Sun May 18 01:10:14 2025 Sun May 18 01:10:14 2025 Sun May 18 01:10:14 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun May 18 01:10:14 2025 random seeds: 99d2e61b e88ecff4 Sun May 18 01:10:14 2025 MPI process 0 of 1 Sun May 18 01:10:14 2025 Using 64 OpenMP threads Sun May 18 01:10:14 2025 factoring 1726105559592021473305347430081852532073504775398282140435174801473093438049595633419213044294126345446063473503398821322677236181829827419919172394377870853032518797976833088507638491785331978032024625294395948515409381 (220 digits) Sun May 18 01:10:15 2025 no P-1/P+1/ECM available, skipping Sun May 18 01:10:15 2025 commencing number field sieve (220-digit input) Sun May 18 01:10:15 2025 R0: 19618141284259695380952209021534139922309 Sun May 18 01:10:15 2025 R1: -1 Sun May 18 01:10:15 2025 A0: -29989 Sun May 18 01:10:15 2025 A1: 0 Sun May 18 01:10:15 2025 A2: 0 Sun May 18 01:10:15 2025 A3: 0 Sun May 18 01:10:15 2025 A4: 0 Sun May 18 01:10:15 2025 A5: 0 Sun May 18 01:10:15 2025 A6: 1 Sun May 18 01:10:15 2025 skew 7.17, size 9.390e-12, alpha -3.022, combined = 6.040e-13 rroots = 2 Sun May 18 01:10:15 2025 Sun May 18 01:10:15 2025 commencing relation filtering Sun May 18 01:10:15 2025 setting target matrix density to 80.0 Sun May 18 01:10:15 2025 estimated available RAM is 1031760.2 MB Sun May 18 01:10:15 2025 commencing duplicate removal, pass 1 Sun May 18 01:10:33 2025 error -15 reading relation 41418929 Sun May 18 01:11:05 2025 error -5 reading relation 114594927 Sun May 18 01:11:08 2025 skipped 2 relations with b > 2^32 Sun May 18 01:11:08 2025 skipped 2 relations with composite factors Sun May 18 01:11:08 2025 skipped 72 malformed relations Sun May 18 01:11:08 2025 found 6400769 hash collisions in 121658295 relations Sun May 18 01:11:15 2025 commencing duplicate removal, pass 2 Sun May 18 01:11:35 2025 found 0 duplicates and 121658295 unique relations Sun May 18 01:11:35 2025 memory use: 394.4 MB Sun May 18 01:11:35 2025 reading ideals above 720000 Sun May 18 01:11:35 2025 commencing singleton removal, initial pass Sun May 18 01:14:08 2025 memory use: 3012.0 MB Sun May 18 01:14:08 2025 reading all ideals from disk Sun May 18 01:14:10 2025 memory use: 5598.9 MB Sun May 18 01:14:14 2025 keeping 122939358 ideals with weight <= 200, target excess is 586904 Sun May 18 01:14:20 2025 commencing in-memory singleton removal Sun May 18 01:14:20 2025 begin with 121658295 relations and 122939358 unique ideals Sun May 18 01:14:23 2025 reduce to 65020542 relations and 59153124 ideals in 16 passes Sun May 18 01:14:23 2025 max relations containing the same ideal: 139 Sun May 18 01:14:35 2025 removing 7025788 relations and 6025788 ideals in 1000000 cliques Sun May 18 01:14:37 2025 commencing in-memory singleton removal Sun May 18 01:14:38 2025 begin with 57994754 relations and 59153124 unique ideals Sun May 18 01:14:39 2025 reduce to 57333766 relations and 52452373 ideals in 11 passes Sun May 18 01:14:39 2025 max relations containing the same ideal: 126 Sun May 18 01:14:49 2025 removing 5376747 relations and 4376748 ideals in 1000000 cliques Sun May 18 01:14:51 2025 commencing in-memory singleton removal Sun May 18 01:14:51 2025 begin with 51957019 relations and 52452373 unique ideals Sun May 18 01:14:52 2025 reduce to 51502163 relations and 47612295 ideals in 9 passes Sun May 18 01:14:52 2025 max relations containing the same ideal: 117 Sun May 18 01:15:02 2025 removing 4899716 relations and 3899716 ideals in 1000000 cliques Sun May 18 01:15:03 2025 commencing in-memory singleton removal Sun May 18 01:15:04 2025 begin with 46602447 relations and 47612295 unique ideals Sun May 18 01:15:04 2025 reduce to 46177825 relations and 43279779 ideals in 8 passes Sun May 18 01:15:04 2025 max relations containing the same ideal: 108 Sun May 18 01:15:13 2025 removing 4688302 relations and 3688302 ideals in 1000000 cliques Sun May 18 01:15:14 2025 commencing in-memory singleton removal Sun May 18 01:15:15 2025 begin with 41489523 relations and 43279779 unique ideals Sun May 18 01:15:15 2025 reduce to 41054467 relations and 39147685 ideals in 9 passes Sun May 18 01:15:15 2025 max relations containing the same ideal: 101 Sun May 18 01:15:24 2025 removing 4588695 relations and 3588695 ideals in 1000000 cliques Sun May 18 01:15:25 2025 commencing in-memory singleton removal Sun May 18 01:15:25 2025 begin with 36465772 relations and 39147685 unique ideals Sun May 18 01:15:26 2025 reduce to 35992952 relations and 35075547 ideals in 10 passes Sun May 18 01:15:26 2025 max relations containing the same ideal: 92 Sun May 18 01:15:33 2025 removing 1471850 relations and 1235254 ideals in 236596 cliques Sun May 18 01:15:34 2025 commencing in-memory singleton removal Sun May 18 01:15:34 2025 begin with 34521102 relations and 35075547 unique ideals Sun May 18 01:15:34 2025 reduce to 34471840 relations and 33790699 ideals in 7 passes Sun May 18 01:15:34 2025 max relations containing the same ideal: 90 Sun May 18 01:15:45 2025 relations with 0 large ideals: 22483 Sun May 18 01:15:45 2025 relations with 1 large ideals: 8194 Sun May 18 01:15:45 2025 relations with 2 large ideals: 116655 Sun May 18 01:15:45 2025 relations with 3 large ideals: 792433 Sun May 18 01:15:45 2025 relations with 4 large ideals: 2963095 Sun May 18 01:15:45 2025 relations with 5 large ideals: 6624086 Sun May 18 01:15:45 2025 relations with 6 large ideals: 9238941 Sun May 18 01:15:45 2025 relations with 7+ large ideals: 14705953 Sun May 18 01:15:45 2025 commencing 2-way merge Sun May 18 01:15:55 2025 reduce to 21523291 relation sets and 20842150 unique ideals Sun May 18 01:15:55 2025 commencing full merge Sun May 18 01:19:06 2025 memory use: 2575.3 MB Sun May 18 01:19:07 2025 found 10741405 cycles, need 10654350 Sun May 18 01:19:09 2025 weight of 10654350 cycles is about 852780178 (80.04/cycle) Sun May 18 01:19:09 2025 distribution of cycle lengths: Sun May 18 01:19:09 2025 1 relations: 1366780 Sun May 18 01:19:09 2025 2 relations: 1166052 Sun May 18 01:19:09 2025 3 relations: 1097524 Sun May 18 01:19:09 2025 4 relations: 996484 Sun May 18 01:19:09 2025 5 relations: 917379 Sun May 18 01:19:09 2025 6 relations: 824621 Sun May 18 01:19:09 2025 7 relations: 729326 Sun May 18 01:19:09 2025 8 relations: 651796 Sun May 18 01:19:09 2025 9 relations: 571086 Sun May 18 01:19:09 2025 10+ relations: 2333302 Sun May 18 01:19:09 2025 heaviest cycle: 24 relations Sun May 18 01:19:11 2025 commencing cycle optimization Sun May 18 01:19:19 2025 start with 66100196 relations Sun May 18 01:20:16 2025 pruned 1792593 relations Sun May 18 01:20:17 2025 memory use: 2080.7 MB Sun May 18 01:20:17 2025 distribution of cycle lengths: Sun May 18 01:20:17 2025 1 relations: 1366780 Sun May 18 01:20:17 2025 2 relations: 1190839 Sun May 18 01:20:17 2025 3 relations: 1135001 Sun May 18 01:20:17 2025 4 relations: 1021747 Sun May 18 01:20:17 2025 5 relations: 943179 Sun May 18 01:20:17 2025 6 relations: 841120 Sun May 18 01:20:17 2025 7 relations: 743623 Sun May 18 01:20:17 2025 8 relations: 658868 Sun May 18 01:20:17 2025 9 relations: 574296 Sun May 18 01:20:17 2025 10+ relations: 2178897 Sun May 18 01:20:17 2025 heaviest cycle: 24 relations Sun May 18 01:20:24 2025 RelProcTime: 609 Sun May 18 01:20:24 2025 elapsed time 00:10:10 Sun May 18 01:20:31 2025 Sun May 18 01:20:31 2025 Sun May 18 01:20:31 2025 Msieve v. 1.54 (SVN unknown) Sun May 18 01:20:31 2025 random seeds: 35dbd6e0 f065a1c5 Sun May 18 01:20:31 2025 MPI process 0 of 4 Sun May 18 01:20:31 2025 Using 10 OpenMP threads Sun May 18 01:20:31 2025 factoring 1726105559592021473305347430081852532073504775398282140435174801473093438049595633419213044294126345446063473503398821322677236181829827419919172394377870853032518797976833088507638491785331978032024625294395948515409381 (220 digits) Sun May 18 01:20:31 2025 no P-1/P+1/ECM available, skipping Sun May 18 01:20:31 2025 commencing number field sieve (220-digit input) Sun May 18 01:20:31 2025 R0: 19618141284259695380952209021534139922309 Sun May 18 01:20:31 2025 R1: -1 Sun May 18 01:20:31 2025 A0: -29989 Sun May 18 01:20:31 2025 A1: 0 Sun May 18 01:20:31 2025 A2: 0 Sun May 18 01:20:31 2025 A3: 0 Sun May 18 01:20:31 2025 A4: 0 Sun May 18 01:20:31 2025 A5: 0 Sun May 18 01:20:31 2025 A6: 1 Sun May 18 01:20:31 2025 skew 7.17, size 9.390e-12, alpha -3.022, combined = 6.040e-13 rroots = 2 Sun May 18 01:20:31 2025 Sun May 18 01:20:31 2025 commencing linear algebra Sun May 18 01:20:31 2025 using VBITS=256 Sun May 18 01:20:31 2025 initialized process (0,0) of 2 x 2 grid Sun May 18 01:20:32 2025 read 10654350 cycles Sun May 18 01:20:41 2025 cycles contain 33989873 unique relations Sun May 18 01:20:56 2025 read 33989873 relations Sun May 18 01:21:02 2025 using 20 quadratic characters above 4294917295 Sun May 18 01:21:13 2025 building initial matrix Sun May 18 01:24:22 2025 memory use: 4391.9 MB Sun May 18 01:24:27 2025 read 10654350 cycles Sun May 18 01:24:27 2025 matrix is 10654171 x 10654350 (3568.5 MB) with weight 1078770352 (101.25/col) Sun May 18 01:24:27 2025 sparse part has weight 818271197 (76.80/col) Sun May 18 01:25:24 2025 filtering completed in 2 passes Sun May 18 01:25:25 2025 matrix is 10649768 x 10649941 (3568.2 MB) with weight 1078619186 (101.28/col) Sun May 18 01:25:25 2025 sparse part has weight 818231949 (76.83/col) Sun May 18 01:25:37 2025 matrix starts at (0, 0) Sun May 18 01:25:37 2025 matrix is 5325004 x 5324933 (1071.6 MB) with weight 352531816 (66.20/col) Sun May 18 01:25:37 2025 sparse part has weight 222347365 (41.76/col) Sun May 18 01:25:37 2025 saving the first 240 matrix rows for later Sun May 18 01:25:38 2025 matrix includes 256 packed rows Sun May 18 01:25:39 2025 matrix is 5324764 x 5324933 (975.6 MB) with weight 186815941 (35.08/col) Sun May 18 01:25:39 2025 sparse part has weight 170559270 (32.03/col) Sun May 18 01:25:39 2025 using GPU 0 (NVIDIA H200) Sun May 18 01:25:39 2025 selected card has CUDA arch 9.0 Sun May 18 01:25:49 2025 commencing Lanczos iteration Sun May 18 01:25:49 2025 memory use: 2316.9 MB Sun May 18 01:25:53 2025 linear algebra at 0.3%, ETA 0h17m Sun May 18 01:25:57 2025 checking every 650000 dimensions, checkpointing every 39650000 dimensions Sun May 18 01:42:05 2025 lanczos halted after 41726 iterations (dim = 10649526) Sun May 18 01:42:29 2025 recovered 34 nontrivial dependencies Sun May 18 01:42:29 2025 BLanczosTime: 1318 Sun May 18 01:42:29 2025 elapsed time 00:21:58 Sun May 18 01:42:32 2025 Sun May 18 01:42:32 2025 Sun May 18 01:42:32 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun May 18 01:42:32 2025 random seeds: 1676eea5 17005639 Sun May 18 01:42:32 2025 MPI process 0 of 1 Sun May 18 01:42:32 2025 Using 64 OpenMP threads Sun May 18 01:42:32 2025 factoring 1726105559592021473305347430081852532073504775398282140435174801473093438049595633419213044294126345446063473503398821322677236181829827419919172394377870853032518797976833088507638491785331978032024625294395948515409381 (220 digits) Sun May 18 01:42:33 2025 no P-1/P+1/ECM available, skipping Sun May 18 01:42:33 2025 commencing number field sieve (220-digit input) Sun May 18 01:42:33 2025 R0: 19618141284259695380952209021534139922309 Sun May 18 01:42:33 2025 R1: -1 Sun May 18 01:42:33 2025 A0: -29989 Sun May 18 01:42:33 2025 A1: 0 Sun May 18 01:42:33 2025 A2: 0 Sun May 18 01:42:33 2025 A3: 0 Sun May 18 01:42:33 2025 A4: 0 Sun May 18 01:42:33 2025 A5: 0 Sun May 18 01:42:33 2025 A6: 1 Sun May 18 01:42:33 2025 skew 7.17, size 9.390e-12, alpha -3.022, combined = 6.040e-13 rroots = 2 Sun May 18 01:42:33 2025 Sun May 18 01:42:33 2025 commencing square root phase Sun May 18 01:42:33 2025 reading relations for dependency 1 Sun May 18 01:42:34 2025 read 5327743 cycles Sun May 18 01:42:38 2025 cycles contain 17006516 unique relations Sun May 18 01:42:44 2025 read 17006516 relations Sun May 18 01:43:19 2025 multiplying 17006516 relations Sun May 18 01:44:09 2025 multiply complete, coefficients have about 437.68 million bits Sun May 18 01:44:10 2025 initial square root is modulo 71338441 Sun May 18 01:45:40 2025 sqrtTime: 187 Sun May 18 01:45:40 2025 p104 factor: 10573699100874454257274660062340498179459449005118626686418324749646708836859361382966450212851864971961 Sun May 18 01:45:40 2025 p117 factor: 163245193864961697136861446696061384772259639318127558530289994845289416732865867052607691297531797078894946542446221 Sun May 18 01:45:40 2025 elapsed time 00:03:08