C152_6_228_1

Factors:
P57 = 332080471033832771889968607256629370881170937134852385061
P46 = 1953110753179122023052626756554115637889318699
P50 = 18675154899677786076013743290113584335022677816003

04/06/25 00:55:07 v1.34.5 @ LAPTOP-QDT9Q606, System/Build Info:
Using GMP-ECM 6.3, Powered by GMP 5.1.1
cached 78498 primes. pmax = 999983
detected 12th Gen Intel(R) Core(TM) i5-1240P
detected L1 = 49152 bytes, L2 = 12582912 bytes, CL = 64 bytes
measured cpu frequency ~= 2124.380350
using 20 random witnesses for Rabin-Miller PRP checks

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cached 78498 primes. pmax = 999983

04/06/25 00:55:09 v1.34.5 @ LAPTOP-QDT9Q606, Processing expression: nfs(12112517575273404288611618891367641199597839580120036254035878452926222125004964529146701675276052848716515998402098542078414880536562362949088491090917)

04/06/25 00:55:09 v1.34.5 @ LAPTOP-QDT9Q606, nfs: commencing nfs on c152: 12112517575273404288611618891367641199597839580120036254035878452926222125004964529146701675276052848716515998402098542078414880536562362949088491090917
04/06/25 00:55:09 v1.34.5 @ LAPTOP-QDT9Q606, nfs: resuming with filtering
04/06/25 00:55:09 v1.34.5 @ LAPTOP-QDT9Q606, nfs: commencing msieve filtering

Sun Apr 06 00:55:09 2025  commencing relation filtering
Sun Apr 06 00:55:09 2025  estimated available RAM is 16077.8 MB
Sun Apr 06 00:55:09 2025  commencing duplicate removal, pass 1
Sun Apr 06 00:56:23 2025  error -9 reading relation 10794559
Sun Apr 06 00:57:32 2025  error -15 reading relation 22160876
Sun Apr 06 01:00:48 2025  error -9 reading relation 53079101
Sun Apr 06 01:00:54 2025  error -15 reading relation 53757985
Sun Apr 06 01:01:01 2025  found 8517074 hash collisions in 54622265 relations
Sun Apr 06 01:01:48 2025  added 121878 free relations
Sun Apr 06 01:01:48 2025  commencing duplicate removal, pass 2
Sun Apr 06 01:02:40 2025  found 7526616 duplicates and 47217527 unique relations
Sun Apr 06 01:02:40 2025  memory use: 330.4 MB
Sun Apr 06 01:02:40 2025  reading ideals above 720000
Sun Apr 06 01:02:41 2025  commencing singleton removal, initial pass
Sun Apr 06 01:09:47 2025  memory use: 1378.0 MB
Sun Apr 06 01:09:47 2025  reading all ideals from disk
Sun Apr 06 01:09:48 2025  memory use: 1671.6 MB
Sun Apr 06 01:09:52 2025  keeping 44746952 ideals with weight <= 200, target excess is 252796
Sun Apr 06 01:09:58 2025  commencing in-memory singleton removal
Sun Apr 06 01:10:02 2025  begin with 47217527 relations and 44746952 unique ideals
Sun Apr 06 01:10:42 2025  reduce to 28282514 relations and 23751482 ideals in 14 passes
Sun Apr 06 01:10:42 2025  max relations containing the same ideal: 150
Sun Apr 06 01:10:59 2025  removing 4601183 relations and 3601183 ideals in 1000000 cliques
Sun Apr 06 01:11:01 2025  commencing in-memory singleton removal
Sun Apr 06 01:11:04 2025  begin with 23681331 relations and 23751482 unique ideals
Sun Apr 06 01:11:24 2025  reduce to 23098849 relations and 19542468 ideals in 10 passes
Sun Apr 06 01:11:24 2025  max relations containing the same ideal: 129
Sun Apr 06 01:11:39 2025  removing 3652665 relations and 2652665 ideals in 1000000 cliques
Sun Apr 06 01:11:41 2025  commencing in-memory singleton removal
Sun Apr 06 01:11:43 2025  begin with 19446184 relations and 19542468 unique ideals
Sun Apr 06 01:11:56 2025  reduce to 19002485 relations and 16427164 ideals in 8 passes
Sun Apr 06 01:11:56 2025  max relations containing the same ideal: 115
Sun Apr 06 01:12:07 2025  removing 3399640 relations and 2399640 ideals in 1000000 cliques
Sun Apr 06 01:12:09 2025  commencing in-memory singleton removal
Sun Apr 06 01:12:10 2025  begin with 15602845 relations and 16427164 unique ideals
Sun Apr 06 01:12:19 2025  reduce to 15155423 relations and 13558560 ideals in 8 passes
Sun Apr 06 01:12:19 2025  max relations containing the same ideal: 100
Sun Apr 06 01:12:29 2025  removing 3292723 relations and 2292723 ideals in 1000000 cliques
Sun Apr 06 01:12:30 2025  commencing in-memory singleton removal
Sun Apr 06 01:12:31 2025  begin with 11862700 relations and 13558560 unique ideals
Sun Apr 06 01:12:38 2025  reduce to 11354597 relations and 10727212 ideals in 8 passes
Sun Apr 06 01:12:38 2025  max relations containing the same ideal: 82
Sun Apr 06 01:12:43 2025  removing 1396334 relations and 1062193 ideals in 334141 cliques
Sun Apr 06 01:12:43 2025  commencing in-memory singleton removal
Sun Apr 06 01:12:44 2025  begin with 9958263 relations and 10727212 unique ideals
Sun Apr 06 01:12:47 2025  reduce to 9842228 relations and 9545850 ideals in 7 passes
Sun Apr 06 01:12:47 2025  max relations containing the same ideal: 74
Sun Apr 06 01:12:52 2025  relations with 0 large ideals: 721
Sun Apr 06 01:12:52 2025  relations with 1 large ideals: 3000
Sun Apr 06 01:12:52 2025  relations with 2 large ideals: 42758
Sun Apr 06 01:12:52 2025  relations with 3 large ideals: 291888
Sun Apr 06 01:12:52 2025  relations with 4 large ideals: 1041307
Sun Apr 06 01:12:52 2025  relations with 5 large ideals: 2164749
Sun Apr 06 01:12:52 2025  relations with 6 large ideals: 2762673
Sun Apr 06 01:12:52 2025  relations with 7+ large ideals: 3535132
Sun Apr 06 01:12:52 2025  commencing 2-way merge
Sun Apr 06 01:12:58 2025  reduce to 6245578 relation sets and 5949200 unique ideals
Sun Apr 06 01:12:58 2025  commencing full merge
Sun Apr 06 01:14:26 2025  memory use: 733.2 MB
Sun Apr 06 01:14:27 2025  found 3350463 cycles, need 3307400
Sun Apr 06 01:14:27 2025  weight of 3307400 cycles is about 231601780 (70.03/cycle)
Sun Apr 06 01:14:27 2025  distribution of cycle lengths:
Sun Apr 06 01:14:27 2025  1 relations: 369751
Sun Apr 06 01:14:27 2025  2 relations: 386758
Sun Apr 06 01:14:27 2025  3 relations: 398376
Sun Apr 06 01:14:27 2025  4 relations: 378727
Sun Apr 06 01:14:27 2025  5 relations: 359682
Sun Apr 06 01:14:27 2025  6 relations: 321539
Sun Apr 06 01:14:27 2025  7 relations: 277150
Sun Apr 06 01:14:27 2025  8 relations: 227868
Sun Apr 06 01:14:27 2025  9 relations: 179245
Sun Apr 06 01:14:27 2025  10+ relations: 408304
Sun Apr 06 01:14:27 2025  heaviest cycle: 18 relations
Sun Apr 06 01:14:28 2025  commencing cycle optimization
Sun Apr 06 01:14:32 2025  start with 17684151 relations
Sun Apr 06 01:15:01 2025  pruned 479290 relations
Sun Apr 06 01:15:01 2025  memory use: 584.7 MB
Sun Apr 06 01:15:01 2025  distribution of cycle lengths:
Sun Apr 06 01:15:01 2025  1 relations: 369751
Sun Apr 06 01:15:01 2025  2 relations: 395726
Sun Apr 06 01:15:01 2025  3 relations: 413686
Sun Apr 06 01:15:01 2025  4 relations: 390066
Sun Apr 06 01:15:01 2025  5 relations: 371269
Sun Apr 06 01:15:01 2025  6 relations: 328069
Sun Apr 06 01:15:01 2025  7 relations: 281702
Sun Apr 06 01:15:01 2025  8 relations: 226966
Sun Apr 06 01:15:01 2025  9 relations: 174746
Sun Apr 06 01:15:01 2025  10+ relations: 355419
Sun Apr 06 01:15:01 2025  heaviest cycle: 18 relations
Sun Apr 06 01:15:04 2025  RelProcTime: 1195

04/06/25 01:15:04 v1.34.5 @ LAPTOP-QDT9Q606, nfs: commencing msieve linear algebra

Sun Apr 06 01:15:04 2025  commencing linear algebra
Sun Apr 06 01:15:04 2025  read 3307400 cycles
Sun Apr 06 01:15:09 2025  cycles contain 9642432 unique relations
Sun Apr 06 01:15:49 2025  read 9642432 relations
Sun Apr 06 01:16:04 2025  using 20 quadratic characters above 536870910
Sun Apr 06 01:16:47 2025  building initial matrix
Sun Apr 06 01:18:34 2025  memory use: 1320.1 MB
Sun Apr 06 01:18:36 2025  read 3307400 cycles
Sun Apr 06 01:18:37 2025  matrix is 3307220 x 3307400 (1002.9 MB) with weight 314546005 (95.10/col)
Sun Apr 06 01:18:37 2025  sparse part has weight 223208793 (67.49/col)
Sun Apr 06 01:19:06 2025  filtering completed in 2 passes
Sun Apr 06 01:19:06 2025  matrix is 3306355 x 3306534 (1002.8 MB) with weight 314513989 (95.12/col)
Sun Apr 06 01:19:06 2025  sparse part has weight 223200503 (67.50/col)
Sun Apr 06 01:19:14 2025  matrix starts at (0, 0)
Sun Apr 06 01:19:14 2025  matrix is 3306355 x 3306534 (1002.8 MB) with weight 314513989 (95.12/col)
Sun Apr 06 01:19:14 2025  sparse part has weight 223200503 (67.50/col)
Sun Apr 06 01:19:14 2025  saving the first 48 matrix rows for later
Sun Apr 06 01:19:15 2025  matrix includes 64 packed rows
Sun Apr 06 01:19:16 2025  matrix is 3306307 x 3306534 (963.4 MB) with weight 250406169 (75.73/col)
Sun Apr 06 01:19:16 2025  sparse part has weight 219494099 (66.38/col)
Sun Apr 06 01:19:16 2025  using block size 65536 for processor cache size 12288 kB
Sun Apr 06 01:19:32 2025  commencing Lanczos iteration (8 threads)
Sun Apr 06 01:19:32 2025  memory use: 948.0 MB
Sun Apr 06 01:19:45 2025  linear algebra at 0.0%, ETA 7h49m
Sun Apr 06 01:19:49 2025  checkpointing every 440000 dimensions
Sun Apr 06 10:56:25 2025  lanczos halted after 52289 iterations (dim = 3306306)
Sun Apr 06 10:56:31 2025  recovered 32 nontrivial dependencies
Sun Apr 06 10:56:31 2025  BLanczosTime: 34887

04/06/25 10:56:31 v1.34.5 @ LAPTOP-QDT9Q606, nfs: commencing msieve sqrt


Sun Apr 06 10:56:31 2025  commencing square root phase
Sun Apr 06 10:56:31 2025  reading relations for dependency 1
Sun Apr 06 10:56:32 2025  read 1652705 cycles
Sun Apr 06 10:56:36 2025  cycles contain 4818702 unique relations
Sun Apr 06 10:57:35 2025  read 4818702 relations
Sun Apr 06 10:58:10 2025  multiplying 4818702 relations
Sun Apr 06 11:06:36 2025  multiply complete, coefficients have about 251.14 million bits
Sun Apr 06 11:06:38 2025  initial square root is modulo 1029751441
Sun Apr 06 11:16:21 2025  found factor: 18675154899677786076013743290113584335022677816003
Sun Apr 06 11:16:21 2025  reading relations for dependency 2
Sun Apr 06 11:16:22 2025  read 1652994 cycles
Sun Apr 06 11:16:26 2025  cycles contain 4818516 unique relations
Sun Apr 06 11:17:14 2025  read 4818516 relations
Sun Apr 06 11:17:44 2025  multiplying 4818516 relations
Sun Apr 06 11:24:21 2025  multiply complete, coefficients have about 251.13 million bits
Sun Apr 06 11:24:24 2025  initial square root is modulo 1028692213
Sun Apr 06 11:34:20 2025  GCD is N, no factor found
Sun Apr 06 11:34:20 2025  reading relations for dependency 3
Sun Apr 06 11:34:22 2025  read 1653307 cycles
Sun Apr 06 11:34:25 2025  cycles contain 4822678 unique relations
Sun Apr 06 11:35:16 2025  read 4822678 relations
Sun Apr 06 11:35:49 2025  multiplying 4822678 relations
Sun Apr 06 11:43:45 2025  multiply complete, coefficients have about 251.35 million bits
Sun Apr 06 11:43:47 2025  initial square root is modulo 1047242089
Sun Apr 06 11:52:05 2025  sqrtTime: 3334

04/06/25 11:52:05 v1.34.5 @ LAPTOP-QDT9Q606, prp57 = 332080471033832771889968607256629370881170937134852385061
04/06/25 11:52:05 v1.34.5 @ LAPTOP-QDT9Q606, prp46 = 1953110753179122023052626756554115637889318699
04/06/25 11:52:05 v1.34.5 @ LAPTOP-QDT9Q606, prp50 = 18675154899677786076013743290113584335022677816003
04/06/25 11:52:06 v1.34.5 @ LAPTOP-QDT9Q606, NFS elapsed time = 39416.8969 seconds.
04/06/25 11:52:06 v1.34.5 @ LAPTOP-QDT9Q606,
04/06/25 11:52:06 v1.34.5 @ LAPTOP-QDT9Q606,