Tue Apr 21 21:30:35 2026 Tue Apr 21 21:30:35 2026 Tue Apr 21 21:30:35 2026 Msieve v. 1.54 (SVN unknown) Tue Apr 21 21:30:35 2026 random seeds: 1af1422b e38e7e0d Tue Apr 21 21:30:35 2026 factoring 85831312945444981269944467839331400355233375708820370333240267236218442721209454586265481556334325798531773478572183619868667360613385822336455737025013828303794621181 (167 digits) Tue Apr 21 21:30:35 2026 no P-1/P+1/ECM available, skipping Tue Apr 21 21:30:35 2026 commencing number field sieve (167-digit input) Tue Apr 21 21:30:35 2026 R0: -237269836014648785333591403536460 Tue Apr 21 21:30:35 2026 R1: 382627071658060216283777 Tue Apr 21 21:30:35 2026 A0: -693595618982291298147778470183179316754 Tue Apr 21 21:30:35 2026 A1: -171015633362383143226919996791551 Tue Apr 21 21:30:35 2026 A2: 290658589006878893903088632 Tue Apr 21 21:30:35 2026 A3: -39656283408161204825 Tue Apr 21 21:30:35 2026 A4: -13084631430582 Tue Apr 21 21:30:35 2026 A5: 249480 Tue Apr 21 21:30:35 2026 skew 4144497.55, size 3.386e-16, alpha -7.018, combined = 6.049e-13 rroots = 3 Tue Apr 21 21:30:35 2026 Tue Apr 21 21:30:35 2026 commencing relation filtering Tue Apr 21 21:30:35 2026 setting target matrix density to 84.0 Tue Apr 21 21:30:35 2026 estimated available RAM is 128742.2 MB Tue Apr 21 21:30:35 2026 commencing duplicate removal, pass 1 Tue Apr 21 22:11:50 2026 found 7304228 hash collisions in 182138429 relations Tue Apr 21 22:12:38 2026 added 121827 free relations Tue Apr 21 22:12:38 2026 commencing duplicate removal, pass 2 Tue Apr 21 22:14:49 2026 found 0 duplicates and 182260256 unique relations Tue Apr 21 22:14:49 2026 memory use: 554.4 MB Tue Apr 21 22:14:49 2026 reading ideals above 720000 Tue Apr 21 22:14:49 2026 commencing singleton removal, initial pass Tue Apr 21 22:59:32 2026 memory use: 5512.0 MB Tue Apr 21 22:59:33 2026 reading all ideals from disk Tue Apr 21 23:00:27 2026 memory use: 8378.7 MB Tue Apr 21 23:01:04 2026 keeping 180654582 ideals with weight <= 200, target excess is 897968 Tue Apr 21 23:01:51 2026 commencing in-memory singleton removal Tue Apr 21 23:02:47 2026 begin with 182260256 relations and 180654582 unique ideals Tue Apr 21 23:06:56 2026 reduce to 94987732 relations and 82865521 ideals in 16 passes Tue Apr 21 23:06:56 2026 max relations containing the same ideal: 137 Tue Apr 21 23:08:32 2026 removing 11935727 relations and 9935727 ideals in 2000000 cliques Tue Apr 21 23:08:39 2026 commencing in-memory singleton removal Tue Apr 21 23:09:04 2026 begin with 83052005 relations and 82865521 unique ideals Tue Apr 21 23:10:21 2026 reduce to 81803745 relations and 71647772 ideals in 9 passes Tue Apr 21 23:10:21 2026 max relations containing the same ideal: 127 Tue Apr 21 23:11:30 2026 removing 9288751 relations and 7288751 ideals in 2000000 cliques Tue Apr 21 23:11:36 2026 commencing in-memory singleton removal Tue Apr 21 23:11:55 2026 begin with 72514994 relations and 71647772 unique ideals Tue Apr 21 23:13:01 2026 reduce to 71610453 relations and 63431890 ideals in 9 passes Tue Apr 21 23:13:01 2026 max relations containing the same ideal: 111 Tue Apr 21 23:14:02 2026 removing 8548686 relations and 6548686 ideals in 2000000 cliques Tue Apr 21 23:14:06 2026 commencing in-memory singleton removal Tue Apr 21 23:14:23 2026 begin with 63061767 relations and 63431890 unique ideals Tue Apr 21 23:15:18 2026 reduce to 62179867 relations and 55977927 ideals in 9 passes Tue Apr 21 23:15:18 2026 max relations containing the same ideal: 107 Tue Apr 21 23:16:12 2026 removing 8241115 relations and 6241115 ideals in 2000000 cliques Tue Apr 21 23:16:16 2026 commencing in-memory singleton removal Tue Apr 21 23:16:30 2026 begin with 53938752 relations and 55977927 unique ideals Tue Apr 21 23:17:22 2026 reduce to 52990082 relations and 48760258 ideals in 10 passes Tue Apr 21 23:17:22 2026 max relations containing the same ideal: 95 Tue Apr 21 23:18:08 2026 removing 8142526 relations and 6142526 ideals in 2000000 cliques Tue Apr 21 23:18:12 2026 commencing in-memory singleton removal Tue Apr 21 23:18:23 2026 begin with 44847556 relations and 48760258 unique ideals Tue Apr 21 23:19:03 2026 reduce to 43744808 relations and 41477223 ideals in 9 passes Tue Apr 21 23:19:03 2026 max relations containing the same ideal: 83 Tue Apr 21 23:19:41 2026 removing 5659705 relations and 4433763 ideals in 1225942 cliques Tue Apr 21 23:19:44 2026 commencing in-memory singleton removal Tue Apr 21 23:19:54 2026 begin with 38085103 relations and 41477223 unique ideals Tue Apr 21 23:20:27 2026 reduce to 37464295 relations and 36407238 ideals in 9 passes Tue Apr 21 23:20:27 2026 max relations containing the same ideal: 73 Tue Apr 21 23:21:00 2026 removing 152480 relations and 137066 ideals in 15414 cliques Tue Apr 21 23:21:02 2026 commencing in-memory singleton removal Tue Apr 21 23:21:12 2026 begin with 37311815 relations and 36407238 unique ideals Tue Apr 21 23:21:30 2026 reduce to 37311475 relations and 36269832 ideals in 5 passes Tue Apr 21 23:21:30 2026 max relations containing the same ideal: 73 Tue Apr 21 23:21:40 2026 relations with 0 large ideals: 3385 Tue Apr 21 23:21:40 2026 relations with 1 large ideals: 21982 Tue Apr 21 23:21:40 2026 relations with 2 large ideals: 303423 Tue Apr 21 23:21:40 2026 relations with 3 large ideals: 1730727 Tue Apr 21 23:21:40 2026 relations with 4 large ideals: 5282795 Tue Apr 21 23:21:40 2026 relations with 5 large ideals: 9463742 Tue Apr 21 23:21:40 2026 relations with 6 large ideals: 10341430 Tue Apr 21 23:21:40 2026 relations with 7+ large ideals: 10163991 Tue Apr 21 23:21:40 2026 commencing 2-way merge Tue Apr 21 23:22:26 2026 reduce to 22461826 relation sets and 21420183 unique ideals Tue Apr 21 23:22:26 2026 commencing full merge Tue Apr 21 23:30:26 2026 memory use: 2417.9 MB Tue Apr 21 23:30:30 2026 found 11040997 cycles, need 10904383 Tue Apr 21 23:30:35 2026 weight of 10904383 cycles is about 916106517 (84.01/cycle) Tue Apr 21 23:30:35 2026 distribution of cycle lengths: Tue Apr 21 23:30:35 2026 1 relations: 1232879 Tue Apr 21 23:30:35 2026 2 relations: 1083746 Tue Apr 21 23:30:35 2026 3 relations: 1098355 Tue Apr 21 23:30:35 2026 4 relations: 1046559 Tue Apr 21 23:30:35 2026 5 relations: 994148 Tue Apr 21 23:30:35 2026 6 relations: 912694 Tue Apr 21 23:30:35 2026 7 relations: 822616 Tue Apr 21 23:30:35 2026 8 relations: 736207 Tue Apr 21 23:30:35 2026 9 relations: 635642 Tue Apr 21 23:30:35 2026 10+ relations: 2341537 Tue Apr 21 23:30:35 2026 heaviest cycle: 22 relations Tue Apr 21 23:30:39 2026 commencing cycle optimization Tue Apr 21 23:31:07 2026 start with 68316338 relations Tue Apr 21 23:33:29 2026 pruned 1777510 relations Tue Apr 21 23:33:30 2026 memory use: 2208.4 MB Tue Apr 21 23:33:30 2026 distribution of cycle lengths: Tue Apr 21 23:33:30 2026 1 relations: 1232879 Tue Apr 21 23:33:30 2026 2 relations: 1109482 Tue Apr 21 23:33:30 2026 3 relations: 1137210 Tue Apr 21 23:33:30 2026 4 relations: 1073752 Tue Apr 21 23:33:30 2026 5 relations: 1022603 Tue Apr 21 23:33:30 2026 6 relations: 932225 Tue Apr 21 23:33:30 2026 7 relations: 839590 Tue Apr 21 23:33:30 2026 8 relations: 744181 Tue Apr 21 23:33:30 2026 9 relations: 636801 Tue Apr 21 23:33:30 2026 10+ relations: 2175660 Tue Apr 21 23:33:30 2026 heaviest cycle: 22 relations Tue Apr 21 23:33:52 2026 RelProcTime: 7397 Tue Apr 21 23:33:57 2026 elapsed time 02:03:22 Wed Apr 22 01:35:38 2026 Wed Apr 22 01:35:38 2026 Wed Apr 22 01:35:38 2026 Msieve v. 1.54 (SVN unknown) Wed Apr 22 01:35:38 2026 random seeds: fe439bf2 024d1b8b Wed Apr 22 01:35:38 2026 factoring 85831312945444981269944467839331400355233375708820370333240267236218442721209454586265481556334325798531773478572183619868667360613385822336455737025013828303794621181 (167 digits) Wed Apr 22 01:35:39 2026 no P-1/P+1/ECM available, skipping Wed Apr 22 01:35:39 2026 commencing number field sieve (167-digit input) Wed Apr 22 01:35:39 2026 R0: -237269836014648785333591403536460 Wed Apr 22 01:35:39 2026 R1: 382627071658060216283777 Wed Apr 22 01:35:39 2026 A0: -693595618982291298147778470183179316754 Wed Apr 22 01:35:39 2026 A1: -171015633362383143226919996791551 Wed Apr 22 01:35:39 2026 A2: 290658589006878893903088632 Wed Apr 22 01:35:39 2026 A3: -39656283408161204825 Wed Apr 22 01:35:39 2026 A4: -13084631430582 Wed Apr 22 01:35:39 2026 A5: 249480 Wed Apr 22 01:35:39 2026 skew 4144497.55, size 3.386e-16, alpha -7.018, combined = 6.049e-13 rroots = 3 Wed Apr 22 01:35:39 2026 Wed Apr 22 01:35:39 2026 commencing linear algebra Wed Apr 22 01:35:39 2026 using VBITS=128 Wed Apr 22 01:35:41 2026 read 10904383 cycles Wed Apr 22 01:36:10 2026 cycles contain 36498566 unique relations Wed Apr 22 01:42:36 2026 read 36498566 relations Wed Apr 22 01:43:54 2026 using 20 quadratic characters above 4294917295 Wed Apr 22 01:47:52 2026 building initial matrix Wed Apr 22 01:59:22 2026 memory use: 5017.6 MB Wed Apr 22 01:59:33 2026 read 10904383 cycles Wed Apr 22 01:59:35 2026 matrix is 10904202 x 10904383 (3858.2 MB) with weight 1198616277 (109.92/col) Wed Apr 22 01:59:35 2026 sparse part has weight 880552481 (80.75/col) Wed Apr 22 02:02:33 2026 filtering completed in 2 passes Wed Apr 22 02:02:36 2026 matrix is 10896794 x 10896973 (3857.5 MB) with weight 1198307860 (109.97/col) Wed Apr 22 02:02:36 2026 sparse part has weight 880465726 (80.80/col) Wed Apr 22 02:03:36 2026 matrix starts at (0, 0) Wed Apr 22 02:03:39 2026 matrix is 10896794 x 10896973 (3857.5 MB) with weight 1198307860 (109.97/col) Wed Apr 22 02:03:39 2026 sparse part has weight 880465726 (80.80/col) Wed Apr 22 02:03:39 2026 saving the first 112 matrix rows for later Wed Apr 22 02:03:42 2026 matrix includes 128 packed rows Wed Apr 22 02:03:46 2026 matrix is 10896682 x 10896973 (3565.7 MB) with weight 868444157 (79.70/col) Wed Apr 22 02:03:46 2026 sparse part has weight 803956297 (73.78/col) Wed Apr 22 02:03:47 2026 using GPU 0 (Tesla P100-PCIE-16GB) Wed Apr 22 02:03:47 2026 selected card has CUDA arch 6.0 Wed Apr 22 02:06:23 2026 commencing Lanczos iteration Wed Apr 22 02:06:24 2026 memory use: 7547.0 MB Wed Apr 22 02:08:40 2026 linear algebra at 0.3%, ETA 13h26m Wed Apr 22 02:09:16 2026 checking every 10000 dimensions, checkpointing every 810000 dimensions Wed Apr 22 15:24:56 2026 lanczos halted after 85646 iterations (dim = 10896682) Wed Apr 22 15:25:21 2026 recovered 30 nontrivial dependencies Wed Apr 22 15:25:22 2026 BLanczosTime: 49783 Wed Apr 22 15:25:22 2026 Wed Apr 22 15:25:22 2026 commencing square root phase Wed Apr 22 15:25:22 2026 reading relations for dependency 1 Wed Apr 22 15:25:27 2026 read 5449063 cycles Wed Apr 22 15:25:42 2026 cycles contain 18249596 unique relations Wed Apr 22 15:29:22 2026 read 18249596 relations Wed Apr 22 15:31:47 2026 multiplying 18249596 relations Wed Apr 22 16:05:01 2026 multiply complete, coefficients have about 1021.87 million bits Wed Apr 22 16:05:12 2026 initial square root is modulo 1471224809 Wed Apr 22 16:39:16 2026 GCD is 1, no factor found Wed Apr 22 16:39:16 2026 reading relations for dependency 2 Wed Apr 22 16:39:20 2026 read 5447781 cycles Wed Apr 22 16:39:35 2026 cycles contain 18243936 unique relations Wed Apr 22 16:42:52 2026 read 18243936 relations Wed Apr 22 16:45:18 2026 multiplying 18243936 relations Wed Apr 22 17:18:36 2026 multiply complete, coefficients have about 1021.55 million bits Wed Apr 22 17:18:48 2026 initial square root is modulo 1461530149 Wed Apr 22 17:52:41 2026 sqrtTime: 8839 Wed Apr 22 17:52:41 2026 p65 factor: 36680020746483784797457833702984544281476513299414122298825367123 Wed Apr 22 17:52:41 2026 p103 factor: 2340001755688018006840141626995221482976538556789827846797479308340218765873639106030223493597288916847 Wed Apr 22 17:52:41 2026 elapsed time 16:17:03