172913888336780467690263063807261246275161357843539102412942631186334326397673145765737144317588648528768749447255826072128441<126>

16175411437595509165431443347786783802907240938766424039997<59>
10689922108249277857120166986498125513507568583651843187477384663853<68>

08/02/21 03:11:01 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing nfs on c126: 172913888336780467690263063807261246275161357843539102412942631186334326397673145765737144317588648528768749447255826072128441
08/02/21 03:11:01 v1.34.5 @ DESKTOP-RJPVCOL, nfs: continuing with sieving - could not determine last special q; using default startq
08/02/21 03:11:01 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:13:11 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:15:21 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:17:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:19:44 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:21:57 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:24:07 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:26:19 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:28:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:30:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:33:05 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:35:14 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:37:26 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:39:40 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:41:56 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:44:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:46:31 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:48:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:51:00 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:53:13 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:55:27 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:57:40 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 03:59:59 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:02:13 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:04:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:06:44 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:08:58 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:11:15 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:13:34 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:15:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:18:06 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:20:22 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:22:40 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:24:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:27:15 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:29:35 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:31:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:34:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:36:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:38:51 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:41:09 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:43:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:45:45 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:48:07 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:50:27 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:52:51 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:55:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:57:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 04:59:52 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:02:19 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:04:38 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:06:58 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:09:17 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:11:38 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:13:59 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:16:22 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:18:44 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:21:06 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:23:29 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:25:53 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:28:15 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:30:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:32:57 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:35:21 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:37:44 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:40:04 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:42:23 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:44:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:47:13 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
08/02/21 05:47:47 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 4692598
08/02/21 05:47:47 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:50:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:52:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:55:05 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 05:57:31 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
08/02/21 05:58:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 4951639
08/02/21 05:58:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:00:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:02:54 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:05:20 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:07:47 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
08/02/21 06:08:25 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 5208205
08/02/21 06:08:25 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:10:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:13:18 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:15:46 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:18:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:20:39 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
08/02/21 06:21:21 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 5526302
08/02/21 06:21:21 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:23:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:26:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:28:33 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:30:57 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:33:26 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
08/02/21 06:34:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 5839353
08/02/21 06:34:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:36:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:38:59 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:41:29 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:43:52 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:46:15 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
08/02/21 06:47:01 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 6148812
08/02/21 06:47:01 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:49:27 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:51:53 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:54:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:56:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 06:59:07 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
08/02/21 06:59:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 6457928
08/02/21 06:59:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 07:02:19 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 07:04:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 07:07:11 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 07:09:37 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 07:12:04 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 07:14:33 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
08/02/21 07:15:24 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 6822189
08/02/21 07:15:24 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 07:17:46 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 07:20:09 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 07:22:33 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 07:24:58 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 07:27:22 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/02/21 07:29:44 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
08/02/21 07:31:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
08/02/21 07:40:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
08/02/21 07:42:20 v1.34.5 @ DESKTOP-RJPVCOL, prp59 = 16175411437595509165431443347786783802907240938766424039997
08/02/21 07:42:20 v1.34.5 @ DESKTOP-RJPVCOL, prp68 = 10689922108249277857120166986498125513507568583651843187477384663853
08/02/21 07:42:20 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 16278.8992 seconds.

18026255342333263212522389795477757794066123089741201234337234053241296491037420137689023096040833573254415483637321354038120621768597<134>

7694926016878488699206564207411598439743201109657289508707<58>
2342615809793810718951023242783349508411636323148903859947477259977938287271<76>

18026255342333263212522389795477757794066123089741201234337234053241296491037420137689023096040833573254415483637321354038120621768597=7694926016878488699206564207411598439743201109657289508707*2342615809793810718951023242783349508411636323148903859947477259977938287271

cado polynomial
n: 18026255342333263212522389795477757794066123089741201234337234053241296491037420137689023096040833573254415483637321354038120621768597
skew: 0.24
type: snfs
c0: -1
c5: 1225
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 1225*x^5-1
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4400000
tasks.lim1 = 4400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2342615809793810718951023242783349508411636323148903859947477259977938287271 7694926016878488699206564207411598439743201109657289508707
Info:Square Root: Total cpu/real time for sqrt: 330.97/101.166
Info:Filtering - Singleton removal: Total cpu/real time for purge: 49.27/54.9463
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11645224
Info:Lattice Sieving: Average J: 1893.57 for 387136 special-q, max bucket fill -bkmult 1.0,1s:1.207880
Info:Lattice Sieving: Total time: 48379.2s
Info:Linear Algebra: Total cpu/real time for bwc: 8085.78/2093.33
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5059.61, WCT time 1297.62, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22528 iterations)
Info:Linear Algebra: Lingen CPU time 126.49, WCT time 32.2
Info:Linear Algebra: Mksol: CPU time 2787.51,  WCT time 722.5, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11264 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.9/1.06315
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45/49.5816
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.36/89.4658
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 81.0s
Info:Filtering - Merging: Merged matrix has 716761 rows and total weight 121931376 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 154.03/43.6157
Info:Filtering - Merging: Total cpu/real time for replay: 25.49/21.2908
Info:Quadratic Characters: Total cpu/real time for characters: 25.54/10.0711
Info:Square Root: Total cpu/real time for sqrt: 330.97/101.166
Info:Generate Free Relations: Total cpu/real time for freerel: 60.49/17.0992
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 98206.9/26892.8
Info:root: Cleaning up computation data in /tmp/cado.q6q6qphy
2342615809793810718951023242783349508411636323148903859947477259977938287271 7694926016878488699206564207411598439743201109657289508707

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

160187417378064059194489998258888908941932216963109105801882030170126432931397228102077253031098038010014637997571289948059533851979653<135>

32933514722240517079913248921536186942660888245350071372731591<62>
4863963616670618921273242648938866681587579316225517228766099186971833683<73>

160187417378064059194489998258888908941932216963109105801882030170126432931397228102077253031098038010014637997571289948059533851979653=32933514722240517079913248921536186942660888245350071372731591*4863963616670618921273242648938866681587579316225517228766099186971833683

cado polynomial
n: 160187417378064059194489998258888908941932216963109105801882030170126432931397228102077253031098038010014637997571289948059533851979653
skew: 0.61
type: snfs
c0: -4
c5: 49
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 49*x^5-4
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6200000
tasks.lim1 = 6200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4863963616670618921273242648938866681587579316225517228766099186971833683 32933514722240517079913248921536186942660888245350071372731591
Info:Square Root: Total cpu/real time for sqrt: 305.53/94.7932
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22456748
Info:Lattice Sieving: Average J: 1892.94 for 647650 special-q, max bucket fill -bkmult 1.0,1s:1.200130
Info:Lattice Sieving: Total time: 106105s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.67/1.44266
Info:Generate Free Relations: Total cpu/real time for freerel: 117.87/32.2857
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 87.97/97.776
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 97.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 211.79/181.021
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 164.10000000000002s
Info:Filtering - Merging: Merged matrix has 806990 rows and total weight 137762363 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 185.36/51.7444
Info:Filtering - Merging: Total cpu/real time for replay: 27.5/23.2667
Info:Linear Algebra: Total cpu/real time for bwc: 9960.65/2557.18
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6269.31, WCT time 1601.36, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Linear Algebra: Lingen CPU time 145.34, WCT time 36.97
Info:Linear Algebra: Mksol: CPU time 3421.77,  WCT time 873.92, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 26.77/10.5067
Info:Square Root: Total cpu/real time for sqrt: 305.53/94.7932
Info:Filtering - Singleton removal: Total cpu/real time for purge: 140.31/133.353
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 208448/56466.5
Info:root: Cleaning up computation data in /tmp/cado.33esx6u4
4863963616670618921273242648938866681587579316225517228766099186971833683 32933514722240517079913248921536186942660888245350071372731591

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

15774469352252398809348343482934157373712446427816371705816069989339548780087372951588212360222941043210150548578409235060990659636071256350592969357<149>

9532277715280847561219017851131994534375310894623424227660027871<64>
1654847857292798022979038213393074476135312907527131320667867068194195038254536162067<85>

15774469352252398809348343482934157373712446427816371705816069989339548780087372951588212360222941043210150548578409235060990659636071256350592969357=9532277715280847561219017851131994534375310894623424227660027871*1654847857292798022979038213393074476135312907527131320667867068194195038254536162067

cado polynomial
n: 15774469352252398809348343482934157373712446427816371705816069989339548780087372951588212360222941043210150548578409235060990659636071256350592969357
skew: 0.24
type: snfs
c0: -1
c5: 1225
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 1225*x^5-1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6500000
tasks.lim1 = 6500000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 9532277715280847561219017851131994534375310894623424227660027871 1654847857292798022979038213393074476135312907527131320667867068194195038254536162067
Info:Square Root: Total cpu/real time for sqrt: 548.89/76.5139
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 496.54/311.48
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 279.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 264.28/224.441
Info:Filtering - Merging: Merged matrix has 1010111 rows and total weight 172279314 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 431.62/103.489
Info:Filtering - Merging: Total cpu/real time for replay: 64.33/48.7602
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22416926
Info:Lattice Sieving: Average J: 1894.88 for 910540 special-q, max bucket fill -bkmult 1.0,1s:1.186970
Info:Lattice Sieving: Total time: 338677s
Info:Quadratic Characters: Total cpu/real time for characters: 43.6/11.6627
Info:Generate Factor Base: Total cpu/real time for makefb: 3.48/0.736303
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 240.31/194.725
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 194.5s
Info:Square Root: Total cpu/real time for sqrt: 548.89/76.5139
Info:Generate Free Relations: Total cpu/real time for freerel: 143.74/15.9878
Info:Linear Algebra: Total cpu/real time for bwc: 21855.1/2896.24
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Lingen CPU time 10899.74, WCT time 1059.4
Info:Linear Algebra: Mksol: CPU time 10953.5,  WCT time 1836.01, iteration CPU time 0.09, COMM 0.0, cpu-wait 0.02, comm-wait 0.0 (15872 iterations)
Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 667952/87233.3
9532277715280847561219017851131994534375310894623424227660027871 1654847857292798022979038213393074476135312907527131320667867068194195038254536162067

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

43497660495199009923045886061901300327665733501510394952817341186725245742122118460684208457070497307754411311208356545765017849644877317279307955311204105079<158>

1003033769570596127024396208252093046604009<43>
2193542789752447739039837195612095924180539363293<49>
19769889126416976593930327560190689617365132366172150468069640924267<68>

43497660495199009923045886061901300327665733501510394952817341186725245742122118460684208457070497307754411311208356545765017849644877317279307955311204105079=1003033769570596127024396208252093046604009*2193542789752447739039837195612095924180539363293*19769889126416976593930327560190689617365132366172150468069640924267

cado polynomial
n: 43497660495199009923045886061901300327665733501510394952817341186725245742122118460684208457070497307754411311208356545765017849644877317279307955311204105079
skew: 0.48
type: snfs
c0: -5
c5: 196
Y0: 500000000000000000000000000000000000
Y1: -1
# f(x) = 196*x^5-5
# g(x) = -x+500000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7200000
tasks.lim1 = 7200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1003033769570596127024396208252093046604009 2193542789752447739039837195612095924180539363293 19769889126416976593930327560190689617365132366172150468069640924267
Info:Square Root: Total cpu/real time for sqrt: 531.54/165.176
Info:Filtering - Singleton removal: Total cpu/real time for purge: 107.63/111.528
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22413462
Info:Lattice Sieving: Average J: 1894.13 for 1114706 special-q, max bucket fill -bkmult 1.0,1s:1.183190
Info:Lattice Sieving: Total time: 182305s
Info:Linear Algebra: Total cpu/real time for bwc: 22327.1/5754.64
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 14185.16, WCT time 3635.81, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36864 iterations)
Info:Linear Algebra: Lingen CPU time 227.78, WCT time 57.93
Info:Linear Algebra: Mksol: CPU time 7713.77,  WCT time 1985.13, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18432 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.08/1.68496
Info:Generate Free Relations: Total cpu/real time for freerel: 117.2/31.7934
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.71/101.241
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.62/183.616
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 166.7s
Info:Filtering - Merging: Merged matrix has 1178985 rows and total weight 201419698 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 302.46/83.8841
Info:Filtering - Merging: Total cpu/real time for replay: 42/36.1349
Info:Quadratic Characters: Total cpu/real time for characters: 39.95/16.3092
Info:Square Root: Total cpu/real time for sqrt: 531.54/165.176
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 363096/98049.6
Info:root: Cleaning up computation data in /tmp/cado.jjecro18
1003033769570596127024396208252093046604009 2193542789752447739039837195612095924180539363293 19769889126416976593930327560190689617365132366172150468069640924267

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

508155924947538816161101635487366611969955965840021547875500594140402111454201939923927956969296837060051327267616455978442987911081313892049188185868241575553249<162>

1600879309113514250654953310999810754155463991<46>
3240828091964030682876314336598942825375824968283487169<55>
97945030867175559751300584578313674416505112777177659657110631<62>

***factors found***

PRP55 = 3240828091964030682876314336598942825375824968283487169
PRP46 = 1600879309113514250654953310999810754155463991
PRP62 = 97945030867175559751300584578313674416505112777177659657110631

ans = 1

YAFU 2.0.3

R5 5600x, WSL2 in Windows 11 (build 22000.120)

332207789887105581638104358056753114339364605371393192236086771080956306177217994976941120068421130374025942276424927403456804335728745748583074868386593277389133013<165>

1021804394377650282854127068792105025887707453300416270443680842915139991<73>
325118771963633174046472002572892696529084229178667220995102859149226495070505112813021987443<93>

332207789887105581638104358056753114339364605371393192236086771080956306177217994976941120068421130374025942276424927403456804335728745748583074868386593277389133013=1021804394377650282854127068792105025887707453300416270443680842915139991*325118771963633174046472002572892696529084229178667220995102859149226495070505112813021987443

cado polynomial
n: 332207789887105581638104358056753114339364605371393192236086771080956306177217994976941120068421130374025942276424927403456804335728745748583074868386593277389133013
skew: 0.15
type: snfs
c0: -1
c5: 12250
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 12250*x^5-1
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12000000
tasks.lim1 = 12000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 325118771963633174046472002572892696529084229178667220995102859149226495070505112813021987443 1021804394377650282854127068792105025887707453300416270443680842915139991
Info:Square Root: Total cpu/real time for sqrt: 670.2/207.294
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27347422
Info:Lattice Sieving: Average J: 1896.14 for 2361057 special-q, max bucket fill -bkmult 1.0,1s:1.204400
Info:Lattice Sieving: Total time: 502220s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.13/2.54706
Info:Generate Free Relations: Total cpu/real time for freerel: 119.96/32.6878
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 114.69/133.112
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 132.39999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 508.19/516.167
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 416.79999999999995s
Info:Filtering - Merging: Merged matrix has 2218370 rows and total weight 378031278 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 603.94/166.888
Info:Filtering - Merging: Total cpu/real time for replay: 85.45/73.6367
Info:Linear Algebra: Total cpu/real time for bwc: 83992.4/21508.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 53693.95, WCT time 13716.95, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (69632 iterations)
Info:Linear Algebra: Lingen CPU time 491.35, WCT time 124.42
Info:Linear Algebra: Mksol: CPU time 29047.57,  WCT time 7416.59, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34816 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 77.31/33.5489
Info:Square Root: Total cpu/real time for sqrt: 670.2/207.294
Info:Filtering - Singleton removal: Total cpu/real time for purge: 406.13/475.122
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.02733e+06/274126
Info:root: Cleaning up computation data in /tmp/cado.xfa7ahyp
325118771963633174046472002572892696529084229178667220995102859149226495070505112813021987443 1021804394377650282854127068792105025887707453300416270443680842915139991

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

152521595096606551165881023360344391559280235852133338437360970699731549314002540608053705719551757132168328703806704628758980245575770602890724801331044526996798757<165>

11851083034877169300763027971323030232904460583045627070563609513081131114437646449<83>
12869844439343037913111422643368856215431827934433933488643168589584874431292271093<83>

152521595096606551165881023360344391559280235852133338437360970699731549314002540608053705719551757132168328703806704628758980245575770602890724801331044526996798757=11851083034877169300763027971323030232904460583045627070563609513081131114437646449*12869844439343037913111422643368856215431827934433933488643168589584874431292271093

cado polynomial
n: 152521595096606551165881023360344391559280235852133338437360970699731549314002540608053705719551757132168328703806704628758980245575770602890724801331044526996798757
skew: 0.61
type: snfs
c0: -4
c5: 49
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 49*x^5-4
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13300000
tasks.lim1 = 13300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 11851083034877169300763027971323030232904460583045627070563609513081131114437646449 12869844439343037913111422643368856215431827934433933488643168589584874431292271093
Info:Square Root: Total cpu/real time for sqrt: 3142.94/388.809
Info:Filtering - Merging: Merged matrix has 2458629 rows and total weight 419360188 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1208.56/293.834
Info:Filtering - Merging: Total cpu/real time for replay: 168.18/125.164
Info:Generate Factor Base: Total cpu/real time for makefb: 7.31/1.29574
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1377.38/1069.97
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 820.3000000000001s
Info:Quadratic Characters: Total cpu/real time for characters: 117.61/25.1935
Info:Square Root: Total cpu/real time for sqrt: 3142.94/388.809
Info:Linear Algebra: Total cpu/real time for bwc: 463438/65024.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 124503.79, WCT time 27465.95, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.08, comm-wait 0.0 (77312 iterations)
Info:Linear Algebra: Lingen CPU time 276130.57, WCT time 25654.38
Info:Linear Algebra: Mksol: CPU time 61648.73,  WCT time 11609.01, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (38912 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1063.47/858.171
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28488609
Info:Lattice Sieving: Average J: 1893.6 for 2927819 special-q, max bucket fill -bkmult 1.0,1s:1.076760
Info:Lattice Sieving: Total time: 1.82149e+06s
Info:Generate Free Relations: Total cpu/real time for freerel: 142.82/13.6434
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 346.3/236.904
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 235.60000000000002s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4.05168e+06/431865
Info:root: Cleaning up computation data in /tmp/cado.c2fr6diu
11851083034877169300763027971323030232904460583045627070563609513081131114437646449 12869844439343037913111422643368856215431827934433933488643168589584874431292271093

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

243523723142172871082456621253595887997584475110743358579618105337839830131256096503659886063833682948856458097682807172255389765638712203810162723<147>

760499533488003429445775903083632886840886848920200876928120443<63>
320215479982295556109790781173417651227642861476488273092226087032607099434586019961<84>

243523723142172871082456621253595887997584475110743358579618105337839830131256096503659886063833682948856458097682807172255389765638712203810162723=760499533488003429445775903083632886840886848920200876928120443*320215479982295556109790781173417651227642861476488273092226087032607099434586019961

cado polynomial
n: 243523723142172871082456621253595887997584475110743358579618105337839830131256096503659886063833682948856458097682807172255389765638712203810162723
skew: 0.38
type: snfs
c0: -2
c5: 245
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 245*x^5-2
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16500000
tasks.lim1 = 16500000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 320215479982295556109790781173417651227642861476488273092226087032607099434586019961 760499533488003429445775903083632886840886848920200876928120443
Info:Square Root: Total cpu/real time for sqrt: 1055.26/334.429
Info:Filtering - Singleton removal: Total cpu/real time for purge: 644/756.572
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49001479
Info:Lattice Sieving: Average J: 1894.64 for 4818760 special-q, max bucket fill -bkmult 1.0,1s:1.128740
Info:Lattice Sieving: Total time: 1.58953e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 251260/64320.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 162210.02, WCT time 41405.75, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (114688 iterations)
Info:Linear Algebra: Lingen CPU time 819.29, WCT time 207.92
Info:Linear Algebra: Mksol: CPU time 86772.55,  WCT time 22157.23, iteration CPU time 0.37, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (57344 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 234.16/61.1395
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 208.63/248.629
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 247.99999999999997s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 896.65/894.895
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 731.1999999999999s
Info:Filtering - Merging: Merged matrix has 3655777 rows and total weight 621568240 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1049.65/289.117
Info:Filtering - Merging: Total cpu/real time for replay: 146.86/128.59
Info:Generate Factor Base: Total cpu/real time for makefb: 6.88/3.21626
Info:Quadratic Characters: Total cpu/real time for characters: 131.75/57.4098
Info:Square Root: Total cpu/real time for sqrt: 1055.26/334.429
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.29451e+06/464416
Info:root: Cleaning up computation data in /tmp/cado.kres2wyv
320215479982295556109790781173417651227642861476488273092226087032607099434586019961 760499533488003429445775903083632886840886848920200876928120443

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

652020140747031122863198838247333167259232317535783993622512988510503753080423362861636868233239662329274332068930979306954295551623012439596485292676723<153>

49972715587784963529723239599152699164985465816702795764293<59>
13047522694692363054723201114215713899978176044360561882599283465266288406196291330416034311511<95>

FACTORS
49972715587784963529723239599152699164985465816702795764293
13047522694692363054723201114215713899978176044360561882599283465266288406196291330416034311511
POLYNOMIAL
n: 652020140747031122863198838247333167259232317535783993622512988510503753080423362861636868233239662329274332068930979306954295551623012439596485292676723
skew: 1383674.022
c0: -1834771964387352568591877136451609392
c1: 2729385303729700263300055306582
c2: 6698957912021782754577343
c3: -415578592112181512
c4: -1683545221566
c5: 292320
Y0: -294973752318463071988315460775
Y1: 180913582968876484461703
# MurphyE (Bf=2.147e+09,Bg=2.147e+09,area=5.234e+14) = 4.119e-07
# f(x) = 292320*x^5-1683545221566*x^4-415578592112181512*x^3+6698957912021782754577343*x^2+2729385303729700263300055306582*x-1834771964387352568591877136451609392
# g(x) = 180913582968876484461703*x-294973752318463071988315460775

cado-nfs

2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 24.04

44176489467123629522991953833050998453478182810054621397788669824923827362786444534179704833980872104046374824085475884084318806951314235204521039<146>

131255576465066384899315773560463105063378038833993178900082521<63>
336568476988718137649102698099413070917217340138502585048173947863420663833407376359<84>

44176489467123629522991953833050998453478182810054621397788669824923827362786444534179704833980872104046374824085475884084318806951314235204521039=131255576465066384899315773560463105063378038833993178900082521*336568476988718137649102698099413070917217340138502585048173947863420663833407376359

cado polynomial
n: 44176489467123629522991953833050998453478182810054621397788669824923827362786444534179704833980872104046374824085475884084318806951314235204521039
skew: 72603.848
type: gnfs
c0: 5382718487633264550161596022440
c1: 249414859508379326438632842
c2: -37334689399456605395
c3: -230927784171587143
c4: -90307856310
c5: 4998000
Y0: -9756272333996815893295543055
Y1: 30371401076547018407
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.680e-07
# f(x) = 4998000*x^5-90307856310*x^4-230927784171587143*x^3-37334689399456605395*x^2+249414859508379326438632842*x+5382718487633264550161596022440
# g(x) = 30371401076547018407*x-9756272333996815893295543055

cado parameters (extracts)
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 87
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 131255576465066384899315773560463105063378038833993178900082521 336568476988718137649102698099413070917217340138502585048173947863420663833407376359
Info:Square Root: Total cpu/real time for sqrt: 3236.78/945.815
Info:Generate Free Relations: Total cpu/real time for freerel: 506.06/127.427
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1107.54/1101.89
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 910.9000000000002s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 222.81/272.421
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 271.59999999999997s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 921.84/1045.56
Info:Linear Algebra: Total cpu/real time for bwc: 229202/58708.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 147495.82, WCT time 37639.22, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (110592 iterations)
Info:Linear Algebra: Lingen CPU time 770.16, WCT time 195.38
Info:Linear Algebra: Mksol: CPU time 79538.14,  WCT time 20335.46, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (55296 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 17.81/4.7409
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6005.47
Info:Polynomial Selection (root optimized): Rootsieve time: 6002.95
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49595079
Info:Lattice Sieving: Average J: 3770.17 for 1263136 special-q, max bucket fill -bkmult 1.0,1s:1.127960
Info:Lattice Sieving: Total time: 1.48532e+06s
Info:Square Root: Total cpu/real time for sqrt: 3236.78/945.815
Info:Filtering - Merging: Merged matrix has 3538254 rows and total weight 605748437 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 926.4/261.051
Info:Filtering - Merging: Total cpu/real time for replay: 151.86/132.144
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78874/43.960/52.502/57.850/0.896
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 64239/42.410/47.101/53.240/1.239
Info:Polynomial Selection (size optimized): Total time: 41970.1
Info:Quadratic Characters: Total cpu/real time for characters: 140.46/59.3406
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.14023e+06/75131.5
131255576465066384899315773560463105063378038833993178900082521 336568476988718137649102698099413070917217340138502585048173947863420663833407376359

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

13806565494621899045574838835925505928420624079557192270009885714411084219513495173674897809126819638158293337062777271586775273936796158986537013171048330812169892442348730566500175473320135369<194>

11418392367307721756911486712522575772666273514042887911<56>
1209151433099445254175283811648600592700847692482232769691168483393594400722083819675609695108839782235829235205254401239834441178667766479<139>

Number: n
N=13806565494621899045574838835925505928420624079557192270009885714411084219513495173674897809126819638158293337062777271586775273936796158986537013171048330812169892442348730566500175473320135369
  ( 194 digits)
SNFS difficulty: 208 digits.
Divisors found:

Fri Aug 13 10:01:11 2021  p56 factor: 11418392367307721756911486712522575772666273514042887911
Fri Aug 13 10:01:11 2021  p139 factor: 1209151433099445254175283811648600592700847692482232769691168483393594400722083819675609695108839782235829235205254401239834441178667766479
Fri Aug 13 10:01:11 2021  elapsed time 02:57:54 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 49x10^207-4 = 54(207)
#
n: 13806565494621899045574838835925505928420624079557192270009885714411084219513495173674897809126819638158293337062777271586775273936796158986537013171048330812169892442348730566500175473320135369
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1225
c0: -1
skew: 0.24
# Murphy_E = 6.293e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 52100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9528492 hash collisions in 65254248 relations (58303831 unique)
Msieve: matrix is 2755534 x 2755760 (953.8 MB)

Sieving start time : 2021/08/12 10:03:05
Sieving end time  : 2021/08/13 07:01:40

Total sieving time: 20hrs 58min 35secs.

Total relation processing time: 2hrs 37min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 33sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119240] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5012K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.152638] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.25 BogoMIPS (lpj=12798512)
[    0.150211] smpboot: Total of 16 processors activated (102388.09 BogoMIPS)

1120242815176007207403865406393630461182048722727479520090476978161185286392852566668971837116362266190149384635961008416369475511748229538048107416286148606106226416489133275084777973<184>

25387266828096607148978995154947207689227051040567672052772643578951418888878055536838725986440782816775039045536797763961323771909687009767137248706889122622856078429927761166323037239533518513004721<200>

1600208701565342791015575003259307396729791930616043021654808783483121524851533<79>
15864972364706233023370497524953428580858296814819587135446965931177216671018514550598163717924064780595311175738707106037<122>

Number: n
N=25387266828096607148978995154947207689227051040567672052772643578951418888878055536838725986440782816775039045536797763961323771909687009767137248706889122622856078429927761166323037239533518513004721
  ( 200 digits)
SNFS difficulty: 214 digits.
Divisors found:

Thu Aug 12 10:00:46 2021  p79 factor: 1600208701565342791015575003259307396729791930616043021654808783483121524851533
Thu Aug 12 10:00:46 2021  p122 factor: 15864972364706233023370497524953428580858296814819587135446965931177216671018514550598163717924064780595311175738707106037
Thu Aug 12 10:00:46 2021  elapsed time 04:34:39 (Msieve 1.54 - dependency 8)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 49x10^213-4 = 54(213)
#
n: 25387266828096607148978995154947207689227051040567672052772643578951418888878055536838725986440782816775039045536797763961323771909687009767137248706889122622856078429927761166323037239533518513004721
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 12250
c0: -1
skew: 0.15
# Murphy_E = 4.039e-12
type: snfs
lss: 1
rlim: 26000000
alim: 26000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 26000000/26000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 54600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9496488 hash collisions in 61404290 relations (54033401 unique)
Msieve: matrix is 3115479 x 3115704 (1096.3 MB)

Sieving start time : 2021/08/11 07:34:08
Sieving end time  : 2021/08/12 05:23:45

Total sieving time: 21hrs 49min 37secs.

Total relation processing time: 3hrs 37min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 40min 36sec.

Prototype def-par.txt line would be:
snfs,214,5,0,0,0,0,0,0,0,0,26000000,26000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119240] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5012K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.152638] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.25 BogoMIPS (lpj=12798512)
[    0.150211] smpboot: Total of 16 processors activated (102388.09 BogoMIPS)

504115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893<216>

6477107128867065532847950159590177910335167824251860438225556990822455354103660926404792548224652240644481623830925396803056704483564947910474532991857190048391086591334840040606253321133<187>

45710395551255635990879719082259366207374537005998603877<56>
141698776629578814682740696248451961976176319824832650577124302379856680867029501601632534452573723712315370297935109126436475273129<132>

Number: 54444_219
N = 6477107128867065532847950159590177910335167824251860438225556990822455354103660926404792548224652240644481623830925396803056704483564947910474532991857190048391086591334840040606253321133 (187 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=45710395551255635990879719082259366207374537005998603877 (pp56)
r2=141698776629578814682740696248451961976176319824832650577124302379856680867029501601632534452573723712315370297935109126436475273129 (pp132)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 29.60 hours.
Factorization parameters were as follows:
n: 6477107128867065532847950159590177910335167824251860438225556990822455354103660926404792548224652240644481623830925396803056704483564947910474532991857190048391086591334840040606253321133
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 49
c0: -40
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31581463
Relations: 8211294 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 10.17 hours.
Total relation processing time: 0.27 hours.
Pruned matrix : 7040033 x 7040258
Matrix solve time: 19.04 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 29.60 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

25540697947495456807059736354772166449243168694984863346180676274777015903066888394055805806782231252163721272121280542549067174424605880772136661521453365123141901772274585837634776255854249<191>

104209020572760634243121237238024114952068567579633963942812587038189969598688803<81>
245091046889385902903457878995648442722402483010726286985958700217345379954776293763238335337858902082662041283<111>

Number: 54444_221
N = 25540697947495456807059736354772166449243168694984863346180676274777015903066888394055805806782231252163721272121280542549067174424605880772136661521453365123141901772274585837634776255854249 (191 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=104209020572760634243121237238024114952068567579633963942812587038189969598688803 (pp81)
r2=245091046889385902903457878995648442722402483010726286985958700217345379954776293763238335337858902082662041283 (pp111)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 65.79 hours.
Factorization parameters were as follows:
n: 25540697947495456807059736354772166449243168694984863346180676274777015903066888394055805806782231252163721272121280542549067174424605880772136661521453365123141901772274585837634776255854249
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 245
c0: -2
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31367232
Relations: 8943436 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.33 hours.
Total relation processing time: 0.38 hours.
Pruned matrix : 7590742 x 7590967
Matrix solve time: 46.58 hours.
time per square root: 1.49 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 65.79 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

22664569319141575641387045584104284600515183430145597075453223297327373285253201701101375242124194275321397166517743672072856307634508486992002459367592399535397<161>

214008547045542312023203097327917580538767590081<48>
105904972637931223993131430207966603711774172764517644294120039415073743094130701314670772815744698355557897070437<114>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1262088734
Step 1 took 120328ms
Step 2 took 42776ms
********** Factor found in step 2: 214008547045542312023203097327917580538767590081
Found prime factor of 48 digits: 214008547045542312023203097327917580538767590081
Prime cofactor 105904972637931223993131430207966603711774172764517644294120039415073743094130701314670772815744698355557897070437 has 114 digits

4161114691639370380427226861110455790193075621335666821783074299291982925169763932105156452716670825649618538064165109897893018820630110224496905350492437358039122042733277791394578147<184>

6065821096057674922358679078885812285279519428355488643519725031333664829044802054927692293194964341789734697703818570804909041051803550257686290207884529658979217899416575060488916939529370905551903149198071<208>

20567116986626157759210924916307317144391800130043218974389918047242591838251481245810581449<92>
294928117538398650559051139871542878641976307103954856727121314143070651490659959129719597774747760805395765797516479<117>

Sieving by NFS@home, postprocessing by Dmitry Domanov
-----------------------------------
Mon Oct 31 07:47:22 2022  
Mon Oct 31 07:47:22 2022  
Mon Oct 31 07:47:22 2022  Msieve v. 1.54 (SVN 1043M)
Mon Oct 31 07:47:22 2022  random seeds: 77bd7871 15d8c6b7
Mon Oct 31 07:47:22 2022  factoring 6065821096057674922358679078885812285279519428355488643519725031333664829044802054927692293194964341789734697703818570804909041051803550257686290207884529658979217899416575060488916939529370905551903149198071 (208 digits)
Mon Oct 31 07:47:23 2022  searching for 15-digit factors
Mon Oct 31 07:47:24 2022  commencing number field sieve (208-digit input)
Mon Oct 31 07:47:24 2022  R0: -50000000000000000000000000000000000000
Mon Oct 31 07:47:24 2022  R1: 1
Mon Oct 31 07:47:24 2022  A0: -5
Mon Oct 31 07:47:24 2022  A1: 0
Mon Oct 31 07:47:24 2022  A2: 0
Mon Oct 31 07:47:24 2022  A3: 0
Mon Oct 31 07:47:24 2022  A4: 0
Mon Oct 31 07:47:24 2022  A5: 0
Mon Oct 31 07:47:24 2022  A6: 392
Mon Oct 31 07:47:24 2022  skew 0.48, size 2.400e-11, alpha -0.192, combined = 1.206e-12 rroots = 2
Mon Oct 31 07:47:24 2022  
Mon Oct 31 07:47:24 2022  commencing relation filtering
Mon Oct 31 07:47:24 2022  setting target matrix density to 130.0
Mon Oct 31 07:47:24 2022  estimated available RAM is 63624.2 MB
Mon Oct 31 07:47:24 2022  commencing duplicate removal, pass 1
Mon Oct 31 08:05:33 2022  skipped 32 relations with b > 2^32
Mon Oct 31 08:05:33 2022  found 5103602 hash collisions in 108195991 relations
Mon Oct 31 08:05:56 2022  added 1218648 free relations
Mon Oct 31 08:05:56 2022  commencing duplicate removal, pass 2
Mon Oct 31 08:06:36 2022  found 1 duplicates and 109414638 unique relations
Mon Oct 31 08:06:36 2022  memory use: 378.4 MB
Mon Oct 31 08:06:36 2022  reading ideals above 720000
Mon Oct 31 08:06:36 2022  commencing singleton removal, initial pass
Mon Oct 31 08:23:40 2022  memory use: 2756.0 MB
Mon Oct 31 08:23:40 2022  reading all ideals from disk
Mon Oct 31 08:23:43 2022  memory use: 4100.4 MB
Mon Oct 31 08:23:55 2022  keeping 92633016 ideals with weight <= 200, target excess is 570474
Mon Oct 31 08:24:08 2022  commencing in-memory singleton removal
Mon Oct 31 08:24:19 2022  begin with 109414638 relations and 92633016 unique ideals
Mon Oct 31 08:26:01 2022  reduce to 77917857 relations and 58424437 ideals in 12 passes
Mon Oct 31 08:26:01 2022  max relations containing the same ideal: 168
Mon Oct 31 08:26:38 2022  removing 8015171 relations and 6015171 ideals in 2000000 cliques
Mon Oct 31 08:26:44 2022  commencing in-memory singleton removal
Mon Oct 31 08:26:52 2022  begin with 69902686 relations and 58424437 unique ideals
Mon Oct 31 08:27:50 2022  reduce to 69238578 relations and 51724079 ideals in 8 passes
Mon Oct 31 08:27:50 2022  max relations containing the same ideal: 155
Mon Oct 31 08:28:23 2022  removing 6436749 relations and 4436749 ideals in 2000000 cliques
Mon Oct 31 08:28:27 2022  commencing in-memory singleton removal
Mon Oct 31 08:28:32 2022  begin with 62801829 relations and 51724079 unique ideals
Mon Oct 31 08:29:17 2022  reduce to 62339535 relations and 46811649 ideals in 7 passes
Mon Oct 31 08:29:17 2022  max relations containing the same ideal: 146
Mon Oct 31 08:29:49 2022  removing 5997833 relations and 3997833 ideals in 2000000 cliques
Mon Oct 31 08:29:52 2022  commencing in-memory singleton removal
Mon Oct 31 08:29:57 2022  begin with 56341702 relations and 46811649 unique ideals
Mon Oct 31 08:30:36 2022  reduce to 55927468 relations and 42387214 ideals in 6 passes
Mon Oct 31 08:30:36 2022  max relations containing the same ideal: 134
Mon Oct 31 08:31:03 2022  removing 5772219 relations and 3772219 ideals in 2000000 cliques
Mon Oct 31 08:31:06 2022  commencing in-memory singleton removal
Mon Oct 31 08:31:10 2022  begin with 50155249 relations and 42387214 unique ideals
Mon Oct 31 08:31:45 2022  reduce to 49754671 relations and 38201698 ideals in 7 passes
Mon Oct 31 08:31:45 2022  max relations containing the same ideal: 123
Mon Oct 31 08:32:09 2022  removing 5637417 relations and 3637417 ideals in 2000000 cliques
Mon Oct 31 08:32:12 2022  commencing in-memory singleton removal
Mon Oct 31 08:32:15 2022  begin with 44117254 relations and 38201698 unique ideals
Mon Oct 31 08:32:45 2022  reduce to 43710614 relations and 34143361 ideals in 7 passes
Mon Oct 31 08:32:45 2022  max relations containing the same ideal: 115
Mon Oct 31 08:33:08 2022  removing 5551180 relations and 3551180 ideals in 2000000 cliques
Mon Oct 31 08:33:11 2022  commencing in-memory singleton removal
Mon Oct 31 08:33:14 2022  begin with 38159434 relations and 34143361 unique ideals
Mon Oct 31 08:33:39 2022  reduce to 37732952 relations and 30149205 ideals in 6 passes
Mon Oct 31 08:33:39 2022  max relations containing the same ideal: 103
Mon Oct 31 08:34:02 2022  removing 5490694 relations and 3490694 ideals in 2000000 cliques
Mon Oct 31 08:34:05 2022  commencing in-memory singleton removal
Mon Oct 31 08:34:08 2022  begin with 32242258 relations and 30149205 unique ideals
Mon Oct 31 08:34:34 2022  reduce to 31777512 relations and 26173164 ideals in 8 passes
Mon Oct 31 08:34:34 2022  max relations containing the same ideal: 94
Mon Oct 31 08:34:50 2022  removing 5448708 relations and 3448708 ideals in 2000000 cliques
Mon Oct 31 08:34:52 2022  commencing in-memory singleton removal
Mon Oct 31 08:34:55 2022  begin with 26328804 relations and 26173164 unique ideals
Mon Oct 31 08:35:13 2022  reduce to 25804603 relations and 22172696 ideals in 7 passes
Mon Oct 31 08:35:13 2022  max relations containing the same ideal: 85
Mon Oct 31 08:35:26 2022  removing 5416387 relations and 3416387 ideals in 2000000 cliques
Mon Oct 31 08:35:28 2022  commencing in-memory singleton removal
Mon Oct 31 08:35:29 2022  begin with 20388216 relations and 22172696 unique ideals
Mon Oct 31 08:35:43 2022  reduce to 19754403 relations and 18081730 ideals in 8 passes
Mon Oct 31 08:35:43 2022  max relations containing the same ideal: 71
Mon Oct 31 08:35:53 2022  removing 3053374 relations and 2042451 ideals in 1010923 cliques
Mon Oct 31 08:35:55 2022  commencing in-memory singleton removal
Mon Oct 31 08:35:57 2022  begin with 16701029 relations and 18081730 unique ideals
Mon Oct 31 08:36:09 2022  reduce to 16360663 relations and 15682921 ideals in 7 passes
Mon Oct 31 08:36:09 2022  max relations containing the same ideal: 60
Mon Oct 31 08:36:18 2022  removing 93412 relations and 77420 ideals in 15992 cliques
Mon Oct 31 08:36:19 2022  commencing in-memory singleton removal
Mon Oct 31 08:36:21 2022  begin with 16267251 relations and 15682921 unique ideals
Mon Oct 31 08:36:27 2022  reduce to 16266834 relations and 15605084 ideals in 4 passes
Mon Oct 31 08:36:27 2022  max relations containing the same ideal: 60
Mon Oct 31 08:36:31 2022  relations with 0 large ideals: 21255
Mon Oct 31 08:36:31 2022  relations with 1 large ideals: 15579
Mon Oct 31 08:36:31 2022  relations with 2 large ideals: 174995
Mon Oct 31 08:36:31 2022  relations with 3 large ideals: 924159
Mon Oct 31 08:36:31 2022  relations with 4 large ideals: 2566670
Mon Oct 31 08:36:31 2022  relations with 5 large ideals: 4167643
Mon Oct 31 08:36:31 2022  relations with 6 large ideals: 4171012
Mon Oct 31 08:36:31 2022  relations with 7+ large ideals: 4225521
Mon Oct 31 08:36:31 2022  commencing 2-way merge
Mon Oct 31 08:36:42 2022  reduce to 11100250 relation sets and 10438500 unique ideals
Mon Oct 31 08:36:42 2022  commencing full merge
Mon Oct 31 08:41:22 2022  memory use: 1355.3 MB
Mon Oct 31 08:41:23 2022  found 4796661 cycles, need 4788700
Mon Oct 31 08:41:25 2022  weight of 4788700 cycles is about 623128753 (130.12/cycle)
Mon Oct 31 08:41:25 2022  distribution of cycle lengths:
Mon Oct 31 08:41:25 2022  1 relations: 125690
Mon Oct 31 08:41:25 2022  2 relations: 207877
Mon Oct 31 08:41:25 2022  3 relations: 269989
Mon Oct 31 08:41:25 2022  4 relations: 298575
Mon Oct 31 08:41:25 2022  5 relations: 324459
Mon Oct 31 08:41:25 2022  6 relations: 335482
Mon Oct 31 08:41:25 2022  7 relations: 338565
Mon Oct 31 08:41:25 2022  8 relations: 330740
Mon Oct 31 08:41:25 2022  9 relations: 318561
Mon Oct 31 08:41:25 2022  10+ relations: 2238762
Mon Oct 31 08:41:25 2022  heaviest cycle: 28 relations
Mon Oct 31 08:41:26 2022  commencing cycle optimization
Mon Oct 31 08:41:37 2022  start with 47591152 relations
Mon Oct 31 08:43:46 2022  pruned 2741186 relations
Mon Oct 31 08:43:46 2022  memory use: 1160.7 MB
Mon Oct 31 08:43:46 2022  distribution of cycle lengths:
Mon Oct 31 08:43:46 2022  1 relations: 125690
Mon Oct 31 08:43:46 2022  2 relations: 213706
Mon Oct 31 08:43:46 2022  3 relations: 282748
Mon Oct 31 08:43:46 2022  4 relations: 314097
Mon Oct 31 08:43:46 2022  5 relations: 345064
Mon Oct 31 08:43:46 2022  6 relations: 357039
Mon Oct 31 08:43:46 2022  7 relations: 362836
Mon Oct 31 08:43:46 2022  8 relations: 353983
Mon Oct 31 08:43:46 2022  9 relations: 339923
Mon Oct 31 08:43:46 2022  10+ relations: 2093614
Mon Oct 31 08:43:46 2022  heaviest cycle: 28 relations
Mon Oct 31 08:43:57 2022  RelProcTime: 3393
Mon Oct 31 08:43:57 2022  
Mon Oct 31 08:43:57 2022  commencing linear algebra
Mon Oct 31 08:43:57 2022  read 4788700 cycles
Mon Oct 31 08:44:10 2022  cycles contain 15959383 unique relations
Mon Oct 31 08:45:39 2022  read 15959383 relations
Mon Oct 31 08:46:08 2022  using 20 quadratic characters above 4294917295
Mon Oct 31 08:47:33 2022  building initial matrix
Mon Oct 31 08:51:50 2022  memory use: 2061.8 MB
Mon Oct 31 08:51:53 2022  read 4788700 cycles
Mon Oct 31 08:51:54 2022  matrix is 4788523 x 4788700 (2377.7 MB) with weight 688236554 (143.72/col)
Mon Oct 31 08:51:54 2022  sparse part has weight 570615119 (119.16/col)
Mon Oct 31 08:52:57 2022  filtering completed in 2 passes
Mon Oct 31 08:52:58 2022  matrix is 4788478 x 4788655 (2377.7 MB) with weight 688234845 (143.72/col)
Mon Oct 31 08:52:58 2022  sparse part has weight 570614521 (119.16/col)
Mon Oct 31 08:53:17 2022  matrix starts at (0, 0)
Mon Oct 31 08:53:18 2022  matrix is 4788478 x 4788655 (2377.7 MB) with weight 688234845 (143.72/col)
Mon Oct 31 08:53:18 2022  sparse part has weight 570614521 (119.16/col)
Mon Oct 31 08:53:18 2022  saving the first 48 matrix rows for later
Mon Oct 31 08:53:19 2022  matrix includes 64 packed rows
Mon Oct 31 08:53:20 2022  matrix is 4788430 x 4788655 (2290.6 MB) with weight 595248002 (124.30/col)
Mon Oct 31 08:53:20 2022  sparse part has weight 552574727 (115.39/col)
Mon Oct 31 08:53:20 2022  using block size 8192 and superblock size 3514368 for processor cache size 36608 kB
Mon Oct 31 08:53:37 2022  commencing Lanczos iteration (4 threads)
Mon Oct 31 08:53:37 2022  memory use: 2157.0 MB
Mon Oct 31 08:53:52 2022  linear algebra at 0.0%, ETA 13h 6m
Mon Oct 31 08:53:57 2022  checkpointing every 370000 dimensions
Tue Nov  1 00:38:05 2022  lanczos halted after 75727 iterations (dim = 4788426)
Tue Nov  1 00:38:11 2022  recovered 32 nontrivial dependencies
Tue Nov  1 00:38:11 2022  BLanczosTime: 57254
Tue Nov  1 00:38:11 2022  
Tue Nov  1 00:38:11 2022  commencing square root phase
Tue Nov  1 00:38:11 2022  handling dependencies 1 to 64
Tue Nov  1 00:38:11 2022  reading relations for dependency 1
Tue Nov  1 00:38:12 2022  read 2393326 cycles
Tue Nov  1 00:38:17 2022  cycles contain 7980196 unique relations
Tue Nov  1 00:39:04 2022  read 7980196 relations
Tue Nov  1 00:39:45 2022  multiplying 7980196 relations
Tue Nov  1 00:46:10 2022  multiply complete, coefficients have about 258.49 million bits
Tue Nov  1 00:46:11 2022  initial square root is modulo 1889284753
Tue Nov  1 00:54:50 2022  sqrtTime: 999
Tue Nov  1 00:54:50 2022  p92 factor: 20567116986626157759210924916307317144391800130043218974389918047242591838251481245810581449
Tue Nov  1 00:54:50 2022  p117 factor: 294928117538398650559051139871542878641976307103954856727121314143070651490659959129719597774747760805395765797516479
Tue Nov  1 00:54:50 2022  elapsed time 17:07:28

5684081716081751190621674565987760538487229179786063747833499158884666625903835067802415848700032335164398832006384319380838859298823154743547<142>

107300579292025990167518059890079123850595816860867<51>
52973448545996451951941385350049104009275849525830307199455160971657594681843414095015944041<92>

5684081716081751190621674565987760538487229179786063747833499158884666625903835067802415848700032335164398832006384319380838859298823154743547=107300579292025990167518059890079123850595816860867*52973448545996451951941385350049104009275849525830307199455160971657594681843414095015944041

cado polynomial
n: 5684081716081751190621674565987760538487229179786063747833499158884666625903835067802415848700032335164398832006384319380838859298823154743547
skew: 467118.796
c0: 813999835111580668312003866292235
c1: -15575491762904157129444425242
c2: -42387052795427454117137
c3: -258055032563216516
c4: 215857639380
c5: 226800
Y0: -2563394259547899127825875258
Y1: 455928960115670385389
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.176e-07
# f(x) = 226800*x^5+215857639380*x^4-258055032563216516*x^3-42387052795427454117137*x^2-15575491762904157129444425242*x+813999835111580668312003866292235
# g(x) = 455928960115670385389*x-2563394259547899127825875258

cado parameters (extracts)
tasks.lim0 = 9457107
tasks.lim1 = 12662444
tasks.lpb0 = 28
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 52973448545996451951941385350049104009275849525830307199455160971657594681843414095015944041 107300579292025990167518059890079123850595816860867
Info:Square Root: Total cpu/real time for sqrt: 1608.55/432.917
Info:Generate Factor Base: Total cpu/real time for makefb: 11.78/3.12779
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 153.79/177.786
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 177.39999999999998s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 10055.4
Info:Polynomial Selection (root optimized): Rootsieve time: 10052.9
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 564.96/526.257
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 453.09999999999997s
Info:Filtering - Merging: Merged matrix has 1983338 rows and total weight 338421289 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 509.14/144.088
Info:Filtering - Merging: Total cpu/real time for replay: 80.19/68.4722
Info:Linear Algebra: Total cpu/real time for bwc: 64612/16578.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 41417.34, WCT time 10578.45, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (62208 iterations)
Info:Linear Algebra: Lingen CPU time 395.06, WCT time 100.44
Info:Linear Algebra: Mksol: CPU time 22420.28,  WCT time 5746.14, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (31232 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 76.16/33.84
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66362/42.330/51.031/55.240/0.915
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 53935/41.600/45.793/51.820/1.252
Info:Polynomial Selection (size optimized): Total time: 22622.1
Info:Generate Free Relations: Total cpu/real time for freerel: 493.54/124.272
Info:Square Root: Total cpu/real time for sqrt: 1608.55/432.917
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33926770
Info:Lattice Sieving: Average J: 3794.26 for 1030776 special-q, max bucket fill -bkmult 1.0,1s:1.146930
Info:Lattice Sieving: Total time: 369061s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 341.67/390.403
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 791949/211727
Info:root: Cleaning up computation data in /tmp/cado.c4r0i2h5
52973448545996451951941385350049104009275849525830307199455160971657594681843414095015944041 107300579292025990167518059890079123850595816860867

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

3281359457973115311011889807650303093122666144962427297361462991760020950682321274203129522899656322977000758151946537467589557639852685787521105312176746641487036122505604825301457063628575269432071<199>

7611234894302292384929153043990723356003971043979709493077857823063259636732542464776941704253712278896622081690378670976757091953609778610368119804659293412045837939985061663540807890156111<190>

259648129923181841454584312915165133802057023846305710742041490333032031159391402984996870074891155180270171171780548561920594751467826645319439<144>

84524856330378195901111726455313719649966691430761<50>
3071855323933445346114845613744414524629345552140759441281535770821595504099641355035692918199<94>

Info:Polynomial Selection (size optimized): Starting
Info:Polynomial Selection (size optimized): 200 polynomials in queue from previous run, worst exp_E 38.970000
Info:Polynomial Selection (size optimized): Already finished - nothing to do
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78434/42.010/51.672/57.080/0.919
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 64360/41.350/46.181/52.380/1.081
Info:Polynomial Selection (size optimized): Total time: 82273.5
Info:Polynomial Selection (root optimized): Starting
Info:Polynomial Selection (root optimized): Best polynomial previously has Murphy_E = 2.095e-07
Info:Polynomial Selection (root optimized): Already finished - nothing to do
Info:Polynomial Selection (root optimized): Best overall polynomial was 1-th in list after size optimization
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4238.8
Info:Polynomial Selection (root optimized): Rootsieve time: 4235.88

Info:Lattice Sieving: Starting
Info:Lattice Sieving: We want 43267462 relation(s)
Info:Lattice Sieving: Reached target of 43267462 relations, now have 47923451
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 47923451
Info:Lattice Sieving: Average J: 3806.74 for 926478 special-q, max bucket fill -bkmult 1.0,1s:1.084090
Info:Lattice Sieving: Total time: 1.58447e+06s
Info:Filtering - Duplicate Removal, splitting pass: Starting
Info:Filtering - Duplicate Removal, splitting pass: No new files to split
Info:Filtering - Duplicate Removal, splitting pass: Relations per slice: 0: 23958724, 1: 23964727
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 317.82/151.331
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 150.39999999999998s




Info:Linear Algebra: Total cpu/real time for bwc: 892694/12063.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 494338.83, WCT time 6976.47, iteration CPU time 0.08, COMM 0.02, cpu-wait 0.03, comm-wait 0.0 (95744 iterations)
Info:Linear Algebra: Lingen CPU time 19687.73, WCT time 215.66
Info:Linear Algebra: Mksol: CPU time 378638.36,  WCT time 4866.24, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (48128 iterations)
Info:Quadratic Characters: Starting
Info:Quadratic Characters: Total cpu/real time for characters: 270.23/25.0576
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 84524856330378195901111726455313719649966691430761 3071855323933445346114845613744414524629345552140759441281535770821595504099641355035692918199
Info:Square Root: Total cpu/real time for sqrt: 12741.6/434.147
Info:Quadratic Characters: Total cpu/real time for characters: 270.23/25.0576
Info:Generate Factor Base: Total cpu/real time for makefb: 33.31/1.34692
Info:Square Root: Total cpu/real time for sqrt: 12741.6/434.147
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4238.8
Info:Polynomial Selection (root optimized): Rootsieve time: 4235.88
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1907.02/1169.03
Info:Linear Algebra: Total cpu/real time for bwc: 892694/12063.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 494338.83, WCT time 6976.47, iteration CPU time 0.08, COMM 0.02, cpu-wait 0.03, comm-wait 0.0 (95744 iterations)
Info:Linear Algebra: Lingen CPU time 19687.73, WCT time 215.66
Info:Linear Algebra: Mksol: CPU time 378638.36,  WCT time 4866.24, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (48128 iterations)
Info:Filtering - Merging: Total cpu/real time for merge: 4434.15/77.6693
Info:Filtering - Merging: Total cpu/real time for replay: 113.51/85.5266
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 47923451
Info:Lattice Sieving: Average J: 3806.74 for 926478 special-q, max bucket fill -bkmult 1.0,1s:1.084090
Info:Lattice Sieving: Total time: 1.58447e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 317.82/151.331
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 150.39999999999998s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78434/42.010/51.672/57.080/0.919
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 64360/41.350/46.181/52.380/1.081
Info:Polynomial Selection (size optimized): Total time: 82273.5
Info:Generate Free Relations: Total cpu/real time for freerel: 685.35/11.4244
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1578.07/682.865
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 527.8000000000001s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4.04156e+06/12527.9
84524856330378195901111726455313719649966691430761 3071855323933445346114845613744414524629345552140759441281535770821595504099641355035692918199

Cado-NFS

565632027439950312856619088448625842639666377233120202160703588957952524116794789333932861327822255500599032154689268495436512970059275240924203329945165279342409588486711214999153858657999<189>

1141467360468236105490281111540583490528228644353099762330358183828510548477993119802359486664416635781363941910066255773493770774317005518817568470170416749862073789363833315852355668504876127752417330080904247370003297301871252181243<235>

26419530935268967597256312389839278015763686268176222377270039472410855634381466220575936744214683408227494945450714918837616269118054512479614073021279075567327646643452940966305979142444455088338707982426369213<212>

9017135119522652923308018473395549207759590250045478061379153335540492079014449102176787154427424946827195508954661767387959367043931323734547738528141403723760684642166279767597757847515060382777542313664645885986188813<220>

166924782301131617237383200968154999807373<42>

54019151591617944678416557870748955374427643465461438529246220182165127029198834973801919961540643886099497963641176485699473275365880622769981567347808644949842509663034780529281<179>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=308581574
Step 1 took 55544ms
Step 2 took 17584ms
********** Factor found in step 2: 166924782301131617237383200968154999807373
Found probable prime factor of 42 digits: 166924782301131617237383200968154999807373
Composite cofactor 54019151591617944678416557870748955374427643465461438529246220182165127029198834973801919961540643886099497963641176485699473275365880622769981567347808644949842509663034780529281 has 179 digits

54019151591617944678416557870748955374427643465461438529246220182165127029198834973801919961540643886099497963641176485699473275365880622769981567347808644949842509663034780529281<179>

11425894785742256113105400515299410378431<41>
4727783040591749927889896421858499277953249411892600330387326944424218596190885665438530672916322245449333949341792515648419050593756700351<139>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=205807275
Step 1 took 252828ms
Step 2 took 68568ms
********** Factor found in step 2: 11425894785742256113105400515299410378431
Found probable prime factor of 41 digits: 11425894785742256113105400515299410378431
Probable prime cofactor 4727783040591749927889896421858499277953249411892600330387326944424218596190885665438530672916322245449333949341792515648419050593756700351 has 139 digits

9461373274495907018923556469864941501105751830834887083901668733206298715521923298058893990787960356298815644596988319010300512116147211120291509843896813498821475818050056458739853772986724791102012827090309941781898990630444224279090053<238>

336650370040590416044894044448841510502117462123398162576021149887737407215035767384212883953182239150926544263340286194037028792538178900128888998815540330714330862731842178306524971212958153671962383099876607333756550941384361284932628703497591232250281<255>

106915906626295314585131969266210428494216472138485444137207142196603917678301331296018526879851540059699239621482000704108362140028622948739704544008500874833471045865013159053123031860625187283339011846602154573906259899826552576460072097613125138018453<255>

4161004581964783852097915466707196619566521719<46>
25694734173018073389872974539520619647467161247658722197180458373857868888955994108113824173738514518193698871863246668431514885374224826641989426597400731653381160057203651176464894888883601627771986970703187<209>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3352156331
Step 1 took 59073ms
Step 2 took 21588ms
********** Factor found in step 2: 4161004581964783852097915466707196619566521719
Found prime factor of 46 digits: 4161004581964783852097915466707196619566521719
Prime cofactor 25694734173018073389872974539520619647467161247658722197180458373857868888955994108113824173738514518193698871863246668431514885374224826641989426597400731653381160057203651176464894888883601627771986970703187 has 209 digits

3570612796814153744259041676511772787649635940191455472484521367624961527916112209719956595900809083017352967265125846148964230701844247087938304777221357057711864159701686098573514109144997598688872103794923819859441170979608969<229>

1131312729819212445358746929235325504153999808881<49>

3156167788711039785451368215824564310606434898366005433935963945340661204246248552430283807190537406719446978318648707564235151623467418567739045568672332651991812928562649090749849<181>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:659136445
Step 1 took 145669ms
Step 2 took 45023ms
********** Factor found in step 2: 1131312729819212445358746929235325504153999808881
Found prime factor of 49 digits: 1131312729819212445358746929235325504153999808881
Composite cofactor 3156167788711039785451368215824564310606434898366005433935963945340661204246248552430283807190537406719446978318648707564235151623467418567739045568672332651991812928562649090749849 has 181 digits

31009041398867369847872394569264689777172377162900501250573820678882382719586168446076851593868868125423061286614131464125682129347184971118462541521224922200069178923763366534870496095272823219654301404652040237386356122528246490911<233>

1577819712877264221305524326800092928632128791<46>

19653095436563041483584129738634975441184817034111094614848532495665609715453974764845445657107422518270794521989717098136479517607127081257912923811483971482877032936741577930942303339321<188>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3314172765
Step 1 took 244160ms
Step 2 took 57992ms
********** Factor found in step 2: 1577819712877264221305524326800092928632128791
Found probable prime factor of 46 digits: 1577819712877264221305524326800092928632128791
Composite cofactor 19653095436563041483584129738634975441184817034111094614848532495665609715453974764845445657107422518270794521989717098136479517607127081257912923811483971482877032936741577930942303339321 has 188 digits

12135426246010362871632959753320590981995412428795019313701364720897927057790679454312213120114418068965136194989216944313244357112964628486553495743944497333808764664693<170>

1338811710611796177282754259058216733815797840307145640349615687551724557599<76>
9064326334929385006857882625234119039160879256122884066400676620356422767807754097725254838507<94>

Sieving done by NFS@home, postprocessing done by Dmitry Domanov
---
Sat Feb 12 10:47:06 2022  
Sat Feb 12 10:47:06 2022  
Sat Feb 12 10:47:06 2022  Msieve v. 1.54 (SVN 1043M)
Sat Feb 12 10:47:06 2022  random seeds: 48cc32e3 f18e9729
Sat Feb 12 10:47:06 2022  factoring 12135426246010362871632959753320590981995412428795019313701364720897927057790679454312213120114418068965136194989216944313244357112964628486553495743944497333808764664693 (170 digits)
Sat Feb 12 10:47:07 2022  searching for 15-digit factors
Sat Feb 12 10:47:08 2022  commencing number field sieve (170-digit input)
Sat Feb 12 10:47:08 2022  R0: -665620307823595512707032010356075
Sat Feb 12 10:47:08 2022  R1: 657937666286920481
Sat Feb 12 10:47:08 2022  A0: -756051435369753265341965404486779380446032
Sat Feb 12 10:47:08 2022  A1: 197976528184885809048788309757196582
Sat Feb 12 10:47:08 2022  A2: 2818388000991157931867512691
Sat Feb 12 10:47:08 2022  A3: -369671129020493663532
Sat Feb 12 10:47:08 2022  A4: 2203875092796
Sat Feb 12 10:47:08 2022  A5: 92880
Sat Feb 12 10:47:08 2022  skew 36740336.44, size 1.767e-16, alpha -7.790, combined = 4.083e-13 rroots = 3
Sat Feb 12 10:47:08 2022  
Sat Feb 12 10:47:08 2022  commencing relation filtering
Sat Feb 12 10:47:08 2022  setting target matrix density to 140.0
Sat Feb 12 10:47:08 2022  estimated available RAM is 63624.2 MB
Sat Feb 12 10:47:08 2022  commencing duplicate removal, pass 1
Sat Feb 12 11:23:14 2022  skipped 2 relations with composite factors
Sat Feb 12 11:23:14 2022  found 10787748 hash collisions in 222687489 relations
Sat Feb 12 11:23:48 2022  added 121721 free relations
Sat Feb 12 11:23:48 2022  commencing duplicate removal, pass 2
Sat Feb 12 11:24:54 2022  found 13 duplicates and 222809197 unique relations
Sat Feb 12 11:24:54 2022  memory use: 756.8 MB
Sat Feb 12 11:24:54 2022  reading ideals above 720000
Sat Feb 12 11:24:54 2022  commencing singleton removal, initial pass
Sat Feb 12 11:58:48 2022  memory use: 5512.0 MB
Sat Feb 12 11:58:48 2022  reading all ideals from disk
Sat Feb 12 12:04:54 2022  memory use: 8761.4 MB
Sat Feb 12 12:05:28 2022  keeping 178691459 ideals with weight <= 200, target excess is 1196590
Sat Feb 12 12:06:00 2022  commencing in-memory singleton removal
Sat Feb 12 12:06:21 2022  begin with 222809197 relations and 178691459 unique ideals
Sat Feb 12 12:10:04 2022  reduce to 163095003 relations and 114131443 ideals in 12 passes
Sat Feb 12 12:10:04 2022  max relations containing the same ideal: 173
Sat Feb 12 12:11:30 2022  removing 9015106 relations and 7015106 ideals in 2000000 cliques
Sat Feb 12 12:11:37 2022  commencing in-memory singleton removal
Sat Feb 12 12:11:53 2022  begin with 154079897 relations and 114131443 unique ideals
Sat Feb 12 12:13:57 2022  reduce to 153690195 relations and 106720445 ideals in 7 passes
Sat Feb 12 12:13:57 2022  max relations containing the same ideal: 166
Sat Feb 12 12:15:12 2022  removing 6935291 relations and 4935291 ideals in 2000000 cliques
Sat Feb 12 12:15:19 2022  commencing in-memory singleton removal
Sat Feb 12 12:15:33 2022  begin with 146754904 relations and 106720445 unique ideals
Sat Feb 12 12:17:36 2022  reduce to 146492078 relations and 101518706 ideals in 6 passes
Sat Feb 12 12:17:36 2022  max relations containing the same ideal: 160
Sat Feb 12 12:18:54 2022  removing 6358938 relations and 4358938 ideals in 2000000 cliques
Sat Feb 12 12:19:02 2022  commencing in-memory singleton removal
Sat Feb 12 12:19:17 2022  begin with 140133140 relations and 101518706 unique ideals
Sat Feb 12 12:20:54 2022  reduce to 139909335 relations and 96932973 ideals in 6 passes
Sat Feb 12 12:20:54 2022  max relations containing the same ideal: 159
Sat Feb 12 12:22:05 2022  removing 6057080 relations and 4057080 ideals in 2000000 cliques
Sat Feb 12 12:22:11 2022  commencing in-memory singleton removal
Sat Feb 12 12:22:25 2022  begin with 133852255 relations and 96932973 unique ideals
Sat Feb 12 12:23:58 2022  reduce to 133650677 relations and 92671518 ideals in 6 passes
Sat Feb 12 12:23:58 2022  max relations containing the same ideal: 156
Sat Feb 12 12:25:01 2022  removing 5857392 relations and 3857392 ideals in 2000000 cliques
Sat Feb 12 12:25:06 2022  commencing in-memory singleton removal
Sat Feb 12 12:25:18 2022  begin with 127793285 relations and 92671518 unique ideals
Sat Feb 12 12:26:49 2022  reduce to 127602213 relations and 88620221 ideals in 6 passes
Sat Feb 12 12:26:49 2022  max relations containing the same ideal: 151
Sat Feb 12 12:27:49 2022  removing 5718661 relations and 3718661 ideals in 2000000 cliques
Sat Feb 12 12:27:54 2022  commencing in-memory singleton removal
Sat Feb 12 12:28:05 2022  begin with 121883552 relations and 88620221 unique ideals
Sat Feb 12 12:29:32 2022  reduce to 121701212 relations and 84716398 ideals in 6 passes
Sat Feb 12 12:29:32 2022  max relations containing the same ideal: 146
Sat Feb 12 12:30:39 2022  removing 5609742 relations and 3609742 ideals in 2000000 cliques
Sat Feb 12 12:30:45 2022  commencing in-memory singleton removal
Sat Feb 12 12:30:56 2022  begin with 116091470 relations and 84716398 unique ideals
Sat Feb 12 12:32:26 2022  reduce to 115914552 relations and 80926950 ideals in 6 passes
Sat Feb 12 12:32:26 2022  max relations containing the same ideal: 143
Sat Feb 12 12:33:33 2022  removing 5524973 relations and 3524973 ideals in 2000000 cliques
Sat Feb 12 12:33:38 2022  commencing in-memory singleton removal
Sat Feb 12 12:33:48 2022  begin with 110389579 relations and 80926950 unique ideals
Sat Feb 12 12:35:05 2022  reduce to 110213324 relations and 77222836 ideals in 6 passes
Sat Feb 12 12:35:05 2022  max relations containing the same ideal: 137
Sat Feb 12 12:36:00 2022  removing 5457801 relations and 3457801 ideals in 2000000 cliques
Sat Feb 12 12:36:05 2022  commencing in-memory singleton removal
Sat Feb 12 12:36:14 2022  begin with 104755523 relations and 77222836 unique ideals
Sat Feb 12 12:37:27 2022  reduce to 104578693 relations and 73585048 ideals in 6 passes
Sat Feb 12 12:37:27 2022  max relations containing the same ideal: 131
Sat Feb 12 12:38:19 2022  removing 5403664 relations and 3403664 ideals in 2000000 cliques
Sat Feb 12 12:38:24 2022  commencing in-memory singleton removal
Sat Feb 12 12:38:33 2022  begin with 99175029 relations and 73585048 unique ideals
Sat Feb 12 12:39:46 2022  reduce to 98996474 relations and 69999620 ideals in 6 passes
Sat Feb 12 12:39:46 2022  max relations containing the same ideal: 126
Sat Feb 12 12:40:35 2022  removing 5357397 relations and 3357397 ideals in 2000000 cliques
Sat Feb 12 12:40:40 2022  commencing in-memory singleton removal
Sat Feb 12 12:40:48 2022  begin with 93639077 relations and 69999620 unique ideals
Sat Feb 12 12:42:02 2022  reduce to 93458113 relations and 66457762 ideals in 7 passes
Sat Feb 12 12:42:02 2022  max relations containing the same ideal: 121
Sat Feb 12 12:42:50 2022  removing 5320039 relations and 3320039 ideals in 2000000 cliques
Sat Feb 12 12:42:54 2022  commencing in-memory singleton removal
Sat Feb 12 12:43:02 2022  begin with 88138074 relations and 66457762 unique ideals
Sat Feb 12 12:44:05 2022  reduce to 87952825 relations and 62948725 ideals in 6 passes
Sat Feb 12 12:44:05 2022  max relations containing the same ideal: 115
Sat Feb 12 12:44:57 2022  removing 5292520 relations and 3292520 ideals in 2000000 cliques
Sat Feb 12 12:45:02 2022  commencing in-memory singleton removal
Sat Feb 12 12:45:10 2022  begin with 82660305 relations and 62948725 unique ideals
Sat Feb 12 12:46:09 2022  reduce to 82468916 relations and 59460668 ideals in 6 passes
Sat Feb 12 12:46:09 2022  max relations containing the same ideal: 111
Sat Feb 12 12:46:58 2022  removing 5274587 relations and 3274587 ideals in 2000000 cliques
Sat Feb 12 12:47:04 2022  commencing in-memory singleton removal
Sat Feb 12 12:47:12 2022  begin with 77194329 relations and 59460668 unique ideals
Sat Feb 12 12:48:14 2022  reduce to 76995414 relations and 55982690 ideals in 7 passes
Sat Feb 12 12:48:14 2022  max relations containing the same ideal: 106
Sat Feb 12 12:48:52 2022  removing 5258798 relations and 3258798 ideals in 2000000 cliques
Sat Feb 12 12:48:56 2022  commencing in-memory singleton removal
Sat Feb 12 12:49:02 2022  begin with 71736616 relations and 55982690 unique ideals
Sat Feb 12 12:49:47 2022  reduce to 71526132 relations and 52508378 ideals in 6 passes
Sat Feb 12 12:49:47 2022  max relations containing the same ideal: 102
Sat Feb 12 12:50:22 2022  removing 5253651 relations and 3253651 ideals in 2000000 cliques
Sat Feb 12 12:50:26 2022  commencing in-memory singleton removal
Sat Feb 12 12:50:31 2022  begin with 66272481 relations and 52508378 unique ideals
Sat Feb 12 12:51:10 2022  reduce to 66049491 relations and 49026234 ideals in 6 passes
Sat Feb 12 12:51:10 2022  max relations containing the same ideal: 97
Sat Feb 12 12:51:42 2022  removing 5252876 relations and 3252876 ideals in 2000000 cliques
Sat Feb 12 12:51:46 2022  commencing in-memory singleton removal
Sat Feb 12 12:51:50 2022  begin with 60796615 relations and 49026234 unique ideals
Sat Feb 12 12:52:27 2022  reduce to 60557380 relations and 45527701 ideals in 6 passes
Sat Feb 12 12:52:27 2022  max relations containing the same ideal: 94
Sat Feb 12 12:52:58 2022  removing 5264137 relations and 3264137 ideals in 2000000 cliques
Sat Feb 12 12:53:01 2022  commencing in-memory singleton removal
Sat Feb 12 12:53:06 2022  begin with 55293243 relations and 45527701 unique ideals
Sat Feb 12 12:53:45 2022  reduce to 55032175 relations and 41995074 ideals in 7 passes
Sat Feb 12 12:53:45 2022  max relations containing the same ideal: 88
Sat Feb 12 12:54:12 2022  removing 5280595 relations and 3280595 ideals in 2000000 cliques
Sat Feb 12 12:54:15 2022  commencing in-memory singleton removal
Sat Feb 12 12:54:20 2022  begin with 49751580 relations and 41995074 unique ideals
Sat Feb 12 12:54:50 2022  reduce to 49462771 relations and 38416553 ideals in 6 passes
Sat Feb 12 12:54:50 2022  max relations containing the same ideal: 80
Sat Feb 12 12:55:15 2022  removing 5310585 relations and 3310585 ideals in 2000000 cliques
Sat Feb 12 12:55:18 2022  commencing in-memory singleton removal
Sat Feb 12 12:55:21 2022  begin with 44152186 relations and 38416553 unique ideals
Sat Feb 12 12:55:46 2022  reduce to 43829007 relations and 34771682 ideals in 6 passes
Sat Feb 12 12:55:46 2022  max relations containing the same ideal: 75
Sat Feb 12 12:56:08 2022  removing 5353013 relations and 3353013 ideals in 2000000 cliques
Sat Feb 12 12:56:11 2022  commencing in-memory singleton removal
Sat Feb 12 12:56:14 2022  begin with 38475994 relations and 34771682 unique ideals
Sat Feb 12 12:56:38 2022  reduce to 38103943 relations and 31032575 ideals in 7 passes
Sat Feb 12 12:56:38 2022  max relations containing the same ideal: 67
Sat Feb 12 12:56:56 2022  removing 5410078 relations and 3410078 ideals in 2000000 cliques
Sat Feb 12 12:56:59 2022  commencing in-memory singleton removal
Sat Feb 12 12:57:01 2022  begin with 32693865 relations and 31032575 unique ideals
Sat Feb 12 12:57:21 2022  reduce to 32258303 relations and 27168012 ideals in 7 passes
Sat Feb 12 12:57:21 2022  max relations containing the same ideal: 63
Sat Feb 12 12:57:38 2022  removing 5479777 relations and 3479777 ideals in 2000000 cliques
Sat Feb 12 12:57:40 2022  commencing in-memory singleton removal
Sat Feb 12 12:57:43 2022  begin with 26778526 relations and 27168012 unique ideals
Sat Feb 12 12:58:03 2022  reduce to 26248586 relations and 23131447 ideals in 7 passes
Sat Feb 12 12:58:03 2022  max relations containing the same ideal: 53
Sat Feb 12 12:58:19 2022  removing 4905358 relations and 3176264 ideals in 1729094 cliques
Sat Feb 12 12:58:22 2022  commencing in-memory singleton removal
Sat Feb 12 12:58:23 2022  begin with 21343228 relations and 23131447 unique ideals
Sat Feb 12 12:58:40 2022  reduce to 20792306 relations and 19374232 ideals in 7 passes
Sat Feb 12 12:58:40 2022  max relations containing the same ideal: 47
Sat Feb 12 12:58:52 2022  removing 166050 relations and 136021 ideals in 30029 cliques
Sat Feb 12 12:58:54 2022  commencing in-memory singleton removal
Sat Feb 12 12:58:55 2022  begin with 20626256 relations and 19374232 unique ideals
Sat Feb 12 12:59:04 2022  reduce to 20625104 relations and 19237055 ideals in 4 passes
Sat Feb 12 12:59:04 2022  max relations containing the same ideal: 47
Sat Feb 12 12:59:07 2022  relations with 0 large ideals: 3703
Sat Feb 12 12:59:07 2022  relations with 1 large ideals: 45760
Sat Feb 12 12:59:07 2022  relations with 2 large ideals: 500006
Sat Feb 12 12:59:07 2022  relations with 3 large ideals: 2159607
Sat Feb 12 12:59:07 2022  relations with 4 large ideals: 4724510
Sat Feb 12 12:59:07 2022  relations with 5 large ideals: 5868278
Sat Feb 12 12:59:07 2022  relations with 6 large ideals: 4464835
Sat Feb 12 12:59:07 2022  relations with 7+ large ideals: 2858405
Sat Feb 12 12:59:07 2022  commencing 2-way merge
Sat Feb 12 12:59:23 2022  reduce to 13735613 relation sets and 12347564 unique ideals
Sat Feb 12 12:59:23 2022  commencing full merge
Sat Feb 12 13:05:01 2022  memory use: 1614.6 MB
Sat Feb 12 13:05:02 2022  found 6056495 cycles, need 5963764
Sat Feb 12 13:05:05 2022  weight of 5963764 cycles is about 835847023 (140.15/cycle)
Sat Feb 12 13:05:05 2022  distribution of cycle lengths:
Sat Feb 12 13:05:05 2022  1 relations: 89449
Sat Feb 12 13:05:05 2022  2 relations: 239927
Sat Feb 12 13:05:05 2022  3 relations: 328238
Sat Feb 12 13:05:05 2022  4 relations: 372349
Sat Feb 12 13:05:05 2022  5 relations: 412226
Sat Feb 12 13:05:05 2022  6 relations: 429913
Sat Feb 12 13:05:05 2022  7 relations: 437828
Sat Feb 12 13:05:05 2022  8 relations: 432115
Sat Feb 12 13:05:05 2022  9 relations: 415232
Sat Feb 12 13:05:05 2022  10+ relations: 2806487
Sat Feb 12 13:05:05 2022  heaviest cycle: 28 relations
Sat Feb 12 13:05:07 2022  commencing cycle optimization
Sat Feb 12 13:05:22 2022  start with 58869063 relations
Sat Feb 12 13:08:24 2022  pruned 3513978 relations
Sat Feb 12 13:08:24 2022  memory use: 1448.8 MB
Sat Feb 12 13:08:25 2022  distribution of cycle lengths:
Sat Feb 12 13:08:25 2022  1 relations: 89449
Sat Feb 12 13:08:25 2022  2 relations: 247737
Sat Feb 12 13:08:25 2022  3 relations: 345591
Sat Feb 12 13:08:25 2022  4 relations: 393442
Sat Feb 12 13:08:25 2022  5 relations: 440542
Sat Feb 12 13:08:25 2022  6 relations: 461202
Sat Feb 12 13:08:25 2022  7 relations: 473384
Sat Feb 12 13:08:25 2022  8 relations: 465485
Sat Feb 12 13:08:25 2022  9 relations: 446442
Sat Feb 12 13:08:25 2022  10+ relations: 2600490
Sat Feb 12 13:08:25 2022  heaviest cycle: 28 relations
Sat Feb 12 13:08:41 2022  RelProcTime: 8493
Sat Feb 12 13:08:41 2022  elapsed time 02:21:35
Sat Feb 12 13:12:59 2022  
Sat Feb 12 13:12:59 2022  
Sat Feb 12 13:12:59 2022  Msieve v. 1.54 (SVN 1043M)
Sat Feb 12 13:12:59 2022  random seeds: 9af57ab5 97bffe3a
Sat Feb 12 13:12:59 2022  factoring 12135426246010362871632959753320590981995412428795019313701364720897927057790679454312213120114418068965136194989216944313244357112964628486553495743944497333808764664693 (170 digits)
Sat Feb 12 13:12:59 2022  searching for 15-digit factors
Sat Feb 12 13:13:00 2022  commencing number field sieve (170-digit input)
Sat Feb 12 13:13:00 2022  R0: -665620307823595512707032010356075
Sat Feb 12 13:13:00 2022  R1: 657937666286920481
Sat Feb 12 13:13:00 2022  A0: -756051435369753265341965404486779380446032
Sat Feb 12 13:13:00 2022  A1: 197976528184885809048788309757196582
Sat Feb 12 13:13:00 2022  A2: 2818388000991157931867512691
Sat Feb 12 13:13:00 2022  A3: -369671129020493663532
Sat Feb 12 13:13:00 2022  A4: 2203875092796
Sat Feb 12 13:13:00 2022  A5: 92880
Sat Feb 12 13:13:00 2022  skew 36740336.44, size 1.767e-16, alpha -7.790, combined = 4.083e-13 rroots = 3
Sat Feb 12 13:13:00 2022  
Sat Feb 12 13:13:00 2022  commencing linear algebra
Sat Feb 12 13:13:01 2022  read 5963764 cycles
Sat Feb 12 13:13:19 2022  cycles contain 20001294 unique relations
Sat Feb 12 13:46:53 2022  read 20001294 relations
Sat Feb 12 13:47:31 2022  using 20 quadratic characters above 4294917295
Sat Feb 12 13:49:14 2022  building initial matrix
Sat Feb 12 13:55:14 2022  memory use: 2848.3 MB
Sat Feb 12 13:55:18 2022  read 5963764 cycles
Sat Feb 12 13:55:19 2022  matrix is 5963584 x 5963764 (3177.8 MB) with weight 976053732 (163.66/col)
Sat Feb 12 13:55:19 2022  sparse part has weight 761487575 (127.69/col)
Sat Feb 12 13:56:51 2022  filtering completed in 2 passes
Sat Feb 12 13:56:52 2022  matrix is 5963428 x 5963608 (3177.8 MB) with weight 976042498 (163.67/col)
Sat Feb 12 13:56:52 2022  sparse part has weight 761482292 (127.69/col)
Sat Feb 12 13:57:15 2022  matrix starts at (0, 0)
Sat Feb 12 13:57:16 2022  matrix is 5963428 x 5963608 (3177.8 MB) with weight 976042498 (163.67/col)
Sat Feb 12 13:57:16 2022  sparse part has weight 761482292 (127.69/col)
Sat Feb 12 13:57:16 2022  saving the first 48 matrix rows for later
Sat Feb 12 13:57:17 2022  matrix includes 64 packed rows
Sat Feb 12 13:57:18 2022  matrix is 5963380 x 5963608 (3128.7 MB) with weight 848184468 (142.23/col)
Sat Feb 12 13:57:18 2022  sparse part has weight 760539797 (127.53/col)
Sat Feb 12 13:57:18 2022  using block size 8192 and superblock size 3244032 for processor cache size 33792 kB
Sat Feb 12 13:57:42 2022  commencing Lanczos iteration
Sat Feb 12 13:57:42 2022  memory use: 2897.2 MB
Sat Feb 12 13:59:18 2022  linear algebra at 0.0%, ETA 100h46m
Sat Feb 12 13:59:48 2022  checkpointing every 60000 dimensions
Sat Feb 12 14:02:08 2022  lanczos halted after 67 iterations (dim = 4237)
Sat Feb 12 14:02:08 2022  BLanczosTime: 2948
Sat Feb 12 14:02:08 2022  elapsed time 00:49:09
Sat Feb 12 14:11:41 2022  
Sat Feb 12 14:11:41 2022  
Sat Feb 12 14:11:41 2022  Msieve v. 1.54 (SVN unknown)
Sat Feb 12 14:11:41 2022  random seeds: e095cdec e3f003d5
Sat Feb 12 14:11:41 2022  factoring 12135426246010362871632959753320590981995412428795019313701364720897927057790679454312213120114418068965136194989216944313244357112964628486553495743944497333808764664693 (170 digits)
Sat Feb 12 14:11:41 2022  no P-1/P+1/ECM available, skipping
Sat Feb 12 14:11:41 2022  commencing number field sieve (170-digit input)
Sat Feb 12 14:11:41 2022  R0: -665620307823595512707032010356075
Sat Feb 12 14:11:41 2022  R1: 657937666286920481
Sat Feb 12 14:11:41 2022  A0: -756051435369753265341965404486779380446032
Sat Feb 12 14:11:41 2022  A1: 197976528184885809048788309757196582
Sat Feb 12 14:11:41 2022  A2: 2818388000991157931867512691
Sat Feb 12 14:11:41 2022  A3: -369671129020493663532
Sat Feb 12 14:11:41 2022  A4: 2203875092796
Sat Feb 12 14:11:41 2022  A5: 92880
Sat Feb 12 14:11:41 2022  skew 36740336.44, size 1.767e-16, alpha -7.790, combined = 4.083e-13 rroots = 3
Sat Feb 12 14:11:41 2022  
Sat Feb 12 14:11:41 2022  commencing linear algebra
Sat Feb 12 14:11:41 2022  using VBITS=128
Sat Feb 12 14:11:41 2022  skipping matrix build
Sat Feb 12 14:11:44 2022  matrix starts at (0, 0)
Sat Feb 12 14:11:45 2022  matrix is 5963428 x 5963608 (3177.8 MB) with weight 976042498 (163.67/col)
Sat Feb 12 14:11:45 2022  sparse part has weight 761482292 (127.69/col)
Sat Feb 12 14:11:45 2022  saving the first 112 matrix rows for later
Sat Feb 12 14:11:48 2022  matrix includes 128 packed rows
Sat Feb 12 14:11:49 2022  matrix is 5963316 x 5963608 (2954.9 MB) with weight 760539797 (127.53/col)
Sat Feb 12 14:11:49 2022  sparse part has weight 703043429 (117.89/col)
Sat Feb 12 14:11:49 2022  using GPU 0 (Tesla P100-PCIE-16GB)
Sat Feb 12 14:11:49 2022  selected card has CUDA arch 6.0
Sat Feb 12 14:12:53 2022  commencing Lanczos iteration
Sat Feb 12 14:12:53 2022  memory use: 6182.8 MB
Sat Feb 12 14:12:57 2022  linear algebra at 0.0%, ETA 3h14m
Sat Feb 12 14:12:58 2022  checkpointing every 1840000 dimensions
Sat Feb 12 17:40:39 2022  lanczos halted after 46869 iterations (dim = 5963314)
Sat Feb 12 17:40:55 2022  recovered 27 nontrivial dependencies
Sat Feb 12 17:40:55 2022  BLanczosTime: 12554
Sat Feb 12 17:40:55 2022  elapsed time 03:29:14
Sat Feb 12 17:46:01 2022  
Sat Feb 12 17:46:01 2022  
Sat Feb 12 17:46:01 2022  Msieve v. 1.54 (SVN 1043M)
Sat Feb 12 17:46:01 2022  random seeds: f54fa017 8c2f0085
Sat Feb 12 17:46:01 2022  factoring 12135426246010362871632959753320590981995412428795019313701364720897927057790679454312213120114418068965136194989216944313244357112964628486553495743944497333808764664693 (170 digits)
Sat Feb 12 17:46:02 2022  searching for 15-digit factors
Sat Feb 12 17:46:03 2022  commencing number field sieve (170-digit input)
Sat Feb 12 17:46:03 2022  R0: -665620307823595512707032010356075
Sat Feb 12 17:46:03 2022  R1: 657937666286920481
Sat Feb 12 17:46:03 2022  A0: -756051435369753265341965404486779380446032
Sat Feb 12 17:46:03 2022  A1: 197976528184885809048788309757196582
Sat Feb 12 17:46:03 2022  A2: 2818388000991157931867512691
Sat Feb 12 17:46:03 2022  A3: -369671129020493663532
Sat Feb 12 17:46:03 2022  A4: 2203875092796
Sat Feb 12 17:46:03 2022  A5: 92880
Sat Feb 12 17:46:03 2022  skew 36740336.44, size 1.767e-16, alpha -7.790, combined = 4.083e-13 rroots = 3
Sat Feb 12 17:46:03 2022  
Sat Feb 12 17:46:03 2022  commencing square root phase
Sat Feb 12 17:46:03 2022  reading relations for dependency 1
Sat Feb 12 17:46:04 2022  read 2980987 cycles
Sat Feb 12 17:46:13 2022  cycles contain 9995564 unique relations
Sat Feb 12 17:47:54 2022  read 9995564 relations
Sat Feb 12 17:48:58 2022  multiplying 9995564 relations
Sat Feb 12 18:03:42 2022  multiply complete, coefficients have about 549.72 million bits
Sat Feb 12 18:03:46 2022  initial square root is modulo 85487
Sat Feb 12 18:21:38 2022  GCD is 1, no factor found
Sat Feb 12 18:21:38 2022  reading relations for dependency 2
Sat Feb 12 18:21:38 2022  read 2982707 cycles
Sat Feb 12 18:21:48 2022  cycles contain 10002958 unique relations
Sat Feb 12 18:23:26 2022  read 10002958 relations
Sat Feb 12 18:24:31 2022  multiplying 10002958 relations
Sat Feb 12 18:39:01 2022  multiply complete, coefficients have about 550.14 million bits
Sat Feb 12 18:39:04 2022  initial square root is modulo 86263
Sat Feb 12 18:56:35 2022  GCD is N, no factor found
Sat Feb 12 18:56:35 2022  reading relations for dependency 3
Sat Feb 12 18:56:35 2022  read 2980712 cycles
Sat Feb 12 18:56:45 2022  cycles contain 9999754 unique relations
Sat Feb 12 18:58:14 2022  read 9999754 relations
Sat Feb 12 18:59:20 2022  multiplying 9999754 relations
Sat Feb 12 19:14:12 2022  multiply complete, coefficients have about 549.95 million bits
Sat Feb 12 19:14:17 2022  initial square root is modulo 85931
Sat Feb 12 19:32:07 2022  sqrtTime: 6364
Sat Feb 12 19:32:07 2022  p76 factor: 1338811710611796177282754259058216733815797840307145640349615687551724557599
Sat Feb 12 19:32:07 2022  p94 factor: 9064326334929385006857882625234119039160879256122884066400676620356422767807754097725254838507
Sat Feb 12 19:32:07 2022  elapsed time 01:46:06

1633083410682580544737018767404759232451440071869722099770510739866452107623763599206571664206460034265041488874282804000699054209237245380672402583831618913888978975779295676916519926136604006370174028612035543170326718588110589557990605922449606027<250>

7477100948945072336033689291489006292293<40>
218411309655112878663930506364842936947745644075109285739552317037400957862381680037237583054870658097078226016687150782167510484918080935333524969181006433575672604387320682724858520388369638115991741442436239<210>

 prp40 = 7477100948945072336033689291489006292293 (curve 234 stg2 B1=3000000 sigma=1507556357 thread=1)

7562168583044386475327364272874874165368977132958840516657007854076705673288335106757958499512707748709281853253858122145562947509324281514330969399376145188688142882724653603698268663567114578855899349294102826357212748151022787144032818841935301919279<253>

1332994263119139109866692956578011122504131466096732727686029686924806174472953111137879812231707700582719802320759334469153261369053662214030564415886810614812863383757513871029486159547769998532074072695739870032515266592867751626062573253475551307384450888519567866111227<274>

508279052116239963203576428286820940730244391607539101961284270571531224382320981329332422998347952866140520820836731396163822991279357995449166542553396915096764959494880877839489526230304800757523262543545124712148631898176010569118860053558827316205294575696525224495089<273>

324822935019343021628777653087524653694741287628493616454502026372960873993620380005034267690147849990265245483882362455390143500868106190409629532318133041656982341019140885598963464703617989637475658807788032117286725878947<225>

137230003131927092961844574113293328258617360903333531119860571159134099132787251871998172885536398735290655850881143240490881911948985232258689683192526153244843828760673835069532913703979900815003568449308069957066495789237536595954064352727894736732858491907791<264>

55121284096662746237229765037083649961366215170107120121161987052182584191649316941626051931863833163135160058918226400785433712402626668247977564145181121156622083062162616666872051175397604775580766676526689375415959940473574907800868659507132388752991<254>

453594496762361027781775525775523184637<39>

121521060088039132581056166217843110082201048029438543739714317235559895355750255230739184769237501050655329056320779644198833200448982690050293877192416009842097226211981447868668989258390425718069997774756347592843<216>

Resuming ECM residue saved by @c75fa5a208b0 with GMP-ECM 7.0.5-dev on Wed Oct 20 23:36:45 2021 
Input number is 55121284096662746237229765037083649961366215170107120121161987052182584191649316941626051931863833163135160058918226400785433712402626668247977564145181121156622083062162616666872051175397
604775580766676526689375415959940473574907800868659507132388752991 (254 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1543212324
Step 1 took 0ms
Step 2 took 22110ms
********** Factor found in step 2: 453594496762361027781775525775523184637
Found prime factor of 39 digits: 453594496762361027781775525775523184637
Composite cofactor 121521060088039132581056166217843110082201048029438543739714317235559895355750255230739184769237501050655329056320779644198833200448982690050293877192416009842097226211981447868668989258390425718069997774756347592843 has 216 digits

729482619994606880289127372211225660204842952019113274316856099906738801936213022527789140539649176465518341904584065852719834116098927761009941458680673453629968941153704097179445929336566365793602876584323033411074666602300890961<231>

30786831635707701058991358060013981284293507541833416053244168653643064668652306679208122395747002097178295806457948860778972713019095359146414688675381995363687583196503431415029676430897485295896850292360211429728167644037493<227>

3044217808718720249708943738808226782643530462629034488849494924443708289331052923926299362240849651460245477316818410545197572561246205971623831393202061083625438898608376550323986609125712988086322277613272738363396845889<223>

147259931945468322511412768460394202942479<42>
20672410807890509475424815616268123446395200853042054400028071151961084731621567683466682258411859264642353441899705089832531861766890621958618910266041135995149689740662371927055791<182>

prp42 = 147259931945468322511412768460394202942479 (curve 105 stg2 B1=11000000 sigma=4093091596 thread=3)

228660836415893076225648797484322676326171130377557223811128422270488542744687066687108980581460262637278406026292288922233305811546320184557941844068242334075961605701660349307280290495516988832409<198>

3164037782231268063101177280224757507963296445347<49>

72268680766081837641596071885378914659898621296831726616152430254498635775387352179625990660237424049521551844928747286023718297125503383232156851347<149>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:838197410
Step 1 took 36578ms
Step 2 took 14532ms
********** Factor found in step 2: 3164037782231268063101177280224757507963296445347
Found prime factor of 49 digits: 3164037782231268063101177280224757507963296445347
Composite cofactor 72268680766081837641596071885378914659898621296831726616152430254498635775387352179625990660237424049521551844928747286023718297125503383232156851347 has 149 digits
 

GMP-ECM

72268680766081837641596071885378914659898621296831726616152430254498635775387352179625990660237424049521551844928747286023718297125503383232156851347<149>

143863326044800398528641133668383386632442600690702373443587449718179755877<75>
502342624440482405284714176165083531308218290221885303625301235375274537111<75>

72268680766081837641596071885378914659898621296831726616152430254498635775387352179625990660237424049521551844928747286023718297125503383232156851347=143863326044800398528641133668383386632442600690702373443587449718179755877*502342624440482405284714176165083531308218290221885303625301235375274537111

cado polynomial
n: 72268680766081837641596071885378914659898621296831726616152430254498635775387352179625990660237424049521551844928747286023718297125503383232156851347
skew: 823691.584
c0: -40729800583850090111512218876290520
c1: -710558385756376954480049099062
c2: -2961738813464618030241217
c3: 3405045534687791309
c4: 2372400454410
c5: 279000
Y0: -94934194580384435541764715009
Y1: 86438362717581819179
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=5.369e+14) = 1.016e-07
# f(x) = 279000*x^5+2372400454410*x^4+3405045534687791309*x^3-2961738813464618030241217*x^2-710558385756376954480049099062*x-40729800583850090111512218876290520
# g(x) = 86438362717581819179*x-94934194580384435541764715009

cado parameters (extracts)
tasks.lim0 = 16000000
tasks.lim1 = 32000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 64
tasks.sieve.mfb1 = 87
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 143863326044800398528641133668383386632442600690702373443587449718179755877 502342624440482405284714176165083531308218290221885303625301235375274537111
Info:Square Root: Total cpu/real time for sqrt: 9414.23/2245.23
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2425.04/2247.35
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1861.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1856.11/2072.61
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 22936.2
Info:Polynomial Selection (root optimized): Rootsieve time: 22932.1
Info:Filtering - Merging: Merged matrix has 4315578 rows and total weight 736018854 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1737.28/244.38
Info:Filtering - Merging: Total cpu/real time for replay: 181.78/145.093
Info:Quadratic Characters: Total cpu/real time for characters: 187.85/52.0601
Info:Linear Algebra: Total cpu/real time for bwc: 916695/139152
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 315333.09, WCT time 66454.72, iteration CPU time 0.43, COMM 0.01, cpu-wait 0.11, comm-wait 0.0 (135168 iterations)
Info:Linear Algebra: Lingen CPU time 371216.11, WCT time 35135.7
Info:Linear Algebra: Mksol: CPU time 172520.0,  WCT time 37510.64, iteration CPU time 0.43, COMM 0.01, cpu-wait 0.11, comm-wait 0.0 (67584 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 51362030
Info:Lattice Sieving: Average J: 3817.14 for 1843736 special-q, max bucket fill -bkmult 1.0,1s:1.081230
Info:Lattice Sieving: Total time: 4.20519e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 549.93/520.576
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 518.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 34.83/3.91251
Info:Square Root: Total cpu/real time for sqrt: 9414.23/2245.23
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 85397.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 86310/44.730/53.721/58.040/0.895
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 71219/43.540/48.059/54.580/1.120
Info:Polynomial Selection (size optimized): Total time: 146541
Info:Generate Free Relations: Total cpu/real time for freerel: 704.35/60.2017
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 8.82652e+06/438.133
143863326044800398528641133668383386632442600690702373443587449718179755877 502342624440482405284714176165083531308218290221885303625301235375274537111

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

13563922225687942758255141473923331839641000071861106322216121225368055645520345827975584054186595943822552451133617256675138304948196336057965449312951353352796731282977631929627935523425115135554516946653702878795780590436980854717548758978624476557168721130298801580412854789299139405120696209<296>

51184888334079550940844144339169045850930638397<47>

264998570225597434487339290929641644901786338258004618117759618408249747283641520844969798161511315702930699960732790896841177743621378982638002454196042194652327128332299294609560552508009540567509863794260689639014004868742755989718033503935156197<249>

Resuming ECM residue saved by @52614761f80e with GMP-ECM 7.0.5-dev on Wed Oct 13 01:17:15 2021 
Input number is 13563922225687942758255141473923331839641000071861106322216121225368055645520345827975584054186595943822552451133617256675138304948196336057965449312951353352796731282977631929627935523425
115135554516946653702878795780590436980854717548758978624476557168721130298801580412854789299139405120696209 (296 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2914167202
Step 1 took 0ms
Step 2 took 18724ms
********** Factor found in step 2: 51184888334079550940844144339169045850930638397
Found prime factor of 47 digits: 51184888334079550940844144339169045850930638397
Composite cofactor 264998570225597434487339290929641644901786338258004618117759618408249747283641520844969798161511315702930699960732790896841177743621378982638002454196042194652327128332299294609560552508009540567509863794260689639014004868742755989718033503935156197 has 249 digits

264998570225597434487339290929641644901786338258004618117759618408249747283641520844969798161511315702930699960732790896841177743621378982638002454196042194652327128332299294609560552508009540567509863794260689639014004868742755989718033503935156197<249>

50112827976195290211988861929173681107601182135529<50>

5288038630577337591804331093448692111598434183396095086331622839675599294933111517961538922903306989599055003566911153767883431211187170346054124706903238585817187048315285260966283887285813830088093<199>

Resuming ECM residue saved by @c839dddd0220 with GMP-ECM 7.0.5-dev on Fri Dec 24 03:21:50 2021 
Input number is 26499857022559743448733929092964164490178633825800461811775961840824974728364152084496979816151131570293069996073279089684117774362137898263800245419604219465232712833229929460956055250800
9540567509863794260689639014004868742755989718033503935156197 (249 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:1974190735
Step 1 took 0ms
Step 2 took 63879ms
********** Factor found in step 2: 50112827976195290211988861929173681107601182135529
Found prime factor of 50 digits: 50112827976195290211988861929173681107601182135529
Composite cofactor 5288038630577337591804331093448692111598434183396095086331622839675599294933111517961538922903306989599055003566911153767883431211187170346054124706903238585817187048315285260966283887285813830088093 has 199 digits

44582741929613858863776977108126796957455326272882774684281398988244713760599774356734723587000036394075044582741929613858863776977108126796957455326272882774684281398988244713760599774356734723587000036394075044582741929613858863776977108126796957455326272882774684281398988244713760599774356734723587<302>

19777856363153087706935645744159340893111<41>

2254174623933119138487219597384841546419378650415315411582342162611745493807587640415818619024866632640355877238010723661140067252429747782808738743709166329494054002619664748364222777974095562399787497161652530137973759550201479910225253521822866295800024733717<262>

Resuming ECM residue saved by @3b708a0b728d with GMP-ECM 7.0.5-dev on Mon Sep 27 18:16:28 2021 
Input number is 44582741929613858863776977108126796957455326272882774684281398988244713760599774356734723587000036394075044582741929613858863776977108126796957455326272882774684281398988244713760599774356
734723587000036394075044582741929613858863776977108126796957455326272882774684281398988244713760599774356734723587 (302 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2834420404
Step 1 took 0ms
Step 2 took 5544ms
********** Factor found in step 2: 19777856363153087706935645744159340893111
Found prime factor of 41 digits: 19777856363153087706935645744159340893111
Composite cofactor 2254174623933119138487219597384841546419378650415315411582342162611745493807587640415818619024866632640355877238010723661140067252429747782808738743709166329494054002619664748364222777974095562399787497161652530137973759550201479910225253521822866295800024733717 has 262 digits

18221032277257176855570429867618622638702959988100550349546333482076453964004164807377658783281273241112598542317417819425851554365610590510188903763200951955972036293321433883682879666815409787297337498140710992116614606574445931875650751152759184887698943923843522237096534285289305369626654767217016213<305>

373182557558808809294094160661485450145675047595322395046657883402339579793206580000061411220460178509130537400008353642979619308221176338851081630038590239072808179282852666326628177164612955603490221989301961340297346103249053113236011284564451535425638657240034910313290242966387906828865689<294>

676748079506225497014194101099984581026098717126993399991<57>
551434970943830883126962949294084249072113422014571616355844244420663974696622619171606295890475728234458438069790093177443788606948805993581403685628841353583472613926596524813288033802432764063227589005519265522043467623692457889970479<237>

Resuming ECM residue saved by @5199d0f27dfd with GMP-ECM 7.0.5-dev on Thu Jan  6 05:17:14 2022 
Input number is 37318255755880880929409416066148545014567504759532239504665788340233957979320658000006141122046017850913053740000835364297961930822117633885108163003859023907280817928285266632662817716461
2955603490221989301961340297346103249053113236011284564451535425638657240034910313290242966387906828865689 (294 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:2524143859
Step 1 took 0ms
Step 2 took 139595ms
********** Factor found in step 2: 676748079506225497014194101099984581026098717126993399991
Found prime factor of 57 digits: 676748079506225497014194101099984581026098717126993399991
Prime cofactor 551434970943830883126962949294084249072113422014571616355844244420663974696622619171606295890475728234458438069790093177443788606948805993581403685628841353583472613926596524813288033802432764063227589005519265522043467623692457889970479 has 237 digits

263679154449312475825492492769223779161777675298985237617165029077775876346473776335086866059064396987451281611645405120235412698970738889865774885597949348020873141019177930225409205868767875296397625018970570424397324539072306810394929854774676680877155958679631544452160023292197<282>

15761364247400336355848566591624307<35>
16729462647423014264529004384287758727562920300133130572427035590014689790900466491364084574488664679155581847656886125516228226655120620948423319963182751739842376034155742734115866297775104188629288129155118534184748176025027448260688538525515271<248>

Resuming ECM residue saved by @3b708a0b728d with GMP-ECM 7.0.5-dev on Mon Sep 27 19:27:11 2021 
Input number is 26367915444931247582549249276922377916177767529898523761716502907777587634647377633508686605906439698745128161164540512023541269897073888986577488559794934802087314101917793022540920586876
7875296397625018970570424397324539072306810394929854774676680877155958679631544452160023292197 (282 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2950083219
Step 1 took 0ms
Step 2 took 5106ms
********** Factor found in step 2: 15761364247400336355848566591624307
Found prime factor of 35 digits: 15761364247400336355848566591624307
Prime cofactor 16729462647423014264529004384287758727562920300133130572427035590014689790900466491364084574488664679155581847656886125516228226655120620948423319963182751739842376034155742734115866297775104188629288129155118534184748176025027448260688538525515271 has 248 digits

25287247129334938588423754233059366137271439152556434375124565495425371853097567013836830704109875380111189986679503918295067329204927045672752347167439207548455887408872760373030038297690597258148175465255931402489970200475850255817145418247042202309908486794411233515837072594690986846895172965905710440460289<311>

11315799974456086478852384168502710003<38>

2234684881883520030247297084407756075403992538675853342536021484373452555848443054857606328285431166941186539462416231178869141151783549413078694870236276986763804171133676531926932668083694119000433068582019221226456401139069079204614892938359140349979714820933770637576763<274>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1619053987
Step 1 took 18615ms
Step 2 took 6998ms
********** Factor found in step 2: 11315799974456086478852384168502710003
Found prime factor of 38 digits: 11315799974456086478852384168502710003
Composite cofactor 2234684881883520030247297084407756075403992538675853342536021484373452555848443054857606328285431166941186539462416231178869141151783549413078694870236276986763804171133676531926932668083694119000433068582019221226456401139069079204614892938359140349979714820933770637576763 has 274 digits

22626897272078182289361043856194046210951710503137236625939854605965411991471832417212774987845441569120800585241377132357980751221153478873888267799814854461364859340909254285743638462459201619001157707431667119790288131958498844181810721873861980408631836460302785240478511487534253<284>

464111110896471098644264662001016217688298167842295655437523341802195239466897140498801892877437750365079655583246651695936705123973815948967484513194100327345239707690127815865957564125148876845594264701320167088720694086701185629966754924923028249184373951<258>

205558306680811091798698445074744943672577197925482076599348083157044012483379771891359766856271970722053504998179592416304670098466791770291126104953507157800332809805691689690455535162493505825782505518149816834124531450815258507525539948394293453058545673805614366206603683937105064810688266767093226162447746029674867<321>

2924165061359724818164674653814662837800741425035149657574303630977530476961159926764584422435626594863495200788689090835308636670700820914583348252542830066623221928612179326511077214667134533076484222637573014611277012720714785294672290611878555247623071542980452254949000174256366921844825898792856921200316048533978798013<325>

4537037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<331>

192450241243698776918341077748125179467<39>
23575117431480949682359020699089313712252667142711624733633114567407188763131321473831998649716796766556038403940834352978503104939917833604177548611111767711782881261093464531034797363415972636162311454925104093362142377797520222577222024967979983604578354670595515930650448455024051556108711<293>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4051331237
Step 1 took 208292ms
Step 2 took 63605ms
********** Factor found in step 2: 192450241243698776918341077748125179467
Found prime factor of 39 digits: 192450241243698776918341077748125179467
Prime cofactor 23575117431480949682359020699089313712252667142711624733633114567407188763131321473831998649716796766556038403940834352978503104939917833604177548611111767711782881261093464531034797363415972636162311454925104093362142377797520222577222024967979983604578354670595515930650448455024051556108711 has 293 digits

15439885750682380252050231023316447633137920063369817983388861602448575290528358727638903242146415515022574942746288404036093542547733503569088224403147418949591912899069949123561756991510737484541267798070796153985997732156093639286477017803561060032020621290088489<266>

158904887188714717380660984465145023927677062939789573627232925861172735703739599270250477798792272998378357388951514286438440762576114868139688467656895230100384757206225199625683407061116874172705366339996406594616732879007009338976433238713685224472646297041838445893193201241003830955529776702797<300>

514509996754909622228104371634110976472129297976343637<54>

308847035414182931734275139499061076736108717337562583505601414530993661052396807887955765412867940300798965364427030173774797798807261739049381337457910314729491501284262375248598226877125971187241160676195135826316714058285549158191280559078681<246>

Resuming ECM residue saved by @52614761f80e with GMP-ECM 7.0.5-dev on Tue Oct 12 23:49:14 2021 
Input number is 15890488718871471738066098446514502392767706293978957362723292586117273570373959927025047779879227299837835738895151428643844076257611486813968846765689523010038475720622519962568340706111
6874172705366339996406594616732879007009338976433238713685224472646297041838445893193201241003830955529776702797 (300 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2655391504
Step 1 took 0ms
Step 2 took 19554ms
********** Factor found in step 2: 514509996754909622228104371634110976472129297976343637
Found prime factor of 54 digits: 514509996754909622228104371634110976472129297976343637
Composite cofactor 308847035414182931734275139499061076736108717337562583505601414530993661052396807887955765412867940300798965364427030173774797798807261739049381337457910314729491501284262375248598226877125971187241160676195135826316714058285549158191280559078681 has 246 digits

661780412407578156499307895034389140475079332077652921813290244694308552493352703274765332271451074973059107996065457651544018292184654203445941199425533972622372949169641085350849532689876732839026695719991498981656308215673042619237787679979838703058151118430453880440909220010047592414642259430104675645923<309>

5699694306844599073975994954400311<34>

116108053656994390025003438968399244280867031210397741651148087563913733522916175070056223478472141370946909581168743859745623282942603310186711031035351297401155355103440037346421294979361723225636148968539227251688577681291581402660260879587711832341914030531482652723847093<276>

p34:5699694306844599073975994954400311
c276:116108053656994390025003438968399244280867031210397741651148087563913733522916175070056223478472141370946909581168743859745623282942603310186711031035351297401155355103440037346421294979361723225636148968539227251688577681291581402660260879587711832341914030531482652723847093

http://factordb.com/index.php?id=1100000002694044949
factordb, September 21, 2021

116108053656994390025003438968399244280867031210397741651148087563913733522916175070056223478472141370946909581168743859745623282942603310186711031035351297401155355103440037346421294979361723225636148968539227251688577681291581402660260879587711832341914030531482652723847093<276>

1066021012556915619401759170350496541761584173<46>

108917227980808960396503517998187737894452450053273160206483048559932088278186809771796656780554683669371231456379143383427166920825522093964292503441179340813619894221219509457175035362392713209081987471581595257330628690190352041<231>

Resuming ECM residue saved by @828dfc9930ce with GMP-ECM 7.0.5-dev on Fri Dec  3 18:49:42 2021 
Input number is 116108053656994390025003438968399244280867031210397741651148087563913733522916175070056223478472141370946909581168743859745623282942603310186711031035351297401155355103440037346421294979361723225636148968539227251688577681291581402660260879587711832341914030531482652723847093 (276 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2797849540
Step 1 took 0ms
Step 2 took 16307ms
********** Factor found in step 2: 1066021012556915619401759170350496541761584173
Found prime factor of 46 digits: 1066021012556915619401759170350496541761584173
Composite cofactor 108917227980808960396503517998187737894452450053273160206483048559932088278186809771796656780554683669371231456379143383427166920825522093964292503441179340813619894221219509457175035362392713209081987471581595257330628690190352041 has 231 digits

1361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<340>

220305991234468512001115523713093260467479411363951924217304330325619054906978127261052606450116726418930322140171061776110634600939294684480251238859940358845021300169534592362217306971010793264082709268318756358271746846297252277623685258851547167910871279679185089461122957105779839500129726149131062400525963<312>

4489878348120610227613008405418788363261579579520143793393757932881999766159805216249034676155154068801063203192834960501898760390403169084420342044430370050275641878506457544626641875207771411313540483492091766516063318646849626460447470439190736996121111627905271996830329146567588796049200270199046386490927330311003793855573991545833961<340>

1328625650338418601602977455742566916767960428436686460113358971306407352094201373637116182468376654988160495350037816708640422946885543594903156716614740781609639362666813279373093416559150774041926997322668567191022714823080821700826343771775297354310081189560923772731428140644072554090791091262416762224289262907<316>

8536911505134924922331006644055388873048313751<46>

155633058810467290094140218845121544408092110756762506025416529393762159593507247666975074516518171371252598432715945703733188103545661944216939651799439163904750109289146983326522141969074975356341779534525312406509300927598725712365937890954741445804241195026199004157<270>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1007082230
Step 1 took 300516ms
Step 2 took 63510ms
********** Factor found in step 2: 8536911505134924922331006644055388873048313751
Found probable prime factor of 46 digits: 8536911505134924922331006644055388873048313751
Composite cofactor 155633058810467290094140218845121544408092110756762506025416529393762159593507247666975074516518171371252598432715945703733188103545661944216939651799439163904750109289146983326522141969074975356341779534525312406509300927598725712365937890954741445804241195026199004157 has 270 digits

642967135199972562382633556605959469653986747537112013574638340710999890876510094782975041689678060221236468364889026344869946253668067736615826409719013156848216322429376559808713189581641683192133181440225958012755542404615446142474302386724506123707515160743970150688385890114393118902146698534110297989730610061662856124039388552377657213<342>

1573709518455475568421868007465037401<37>
408567863166396559004614913329787215816960992968957050240547574967378059662329153697649708871701513792106919020394332229529008617047349482422317504346380208853396547185225936823119978215741813569244537271491465155183650228311467479928854611616362054068871307363991147325875830194240070281458659921096771013<306>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3835952895
Step 1 took 20823ms
Step 2 took 7919ms
********** Factor found in step 2: 1573709518455475568421868007465037401
Found prime factor of 37 digits: 1573709518455475568421868007465037401
Prime cofactor 408567863166396559004614913329787215816960992968957050240547574967378059662329153697649708871701513792106919020394332229529008617047349482422317504346380208853396547185225936823119978215741813569244537271491465155183650228311467479928854611616362054068871307363991147325875830194240070281458659921096771013 has 306 digits

76918591952952750844217053734190059774194371003056320359761814258093588231195641360186645916580608129733640636550691997607827729715002580541999348190419032775383243354675762814570821408387820380294137404533695218818080279760075293010062988559740215656378757562694973307479282303530912499313359999721174471890755459735303975101934707000633481<341>

11591846266947634094714184341393404267862301735663701330450606764547270271607840175976527883405519781698566008183559582515635034931200736427627656271572071050352803755341830298587980646442727337159872756540096006982738936576325021364482374857976226400775262678333457768254484648752390877434630740081188344980536580412921435765132350969310184842161163<350>

402291601109801795442222487807839589419089089782581283639538994911688848272020694036005733460587426112988040635231907624193742231255520413716037530717835143164915626522441575875605802631390193952436509698635799261336637091220257976469106317018464474529599353495186900527738392752384770203<288>

318642979258805372578119778011414365906398033996411809992424026899166484639134933991615559747470606541393086715525542784141881142248194598643838736639996124260041401332705552656140765275759448255499929213301592985195465346651064188341252312059162154063509334707563070751518161275232523806464137262692982649253612973596437764701868093<333>

21918410530188797147153064595042306584605195948999<50>

14537686426665387348895482298028817451458276471086382276046660823434376165190447723650321557266970505105125775821277467425737614187356910623589172988781777334600707139116893483611917055313278013666117406008850800194442196796282907082913834678975536042313457041681755232813508449874907<284>

Resuming ECM residue saved by @306b05682b9a with GMP-ECM 7.0.5-dev on Thu Jan 20 10:03:59 2022 
Input number is 318642979258805372578119778011414365906398033996411809992424026899166484639134933991615559747470606541393086715525542784141881142248194598643838736639996124260041401332705552656140765275759448255499929213301592985195465346651064188341252312059162154063509334707563070751518161275232523806464137262692982649253612973596437764701868093 (333 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:184837865
Step 1 took 0ms
Step 2 took 68750ms
********** Factor found in step 2: 21918410530188797147153064595042306584605195948999
Found prime factor of 50 digits: 21918410530188797147153064595042306584605195948999
Composite cofactor 14537686426665387348895482298028817451458276471086382276046660823434376165190447723650321557266970505105125775821277467425737614187356910623589172988781777334600707139116893483611917055313278013666117406008850800194442196796282907082913834678975536042313457041681755232813508449874907 has 284 digits

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1004027299977245982153239417326693402584318345081455852407051777022821512168515429172840960254551452239176279578592512670257955155837488235385037897900740497490291147406072911481345277479608992838265868940044129659057925414157176807555775450387057091737990056769153802234281857184678520855697219722364624681787129<313>

313802770246914487109327411570897439298784429219452230898931869771714198883204844597478151138487513576321211106186329076559992462662480573700467922559725047938392553787410438278573129918126514015552347644213127721390600058801167727637105681367994701724006801784888979582969961079904608351684116090810328474289595980734364796481089<330>

7872294303529793783113181435002354394667745218030916491423963789615105512184858205991897840054192301261834846149041923505672087621132813718890373383018368468648078226247365481592501676781498382465779976936580165748968767551274717254216684499341896675512385534480445291022235167509976587130889945281687570649385772523737654318896536017547713085496912920837<355>

3056582606669516600625074481347108007871<40>

2575521527326730905731225209684451169562031467592158419313859623250511413284792824005563767070456487752647881058919252339272920121216564919067657239971624080535474928428829089536529889758386610718291848837104696426931882100631702484748422797550099085189491217501839281326555973968325729377720677276804478742125477947<316>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3210467906
Step 1 took 35888ms
Step 2 took 6208ms
********** Factor found in step 2: 3056582606669516600625074481347108007871
Found prime factor of 40 digits: 3056582606669516600625074481347108007871
Composite cofactor 2575521527326730905731225209684451169562031467592158419313859623250511413284792824005563767070456487752647881058919252339272920121216564919067657239971624080535474928428829089536529889758386610718291848837104696426931882100631702484748422797550099085189491217501839281326555973968325729377720677276804478742125477947 has 316 digits

2575521527326730905731225209684451169562031467592158419313859623250511413284792824005563767070456487752647881058919252339272920121216564919067657239971624080535474928428829089536529889758386610718291848837104696426931882100631702484748422797550099085189491217501839281326555973968325729377720677276804478742125477947<316>

12004286218772205558387620265368569961<38>

214550159866994107664901049353657689746187242446020439275443103524871713710727397265684649805605258301266618432167219792027050025689612954598544875449247102321861515538464588705449278354202757421253644355476793682530776319484834551368957744779649052212265421477415204884686049027<279>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:272440615
Step 1 took 22447ms
Step 2 took 10455ms
********** Factor found in step 2: 12004286218772205558387620265368569961
Found prime factor of 38 digits: 12004286218772205558387620265368569961
Composite cofactor 214550159866994107664901049353657689746187242446020439275443103524871713710727397265684649805605258301266618432167219792027050025689612954598544875449247102321861515538464588705449278354202757421253644355476793682530776319484834551368957744779649052212265421477415204884686049027 has 279 digits

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