed Dec 24 22:15:51 2025 commencing in-memory singleton removal Wed Dec 24 22:15:51 2025 begin with 21145388 relations and 21385092 unique ideals Wed Dec 24 22:15:53 2025 reduce to 21075823 relations and 20067920 ideals in 7 passes Wed Dec 24 22:15:53 2025 max relations containing the same ideal: 55 Wed Dec 24 22:16:05 2025 relations with 0 large ideals: 2840 Wed Dec 24 22:16:05 2025 relations with 1 large ideals: 29740 Wed Dec 24 22:16:05 2025 relations with 2 large ideals: 348851 Wed Dec 24 22:16:05 2025 relations with 3 large ideals: 1684384 Wed Dec 24 22:16:05 2025 relations with 4 large ideals: 4191548 Wed Dec 24 22:16:05 2025 relations with 5 large ideals: 5960617 Wed Dec 24 22:16:05 2025 relations with 6 large ideals: 5144495 Wed Dec 24 22:16:05 2025 relations with 7+ large ideals: 3713348 Wed Dec 24 22:16:05 2025 commencing 2-way merge Wed Dec 24 22:16:19 2025 reduce to 13295722 relation sets and 12287819 unique ideals Wed Dec 24 22:16:19 2025 commencing full merge Wed Dec 24 22:20:31 2025 memory use: 1520.0 MB Wed Dec 24 22:20:33 2025 found 6713197 cycles, need 6576019 Wed Dec 24 22:20:36 2025 weight of 6576019 cycles is about 591866273 (90.00/cycle) Wed Dec 24 22:20:36 2025 distribution of cycle lengths: Wed Dec 24 22:20:36 2025 1 relations: 385214 Wed Dec 24 22:20:36 2025 2 relations: 564536 Wed Dec 24 22:20:36 2025 3 relations: 640416 Wed Dec 24 22:20:36 2025 4 relations: 652569 Wed Dec 24 22:20:36 2025 5 relations: 658191 Wed Dec 24 22:20:36 2025 6 relations: 624706 Wed Dec 24 22:20:36 2025 7 relations: 584996 Wed Dec 24 22:20:36 2025 8 relations: 523847 Wed Dec 24 22:20:36 2025 9 relations: 451940 Wed Dec 24 22:20:36 2025 10+ relations: 1489604 Wed Dec 24 22:20:36 2025 heaviest cycle: 20 relations Wed Dec 24 22:20:38 2025 commencing cycle optimization Wed Dec 24 22:20:52 2025 start with 43615870 relations Wed Dec 24 22:22:16 2025 pruned 1480349 relations Wed Dec 24 22:22:17 2025 memory use: 1317.9 MB Wed Dec 24 22:22:17 2025 distribution of cycle lengths: Wed Dec 24 22:22:17 2025 1 relations: 385214 Wed Dec 24 22:22:17 2025 2 relations: 578665 Wed Dec 24 22:22:17 2025 3 relations: 668150 Wed Dec 24 22:22:17 2025 4 relations: 678081 Wed Dec 24 22:22:17 2025 5 relations: 687162 Wed Dec 24 22:22:17 2025 6 relations: 648377 Wed Dec 24 22:22:17 2025 7 relations: 605693 Wed Dec 24 22:22:17 2025 8 relations: 535903 Wed Dec 24 22:22:17 2025 9 relations: 456997 Wed Dec 24 22:22:17 2025 10+ relations: 1331777 Wed Dec 24 22:22:17 2025 heaviest cycle: 19 relations Wed Dec 24 22:22:30 2025 RelProcTime: 2352 Wed Dec 24 22:22:30 2025 elapsed time 00:39:13 Wed Dec 24 22:22:30 2025 Wed Dec 24 22:22:30 2025 Wed Dec 24 22:22:30 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Dec 24 22:22:30 2025 random seeds: 28e00b79 3402ef3b Wed Dec 24 22:22:30 2025 Using 8 OpenMP threads Wed Dec 24 22:22:30 2025 factoring 67074379008834369018720416669345407605988697062728222294637139939439210329805865626896861974382480650744169376377309076624855752304820138443157375043456748588805807 (164 digits) Wed Dec 24 22:22:31 2025 searching for 15-digit factors Wed Dec 24 22:22:31 2025 commencing number field sieve (164-digit input) Wed Dec 24 22:22:31 2025 R0: -107742851213498275783157619674551 Wed Dec 24 22:22:31 2025 R1: 510631124785724459239 Wed Dec 24 22:22:31 2025 A0: -13778743413185433495956928735489122386020 Wed Dec 24 22:22:31 2025 A1: 12827301115912249185068786579374548 Wed Dec 24 22:22:31 2025 A2: 194555987177021906288574801 Wed Dec 24 22:22:31 2025 A3: -31561673090709137717 Wed Dec 24 22:22:31 2025 A4: -123908960834 Wed Dec 24 22:22:31 2025 A5: 9240 Wed Dec 24 22:22:31 2025 skew 1.00, size 7.974e-16, alpha -7.690, combined = 3.613e-15 rroots = 5 Wed Dec 24 22:22:31 2025 Wed Dec 24 22:22:31 2025 commencing linear algebra Wed Dec 24 22:22:31 2025 using VBITS=256 Wed Dec 24 22:22:31 2025 stopping after matrix build Wed Dec 24 22:22:32 2025 read 6576019 cycles Wed Dec 24 22:22:41 2025 cycles contain 20537572 unique relations Wed Dec 24 22:23:16 2025 read 20537572 relations Wed Dec 24 22:23:23 2025 using 20 quadratic characters above 4294917295 Wed Dec 24 22:23:36 2025 building initial matrix Wed Dec 24 22:28:08 2025 memory use: 2881.7 MB Wed Dec 24 22:28:07 2025 read 6576019 cycles Wed Dec 24 22:28:09 2025 matrix is 6575838 x 6576019 (2452.3 MB) with weight 774290828 (117.74/col) Wed Dec 24 22:28:09 2025 sparse part has weight 563942109 (85.76/col) Wed Dec 24 22:29:13 2025 filtering completed in 2 passes Wed Dec 24 22:29:15 2025 matrix is 6574833 x 6575014 (2452.2 MB) with weight 774244228 (117.76/col) Wed Dec 24 22:29:15 2025 sparse part has weight 563927337 (85.77/col) Wed Dec 24 22:29:29 2025 BLanczosTime: 418 Wed Dec 24 22:29:29 2025 elapsed time 00:06:59 Wed Dec 24 22:30:48 2025 Wed Dec 24 22:30:48 2025 Wed Dec 24 22:30:48 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Dec 24 22:30:48 2025 random seeds: fc630a9d 6f559885 Wed Dec 24 22:30:48 2025 Using 8 OpenMP threads Wed Dec 24 22:30:48 2025 factoring 67074379008834369018720416669345407605988697062728222294637139939439210329805865626896861974382480650744169376377309076624855752304820138443157375043456748588805807 (164 digits) Wed Dec 24 22:30:48 2025 searching for 15-digit factors Wed Dec 24 22:30:49 2025 commencing number field sieve (164-digit input) Wed Dec 24 22:30:49 2025 R0: -107742851213498275783157619674551 Wed Dec 24 22:30:49 2025 R1: 510631124785724459239 Wed Dec 24 22:30:49 2025 A0: -13778743413185433495956928735489122386020 Wed Dec 24 22:30:49 2025 A1: 12827301115912249185068786579374548 Wed Dec 24 22:30:49 2025 A2: 194555987177021906288574801 Wed Dec 24 22:30:49 2025 A3: -31561673090709137717 Wed Dec 24 22:30:49 2025 A4: -123908960834 Wed Dec 24 22:30:49 2025 A5: 9240 Wed Dec 24 22:30:49 2025 skew 1.00, size 7.974e-16, alpha -7.690, combined = 3.613e-15 rroots = 5 Wed Dec 24 22:30:49 2025 Wed Dec 24 22:30:49 2025 commencing linear algebra Wed Dec 24 22:30:49 2025 using VBITS=256 Wed Dec 24 22:30:49 2025 skipping matrix build Wed Dec 24 22:30:50 2025 matrix starts at (0, 0) Wed Dec 24 22:30:50 2025 matrix is 6574833 x 6575014 (2452.2 MB) with weight 774244228 (117.76/col) Wed Dec 24 22:30:50 2025 sparse part has weight 563927337 (85.77/col) Wed Dec 24 22:30:50 2025 saving the first 240 matrix rows for later Wed Dec 24 22:30:52 2025 matrix includes 256 packed rows Wed Dec 24 22:30:53 2025 matrix is 6574593 x 6575014 (2242.7 MB) with weight 515745246 (78.44/col) Wed Dec 24 22:30:53 2025 sparse part has weight 482706478 (73.42/col) Wed Dec 24 22:30:54 2025 using GPU 0 (NVIDIA GeForce RTX 5070) Wed Dec 24 22:30:54 2025 selected card has CUDA arch 12.0 Wed Dec 24 22:31:19 2025 commencing Lanczos iteration Wed Dec 24 22:31:22 2025 memory use: 5338.2 MB Wed Dec 24 22:31:40 2025 linear algebra at 0.5%, ETA 1h 0m Wed Dec 24 22:32:02 2025 checking every 110000 dimensions, checkpointing every 7150000 dimensions Wed Dec 24 23:26:23 2025 lanczos halted after 25760 iterations (dim = 6574592) Wed Dec 24 23:26:44 2025 recovered 29 nontrivial dependencies Wed Dec 24 23:26:44 2025 BLanczosTime: 3355 Wed Dec 24 23:26:44 2025 elapsed time 00:55:56 Wed Dec 24 23:26:45 2025 Wed Dec 24 23:26:45 2025 Wed Dec 24 23:26:45 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Dec 24 23:26:45 2025 random seeds: ca3d2cf1 b9caafde Wed Dec 24 23:26:45 2025 Using 8 OpenMP threads Wed Dec 24 23:26:45 2025 factoring 67074379008834369018720416669345407605988697062728222294637139939439210329805865626896861974382480650744169376377309076624855752304820138443157375043456748588805807 (164 digits) Wed Dec 24 23:26:45 2025 searching for 15-digit factors Wed Dec 24 23:26:46 2025 commencing number field sieve (164-digit input) Wed Dec 24 23:26:46 2025 R0: -107742851213498275783157619674551 Wed Dec 24 23:26:46 2025 R1: 510631124785724459239 Wed Dec 24 23:26:46 2025 A0: -13778743413185433495956928735489122386020 Wed Dec 24 23:26:46 2025 A1: 12827301115912249185068786579374548 Wed Dec 24 23:26:46 2025 A2: 194555987177021906288574801 Wed Dec 24 23:26:46 2025 A3: -31561673090709137717 Wed Dec 24 23:26:46 2025 A4: -123908960834 Wed Dec 24 23:26:46 2025 A5: 9240 Wed Dec 24 23:26:46 2025 skew 1.00, size 7.974e-16, alpha -7.690, combined = 3.613e-15 rroots = 5 Wed Dec 24 23:26:46 2025 Wed Dec 24 23:26:46 2025 commencing square root phase Wed Dec 24 23:26:46 2025 reading relations for dependency 1 Wed Dec 24 23:26:46 2025 read 3286964 cycles Wed Dec 24 23:26:51 2025 cycles contain 10268094 unique relations Wed Dec 24 23:27:16 2025 read 10268094 relations Wed Dec 24 23:27:56 2025 multiplying 10268094 relations Wed Dec 24 23:29:07 2025 multiply complete, coefficients have about 516.91 million bits Wed Dec 24 23:29:14 2025 initial square root is modulo 1883742019 Wed Dec 24 23:31:58 2025 sqrtTime: 312 Wed Dec 24 23:31:58 2025 p70 factor: 4937749425298810009325004280630014788399831460867775125903042448436317 Wed Dec 24 23:31:58 2025 p95 factor: 13583998139957321630967316367947099879862109920513007813866225623917711155000043023508323726971 Wed Dec 24 23:31:58 2025 elapsed time 00:05:13