Wed Feb 26 15:12:28 2025 Wed Feb 26 15:12:28 2025 Wed Feb 26 15:12:28 2025 Msieve v. 1.54 (SVN unknown) Wed Feb 26 15:12:28 2025 random seeds: 10db0459 1b60b37b Wed Feb 26 15:12:28 2025 MPI process 0 of 1 Wed Feb 26 15:12:28 2025 Using 62 OpenMP threads Wed Feb 26 15:12:28 2025 factoring 43663707365144243072514429061813335400023292869911482678146180190928339344034870866140626701612345078315122484976546163896217755643804046284474015078329338156865953908650087251837261120856589502050682938922194398057651583943245443440774224261915751131954986284307913340370776930701239747354701214065737260314577 (311 digits) Wed Feb 26 15:12:29 2025 no P-1/P+1/ECM available, skipping Wed Feb 26 15:12:29 2025 commencing number field sieve (311-digit input) Wed Feb 26 15:12:29 2025 R0: -196159429230833773869868419475239575503198607639501078528 Wed Feb 26 15:12:29 2025 R1: 1 Wed Feb 26 15:12:29 2025 A0: 1 Wed Feb 26 15:12:29 2025 A1: 0 Wed Feb 26 15:12:29 2025 A2: 0 Wed Feb 26 15:12:29 2025 A3: 0 Wed Feb 26 15:12:29 2025 A4: 0 Wed Feb 26 15:12:29 2025 A5: 0 Wed Feb 26 15:12:29 2025 A6: 4 Wed Feb 26 15:12:29 2025 skew 1.11, size 1.490e-16, alpha 1.947, combined = 1.134e-16 rroots = 0 Wed Feb 26 15:12:29 2025 Wed Feb 26 15:12:29 2025 commencing relation filtering Wed Feb 26 15:12:29 2025 setting target matrix density to 110.0 Wed Feb 26 15:12:29 2025 estimated available RAM is 1031760.2 MB Wed Feb 26 15:12:29 2025 commencing duplicate removal, pass 1 Wed Feb 26 15:34:13 2025 skipped 14746720 relations with b > 2^32 Wed Feb 26 15:34:13 2025 skipped 1 relations with composite factors Wed Feb 26 15:34:13 2025 skipped 26061 malformed relations Wed Feb 26 15:34:13 2025 found 118330513 hash collisions in 2932741494 relations Wed Feb 26 15:34:21 2025 added 1218925 free relations Wed Feb 26 15:34:21 2025 commencing duplicate removal, pass 2 Wed Feb 26 15:42:52 2025 found 198 duplicates and 2933960221 unique relations Wed Feb 26 15:42:52 2025 memory use: 8870.0 MB Wed Feb 26 15:42:53 2025 reading ideals above 720000 Wed Feb 26 15:42:53 2025 commencing singleton removal, initial pass Wed Feb 26 20:30:55 2025 memory use: 66560.0 MB Wed Feb 26 20:30:55 2025 reading all ideals from disk Wed Feb 26 20:31:41 2025 memory use: 164527.8 MB Wed Feb 26 20:36:20 2025 keeping 3200393180 ideals with weight <= 200, target excess is 17704510 Wed Feb 26 20:42:19 2025 commencing in-memory singleton removal Wed Feb 26 20:42:30 2025 begin with 2933960221 relations and 3200393180 unique ideals Wed Feb 26 20:44:06 2025 reduce to 1137738686 relations and 1102696801 ideals in 26 passes Wed Feb 26 20:44:06 2025 max relations containing the same ideal: 115 Wed Feb 26 20:47:41 2025 removing 37965393 relations and 35965393 ideals in 2000000 cliques Wed Feb 26 20:48:03 2025 commencing in-memory singleton removal Wed Feb 26 20:48:06 2025 begin with 1099773293 relations and 1102696801 unique ideals Wed Feb 26 20:48:33 2025 reduce to 1098585693 relations and 1065539490 ideals in 14 passes Wed Feb 26 20:48:33 2025 max relations containing the same ideal: 113 Wed Feb 26 20:51:57 2025 removing 26986406 relations and 24986406 ideals in 2000000 cliques Wed Feb 26 20:52:16 2025 commencing in-memory singleton removal Wed Feb 26 20:52:19 2025 begin with 1071599287 relations and 1065539490 unique ideals Wed Feb 26 20:52:41 2025 reduce to 1070973656 relations and 1039925762 ideals in 11 passes Wed Feb 26 20:52:41 2025 max relations containing the same ideal: 110 Wed Feb 26 20:55:56 2025 removing 23475275 relations and 21475275 ideals in 2000000 cliques Wed Feb 26 20:56:15 2025 commencing in-memory singleton removal Wed Feb 26 20:56:18 2025 begin with 1047498381 relations and 1039925762 unique ideals Wed Feb 26 20:56:41 2025 reduce to 1047012800 relations and 1017963693 ideals in 13 passes Wed Feb 26 20:56:41 2025 max relations containing the same ideal: 109 Wed Feb 26 20:59:52 2025 removing 21456150 relations and 19456150 ideals in 2000000 cliques Wed Feb 26 21:00:10 2025 commencing in-memory singleton removal Wed Feb 26 21:00:13 2025 begin with 1025556650 relations and 1017963693 unique ideals Wed Feb 26 21:00:31 2025 reduce to 1025143179 relations and 998093109 ideals in 10 passes Wed Feb 26 21:00:31 2025 max relations containing the same ideal: 108 Wed Feb 26 21:03:38 2025 removing 20082378 relations and 18082378 ideals in 2000000 cliques Wed Feb 26 21:03:57 2025 commencing in-memory singleton removal Wed Feb 26 21:03:59 2025 begin with 1005060801 relations and 998093109 unique ideals Wed Feb 26 21:04:20 2025 reduce to 1004691652 relations and 979640717 ideals in 12 passes Wed Feb 26 21:04:20 2025 max relations containing the same ideal: 108 Wed Feb 26 21:07:23 2025 removing 19045486 relations and 17045486 ideals in 2000000 cliques Wed Feb 26 21:07:40 2025 commencing in-memory singleton removal Wed Feb 26 21:07:42 2025 begin with 985646166 relations and 979640717 unique ideals Wed Feb 26 21:07:59 2025 reduce to 985309855 relations and 962258133 ideals in 9 passes Wed Feb 26 21:07:59 2025 max relations containing the same ideal: 106 Wed Feb 26 21:10:58 2025 removing 18233828 relations and 16233828 ideals in 2000000 cliques Wed Feb 26 21:11:15 2025 commencing in-memory singleton removal Wed Feb 26 21:11:18 2025 begin with 967076027 relations and 962258133 unique ideals Wed Feb 26 21:11:36 2025 reduce to 966759846 relations and 945707436 ideals in 10 passes Wed Feb 26 21:11:36 2025 max relations containing the same ideal: 105 Wed Feb 26 21:14:31 2025 removing 5461321 relations and 4946143 ideals in 515178 cliques Wed Feb 26 21:14:46 2025 commencing in-memory singleton removal Wed Feb 26 21:14:49 2025 begin with 961298525 relations and 945707436 unique ideals Wed Feb 26 21:15:03 2025 reduce to 961271410 relations and 940734161 ideals in 7 passes Wed Feb 26 21:15:03 2025 max relations containing the same ideal: 105 Wed Feb 26 21:16:20 2025 relations with 0 large ideals: 727958 Wed Feb 26 21:16:20 2025 relations with 1 large ideals: 1369804 Wed Feb 26 21:16:20 2025 relations with 2 large ideals: 12370872 Wed Feb 26 21:16:20 2025 relations with 3 large ideals: 60207675 Wed Feb 26 21:16:20 2025 relations with 4 large ideals: 171139879 Wed Feb 26 21:16:20 2025 relations with 5 large ideals: 288739773 Wed Feb 26 21:16:20 2025 relations with 6 large ideals: 275352542 Wed Feb 26 21:16:20 2025 relations with 7+ large ideals: 151362907 Wed Feb 26 21:16:20 2025 commencing 2-way merge Wed Feb 26 21:21:40 2025 reduce to 570509539 relation sets and 549972290 unique ideals Wed Feb 26 21:21:40 2025 commencing full merge Wed Feb 26 22:48:43 2025 memory use: 57075.1 MB Wed Feb 26 22:49:21 2025 found 268420658 cycles, need 266914490 Wed Feb 26 22:50:35 2025 weight of 266914490 cycles is about 29360729675 (110.00/cycle) Wed Feb 26 22:50:35 2025 distribution of cycle lengths: Wed Feb 26 22:50:35 2025 1 relations: 23946193 Wed Feb 26 22:50:35 2025 2 relations: 29362628 Wed Feb 26 22:50:35 2025 3 relations: 30621218 Wed Feb 26 22:50:35 2025 4 relations: 27217328 Wed Feb 26 22:50:35 2025 5 relations: 23949809 Wed Feb 26 22:50:35 2025 6 relations: 20227678 Wed Feb 26 22:50:35 2025 7 relations: 16955156 Wed Feb 26 22:50:35 2025 8 relations: 14785628 Wed Feb 26 22:50:35 2025 9 relations: 12549615 Wed Feb 26 22:50:35 2025 10+ relations: 67299237 Wed Feb 26 22:50:35 2025 heaviest cycle: 28 relations Wed Feb 26 22:51:02 2025 commencing cycle optimization Wed Feb 26 22:57:33 2025 start with 1851339000 relations Wed Feb 26 23:31:28 2025 pruned 44097620 relations Wed Feb 26 23:31:49 2025 memory use: 58127.5 MB Wed Feb 26 23:31:51 2025 distribution of cycle lengths: Wed Feb 26 23:31:51 2025 1 relations: 23946193 Wed Feb 26 23:31:51 2025 2 relations: 30046568 Wed Feb 26 23:31:51 2025 3 relations: 31759387 Wed Feb 26 23:31:51 2025 4 relations: 27827996 Wed Feb 26 23:31:51 2025 5 relations: 24420586 Wed Feb 26 23:31:51 2025 6 relations: 20382005 Wed Feb 26 23:31:51 2025 7 relations: 17057784 Wed Feb 26 23:31:51 2025 8 relations: 14712687 Wed Feb 26 23:31:51 2025 9 relations: 12423148 Wed Feb 26 23:31:51 2025 10+ relations: 64338136 Wed Feb 26 23:31:51 2025 heaviest cycle: 28 relations Wed Feb 26 23:36:00 2025 RelProcTime: 30211 Wed Feb 26 23:36:44 2025 elapsed time 08:24:16 Thu Feb 27 00:40:43 2025 Thu Feb 27 00:40:43 2025 Thu Feb 27 00:40:43 2025 Msieve v. 1.54 (SVN unknown) Thu Feb 27 00:40:43 2025 random seeds: 803240d4 c05a5e00 Thu Feb 27 00:40:43 2025 MPI process 0 of 4 Thu Feb 27 00:40:43 2025 Using 10 OpenMP threads Thu Feb 27 00:40:43 2025 factoring 43663707365144243072514429061813335400023292869911482678146180190928339344034870866140626701612345078315122484976546163896217755643804046284474015078329338156865953908650087251837261120856589502050682938922194398057651583943245443440774224261915751131954986284307913340370776930701239747354701214065737260314577 (311 digits) Thu Feb 27 00:40:44 2025 no P-1/P+1/ECM available, skipping Thu Feb 27 00:40:44 2025 commencing number field sieve (311-digit input) Thu Feb 27 00:40:44 2025 R0: -196159429230833773869868419475239575503198607639501078528 Thu Feb 27 00:40:44 2025 R1: 1 Thu Feb 27 00:40:44 2025 A0: 1 Thu Feb 27 00:40:44 2025 A1: 0 Thu Feb 27 00:40:44 2025 A2: 0 Thu Feb 27 00:40:44 2025 A3: 0 Thu Feb 27 00:40:44 2025 A4: 0 Thu Feb 27 00:40:44 2025 A5: 0 Thu Feb 27 00:40:44 2025 A6: 4 Thu Feb 27 00:40:44 2025 skew 1.11, size 1.490e-16, alpha 1.947, combined = 1.134e-16 rroots = 0 Thu Feb 27 00:40:44 2025 Thu Feb 27 00:40:44 2025 commencing linear algebra Thu Feb 27 00:40:44 2025 using VBITS=256 Thu Feb 27 00:40:44 2025 initialized process (0,0) of 2 x 2 grid Thu Feb 27 00:41:03 2025 read 266914490 cycles Thu Feb 27 00:47:31 2025 cycles contain 940112035 unique relations Thu Feb 27 00:56:06 2025 read 940112035 relations Thu Feb 27 01:01:26 2025 using 20 quadratic characters above 4294917295 Thu Feb 27 01:06:23 2025 building initial matrix Thu Feb 27 03:36:53 2025 memory use: 124364.9 MB Thu Feb 27 03:39:44 2025 read 266914490 cycles Thu Feb 27 03:40:14 2025 matrix is 266914172 x 266914490 (117941.9 MB) with weight 33412148085 (125.18/col) Thu Feb 27 03:40:14 2025 sparse part has weight 28248611431 (105.83/col) Thu Feb 27 05:19:42 2025 filtering completed in 3 passes Thu Feb 27 05:20:53 2025 matrix is 266637151 x 266637351 (117916.5 MB) with weight 33402521818 (125.27/col) Thu Feb 27 05:20:53 2025 sparse part has weight 28244716875 (105.93/col) Thu Feb 27 05:32:49 2025 matrix starts at (0, 0) Thu Feb 27 05:32:58 2025 matrix is 133318696 x 133318326 (34183.6 MB) with weight 10206806490 (76.56/col) Thu Feb 27 05:32:58 2025 sparse part has weight 7627847277 (57.22/col) Thu Feb 27 05:32:58 2025 saving the first 240 matrix rows for later Thu Feb 27 05:33:13 2025 matrix includes 256 packed rows Thu Feb 27 05:33:37 2025 matrix is 133318456 x 133318326 (31339.2 MB) with weight 6499185587 (48.75/col) Thu Feb 27 05:33:37 2025 sparse part has weight 6082290434 (45.62/col) Thu Feb 27 05:33:37 2025 using GPU 0 (NVIDIA H200) Thu Feb 27 05:33:37 2025 selected card has CUDA arch 9.0 Thu Feb 27 05:45:33 2025 commencing Lanczos iteration Thu Feb 27 05:45:39 2025 memory use: 74884.1 MB Thu Feb 27 05:46:59 2025 linear algebra at 0.0%, ETA 181h16m Thu Feb 27 05:48:52 2025 checking every 20000 dimensions, checkpointing every 1480000 dimensions Thu Mar 6 19:22:21 2025 lanczos halted after 1044670 iterations (dim = 266636909) Thu Mar 6 19:35:24 2025 recovered 40 nontrivial dependencies Thu Mar 6 19:35:27 2025 BLanczosTime: 672883 Thu Mar 6 19:35:27 2025 elapsed time 186:54:44 Thu Mar 6 23:04:38 2025 Thu Mar 6 23:04:38 2025 Thu Mar 6 23:04:38 2025 Msieve v. 1.54 (SVN unknown) Thu Mar 6 23:04:38 2025 random seeds: 34b39fd0 6a52e8e7 Thu Mar 6 23:04:38 2025 MPI process 0 of 1 Thu Mar 6 23:04:38 2025 Using 62 OpenMP threads Thu Mar 6 23:04:38 2025 factoring 43663707365144243072514429061813335400023292869911482678146180190928339344034870866140626701612345078315122484976546163896217755643804046284474015078329338156865953908650087251837261120856589502050682938922194398057651583943245443440774224261915751131954986284307913340370776930701239747354701214065737260314577 (311 digits) Thu Mar 6 23:04:39 2025 no P-1/P+1/ECM available, skipping Thu Mar 6 23:04:39 2025 commencing number field sieve (311-digit input) Thu Mar 6 23:04:39 2025 R0: -196159429230833773869868419475239575503198607639501078528 Thu Mar 6 23:04:39 2025 R1: 1 Thu Mar 6 23:04:39 2025 A0: 1 Thu Mar 6 23:04:39 2025 A1: 0 Thu Mar 6 23:04:39 2025 A2: 0 Thu Mar 6 23:04:39 2025 A3: 0 Thu Mar 6 23:04:39 2025 A4: 0 Thu Mar 6 23:04:39 2025 A5: 0 Thu Mar 6 23:04:39 2025 A6: 4 Thu Mar 6 23:04:39 2025 skew 1.11, size 1.490e-16, alpha 1.947, combined = 1.134e-16 rroots = 0 Thu Mar 6 23:04:39 2025 Thu Mar 6 23:04:39 2025 commencing square root phase Thu Mar 6 23:04:39 2025 reading relations for dependency 1 Thu Mar 6 23:04:58 2025 read 133315572 cycles Thu Mar 6 23:07:44 2025 cycles contain 470038058 unique relations Thu Mar 6 23:10:53 2025 read 470038058 relations Thu Mar 6 23:32:57 2025 multiplying 470038058 relations Thu Mar 6 23:55:34 2025 multiply complete, coefficients have about 14714.66 million bits Thu Mar 6 23:55:57 2025 initial square root is modulo 178112527 Fri Mar 7 01:07:22 2025 sqrtTime: 7363 Fri Mar 7 01:07:22 2025 p75 factor: 103988617112506222505522239221648473324886644499194470186086151346388643873 Fri Mar 7 01:07:22 2025 p237 factor: 419889297286298983708329347749430522538672178773417302166368654172372352710706252401266008128209494913216921740254827377604603973233968752206282778974835741279096256991440286342972807261690355409425424641750022735795078080482575470217649 Fri Mar 7 01:07:22 2025 elapsed time 02:02:44