7893271585223861998266369695190814040244072423850668934106564309986528446386977748233678570679067833<100>

224766132577277318971946080141543397591097112121<48>
35117708770070418042530182945168697125058085519123073<53>

N=7893271585223861998266369695190814040244072423850668934106564309986528446386977748233678570679067833
  ( 100 digits)
SNFS difficulty: 122 digits.
Divisors found:
p48 factor: 224766132577277318971946080141543397591097112121
p53 factor: 35117708770070418042530182945168697125058085519123073
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.48 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 7893271585223861998266369695190814040244072423850668934106564309986528446386977748233678570679067833
m: 1000000000000000000000000000000
deg: 4
c4: 445
c0: -4
skew: 0.31
# Murphy_E = 2.991e-08
type: snfs
lss: 1
rlim: 770000
alim: 770000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 770000/770000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [385000, 760001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 69237 x 69463
Total sieving time: 1.46 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,122.000,4,0,0,0,0,0,0,0,0,770000,770000,25,25,46,46,2.2,2.2,75000
total time: 1.48 hours.

461210532981264139191616721073411976341385966737846095038660793016573277331813217066506735167854103<99>

228491265060977760913006967517106308830015861549<48>
2018504002147216808251886705385824485547581463873747<52>

11/21/21 06:30:56 v1.34.5 @ DESKTOP-RJPVCOL, starting SIQS on c99: 461210532981264139191616721073411976341385966737846095038660793016573277331813217066506735167854103
11/21/21 06:30:56 v1.34.5 @ DESKTOP-RJPVCOL, random seeds: 1020179680, 3187851480
11/21/21 06:30:56 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieve params ====
11/21/21 06:30:56 v1.34.5 @ DESKTOP-RJPVCOL, n = 100 digits, 330 bits
11/21/21 06:30:56 v1.34.5 @ DESKTOP-RJPVCOL, factor base: 112352 primes (max prime = 3122953)
11/21/21 06:30:56 v1.34.5 @ DESKTOP-RJPVCOL, single large prime cutoff: 452828185 (145 * pmax)
11/21/21 06:30:56 v1.34.5 @ DESKTOP-RJPVCOL, double large prime range from 44 to 52 bits
11/21/21 06:30:56 v1.34.5 @ DESKTOP-RJPVCOL, double large prime cutoff: 3807853319630767
11/21/21 06:30:56 v1.34.5 @ DESKTOP-RJPVCOL, allocating 9 large prime slices of factor base
11/21/21 06:30:56 v1.34.5 @ DESKTOP-RJPVCOL, buckets hold 2048 elements
11/21/21 06:30:56 v1.34.5 @ DESKTOP-RJPVCOL, using 32k sieve core
11/21/21 06:30:56 v1.34.5 @ DESKTOP-RJPVCOL, sieve interval: 20 blocks of size 32768
11/21/21 06:30:56 v1.34.5 @ DESKTOP-RJPVCOL, polynomial A has ~ 13 factors
11/21/21 06:30:56 v1.34.5 @ DESKTOP-RJPVCOL, using multiplier of 3
11/21/21 06:30:56 v1.34.5 @ DESKTOP-RJPVCOL, using SPV correction of 20 bits, starting at offset 31
11/21/21 06:30:56 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for trial division and x128 sieve scanning
11/21/21 06:30:56 v1.34.5 @ DESKTOP-RJPVCOL, using SSE4.1 enabled 32k sieve core
11/21/21 06:30:56 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for resieving 13-16 bit primes
11/21/21 06:30:56 v1.34.5 @ DESKTOP-RJPVCOL, trial factoring cutoff at 105 bits
11/21/21 06:30:56 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieving started (64 threads) ====
11/21/21 06:45:59 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 105826314 sieve locations out of 3270886031360
11/21/21 06:45:59 v1.34.5 @ DESKTOP-RJPVCOL, squfof: 3 failures, 1333939 attempts, 27733582 outside range, 6565463 prp, 1239982 useful
11/21/21 06:45:59 v1.34.5 @ DESKTOP-RJPVCOL, 122919 relations found: 29367 full + 93552 from 1667358 partial, using 2495488 polys (2047 A polys)
11/21/21 06:45:59 v1.34.5 @ DESKTOP-RJPVCOL, on average, sieving found 0.68 rels/poly and 1878.23 rels/sec
11/21/21 06:45:59 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 105826314 sieve locations out of 3270886031360
11/21/21 06:45:59 v1.34.5 @ DESKTOP-RJPVCOL, ==== post processing stage (msieve-1.38) ====
11/21/21 06:45:59 v1.34.5 @ DESKTOP-RJPVCOL, begin with 1696725 relations
11/21/21 06:46:00 v1.34.5 @ DESKTOP-RJPVCOL, reduce to 315077 relations in 12 passes
11/21/21 06:46:00 v1.34.5 @ DESKTOP-RJPVCOL, failed to read relation 88227
11/21/21 06:46:00 v1.34.5 @ DESKTOP-RJPVCOL, failed to read relation 127890
11/21/21 06:46:01 v1.34.5 @ DESKTOP-RJPVCOL, recovered 315075 relations
11/21/21 06:46:01 v1.34.5 @ DESKTOP-RJPVCOL, recovered 295888 polynomials
11/21/21 06:46:01 v1.34.5 @ DESKTOP-RJPVCOL, freed 49 duplicate relations
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL, attempting to build 122868 cycles
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL, found 122868 cycles in 6 passes
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL, distribution of cycle lengths:
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL,    length 1 : 29367
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL,    length 2 : 21800
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL,    length 3 : 21212
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL,    length 4 : 16865
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL,    length 5 : 12708
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL,    length 6 : 8544
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL,    length 7 : 5376
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL,    length 9+: 6996
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL, largest cycle: 19 relations
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 112352 x 122868 (37.0 MB) with weight 8725972 (71.02/col)
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 8725972 (71.02/col)
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL, filtering completed in 4 passes
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 104901 x 104965 (28.9 MB) with weight 6740373 (64.22/col)
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 6740373 (64.22/col)
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL, saving the first 48 matrix rows for later
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 104853 x 104965 (25.3 MB) with weight 5951040 (56.70/col)
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 5573623 (53.10/col)
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL, matrix includes 64 packed rows
11/21/21 06:46:02 v1.34.5 @ DESKTOP-RJPVCOL, using block size 41986 for processor cache size 12288 kB
11/21/21 06:46:03 v1.34.5 @ DESKTOP-RJPVCOL, commencing Lanczos iteration
11/21/21 06:46:03 v1.34.5 @ DESKTOP-RJPVCOL, memory use: 19.9 MB
11/21/21 06:46:24 v1.34.5 @ DESKTOP-RJPVCOL, lanczos halted after 1659 iterations (dim = 104853)
11/21/21 06:46:24 v1.34.5 @ DESKTOP-RJPVCOL, recovered 18 nontrivial dependencies
11/21/21 06:46:24 v1.34.5 @ DESKTOP-RJPVCOL, prp52 = 2018504002147216808251886705385824485547581463873747
11/21/21 06:46:24 v1.34.5 @ DESKTOP-RJPVCOL, prp48 = 228491265060977760913006967517106308830015861549
11/21/21 06:46:24 v1.34.5 @ DESKTOP-RJPVCOL, Lanczos elapsed time = 25.1100 seconds.
11/21/21 06:46:24 v1.34.5 @ DESKTOP-RJPVCOL, Sqrt elapsed time = 0.1090 seconds.
11/21/21 06:46:24 v1.34.5 @ DESKTOP-RJPVCOL, SIQS elapsed time = 928.5845 seconds.

637991012347788118784383828014676543913524117571169258223624550875949314441649804588266239957761<96>

352769067833057777848681543487958222263<39>
1808523111923483568862414532454625957556949637959244227847<58>

11/21/21 06:20:27 v1.34.5 @ DESKTOP-RJPVCOL, starting SIQS on c96: 637991012347788118784383828014676543913524117571169258223624550875949314441649804588266239957761
11/21/21 06:20:27 v1.34.5 @ DESKTOP-RJPVCOL, random seeds: 3145796098, 695124528
11/21/21 06:20:27 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieve params ====
11/21/21 06:20:27 v1.34.5 @ DESKTOP-RJPVCOL, n = 96 digits, 319 bits
11/21/21 06:20:27 v1.34.5 @ DESKTOP-RJPVCOL, factor base: 98384 primes (max prime = 2704217)
11/21/21 06:20:27 v1.34.5 @ DESKTOP-RJPVCOL, single large prime cutoff: 351548210 (130 * pmax)
11/21/21 06:20:27 v1.34.5 @ DESKTOP-RJPVCOL, double large prime range from 43 to 52 bits
11/21/21 06:20:27 v1.34.5 @ DESKTOP-RJPVCOL, double large prime cutoff: 2414197543678823
11/21/21 06:20:27 v1.34.5 @ DESKTOP-RJPVCOL, allocating 9 large prime slices of factor base
11/21/21 06:20:27 v1.34.5 @ DESKTOP-RJPVCOL, buckets hold 2048 elements
11/21/21 06:20:27 v1.34.5 @ DESKTOP-RJPVCOL, using 32k sieve core
11/21/21 06:20:27 v1.34.5 @ DESKTOP-RJPVCOL, sieve interval: 18 blocks of size 32768
11/21/21 06:20:27 v1.34.5 @ DESKTOP-RJPVCOL, polynomial A has ~ 12 factors
11/21/21 06:20:27 v1.34.5 @ DESKTOP-RJPVCOL, using multiplier of 1
11/21/21 06:20:27 v1.34.5 @ DESKTOP-RJPVCOL, using SPV correction of 19 bits, starting at offset 29
11/21/21 06:20:27 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for trial division and x128 sieve scanning
11/21/21 06:20:27 v1.34.5 @ DESKTOP-RJPVCOL, using SSE4.1 enabled 32k sieve core
11/21/21 06:20:27 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for resieving 13-16 bit primes
11/21/21 06:20:27 v1.34.5 @ DESKTOP-RJPVCOL, trial factoring cutoff at 101 bits
11/21/21 06:20:27 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieving started (64 threads) ====
11/21/21 06:28:42 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 77789174 sieve locations out of 1824653574144
11/21/21 06:28:42 v1.34.5 @ DESKTOP-RJPVCOL, squfof: 1 failures, 1082221 attempts, 23653317 outside range, 5430587 prp, 1011579 useful
11/21/21 06:28:42 v1.34.5 @ DESKTOP-RJPVCOL, 109669 relations found: 26666 full + 83003 from 1383982 partial, using 1546778 polys (1509 A polys)
11/21/21 06:28:42 v1.34.5 @ DESKTOP-RJPVCOL, on average, sieving found 0.91 rels/poly and 2847.62 rels/sec
11/21/21 06:28:42 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 77789174 sieve locations out of 1824653574144
11/21/21 06:28:42 v1.34.5 @ DESKTOP-RJPVCOL, ==== post processing stage (msieve-1.38) ====
11/21/21 06:28:43 v1.34.5 @ DESKTOP-RJPVCOL, begin with 1410648 relations
11/21/21 06:28:43 v1.34.5 @ DESKTOP-RJPVCOL, reduce to 277384 relations in 10 passes
11/21/21 06:28:44 v1.34.5 @ DESKTOP-RJPVCOL, recovered 277384 relations
11/21/21 06:28:44 v1.34.5 @ DESKTOP-RJPVCOL, recovered 254025 polynomials
11/21/21 06:28:44 v1.34.5 @ DESKTOP-RJPVCOL, freed 57 duplicate relations
11/21/21 06:28:44 v1.34.5 @ DESKTOP-RJPVCOL, attempting to build 109612 cycles
11/21/21 06:28:44 v1.34.5 @ DESKTOP-RJPVCOL, found 109612 cycles in 6 passes
11/21/21 06:28:44 v1.34.5 @ DESKTOP-RJPVCOL, distribution of cycle lengths:
11/21/21 06:28:44 v1.34.5 @ DESKTOP-RJPVCOL,    length 1 : 26666
11/21/21 06:28:44 v1.34.5 @ DESKTOP-RJPVCOL,    length 2 : 19709
11/21/21 06:28:44 v1.34.5 @ DESKTOP-RJPVCOL,    length 3 : 19280
11/21/21 06:28:44 v1.34.5 @ DESKTOP-RJPVCOL,    length 4 : 15463
11/21/21 06:28:44 v1.34.5 @ DESKTOP-RJPVCOL,    length 5 : 10902
11/21/21 06:28:44 v1.34.5 @ DESKTOP-RJPVCOL,    length 6 : 7420
11/21/21 06:28:44 v1.34.5 @ DESKTOP-RJPVCOL,    length 7 : 4550
11/21/21 06:28:44 v1.34.5 @ DESKTOP-RJPVCOL,    length 9+: 5622
11/21/21 06:28:44 v1.34.5 @ DESKTOP-RJPVCOL, largest cycle: 20 relations
11/21/21 06:28:44 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 98384 x 109612 (31.6 MB) with weight 7395060 (67.47/col)
11/21/21 06:28:44 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 7395060 (67.47/col)
11/21/21 06:28:45 v1.34.5 @ DESKTOP-RJPVCOL, filtering completed in 4 passes
11/21/21 06:28:45 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 90970 x 91034 (23.6 MB) with weight 5467996 (60.07/col)
11/21/21 06:28:45 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 5467996 (60.07/col)
11/21/21 06:28:45 v1.34.5 @ DESKTOP-RJPVCOL, saving the first 48 matrix rows for later
11/21/21 06:28:45 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 90922 x 91034 (20.6 MB) with weight 4808818 (52.82/col)
11/21/21 06:28:45 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 4480295 (49.22/col)
11/21/21 06:28:45 v1.34.5 @ DESKTOP-RJPVCOL, matrix includes 64 packed rows
11/21/21 06:28:45 v1.34.5 @ DESKTOP-RJPVCOL, using block size 36413 for processor cache size 12288 kB
11/21/21 06:28:45 v1.34.5 @ DESKTOP-RJPVCOL, commencing Lanczos iteration
11/21/21 06:28:45 v1.34.5 @ DESKTOP-RJPVCOL, memory use: 16.4 MB
11/21/21 06:28:59 v1.34.5 @ DESKTOP-RJPVCOL, lanczos halted after 1439 iterations (dim = 90921)
11/21/21 06:28:59 v1.34.5 @ DESKTOP-RJPVCOL, recovered 16 nontrivial dependencies
11/21/21 06:28:59 v1.34.5 @ DESKTOP-RJPVCOL, prp39 = 352769067833057777848681543487958222263
11/21/21 06:28:59 v1.34.5 @ DESKTOP-RJPVCOL, prp58 = 1808523111923483568862414532454625957556949637959244227847
11/21/21 06:28:59 v1.34.5 @ DESKTOP-RJPVCOL, Lanczos elapsed time = 16.9110 seconds.
11/21/21 06:28:59 v1.34.5 @ DESKTOP-RJPVCOL, Sqrt elapsed time = 0.2350 seconds.
11/21/21 06:28:59 v1.34.5 @ DESKTOP-RJPVCOL, SIQS elapsed time = 512.5240 seconds.

54686892208951833211662948137318033637996922752694806402707974383798991899708632557223587<89>

2791418385309549224096683666743583365069721<43>
19591076886486663503949275670648138635986702747<47>

PRP43 = 2791418385309549224096683666743583365069721
PRP47 = 19591076886486663503949275670648138635986702747

YAFU

18566081063264859957510793359934981166901141667960034111523319832246070249044159736720454063760511739604246250486055830083226109<128>

9757588868271523382423862488448298516493<40>
1902732459207792849213845303996452018163969891610005328348908279331848911922476259476913<88>

N=18566081063264859957510793359934981166901141667960034111523319832246070249044159736720454063760511739604246250486055830083226109
  ( 128 digits)
SNFS difficulty: 133 digits.
Divisors found:
p40 factor: 9757588868271523382423862488448298516493
p88 factor: 1902732459207792849213845303996452018163969891610005328348908279331848911922476259476913
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 18566081063264859957510793359934981166901141667960034111523319832246070249044159736720454063760511739604246250486055830083226109
m: 1000000000000000000000000000000000
deg: 4
c4: 89
c0: -8
skew: 0.55
# Murphy_E = 9.008e-09
type: snfs
lss: 1
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [600000, 1300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 144439 x 144664
Total sieving time: 2.95 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,133.000,4,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,100000
total time: 3.01 hours.

236750861413462040269272036469492406392604363766398711239213293799004193245071529294634335468869514346329235098431847279363299<126>

12533933517096031080335316881777119002013<41>
18888791861751832936625833107407969442337190814146658782951107849993275705967363409023<86>

N=236750861413462040269272036469492406392604363766398711239213293799004193245071529294634335468869514346329235098431847279363299
  ( 126 digits)
SNFS difficulty: 137 digits.
Divisors found:
p41 factor: 12533933517096031080335316881777119002013
p86 factor: 18888791861751832936625833107407969442337190814146658782951107849993275705967363409023
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.21 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 236750861413462040269272036469492406392604363766398711239213293799004193245071529294634335468869514346329235098431847279363299
m: 10000000000000000000000000000000000
deg: 4
c4: 89
c0: -8
skew: 0.55
# Murphy_E = 5.712e-09
type: snfs
lss: 1
rlim: 1390000
alim: 1390000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [695000, 1695001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 188241 x 188466
Total sieving time: 4.14 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,137.000,4,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,100000
total time: 4.21 hours.

27511319826202646527144090073915806706085133006412301331176940444484011286441679711359887630168727851841960141352543035122991055420781<134>

542513237236178888836753718009975522614709<42>
1282159957725125249610428310329303235679357<43>
39551128239344069132227978185881225723958169700237<50>

N=27511319826202646527144090073915806706085133006412301331176940444484011286441679711359887630168727851841960141352543035122991055420781
  ( 134 digits)
SNFS difficulty: 139 digits.
Divisors found:
p42 factor: 542513237236178888836753718009975522614709
p43 factor: 1282159957725125249610428310329303235679357
p50 factor: 39551128239344069132227978185881225723958169700237
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.88 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 27511319826202646527144090073915806706085133006412301331176940444484011286441679711359887630168727851841960141352543035122991055420781
m: 10000000000000000000000000000000000
deg: 4
c4: 2225
c0: -2
skew: 0.17
# Murphy_E = 5.167e-09
type: snfs
lss: 1
rlim: 1470000
alim: 1470000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1470000/1470000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [735000, 1835001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 193070 x 193295
Total sieving time: 4.78 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,139.000,4,0,0,0,0,0,0,0,0,1470000,1470000,26,26,48,48,2.3,2.3,100000
total time: 4.88 hours.

4943326141037152591883347089022023144849738917730376156494668078938869780263492127227871541521022550398356564088551645660941<124>

925273070423802319713120986942241908866613<42>
5342559185012229542215600295010728696475745316063256208332134876013263005442728057<82>

CADO

STA:Wed 24 Nov 2021 21:30:40 AEDT (4,943,326,141,037,152,591,883,347,089,022,023,144,849,738,917,730,376,156,494,668,078,938,869,780,263,492,127,227,871,541,521,022,550,398,356,564,088,551,645,660,941 - C124)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 4943326141037152591883347089022023144849738917730376156494668078938869780263492127227871541521022550398356564088551645660941 2>&1 | tee -a log99

Debug:root: Looking for parameter file for c124 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.1f9y9cf3
Info:Database: Opened connection to database /tmp/cado.1f9y9cf3/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 4943326141037152591883347089022023144849738917730376156494668078938869780263492127227
871541521022550398356564088551645660941
Debug:root: Root parameter dictionary:
N = 4943326141037152591883347089022023144849738917730376156494668078938869780263492127227871541521022550398356564088551645660941
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
...
n: 4943326141037152591883347089022023144849738917730376156494668078938869780263492127227871541521022550398356564088551645660941
skew: 162895.896
c0: -2272566013393726186648550849706
c1: -42707207700882088682225239
c2: 693678394515529434918
c3: 1870283228910583
c4: -12037472316
c5: -25920
Y0: -1166988959282505168937206
Y1: 147210675120100237
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 6.47e-10
# f(x) = -25920*x^5-12037472316*x^4+1870283228910583*x^3+693678394515529434918*x^2-42707207700882088682225239*x-2272566013393726186648550849706
# g(x) = 147210675120100237*x-1166988959282505168937206
...
Info:Square Root: finished
Info:Square Root: Factors: 5342559185012229542215600295010728696475745316063256208332134876013263005442728057 925273070423802319713120986942241908866613
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 537.87/75.6554
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21458/36.710/44.028/47.860/0.859
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21458/34.960/39.758/44.820/1.266
Info:Polynomial Selection (size optimized): Total time: 1757.19
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1174.98
Info:Polynomial Selection (root optimized): Rootsieve time: 1174.08
Info:Generate Factor Base: Total cpu/real time for makefb: 11.66/1.06566
Info:Generate Free Relations: Total cpu/real time for freerel: 150.19/10.2709
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13066905
Info:Lattice Sieving: Average J: 3836.23 for 195594 special-q, max bucket fill: 0.718329
Info:Lattice Sieving: Total CPU time: 139408s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 34.28/42.1191
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 42.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 189.03/57.1103
Info:Filtering - Singleton removal: Total cpu/real time for purge: 138.76/52.8516
Info:Filtering - Merging: Total cpu/real time for merge: 239.46/194.619
Info:Filtering - Merging: Total cpu/real time for replay: 21.2/16.3721
Info:Linear Algebra: Total cpu/real time for bwc: 9587.4/0.00032115
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 401.21
Info:Linear Algebra: Lingen CPU time 142.46, WCT time 14.24
Info:Linear Algebra: Mksol: WCT time 217.5
Info:Quadratic Characters: Total cpu/real time for characters: 23.49/5.61111
Info:Square Root: Total cpu/real time for sqrt: 537.87/75.6554
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 153274/10479.5
Info:root: Cleaning up computation data in /tmp/cado.1f9y9cf3
5342559185012229542215600295010728696475745316063256208332134876013263005442728057 925273070423802319713120986942241908866613

END:Thu 25 Nov 2021 00:25:20 AEDT (4,943,326,141,037,152,591,883,347,089,022,023,144,849,738,917,730,376,156,494,668,078,938,869,780,263,492,127,227,871,541,521,022,550,398,356,564,088,551,645,660,941 - C124)

27133457150927529664827012796241688153498452172509814485410384684228332493821892758450770694175917142285463<107>

97318551169317615154735433811340890620683<41>
278810738804772794971772975889459364447279874000363345431912858661<66>

CADO

STA:Mon 22 Nov 2021 03:22:20 AEDT (27,133,457,150,927,529,664,827,012,796,241,688,153,498,452,172,509,814,485,410,384,684,228,332,493,821,892,758,450,770,694,175,917,142,285,463 - C107)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 27133457150927529664827012796241688153498452172509814485410384684228332493821892758450770694175917142285463 2>&1 | tee -a log76

Debug:root: Looking for parameter file for c107 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.gwxzi2yg
Info:Database: Opened connection to database /tmp/cado.gwxzi2yg/c105.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2713345715092752966482701279624168815349845217250981448541038468422833249382189275845
0770694175917142285463
Debug:root: Root parameter dictionary:
N = 27133457150927529664827012796241688153498452172509814485410384684228332493821892758450770694175917142285463
lim0 = 823116
lim1 = 1218966
lpb0 = 24
lpb1 = 24
name = c105
...
n: 27133457150927529664827012796241688153498452172509814485410384684228332493821892758450770694175917142285463
skew: 688342.086
c0: -3488578003756488405963868544
c1: -67437541390092116633364
c2: 3527414098788779
c3: 115382878584
c4: -57780
Y0: -34452338657717262971569285
Y1: 1032082561307213
# MurphyE (Bf=1.22e+06,Bg=8.23e+05,area=2.56e+12) = 2.8e-09
# f(x) = -57780*x^4+115382878584*x^3+3527414098788779*x^2-67437541390092116633364*x-3488578003756488405963868544
# g(x) = 1032082561307213*x-34452338657717262971569285
...
Info:Square Root: finished
Info:Square Root: Factors: 278810738804772794971772975889459364447279874000363345431912858661 97318551169317615154735433811340890620683
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11429.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11560/35.900/40.524/41.580/0.676
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11560/35.420/39.425/41.350/1.029
Info:Polynomial Selection (size optimized): Total time: 230.66
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 74.75
Info:Polynomial Selection (root optimized): Rootsieve time: 74.39
Info:Generate Factor Base: Total cpu/real time for makefb: 1.17/0.130121
Info:Generate Free Relations: Total cpu/real time for freerel: 12.99/0.845917
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2264815
Info:Lattice Sieving: Average J: 999.942 for 370139 special-q, max bucket fill: 0.823923
Info:Lattice Sieving: Total CPU time: 24755.8s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 6.6/5.71358
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 5.299999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 36.33/20.0469
Info:Filtering - Singleton removal: Total cpu/real time for purge: 29.3/17.4798
Info:Filtering - Merging: Total cpu/real time for merge: 99.16/75.7297
Info:Filtering - Merging: Total cpu/real time for replay: 10.24/8.01949
Info:Linear Algebra: Total cpu/real time for bwc: 2086.23/0.00017333
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 82.18
Info:Linear Algebra: Lingen CPU time 59.26, WCT time 6.13
Info:Linear Algebra: Mksol: WCT time 51.15
Info:Quadratic Characters: Total cpu/real time for characters: 9.4/2.21288
Info:Square Root: Total cpu/real time for sqrt: 167.38/23.8994
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 27520/2072.25
Info:root: Cleaning up computation data in /tmp/cado.gwxzi2yg
278810738804772794971772975889459364447279874000363345431912858661 97318551169317615154735433811340890620683

END:Mon 22 Nov 2021 03:56:53 AEDT (27,133,457,150,927,529,664,827,012,796,241,688,153,498,452,172,509,814,485,410,384,684,228,332,493,821,892,758,450,770,694,175,917,142,285,463 - C107)

155840771905285237286540212774486817604728794694584974987785218972430808711806701177071527960470335733<102>

72794713082486753314373682355153485212633669<44>
2140825415833365526443547241967766823227540691515381321457<58>

CADO

TA:Mon 22 Nov 2021 02:56:10 AEDT (155,840,771,905,285,237,286,540,212,774,486,817,604,728,794,694,584,974,987,785,218,972,430,808,711,806,701,177,071,527,960,470,335,733 - C102)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 155840771905285237286540212774486817604728794694584974987785218972430808711806701177071527960470335733 2>&1 | tee -a log75

Debug:root: Looking for parameter file for c102 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c100
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c100
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.8kse1wqf
Info:Database: Opened connection to database /tmp/cado.8kse1wqf/c100.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1558407719052852372865402127744868176047287946945849749877852189724308087118067011770
71527960470335733
Debug:root: Root parameter dictionary:
N = 155840771905285237286540212774486817604728794694584974987785218972430808711806701177071527960470335733
lim0 = 919082
lim1 = 1051872
lpb0 = 24
lpb1 = 25
name = c100
...
n: 155840771905285237286540212774486817604728794694584974987785218972430808711806701177071527960470335733
skew: 657504.582
c0: 2116571455122152130516023573
c1: 14202191200159053452268
c2: -22921655865156681
c3: 1651544360
c4: 25200
Y0: -2358101034985771673174214
Y1: 76141680213509
# MurphyE (Bf=1.05e+06,Bg=9.19e+05,area=2.21e+12) = 6.6e-09
# f(x) = 25200*x^4+1651544360*x^3-22921655865156681*x^2+14202191200159053452268*x+2116571455122152130516023573
# g(x) = 76141680213509*x-2358101034985771673174214
...
Info:Square Root: finished
Info:Square Root: Factors: 72794713082486753314373682355153485212633669 2140825415833365526443547241967766823227540691515381321457
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 100.07/14.8065
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 2890.72
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2949/34.830/38.512/39.350/0.668
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 2949/33.700/37.219/39.340/0.982
Info:Polynomial Selection (size optimized): Total time: 65.29
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 48.2
Info:Polynomial Selection (root optimized): Rootsieve time: 47.97
Info:Generate Factor Base: Total cpu/real time for makefb: 1.02/0.117814
Info:Generate Free Relations: Total cpu/real time for freerel: 25.91/1.68854
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2688983
Info:Lattice Sieving: Average J: 1022.82 for 120126 special-q, max bucket fill: 0.842582
Info:Lattice Sieving: Total CPU time: 9155.86s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 6.13/5.38807
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 5.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 27.7/8.67566
Info:Filtering - Singleton removal: Total cpu/real time for purge: 17.69/7.7127
Info:Filtering - Merging: Total cpu/real time for merge: 63.59/49.7443
Info:Filtering - Merging: Total cpu/real time for replay: 6.94/5.40387
Info:Linear Algebra: Total cpu/real time for bwc: 1119.91/0.000331163
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 43.15
Info:Linear Algebra: Lingen CPU time 40.92, WCT time 4.22
Info:Linear Algebra: Mksol: WCT time 27.64
Info:Quadratic Characters: Total cpu/real time for characters: 6.54/1.48559
Info:Square Root: Total cpu/real time for sqrt: 100.07/14.8065
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 10644.9/866.675
Info:root: Cleaning up computation data in /tmp/cado.8kse1wqf
72794713082486753314373682355153485212633669 2140825415833365526443547241967766823227540691515381321457

END:Mon 22 Nov 2021 03:10:38 AEDT (155,840,771,905,285,237,286,540,212,774,486,817,604,728,794,694,584,974,987,785,218,972,430,808,711,806,701,177,071,527,960,470,335,733 - C102)

1695342686449483266851804748280902206406913992949491724922685705996698944181987455830522810721504224256705747<109>

2246884253671947360960219851339781070581018451<46>
754530494251711902702696363931274648062929618672214986037716097<63>

CADO

STA:Mon 22 Nov 2021 04:03:41 AEDT (1,695,342,686,449,483,266,851,804,748,280,902,206,406,913,992,949,491,724,922,685,705,996,698,944,181,987,455,830,522,810,721,504,224,256,705,747 - C109)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1695342686449483266851804748280902206406913992949491724922685705996698944181987455830522810721504224256705747 2>&1 | tee -a log77

Debug:root: Looking for parameter file for c109 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.9iaxsbct
Info:Database: Opened connection to database /tmp/cado.9iaxsbct/c110.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1695342686449483266851804748280902206406913992949491724922685705996698944181987455830
522810721504224256705747
Debug:root: Root parameter dictionary:
N = 1695342686449483266851804748280902206406913992949491724922685705996698944181987455830522810721504224256705747
lim0 = 2910696
lim1 = 3533488
lpb0 = 25
lpb1 = 25
name = c110
...
n: 1695342686449483266851804748280902206406913992949491724922685705996698944181987455830522810721504224256705747
skew: 9391.249
c0: -650722771467810251038272
c1: -943124447958199289192
c2: 44028725277210969
c3: -11638999093273
c4: -578145762
c5: 55800
Y0: -712416888639263116781
Y1: 451314796105073
# MurphyE (Bf=3.53e+06,Bg=2.91e+06,area=2.96e+13) = 5.8e-09
# f(x) = 55800*x^5-578145762*x^4-11638999093273*x^3+44028725277210969*x^2-943124447958199289192*x-650722771467810251038272
# g(x) = 451314796105073*x-712416888639263116781
...
Info:Square Root: finished
Info:Square Root: Factors: 754530494251711902702696363931274648062929618672214986037716097 2246884253671947360960219851339781070581018451
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 27840.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 28311/31.470/38.280/42.850/0.992
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 28311/30.280/34.585/38.880/1.099
Info:Polynomial Selection (size optimized): Total time: 997.69
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 262.99
Info:Polynomial Selection (root optimized): Rootsieve time: 262.07
Info:Generate Factor Base: Total cpu/real time for makefb: 4.44/0.417746
Info:Generate Free Relations: Total cpu/real time for freerel: 35.95/2.41994
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3693167
Info:Lattice Sieving: Average J: 1889.08 for 87183 special-q, max bucket fill: 0.750059
Info:Lattice Sieving: Total CPU time: 21872.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 8.91/9.06053
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 53.26/23.6532
Info:Filtering - Singleton removal: Total cpu/real time for purge: 34.56/18.5468
Info:Filtering - Merging: Total cpu/real time for merge: 123.22/100.609
Info:Filtering - Merging: Total cpu/real time for replay: 12.41/9.72545
Info:Linear Algebra: Total cpu/real time for bwc: 2471.21/0.000324488
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 105.52
Info:Linear Algebra: Lingen CPU time 73.38, WCT time 7.5
Info:Linear Algebra: Mksol: WCT time 57.88
Info:Quadratic Characters: Total cpu/real time for characters: 11.93/2.79536
Info:Square Root: Total cpu/real time for sqrt: 237.06/33.8682
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 26126.5/1967.92
Info:root: Cleaning up computation data in /tmp/cado.9iaxsbct
754530494251711902702696363931274648062929618672214986037716097 2246884253671947360960219851339781070581018451

END:Mon 22 Nov 2021 04:36:29 AEDT (1,695,342,686,449,483,266,851,804,748,280,902,206,406,913,992,949,491,724,922,685,705,996,698,944,181,987,455,830,522,810,721,504,224,256,705,747 - C109)

24340902585799795293438718772544131371460524908111279658630605649902057017252799417281537286804225852286725263597<113>

69343358542239745483430924714775803<35>
351019954866662562071686818789716669672933138620864025472772447740582558399799<78>

CADO

STA:Mon 22 Nov 2021 21:39:56 AEDT (24,340,902,585,799,795,293,438,718,772,544,131,371,460,524,908,111,279,658,630,605,649,902,057,017,252,799,417,281,537,286,804,225,852,286,725,263,597 - C113)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 24340902585799795293438718772544131371460524908111279658630605649902057017252799417281537286804225852286725263597 2>&1 | tee -a log79

Debug:root: Looking for parameter file for c113 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.oq3mi3jf
Info:Database: Opened connection to database /tmp/cado.oq3mi3jf/c115.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2434090258579979529343871877254413137146052490811127965863060564990205701725279941728
1537286804225852286725263597
Debug:root: Root parameter dictionary:
N = 24340902585799795293438718772544131371460524908111279658630605649902057017252799417281537286804225852286725263597
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 24340902585799795293438718772544131371460524908111279658630605649902057017252799417281537286804225852286725263597
skew: 6857324.674
c0: -5493314842207651210316648698901
c1: 22286844129696846255309
c2: -231065039814882042
c3: 10168340582
c4: 3960
Y0: -1573451408580877167948062354
Y1: 1781134090513531273
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 2.98e-09
# f(x) = 3960*x^4+10168340582*x^3-231065039814882042*x^2+22286844129696846255309*x-5493314842207651210316648698901
# g(x) = 1781134090513531273*x-1573451408580877167948062354
...
Info:Square Root: finished
Info:Square Root: Factors: 351019954866662562071686818789716669672933138620864025472772447740582558399799 69343358542239745483430924714775803
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 237.87/35.0836
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 55825/37.930/42.921/51.300/0.650
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 55825/37.000/42.082/43.930/1.016
Info:Polynomial Selection (size optimized): Total time: 1113.4
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 150.27
Info:Polynomial Selection (root optimized): Rootsieve time: 149.62
Info:Generate Factor Base: Total cpu/real time for makefb: 2.56/0.259003
Info:Generate Free Relations: Total cpu/real time for freerel: 52.95/3.52989
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6786221
Info:Lattice Sieving: Average J: 4096 for 62490 special-q, max bucket fill: 0.62576
Info:Lattice Sieving: Total CPU time: 53784.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.37/18.0295
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 17.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 88.23/27.6749
Info:Filtering - Singleton removal: Total cpu/real time for purge: 78.25/28.7116
Info:Filtering - Merging: Total cpu/real time for merge: 114.17/90.2059
Info:Filtering - Merging: Total cpu/real time for replay: 11.68/9.34644
Info:Linear Algebra: Total cpu/real time for bwc: 3372.13/0.000347376
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 140.64
Info:Linear Algebra: Lingen CPU time 76.77, WCT time 7.89
Info:Linear Algebra: Mksol: WCT time 76.87
Info:Quadratic Characters: Total cpu/real time for characters: 13.59/3.15929
Info:Square Root: Total cpu/real time for sqrt: 237.87/35.0836
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 59036.1/4093.05
Info:root: Cleaning up computation data in /tmp/cado.oq3mi3jf
351019954866662562071686818789716669672933138620864025472772447740582558399799 69343358542239745483430924714775803

END:Mon 22 Nov 2021 22:48:09 AEDT (24,340,902,585,799,795,293,438,718,772,544,131,371,460,524,908,111,279,658,630,605,649,902,057,017,252,799,417,281,537,286,804,225,852,286,725,263,597 - C113)

4025909195271877043158019134755856690575174189938366098961197477160980067989395448953990851704856588159679197608640583780148735951117<133>

177532695510226058398537809838105877131<39>
22677001459936604758670947136224536418106598674146542022236926129724630565989422380762965835207<95>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 4025909195271877043158019134755856690575174189938366098961197477160980067989395448953990851704856588159679197608640583780148735951117 (133 digits)
Using B1=37630000, B2=192391008826, polynomial Dickson(12), sigma=1:1504949631
Step 1 took 58408ms
********** Factor found in step 1: 177532695510226058398537809838105877131
Found prime factor of 39 digits: 177532695510226058398537809838105877131
Prime cofactor 22677001459936604758670947136224536418106598674146542022236926129724630565989422380762965835207 has 95 digits

57186630673797803235330294376984265612921802806305403522129385345072305897674605463594744598072434387301201446013017498207477647812599243245061<143>

623729724745437891017825046945912108163<39>
91684953281867908900276914218855889372174399565308960435731859782687063782872455047242209526803031237847<104>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 57186630673797803235330294376984265612921802806305403522129385345072305897674605463594744598072434387301201446013017498207477647812599243245061 (143 digits)
Using B1=35670000, B2=192388936756, polynomial Dickson(12), sigma=1:1687715567
Step 1 took 71114ms
Step 2 took 26578ms
********** Factor found in step 2: 623729724745437891017825046945912108163
Found prime factor of 39 digits: 623729724745437891017825046945912108163
Prime cofactor 91684953281867908900276914218855889372174399565308960435731859782687063782872455047242209526803031237847 has 104 digits

2993874293291828962283680428269127379471220611138061411963016413184720447987386384669800445562470859232372451660291702164257554315546143<136>

13696694374387513560574567840027140030300679<44>
218583711620980702617949037581055868165209177400053985339233478508679931022646440579841797417<93>

CADO

STA:Mon 22 Nov 2021 04:44:34 AEDT (2,993,874,293,291,828,962,283,680,428,269,127,379,471,220,611,138,061,411,963,016,413,184,720,447,987,386,384,669,800,445,562,470,859,232,372,451,660,291,702,164,257,554,315,546,143 - C136)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2993874293291828962283680428269127379471220611138061411963016413184720447987386384669800445562470859232372451660291702164257554315546143 2>&1 | tee -a log78

Debug:root: Looking for parameter file for c136 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c135
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c135
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.8eugu0zk
Info:Database: Opened connection to database /tmp/cado.8eugu0zk/c135.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2993874293291828962283680428269127379471220611138061411963016413184720447987386384669
800445562470859232372451660291702164257554315546143
Debug:root: Root parameter dictionary:
N = 2993874293291828962283680428269127379471220611138061411963016413184720447987386384669800445562470859232372451660291702164257554315546143
lim0 = 3341873
lim1 = 16407032
lpb0 = 27
lpb1 = 28
name = c135
...
n: 2993874293291828962283680428269127379471220611138061411963016413184720447987386384669800445562470859232372451660291702164257554315546143
skew: 450729.28
c0: 423623938284443832816415352082280
c1: -6981170094467568166188254994
c2: -6069806690656438969625
c3: 10707813575322123
c4: 56718671746
c5: 47760
Y0: -161761317839242228896772167
Y1: 17634855986538478703
# MurphyE (Bf=1.64e+07,Bg=3.34e+06,area=5.51e+14) = 3.29e-10
# f(x) = 47760*x^5+56718671746*x^4+10707813575322123*x^3-6069806690656438969625*x^2-6981170094467568166188254994*x+423623938284443832816415352082280
# g(x) = 17634855986538478703*x-161761317839242228896772167
...
Info:Square Root: finished
Info:Square Root: Factors: 13696694374387513560574567840027140030300679 218583711620980702617949037581055868165209177400053985339233478508679931022646440579841797417
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1279.66/193.561
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 35600.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 36279/39.770/48.710/53.930/0.982
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 36279/39.030/43.739/49.360/1.404
Info:Polynomial Selection (size optimized): Total time: 9002.08
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2776.74
Info:Polynomial Selection (root optimized): Rootsieve time: 2775.76
Info:Generate Factor Base: Total cpu/real time for makefb: 21.52/2.01271
Info:Generate Free Relations: Total cpu/real time for freerel: 302.36/20.0268
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19121283
Info:Lattice Sieving: Average J: 3821.45 for 811298 special-q, max bucket fill: 0.750067
Info:Lattice Sieving: Total CPU time: 628726s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.42/71.13
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 71.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 307.86/96.8901
Info:Filtering - Singleton removal: Total cpu/real time for purge: 209.42/89.0245
Info:Filtering - Merging: Total cpu/real time for merge: 581.99/485.356
Info:Filtering - Merging: Total cpu/real time for replay: 45.92/36.2888
Info:Linear Algebra: Total cpu/real time for bwc: 47094.6/0.000348568
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 2041.41
Info:Linear Algebra: Lingen CPU time 5974.51, WCT time 439.21
Info:Linear Algebra: Mksol: WCT time 1153.48
Info:Quadratic Characters: Total cpu/real time for characters: 47.78/12.1563
Info:Square Root: Total cpu/real time for sqrt: 1279.66/193.561
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 690449/47408.4
Info:root: Cleaning up computation data in /tmp/cado.8eugu0zk
13696694374387513560574567840027140030300679 218583711620980702617949037581055868165209177400053985339233478508679931022646440579841797417

END:Mon 22 Nov 2021 17:54:43 AEDT (2,993,874,293,291,828,962,283,680,428,269,127,379,471,220,611,138,061,411,963,016,413,184,720,447,987,386,384,669,800,445,562,470,859,232,372,451,660,291,702,164,257,554,315,546,143 - C136)

21721888656918854766496358058036182178940634381375548541966969375179025775124174255930289315166988287900500356290675182566091611<128>

50556098269649983574129108135423149921397<41>
429659119282925678112671389483685220113473687509054343070614934333808241565559745758863<87>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 21721888656918854766496358058036182178940634381375548541966969375179025775124174255930289315166988287900500356290675182566091611 (128 digits)
Using B1=36440000, B2=192389627446, polynomial Dickson(12), sigma=1:4098629190
Step 1 took 56364ms
Step 2 took 23459ms
********** Factor found in step 2: 50556098269649983574129108135423149921397
Found prime factor of 41 digits: 50556098269649983574129108135423149921397
Prime cofactor 429659119282925678112671389483685220113473687509054343070614934333808241565559745758863 has 87 digits

163312341275084041631802234259626253284596526768544208100292127244168464937390819277462162915987727719792721774489511310755860894584636162123280632991294901719<159>

708709887549589071205783977492187196826859747909451<51>
230436098245711196667215440010095630238763203461916533889646171331115754158232091479129359205906008239429669<108>

P108 = 230436098245711196667215440010095630238763203461916533889646171331115754158232091479129359205906008239429669
P51 = 708709887549589071205783977492187196826859747909451

500449842555105713000449842555105713000449842555105713000449842555105713000449842555105713000449842555105713000449842555105713000449842555105713000449842555105713<162>

7205079280037836838239874274889910034484154415795345754008435415913<67>
69457923099005462268789240300960762493517685566662704787789550981094056785681072952295430734601<95>

P67 = 7205079280037836838239874274889910034484154415795345754008435415913
P95 = 69457923099005462268789240300960762493517685566662704787789550981094056785681072952295430734601

570770738501033889403344481585941331051218035701601737334816607453294552838709186815867388799997282499<102>

21080257170012563986816175288003225762280539<44>
27076080424340179237284863246117231517317472730865088563641<59>

11/21/21 22:08:21 v1.34.5 @ DESKTOP-RJPVCOL, starting SIQS on c102: 570770738501033889403344481585941331051218035701601737334816607453294552838709186815867388799997282499
11/21/21 22:08:21 v1.34.5 @ DESKTOP-RJPVCOL, random seeds: 0, 3937524988
11/21/21 22:08:21 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieve params ====
11/21/21 22:08:21 v1.34.5 @ DESKTOP-RJPVCOL, n = 103 digits, 340 bits
11/21/21 22:08:21 v1.34.5 @ DESKTOP-RJPVCOL, factor base: 136320 primes (max prime = 3839503)
11/21/21 22:08:21 v1.34.5 @ DESKTOP-RJPVCOL, single large prime cutoff: 575925450 (150 * pmax)
11/21/21 22:08:21 v1.34.5 @ DESKTOP-RJPVCOL, double large prime range from 31 to 32 bits
11/21/21 22:08:21 v1.34.5 @ DESKTOP-RJPVCOL, double large prime cutoff: 5870286351513337
11/21/21 22:08:21 v1.34.5 @ DESKTOP-RJPVCOL, allocating 11 large prime slices of factor base
11/21/21 22:08:21 v1.34.5 @ DESKTOP-RJPVCOL, buckets hold 2048 elements
11/21/21 22:08:21 v1.34.5 @ DESKTOP-RJPVCOL, using SSE4.1 enabled 32k sieve core
11/21/21 22:08:21 v1.34.5 @ DESKTOP-RJPVCOL, sieve interval: 22 blocks of size 32768
11/21/21 22:08:21 v1.34.5 @ DESKTOP-RJPVCOL, polynomial A has ~ 13 factors
11/21/21 22:08:21 v1.34.5 @ DESKTOP-RJPVCOL, using multiplier of 3
11/21/21 22:08:21 v1.34.5 @ DESKTOP-RJPVCOL, using SPV correction of 20 bits, starting at offset 34
11/21/21 22:08:21 v1.34.5 @ DESKTOP-RJPVCOL, trial factoring cutoff at 103 bits
11/21/21 22:08:21 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieving started (64 threads) ====
11/21/21 22:43:01 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 294236705 sieve locations out of 6290746114048
11/21/21 22:43:01 v1.34.5 @ DESKTOP-RJPVCOL, squfof: 0 failures, 1704306 attempts, 48311024 outside range, 8395252 prp, 1585890 useful
11/21/21 22:43:01 v1.34.5 @ DESKTOP-RJPVCOL, 147823 relations found: 33931 full + 113892 from 2091369 partial, using 4363144 polys (2167 A polys)
11/21/21 22:43:01 v1.34.5 @ DESKTOP-RJPVCOL, on average, sieving found 0.49 rels/poly and 1021.90 rels/sec
11/21/21 22:43:01 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 294236705 sieve locations out of 6290746114048
11/21/21 22:43:01 v1.34.5 @ DESKTOP-RJPVCOL, ==== post processing stage (msieve-1.38) ====
11/21/21 22:43:01 v1.34.5 @ DESKTOP-RJPVCOL, begin with 2125300 relations
11/21/21 22:43:02 v1.34.5 @ DESKTOP-RJPVCOL, reduce to 391576 relations in 11 passes
11/21/21 22:43:02 v1.34.5 @ DESKTOP-RJPVCOL, failed to read relation 40798
11/21/21 22:43:04 v1.34.5 @ DESKTOP-RJPVCOL, recovered 391575 relations
11/21/21 22:43:04 v1.34.5 @ DESKTOP-RJPVCOL, recovered 374680 polynomials
11/21/21 22:43:05 v1.34.5 @ DESKTOP-RJPVCOL, attempting to build 147822 cycles
11/21/21 22:43:05 v1.34.5 @ DESKTOP-RJPVCOL, found 147822 cycles in 6 passes
11/21/21 22:43:05 v1.34.5 @ DESKTOP-RJPVCOL, distribution of cycle lengths:
11/21/21 22:43:05 v1.34.5 @ DESKTOP-RJPVCOL,    length 1 : 33931
11/21/21 22:43:05 v1.34.5 @ DESKTOP-RJPVCOL,    length 2 : 24411
11/21/21 22:43:05 v1.34.5 @ DESKTOP-RJPVCOL,    length 3 : 24504
11/21/21 22:43:05 v1.34.5 @ DESKTOP-RJPVCOL,    length 4 : 20307
11/21/21 22:43:05 v1.34.5 @ DESKTOP-RJPVCOL,    length 5 : 15998
11/21/21 22:43:05 v1.34.5 @ DESKTOP-RJPVCOL,    length 6 : 11120
11/21/21 22:43:05 v1.34.5 @ DESKTOP-RJPVCOL,    length 7 : 7344
11/21/21 22:43:05 v1.34.5 @ DESKTOP-RJPVCOL,    length 9+: 10207
11/21/21 22:43:05 v1.34.5 @ DESKTOP-RJPVCOL, largest cycle: 20 relations
11/21/21 22:43:05 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 136320 x 147822 (47.6 MB) with weight 11304062 (76.47/col)
11/21/21 22:43:05 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 11304062 (76.47/col)
11/21/21 22:43:05 v1.34.5 @ DESKTOP-RJPVCOL, filtering completed in 4 passes
11/21/21 22:43:05 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 128800 x 128864 (38.1 MB) with weight 8968920 (69.60/col)
11/21/21 22:43:05 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 8968920 (69.60/col)
11/21/21 22:43:06 v1.34.5 @ DESKTOP-RJPVCOL, saving the first 48 matrix rows for later
11/21/21 22:43:06 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 128752 x 128864 (32.6 MB) with weight 7923376 (61.49/col)
11/21/21 22:43:06 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 7267850 (56.40/col)
11/21/21 22:43:06 v1.34.5 @ DESKTOP-RJPVCOL, matrix includes 64 packed rows
11/21/21 22:43:06 v1.34.5 @ DESKTOP-RJPVCOL, using block size 51545 for processor cache size 12288 kB
11/21/21 22:43:06 v1.34.5 @ DESKTOP-RJPVCOL, commencing Lanczos iteration
11/21/21 22:43:06 v1.34.5 @ DESKTOP-RJPVCOL, memory use: 25.5 MB
11/21/21 22:43:45 v1.34.5 @ DESKTOP-RJPVCOL, lanczos halted after 2038 iterations (dim = 128752)
11/21/21 22:43:45 v1.34.5 @ DESKTOP-RJPVCOL, recovered 18 nontrivial dependencies
11/21/21 22:43:45 v1.34.5 @ DESKTOP-RJPVCOL, prp59 = 27076080424340179237284863246117231517317472730865088563641
11/21/21 22:43:45 v1.34.5 @ DESKTOP-RJPVCOL, prp44 = 21080257170012563986816175288003225762280539
11/21/21 22:43:45 v1.34.5 @ DESKTOP-RJPVCOL, Lanczos elapsed time = 44.2600 seconds.
11/21/21 22:43:45 v1.34.5 @ DESKTOP-RJPVCOL, Sqrt elapsed time = 0.3080 seconds.
11/21/21 22:43:45 v1.34.5 @ DESKTOP-RJPVCOL, SIQS elapsed time = 2124.3008 seconds.

76152393710368927493826847203220009771821943113140188174699521219805545676108521677730488747014707803933414582830730371327113841165306249<137>

18530918497479699025682280535023601<35>
15019475617309287622420037963908306391540713<44>
273609922447577450945279025831084369403712013375866271690673<60>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 76152393710368927493826847203220009771821943113140188174699521219805545676108521677730488747014707803933414582830730371327113841165306249 (137 digits)
Using B1=35740000, B2=192388936756, polynomial Dickson(12), sigma=1:2589109073
Step 1 took 71632ms
Step 2 took 26034ms
********** Factor found in step 2: 18530918497479699025682280535023601
Found prime factor of 35 digits: 18530918497479699025682280535023601
Composite cofactor 4109477558855274647575974133925161897082526902117240907779691757002282397377127006645584440355821869849 has 103 digits


CADO

STA:Sat 27 Nov 2021 05:22:22 AEDT (4,109,477,558,855,274,647,575,974,133,925,161,897,082,526,902,117,240,907,779,691,757,002,282,397,377,127,006,645,584,440,355,821,869,849 - C103)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 4109477558855274647575974133925161897082526902117240907779691757002282397377127006645584440355821869849 2>&1 | tee -a log104

Debug:root: Looking for parameter file for c103 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.2eb6__4w
Info:Database: Opened connection to database /tmp/cado.2eb6__4w/c105.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 4109477558855274647575974133925161897082526902117240907779691757002282397377127006645
584440355821869849
Debug:root: Root parameter dictionary:
N = 4109477558855274647575974133925161897082526902117240907779691757002282397377127006645584440355821869849
lim0 = 823116
lim1 = 1218966
lpb0 = 24
lpb1 = 24
name = c105
...
n: 4109477558855274647575974133925161897082526902117240907779691757002282397377127006645584440355821869849
skew: 1377952.189
c0: 31869159486450516508934534040
c1: 142265309390450187594989
c2: -51128653692815417
c3: -52574655102
c4: 19440
Y0: -5968063487108052077324014
Y1: 468072581354227
# MurphyE (Bf=1.22e+06,Bg=8.23e+05,area=2.56e+12) = 5.74e-09
# f(x) = 19440*x^4-52574655102*x^3-51128653692815417*x^2+142265309390450187594989*x+31869159486450516508934534040
# g(x) = 468072581354227*x-5968063487108052077324014
...
Info:Square Root: finished
Info:Square Root: Factors: 273609922447577450945279025831084369403712013375866271690673 15019475617309287622420037963908306391540713
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11429.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11690/34.090/39.052/40.870/0.687
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11690/33.960/37.876/39.880/1.038
Info:Polynomial Selection (size optimized): Total time: 233.28
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 76.39
Info:Polynomial Selection (root optimized): Rootsieve time: 76.06
Info:Generate Factor Base: Total cpu/real time for makefb: 0.78/0.291153
Info:Generate Free Relations: Total cpu/real time for freerel: 10.26/1.72395
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 1974569
Info:Lattice Sieving: Average J: 1024 for 158678 special-q, max bucket fill: 0.849462
Info:Lattice Sieving: Total CPU time: 12039.1s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 5.15/10.4485
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 9.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 33.82/36.4104
Info:Filtering - Singleton removal: Total cpu/real time for purge: 25.86/30.1644
Info:Filtering - Merging: Total cpu/real time for merge: 121.2/121.888
Info:Filtering - Merging: Total cpu/real time for replay: 12.73/14.2535
Info:Linear Algebra: Total cpu/real time for bwc: 3103.5/0.000249386
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 210.99
Info:Linear Algebra: Lingen CPU time 2094.32, WCT time 909.63
Info:Linear Algebra: Mksol: WCT time 128.33
Info:Quadratic Characters: Total cpu/real time for characters: 7.47/3.77867
Info:Square Root: Total cpu/real time for sqrt: 179.38/47.1138
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 15848.9/3275.8
Info:root: Cleaning up computation data in /tmp/cado.2eb6__4w
273609922447577450945279025831084369403712013375866271690673 15019475617309287622420037963908306391540713

END:Sat 27 Nov 2021 06:16:59 AEDT (4,109,477,558,855,274,647,575,974,133,925,161,897,082,526,902,117,240,907,779,691,757,002,282,397,377,127,006,645,584,440,355,821,869,849 - C103)

894811208416147785311697412928182836282659211839878670067633368686038258700182111555872432410781817244980633442720048115102251648029421503210823<144>

7915658495889985605087764855480028947323350783799866717467947<61>
113043180031169470295675244980502192792210738332286308111686340908949493715202701909<84>

P61 = 7915658495889985605087764855480028947323350783799866717467947
P84 = 113043180031169470295675244980502192792210738332286308111686340908949493715202701909

132422337293923265091731733722765888952679837257686655075838463628835562415109984769009129344599035293012804753065264108548543007493955073527864447<147>

946282792567697904763884223721787666583906633034988516287<57>
139939496241499767525856968587244001532744985149803709356012173652765651456604986636879681<90>

P57 = 946282792567697904763884223721787666583906633034988516287
P90 = 139939496241499767525856968587244001532744985149803709356012173652765651456604986636879681

25795045170623705134118806865019814271862929492465116700211632746328805757784215773616924074154750133365889<107>

18988685295077475396886241608069488597916287675449<50>
1358442923761060690613394687755284529674360927290057511561<58>

CADO

STA:Mon 22 Nov 2021 22:55:25 AEDT (25,795,045,170,623,705,134,118,806,865,019,814,271,862,929,492,465,116,700,211,632,746,328,805,757,784,215,773,616,924,074,154,750,133,365,889 - C107)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 25795045170623705134118806865019814271862929492465116700211632746328805757784215773616924074154750133365889 2>&1 | tee -a log80

Debug:root: Looking for parameter file for c107 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.p9w7jzy7
Info:Database: Opened connection to database /tmp/cado.p9w7jzy7/c105.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2579504517062370513411880686501981427186292949246511670021163274632880575778421577361
6924074154750133365889
Debug:root: Root parameter dictionary:
N = 25795045170623705134118806865019814271862929492465116700211632746328805757784215773616924074154750133365889
lim0 = 823116
lim1 = 1218966
lpb0 = 24
lpb1 = 24
name = c105
...
n: 25795045170623705134118806865019814271862929492465116700211632746328805757784215773616924074154750133365889
skew: 5796984.832
c0: 1601004731632460205257883536816
c1: -69435817465396325806249
c2: -176701097040297659
c3: 2213250361
c4: 1740
Y0: -62039639758124463116541867
Y1: 36543465257015597
# MurphyE (Bf=1.22e+06,Bg=8.23e+05,area=2.56e+12) = 3.18e-09
# f(x) = 1740*x^4+2213250361*x^3-176701097040297659*x^2-69435817465396325806249*x+1601004731632460205257883536816
# g(x) = 36543465257015597*x-62039639758124463116541867
...
Info:Square Root: finished
Info:Square Root: Factors: 18988685295077475396886241608069488597916287675449 1358442923761060690613394687755284529674360927290057511561
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11429.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11662/36.330/40.513/41.350/0.673
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11662/34.510/39.406/41.330/1.006
Info:Polynomial Selection (size optimized): Total time: 231.27
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 81.51
Info:Polynomial Selection (root optimized): Rootsieve time: 81.17
Info:Generate Factor Base: Total cpu/real time for makefb: 1.22/0.136971
Info:Generate Free Relations: Total cpu/real time for freerel: 12.94/0.836746
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2279672
Info:Lattice Sieving: Average J: 1024 for 328527 special-q, max bucket fill: 0.822917
Info:Lattice Sieving: Total CPU time: 22706.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 6.34/5.95793
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 5.3999999999999995s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 37.27/19.6063
Info:Filtering - Singleton removal: Total cpu/real time for purge: 29.5/17.6415
Info:Filtering - Merging: Total cpu/real time for merge: 94.15/72.4716
Info:Filtering - Merging: Total cpu/real time for replay: 10.03/7.74212
Info:Linear Algebra: Total cpu/real time for bwc: 2041.33/0.000421047
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 79.6
Info:Linear Algebra: Lingen CPU time 58.11, WCT time 6.01
Info:Linear Algebra: Mksol: WCT time 48.9
Info:Quadratic Characters: Total cpu/real time for characters: 9.29/2.19009
Info:Square Root: Total cpu/real time for sqrt: 148.28/21.5324
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 25410.1/1892.75
Info:root: Cleaning up computation data in /tmp/cado.p9w7jzy7
18988685295077475396886241608069488597916287675449 1358442923761060690613394687755284529674360927290057511561

END:Mon 22 Nov 2021 23:26:59 AEDT (25,795,045,170,623,705,134,118,806,865,019,814,271,862,929,492,465,116,700,211,632,746,328,805,757,784,215,773,616,924,074,154,750,133,365,889 - C107)

21342775109640544114786950588974728442615582506200642894697988914289590541893563837874843061787604328836857026451467155985134124578793319967<140>

4921819851582321714815718730196389584044668970879<49>
4336358451392533185448444030824851724524884949612990980538630426465698409338312406050130273<91>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 21342775109640544114786950588974728442615582506200642894697988914289590541893563837874843061787604328836857026451467155985134124578793319967 (140 digits)
Using B1=35330000, B2=192388936756, polynomial Dickson(12), sigma=1:3807158779
Step 1 took 71029ms
Step 2 took 26726ms
********** Factor found in step 2: 4921819851582321714815718730196389584044668970879
Found prime factor of 49 digits: 4921819851582321714815718730196389584044668970879
Prime cofactor 4336358451392533185448444030824851724524884949612990980538630426465698409338312406050130273 has 91 digits

917374087230732449989096686822393658818529016592977241443465241888516558938981298992371436326147952166315211260161913447141221<126>

3174746813463891259265851370340845536474309863983<49>
288959763134562296697844562129688631612251402239575347752216832497556559330987<78>

CADO

STA:Thu 25 Nov 2021 00:37:37 AEDT (917,374,087,230,732,449,989,096,686,822,393,658,818,529,016,592,977,241,443,465,241,888,516,558,938,981,298,992,371,436,326,147,952,166,315,211,260,161,913,447,141,221 - C126)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 917374087230732449989096686822393658818529016592977241443465241888516558938981298992371436326147952166315211260161913447141221 2>&1 | tee -a log101

Debug:root: Looking for parameter file for c126 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.6cu0gp7r
Info:Database: Opened connection to database /tmp/cado.6cu0gp7r/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 9173740872307324499890966868223936588185290165929772414434652418885165589389812989923
71436326147952166315211260161913447141221
Debug:root: Root parameter dictionary:
N = 917374087230732449989096686822393658818529016592977241443465241888516558938981298992371436326147952166315211260161913447141221
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
...
n: 917374087230732449989096686822393658818529016592977241443465241888516558938981298992371436326147952166315211260161913447141221
skew: 204427.63
c0: -4288274666521555012789716214521
c1: -58555466602512286360804811
c2: 381034934610857939235
c3: 64286330488803
c4: -4007786762
c5: 15960
Y0: -2250320647740979930418638
Y1: 35192825725659709
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 4.93e-10
# f(x) = 15960*x^5-4007786762*x^4+64286330488803*x^3+381034934610857939235*x^2-58555466602512286360804811*x-4288274666521555012789716214521
# g(x) = 35192825725659709*x-2250320647740979930418638
...
Info:Square Root: finished
Info:Square Root: Factors: 288959763134562296697844562129688631612251402239575347752216832497556559330987 3174746813463891259265851370340845536474309863983
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 688.54/97.9698
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 22063/37.200/44.867/49.470/0.865
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 22063/36.980/40.672/45.690/1.396
Info:Polynomial Selection (size optimized): Total time: 1757.89
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1141.53
Info:Polynomial Selection (root optimized): Rootsieve time: 1140.69
Info:Generate Factor Base: Total cpu/real time for makefb: 11.95/1.10139
Info:Generate Free Relations: Total cpu/real time for freerel: 149.64/10.1635
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13056682
Info:Lattice Sieving: Average J: 3829.53 for 271667 special-q, max bucket fill: 0.73441
Info:Lattice Sieving: Total CPU time: 186104s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 34.13/40.6692
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 188/56.5334
Info:Filtering - Singleton removal: Total cpu/real time for purge: 104.43/46.3127
Info:Filtering - Merging: Total cpu/real time for merge: 293.92/236.706
Info:Filtering - Merging: Total cpu/real time for replay: 26.58/20.375
Info:Linear Algebra: Total cpu/real time for bwc: 14213.1/0.000334501
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 593.61
Info:Linear Algebra: Lingen CPU time 175.14, WCT time 17.37
Info:Linear Algebra: Mksol: WCT time 319.97
Info:Quadratic Characters: Total cpu/real time for characters: 29.31/6.94811
Info:Square Root: Total cpu/real time for sqrt: 688.54/97.9698
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 204743/13922.5
Info:root: Cleaning up computation data in /tmp/cado.6cu0gp7r
288959763134562296697844562129688631612251402239575347752216832497556559330987 3174746813463891259265851370340845536474309863983

END:Thu 25 Nov 2021 04:29:40 AEDT (917,374,087,230,732,449,989,096,686,822,393,658,818,529,016,592,977,241,443,465,241,888,516,558,938,981,298,992,371,436,326,147,952,166,315,211,260,161,913,447,141,221 - C126)

3365422729699596442343650032767314081128640195518593684086120330542846384984783151370531777029041187631193915826979617717906424301910279080686188177212740322061<160>

419955236202349443890822417886106620228748440603296797680797<60>
8013765372074121432868435437221219861136160533719444693630571377816089612420761634566258619862136113<100>

P60 = 419955236202349443890822417886106620228748440603296797680797
P100 = 8013765372074121432868435437221219861136160533719444693630571377816089612420761634566258619862136113

56334967503691517623986465174299376946151680192079389218386847447984724758926942037295718008545886759561257769724604796749664982391963065506259247010509739070106374293<167>

753388789168873376259675503583781347362106207548668330961<57>
74775425800852923241125614886968370888323199523765035683979774077282629864137129353262354950708313418309223813<110>

Number: 98888_176
N=56334967503691517623986465174299376946151680192079389218386847447984724758926942037295718008545886759561257769724604796749664982391963065506259247010509739070106374293
  ( 167 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=753388789168873376259675503583781347362106207548668330961 (pp57)
 r2=74775425800852923241125614886968370888323199523765035683979774077282629864137129353262354950708313418309223813 (pp110)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 45.14 hours.
Scaled time: 141.79 units (timescale=3.141).
Factorization parameters were as follows:
n: 56334967503691517623986465174299376946151680192079389218386847447984724758926942037295718008545886759561257769724604796749664982391963065506259247010509739070106374293
m: 100000000000000000000000000000000000
deg: 5
c5: 445
c0: -4
skew: 0.39
# Murphy_E = 1.166e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3200000, 7500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1053311 x 1053536
Total sieving time: 43.97 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 0.62 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 45.14 hours.
 --------- CPU info (if available) ----------
[    0.091539] smpboot: CPU0: Intel(R) Core(TM) i5-9400F CPU @ 2.90GHz (family: 0x6, model: 0x9e, stepping: 0xa)
[    0.078469] Memory: 16251672K/16691600K available (18438K kernel code, 1746K rwdata, 4144K rodata, 1168K init, 992K bss, 439668K reserved, 0K cma-reserved)
[    0.088792] Calibrating delay loop (skipped), value calculated using timer frequency.. 5799.77 BogoMIPS (lpj=2899886)
[    0.093222] smpboot: Total of 6 processors activated (34798.63 BogoMIPS)

229897737484555632913109619556660188800219134191533977333548438765145124156801512289304949022389562372662793072020306695353102482606720332878813826111035962541<159>

625656645377706288634982851510250649984141396077469693454600111618451<69>
367450324683704645251722866228406961939547995525625050719570458651736021436732344864358591<90>

P69 = 625656645377706288634982851510250649984141396077469693454600111618451
P90 = 367450324683704645251722866228406961939547995525625050719570458651736021436732344864358591

312378032172831394483614543759599482224637009706884109855983197571734631702790202701754090397288699075361024768419072328500950471585532615074451267623034826289735187665490159741<177>

112205864895613774174928479307741858977802747298173082066691<60>
2783972410563741629936100084724572021113262924031836907266772316361147891440005546173203976114563496416249026920743551<118>

P60 = 112205864895613774174928479307741858977802747298173082066691
P118 = 2783972410563741629936100084724572021113262924031836907266772316361147891440005546173203976114563496416249026920743551

5168585869754220211997690623590026060221125965429181629658985858002941867628643841901247099249053790181419041614376542230362893432778518003298105339349347580223<160>

862861724476458161699518154777503349202881<42>
5990051155520037240581712429694842495854515148305080472987670005600453352384093839482370521413473663675372909926013183<118>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1493584998
Step 1 took 26000ms
Step 2 took 11859ms
********** Factor found in step 2: 862861724476458161699518154777503349202881
Found prime factor of 42 digits: 862861724476458161699518154777503349202881
Prime cofactor 5990051155520037240581712429694842495854515148305080472987670005600453352384093839482370521413473663675372909926013183 has 118 digits
 

GMP-ECM

30627685384648702045806487250637633152080538799086731502110581400562643073307973147267320762765255652999379498734186178661880169307776604776823696550855529121944467799720145713930313<182>

1850050533300596714261838500848029350929456227233<49>
16555053407112695006152654392671384869929437448468586978049834526471199305398905744685490690954408693699888987143531921889045634382761<134>

Number: n
N=30627685384648702045806487250637633152080538799086731502110581400562643073307973147267320762765255652999379498734186178661880169307776604776823696550855529121944467799720145713930313  ( 182 digits)
SNFS difficulty: 193 digits.
Divisors found:

Sun Dec 12 19:07:01 2021  p49 factor: 1850050533300596714261838500848029350929456227233
Sun Dec 12 19:07:01 2021  p134 factor: 16555053407112695006152654392671384869929437448468586978049834526471199305398905744685490690954408693699888987143531921889045634382761
Sun Dec 12 19:07:01 2021  elapsed time 00:55:21 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 89x10^192-8 = 98(192)
#
n: 30627685384648702045806487250637633152080538799086731502110581400562643073307973147267320762765255652999379498734186178661880169307776604776823696550855529121944467799720145713930313
m: 100000000000000000000000000000000000000
deg: 5
c5: 2225
c0: -2
skew: 0.25
# Murphy_E = 2.328e-11
type: snfs
lss: 1
rlim: 11700000
alim: 11700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11700000/11700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 33050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4869503 hash collisions in 35715707 relations (32865141 unique)
Msieve: matrix is 1465950 x 1466176 (501.9 MB)

Sieving start time : 2021/12/12 07:01:07
Sieving end time  : 2021/12/12 17:37:32

Total sieving time: 10hrs 36min 25secs.

Total relation processing time: 0hrs 40min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 41sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11700000,11700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118230] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153572] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.15 BogoMIPS (lpj=12798304)
[    0.152049] smpboot: Total of 16 processors activated (102386.43 BogoMIPS)

686873595192932157099747430159031047161679300533398518907046267003900792024409592755637913840627524769345564743805697754768018175557102043534900008574829253<156>

789385398485367441908715614620061024599089419617<48>
870137193455655856206433838418454041901965209400871638586597220320261047706294754033666540554349670085723109<108>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:643132796
Step 1 took 26140ms
Step 2 took 11719ms
********** Factor found in step 2: 789385398485367441908715614620061024599089419617
Found prime factor of 48 digits: 789385398485367441908715614620061024599089419617
Prime cofactor 870137193455655856206433838418454041901965209400871638586597220320261047706294754033666540554349670085723109 has 108 digits
 

GMP-ECM

49743228458205156820556961164650100563059627180907594067107445030045476713021994880071367349529092460727164827570297101127493608866646937139400871910716220739059873<164>

23206938293241383198552077815763264866335354409766768586493741238672649<71>
2143463641332299582153764077556814104738757776870657820194534351422112366638772815299335849177<94>

49743228458205156820556961164650100563059627180907594067107445030045476713021994880071367349529092460727164827570297101127493608866646937139400871910716220739059873=23206938293241383198552077815763264866335354409766768586493741238672649*2143463641332299582153764077556814104738757776870657820194534351422112366638772815299335849177

cado polynomial
n: 49743228458205156820556961164650100563059627180907594067107445030045476713021994880071367349529092460727164827570297101127493608866646937139400871910716220739059873
skew: 0.49
type: snfs
c0: -5
c6: 356
Y0: 500000000000000000000000000000000
Y1: -1
# f(x) = 356*x^6-5
# g(x) = -x+500000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14400000
tasks.lim1 = 14400000
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: 23206938293241383198552077815763264866335354409766768586493741238672649 2143463641332299582153764077556814104738757776870657820194534351422112366638772815299335849177
Info:Square Root: Total cpu/real time for sqrt: 763.48/231.022
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27863790
Info:Lattice Sieving: Average J: 1895.04 for 3173109 special-q, max bucket fill -bkmult 1.0,1s:1.212060
Info:Lattice Sieving: Total time: 697387s
Info:Generate Factor Base: Total cpu/real time for makefb: 9.28/3.61609
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 118.17/139.47
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 138.89999999999998s
Info:Generate Free Relations: Total cpu/real time for freerel: 184/47.0963
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 537.78/552.046
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 444.30000000000007s
Info:Filtering - Merging: Merged matrix has 2508965 rows and total weight 426606390 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 693.66/191.613
Info:Filtering - Merging: Total cpu/real time for replay: 97.91/86.6061
Info:Linear Algebra: Total cpu/real time for bwc: 109052/27919.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 69924.31, WCT time 17849.89, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (78848 iterations)
Info:Linear Algebra: Lingen CPU time 534.52, WCT time 135.58
Info:Linear Algebra: Mksol: CPU time 37697.25,  WCT time 9628.99, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39424 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 86.71/37.55
Info:Square Root: Total cpu/real time for sqrt: 763.48/231.022
Info:Filtering - Singleton removal: Total cpu/real time for purge: 424.59/499.174
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.41714e+06/378384
Info:root: Cleaning up computation data in /tmp/cado.d8zzjkvz
23206938293241383198552077815763264866335354409766768586493741238672649 2143463641332299582153764077556814104738757776870657820194534351422112366638772815299335849177

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)

207272123419392580519894500994022015474453560393389700089142227963691885841043399619676658922584136843142917261976068782930668358829933282040165119<147>

31406743404880400240332712789139864789841635141170895880170091<62>
6599605719935415627276419641644835707759106538421590641345328822483613556183076677309<85>

207272123419392580519894500994022015474453560393389700089142227963691885841043399619676658922584136843142917261976068782930668358829933282040165119=31406743404880400240332712789139864789841635141170895880170091*6599605719935415627276419641644835707759106538421590641345328822483613556183076677309

cado polynomial
n: 207272123419392580519894500994022015474453560393389700089142227963691885841043399619676658922584136843142917261976068782930668358829933282040165119
skew: 0.16
type: snfs
c0: -1
c5: 11125
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 11125*x^5-1
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14500000
tasks.lim1 = 14500000
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: 31406743404880400240332712789139864789841635141170895880170091 6599605719935415627276419641644835707759106538421590641345328822483613556183076677309
Info:Square Root: Total cpu/real time for sqrt: 908.28/277.094
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 31511854
Info:Lattice Sieving: Average J: 1893.82 for 4967683 special-q, max bucket fill -bkmult 1.0,1s:1.124210
Info:Lattice Sieving: Total time: 1.17185e+06s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.16/2.78904
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 136/160.31
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 159.60000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 589.25/613.297
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 494.6s
Info:Filtering - Merging: Merged matrix has 3018561 rows and total weight 513555731 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 869.65/239.336
Info:Filtering - Merging: Total cpu/real time for replay: 117.96/107.211
Info:Linear Algebra: Total cpu/real time for bwc: 164626/42237.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 105464.77, WCT time 26966.81, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (94720 iterations)
Info:Linear Algebra: Lingen CPU time 655.55, WCT time 166.48
Info:Linear Algebra: Mksol: CPU time 57355.9,  WCT time 14680.07, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47616 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 103.06/45.2213
Info:Square Root: Total cpu/real time for sqrt: 908.28/277.094
Info:Filtering - Singleton removal: Total cpu/real time for purge: 469.57/551.084
Info:Generate Free Relations: Total cpu/real time for freerel: 117.9/31.4232
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.36742e+06/630844
Info:root: Cleaning up computation data in /tmp/cado.tlyr8s9y
31406743404880400240332712789139864789841635141170895880170091 6599605719935415627276419641644835707759106538421590641345328822483613556183076677309

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)

12964809722244125983719908756392511247823866672521298236403035456319311349223731185966487172046485751270154205821280403501520237798959423549328017299707287516630115100647062617897045033<185>

14227264348991561568431572289957283742703693430653<50>
911265117749996734249668598971298923213753825113019039254203328302630502470704710005893833028698085684727868958173375469790698541938461<135>

Number: n
N=12964809722244125983719908756392511247823866672521298236403035456319311349223731185966487172046485751270154205821280403501520237798959423549328017299707287516630115100647062617897045033  ( 185 digits)
SNFS difficulty: 200 digits.
Divisors found:

Sun Dec 12 06:57:35 2021  p50 factor: 14227264348991561568431572289957283742703693430653
Sun Dec 12 06:57:35 2021  p135 factor: 911265117749996734249668598971298923213753825113019039254203328302630502470704710005893833028698085684727868958173375469790698541938461
Sun Dec 12 06:57:35 2021  elapsed time 01:27:29 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 89x10^199-8 = 98(199)
#
n: 12964809722244125983719908756392511247823866672521298236403035456319311349223731185966487172046485751270154205821280403501520237798959423549328017299707287516630115100647062617897045033
m: 1000000000000000000000000000000000
deg: 6
c6: 445
c0: -4
skew: 0.46
# Murphy_E = 1.306e-11
type: snfs
lss: 1
rlim: 15500000
alim: 15500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15500000/15500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10790366 hash collisions in 71219567 relations (62604338 unique)
Msieve: matrix is 1839479 x 1839709 (625.0 MB)

Sieving start time : 2021/12/11 16:25:22
Sieving end time  : 2021/12/12 04:26:51

Total sieving time: 12hrs 1min 29secs.

Total relation processing time: 1hrs 3min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 37sec.

Prototype def-par.txt line would be:
snfs,200,6,0,0,0,0,0,0,0,0,15500000,15500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118230] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153572] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.15 BogoMIPS (lpj=12798304)
[    0.152049] smpboot: Total of 16 processors activated (102386.43 BogoMIPS)

1735379911710109660411499524232923081722744786060804592322211302977833933891774689191507947650022618434804311541641318420765283042413464988222814981203300731589374015318139984713057856396337373453757<199>

10736628357022428906767094031417816343343817333796381146051841204195907678145781651701212735157091<98>
161631738941123193914067392763419504795379569371767311615508414802178980538259118265117297636067935327<102>

Number: n
N=1735379911710109660411499524232923081722744786060804592322211302977833933891774689191507947650022618434804311541641318420765283042413464988222814981203300731589374015318139984713057856396337373453757  ( 199 digits)
SNFS difficulty: 203 digits.
Divisors found:

Fri Dec 10 15:29:11 2021  p98 factor: 10736628357022428906767094031417816343343817333796381146051841204195907678145781651701212735157091
Fri Dec 10 15:29:11 2021  p102 factor: 161631738941123193914067392763419504795379569371767311615508414802178980538259118265117297636067935327
Fri Dec 10 15:29:11 2021  elapsed time 01:53:42 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 89x10^202-8 = 98(202)
#
n: 1735379911710109660411499524232923081722744786060804592322211302977833933891774689191507947650022618434804311541641318420765283042413464988222814981203300731589374015318139984713057856396337373453757
m: 10000000000000000000000000000000000000000
deg: 5
c5: 2225
c0: -2
skew: 0.25
# Murphy_E = 8.908e-12
type: snfs
lss: 1
rlim: 17100000
alim: 17100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17100000/17100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 11174868 hash collisions in 69575347 relations (60946701 unique)
Msieve: matrix is 2224084 x 2224312 (759.4 MB)

Sieving start time : 2021/12/09 21:57:22
Sieving end time  : 2021/12/10 13:33:49

Total sieving time: 15hrs 36min 27secs.

Total relation processing time: 1hrs 33min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 3sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17100000,17100000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118965] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.154164] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120)
[    0.152035] smpboot: Total of 16 processors activated (102384.96 BogoMIPS)

16205568533191372464416413601058713340163973885878461319219364999915358373818354165227782157303831602457899618916210094070252336944731970549666731946401056409146922790093994633410500444819724881<194>

359724975653544439442247173384478823764658700363928696595889476500777929<72>
45049884300497264840479416911935135798905100710486126694233345720863935095527651315650514075700336461603509705890376674889<122>

Number: n
N=16205568533191372464416413601058713340163973885878461319219364999915358373818354165227782157303831602457899618916210094070252336944731970549666731946401056409146922790093994633410500444819724881  ( 194 digits)
SNFS difficulty: 205 digits.
Divisors found:

Wed Nov  8 19:23:58 2023  prp72 factor: 359724975653544439442247173384478823764658700363928696595889476500777929
Wed Nov  8 19:23:58 2023  prp122 factor: 45049884300497264840479416911935135798905100710486126694233345720863935095527651315650514075700336461603509705890376674889
Wed Nov  8 19:23:58 2023  elapsed time 02:59:48 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.104).
Factorization parameters were as follows:
#
# N = 89x10^204-8 = 98(204)
#
n: 16205568533191372464416413601058713340163973885878461319219364999915358373818354165227782157303831602457899618916210094070252336944731970549666731946401056409146922790093994633410500444819724881
m: 50000000000000000000000000000000000000000
deg: 5
c5: 178
c0: -5
skew: 0.49
# Murphy_E = 7.975e-12
type: snfs
lss: 1
rlim: 18800000
alim: 18800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18800000/18800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3639204 hash collisions in 20015565 relations (16750300 unique)
Msieve: matrix is 2354412 x 2354637 (663.7 MB)

Sieving start time: 2023/11/07 20:10:32
Sieving end time  : 2023/11/08 16:23:45

Total sieving time: 20hrs 13min 13secs.

Total relation processing time: 2hrs 46min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 12sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18800000,18800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

334036007013876512438854704522993535347632685710269627371006306599195400147755320772855836858348311032434357172230136915447538947213383820821957430628620122959826587110530321<174>

163053940783409871638962819887897489017770364351<48>
80275332629045784046917139234546270256741538221401622381<56>
25519953002444864106662418627317224285614792544915353973635334545130891<71>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 334036007013876512438854704522993535347632685710269627371006306599195400147755320772855836858348311032434357172230136915447538947213383820821957430628620122959826587110530321 (174 digits)
Using B1=17230000, B2=58559766730, polynomial Dickson(12), sigma=1:3456755516
Step 1 took 44277ms
Step 2 took 17296ms
********** Factor found in step 2: 163053940783409871638962819887897489017770364351
Found prime factor of 48 digits: 163053940783409871638962819887897489017770364351
Composite cofactor 2048622715948877123120615714254578020582324729976757066436540144648133953523033354038068692465996570167763535410031931400071471 has 127 digits


CADO:


STA:Sat 28 May 2022 07:40:04 AEST (2,048,622,715,948,877,123,120,615,714,254,578,020,582,324,729,976,757,066,436,540,144,648,133,953,523,033,354,038,068,692,465,996,570,167,763,535,410,031,931,400,071,471 - C127)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2048622715948877123120615714254578020582324729976757066436540144648133953523033354038068692465996570167763535410031931400071471 2>&1 | tee -a log160

Debug:root: Looking for parameter file for c127 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.7z6zf502
Info:Database: Opened connection to database /tmp/cado.7z6zf502/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2048622715948877123120615714254578020582324729976757066436540144648133953523033354038068692465996570167763535410031931400071471
Debug:root: Root parameter dictionary:
N = 2048622715948877123120615714254578020582324729976757066436540144648133953523033354038068692465996570167763535410031931400071471
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 2048622715948877123120615714254578020582324729976757066436540144648133953523033354038068692465996570167763535410031931400071471
skew: 95732.737
c0: -1529276286442215673702158088116
c1: -25793741960112772968066119
c2: 1171805707002591627966
c3: 6204773672060951
c4: -54932000898
c5: 133560
Y0: -2484943187496202658210774
Y1: 174792218993508419
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 4.78e-10
# f(x) = 133560*x^5-54932000898*x^4+6204773672060951*x^3+1171805707002591627966*x^2-25793741960112772968066119*x-1529276286442215673702158088116
# g(x) = 174792218993508419*x-2484943187496202658210774
===
Info:Square Root: finished
Info:Square Root: Factors: 80275332629045784046917139234546270256741538221401622381 25519953002444864106662418627317224285614792544915353973635334545130891
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1097.16/167.809
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21809/37.300/45.003/48.130/0.846
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21809/37.130/40.802/45.820/1.407
Info:Polynomial Selection (size optimized): Total time: 1760.37
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1113.14
Info:Polynomial Selection (root optimized): Rootsieve time: 1112.27
Info:Generate Factor Base: Total cpu/real time for makefb: 12.46/1.22147
Info:Generate Free Relations: Total cpu/real time for freerel: 149.41/9.98955
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13058801
Info:Lattice Sieving: Average J: 3802.31 for 275992 special-q, max bucket fill: 0.729143
Info:Lattice Sieving: Total CPU time: 192273s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 35.59/61.4373
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 61.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 200.43/84.1919
Info:Filtering - Singleton removal: Total cpu/real time for purge: 111.56/72.8729
Info:Filtering - Merging: Total cpu/real time for merge: 392.7/368.715
Info:Filtering - Merging: Total cpu/real time for replay: 33.87/28.2393
Info:Linear Algebra: Total cpu/real time for bwc: 17140.6/0.000267744
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1034.76
Info:Linear Algebra: Lingen CPU time 6047.52, WCT time 794.52
Info:Linear Algebra: Mksol: WCT time 572.62
Info:Quadratic Characters: Total cpu/real time for characters: 27.92/9.39092
Info:Square Root: Total cpu/real time for sqrt: 1097.16/167.809
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 214348/16304.6
Info:root: Cleaning up computation data in /tmp/cado.7z6zf502
80275332629045784046917139234546270256741538221401622381 25519953002444864106662418627317224285614792544915353973635334545130891

END:Sat 28 May 2022 12:11:50 AEST (2,048,622,715,948,877,123,120,615,714,254,578,020,582,324,729,976,757,066,436,540,144,648,133,953,523,033,354,038,068,692,465,996,570,167,763,535,410,031,931,400,071,471 - C127)

3780693560529758658535212418121393119068611542182243768048179654041538753557180146242372232080788505652495733819899295699934312382534104864865168829732082297961515367621875316054478889509986331<193>

2252545213794173554810956009324768700605214183907<49>
7783941088874076653574600830924451418083768734209457<52>
215624656290012477957725835352841368032215300825391178292439635324193310808615135434781850169<93>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3780693560529758658535212418121393119068611542182243768048179654041538753557180146242372232080788505652495733819899295699934312382534104864865168829732082297961515367621875316054478889509986331 (193 digits)
Using B1=43380000, B2=240490660426, polynomial Dickson(12), sigma=1:1216055956
Step 1 took 126257ms
Step 2 took 41157ms
********** Factor found in step 2: 2252545213794173554810956009324768700605214183907
Found prime factor of 49 digits: 2252545213794173554810956009324768700605214183907
Composite cofactor 1678409621870178249205984067575670585654924273680245613936174469638908509755875399874877558344356197161522936815794932670045905219597918036848233 has 145 digits


GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1678409621870178249205984067575670585654924273680245613936174469638908509755875399874877558344356197161522936815794932670045905219597918036848233 (145 digits)
Using B1=45170000, B2=240492732496, polynomial Dickson(12), sigma=1:3427539229
Step 1 took 88678ms
Step 2 took 31123ms
********** Factor found in step 2: 7783941088874076653574600830924451418083768734209457
Found prime factor of 52 digits: 7783941088874076653574600830924451418083768734209457
Prime cofactor 215624656290012477957725835352841368032215300825391178292439635324193310808615135434781850169 has 93 digits

180890002335366694076742305663071975512687823606880330251676762931819492706856078246261024532078844595564351888352791005067363442304954613897100860862314976674834222145949<171>

349093046634440724537989021722286816141486560043945267940740164344480969655416501449<84>
518171313004664409211009963052298280245912130005393891750496904166229350093590511080501<87>

09/27/24 16:29:59 v1.34.5 @ RYZEN-9,
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, ****************************
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, Starting factorization of 88999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, using pretesting plan: normal
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, ****************************
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, div: found prime factor = 2
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, div: found prime factor = 2
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, div: found prime factor = 2
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, div: found prime factor = 3
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, div: found prime factor = 3
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, div: found prime factor = 3
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, div: found prime factor = 3
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, div: found prime factor = 103
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C205
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C205
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, prp5 = 76003
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C200
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, prp6 = 464941
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C194
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C194
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C194
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 59.69
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C194 input, B1=2K, B2=gmp-ecm default
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
09/27/24 16:29:59 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 59.69
09/27/24 16:30:02 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C194 input, B1=11K, B2=gmp-ecm default
09/27/24 16:30:02 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
09/27/24 16:30:02 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 59.69
09/27/24 16:30:34 v1.34.5 @ RYZEN-9, prp24 = 208609763726440680971659 (curve 213 stg2 B1=50000 sigma=3044726382 thread=0)
09/27/24 16:30:34 v1.34.5 @ RYZEN-9, Finished 213 curves using Lenstra ECM method on C194 input, B1=50K, B2=gmp-ecm default
09/27/24 16:30:34 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 25.33
09/27/24 16:30:34 v1.34.5 @ RYZEN-9, scheduled 1 curves at B1=50000 toward target pretesting depth of 52.62
09/27/24 16:30:34 v1.34.5 @ RYZEN-9, Finished 1 curves using Lenstra ECM method on C171 input, B1=50K, B2=gmp-ecm default
09/27/24 16:30:34 v1.34.5 @ RYZEN-9, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C171
09/27/24 16:30:35 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 25.33
09/27/24 16:30:35 v1.34.5 @ RYZEN-9, scheduled 430 curves at B1=250000 toward target pretesting depth of 52.62
09/27/24 16:31:16 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c209: 88999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992
09/27/24 16:31:16 v1.34.5 @ RYZEN-9, nfs: input divides 89*10^207 - 8
09/27/24 16:31:16 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 180890002335366694076742305663071975512687823606880330251676762931819492706856078246261024532078844595564351888352791005067363442304954613897100860862314976674834222145949
09/27/24 16:31:16 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c171: 180890002335366694076742305663071975512687823606880330251676762931819492706856078246261024532078844595564351888352791005067363442304954613897100860862314976674834222145949
09/27/24 16:31:16 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 180890002335366694076742305663071975512687823606880330251676762931819492706856078246261024532078844595564351888352791005067363442304954613897100860862314976674834222145949
# 89*10^207-8, difficulty: 210.95, anorm: -2.26e+026, rnorm: 2.02e+047
# scaled difficulty: 214.44, suggest sieving rational side
# size = 1.231e-014, alpha = 1.145, combined = 5.473e-012, rroots = 1
type: snfs
size: 210
skew: 0.2459
c5: 2225
c0: -2
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 180890002335366694076742305663071975512687823606880330251676762931819492706856078246261024532078844595564351888352791005067363442304954613897100860862314976674834222145949
# 89*10^207-8, difficulty: 211.95, anorm: -5.97e+032, rnorm: 2.17e+040
# scaled difficulty: 213.21, suggest sieving rational side
# size = 1.738e-010, alpha = 0.114, combined = 4.932e-012, rroots = 2
type: snfs
size: 211
skew: 0.2116
c6: 11125
c0: -1
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
n: 180890002335366694076742305663071975512687823606880330251676762931819492706856078246261024532078844595564351888352791005067363442304954613897100860862314976674834222145949
# 89*10^207-8, difficulty: 209.85, anorm: -1.34e+027, rnorm: 2.85e+047
# scaled difficulty: 213.24, suggest sieving rational side
# size = 8.704e-015, alpha = 0.105, combined = 4.467e-012, rroots = 1
type: snfs
size: 209
skew: 0.4918
c5: 2225
c0: -64
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
09/27/24 16:31:18 v1.34.5 @ RYZEN-9, test: fb generation took 1.8914 seconds
09/27/24 16:31:18 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 22600000-22602000
skew: 0.2459
c5: 2225
c0: -2
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
09/27/24 16:34:27 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
09/27/24 16:34:29 v1.34.5 @ RYZEN-9, test: fb generation took 2.6719 seconds
09/27/24 16:34:29 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 22600000-22602000
skew: 0.2116
c6: 11125
c0: -1
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
09/27/24 16:37:32 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
09/27/24 16:37:34 v1.34.5 @ RYZEN-9, test: fb generation took 1.7818 seconds
09/27/24 16:37:34 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the rational side over range 21400000-21402000
skew: 0.4918
c5: 2225
c0: -64
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
09/27/24 16:40:44 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
09/27/24 16:40:44 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 180890002335366694076742305663071975512687823606880330251676762931819492706856078246261024532078844595564351888352791005067363442304954613897100860862314976674834222145949
# 89*10^207-8, difficulty: 209.85, anorm: -1.34e+027, rnorm: 2.85e+047
# scaled difficulty: 213.24, suggest sieving rational side
# size = 8.704e-015, alpha = 0.105, combined = 4.467e-012, rroots = 1
type: snfs
size: 209
skew: 0.4918
c5: 2225
c0: -64
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
09/29/24 02:39:17 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/29/24 02:41:27 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22120221
09/29/24 04:36:36 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/29/24 04:38:53 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23235768
09/29/24 06:46:47 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/29/24 06:49:09 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24467759
09/29/24 09:09:03 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/29/24 09:11:31 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 25796968
09/29/24 11:31:37 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/29/24 11:34:11 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 27114082
09/29/24 14:06:02 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/29/24 14:10:59 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
09/29/24 19:43:05 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
09/29/24 19:51:31 v1.34.5 @ RYZEN-9, prp84 = 349093046634440724537989021722286816141486560043945267940740164344480969655416501449
09/29/24 19:51:31 v1.34.5 @ RYZEN-9, prp87 = 518171313004664409211009963052298280245912130005393891750496904166229350093590511080501
09/29/24 19:51:32 v1.34.5 @ RYZEN-9, NFS elapsed time = 184815.2790 seconds.
09/29/24 19:51:32 v1.34.5 @ RYZEN-9,
09/29/24 19:51:32 v1.34.5 @ RYZEN-9,
09/27/24 16:40:44 v1.34.5 @ RYZEN-9, test: test sieving took 567.99 seconds

YAFU

2589690187201474236537499014599709509893177292826311196750614200135965559574329467324014882062409729230162698672160039778354041419701788500127538393740420304582630495387888777<175>

9365954691518008353477827057162131<34>
276500396649019484492547214857955494067426669579620916130486215664063542821712496693159154964733937846867121748511103550947192270040100046067<141>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2679890139
Step 1 took 6982ms
Step 2 took 3309ms
********** Factor found in step 2: 9365954691518008353477827057162131
Found prime factor of 34 digits: 9365954691518008353477827057162131
Prime cofactor 276500396649019484492547214857955494067426669579620916130486215664063542821712496693159154964733937846867121748511103550947192270040100046067 has 141 digits

1865889845027701301790057418400800566084390529095670522117149932989848111994122343147483781406574117899841942698865489577739811843205332176042107593197024180911<160>

136945282667346191163670561960644864254747506163043808942341009939428397212589617578044415637859295331715655428665952161579149596141093181114681044768925025647203920323<168>

648863386241718770361609217716155214142271564576836563769692740634936269357610799402884993666052159781776838781913379603225956258195494401997684282059791520020690494760194693691995962948221769803905497<201>

259465309612949940321199953622371116899561778330047600037802298208149485552173876746056451193095892221132497975122443080539201217884961509676055465724006583815264841197808151154020545726406677109<195>

77397035772981428933606338651683031754047933<44>
3352393370387019638825865878344152898574745662408932284496953265046147715211106661016930811394688989113024455596851175891962047584087366806999767266073<151>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2567447780
Step 1 took 25052ms
Step 2 took 10646ms
********** Factor found in step 2: 77397035772981428933606338651683031754047933
Found prime factor of 44 digits: 77397035772981428933606338651683031754047933
Prime cofactor 3352393370387019638825865878344152898574745662408932284496953265046147715211106661016930811394688989113024455596851175891962047584087366806999767266073 has 151 digits

901608228052547813762400304187592727389525454759703216679780575408923884681568648175793467931944752121744483383883985968871779319163113814183779047811877882418322792229056837197608566888172897<192>

328423437736882541558962801947004863577108279904280540444135063961451711563738236731299<87>
2745261526599310641761118024756121968962181895858732800907268307949189690900559676305333545662758269321003<106>

Number: 98888_219
N = 901608228052547813762400304187592727389525454759703216679780575408923884681568648175793467931944752121744483383883985968871779319163113814183779047811877882418322792229056837197608566888172897 (192 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=328423437736882541558962801947004863577108279904280540444135063961451711563738236731299 (pp87)
r2=2745261526599310641761118024756121968962181895858732800907268307949189690900559676305333545662758269321003 (pp106)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 27.81 hours.
Factorization parameters were as follows:
n: 901608228052547813762400304187592727389525454759703216679780575408923884681568648175793467931944752121744483383883985968871779319163113814183779047811877882418322792229056837197608566888172897
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 89
c0: -80
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: 30996571
Relations: 7992678 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 9.27 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 6856341 x 6856566
Matrix solve time: 18.04 hours.
time per square root: 0.25 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: 27.81 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

651041680678342280041512032449202385295159655891649844163766551686411467421870726729094964753214548276607337177233207607526463577164047947749820903968612112728717133771627534039778119295335635112830843<201>

24339805695797469005093162006066645218583260044110651555586349<62>
26748022922416002500194316003372927780947952553433612198103811690997981085457427568131816760037962638924463854145770910913244502010237633607<140>

Number: 98888_220
N = 651041680678342280041512032449202385295159655891649844163766551686411467421870726729094964753214548276607337177233207607526463577164047947749820903968612112728717133771627534039778119295335635112830843 (201 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=24339805695797469005093162006066645218583260044110651555586349 (pp62)
r2=26748022922416002500194316003372927780947952553433612198103811690997981085457427568131816760037962638924463854145770910913244502010237633607 (pp140)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 26.27 hours.
Factorization parameters were as follows:
n: 651041680678342280041512032449202385295159655891649844163766551686411467421870726729094964753214548276607337177233207607526463577164047947749820903968612112728717133771627534039778119295335635112830843
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 89
c0: -8
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: 30437284
Relations: 7786700 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 8.70 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 6688187 x 6688412
Matrix solve time: 17.19 hours.
time per square root: 0.12 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: 26.27 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

1908573074562628329704080538832861886790250923742290387854588891949348728952512743037792821416081638614871355442871175745866789399<130>

45336891812227675195204076471273416435020098956974587493354491<62>
42097572159719005942713760269766657849427601524761454358366104656789<68>

1908573074562628329704080538832861886790250923742290387854588891949348728952512743037792821416081638614871355442871175745866789399=45336891812227675195204076471273416435020098956974587493354491*42097572159719005942713760269766657849427601524761454358366104656789

cado polynomial
n: 1908573074562628329704080538832861886790250923742290387854588891949348728952512743037792821416081638614871355442871175745866789399
skew: 82644.954
c0: 632512350594304033450307266080
c1: 15776466544402047068498134
c2: -754537423778335277223
c3: -3252857841277357
c4: 40013562510
c5: 201960
Y0: -11119162976484094172324581
Y1: 45968070824329727
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.970e-07
# f(x) = 201960*x^5+40013562510*x^4-3252857841277357*x^3-754537423778335277223*x^2+15776466544402047068498134*x+632512350594304033450307266080
# g(x) = 45968070824329727*x-11119162976484094172324581

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 42097572159719005942713760269766657849427601524761454358366104656789 45336891812227675195204076471273416435020098956974587493354491
Info:Square Root: Total cpu/real time for sqrt: 1472.69/399.564
Info:Linear Algebra: Total cpu/real time for bwc: 51357.2/13187.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 32859.13, WCT time 8401.09, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55552 iterations)
Info:Linear Algebra: Lingen CPU time 349.03, WCT time 88.72
Info:Linear Algebra: Mksol: CPU time 17821.87,  WCT time 4571.42, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27904 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5305.77
Info:Polynomial Selection (root optimized): Rootsieve time: 5303.3
Info:Generate Factor Base: Total cpu/real time for makefb: 40.56/10.7666
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 102.42/122.722
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 122.5s
Info:Filtering - Merging: Merged matrix has 1774892 rows and total weight 303431325 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 451.43/127.41
Info:Filtering - Merging: Total cpu/real time for replay: 71.29/60.2756
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 344.86/316.445
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 277.4s
Info:Quadratic Characters: Total cpu/real time for characters: 69.13/28.8015
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38689/38.080/46.144/49.860/0.855
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30647/37.880/41.411/46.940/0.970
Info:Polynomial Selection (size optimized): Total time: 4845.3
Info:Generate Free Relations: Total cpu/real time for freerel: 252.34/64.5173
Info:Square Root: Total cpu/real time for sqrt: 1472.69/399.564
Info:Filtering - Singleton removal: Total cpu/real time for purge: 207.93/233.116
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23860233
Info:Lattice Sieving: Average J: 7791.72 for 62347 special-q, max bucket fill -bkmult 1.0,1s:1.073960
Info:Lattice Sieving: Total time: 88553.4s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 231000/62243.1
Info:root: Cleaning up computation data in /tmp/cado.85fbfu3v
42097572159719005942713760269766657849427601524761454358366104656789 45336891812227675195204076471273416435020098956974587493354491

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)

21275578504494167144769554408108624976094855612927902084528590552686938229106903805698986421877988143048384012239433926180914132721361637024287626697265251482118951998470070759227385733409829795371964046662841843564735131<221>

3351474697771436965993236563369865438738852375734905418152604769091937098664051185814230103866199456850406433015760939632634056536664857740056382671930964774875162305514154125850449255643960188771803615547761458182801<217>

2610044081409157142130297702820941885568623052707429509000353796304503733261642104544805556980446370532166885520252191324164667769926834727108668597259822123544334645021528369813154943<184>

30879424105533954453024341709716587217659986345419964231426005117118749592793694847827112119593074333039559744991784982508279503693016828875188708366935549730247501086122891309191079333313133195326558126599947<209>

481663424009793698944015438210675198598769390547501326980866576738785199445921112695475673827128055385694572594463331975875557358525034463274155884403499812745078794808973152083943770381850058093682544942894244395269<216>

1072299399867526210433059045275139176345075813781548106295620570103417137600178609065626071344523530970538693412965278084694177146864385368371712717185902226985006020998292818284131540733<187>

123611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<234>

1029323173520386103979867641530548507583174169900591900147232536271729474810171989030792075516144274747219046355441899772512639394645095383793207170232843542044914019363118661393201174714493508694843197302608892445489589124721863<229>

4435717112254952119452324145676107909538884561505567301512808227523561778013053405862579757448514557272740316988223942957217181661962127511715639438603978330784980423019063<172>

95972130688425159645254875662903219329602448110905753784749246491508580538362657318518400976741319415392656063438440710818344231487238177437119105478830521372808073215730450858343978348558261133971728714698431308367019721582461<227>

13389557819475928470501812513012003449831670569<47>
7167684846831001563716656055962741107821801197988394683783215807100191343129410619812997163451755210970284606923577902053768701422773029626898579343789218455044401789361131182882869<181>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 95972130688425159645254875662903219329602448110905753784749246491508580538362657318518400976741319415392656063438440710818344231487238177437119105478830521372808073215730450858343978348558261133971728714698431308367019721582461 (227 digits)
Using B1=50100000, B2=288591693406, polynomial Dickson(12), sigma=1:1587891922
Step 1 took 188514ms
********** Factor found in step 1: 13389557819475928470501812513012003449831670569
Found prime factor of 47 digits: 13389557819475928470501812513012003449831670569
Prime cofactor 7167684846831001563716656055962741107821801197988394683783215807100191343129410619812997163451755210970284606923577902053768701422773029626898579343789218455044401789361131182882869 has 181 digits

125950443140631897578242825622204120561477791639674283002955485166796612183449545128230096226813024320878235568559770606909162889640168943488842005383790650557395976171248671194130613604880031165647915861731631<210>

514839536237804837119324727594519061296042324310620456687509229944650409917820114569004409982367047318508344357738056951022959682435899086886163346790698618104149302245043982975784862107204863587<195>

555158322628774417089220994634434481277856884975923174658033574724123202865553265029734910953498869201487001254251902578916933298089637336393550502434423911679388154585788478051420618634987965668870869495681771140012389149941<225>

51764105976871406336356916565523694754313254906308658987709619835941214560498699352856262182241568705257199090683163592045597861860623307135710196720778518072351792155404914811709323624461787429047922878850277444911649717<221>

279865956167330708053351551842165105906606238714852872359090051228360989918455214235518465728945176467143908613871607198149800807059848779399126575889304747387907655662714003197448476169455073016764853<201>

4583888056803451429058562792838003384908464228699482857605680613973029669457163483824336495609381135829001354164798763235170525271700287010850832522355964081477365782117908320110912118490639792611959207253801378369<214>

731950544605860262083712347775241831723017285141<48>
6262565265624301518260870149631835704418483830389746396699868686138607760522475679749514867598591086051823498883944199805613040173819132348854350377257767732774378109<166>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1700311427
Step 1 took 76745ms
Step 2 took 29333ms
********** Factor found in step 2: 731950544605860262083712347775241831723017285141
Found prime factor of 48 digits: 731950544605860262083712347775241831723017285141
Prime cofactor 6262565265624301518260870149631835704418483830389746396699868686138607760522475679749514867598591086051823498883944199805613040173819132348854350377257767732774378109 has 166 digits

16017672146821275444277997578469368442491928486546211106214273104457148902434767543464371476735365678563412920991363746412691272644121567396294153346617174936285104005364337634404244024920777023802743156826912364994400959609445377<230>

648348843861058026619075175257379598335983811813583037424142757932834161091943649675337231106946464539647480972582072878885648970201213110309531344103438631034510276920685927269189842339065469289723736443846619719573<216>

4685961408496230764479594321853190210065261668701843026850347010869963435076814828990401231352820088877546715747736569637028242592954518673850741995216492750719258912456688184924463168020683<190>

24638109510153877879139010217041744543448951<44>
190191597556015753126572350348145999345722459102043809931124967179757375640827089683738206521518311468573860077276332576187570908111160006495520333<147>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2852898161
Step 1 took 42276ms
Step 2 took 15184ms
********** Factor found in step 2: 24638109510153877879139010217041744543448951
Found probable prime factor of 44 digits: 24638109510153877879139010217041744543448951
Probable prime cofactor 190191597556015753126572350348145999345722459102043809931124967179757375640827089683738206521518311468573860077276332576187570908111160006495520333 has 147 digits

963971385343423795874098491794198997833685518654297679042846166890178054396407042527991346179757571377856940407678879079342773407629749032107742280235536551672028947042574781867355977692705678350346453482120258744650175434127221174201196988180801<246>

2332914606092317685779914144590432054338116990984890302402372970697453875452527503904612282478544090002683763992829671098820666895629915368505586971894267377903443552025445792667774584064864579989991471304570524041045700106949822651412244483386189<247>

2383854145345965904544561664696442326104315169462072235733277207238665821474237293908821020884868159719776473326661266048196361046605698596653884357062721706059957590057286912424753878935054427569223975872033217<211>

133325707833662904992148431888566804687357709424611526982607168086733219922960764161857477579501162737139069306853428552725321221984108377568693897606435854223428098302977646461046449912456649754213226819486266776043872110044083641530771<237>

237996618762310926415803676482139871001267157035939820776542015881136355401261860405567505765285812376197709829198386116289349409832983151397412342765060050889401076579666035364020030830200333136431166512138622153<213>

3007009935513220155772619214039718896260858390835329121160992334460557991462672286140665176737685860555622346730195639286686339478813140248870273590710745091571667175121147380274100457218876283475605177767883<208>

2007982956026479188996496459117702426463289010782568914017329889691959583833120029669219928893765678810910913118955372239614113481812474965050139402975970842891439356168639974581157174896568644386002921863515767589413942032564524579<232>

1080789580127750037795311345236099230403308721682738383838174748432688728589258694169950658032079766190073940059896615076204100028500160190923821999823195181402848113032997532545680298739189344795259972533<205>

179517837633591904826935594182850646506339639<45>
6020513584470168096858340217678784765708052958642349397777560675822139231744271355223555456326838514741161426894211777859492194669843839237319539452518712210547<160>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4065681526
Step 1 took 35110ms
********** Factor found in step 1: 179517837633591904826935594182850646506339639
Found prime factor of 45 digits: 179517837633591904826935594182850646506339639
Prime cofactor 6020513584470168096858340217678784765708052958642349397777560675822139231744271355223555456326838514741161426894211777859492194669843839237319539452518712210547 has 160 digits

137345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679<261>

2919825348458209499526852999690763606189846519972196898499918753863868103412386419635002196730633545830031017862119734796270366717387684663844888115239725890876764490227954395848813804957075115822184412703<205>

6192536398655208027632341702863344141<37>
471507175814467326260027271999436923672543086955738467229190552881582928198387861023784409648699153459400617780379408101136202391697986621928891894656353441741416389083<168>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1606675837
Step 1 took 42093ms
Step 2 took 4356ms
********** Factor found in step 2: 6192536398655208027632341702863344141
Found prime factor of 37 digits: 6192536398655208027632341702863344141
Prime cofactor 471507175814467326260027271999436923672543086955738467229190552881582928198387861023784409648699153459400617780379408101136202391697986621928891894656353441741416389083 has 168 digits

5801264122081177098215309178563310384659919248363178906293937091931090574438693451913178157061849014520073521816545350183149164603209308038782237104157465121618999782353324711760749272279861003127716988922447617633743969627590351083795888872061254609463<253>

278768331376597472508650508715131925645403<42>

20810341308977651264167320765834360393831037451697218320180076672089520510771523398882082030743656628910666788254200492225090955277530693471891146457423456953731387141259709594790034704280438188736042544691752021<212>

Resuming ECM residue saved by @59195a661987 with GMP-ECM 7.0.5-dev on Wed Dec 22 18:47:52 2021 
Input number is 5801264122081177098215309178563310384659919248363178906293937091931090574438693451913178157061849014520073521816545350183149164603209308038782237104157465121618999782353324711760749272279861003127716988922447617633743969627590351083795888872061254609463 (253 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3660530123
Step 1 took 0ms
Step 2 took 15294ms
********** Factor found in step 2: 278768331376597472508650508715131925645403
Found prime factor of 42 digits: 278768331376597472508650508715131925645403
Composite cofactor 20810341308977651264167320765834360393831037451697218320180076672089520510771523398882082030743656628910666788254200492225090955277530693471891146457423456953731387141259709594790034704280438188736042544691752021 has 212 digits

120047712341546012894426471278965039254491733929954613984942961066502914752315187506147065835110726876649279315747192075101258330920485012597481220033745830534452463744602159541883144788402763263351802498321129172131035697<222>

1741889792115839993511733228886477399<37>

68918087059759600529642953067009113877908369615252630179250584782170637309713754643040853425595190215767460075038609161635435590153848147823270723746895881205939287225435151882357496503<185>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3543423701
Step 1 took 32921ms
Step 2 took 12446ms
********** Factor found in step 2: 1741889792115839993511733228886477399
Found prime factor of 37 digits: 1741889792115839993511733228886477399
Composite cofactor 68918087059759600529642953067009113877908369615252630179250584782170637309713754643040853425595190215767460075038609161635435590153848147823270723746895881205939287225435151882357496503 has 185 digits

576114326905724187411847160213940659588776829364407739306925395182037071613529380779491635777499111638759442195180528440653358138738754735967065646144566415237679319077667085757087355195590167928365038067<204>

50608933745876085487374293771301746514879391024291468429669166674604127589622563259981907741143168696761820379612062800230022875802822780780180548618172392281428829278125666046659015570115834773106252861564868237310084543598199537207484957749<242>

2841471676101516259310904443926979575441266397698274947486687775593807739058580781275546421951466038538760334015231190370189571616785112633287074740161062706811379921141011351136570787826980182303682073269340674822337053122084062052077621758697933927049757<256>

2731102756116598115580156538673396111503490032243875774387557805004101587037951266077133920262176881685832680801647885705014911013019156282323933983553892985006497003716199240822918641443805287752164720053635839598999306393099858129607411102005660089<250>

382291030105960800641183850986025100320994957<45>

7144040903495982685317925870365632553990208326961222237877458094214520779265895697495343174219139906586636284514118949684129146687213385797148638269695662637366614254143239025289156131210592189641544301277<205>

GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc, --enable-assert] [ECM]
Input number is 2731102756116598115580156538673396111503490032243875774387557805004101587037951266077133920262176881685832680801647885705014911013019156282323933983553892985006497003716199240822918641443805287752164720053635839598999306393099858129607411102005660089 (250 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:341579300
Step 1 took 44505ms
Step 2 took 17073ms
********** Factor found in step 2: 382291030105960800641183850986025100320994957
Found prime factor of 45 digits: 382291030105960800641183850986025100320994957
Composite cofactor 7144040903495982685317925870365632553990208326961222237877458094214520779265895697495343174219139906586636284514118949684129146687213385797148638269695662637366614254143239025289156131210592189641544301277 has 205 digits

7144040903495982685317925870365632553990208326961222237877458094214520779265895697495343174219139906586636284514118949684129146687213385797148638269695662637366614254143239025289156131210592189641544301277<205>

671489271924262384265545637250841644208523<42>

10639099092415228763535707880587259627858428922186441234844089812970165595500509091907925100241096664241140565944590149520537165365089859646715647694910988257452599<164>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3641073697
Step 1 took 124282ms
Step 2 took 41367ms
********** Factor found in step 2: 671489271924262384265545637250841644208523
Found prime factor of 42 digits: 671489271924262384265545637250841644208523
Composite cofactor 10639099092415228763535707880587259627858428922186441234844089812970165595500509091907925100241096664241140565944590149520537165365089859646715647694910988257452599 has 164 digits

9347196581108549017218324850570945945314961304811199693433064391248323705597092992661565200478626961923352901116192377832323450736382421418233754838710857671439601365126781106543327364191581954955124981130506186965863522734393409057194800777433601911<250>

5286247505347281040616404976567302598650323616869822212394525455579705250873610411235711507297692781424862515217494444550383701432715169968030338912265152386212206341494750900808535923883457190614024675008381027309095746512402821288033621<238>

2598343189230279617893309903328053254109<40>

2034468551828695481798165741088766568709948541422889018603206356194078482768644019705107584694623493234210585141652387250156940243626487295858107428851501693907055758047082404900332481161480532778969<199>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1669632679
Step 1 took 67052ms
Step 2 took 25423ms
********** Factor found in step 2: 2598343189230279617893309903328053254109
Found prime factor of 40 digits: 2598343189230279617893309903328053254109
Composite cofactor 2034468551828695481798165741088766568709948541422889018603206356194078482768644019705107584694623493234210585141652387250156940243626487295858107428851501693907055758047082404900332481161480532778969 has 199 digits

359433783813060421148479100282927533831787774744522963196876197683955450997739571466059632292462071296032285397929697224614814761760504115121527837562142928504609212803670460432574682256031617378035407121260307<210>

7224495097084226248457692057925839340216897201116955646470550035716604974348983700240275342554711344892525488668095330865640626014676277680368855120462367686213390479901292291707253717773881420871485161374115202285862718358334956815377621923501526073121631274758101175401<271>

28072934597635023289140299133780565488484110702652453843179245349462509989482070604438776815007575547177163998070650273503777545153680694508080208386047933092206978576032785455838612311175735904351302854914578690870108511<221>

14892379356792911400948805817723528933727754689905038594397789591716796966228663227322433944729002988722472101341472547779360900619940711383006360783578733767718152951009942458598164267464331565173847519621370341436644208508297001312754006031617647565067172234307<263>