Sun Sep 17 16:41:45 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis) Sun Sep 17 16:41:45 2023 random seeds: 3e5550df 819265b2 Sun Sep 17 16:41:45 2023 Using 16 OpenMP threads Sun Sep 17 16:41:45 2023 factoring 190756226421731880715743368662554252923033384097949122794849286883731887788391959903850872488691431936404338397393303253988085187172036774348459689856771700032776416314499511006468332641662774090711350890096042621188542898904061884363 (234 digits) Sun Sep 17 16:41:46 2023 no P-1/P+1/ECM available, skipping Sun Sep 17 16:41:46 2023 commencing number field sieve (234-digit input) Sun Sep 17 16:41:46 2023 R0: 4318114567396436564035293097707728087552248849 Sun Sep 17 16:41:46 2023 R1: -324518553658426726783156020576256 Sun Sep 17 16:41:46 2023 A0: 7 Sun Sep 17 16:41:46 2023 A1: 0 Sun Sep 17 16:41:46 2023 A2: 0 Sun Sep 17 16:41:46 2023 A3: 0 Sun Sep 17 16:41:46 2023 A4: 0 Sun Sep 17 16:41:46 2023 A5: 0 Sun Sep 17 16:41:46 2023 A6: 4 Sun Sep 17 16:41:46 2023 skew 1.10, size 1.475e-13, alpha 1.534, combined = 2.743e-14 rroots = 0 Sun Sep 17 16:41:46 2023 Sun Sep 17 16:41:46 2023 commencing relation filtering Sun Sep 17 16:41:46 2023 setting target matrix density to 110.0 Sun Sep 17 16:41:46 2023 estimated available RAM is 128734.9 MB Sun Sep 17 16:41:46 2023 commencing duplicate removal, pass 1 Sun Sep 17 16:44:53 2023 skipped 1418 relations with b > 2^32 Sun Sep 17 16:44:53 2023 found 14416685 hash collisions in 258832442 relations Sun Sep 17 16:45:00 2023 added 1218505 free relations Sun Sep 17 16:45:00 2023 commencing duplicate removal, pass 2 Sun Sep 17 16:45:51 2023 found 0 duplicates and 260050947 unique relations Sun Sep 17 16:45:51 2023 memory use: 852.8 MB Sun Sep 17 16:45:51 2023 reading ideals above 720000 Sun Sep 17 16:45:51 2023 commencing singleton removal, initial pass Sun Sep 17 16:53:59 2023 memory use: 6024.0 MB Sun Sep 17 16:53:59 2023 reading all ideals from disk Sun Sep 17 16:54:02 2023 memory use: 13026.2 MB Sun Sep 17 16:54:15 2023 keeping 255668750 ideals with weight <= 200, target excess is 1362617 Sun Sep 17 16:54:32 2023 commencing in-memory singleton removal Sun Sep 17 16:54:36 2023 begin with 260050947 relations and 255668750 unique ideals Sun Sep 17 16:55:21 2023 reduce to 170491742 relations and 160115595 ideals in 25 passes Sun Sep 17 16:55:21 2023 max relations containing the same ideal: 159 Sun Sep 17 16:55:56 2023 removing 10840363 relations and 9840363 ideals in 1000000 cliques Sun Sep 17 16:55:59 2023 commencing in-memory singleton removal Sun Sep 17 16:56:01 2023 begin with 159651379 relations and 160115595 unique ideals Sun Sep 17 16:56:18 2023 reduce to 159006553 relations and 149624279 ideals in 11 passes Sun Sep 17 16:56:18 2023 max relations containing the same ideal: 156 Sun Sep 17 16:56:50 2023 removing 7997999 relations and 6997999 ideals in 1000000 cliques Sun Sep 17 16:56:52 2023 commencing in-memory singleton removal Sun Sep 17 16:56:55 2023 begin with 151008554 relations and 149624279 unique ideals Sun Sep 17 16:57:09 2023 reduce to 150626781 relations and 142241598 ideals in 10 passes Sun Sep 17 16:57:09 2023 max relations containing the same ideal: 150 Sun Sep 17 16:57:39 2023 removing 7103925 relations and 6103925 ideals in 1000000 cliques Sun Sep 17 16:57:42 2023 commencing in-memory singleton removal Sun Sep 17 16:57:44 2023 begin with 143522856 relations and 142241598 unique ideals Sun Sep 17 16:57:55 2023 reduce to 143205184 relations and 135817693 ideals in 8 passes Sun Sep 17 16:57:55 2023 max relations containing the same ideal: 147 Sun Sep 17 16:58:24 2023 removing 6625952 relations and 5625952 ideals in 1000000 cliques Sun Sep 17 16:58:26 2023 commencing in-memory singleton removal Sun Sep 17 16:58:28 2023 begin with 136579232 relations and 135817693 unique ideals Sun Sep 17 16:58:40 2023 reduce to 136288834 relations and 129899269 ideals in 9 passes Sun Sep 17 16:58:40 2023 max relations containing the same ideal: 138 Sun Sep 17 16:59:07 2023 removing 6315658 relations and 5315658 ideals in 1000000 cliques Sun Sep 17 16:59:10 2023 commencing in-memory singleton removal Sun Sep 17 16:59:12 2023 begin with 129973176 relations and 129899269 unique ideals Sun Sep 17 16:59:23 2023 reduce to 129698577 relations and 124307028 ideals in 9 passes Sun Sep 17 16:59:23 2023 max relations containing the same ideal: 138 Sun Sep 17 16:59:49 2023 removing 6102481 relations and 5102481 ideals in 1000000 cliques Sun Sep 17 16:59:51 2023 commencing in-memory singleton removal Sun Sep 17 16:59:53 2023 begin with 123596096 relations and 124307028 unique ideals Sun Sep 17 17:00:05 2023 reduce to 123326880 relations and 118933310 ideals in 10 passes Sun Sep 17 17:00:05 2023 max relations containing the same ideal: 132 Sun Sep 17 17:00:30 2023 removing 5945879 relations and 4945879 ideals in 1000000 cliques Sun Sep 17 17:00:32 2023 commencing in-memory singleton removal Sun Sep 17 17:00:34 2023 begin with 117381001 relations and 118933310 unique ideals Sun Sep 17 17:00:42 2023 reduce to 117112996 relations and 113717376 ideals in 7 passes Sun Sep 17 17:00:42 2023 max relations containing the same ideal: 126 Sun Sep 17 17:01:06 2023 removing 5832153 relations and 4832153 ideals in 1000000 cliques Sun Sep 17 17:01:08 2023 commencing in-memory singleton removal Sun Sep 17 17:01:10 2023 begin with 111280843 relations and 113717376 unique ideals Sun Sep 17 17:01:19 2023 reduce to 111011769 relations and 108613980 ideals in 9 passes Sun Sep 17 17:01:19 2023 max relations containing the same ideal: 122 Sun Sep 17 17:01:42 2023 removing 4871062 relations and 4053909 ideals in 817153 cliques Sun Sep 17 17:01:44 2023 commencing in-memory singleton removal Sun Sep 17 17:01:46 2023 begin with 106140707 relations and 108613980 unique ideals Sun Sep 17 17:01:53 2023 reduce to 105948175 relations and 104366190 ideals in 8 passes Sun Sep 17 17:01:53 2023 max relations containing the same ideal: 116 Sun Sep 17 17:02:25 2023 relations with 0 large ideals: 52138 Sun Sep 17 17:02:25 2023 relations with 1 large ideals: 16636 Sun Sep 17 17:02:25 2023 relations with 2 large ideals: 231464 Sun Sep 17 17:02:25 2023 relations with 3 large ideals: 1695386 Sun Sep 17 17:02:25 2023 relations with 4 large ideals: 6908259 Sun Sep 17 17:02:25 2023 relations with 5 large ideals: 17104161 Sun Sep 17 17:02:25 2023 relations with 6 large ideals: 26769383 Sun Sep 17 17:02:25 2023 relations with 7+ large ideals: 53170748 Sun Sep 17 17:02:25 2023 commencing 2-way merge Sun Sep 17 17:03:01 2023 reduce to 64964952 relation sets and 63382967 unique ideals Sun Sep 17 17:03:01 2023 commencing full merge Sun Sep 17 17:18:17 2023 memory use: 7876.9 MB Sun Sep 17 17:18:22 2023 found 29255750 cycles, need 29251167 Sun Sep 17 17:18:28 2023 weight of 29251167 cycles is about 3217831219 (110.01/cycle) Sun Sep 17 17:18:28 2023 distribution of cycle lengths: Sun Sep 17 17:18:28 2023 1 relations: 2826587 Sun Sep 17 17:18:28 2023 2 relations: 2608724 Sun Sep 17 17:18:28 2023 3 relations: 2513854 Sun Sep 17 17:18:28 2023 4 relations: 2339500 Sun Sep 17 17:18:28 2023 5 relations: 2184651 Sun Sep 17 17:18:28 2023 6 relations: 1978957 Sun Sep 17 17:18:28 2023 7 relations: 1830253 Sun Sep 17 17:18:28 2023 8 relations: 1658460 Sun Sep 17 17:18:28 2023 9 relations: 1491557 Sun Sep 17 17:18:28 2023 10+ relations: 9818624 Sun Sep 17 17:18:28 2023 heaviest cycle: 28 relations Sun Sep 17 17:18:32 2023 commencing cycle optimization Sun Sep 17 17:19:10 2023 start with 233011211 relations Sun Sep 17 17:24:07 2023 pruned 7675175 relations Sun Sep 17 17:24:07 2023 memory use: 6713.2 MB Sun Sep 17 17:24:07 2023 distribution of cycle lengths: Sun Sep 17 17:24:07 2023 1 relations: 2826587 Sun Sep 17 17:24:07 2023 2 relations: 2669064 Sun Sep 17 17:24:07 2023 3 relations: 2609133 Sun Sep 17 17:24:07 2023 4 relations: 2412991 Sun Sep 17 17:24:07 2023 5 relations: 2257863 Sun Sep 17 17:24:07 2023 6 relations: 2034408 Sun Sep 17 17:24:07 2023 7 relations: 1876422 Sun Sep 17 17:24:07 2023 8 relations: 1687750 Sun Sep 17 17:24:07 2023 9 relations: 1517179 Sun Sep 17 17:24:07 2023 10+ relations: 9359770 Sun Sep 17 17:24:07 2023 heaviest cycle: 28 relations Sun Sep 17 17:24:41 2023 RelProcTime: 2575 Sun Sep 17 17:24:41 2023 elapsed time 00:42:56 Sun Sep 17 17:43:13 2023 Sun Sep 17 17:43:13 2023 Sun Sep 17 17:43:13 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI) Sun Sep 17 17:43:13 2023 random seeds: 75be9acb 5c7ad5c8 Sun Sep 17 17:43:13 2023 MPI process 0 of 2 Sun Sep 17 17:43:13 2023 Using 8 OpenMP threads Sun Sep 17 17:43:13 2023 factoring 190756226421731880715743368662554252923033384097949122794849286883731887788391959903850872488691431936404338397393303253988085187172036774348459689856771700032776416314499511006468332641662774090711350890096042621188542898904061884363 (234 digits) Sun Sep 17 17:43:13 2023 no P-1/P+1/ECM available, skipping Sun Sep 17 17:43:13 2023 commencing number field sieve (234-digit input) Sun Sep 17 17:43:13 2023 R0: 4318114567396436564035293097707728087552248849 Sun Sep 17 17:43:13 2023 R1: -324518553658426726783156020576256 Sun Sep 17 17:43:13 2023 A0: 7 Sun Sep 17 17:43:13 2023 A1: 0 Sun Sep 17 17:43:13 2023 A2: 0 Sun Sep 17 17:43:13 2023 A3: 0 Sun Sep 17 17:43:13 2023 A4: 0 Sun Sep 17 17:43:13 2023 A5: 0 Sun Sep 17 17:43:13 2023 A6: 4 Sun Sep 17 17:43:13 2023 skew 1.10, size 1.475e-13, alpha 1.534, combined = 2.743e-14 rroots = 0 Sun Sep 17 17:43:13 2023 Sun Sep 17 17:43:13 2023 commencing linear algebra Sun Sep 17 17:43:13 2023 using VBITS=256 Sun Sep 17 17:43:13 2023 initialized process (0,0) of 1 x 2 grid Sun Sep 17 17:43:15 2023 read 29251167 cycles Sun Sep 17 17:43:51 2023 cycles contain 104638727 unique relations Sun Sep 17 17:45:12 2023 read 104638727 relations Sun Sep 17 17:45:36 2023 using 20 quadratic characters above 4294917295 Sun Sep 17 17:46:14 2023 building initial matrix Sun Sep 17 17:58:00 2023 memory use: 13128.5 MB Sun Sep 17 17:58:11 2023 read 29251167 cycles Sun Sep 17 17:58:15 2023 matrix is 29250990 x 29251167 (12858.9 MB) with weight 3698873873 (126.45/col) Sun Sep 17 17:58:15 2023 sparse part has weight 3049115899 (104.24/col) Sun Sep 17 18:01:12 2023 filtering completed in 2 passes Sun Sep 17 18:01:15 2023 matrix is 29250275 x 29250450 (12858.8 MB) with weight 3698850150 (126.45/col) Sun Sep 17 18:01:15 2023 sparse part has weight 3049109108 (104.24/col) Sun Sep 17 18:02:04 2023 matrix starts at (0, 0) Sun Sep 17 18:02:06 2023 matrix is 29250275 x 14625267 (6429.4 MB) with weight 1849431963 (126.45/col) Sun Sep 17 18:02:06 2023 sparse part has weight 1524554660 (104.24/col) Sun Sep 17 18:02:06 2023 saving the first 240 matrix rows for later Sun Sep 17 18:02:07 2023 matrix includes 256 packed rows Sun Sep 17 18:02:12 2023 matrix is 29250035 x 14625267 (6018.8 MB) with weight 1406564322 (96.17/col) Sun Sep 17 18:02:12 2023 sparse part has weight 1343783738 (91.88/col) Sun Sep 17 18:02:12 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti) Sun Sep 17 18:02:12 2023 selected card has CUDA arch 8.6 Sun Sep 17 18:03:09 2023 commencing Lanczos iteration Sun Sep 17 18:03:10 2023 memory use: 15329.2 MB Sun Sep 17 18:04:02 2023 linear algebra at 0.1%, ETA 13h14m Sun Sep 17 18:05:16 2023 checking every 30000 dimensions, checkpointing every 2250000 dimensions Mon Sep 18 07:44:31 2023 lanczos halted after 114601 iterations (dim = 29250031) Mon Sep 18 07:45:49 2023 recovered 38 nontrivial dependencies Mon Sep 18 07:45:49 2023 BLanczosTime: 50556 Mon Sep 18 07:45:49 2023 elapsed time 14:02:36 Mon Sep 18 07:45:49 2023 Mon Sep 18 07:45:49 2023 Mon Sep 18 07:45:49 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis) Mon Sep 18 07:45:49 2023 random seeds: e67b030e d16317a9 Mon Sep 18 07:45:49 2023 Using 16 OpenMP threads Mon Sep 18 07:45:49 2023 factoring 190756226421731880715743368662554252923033384097949122794849286883731887788391959903850872488691431936404338397393303253988085187172036774348459689856771700032776416314499511006468332641662774090711350890096042621188542898904061884363 (234 digits) Mon Sep 18 07:45:50 2023 no P-1/P+1/ECM available, skipping Mon Sep 18 07:45:50 2023 commencing number field sieve (234-digit input) Mon Sep 18 07:45:50 2023 R0: 4318114567396436564035293097707728087552248849 Mon Sep 18 07:45:50 2023 R1: -324518553658426726783156020576256 Mon Sep 18 07:45:50 2023 A0: 7 Mon Sep 18 07:45:50 2023 A1: 0 Mon Sep 18 07:45:50 2023 A2: 0 Mon Sep 18 07:45:50 2023 A3: 0 Mon Sep 18 07:45:50 2023 A4: 0 Mon Sep 18 07:45:50 2023 A5: 0 Mon Sep 18 07:45:50 2023 A6: 4 Mon Sep 18 07:45:50 2023 skew 1.10, size 1.475e-13, alpha 1.534, combined = 2.743e-14 rroots = 0 Mon Sep 18 07:45:50 2023 Mon Sep 18 07:45:50 2023 commencing square root phase Mon Sep 18 07:45:50 2023 reading relations for dependency 1 Mon Sep 18 07:45:51 2023 read 14626702 cycles Mon Sep 18 07:46:10 2023 cycles contain 52314160 unique relations Mon Sep 18 07:46:39 2023 read 52314160 relations Mon Sep 18 07:48:59 2023 multiplying 52314160 relations Mon Sep 18 07:52:58 2023 multiply complete, coefficients have about 1486.87 million bits Mon Sep 18 07:53:00 2023 initial square root is modulo 4673917 Mon Sep 18 07:59:17 2023 GCD is 1, no factor found Mon Sep 18 07:59:17 2023 reading relations for dependency 2 Mon Sep 18 07:59:18 2023 read 14623838 cycles Mon Sep 18 07:59:36 2023 cycles contain 52315560 unique relations Mon Sep 18 08:00:04 2023 read 52315560 relations Mon Sep 18 08:02:30 2023 multiplying 52315560 relations Mon Sep 18 08:06:28 2023 multiply complete, coefficients have about 1486.89 million bits Mon Sep 18 08:06:30 2023 initial square root is modulo 4674907 Mon Sep 18 08:12:47 2023 sqrtTime: 1617 Mon Sep 18 08:12:47 2023 p95 factor: 97074260239512168335778577509531367446651560779656414398495263893890355742132337301214150608073 Mon Sep 18 08:12:47 2023 p139 factor: 1965054649410434658344518793268088210806312957237278339389661924995514028505229147262335894877161263392801895249351888963218483098405471731 Mon Sep 18 08:12:47 2023 elapsed time 00:26:58