Fri May 1 10:06:57 2026 Fri May 1 10:06:57 2026 Fri May 1 10:06:57 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri May 1 10:06:57 2026 random seeds: 686c732c 2082b94c Fri May 1 10:06:57 2026 MPI process 0 of 1 Fri May 1 10:06:57 2026 Using 46 OpenMP threads Fri May 1 10:06:57 2026 factoring 475124954795288860129705042192865805219563886611137707745256496004970537225839911490841533785739561088207738818567789939053711429964982878456082732389300441952218103118455912743476379439 (186 digits) Fri May 1 10:06:57 2026 no P-1/P+1/ECM available, skipping Fri May 1 10:06:57 2026 commencing number field sieve (186-digit input) Fri May 1 10:06:57 2026 R0: 278149787999229560574306992271448827842 Fri May 1 10:06:57 2026 R1: -16677823239236874721 Fri May 1 10:06:57 2026 A0: -1 Fri May 1 10:06:57 2026 A1: 3 Fri May 1 10:06:57 2026 A2: 6 Fri May 1 10:06:57 2026 A3: -4 Fri May 1 10:06:57 2026 A4: -5 Fri May 1 10:06:57 2026 A5: 1 Fri May 1 10:06:57 2026 A6: 1 Fri May 1 10:06:57 2026 skew 1.37, size 2.337e-11, alpha 3.126, combined = 1.165e-12 rroots = 6 Fri May 1 10:06:57 2026 Fri May 1 10:06:57 2026 commencing relation filtering Fri May 1 10:06:57 2026 setting target matrix density to 110.0 Fri May 1 10:06:57 2026 estimated available RAM is 773418.9 MB Fri May 1 10:06:57 2026 commencing duplicate removal, pass 1 Fri May 1 10:07:47 2026 skipped 4 relations with b > 2^32 Fri May 1 10:07:47 2026 skipped 26 malformed relations Fri May 1 10:07:47 2026 found 4749989 hash collisions in 104265510 relations Fri May 1 10:07:52 2026 added 2438358 free relations Fri May 1 10:07:52 2026 commencing duplicate removal, pass 2 Fri May 1 10:08:13 2026 found 0 duplicates and 106703868 unique relations Fri May 1 10:08:13 2026 memory use: 277.2 MB Fri May 1 10:08:13 2026 reading ideals above 720000 Fri May 1 10:08:13 2026 commencing singleton removal, initial pass Fri May 1 10:10:55 2026 memory use: 3012.0 MB Fri May 1 10:10:55 2026 reading all ideals from disk Fri May 1 10:10:57 2026 memory use: 4809.1 MB Fri May 1 10:11:01 2026 keeping 111185109 ideals with weight <= 200, target excess is 545080 Fri May 1 10:11:07 2026 commencing in-memory singleton removal Fri May 1 10:11:07 2026 begin with 106703868 relations and 111185109 unique ideals Fri May 1 10:11:11 2026 reduce to 47869806 relations and 43464474 ideals in 18 passes Fri May 1 10:11:11 2026 max relations containing the same ideal: 119 Fri May 1 10:11:21 2026 removing 3714646 relations and 3314646 ideals in 400000 cliques Fri May 1 10:11:22 2026 commencing in-memory singleton removal Fri May 1 10:11:22 2026 begin with 44155160 relations and 43464474 unique ideals Fri May 1 10:11:23 2026 reduce to 43887454 relations and 39878742 ideals in 10 passes Fri May 1 10:11:23 2026 max relations containing the same ideal: 113 Fri May 1 10:11:32 2026 removing 2754366 relations and 2354366 ideals in 400000 cliques Fri May 1 10:11:34 2026 commencing in-memory singleton removal Fri May 1 10:11:34 2026 begin with 41133088 relations and 39878742 unique ideals Fri May 1 10:11:35 2026 reduce to 40972510 relations and 37362201 ideals in 10 passes Fri May 1 10:11:35 2026 max relations containing the same ideal: 108 Fri May 1 10:11:43 2026 removing 2456827 relations and 2056827 ideals in 400000 cliques Fri May 1 10:11:44 2026 commencing in-memory singleton removal Fri May 1 10:11:44 2026 begin with 38515683 relations and 37362201 unique ideals Fri May 1 10:11:45 2026 reduce to 38382108 relations and 35170484 ideals in 9 passes Fri May 1 10:11:45 2026 max relations containing the same ideal: 103 Fri May 1 10:11:53 2026 removing 2296911 relations and 1896911 ideals in 400000 cliques Fri May 1 10:11:54 2026 commencing in-memory singleton removal Fri May 1 10:11:54 2026 begin with 36085197 relations and 35170484 unique ideals Fri May 1 10:11:55 2026 reduce to 35961012 relations and 33148124 ideals in 9 passes Fri May 1 10:11:55 2026 max relations containing the same ideal: 97 Fri May 1 10:12:02 2026 removing 2195259 relations and 1795259 ideals in 400000 cliques Fri May 1 10:12:03 2026 commencing in-memory singleton removal Fri May 1 10:12:03 2026 begin with 33765753 relations and 33148124 unique ideals Fri May 1 10:12:04 2026 reduce to 33648624 relations and 31234503 ideals in 8 passes Fri May 1 10:12:04 2026 max relations containing the same ideal: 94 Fri May 1 10:12:11 2026 removing 2127650 relations and 1727650 ideals in 400000 cliques Fri May 1 10:12:12 2026 commencing in-memory singleton removal Fri May 1 10:12:12 2026 begin with 31520974 relations and 31234503 unique ideals Fri May 1 10:12:13 2026 reduce to 31404259 relations and 29388850 ideals in 8 passes Fri May 1 10:12:13 2026 max relations containing the same ideal: 92 Fri May 1 10:12:19 2026 removing 2076509 relations and 1676509 ideals in 400000 cliques Fri May 1 10:12:20 2026 commencing in-memory singleton removal Fri May 1 10:12:20 2026 begin with 29327750 relations and 29388850 unique ideals Fri May 1 10:12:21 2026 reduce to 29211441 relations and 27594658 ideals in 8 passes Fri May 1 10:12:21 2026 max relations containing the same ideal: 88 Fri May 1 10:12:27 2026 removing 2037655 relations and 1637655 ideals in 400000 cliques Fri May 1 10:12:27 2026 commencing in-memory singleton removal Fri May 1 10:12:28 2026 begin with 27173786 relations and 27594658 unique ideals Fri May 1 10:12:28 2026 reduce to 27055288 relations and 25837080 ideals in 8 passes Fri May 1 10:12:28 2026 max relations containing the same ideal: 83 Fri May 1 10:12:34 2026 removing 2012130 relations and 1612130 ideals in 400000 cliques Fri May 1 10:12:34 2026 commencing in-memory singleton removal Fri May 1 10:12:35 2026 begin with 25043158 relations and 25837080 unique ideals Fri May 1 10:12:35 2026 reduce to 24919235 relations and 24099396 ideals in 8 passes Fri May 1 10:12:35 2026 max relations containing the same ideal: 79 Fri May 1 10:12:40 2026 removing 1079331 relations and 891785 ideals in 187546 cliques Fri May 1 10:12:41 2026 commencing in-memory singleton removal Fri May 1 10:12:41 2026 begin with 23839904 relations and 24099396 unique ideals Fri May 1 10:12:41 2026 reduce to 23804177 relations and 23171646 ideals in 7 passes Fri May 1 10:12:41 2026 max relations containing the same ideal: 77 Fri May 1 10:12:49 2026 relations with 0 large ideals: 41791 Fri May 1 10:12:49 2026 relations with 1 large ideals: 10179 Fri May 1 10:12:49 2026 relations with 2 large ideals: 123646 Fri May 1 10:12:49 2026 relations with 3 large ideals: 776559 Fri May 1 10:12:49 2026 relations with 4 large ideals: 2628480 Fri May 1 10:12:49 2026 relations with 5 large ideals: 5249770 Fri May 1 10:12:49 2026 relations with 6 large ideals: 6415185 Fri May 1 10:12:49 2026 relations with 7+ large ideals: 8558567 Fri May 1 10:12:49 2026 commencing 2-way merge Fri May 1 10:12:58 2026 reduce to 14465457 relation sets and 13832926 unique ideals Fri May 1 10:12:58 2026 commencing full merge Fri May 1 10:16:33 2026 memory use: 1917.8 MB Fri May 1 10:16:34 2026 found 6531907 cycles, need 6529126 Fri May 1 10:16:35 2026 weight of 6529126 cycles is about 718782678 (110.09/cycle) Fri May 1 10:16:35 2026 distribution of cycle lengths: Fri May 1 10:16:35 2026 1 relations: 515668 Fri May 1 10:16:35 2026 2 relations: 515008 Fri May 1 10:16:35 2026 3 relations: 502376 Fri May 1 10:16:35 2026 4 relations: 476255 Fri May 1 10:16:35 2026 5 relations: 452182 Fri May 1 10:16:35 2026 6 relations: 427446 Fri May 1 10:16:35 2026 7 relations: 399947 Fri May 1 10:16:35 2026 8 relations: 371303 Fri May 1 10:16:35 2026 9 relations: 345422 Fri May 1 10:16:35 2026 10+ relations: 2523519 Fri May 1 10:16:35 2026 heaviest cycle: 28 relations Fri May 1 10:16:36 2026 commencing cycle optimization Fri May 1 10:16:44 2026 start with 56969867 relations Fri May 1 10:18:05 2026 pruned 2159565 relations Fri May 1 10:18:05 2026 memory use: 1556.6 MB Fri May 1 10:18:05 2026 distribution of cycle lengths: Fri May 1 10:18:05 2026 1 relations: 515668 Fri May 1 10:18:05 2026 2 relations: 524605 Fri May 1 10:18:05 2026 3 relations: 519010 Fri May 1 10:18:05 2026 4 relations: 491240 Fri May 1 10:18:05 2026 5 relations: 469784 Fri May 1 10:18:05 2026 6 relations: 442362 Fri May 1 10:18:05 2026 7 relations: 414306 Fri May 1 10:18:05 2026 8 relations: 383550 Fri May 1 10:18:05 2026 9 relations: 356608 Fri May 1 10:18:05 2026 10+ relations: 2411993 Fri May 1 10:18:05 2026 heaviest cycle: 28 relations Fri May 1 10:18:12 2026 RelProcTime: 675 Fri May 1 10:18:12 2026 elapsed time 00:11:15 Fri May 1 10:18:14 2026 Fri May 1 10:18:14 2026 Fri May 1 10:18:14 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri May 1 10:18:14 2026 random seeds: 6949ce34 605bb5a8 Fri May 1 10:18:14 2026 MPI process 0 of 1 Fri May 1 10:18:14 2026 Using 46 OpenMP threads Fri May 1 10:18:14 2026 factoring 475124954795288860129705042192865805219563886611137707745256496004970537225839911490841533785739561088207738818567789939053711429964982878456082732389300441952218103118455912743476379439 (186 digits) Fri May 1 10:18:14 2026 no P-1/P+1/ECM available, skipping Fri May 1 10:18:14 2026 commencing number field sieve (186-digit input) Fri May 1 10:18:14 2026 R0: 278149787999229560574306992271448827842 Fri May 1 10:18:14 2026 R1: -16677823239236874721 Fri May 1 10:18:14 2026 A0: -1 Fri May 1 10:18:14 2026 A1: 3 Fri May 1 10:18:14 2026 A2: 6 Fri May 1 10:18:14 2026 A3: -4 Fri May 1 10:18:14 2026 A4: -5 Fri May 1 10:18:14 2026 A5: 1 Fri May 1 10:18:14 2026 A6: 1 Fri May 1 10:18:14 2026 skew 1.37, size 2.337e-11, alpha 3.126, combined = 1.165e-12 rroots = 6 Fri May 1 10:18:14 2026 Fri May 1 10:18:14 2026 commencing linear algebra Fri May 1 10:18:14 2026 using VBITS=256 Fri May 1 10:18:14 2026 stopping after matrix build Fri May 1 10:18:14 2026 initialized process (0,0) of 1 x 1 grid Fri May 1 10:18:15 2026 read 6529126 cycles Fri May 1 10:18:23 2026 cycles contain 23374510 unique relations Fri May 1 10:18:31 2026 read 23374510 relations Fri May 1 10:18:33 2026 using 20 quadratic characters above 4294917295 Fri May 1 10:18:36 2026 building initial matrix Fri May 1 10:21:28 2026 memory use: 2788.6 MB Fri May 1 10:21:33 2026 read 6529126 cycles Fri May 1 10:21:34 2026 matrix is 6528949 x 6529126 (2831.8 MB) with weight 801534945 (122.76/col) Fri May 1 10:21:34 2026 sparse part has weight 677060552 (103.70/col) Fri May 1 10:22:19 2026 filtering completed in 2 passes Fri May 1 10:22:20 2026 matrix is 6528793 x 6528955 (2831.8 MB) with weight 801530102 (122.77/col) Fri May 1 10:22:20 2026 sparse part has weight 677058965 (103.70/col) Fri May 1 10:22:31 2026 BLanczosTime: 257 Fri May 1 10:22:31 2026 elapsed time 00:04:17 Fri May 1 10:22:33 2026 Fri May 1 10:22:33 2026 Fri May 1 10:22:33 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri May 1 10:22:33 2026 random seeds: dce95d3f 2258d030 Fri May 1 10:22:33 2026 MPI process 0 of 1 Fri May 1 10:22:33 2026 Using 6 OpenMP threads Fri May 1 10:22:33 2026 factoring 475124954795288860129705042192865805219563886611137707745256496004970537225839911490841533785739561088207738818567789939053711429964982878456082732389300441952218103118455912743476379439 (186 digits) Fri May 1 10:22:33 2026 no P-1/P+1/ECM available, skipping Fri May 1 10:22:33 2026 commencing number field sieve (186-digit input) Fri May 1 10:22:33 2026 R0: 278149787999229560574306992271448827842 Fri May 1 10:22:33 2026 R1: -16677823239236874721 Fri May 1 10:22:33 2026 A0: -1 Fri May 1 10:22:33 2026 A1: 3 Fri May 1 10:22:33 2026 A2: 6 Fri May 1 10:22:33 2026 A3: -4 Fri May 1 10:22:33 2026 A4: -5 Fri May 1 10:22:33 2026 A5: 1 Fri May 1 10:22:33 2026 A6: 1 Fri May 1 10:22:33 2026 skew 1.37, size 2.337e-11, alpha 3.126, combined = 1.165e-12 rroots = 6 Fri May 1 10:22:33 2026 Fri May 1 10:22:33 2026 commencing linear algebra Fri May 1 10:22:33 2026 using VBITS=256 Fri May 1 10:22:33 2026 skipping matrix build Fri May 1 10:22:33 2026 initialized process (0,0) of 1 x 1 grid Fri May 1 10:22:37 2026 matrix starts at (0, 0) Fri May 1 10:22:38 2026 matrix is 6528793 x 6528955 (2831.8 MB) with weight 801530102 (122.77/col) Fri May 1 10:22:38 2026 sparse part has weight 677058965 (103.70/col) Fri May 1 10:22:38 2026 saving the first 240 matrix rows for later Fri May 1 10:22:39 2026 matrix includes 256 packed rows Fri May 1 10:22:40 2026 matrix is 6528553 x 6528955 (2616.8 MB) with weight 613577564 (93.98/col) Fri May 1 10:22:40 2026 sparse part has weight 581518542 (89.07/col) Fri May 1 10:22:40 2026 using GPU 0 (NVIDIA A100-SXM4-40GB) Fri May 1 10:22:40 2026 selected card has CUDA arch 8.0 Fri May 1 10:23:22 2026 commencing Lanczos iteration Fri May 1 10:23:23 2026 memory use: 6279.7 MB Fri May 1 10:23:34 2026 linear algebra at 0.5%, ETA 0h38m Fri May 1 10:23:51 2026 checking every 160000 dimensions, checkpointing every 9920000 dimensions Fri May 1 11:03:05 2026 lanczos halted after 25580 iterations (dim = 6528552) Fri May 1 11:03:29 2026 recovered 36 nontrivial dependencies Fri May 1 11:03:29 2026 BLanczosTime: 2456 Fri May 1 11:03:29 2026 elapsed time 00:40:56 Fri May 1 11:17:35 2026 Fri May 1 11:17:35 2026 Fri May 1 11:17:35 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri May 1 11:17:35 2026 random seeds: d3dd1122 8d22d40b Fri May 1 11:17:35 2026 MPI process 0 of 1 Fri May 1 11:17:35 2026 Using 32 OpenMP threads Fri May 1 11:17:35 2026 factoring 475124954795288860129705042192865805219563886611137707745256496004970537225839911490841533785739561088207738818567789939053711429964982878456082732389300441952218103118455912743476379439 (186 digits) Fri May 1 11:17:35 2026 no P-1/P+1/ECM available, skipping Fri May 1 11:17:35 2026 commencing number field sieve (186-digit input) Fri May 1 11:17:35 2026 R0: 278149787999229560574306992271448827842 Fri May 1 11:17:35 2026 R1: -16677823239236874721 Fri May 1 11:17:35 2026 A0: -1 Fri May 1 11:17:35 2026 A1: 3 Fri May 1 11:17:35 2026 A2: 6 Fri May 1 11:17:35 2026 A3: -4 Fri May 1 11:17:35 2026 A4: -5 Fri May 1 11:17:35 2026 A5: 1 Fri May 1 11:17:35 2026 A6: 1 Fri May 1 11:17:35 2026 skew 1.37, size 2.337e-11, alpha 3.126, combined = 1.165e-12 rroots = 6 Fri May 1 11:17:35 2026 Fri May 1 11:17:35 2026 commencing square root phase Fri May 1 11:17:35 2026 reading relations for dependency 1 Fri May 1 11:17:36 2026 read 3266321 cycles Fri May 1 11:17:40 2026 cycles contain 11689050 unique relations Fri May 1 11:17:47 2026 read 11689050 relations Fri May 1 11:18:13 2026 multiplying 11689050 relations Fri May 1 11:18:39 2026 multiply complete, coefficients have about 282.49 million bits Fri May 1 11:18:40 2026 initial square root is modulo 117223 Fri May 1 11:19:52 2026 sqrtTime: 137 Fri May 1 11:19:52 2026 p74 factor: 34792941923811807427698623526273564623891801399681973906565381791250092023 Fri May 1 11:19:52 2026 p113 factor: 13655785585355170081127431415696150102496663350882750813648985173888766918441191614858631412547754571037031853193 Fri May 1 11:19:52 2026 elapsed time 00:02:17