2351576949098419711662312568581696870934455743055987530016857330480850045581740671611194602317051709786613<106>

183073077735509342196686058368657597<36>
12845017837608033929634168714652528545847736369657291081250090112107929<71>

2351576949098419711662312568581696870934455743055987530016857330480850045581740671611194602317051709786613=183073077735509342196686058368657597*12845017837608033929634168714652528545847736369657291081250090112107929

cado polynomial
n: 2351576949098419711662312568581696870934455743055987530016857330480850045581740671611194602317051709786613
skew: 0.65
type: snfs
c0: 4
c4: 23
Y0: 10000000000000000000000000000
Y1: -1
# f(x) = 23*x^4+4
# g(x) = -x+10000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 540000
tasks.lim1 = 540000
tasks.lpb0 = 25
tasks.lpb1 = 25
tasks.sieve.mfb0 = 45
tasks.sieve.mfb1 = 45
tasks.sieve.lambda0 = 2.2
tasks.sieve.lambda1 = 2.2
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 12845017837608033929634168714652528545847736369657291081250090112107929 183073077735509342196686058368657597
Info:Square Root: Total cpu/real time for sqrt: 5.73/5.03935
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 24.05/45.0908
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 39.2s
Info:Square Root: Total cpu/real time for sqrt: 5.73/5.03935
Info:Filtering - Singleton removal: Total cpu/real time for purge: 29.48/40.7214
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3208622
Info:Lattice Sieving: Average J: 1886.71 for 10218 special-q, max bucket fill -bkmult 1.0,1s:1.323080
Info:Lattice Sieving: Total time: 1945.37s
Info:Linear Algebra: Total cpu/real time for bwc: 54.36/52.81
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 14.31, WCT time 15.62, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1408 iterations)
Info:Linear Algebra: Lingen CPU time 29.68, WCT time 25.84
Info:Linear Algebra: Mksol: CPU time 7.81,  WCT time 9.05, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (704 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 18.38/6.4033
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 10.86/19.0616
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.8s
Info:Filtering - Merging: Merged matrix has 44365 rows and total weight 7546697 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 17.74/15.3108
Info:Filtering - Merging: Total cpu/real time for replay: 1.45/1.63786
Info:Generate Factor Base: Total cpu/real time for makefb: 0.28/0.15374
Info:Quadratic Characters: Total cpu/real time for characters: 1.51/1.31403
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2204.18/1407.63
Info:root: Cleaning up computation data in /tmp/cado.3rvf95hm
12845017837608033929634168714652528545847736369657291081250090112107929 183073077735509342196686058368657597

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

5384480244517551610546438724928762238133392175689657743981724192336137309892588990247704253<91>

53028268750986669305586121051707793881887<41>
101539808320017337891725521990013051115883101933219<51>

5384480244517551610546438724928762238133392175689657743981724192336137309892588990247704253=53028268750986669305586121051707793881887*101539808320017337891725521990013051115883101933219

cado polynomial
n:  5384480244517551610546438724928762238133392175689657743981724192336137309892588990247704253
skew: 0.65
type: snfs
c0: 4
c4: 23
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 23*x^4+4
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 630000
tasks.lim1 = 630000
tasks.lpb0 = 25
tasks.lpb1 = 25
tasks.sieve.mfb0 = 45
tasks.sieve.mfb1 = 45
tasks.sieve.lambda0 = 2.2
tasks.sieve.lambda1 = 2.2
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 53028268750986669305586121051707793881887 101539808320017337891725521990013051115883101933219
Info:Square Root: Total cpu/real time for sqrt: 6.28/5.86018
Info:Filtering - Singleton removal: Total cpu/real time for purge: 31.3/42.9288
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3400882
Info:Lattice Sieving: Average J: 1893.52 for 15865 special-q, max bucket fill -bkmult 1.0,1s:1.346340
Info:Lattice Sieving: Total time: 3046.83s
Info:Linear Algebra: Total cpu/real time for bwc: 77.79/75.16
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 18.75, WCT time 20.89, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1600 iterations)
Info:Linear Algebra: Lingen CPU time 46.17, WCT time 40.03
Info:Linear Algebra: Mksol: CPU time 9.98,  WCT time 11.33, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (768 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 18.35/6.38549
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.88/19.8882
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 25.08/44.2081
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.7s
Info:Filtering - Merging: Merged matrix has 49474 rows and total weight 8427059 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 19.6/16.8255
Info:Filtering - Merging: Total cpu/real time for replay: 1.6/1.7577
Info:Generate Factor Base: Total cpu/real time for makefb: 0.32/0.18387
Info:Quadratic Characters: Total cpu/real time for characters: 1.58/1.42085
Info:Square Root: Total cpu/real time for sqrt: 6.28/5.86018
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3015.43/1996.28
Info:root: Cleaning up computation data in /tmp/cado.8rz6dq9x
53028268750986669305586121051707793881887 101539808320017337891725521990013051115883101933219

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

7067977539578730985017479673142631653458864698973667977106903555244544586957096049985360149<91>

58470994283751245445325442092764090037<38>
120880064143921723558673612179904814644855878348362977<54>

7067977539578730985017479673142631653458864698973667977106903555244544586957096049985360149=58470994283751245445325442092764090037*120880064143921723558673612179904814644855878348362977

cado polynomial
n: 7067977539578730985017479673142631653458864698973667977106903555244544586957096049985360149
skew: 344528.787
c0: -18794354148931435818635900
c1: -55612441133840789415
c2: 70098354165539
c3: -319068786
c4: 1680
Y0: -9618452175080621907738
Y1: 872274037126913
# MurphyE (Bf=8.389e+06,Bg=8.389e+06,area=4.214e+11) = 3.834e-06
# f(x) = 1680*x^4-319068786*x^3+70098354165539*x^2-55612441133840789415*x-18794354148931435818635900
# g(x) = 872274037126913*x-9618452175080621907738

cado parameters (extracts)
tasks.lim0 = 404327
tasks.lim1 = 811066
tasks.lpb0 = 23
tasks.lpb1 = 23
tasks.sieve.mfb0 = 46
tasks.sieve.mfb1 = 46
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 120880064143921723558673612179904814644855878348362977 58470994283751245445325442092764090037
Info:Square Root: Total cpu/real time for sqrt: 13.26/4.23273
Info:Generate Free Relations: Total cpu/real time for freerel: 6.31/2.08385
Info:Filtering - Singleton removal: Total cpu/real time for purge: 6.83/7.40516
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 1081345
Info:Lattice Sieving: Average J: 1024 for 24435 special-q, max bucket fill -bkmult 1.0,1s:1.381280
Info:Lattice Sieving: Total time: 921.03s
Info:Linear Algebra: Total cpu/real time for bwc: 76.85/21.45
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 40.62, WCT time 10.97, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2400 iterations)
Info:Linear Algebra: Lingen CPU time 8.04, WCT time 2.08
Info:Linear Algebra: Mksol: CPU time 22.92,  WCT time 6.43, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1200 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 4.07/4.01209
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 3.6999999999999997s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 42.21
Info:Polynomial Selection (root optimized): Rootsieve time: 41.89
Info:Generate Factor Base: Total cpu/real time for makefb: 0.61/0.176892
Info:Filtering - Merging: Merged matrix has 75319 rows and total weight 12820133 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 14.5/4.18279
Info:Filtering - Merging: Total cpu/real time for replay: 2.5/2.04922
Info:Quadratic Characters: Total cpu/real time for characters: 2.43/0.970249
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 2285.08
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2365/29.590/34.365/37.290/0.766
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 1468/29.590/33.086/36.060/1.143
Info:Polynomial Selection (size optimized): Total time: 37.43
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 9.59/11.1413
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 7.1s
Info:Square Root: Total cpu/real time for sqrt: 13.26/4.23273
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1796.3/565.097
Info:root: Cleaning up computation data in /tmp/cado.u53umk3x
120880064143921723558673612179904814644855878348362977 58470994283751245445325442092764090037

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

2031783183226140680645671367616378763723865509168991665390191657798455944919<76>

4393416958480580064633664837973983<34>
462460814083262623197395087308255403331593<42>

2031783183226140680645671367616378763723865509168991665390191657798455944919 = 4393416958480580064633664837973983 * 462460814083262623197395087308255403331593

Time elapsed: 0d 0h 2m 14.6s

Modular multiplications:

ECM: 78622512
Probable prime checking: 1296
SIQS: 82568
Sum of squares: 636
SIQS:

417858 polynomials sieved
257071 sets of trial divisions
9037 smooth congruences found (1 out of every 3062843 values)
106512 partial congruences found (1 out of every 259866 values)
10040 useful partial congruences
Size of binary matrix: 17729 × 17308

Dario Alpern's calculator

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

2151865573893192620036675274128962239437146813367763182515624415253920137719396729164327682347217544253583323977396055536843681<127>

1948388970025862305541572680247153145810098764383327<52>
1104433255883515615325384371412361773654943700708734843908471783073264943103<76>

2151865573893192620036675274128962239437146813367763182515624415253920137719396729164327682347217544253583323977396055536843681=1948388970025862305541572680247153145810098764383327*1104433255883515615325384371412361773654943700708734843908471783073264943103

cado polynomial
n: 2151865573893192620036675274128962239437146813367763182515624415253920137719396729164327682347217544253583323977396055536843681
skew: 0.20
type: snfs
c0: 1
c4: 575
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 575*x^4+1
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1060000
tasks.lim1 = 1060000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 47
tasks.sieve.mfb1 = 47
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1948388970025862305541572680247153145810098764383327 1104433255883515615325384371412361773654943700708734843908471783073264943103
Info:Square Root: Total cpu/real time for sqrt: 13.71/4.50743
Info:Filtering - Singleton removal: Total cpu/real time for purge: 56.17/68.7776
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6174945
Info:Lattice Sieving: Average J: 1893.95 for 51920 special-q, max bucket fill -bkmult 1.0,1s:1.360990
Info:Lattice Sieving: Total time: 10582.4s
Info:Linear Algebra: Total cpu/real time for bwc: 132.28/73.19
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 73.25, WCT time 42.91, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3136 iterations)
Info:Linear Algebra: Lingen CPU time 12.48, WCT time 4.59
Info:Linear Algebra: Mksol: CPU time 39.95,  WCT time 21.5, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1536 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.9/41.7959
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 41.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.02/89.9966
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 82.30000000000001s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.76/27.2179
Info:Filtering - Merging: Merged matrix has 98414 rows and total weight 16752156 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 22.05/9.37734
Info:Filtering - Merging: Total cpu/real time for replay: 3.4/3.20333
Info:Generate Factor Base: Total cpu/real time for makefb: 0.56/0.726958
Info:Quadratic Characters: Total cpu/real time for characters: 3.12/1.20538
Info:Square Root: Total cpu/real time for sqrt: 13.71/4.50743
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 9860.98/5862.62
Info:root: Cleaning up computation data in /tmp/cado.44xip2xr
1948388970025862305541572680247153145810098764383327 1104433255883515615325384371412361773654943700708734843908471783073264943103

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

2060295073812023468043234543716009311917046445919848411166941323399103992519232844124856106507715516273<103>

290427953399325065543431041998269217859901<42>
7093997150402435921840721646007262641843518122017126011093573<61>

2060295073812023468043234543716009311917046445919848411166941323399103992519232844124856106507715516273=290427953399325065543431041998269217859901*7093997150402435921840721646007262641843518122017126011093573

cado polynomial
n: 2060295073812023468043234543716009311917046445919848411166941323399103992519232844124856106507715516273
skew: 0.57
type: snfs
c0: 5
c4: 46
Y0: 500000000000000000000000000000000
Y1: -1
# f(x) = 46*x^4+5
# g(x) = -x+500000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1130000
tasks.lim1 = 1130000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 47
tasks.sieve.mfb1 = 47
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 290427953399325065543431041998269217859901 7093997150402435921840721646007262641843518122017126011093573
Info:Square Root: Total cpu/real time for sqrt: 13.26/10.9257
Info:Filtering - Singleton removal: Total cpu/real time for purge: 57.15/79.4967
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6163074
Info:Lattice Sieving: Average J: 1891.26 for 47912 special-q, max bucket fill -bkmult 1.0,1s:1.354490
Info:Lattice Sieving: Total time: 9976.85s
Info:Linear Algebra: Total cpu/real time for bwc: 196.96/191.79
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 67.22, WCT time 69.66, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (3008 iterations)
Info:Linear Algebra: Lingen CPU time 86.41, WCT time 76.91
Info:Linear Algebra: Mksol: CPU time 37.27,  WCT time 39.02, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (1472 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.73/38.7428
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 38.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.7/74.8173
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 69.19999999999999s
Info:Filtering - Merging: Merged matrix has 95272 rows and total weight 16242757 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 25.2/20.3685
Info:Filtering - Merging: Total cpu/real time for replay: 3.17/3.34198
Info:Generate Factor Base: Total cpu/real time for makefb: 0.57/0.331253
Info:Quadratic Characters: Total cpu/real time for characters: 3.14/2.64949
Info:Square Root: Total cpu/real time for sqrt: 13.26/10.9257
Info:Generate Free Relations: Total cpu/real time for freerel: 36.27/10.9027
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 9513.2/5587.08
Info:root: Cleaning up computation data in /tmp/cado.ldr6md3j
290427953399325065543431041998269217859901 7093997150402435921840721646007262641843518122017126011093573

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

67257833783083543587170246537976112356843162919528048856090460031886061720467085185848016010873544745174689064110167162035233747290679<134>

796822561746755927995951203177031394716868461<45>
84407541919551285510324015500208229165311524478644869660672262651942269727365191637218739<89>

Number: n
N=67257833783083543587170246537976112356843162919528048856090460031886061720467085185848016010873544745174689064110167162035233747290679  ( 134 digits)
SNFS difficulty: 140 digits.
Divisors found:

Mon May 30 07:38:13 2022  p45 factor: 796822561746755927995951203177031394716868461
Mon May 30 07:38:13 2022  p89 factor: 84407541919551285510324015500208229165311524478644869660672262651942269727365191637218739
Mon May 30 07:38:13 2022  elapsed time 00:04:02 (Msieve 1.54 - dependency 10)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 23x10^139+4 = 25(138)6
#
n: 67257833783083543587170246537976112356843162919528048856090460031886061720467085185848016010873544745174689064110167162035233747290679
m: 50000000000000000000000000000000000
deg: 4
c4: 46
c0: 5
skew: 0.57
# Murphy_E = 5.356e-09
type: snfs
lss: 1
rlim: 1530000
alim: 1530000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1530000/1530000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6365000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 429400 hash collisions in 6640696 relations (6953232 unique)
Msieve: matrix is 191402 x 191627 (63.7 MB)

Sieving start time : 2022/05/30 07:18:05
Sieving end time  : 2022/05/30 07:33:51

Total sieving time: 0hrs 15min 46secs.

Total relation processing time: 0hrs 1min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 54sec.

Prototype def-par.txt line would be:
snfs,140,4,0,0,0,0,0,0,0,0,1530000,1530000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

1495396870274585725190625663680254614149377556086215861055797316582416156866964099531492955092175022352003480981217<115>

144664486147079863994251293812691054227983891<45>
10337000532074064762685908685108582424855760032509280642463755717049787<71>

1495396870274585725190625663680254614149377556086215861055797316582416156866964099531492955092175022352003480981217=144664486147079863994251293812691054227983891*10337000532074064762685908685108582424855760032509280642463755717049787

cado polynomial
n: 1495396870274585725190625663680254614149377556086215861055797316582416156866964099531492955092175022352003480981217
skew: 0.36
type: snfs
c0: 2
c4: 115
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 115*x^4+2
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1630000
tasks.lim1 = 1630000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 10337000532074064762685908685108582424855760032509280642463755717049787 144664486147079863994251293812691054227983891
Info:Square Root: Total cpu/real time for sqrt: 24.59/20.7389
Info:Filtering - Singleton removal: Total cpu/real time for purge: 45/63.58
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6087386
Info:Lattice Sieving: Average J: 1892.67 for 104459 special-q, max bucket fill -bkmult 1.0,1s:1.336700
Info:Lattice Sieving: Total time: 18758.4s
Info:Linear Algebra: Total cpu/real time for bwc: 507.44/514.87
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 213.77, WCT time 227.65, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5248 iterations)
Info:Linear Algebra: Lingen CPU time 161.44, WCT time 144.53
Info:Linear Algebra: Mksol: CPU time 117.78,  WCT time 128.27, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2688 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.14/39.9772
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.67/76.5684
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.1s
Info:Filtering - Merging: Merged matrix has 164688 rows and total weight 28113710 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 37.79/31.2861
Info:Filtering - Merging: Total cpu/real time for replay: 5.39/6.00523
Info:Generate Factor Base: Total cpu/real time for makefb: 0.84/0.461672
Info:Quadratic Characters: Total cpu/real time for characters: 5.18/4.37803
Info:Square Root: Total cpu/real time for sqrt: 24.59/20.7389
Info:Generate Free Relations: Total cpu/real time for freerel: 36.22/10.7525
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 17646.1/10400.4
Info:root: Cleaning up computation data in /tmp/cado.riap802_
10337000532074064762685908685108582424855760032509280642463755717049787 144664486147079863994251293812691054227983891

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

93799667278655787669985229533885436668887765114002498825850336660552608442889480142891182146407838044877685246117<113>

27677942055449521473934104347919758583704659<44>
3388968265441813522872769108829651018943002417731614739326546608871463<70>

93799667278655787669985229533885436668887765114002498825850336660552608442889480142891182146407838044877685246117=27677942055449521473934104347919758583704659*3388968265441813522872769108829651018943002417731614739326546608871463

cado polynomial
n: 93799667278655787669985229533885436668887765114002498825850336660552608442889480142891182146407838044877685246117
skew: 0.65
type: snfs
c0: 4
c4: 23
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 23*x^4+4
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2200000
tasks.lim1 = 2200000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 27677942055449521473934104347919758583704659 3388968265441813522872769108829651018943002417731614739326546608871463
Info:Square Root: Total cpu/real time for sqrt: 131.64/106.76
Info:Filtering - Singleton removal: Total cpu/real time for purge: 30.25/46.3612
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6045189
Info:Lattice Sieving: Average J: 1892.79 for 221010 special-q, max bucket fill -bkmult 1.0,1s:1.346650
Info:Lattice Sieving: Total time: 39065.6s
Info:Linear Algebra: Total cpu/real time for bwc: 1798.23/1739.51
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 928.22, WCT time 903.06, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (9984 iterations)
Info:Linear Algebra: Lingen CPU time 330.55, WCT time 305.67
Info:Linear Algebra: Mksol: CPU time 508.55,  WCT time 501.66, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4992 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.26/27.0544
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.78/42.3468
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 42.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 52.82/80.0766
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 73.9s
Info:Filtering - Merging: Merged matrix has 318353 rows and total weight 54212728 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 68.75/56.0169
Info:Filtering - Merging: Total cpu/real time for replay: 11.5/12.7268
Info:Generate Factor Base: Total cpu/real time for makefb: 1.13/1.48632
Info:Quadratic Characters: Total cpu/real time for characters: 10.38/8.89643
Info:Square Root: Total cpu/real time for sqrt: 131.64/106.76
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 36482.9/21821.2
Info:root: Cleaning up computation data in /tmp/cado.r0j2re3g
27677942055449521473934104347919758583704659 3388968265441813522872769108829651018943002417731614739326546608871463

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

4319443505434986741186457229997220532005198356357845236217219179831579263666343647413216745919064896821640787566012364876539036501175639841044479<145>

14678236854230511536521782491674545022298503<44>
294275364836482483611889775188657912329349745792874654843024932109629084194849008607718676519221377993<102>

Number: n
N=4319443505434986741186457229997220532005198356357845236217219179831579263666343647413216745919064896821640787566012364876539036501175639841044479  ( 145 digits)
SNFS difficulty: 150 digits.
Divisors found:

Tue May 31 18:27:09 2022  p44 factor: 14678236854230511536521782491674545022298503
Tue May 31 18:27:09 2022  p102 factor: 294275364836482483611889775188657912329349745792874654843024932109629084194849008607718676519221377993
Tue May 31 18:27:09 2022  elapsed time 00:05:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 23x10^149+4 = 25(148)6
#
n: 4319443505434986741186457229997220532005198356357845236217219179831579263666343647413216745919064896821640787566012364876539036501175639841044479
m: 10000000000000000000000000000000000000
deg: 4
c4: 115
c0: 2
skew: 0.36
# Murphy_E = 1.682e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1474133 hash collisions in 15067171 relations (15093093 unique)
Msieve: matrix is 507915 x 508155 (62.5 MB)

Sieving start time : 2022/05/31 17:42:00
Sieving end time  : 2022/05/31 18:21:30

Total sieving time: 0hrs 39min 30secs.

Total relation processing time: 0hrs 1min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 11sec.

Prototype def-par.txt line would be:
snfs,150,4,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

47322519577306374107330601218740905106873305813350554464413464484223190359352850238685043266153<95>

2727266520875820608524616960229366369729877<43>
17351629998416678016207711102782719929679336433672389<53>

47322519577306374107330601218740905106873305813350554464413464484223190359352850238685043266153=2727266520875820608524616960229366369729877*17351629998416678016207711102782719929679336433672389

cado polynomial
n: 47322519577306374107330601218740905106873305813350554464413464484223190359352850238685043266153
skew: 202239.673
c0: -4541562467015759329284074
c1: 6337616865059917089
c2: -265290726275289
c3: -1492538216
c4: 4200
Y0: -69424070389003957085060
Y1: 5760046138729187
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=4.194e+11) = 1.009e-05
# f(x) = 4200*x^4-1492538216*x^3-265290726275289*x^2+6337616865059917089*x-4541562467015759329284074
# g(x) = 5760046138729187*x-69424070389003957085060

cado parameters (extracts)
tasks.lim0 = 600000
tasks.lim1 = 850000
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 50
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2727266520875820608524616960229366369729877 17351629998416678016207711102782719929679336433672389
Info:Square Root: Total cpu/real time for sqrt: 27.74/8.57657
Info:Filtering - Singleton removal: Total cpu/real time for purge: 15.05/16.6487
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2528393
Info:Lattice Sieving: Average J: 1024 for 34865 special-q, max bucket fill -bkmult 1.0,1s:1.358720
Info:Lattice Sieving: Total time: 1543.43s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.63/0.187952
Info:Linear Algebra: Total cpu/real time for bwc: 217.16/57.65
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 123.67, WCT time 32.22, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4096 iterations)
Info:Linear Algebra: Lingen CPU time 18.15, WCT time 4.68
Info:Linear Algebra: Mksol: CPU time 68.58,  WCT time 17.96, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2048 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.1/8.94117
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.599999999999998s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 54.14
Info:Polynomial Selection (root optimized): Rootsieve time: 53.76
Info:Generate Free Relations: Total cpu/real time for freerel: 24.04/6.67794
Info:Filtering - Merging: Merged matrix has 129168 rows and total weight 18853660 (146.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 17.12/5.19735
Info:Filtering - Merging: Total cpu/real time for replay: 4.03/3.25885
Info:Quadratic Characters: Total cpu/real time for characters: 4.7/1.77716
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 7181.67
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 7211/30.230/36.583/42.940/1.372
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 4794/29.260/34.501/38.080/1.142
Info:Polynomial Selection (size optimized): Total time: 125.53
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 24.35/25.4754
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 17.8s
Info:Square Root: Total cpu/real time for sqrt: 27.74/8.57657
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3192.39/979.163
Info:root: Cleaning up computation data in /tmp/cado.ndtca87o
2727266520875820608524616960229366369729877 17351629998416678016207711102782719929679336433672389

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

47528807940895180428952181528827993528800821800070057277690686770821681785820080262138040855170428813951936360189<113>

296198008507829818535557806381754721<36>
160462955778579397854144140684767498481743631026460848389550295453911016103709<78>

47528807940895180428952181528827993528800821800070057277690686770821681785820080262138040855170428813951936360189=296198008507829818535557806381754721*160462955778579397854144140684767498481743631026460848389550295453911016103709

cado polynomial
n: 47528807940895180428952181528827993528800821800070057277690686770821681785820080262138040855170428813951936360189
skew: 0.28
type: snfs
c0: 1
c5: 575
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 575*x^5+1
# g(x) = -x+1000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 2500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 160462955778579397854144140684767498481743631026460848389550295453911016103709 296198008507829818535557806381754721
Info:Square Root: Total cpu/real time for sqrt: 42.56/18.325
Info:Filtering - Singleton removal: Total cpu/real time for purge: 98.33/137.852
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11642663
Info:Lattice Sieving: Average J: 1893.44 for 133740 special-q, max bucket fill -bkmult 1.0,1s:1.235150
Info:Lattice Sieving: Total time: 34949s
Info:Linear Algebra: Total cpu/real time for bwc: 792.4/590.86
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 472.11, WCT time 409.54, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7424 iterations)
Info:Linear Algebra: Lingen CPU time 39.18, WCT time 15.03
Info:Linear Algebra: Mksol: CPU time 259.51,  WCT time 145.7, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3712 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.16/77.159
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 77.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.02/151.856
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 142.7s
Info:Generate Free Relations: Total cpu/real time for freerel: 60.28/41.1579
Info:Filtering - Merging: Merged matrix has 236643 rows and total weight 40316602 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 51.26/40.8666
Info:Filtering - Merging: Total cpu/real time for replay: 7.9/8.44695
Info:Generate Factor Base: Total cpu/real time for makefb: 1.1/1.43353
Info:Quadratic Characters: Total cpu/real time for characters: 7.8/4.23692
Info:Square Root: Total cpu/real time for sqrt: 42.56/18.325
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 32957.7/18842.4
Info:root: Cleaning up computation data in /tmp/cado.bn2i5xk7
160462955778579397854144140684767498481743631026460848389550295453911016103709 296198008507829818535557806381754721

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

1119482896248272102486225493059206043260712964585401943032922531783579619570507953195880302941806358662850690185542121760800576290325720849638845083036427<154>

108835336737457269425572202508222059388923<42>
10286024096647883357723446065153311625518034236185602054460862269843632376673686872665221393932396085660093670449<113>

Number: n
N=1119482896248272102486225493059206043260712964585401943032922531783579619570507953195880302941806358662850690185542121760800576290325720849638845083036427  ( 154 digits)
SNFS difficulty: 157 digits.
Divisors found:

Tue May 31 04:05:17 2022  p42 factor: 108835336737457269425572202508222059388923
Tue May 31 04:05:17 2022  p113 factor: 10286024096647883357723446065153311625518034236185602054460862269843632376673686872665221393932396085660093670449
Tue May 31 04:05:17 2022  elapsed time 00:06:28 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 23x10^157+4 = 25(156)6
#
n: 1119482896248272102486225493059206043260712964585401943032922531783579619570507953195880302941806358662850690185542121760800576290325720849638845083036427
m: 10000000000000000000000000000000
deg: 5
c5: 575
c0: 1
skew: 0.28
# Murphy_E = 8.614e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1439926 hash collisions in 14591251 relations (14083157 unique)
Msieve: matrix is 348539 x 348764 (116.1 MB)

Sieving start time : 2022/05/31 03:27:27
Sieving end time  : 2022/05/31 03:58:20

Total sieving time: 0hrs 30min 53secs.

Total relation processing time: 0hrs 2min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 8sec.

Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

11402298779139808510327404495349979829537948456468914460198650836668491269766106058273974563315489308426950365723052954935279<125>

4254473242072679998112140959712267129231<40>
2680072979747987520946998769671818331891743540986480151479040634921305226943781346209<85>

11402298779139808510327404495349979829537948456468914460198650836668491269766106058273974563315489308426950365723052954935279=4254473242072679998112140959712267129231*2680072979747987520946998769671818331891743540986480151479040634921305226943781346209

cado polynomial
n: 11402298779139808510327404495349979829537948456468914460198650836668491269766106058273974563315489308426950365723052954935279
skew: 0.56
type: snfs
c0: 5
c5: 92
Y0: 50000000000000000000000000000000
Y1: -1
# f(x) = 92*x^5+5
# g(x) = -x+50000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3300000
tasks.lim1 = 3300000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4254473242072679998112140959712267129231 2680072979747987520946998769671818331891743540986480151479040634921305226943781346209
Info:Square Root: Total cpu/real time for sqrt: 77.43/24.699
Info:Filtering - Singleton removal: Total cpu/real time for purge: 74.43/69.8522
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11633309
Info:Lattice Sieving: Average J: 1892.95 for 232925 special-q, max bucket fill -bkmult 1.0,1s:1.263240
Info:Lattice Sieving: Total time: 28280.1s
Info:Linear Algebra: Total cpu/real time for bwc: 2215.45/572.29
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1366.1, WCT time 349.79, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Linear Algebra: Lingen CPU time 64.05, WCT time 16.31
Info:Linear Algebra: Mksol: CPU time 749.74,  WCT time 191.51, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6272 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.1/47.6974
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.94/84.7317
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.7s
Info:Filtering - Merging: Merged matrix has 399917 rows and total weight 68004879 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 81.69/22.8855
Info:Filtering - Merging: Total cpu/real time for replay: 12.91/10.6841
Info:Generate Factor Base: Total cpu/real time for makefb: 1.43/0.793827
Info:Quadratic Characters: Total cpu/real time for characters: 13.01/5.14324
Info:Square Root: Total cpu/real time for sqrt: 77.43/24.699
Info:Generate Free Relations: Total cpu/real time for freerel: 59.75/17.0753
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 54575.8/15144.7
Info:root: Cleaning up computation data in /tmp/cado.kedswaag
4254473242072679998112140959712267129231 2680072979747987520946998769671818331891743540986480151479040634921305226943781346209

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

73757746835681526193227314585036319328643402296597107829134030308363341822161903175299892451530436508482875988320053700198804844861112355533461<143>

5119815819850545863420460507592132324999292370406741<52>
14406328163155410447974515145429582797178932531589200459831768084836283516026812649906425921<92>

Number: n
N=73757746835681526193227314585036319328643402296597107829134030308363341822161903175299892451530436508482875988320053700198804844861112355533461  ( 143 digits)
SNFS difficulty: 161 digits.
Divisors found:

Thu Jun  2 01:54:18 2022  p52 factor: 5119815819850545863420460507592132324999292370406741
Thu Jun  2 01:54:18 2022  p92 factor: 14406328163155410447974515145429582797178932531589200459831768084836283516026812649906425921
Thu Jun  2 01:54:18 2022  elapsed time 00:07:08 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 23x10^160+4 = 25(159)6
#
n: 73757746835681526193227314585036319328643402296597107829134030308363341822161903175299892451530436508482875988320053700198804844861112355533461
m: 100000000000000000000000000000000
deg: 5
c5: 23
c0: 4
skew: 0.70
# Murphy_E = 6.203e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1063686 hash collisions in 12568843 relations (12320268 unique)
Msieve: matrix is 442705 x 442930 (151.3 MB)

Sieving start time : 2022/06/02 01:22:39
Sieving end time  : 2022/06/02 01:46:50

Total sieving time: 0hrs 24min 11secs.

Total relation processing time: 0hrs 3min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 11sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

5660595537782399973595455405504382608435384121181035957392458937595831101183570121546081590987739739940732925339871364273424844752326053<136>

42996799963538314286729263020076968389841475746033324889<56>
131651554129205837734859547674357672433771971318000114374164705052138163843186477<81>

Number: n
N=5660595537782399973595455405504382608435384121181035957392458937595831101183570121546081590987739739940732925339871364273424844752326053  ( 136 digits)
SNFS difficulty: 165 digits.
Divisors found:

Thu Jun  2 08:32:31 2022  p56 factor: 42996799963538314286729263020076968389841475746033324889
Thu Jun  2 08:32:31 2022  p81 factor: 131651554129205837734859547674357672433771971318000114374164705052138163843186477
Thu Jun  2 08:32:31 2022  elapsed time 00:08:20 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 23x10^164+4 = 25(163)6
#
n: 5660595537782399973595455405504382608435384121181035957392458937595831101183570121546081590987739739940732925339871364273424844752326053
m: 500000000000000000000000000000000
deg: 5
c5: 92
c0: 5
skew: 0.56
# Murphy_E = 3.731e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1237449 hash collisions in 12838977 relations (12403425 unique)
Msieve: matrix is 567269 x 567499 (194.4 MB)

Sieving start time : 2022/06/02 07:30:48
Sieving end time  : 2022/06/02 08:23:54

Total sieving time: 0hrs 53min 6secs.

Total relation processing time: 0hrs 4min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 30sec.

Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

574147367768939970398494346870897461322826709018270493497489972133170452241257682891194999811516604120918026304830371322110240776328644339048165869039<150>

1899484589691645587912903738444253932157861071603<49>
302264820091088320591373583207996392433051191986025120360934483134082462356281053938673959628778299413<102>

Number: n
N=574147367768939970398494346870897461322826709018270493497489972133170452241257682891194999811516604120918026304830371322110240776328644339048165869039  ( 150 digits)
SNFS difficulty: 166 digits.
Divisors found:

Mon Jun  6 08:23:52 2022  p49 factor: 1899484589691645587912903738444253932157861071603
Mon Jun  6 08:23:52 2022  p102 factor: 302264820091088320591373583207996392433051191986025120360934483134082462356281053938673959628778299413
Mon Jun  6 08:23:52 2022  elapsed time 00:07:36 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 23x10^165+4 = 25(164)6
#
n: 574147367768939970398494346870897461322826709018270493497489972133170452241257682891194999811516604120918026304830371322110240776328644339048165869039
m: 1000000000000000000000000000000000
deg: 5
c5: 23
c0: 4
skew: 0.70
# Murphy_E = 3.953e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1261464 hash collisions in 12606524 relations (12116209 unique)
Msieve: matrix is 510287 x 510513 (176.9 MB)

Sieving start time : 2022/06/06 07:32:47
Sieving end time  : 2022/06/06 08:16:00

Total sieving time: 0hrs 43min 13secs.

Total relation processing time: 0hrs 4min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 28sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

20886326468883299989048576209612301727082179620171968946399558910645666305074799209108627841498609208876029249900356865731150365567<131>

200772365264620899668909335292057897753050717<45>
104029886988454898669489079071130773942726443605948500776259357906552012653774017287051<87>

20886326468883299989048576209612301727082179620171968946399558910645666305074799209108627841498609208876029249900356865731150365567=200772365264620899668909335292057897753050717*104029886988454898669489079071130773942726443605948500776259357906552012653774017287051

cado polynomial
n: 20886326468883299989048576209612301727082179620171968946399558910645666305074799209108627841498609208876029249900356865731150365567
skew: 0.44
type: snfs
c0: 2
c5: 115
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 115*x^5+2
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4300000
tasks.lim1 = 4300000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 200772365264620899668909335292057897753050717 104029886988454898669489079071130773942726443605948500776259357906552012653774017287051
Info:Square Root: Total cpu/real time for sqrt: 119.44/49.1598
Info:Filtering - Singleton removal: Total cpu/real time for purge: 60.87/76.0445
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11618151
Info:Lattice Sieving: Average J: 1894.73 for 398094 special-q, max bucket fill -bkmult 1.0,1s:1.253880
Info:Lattice Sieving: Total time: 69837.1s
Info:Linear Algebra: Total cpu/real time for bwc: 18341.4/6644.37
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3235.87, WCT time 1313.34, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (18432 iterations)
Info:Linear Algebra: Lingen CPU time 13253.77, WCT time 4576.54
Info:Linear Algebra: Mksol: CPU time 1765.36,  WCT time 712.1, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (9216 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.81/32.1467
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.69/55.4674
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 55.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.78/119.734
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 107.1s
Info:Filtering - Merging: Merged matrix has 582935 rows and total weight 99475566 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 124.48/46.9092
Info:Filtering - Merging: Total cpu/real time for replay: 20.24/17.1211
Info:Generate Factor Base: Total cpu/real time for makefb: 1.85/2.09131
Info:Quadratic Characters: Total cpu/real time for characters: 19.28/9.71235
Info:Square Root: Total cpu/real time for sqrt: 119.44/49.1598
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 110533/42230.7
Info:root: Cleaning up computation data in /tmp/cado.06bljv57
200772365264620899668909335292057897753050717 104029886988454898669489079071130773942726443605948500776259357906552012653774017287051

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

573843470718822069228553803347832969627157924241260524135742704558101276183388042676318613<90>

44371093706901889416799671227580674713<38>
12932822312413749670118108745021100527775467119710301<53>

Sun May 29 23:00:47 2022  Msieve v. 1.53 (SVN 1005)
Sun May 29 23:00:47 2022  random seeds: a7fa84d0 1ed74cec
Sun May 29 23:00:47 2022  factoring 573843470718822069228553803347832969627157924241260524135742704558101276183388042676318613 (90 digits)
Sun May 29 23:00:47 2022  searching for 15-digit factors
Sun May 29 23:00:48 2022  commencing quadratic sieve (90-digit input)
Sun May 29 23:00:48 2022  using multiplier of 5
Sun May 29 23:00:48 2022  using generic 32kb sieve core
Sun May 29 23:00:48 2022  sieve interval: 36 blocks of size 32768
Sun May 29 23:00:48 2022  processing polynomials in batches of 6
Sun May 29 23:00:48 2022  using a sieve bound of 1618739 (61044 primes)
Sun May 29 23:00:48 2022  using large prime bound of 135974076 (27 bits)
Sun May 29 23:00:48 2022  using double large prime bound of 436737990159996 (42-49 bits)
Sun May 29 23:00:48 2022  using trial factoring cutoff of 49 bits
Sun May 29 23:00:48 2022  polynomial 'A' values have 12 factors
Sun May 29 23:27:07 2022  61159 relations (15932 full + 45227 combined from 669523 partial), need 61140
Sun May 29 23:27:08 2022  begin with 685455 relations
Sun May 29 23:27:08 2022  reduce to 150109 relations in 11 passes
Sun May 29 23:27:08 2022  attempting to read 150109 relations
Sun May 29 23:27:08 2022  recovered 150109 relations
Sun May 29 23:27:08 2022  recovered 131082 polynomials
Sun May 29 23:27:08 2022  attempting to build 61159 cycles
Sun May 29 23:27:08 2022  found 61159 cycles in 6 passes
Sun May 29 23:27:08 2022  distribution of cycle lengths:
Sun May 29 23:27:08 2022     length 1 : 15932
Sun May 29 23:27:08 2022     length 2 : 11531
Sun May 29 23:27:08 2022     length 3 : 10907
Sun May 29 23:27:08 2022     length 4 : 8306
Sun May 29 23:27:08 2022     length 5 : 5689
Sun May 29 23:27:08 2022     length 6 : 3830
Sun May 29 23:27:08 2022     length 7 : 2271
Sun May 29 23:27:08 2022     length 9+: 2693
Sun May 29 23:27:08 2022  largest cycle: 18 relations
Sun May 29 23:27:08 2022  matrix is 61044 x 61159 (15.9 MB) with weight 3678978 (60.15/col)
Sun May 29 23:27:08 2022  sparse part has weight 3678978 (60.15/col)
Sun May 29 23:27:08 2022  filtering completed in 3 passes
Sun May 29 23:27:08 2022  matrix is 57358 x 57422 (15.1 MB) with weight 3489183 (60.76/col)
Sun May 29 23:27:08 2022  sparse part has weight 3489183 (60.76/col)
Sun May 29 23:27:08 2022  saving the first 48 matrix rows for later
Sun May 29 23:27:09 2022  matrix includes 64 packed rows
Sun May 29 23:27:09 2022  matrix is 57310 x 57422 (9.8 MB) with weight 2742497 (47.76/col)
Sun May 29 23:27:09 2022  sparse part has weight 2005972 (34.93/col)
Sun May 29 23:27:09 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun May 29 23:27:09 2022  commencing Lanczos iteration
Sun May 29 23:27:09 2022  memory use: 6.1 MB
Sun May 29 23:27:12 2022  lanczos halted after 907 iterations (dim = 57310)
Sun May 29 23:27:12 2022  recovered 18 nontrivial dependencies
Sun May 29 23:27:12 2022  p38 factor: 44371093706901889416799671227580674713
Sun May 29 23:27:12 2022  p53 factor: 12932822312413749670118108745021100527775467119710301
Sun May 29 23:27:12 2022  elapsed time 00:26:25

Msieve 1.53

Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

3609541745134965473948524795982423101067168863779033270558694287507846829880728185812931575643440050219711236660389202762084118016321406151914626490897677338355304457<166>

97116885485084095454352632588358951267905522946290332462967131<62>
37166984166613793046599740920278319524291386848425791555707179873859699324778504951582252899311322410347<104>

Number: n
N=3609541745134965473948524795982423101067168863779033270558694287507846829880728185812931575643440050219711236660389202762084118016321406151914626490897677338355304457  ( 166 digits)
SNFS difficulty: 168 digits.
Divisors found:

Fri Jun  3 21:31:45 2022  p62 factor: 97116885485084095454352632588358951267905522946290332462967131
Fri Jun  3 21:31:45 2022  p104 factor: 37166984166613793046599740920278319524291386848425791555707179873859699324778504951582252899311322410347
Fri Jun  3 21:31:45 2022  elapsed time 00:10:56 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 23x10^168+4 = 25(167)6
#
n: 3609541745134965473948524795982423101067168863779033270558694287507846829880728185812931575643440050219711236660389202762084118016321406151914626490897677338355304457
m: 1000000000000000000000000000000000
deg: 5
c5: 5750
c0: 1
skew: 0.18
# Murphy_E = 2.361e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1357231 hash collisions in 12500930 relations (11884721 unique)
Msieve: matrix is 683306 x 683531 (238.3 MB)

Sieving start time : 2022/06/03 20:48:19
Sieving end time  : 2022/06/03 21:20:33

Total sieving time: 0hrs 32min 14secs.

Total relation processing time: 0hrs 7min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 54sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

58692829167806760876287487543641446484511937552744225508064485125331388345282710952983997506247094856606980755329505594391575226649106265975189983259414346269<158>

46479854702197415739743172855545771721300606834198383563052064577333<68>
1262758447586798406838965491741861056003563689081834911973458478746653994708956173631237193<91>

Number: n
N=58692829167806760876287487543641446484511937552744225508064485125331388345282710952983997506247094856606980755329505594391575226649106265975189983259414346269  ( 158 digits)
SNFS difficulty: 170 digits.
Divisors found:

Sat Jun  4 22:36:03 2022  p68 factor: 46479854702197415739743172855545771721300606834198383563052064577333
Sat Jun  4 22:36:03 2022  p91 factor: 1262758447586798406838965491741861056003563689081834911973458478746653994708956173631237193
Sat Jun  4 22:36:03 2022  elapsed time 00:14:29 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 23x10^169+4 = 25(168)6
#
n: 58692829167806760876287487543641446484511937552744225508064485125331388345282710952983997506247094856606980755329505594391575226649106265975189983259414346269
m: 5000000000000000000000000000000000
deg: 5
c5: 92
c0: 5
skew: 0.56
# Murphy_E = 2.37e-10
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1291367 hash collisions in 12475501 relations (11939688 unique)
Msieve: matrix is 698772 x 698997 (241.3 MB)

Sieving start time : 2022/06/04 21:45:30
Sieving end time  : 2022/06/04 22:21:18

Total sieving time: 0hrs 35min 48secs.

Total relation processing time: 0hrs 7min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 13sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

1060014964778752745704307043242945689437427298636416213266525649652461163946748534050601383876348186915008840291347637202883383334871276609272903462241693870579<160>

5460788628526621589697338043874435342374983<43>
194113897623017130330085985052527204965248049800401993947197458405782155425036247863457518926804153272318733701882613<117>

Number: n
N=1060014964778752745704307043242945689437427298636416213266525649652461163946748534050601383876348186915008840291347637202883383334871276609272903462241693870579  ( 160 digits)
SNFS difficulty: 172 digits.
Divisors found:

Sat Jun  4 19:53:43 2022  p43 factor: 5460788628526621589697338043874435342374983
Sat Jun  4 19:53:43 2022  p117 factor: 194113897623017130330085985052527204965248049800401993947197458405782155425036247863457518926804153272318733701882613
Sat Jun  4 19:53:43 2022  elapsed time 00:13:37 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 23x10^171+4 = 25(170)6
#
n: 1060014964778752745704307043242945689437427298636416213266525649652461163946748534050601383876348186915008840291347637202883383334871276609272903462241693870579
m: 10000000000000000000000000000000000
deg: 5
c5: 115
c0: 2
skew: 0.44
# Murphy_E = 1.988e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1314727 hash collisions in 12105235 relations (11502903 unique)
Msieve: matrix is 784770 x 784996 (271.7 MB)

Sieving start time : 2022/06/04 18:58:00
Sieving end time  : 2022/06/04 19:39:51

Total sieving time: 0hrs 41min 51secs.

Total relation processing time: 0hrs 8min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 48sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

6388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<172>

57336527537442704725524848356638023787290717470142689<53>
111427900559843407155090221535485114619350659919979350791739904007761977779712108394328745597543652130353328881850355801<120>

Number: n
N=6388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889  ( 172 digits)
SNFS difficulty: 172 digits.
Divisors found:

Fri Jun  3 06:28:50 2022  p53 factor: 57336527537442704725524848356638023787290717470142689
Fri Jun  3 06:28:50 2022  p120 factor: 111427900559843407155090221535485114619350659919979350791739904007761977779712108394328745597543652130353328881850355801
Fri Jun  3 06:28:50 2022  elapsed time 00:13:27 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 23x10^172+4 = 25(171)6
#
n: 6388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 10000000000000000000000000000000000
deg: 5
c5: 575
c0: 1
skew: 0.28
# Murphy_E = 2.224e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1228193 hash collisions in 12097007 relations (11602230 unique)
Msieve: matrix is 747555 x 747780 (259.6 MB)

Sieving start time : 2022/06/03 05:39:27
Sieving end time  : 2022/06/03 06:15:08

Total sieving time: 0hrs 35min 41secs.

Total relation processing time: 0hrs 8min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 51sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

2068709883039649546482137829576603936318480402354830079036345113104052195505360190192706598406745466782108923166665310349830873468255624113852669859<148>

135377603012499374409470130798221773138459793<45>
15281034949692868836521858769157222327901860203002862913484854318380217452012604185198378615149969605363<104>

Number: n
N=2068709883039649546482137829576603936318480402354830079036345113104052195505360190192706598406745466782108923166665310349830873468255624113852669859  ( 148 digits)
SNFS difficulty: 173 digits.
Divisors found:

Wed Jun  8 21:12:49 2022  p45 factor: 135377603012499374409470130798221773138459793
Wed Jun  8 21:12:49 2022  p104 factor: 15281034949692868836521858769157222327901860203002862913484854318380217452012604185198378615149969605363
Wed Jun  8 21:12:49 2022  elapsed time 00:18:16 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 23x10^173+4 = 25(172)6
#
n: 2068709883039649546482137829576603936318480402354830079036345113104052195505360190192706598406745466782108923166665310349830873468255624113852669859
m: 10000000000000000000000000000000000
deg: 5
c5: 5750
c0: 1
skew: 0.18
# Murphy_E = 1.495e-10
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1389339 hash collisions in 11837380 relations (11120199 unique)
Msieve: matrix is 898279 x 898505 (313.2 MB)

Sieving start time : 2022/06/08 19:46:05
Sieving end time  : 2022/06/08 20:54:06

Total sieving time: 1hrs 8min 1secs.

Total relation processing time: 0hrs 12min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 34sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

13041619701500753021459600743576218724458221472876441211253531296493734758881361383920574005868573028059160707961558844406069315047448161451902541944908266527129<161>

4555015514876832437478850336928287909<37>
2863133980313873476452107725393122917557257320172363462988896274057612337536179451056390417044735261821474623785407832228581<124>

Number: n
N=13041619701500753021459600743576218724458221472876441211253531296493734758881361383920574005868573028059160707961558844406069315047448161451902541944908266527129  ( 161 digits)
SNFS difficulty: 175 digits.
Divisors found:

Sat Jun  4 16:59:20 2022  p37 factor: 4555015514876832437478850336928287909
Sat Jun  4 16:59:20 2022  p124 factor: 2863133980313873476452107725393122917557257320172363462988896274057612337536179451056390417044735261821474623785407832228581
Sat Jun  4 16:59:20 2022  elapsed time 00:16:25 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 23x10^174+4 = 25(173)6
#
n: 13041619701500753021459600743576218724458221472876441211253531296493734758881361383920574005868573028059160707961558844406069315047448161451902541944908266527129
m: 50000000000000000000000000000000000
deg: 5
c5: 92
c0: 5
skew: 0.56
# Murphy_E = 1.498e-10
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 58950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1869574 hash collisions in 16563245 relations (15737203 unique)
Msieve: matrix is 861293 x 861518 (294.8 MB)

Sieving start time : 2022/06/04 10:13:02
Sieving end time  : 2022/06/04 16:41:51

Total sieving time: 6hrs 28min 49secs.

Total relation processing time: 0hrs 11min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 54sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5900000,5900000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

9626835421934930768889449636161190558031992534090426152488250598396381734563286693720662581697317614530361241665591441519<121>

2662232352261956997642725315634041577308041<43>
3616076340502556655687619942389086757073460929098465691764954595879297925743159<79>

9626835421934930768889449636161190558031992534090426152488250598396381734563286693720662581697317614530361241665591441519=2662232352261956997642725315634041577308041*3616076340502556655687619942389086757073460929098465691764954595879297925743159

cado polynomial
n: 9626835421934930768889449636161190558031992534090426152488250598396381734563286693720662581697317614530361241665591441519
skew: 87543.931
c0: -3259390442501177159680453376
c1: 189741269313593586512880
c2: 3561811579252575177
c3: -24226071755824
c4: -264576260
c5: 1080
Y0: -389700989907449595403783
Y1: 13083602291146771
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.369e-06
# f(x) = 1080*x^5-264576260*x^4-24226071755824*x^3+3561811579252575177*x^2+189741269313593586512880*x-3259390442501177159680453376
# g(x) = 13083602291146771*x-389700989907449595403783

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3616076340502556655687619942389086757073460929098465691764954595879297925743159 2662232352261956997642725315634041577308041
Info:Square Root: Total cpu/real time for sqrt: 380.36/113.11
Info:Filtering - Singleton removal: Total cpu/real time for purge: 105.28/120.04
Info:Generate Free Relations: Total cpu/real time for freerel: 125.95/32.711
Info:Linear Algebra: Total cpu/real time for bwc: 5458.05/1417.95
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3326.26, WCT time 861.49, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23552 iterations)
Info:Linear Algebra: Lingen CPU time 130.49, WCT time 33.15
Info:Linear Algebra: Mksol: CPU time 1923.34,  WCT time 495.42, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11776 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13934046
Info:Lattice Sieving: Average J: 1918.73 for 306679 special-q, max bucket fill -bkmult 1.0,1s:1.270220
Info:Lattice Sieving: Total time: 48263.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.12/1.37229
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1938.58
Info:Polynomial Selection (root optimized): Rootsieve time: 1936.18
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 55.89/61.4354
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 61.0s
Info:Filtering - Merging: Merged matrix has 752418 rows and total weight 76090398 (101.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 56.91/18.6849
Info:Filtering - Merging: Total cpu/real time for replay: 18.63/14.7385
Info:Quadratic Characters: Total cpu/real time for characters: 23.84/9.1413
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20010/35.000/43.274/48.130/1.036
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16121/35.000/38.331/43.860/0.874
Info:Polynomial Selection (size optimized): Total time: 2241.19
Info:Square Root: Total cpu/real time for sqrt: 380.36/113.11
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 179.14/168.825
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 140.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 78307.1/27223.1
Info:root: Cleaning up computation data in /tmp/cado.3i88373f
3616076340502556655687619942389086757073460929098465691764954595879297925743159 2662232352261956997642725315634041577308041

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

403855383054454491040311117812308662412937854180752061433706444636179339872660549886045084889445051994475643704706268133624341202579223111<138>

9209887138142396154806193350568662640258924919788704618076569<61>
43850198921754733812066672688725059467222122181701853024377271539759717930719<77>

Fri Jun 24 13:34:17 2022  Msieve v. 1.53 (SVN unknown)
Fri Jun 24 13:34:17 2022  random seeds: a83d1a70 bbe6a7b5
Fri Jun 24 13:34:17 2022  factoring 403855383054454491040311117812308662412937854180752061433706444636179339872660549886045084889445051994475643704706268133624341202579223111 (138 digits)
Fri Jun 24 13:34:18 2022  searching for 15-digit factors
Fri Jun 24 13:34:18 2022  commencing number field sieve (138-digit input)
Fri Jun 24 13:34:18 2022  R0: -100000000000000000000000000000000000
Fri Jun 24 13:34:18 2022  R1: 1
Fri Jun 24 13:34:18 2022  A0: 2
Fri Jun 24 13:34:18 2022  A1: 0
Fri Jun 24 13:34:18 2022  A2: 0
Fri Jun 24 13:34:18 2022  A3: 0
Fri Jun 24 13:34:18 2022  A4: 0
Fri Jun 24 13:34:18 2022  A5: 115
Fri Jun 24 13:34:18 2022  skew 0.44, size 2.004e-12, alpha 1.460, combined = 1.255e-10 rroots = 1
Fri Jun 24 13:34:18 2022  
Fri Jun 24 13:34:18 2022  commencing square root phase
Fri Jun 24 13:34:18 2022  reading relations for dependency 1
Fri Jun 24 13:34:18 2022  read 672660 cycles
Fri Jun 24 13:34:19 2022  cycles contain 2330996 unique relations
Fri Jun 24 13:34:38 2022  read 2330996 relations
Fri Jun 24 13:34:45 2022  multiplying 2330996 relations
Fri Jun 24 13:35:27 2022  multiply complete, coefficients have about 66.00 million bits
Fri Jun 24 13:35:28 2022  initial square root is modulo 2984820301
Fri Jun 24 13:36:19 2022  sqrtTime: 121
Fri Jun 24 13:36:19 2022  p61 factor: 9209887138142396154806193350568662640258924919788704618076569
Fri Jun 24 13:36:19 2022  p77 factor: 43850198921754733812066672688725059467222122181701853024377271539759717930719
Fri Jun 24 13:36:19 2022  elapsed time 00:02:02

758536776821632031064941151084590825611685865190544916595561764314778783928810097486954829701560440859922285455596379777493174933280277125986518444743103048393<159>

708840721329471561316263995361594173821<39>
2798524250827551752847897894804687741763<40>
382383292536271731196083728335089113239926015643977166919469365978863654166859391<81>

Number: n
N=758536776821632031064941151084590825611685865190544916595561764314778783928810097486954829701560440859922285455596379777493174933280277125986518444743103048393  ( 159 digits)
SNFS difficulty: 177 digits.
Divisors found:

Sun Jun  5 17:57:23 2022  found factor: 708840721329471561316263995361594173821
Sun Jun  5 17:58:17 2022  p39 factor: 708840721329471561316263995361594173821
Sun Jun  5 17:58:17 2022  p40 factor: 2798524250827551752847897894804687741763
Sun Jun  5 17:58:17 2022  p81 factor: 382383292536271731196083728335089113239926015643977166919469365978863654166859391
Sun Jun  5 17:58:17 2022  elapsed time 00:19:47 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.298).
Factorization parameters were as follows:
#
# N = 23x10^177+4 = 25(176)6
#
n: 758536776821632031064941151084590825611685865190544916595561764314778783928810097486954829701560440859922285455596379777493174933280277125986518444743103048393
m: 100000000000000000000000000000000000
deg: 5
c5: 575
c0: 1
skew: 0.28
# Murphy_E = 1.403e-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  special-q in [100000, 8800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3526506 hash collisions in 28748622 relations (26831077 unique)
Msieve: matrix is 859183 x 859409 (292.9 MB)

Sieving start time : 2022/06/05 16:37:56
Sieving end time  : 2022/06/05 17:37:34

Total sieving time: 0hrs 59min 38secs.

Total relation processing time: 0hrs 11min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 48sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

3534602931235399392479194346310094767025518440060570670803161786501419009280137778468197488470387959504297282271077508509733883453395644690287883649<148>

40212996864277618809797760983346931968204848206149790772659064142431<68>
87897028494667865698211314756170614673133167259148908667567662210988592211483679<80>

3534602931235399392479194346310094767025518440060570670803161786501419009280137778468197488470387959504297282271077508509733883453395644690287883649=40212996864277618809797760983346931968204848206149790772659064142431*87897028494667865698211314756170614673133167259148908667567662210988592211483679

cado polynomial
n: 3534602931235399392479194346310094767025518440060570670803161786501419009280137778468197488470387959504297282271077508509733883453395644690287883649
skew: 0.18
type: snfs
c0: 1
c5: 5750
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 5750*x^5+1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6700000
tasks.lim1 = 6700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 40212996864277618809797760983346931968204848206149790772659064142431 87897028494667865698211314756170614673133167259148908667567662210988592211483679
Info:Square Root: Total cpu/real time for sqrt: 278.1/87.4697
Info:Filtering - Singleton removal: Total cpu/real time for purge: 115.32/119.102
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22427663
Info:Lattice Sieving: Average J: 1894.29 for 1006488 special-q, max bucket fill -bkmult 1.0,1s:1.179700
Info:Lattice Sieving: Total time: 160614s
Info:Linear Algebra: Total cpu/real time for bwc: 18124.8/4655.66
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 11499.46, WCT time 2945.16, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (33792 iterations)
Info:Linear Algebra: Lingen CPU time 213.09, WCT time 54.02
Info:Linear Algebra: Mksol: CPU time 6237.65,  WCT time 1592.36, iteration CPU time 0.09, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16896 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.59/32.3617
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.1/105.521
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.4s
Info:Filtering - Merging: Merged matrix has 1075038 rows and total weight 183036257 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 255.65/71.2585
Info:Filtering - Merging: Total cpu/real time for replay: 38.15/32.4206
Info:Generate Factor Base: Total cpu/real time for makefb: 2.9/1.56251
Info:Quadratic Characters: Total cpu/real time for characters: 36.1/14.3019
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.85/177.738
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 164.39999999999998s
Info:Square Root: Total cpu/real time for sqrt: 278.1/87.4697
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 317731/85919.5
Info:root: Cleaning up computation data in /tmp/cado.mcx0s3i_
40212996864277618809797760983346931968204848206149790772659064142431 87897028494667865698211314756170614673133167259148908667567662210988592211483679

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

16474952204972442700297240689418050812734495800637357719874823082783809418661507981955166618757663241106155204523771845880351945459918164894801731127132118499966809289093<170>

18141658436243034203093271752539315557056673644261494513852924877<65>
908128232205007240115188943603547994157739386569965979803040765627799142885232040558491506688904370707609<105>

Number: 25556_179
N = 16474952204972442700297240689418050812734495800637357719874823082783809418661507981955166618757663241106155204523771845880351945459918164894801731127132118499966809289093 (170 digits)
SNFS difficulty: 182 digits.
Divisors found:
r1=18141658436243034203093271752539315557056673644261494513852924877 (pp65)
r2=908128232205007240115188943603547994157739386569965979803040765627799142885232040558491506688904370707609 (pp105)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 8.85 hours.
Factorization parameters were as follows:
n: 16474952204972442700297240689418050812734495800637357719874823082783809418661507981955166618757663241106155204523771845880351945459918164894801731127132118499966809289093
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 3
c3: 23
c0: 40
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 15151722
Relations: 4064236 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 1.35 hours.
Total relation processing time: 0.21 hours.
Pruned matrix : 3969099 x 3969324
Matrix solve time: 7.23 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: snfs,182,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 8.85 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

768670782162939443277835621003761800675892469925480822409800889489512374030051218368559040131173275410205640362695823707378342192881404769115374559477668262226984697<165>

52464421202072615463091642578560629166131262285521875317812937655550059347<74>
14651277276124280952541933975685911862208861593275747511403896685192847748831327340137314051<92>

Number: 25556_180
N = 768670782162939443277835621003761800675892469925480822409800889489512374030051218368559040131173275410205640362695823707378342192881404769115374559477668262226984697 (165 digits)
SNFS difficulty: 182 digits.
Divisors found:
r1=52464421202072615463091642578560629166131262285521875317812937655550059347 (pp74)
r2=14651277276124280952541933975685911862208861593275747511403896685192847748831327340137314051 (pp92)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 11.31 hours.
Factorization parameters were as follows:
n: 768670782162939443277835621003761800675892469925480822409800889489512374030051218368559040131173275410205640362695823707378342192881404769115374559477668262226984697
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 3
c3: 23
c0: 4
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
maxa: 600000000
maxb: 600000000
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 15327131
Relations: 4297938 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 1.41 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 3350527 x 3350775
Matrix solve time: 9.49 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,182,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 11.31 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

491452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991453<180>

8764459248925512997430938556009980712953<40>
56073395687616619114032518157879846755200000112157012180453176356674945017426283541789247706278765463008380647625522790293321867476521834501<140>

Number: n
N=491452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991453  ( 180 digits)
SNFS difficulty: 182 digits.
Divisors found:

Tue Jun  7 06:12:53 2022  p40 factor: 8764459248925512997430938556009980712953
Tue Jun  7 06:12:53 2022  p140 factor: 56073395687616619114032518157879846755200000112157012180453176356674945017426283541789247706278765463008380647625522790293321867476521834501
Tue Jun  7 06:12:53 2022  elapsed time 00:26:01 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 23x10^181+4 = 25(180)6
#
n: 491452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991453
m: 1000000000000000000000000000000000000
deg: 5
c5: 115
c0: 2
skew: 0.44
# Murphy_E = 7.883e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3048247 hash collisions in 28861249 relations (27575148 unique)
Msieve: matrix is 932875 x 933101 (317.6 MB)

Sieving start time : 2022/06/07 01:11:48
Sieving end time  : 2022/06/07 05:46:27

Total sieving time: 4hrs 34min 39secs.

Total relation processing time: 0hrs 13min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 41sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

21783945344391804090431424316904420475081748851253769822969430634735303473826739360208322091132053455631709895794506262506436900981843100569<140>

1533291018611550174747715315909038000889<40>
14207312949708624311097109928900921938596459727037183675652510022544762234099705434799880768708937121<101>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:491759904
Step 1 took 5937ms
Step 2 took 3406ms
********** Factor found in step 2: 1533291018611550174747715315909038000889
Found prime factor of 40 digits: 1533291018611550174747715315909038000889
Prime cofactor 14207312949708624311097109928900921938596459727037183675652510022544762234099705434799880768708937121 has 101 digits
 

GMP-ECM

5208813218440209028271025983711924830047558119698247674350439293880251331824276984327995483136116704666000681184970422606714464285367326164335816398221649951765925410456651<172>

10626117030348304988236751100003986748752297450471<50>
490189709332560730072080899876911968398249631015958308488020417477461638554896813387877173008928809197662701017629817923581<123>

Number: n
N=5208813218440209028271025983711924830047558119698247674350439293880251331824276984327995483136116704666000681184970422606714464285367326164335816398221649951765925410456651  ( 172 digits)
SNFS difficulty: 185 digits.
Divisors found:

Sun Jun 12 23:08:55 2022  p50 factor: 10626117030348304988236751100003986748752297450471
Sun Jun 12 23:08:55 2022  p123 factor: 490189709332560730072080899876911968398249631015958308488020417477461638554896813387877173008928809197662701017629817923581
Sun Jun 12 23:08:55 2022  elapsed time 00:26:50 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 23x10^184+4 = 25(183)6
#
n: 5208813218440209028271025983711924830047558119698247674350439293880251331824276984327995483136116704666000681184970422606714464285367326164335816398221649951765925410456651
m: 5000000000000000000000000000000000000
deg: 5
c5: 92
c0: 5
skew: 0.56
# Murphy_E = 5.905e-11
type: snfs
lss: 1
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8600000/8600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3036416 hash collisions in 28738870 relations (27454965 unique)
Msieve: matrix is 1033440 x 1033666 (357.7 MB)

Sieving start time : 2022/06/12 18:36:34
Sieving end time  : 2022/06/12 22:41:04

Total sieving time: 4hrs 4min 30secs.

Total relation processing time: 0hrs 17min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 17sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8600000,8600000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

110682029900523849266010603639311392648736578169796248513021169945870021058335220529291136121583023723238815974797895350333430931071795624100946421853967522021928897651698611<174>

112308343821455763230763150690874945368691984057678675829210360382073<69>
985519206627092852821948148277567618115259246519966799707100613068806475331107989441851340025433691501707<105>

Number: n
N=110682029900523849266010603639311392648736578169796248513021169945870021058335220529291136121583023723238815974797895350333430931071795624100946421853967522021928897651698611  ( 174 digits)
SNFS difficulty: 188 digits.
Divisors found:

Sun Jun 12 10:00:47 2022  p69 factor: 112308343821455763230763150690874945368691984057678675829210360382073
Sun Jun 12 10:00:47 2022  p105 factor: 985519206627092852821948148277567618115259246519966799707100613068806475331107989441851340025433691501707
Sun Jun 12 10:00:47 2022  elapsed time 00:37:37 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 23x10^188+4 = 25(187)6
#
n: 110682029900523849266010603639311392648736578169796248513021169945870021058335220529291136121583023723238815974797895350333430931071795624100946421853967522021928897651698611
m: 10000000000000000000000000000000000000
deg: 5
c5: 5750
c0: 1
skew: 0.18
# Murphy_E = 3.699e-11
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3375535 hash collisions in 28632597 relations (26902613 unique)
Msieve: matrix is 1220766 x 1220991 (423.2 MB)

Sieving start time : 2022/06/12 03:59:31
Sieving end time  : 2022/06/12 09:22:16

Total sieving time: 5hrs 22min 45secs.

Total relation processing time: 0hrs 25min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 32sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9800000,9800000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

25622489076803779377269917958042396730473337133233445039999677283556377140954060194400597408674218158749437170707721363898602414712917874681<140>

217252784895048231637529931310096516579819537749548886260063792816107<69>
117938598988186245342135833132910895164816574491439461426636506119885483<72>

Number: 25556_191
N = 25622489076803779377269917958042396730473337133233445039999677283556377140954060194400597408674218158749437170707721363898602414712917874681 (140 digits)
SNFS difficulty: 193 digits.
Divisors found:
r1=217252784895048231637529931310096516579819537749548886260063792816107 (pp69)
r2=117938598988186245342135833132910895164816574491439461426636506119885483 (pp72)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 30.23 hours.
Factorization parameters were as follows:
n: 25622489076803779377269917958042396730473337133233445039999677283556377140954060194400597408674218158749437170707721363898602414712917874681
m: 100000000000000000000000000000000000000
deg: 5
c5: 115
c0: 2
skew: 0.44
# Murphy_E = 3.071e-11
type: snfs
lss: 1
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 24059367
Relations: 3957740 relations
Pruned matrix : 2406109 x 2406334
Total sieving time: 26.72 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.23 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: snfs,193,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,55,55,2.5,2.5,100000
total time: 30.23 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 2.29GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

47429491884958747235181244720927866509981085803182256192081306068830734659110969290954033381090374851381680444301321341255375722854619296844658818153147010254427<161>

38700544139622510169358477369045436080507905851201854015723<59>
1225551033955601128853577084156184031274307096627677528414517138958440395062170056453128891575069908049<103>

Number: n
N=47429491884958747235181244720927866509981085803182256192081306068830734659110969290954033381090374851381680444301321341255375722854619296844658818153147010254427  ( 161 digits)
SNFS difficulty: 193 digits.
Divisors found:

Sun Aug 14 20:39:15 2022  p59 factor: 38700544139622510169358477369045436080507905851201854015723
Sun Aug 14 20:39:15 2022  p103 factor: 1225551033955601128853577084156184031274307096627677528414517138958440395062170056453128891575069908049
Sun Aug 14 20:39:15 2022  elapsed time 00:59:57 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 23x10^193+4 = 25(192)6
#
n: 47429491884958747235181244720927866509981085803182256192081306068830734659110969290954033381090374851381680444301321341255375722854619296844658818153147010254427
m: 100000000000000000000000000000000000000
deg: 5
c5: 5750
c0: 1
skew: 0.18
# Murphy_E = 2.302e-11
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3354097 hash collisions in 27904849 relations (26120134 unique)
Msieve: matrix is 1579611 x 1579835 (551.4 MB)

Sieving start time : 2022/08/14 13:38:17
Sieving end time  : 2022/08/14 19:38:49

Total sieving time: 6hrs 0min 32secs.

Total relation processing time: 0hrs 49min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 18sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11900000,11900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2132727643956710299794032176319164752652695234684668946630569914072223033366723065289075009197232590151614799290534053048387227341766428073605773841890634531<157>

791345539745823539835502216047892453154980325520429093931<57>
2695064970786001237817999964724146643886720724863902021501490780329217453835255807489067260577722601<100>

Number: n
N=2132727643956710299794032176319164752652695234684668946630569914072223033366723065289075009197232590151614799290534053048387227341766428073605773841890634531  ( 157 digits)
SNFS difficulty: 195 digits.
Divisors found:

Mon Oct  3 15:22:59 2022  p57 factor: 791345539745823539835502216047892453154980325520429093931
Mon Oct  3 15:22:59 2022  p100 factor: 2695064970786001237817999964724146643886720724863902021501490780329217453835255807489067260577722601
Mon Oct  3 15:22:59 2022  elapsed time 01:05:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.290).
Factorization parameters were as follows:
#
# N = 23x10^194+4 = 25(193)6
#
n: 2132727643956710299794032176319164752652695234684668946630569914072223033366723065289075009197232590151614799290534053048387227341766428073605773841890634531
m: 500000000000000000000000000000000000000
deg: 5
c5: 92
c0: 5
skew: 0.56
# Murphy_E = 2.288e-11
type: snfs
lss: 1
rlim: 12700000
alim: 12700000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 12700000/12700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 19150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1889129 hash collisions in 13942250 relations (12787570 unique)
Msieve: matrix is 1718303 x 1718528 (600.6 MB)

Sieving start time : 2022/10/03 08:25:36
Sieving end time  : 2022/10/03 14:16:44

Total sieving time: 5hrs 51min 8secs.

Total relation processing time: 0hrs 59min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 9sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12700000,12700000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

744563352148613609015078206229966433319805333702901426187356451700369575019727735510581489178621029476431450401041425409351202838129652966127257970017933063692210941104381604561<177>

44844105864684661801974214209367421609250893747676324532985978970761588676341<77>
16603371564488417886874876500143623247000599416001937340103637338878824235380474897504109356628765421<101>

Number: n
N=744563352148613609015078206229966433319805333702901426187356451700369575019727735510581489178621029476431450401041425409351202838129652966127257970017933063692210941104381604561  ( 177 digits)
SNFS difficulty: 197 digits.
Divisors found:

Tue Jul 26 12:33:10 2022  p77 factor: 44844105864684661801974214209367421609250893747676324532985978970761588676341
Tue Jul 26 12:33:10 2022  p101 factor: 16603371564488417886874876500143623247000599416001937340103637338878824235380474897504109356628765421
Tue Jul 26 12:33:10 2022  elapsed time 01:13:14 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 23x10^196+4 = 25(195)6
#
n: 744563352148613609015078206229966433319805333702901426187356451700369575019727735510581489178621029476431450401041425409351202838129652966127257970017933063692210941104381604561
m: 1000000000000000000000000000000000000000
deg: 5
c5: 115
c0: 2
skew: 0.44
# Murphy_E = 1.905e-11
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3392180 hash collisions in 27590154 relations (25726803 unique)
Msieve: matrix is 1779925 x 1780150 (619.4 MB)

Sieving start time : 2022/07/26 04:40:49
Sieving end time  : 2022/07/26 11:19:28

Total sieving time: 6hrs 38min 39secs.

Total relation processing time: 1hrs 3min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 19sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13500000,13500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

304168656716965057994181898014624782999043507796066945797584207146231905407363657813608691100325616059416463061960284002535111173620606365739457490502786299884600967<165>

6188974531366402296696557290143552784623568758543598392362675970218756736779<76>
49146858688043538839287815923495972939523391488742521193645774409460547866630711916585973<89>

Number: n
N=304168656716965057994181898014624782999043507796066945797584207146231905407363657813608691100325616059416463061960284002535111173620606365739457490502786299884600967  ( 165 digits)
SNFS difficulty: 198 digits.
Divisors found:

Thu Aug 25 17:32:30 2022  p76 factor: 6188974531366402296696557290143552784623568758543598392362675970218756736779
Thu Aug 25 17:32:30 2022  p89 factor: 49146858688043538839287815923495972939523391488742521193645774409460547866630711916585973
Thu Aug 25 17:32:30 2022  elapsed time 01:24:57 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 23x10^198+4 = 25(197)6
#
n: 304168656716965057994181898014624782999043507796066945797584207146231905407363657813608691100325616059416463061960284002535111173620606365739457490502786299884600967
m: 1000000000000000000000000000000000000000
deg: 5
c5: 5750
c0: 1
skew: 0.18
# Murphy_E = 1.426e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3872333 hash collisions in 28934067 relations (26584332 unique)
Msieve: matrix is 1947744 x 1947969 (680.1 MB)

Sieving start time : 2022/08/25 06:28:32
Sieving end time  : 2022/08/25 16:06:34

Total sieving time: 9hrs 38min 2secs.

Total relation processing time: 1hrs 13min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 59sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3044931480957067170520797458280757804168286533345179684352273698337231912094470301780307513814991407103899014387311839117843305823614367117249832761<148>

191032866895359321905672195065390428581159<42>
15939306834697544721752525908520770882495566467512840256814884761488608764146000857718405962290155249566879<107>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3044931480957067170520797458280757804168286533345179684352273698337231912094470301780307513814991407103899014387311839117843305823614367117249832761 (148 digits)
Using B1=17770000, B2=58560416470, polynomial Dickson(12), sigma=1:2830483084
Step 1 took 33001ms
Step 2 took 14163ms
********** Factor found in step 2: 191032866895359321905672195065390428581159
Found prime factor of 42 digits: 191032866895359321905672195065390428581159
Prime cofactor 15939306834697544721752525908520770882495566467512840256814884761488608764146000857718405962290155249566879 has 107 digits

1471218864294140215872314433816996667533248205961190763180428928756362324343230537336366196493331445490965197217923093295094550941970213026389668272522560205677665741370653120966365347721769<190>

81623270732953012342189736503020809884306940929555406951<56>
18024502707169495423088035274500666002767992868813419647247261374832585668591937996558471698849192833242208210253224255901460058324719<134>

Number: n
N=1471218864294140215872314433816996667533248205961190763180428928756362324343230537336366196493331445490965197217923093295094550941970213026389668272522560205677665741370653120966365347721769  ( 190 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sun Jun 18 02:56:15 2023  prp56 factor: 81623270732953012342189736503020809884306940929555406951
Sun Jun 18 02:56:15 2023  prp134 factor: 18024502707169495423088035274500666002767992868813419647247261374832585668591937996558471698849192833242208210253224255901460058324719
Sun Jun 18 02:56:15 2023  elapsed time 03:24:41 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.074).
Factorization parameters were as follows:
#
# N = 23x10^201+4 = 25(200)6
#
n: 1471218864294140215872314433816996667533248205961190763180428928756362324343230537336366196493331445490965197217923093295094550941970213026389668272522560205677665741370653120966365347721769
m: 10000000000000000000000000000000000000000
deg: 5
c5: 115
c0: 2
skew: 0.44
# Murphy_E = 1.176e-11
type: snfs
lss: 1
rlim: 16300000
alim: 16300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16300000/16300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 48150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2313730 hash collisions in 15283331 relations (13708251 unique)
Msieve: matrix is 2500843 x 2501068 (707.1 MB)

Sieving start time: 2023/06/17 03:31:00
Sieving end time  : 2023/06/17 23:31:17

Total sieving time: 20hrs 0min 17secs.

Total relation processing time: 3hrs 14min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 1sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16300000,16300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

763585458093299916895232819099719517727478853442540892552615543710147854465569288452040228992114118183382822017988605931170669159275859743234794223587<150>

395663086251461219187140690326752378016754430875373787<54>
1929888040169630374412780115352402546336902035308879933432144124654855903003183946955077389205401<97>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 763585458093299916895232819099719517727478853442540892552615543710147854465569288452040228992114118183382822017988605931170669159275859743234794223587 (150 digits)
Using B1=58970000, B2=388129104100, polynomial Dickson(30), sigma=1:3627164408
Step 1 took 107912ms
Step 2 took 45544ms
********** Factor found in step 2: 395663086251461219187140690326752378016754430875373787
Found prime factor of 54 digits: 395663086251461219187140690326752378016754430875373787
Prime cofactor 1929888040169630374412780115352402546336902035308879933432144124654855903003183946955077389205401 has 97 digits

1834917390969532075861231611638654307418584987090811549452121749222613845656922497634722077688854816657479539742766889907538519188586547829098679932130266106170111293831621025764968588298112077<193>

1658616914086720001444545167614824184323077813383036557642553514355643197<73>
1106293668770336853870632134700350735090270578824895695502471129332798154754045499182949718948541679842441097742750953041<121>

Number: n
N=1834917390969532075861231611638654307418584987090811549452121749222613845656922497634722077688854816657479539742766889907538519188586547829098679932130266106170111293831621025764968588298112077  ( 193 digits)
SNFS difficulty: 205 digits.
Divisors found:

Fri Oct 13 08:01:06 2023  prp73 factor: 1658616914086720001444545167614824184323077813383036557642553514355643197
Fri Oct 13 08:01:06 2023  prp121 factor: 1106293668770336853870632134700350735090270578824895695502471129332798154754045499182949718948541679842441097742750953041
Fri Oct 13 08:01:06 2023  elapsed time 02:44:43 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.094).
Factorization parameters were as follows:
#
# N = 23x10^204+4 = 25(203)6
#
n: 1834917390969532075861231611638654307418584987090811549452121749222613845656922497634722077688854816657479539742766889907538519188586547829098679932130266106170111293831621025764968588298112077
m: 50000000000000000000000000000000000000000
deg: 5
c5: 92
c0: 5
skew: 0.56
# Murphy_E = 8.717e-12
type: snfs
lss: 1
rlim: 18600000
alim: 18600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18600000/18600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4034852 hash collisions in 21554426 relations (17885090 unique)
Msieve: matrix is 2258659 x 2258884 (634.2 MB)

Sieving start time: 2023/10/12 07:14:09
Sieving end time  : 2023/10/13 05:15:55

Total sieving time: 22hrs 1min 46secs.

Total relation processing time: 2hrs 31min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 14sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18600000,18600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

30160490478728655053000433314868485110743047305491862512111220243255762642342240152035689799709234178062081910112976179266747507031785263984975507772057591<155>

7064404282693535584221212028962834719633234052639347<52>
4269360765863329088559698055210920363155094855464243504549050130640526742000218739553747600504331212653<103>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 30160490478728655053000433314868485110743047305491862512111220243255762642342240152035689799709234178062081910112976179266747507031785263984975507772057591 (155 digits)
Using B1=64690000, B2=388134487660, polynomial Dickson(30), sigma=1:1691637900
Step 1 took 155993ms
Step 2 took 60697ms
********** Factor found in step 2: 7064404282693535584221212028962834719633234052639347
Found prime factor of 52 digits: 7064404282693535584221212028962834719633234052639347
Prime cofactor 4269360765863329088559698055210920363155094855464243504549050130640526742000218739553747600504331212653 has 103 digits

558743314765917693735431267911045786201728007257056529717900333592947731127607899001229322934070052123891897440276442192509566929604568333084908459734616670832697824839176526337791261<183>

202545138848544206761772851559485609841543370991<48>

2758611329515665941917208241435119343564658280117933382518425652980970697471078046525802831587060692966369720013460876980555562606049971<136>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2625489246
Step 1 took 27375ms
Step 2 took 11640ms
********** Factor found in step 2: 202545138848544206761772851559485609841543370991
Found prime factor of 48 digits: 202545138848544206761772851559485609841543370991
Composite cofactor 2758611329515665941917208241435119343564658280117933382518425652980970697471078046525802831587060692966369720013460876980555562606049971 has 136 digits
 

GMP-ECM

2758611329515665941917208241435119343564658280117933382518425652980970697471078046525802831587060692966369720013460876980555562606049971<136>

3604442354274729948032786196670320689093230356404165121121<58>
765336509333838851700589218454467420138456448834261166550860327850894761256851<78>

CADO-NFS

./cado-nfs.py 2758611329515665941917208241435119343564658280117933382518425652980970697471078046525802831587060692966369720013460876980555562606049971
Info:root: Using default parameter file ./parameters/factor/params.c135
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.virp553h
Info:Database: Opened connection to database /tmp/cado.virp553h/c135.db
Info:root: Set tasks.linalg.bwc.threads=8 based on detected physical cores
Info:root: Set tasks.threads=16 based on detected logical cpus
Info:root: tasks.threads = 16 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 8 [via tasks.linalg.bwc.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Math/cado-nfs/build/TrigKey-2
Info:root: Command line parameters: ./cado-nfs.py 2758611329515665941917208241435119343564658280117933382518425652980970697471078046525802831587060692966369720013460876980555562606049971
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.virp553h/c135.parameters_snapshot.0
Info:Server Launcher: Adding TrigKey-2 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,TrigKey-2
Info:Lattice Sieving: param rels_wanted is 55000000
Info:Complete Factorization / Discrete logarithm: Factoring 2758611329515665941917208241435119343564658280117933382518425652980970697471078046525802831587060692966369720013460876980555562606049971
Info:HTTP server: serving at https://TrigKey-2:38171 (0.0.0.0)
Info:HTTP server: For debugging purposes, the URL above can be accessed if the server.only_registered=False parameter is added
Info:HTTP server: You can start additional cado-nfs-client.py scripts with parameters: --server=https://TrigKey-2:38171 --certsha1=c3551b9b0a7c0657fef944d4fc5108d12d52412d
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 2758611329515665941917208241435119343564658280117933382518425652980970697471078046525802831587060692966369720013460876980555562606049971
skew: 48692.664
c0: -217079192381083765318879919500
c1: -22002045392300347650486700
c2: 467144760054764385607
c3: 29674520182771729
c4: -136686090216
c5: -131040
Y0: -255218641368145305749165424
Y1: 2684388785752770557
# MurphyE (Bf=1.074e+09,Bg=5.369e+08,area=5.033e+13) = 1.599e-06
# f(x) = -131040*x^5-136686090216*x^4+29674520182771729*x^3+467144760054764385607*x^2-22002045392300347650486700*x-217079192381083765318879919500
# g(x) = 2684388785752770557*x-255218641368145305749165424
===
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 765336509333838851700589218454467420138456448834261166550860327850894761256851 3604442354274729948032786196670320689093230356404165121121
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1977.11/154.816
Info:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 574.29
Info:Polynomial Selection (root optimized): Rootsieve time: 579.99
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 63638.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 60395/41.160/50.418/66.970/2.211
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 51055/39.400/43.851/53.330/1.221
Info:Polynomial Selection (size optimized): Total time: 8385.41
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 821.58/446.661
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 375.59999999999997s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 237.25/135.263
Info:Generate Free Relations: Total cpu/real time for freerel: 357.05/25.9554
Info:Square Root: Total cpu/real time for sqrt: 1977.11/154.816
Info:Linear Algebra: Total cpu/real time for bwc: 16762.2/2385.81
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9925.33, WCT time 1410.38, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (54000 iterations)
Info:Linear Algebra: Lingen CPU time 128.13, WCT time 24.6
Info:Linear Algebra: Mksol: CPU time 5457.47,  WCT time 764.68, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (27000 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 56572944
Info:Lattice Sieving: Average J: 3801.67 for 493135 special-q, max bucket fill -bkmult 1.0,1s:1.181880
Info:Lattice Sieving: Total time: 112920s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.91/0.478409
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 211.29/135.993
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 135.70000000000002s
Info:Quadratic Characters: Total cpu/real time for characters: 38.93/8.41548
Info:Filtering - Merging: Total cpu/real time for merge: 158.69/17.4981
Info:Filtering - Merging: Total cpu/real time for replay: 30.66/27.1755
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 240035/17973.7 [04:59:34]
Info:root: Cleaning up computation data in /tmp/cado.virp553h
765336509333838851700589218454467420138456448834261166550860327850894761256851 3604442354274729948032786196670320689093230356404165121121

CADO-NFS

15530655195003375416894659334397573770708422306448746267338336761220365752592737597349139162226166258228964041906178183192558566338719729252490155349019464211842762496215425503477<179>

476733779090080713726648539443203170377300285510801368448153768413387099069196754944505130321291042212545126209068485379647664757140940779800207283771547675372176358847<168>

198591534539650894190658458919701464629238348127239190983215221410117532368650090423836029481289492852299996002940055591587775592723722939017848619<147>

16177941707265964664569103286444635383456363<44>
12275451236819446522191835139321406227181035532014726737010439473621292584681110809167277994076831989313<104>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:4104748922
Step 1 took 84515ms
Step 2 took 32250ms
********** Factor found in step 2: 16177941707265964664569103286444635383456363
Found prime factor of 44 digits: 16177941707265964664569103286444635383456363
Prime cofactor 12275451236819446522191835139321406227181035532014726737010439473621292584681110809167277994076831989313 has 104 digits
 

GMP-ECM

29582919576383656193436924962424369332265265169356805600856582445107603435580323660393453184469961744602851716762122827969346547462056400425429690651939382692486566818085671055824803002734683065968547<200>

47598095639653395532616305347756555603966590986608729868549224602572619578107031882097977977587919493660809101761432202710445670660383582658416625562885598627043176719967<170>

151985621561715652874352056894996900136453503685559677462706267385869466519440101179446980676862290905622462326550716600322539529546603552207173792828004433283464781511459111283<177>

137290731679837423615779140683030068214934159<45>
1107034828222394324659127010547703032038494409553113321657074182603168332015855479568829816310437703297892481577233909198251514428637<133>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2421090346
Step 1 took 7313ms
Step 2 took 3437ms
********** Factor found in step 2: 137290731679837423615779140683030068214934159
Found prime factor of 45 digits: 137290731679837423615779140683030068214934159
Prime cofactor 1107034828222394324659127010547703032038494409553113321657074182603168332015855479568829816310437703297892481577233909198251514428637 has 133 digits
 

GMP-ECM

1273663851220730886389952182691113901342955367880749005076146103600935499214104773378611462026722956849016247730800523542989398002741901087164616900376606226510971<163>

29322560491321818794191987677815885014989046452943805514840652371600382486856801629433239835108535358012412910994338270176840592452910927863017961708825577311054162352869<170>

248957439786392766410028562596500666209475292992145943313975099851584710151443989439980600658693951308409623962262706867957994637088020342689465092958634434960941084355361855407036828596141247309827<198>

760573626572441897358463070732876149109801<42>
327328520327913930549544540221541204752182854425535787667414105251467941772145954954989605125371826527509083880997362165307868137101924346522806653326385227<156>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:2340595275928298100
Step 1 took 20406ms
********** Factor found in step 2: 760573626572441897358463070732876149109801
Found prime factor of 42 digits: 760573626572441897358463070732876149109801
Prime cofactor 327328520327913930549544540221541204752182854425535787667414105251467941772145954954989605125371826527509083880997362165307868137101924346522806653326385227 has 156 digits

GMP-ECM 7.0.5

484549078456047716295059746786112528137596352364634644418271426181850173989852590667792358769797347826170153416664670128556762734475860244424519036754958241347909927351129113101288655021039115111<195>

345415952317279144160468303448369958139572234788413330256423235148477054320372916827547503107751266990450995299601936396089126274332438328638279717263876355249584431941553747686452313238673547<192>

5140800378966853445755368601603186367<37>

67191084433178745897650866767025970447622542646956540208078562189751316514797432044455458135454121081861865615070600662933444681929196099396128408586847541<155>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3054895347
Step 1 took 6484ms
Step 2 took 3172ms
********** Factor found in step 2: 5140800378966853445755368601603186367
Found prime factor of 37 digits: 5140800378966853445755368601603186367
Composite cofactor 67191084433178745897650866767025970447622542646956540208078562189751316514797432044455458135454121081861865615070600662933444681929196099396128408586847541 has 155 digits

GMP-ECM

67191084433178745897650866767025970447622542646956540208078562189751316514797432044455458135454121081861865615070600662933444681929196099396128408586847541<155>

14044828377706419758846449640782683878689<41>
4784044534131312462070333029313601980800741848692576673331284778328960660952634304614635529236848011201223384562069<115>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 67191084433178745897650866767025970447622542646956540208078562189751316514797432044455458135454121081861865615070600662933444681929196099396128408586847541 (155 digits)
Using B1=50730000, B2=288592384096, polynomial Dickson(12), sigma=1:2701928633
Step 1 took 119462ms
Step 2 took 40071ms
********** Factor found in step 2: 14044828377706419758846449640782683878689
Found prime factor of 41 digits: 14044828377706419758846449640782683878689
Prime cofactor 4784044534131312462070333029313601980800741848692576673331284778328960660952634304614635529236848011201223384562069 has 115 digits

573647394119524876099411830507065855292928499922453199443336608241383129030571438760345320582648058444651949419136712876096316257182467467210179433478178023223040967730015095404276817925495811225689<198>

188396994844417020170211787479069293288277810087182695245107820273014855447463100734677329367980864137561544332332111297262044878694990795940729108233839832449764605338086125691301582748508862341491643891776640979<213>

481272925124397806474344625618802987683<39>

391455627377585802883886948364632606994934708916573659170227642735613488337266805676591053666420019762395335384146703537882011193905400711240621174292638086202209045502781713<174>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3415511485
Step 1 took 9766ms
Step 2 took 4313ms
********** Factor found in step 2: 481272925124397806474344625618802987683
Found prime factor of 39 digits: 481272925124397806474344625618802987683
Composite cofactor 391455627377585802883886948364632606994934708916573659170227642735613488337266805676591053666420019762395335384146703537882011193905400711240621174292638086202209045502781713 has 174 digits
 

GMP-ECM

49098443286086789555969542476223172629737674988034857083044080270370047569272997697133494883895698533560174354946213855361050931607805624866041134830905991062327891465945139802380025595693689740803773391<203>

14357098637720952284673371510495347708792859380895932785445078633331152203159659470465131110189789891120717224053820614748572610151024363532466601009796485509882163597136076893566070486923904707536357<200>

141897305470064783975445362598579223123722980042829762041519534148165700624207336023365104456968559400978011004720731566847151825509914306306854781213389816221342336528996090497840661206321418562127457<201>

1517387805299092030746952511379099377<37>
93514199187923111215892776895012399792825337962488167389612652889606870293066742595132393949006476957262576493119500603480804286614345047671065819767912468118589041<164>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1272481295
Step 1 took 8719ms
********** Factor found in step 1: 1517387805299092030746952511379099377
Found prime factor of 37 digits: 1517387805299092030746952511379099377
Prime cofactor 93514199187923111215892776895012399792825337962488167389612652889606870293066742595132393949006476957262576493119500603480804286614345047671065819767912468118589041 has 164 digits
 

GMP-ECM

5394586331800866668296529971550033292612590170511778393014013106087371138632226831550487888123143229664617990469889395931817314152422304662463827826371656417680048593899539168542851608521468829053925095760117725705683<217>

245674809526183871658112269798964944255531197432266707307689070372075139918212933236311010294714492331378317288204708043688073658691378732585447941871032859198041369330717302509390866186571090193289676706050261306136320123761996567987<234>

20518440073368054588607104704401199979665704973128945802232540598760682358635539654268083719234801464626727827470881508468909750139370864299842741482250043677969007882513516055212257223856018989326442622326650015587787008228887<227>

1397046558286675263727013422484454667<37>

14687012363089513761256131114701027599199009900983977061441221659437383504477485650099502616219427655255830050553741987107006319391586314365513758647383994016200260482592926622789306503082661<191>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2059013328
Step 1 took 9532ms
Step 2 took 4406ms
********** Factor found in step 2: 1397046558286675263727013422484454667
Found prime factor of 37 digits: 1397046558286675263727013422484454667
Composite cofactor 14687012363089513761256131114701027599199009900983977061441221659437383504477485650099502616219427655255830050553741987107006319391586314365513758647383994016200260482592926622789306503082661 has 191 digits

GMP-ECM

309108067037027937557984160850627786350215202662518783523916215073180917187554796970126888138052266566399544403489813867836502132803778615352875192126471205719285064209881092479527893516167635942103<198>

22589699670532176787853923137427207639294275781889417409288310922583370625981006816235621803483834555553944811752961087297639014949234659010840659369368657966371519472380045650050822895615276435654969091594317751587083547591723904054827519<239>

6969480374935463557129786653588873607837399038474460179825805387685867249520310737115603412998496520886798002898997264478836901740999924340651482685023600919349430914541102584505737<181>

10886519856914265130752715641436360136545139633248578675702280556837342563097211350222865933596632164114726415315606918979617938035486361669115822626480788400341551682751556469950218648312770827102091618712550798481022709<221>

2425952205029524493151456945550571100795725547860273474036232650646496408712770574696064272215022071965897898963773375881249744404342460811346483841918970081949005739367359612789094564782116689411374304660417523030635061601<223>

13885330330492712900164285713845992721616875010676301394879951998876207205987941167944868267098984947680399555987591392937668450877522217<137>

318944192567520316826843471780270236789422045633124751657<57>
43535297566370316698373664140590814368579725586608710796113936365041031925934081<80>

Number: 25556_250
N = 13885330330492712900164285713845992721616875010676301394879951998876207205987941167944868267098984947680399555987591392937668450877522217 (137 digits)
Divisors found:
r1=318944192567520316826843471780270236789422045633124751657 (pp57)
r2=43535297566370316698373664140590814368579725586608710796113936365041031925934081 (pp80)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 16.51 hours.
Factorization parameters were as follows:
n:  13885330330492712900164285713845992721616875010676301394879951998876207205987941167944868267098984947680399555987591392937668450877522217
# norm 4.181368e-13 alpha -7.491493 e 3.262e-11 rroots 5
skew: 6120817.86
c0: -27126636559058276130718345000016800
c1: 332674488653172304652677718280
c2: -494861443149577214039584
c3: 52224554745910623
c4: 10387354352
c5: 240
Y0: -565546693405613007349575183
Y1: 79331560806991
type: gnfs
Factor base limits: 10400000/10400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23312230
Relations: 3616080 relations
Pruned matrix : 2114431 x 2114676
Polynomial selection time: 0.40 hours.
Total sieving time: 14.37 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.25 hours.
time per square root: 0.32 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,10400000,10400000,28,28,56,56,2.5,2.5,100000
total time: 16.51 hours.
Intel64 Family 6 Model 45 Stepping 6, GenuineIntel
processors: 12, speed: 3.30GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

16330132680011556342548466579374202595090601693545870474689003852367693645225121132798603967461553620501651069307780509351818306620547051348414151657455098965966319243687872162980651045228550153<194>

21028905618852186855197555700938316504314546119465509791628102642385046994248025823587260174210696946023334916489254745049579287584258457552163317879058461572047981913676171167763860056412369446394716159<203>

218318581717364010163278183474100530977965555939274739592024997933267366139171710160337392517544438635575734789426607299724132429152619227095111<144>

1307769483492507191987535521091773281384305413<46>
166939651424137896945403827405916920253949411378936362782850361197375968249110547896992333401513947<99>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1422773644
Step 1 took 21641ms
Step 2 took 4766ms
********** Factor found in step 2: 1307769483492507191987535521091773281384305413
Found prime factor of 46 digits: 1307769483492507191987535521091773281384305413
Prime cofactor 166939651424137896945403827405916920253949411378936362782850361197375968249110547896992333401513947 has 99 digits

GMP-ECM

9442299267455669925196768905951916331956349313524319361547121291914847775355973186767009734170175826009024691702295668024616469102747270829628091074019278646327075816952320195280627863588855550277068619940113983412553240753<223>

426666790726211457023154416726371052545052991677477631418931001929503636581384506406775512491075899634150572419157377192235112215573791485594472135211209118083715777406770047666238195056428133324467384577499209446811524144761<225>

13811763874114055832081412893813578674376091919499709292205047540342251861352637698294875717311921450468219890547702808852457656872520539829151905604140584290322876087018062504108069966812010159980918610460624291265686682951985856134776847<239>

21212517868577474608565029958921229462143200855708564780860046045869508137043908131832446740941204210170209917647845933591380110292642863491347383831216869931058804134835717408048747649185695824250778548570457665394765509<221>

11208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208577<260>

377288418295404364603653595427395601013888806869667520322722670703324665542019103260887395482906210036134388166135510189083832174237696952756272337934939728995369522838416228519986115786206729119382585547688271841882688891907196235252123805718117652308053697<258>

63249588251845586588221880606000912098328707177179914682933706294735407265142080201178647972025112062435354478859269031369332728127358610958142674752459086738714045778765927207667245489117568935603<197>

1238899849192393875650831343493322544000635678843582630961904742709471976162599732029344186557521361728383329249672663976673531371575588253833878751455085489216728899329715796727220536325544735388924040775601323<211>

25609344728178553378170792231548772878575756691948981793126231159040787802225308576189066336876402784377181509058390238154750868696881088623844197273443532794821194254627577144019121453135322343979897865978363<209>

125322149757051121101025454741297<33>
204348112267661368391149598585872485723040620927710347131669756644648519083993017163324662066823920619016178185698297359947652724078865374403464007401414510159313070695123564779<177>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:3438091730734721695
Step 1 took 17687ms
Step 2 took 6469ms
********** Factor found in step 2: 125322149757051121101025454741297
Found prime factor of 33 digits: 125322149757051121101025454741297
Prime cofactor 204348112267661368391149598585872485723040620927710347131669756644648519083993017163324662066823920619016178185698297359947652724078865374403464007401414510159313070695123564779 has 177 digits

GMP-ECM 7.0.5

2475641837055407017045332231134532835621687483585418254306540430460297163129727937725767771879292009489242798034986200987673456383496295148172545777846665202808884755643387022470216952334207342538415503115003250625368655360518033436233924473549381520087142592664350327<268>

241245366602865807746984344873616718943553226351659758325518881559391030035480579644647778334020530812457847736948763289649653145154120698808518707609301780117133213632328723814743068969915026173<195>

1089729270114086115684168241975022484618197<43>

221381010145399974631550660402993149140726122183198047886420175356300466959354894786557989657074145764299429734835685713476244289957826988957411854659209<153>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 241245366602865807746984344873616718943553226351659758325518881559391030035480579644647778334020530812457847736948763289649653145154120698808518707609301780117133213632328723814743068969915026173 (195 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:550044175
Step 1 took 9886ms
Step 2 took 3923ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:364263736
Step 1 took 8884ms
Step 2 took 3900ms
Run 3 out of 0:
...
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1620529191
Step 1 took 8980ms
Step 2 took 3973ms
Run 47 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3825002399
Step 1 took 8866ms
Step 2 took 3919ms
** Factor found in step 2: 1089729270114086115684168241975022484618197
Found prime factor of 43 digits: 1089729270114086115684168241975022484618197
Composite cofactor 221381010145399974631550660402993149140726122183198047886420175356300466959354894786557989657074145764299429734835685713476244289957826988957411854659209 has 153 digits

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

246666736891871587086690891090233424937737627297296633873340306746896612146707616898536076858831716122087933128349981224525686568561634815328851449661761658840893813187747979922765731266151653984554402777877914284547179934395507655371432734313208347906309235834607<264>

935413520994489268104414312837203978906174336996841072721629227796301182445447487052430447276164851431273516804907974572191305674899114181826869035453432842299458316120413455145679728168065451841727242360678903267425113863309461<228>

3264943258695030246127884559982377905443922255865944891359921733215337409949631649363215234536848675507720435693154310135545539969932209549045484327219475454969509535506617928396625825811209220884594918181454952004468402832185562951628366639178173<247>

43498653633842167927353872077722067<35>

75058489997834972603555307442738870146981182795724362336381208618288603256102919942405605213212234124023947039818301874380150110559518718481030349439622187164424892284469460740521546404022123625119902433927836719<212>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 3264943258695030246127884559982377905443922255865944891359921733215337409949631649363215234536848675507720435693154310135545539969932209549045484327219475454969509535506617928396625825811209220884594918181454952004468402832185562951628366639178173 (247 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2498090479
Step 1 took 15395ms
Step 2 took 4879ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4098439459
Step 1 took 11728ms
Step 2 took 4851ms
Run 3 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4191438536
Step 1 took 11763ms
Step 2 took 4862ms
Run 4 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:709810244
Step 1 took 11746ms
Step 2 took 4859ms
** Factor found in step 2: 43498653633842167927353872077722067
Found prime factor of 35 digits: 43498653633842167927353872077722067
Composite cofactor 75058489997834972603555307442738870146981182795724362336381208618288603256102919942405605213212234124023947039818301874380150110559518718481030349439622187164424892284469460740521546404022123625119902433927836719 has 212 digits

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

1642912429218757821682800282088640554800552675160992110651659528764161465552207351963608826378474176217711255494263119423826055462482101251311794641827131169219036631311835109180487422630663009016085067942223363325627979525706204011<232>

22455678714419560618938523407931321071913409561573435770660856183978390552124203237321854868550388263669731911192034206760314409754581107786103796633382740975101735192502955067223337392694356675761815510270575077096290513772583700224019<236>

1823558355482256399677922878266450635947950932938150482367295437622832404885102914621875996692374052999241388712001781270734502581853991574310844943765892636269330328235111939537147615463961365099718338696213479082202733470869024680734449575118091<247>

7464511688119921831999374131130832937990477532378463983210099359662350306588212922292038036450519927624863783122445940497392785557306244280973226251977264853668677991711800083104193<181>

1168760496300153339931338038060231224431581<43>

6386690610907622012942618878637903916477544499039233564670397744592750020597770496708188585886467032913088839408578173974942343249981958453<139>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2720353476
Step 1 took 31266ms
Step 2 took 13328ms
********** Factor found in step 2: 1168760496300153339931338038060231224431581
Found prime factor of 43 digits: 1168760496300153339931338038060231224431581
Composite cofactor 6386690610907622012942618878637903916477544499039233564670397744592750020597770496708188585886467032913088839408578173974942343249981958453 has 139 digits

GMP-ECM

6386690610907622012942618878637903916477544499039233564670397744592750020597770496708188585886467032913088839408578173974942343249981958453<139>

8604251167103035221290332504677733029014547132869<49>
742271522166403293047743682443583016663946697608152159029168881238990755873256718990786737<90>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2311626312
Step 1 took 21672ms
Step 2 took 10656ms
********** Factor found in step 2: 8604251167103035221290332504677733029014547132869
Found prime factor of 49 digits: 8604251167103035221290332504677733029014547132869
Prime cofactor 742271522166403293047743682443583016663946697608152159029168881238990755873256718990786737 has 90 digits
 

GMP-ECM

6355129867073307443153189263732905956486496535507584404847741251066510986542386940645356099207847872285002450223083350055890493556969844945253656393298611268953195309616627498122387933172960139063769628881006383688162835969563331212786756487618575132115330363617619369213881521<277>

14374562458450547085971054985015750984737391447249964112371331429966740305412467500180832937972107351968440618468745410182790915386920907020632192684883083664505938881350967853886758205476487565298130995891494303356645382761644174823224044030428404719984381809397<263>

636595208672390411715472589890703480381<39>

22580381163138939775047382116104652615151447498413005066420844974506079328904313388938864289064412546476145510668924742320447335625369329727764788290105739078922413661341076721915422399375176461337282860316212682388479341337<224>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 14374562458450547085971054985015750984737391447249964112371331429966740305412467500180832937972107351968440618468745410182790915386920907020632192684883083664505938881350967853886758205476487565298130995891494303356645382761644174823224044030428404719984381809397 (263 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1444361650
Step 1 took 15375ms
Step 2 took 5351ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:547148972
Step 1 took 13444ms
Step 2 took 5316ms
Run 3 out of 0:
...
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1779327203
Step 1 took 13231ms
Step 2 took 5311ms
Run 38 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3635595685
Step 1 took 13166ms
Step 2 took 5303ms
** Factor found in step 2: 636595208672390411715472589890703480381
Found prime factor of 39 digits: 636595208672390411715472589890703480381
Composite cofactor 22580381163138939775047382116104652615151447498413005066420844974506079328904313388938864289064412546476145510668924742320447335625369329727764788290105739078922413661341076721915422399375176461337282860316212682388479341337 has 224 digits

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

152616674782691757371415681694837464930006194366972049100154027691771759814841597519192665021702078387246006977899691714212021897832032892080762441462324491083009789569091085531303247898861213749373043700360386499095407386122543849<231>

248203839042782835889313394611606740394881926030307556214574618543844728308383628067200593025001989683220535663274657746517724646611511806391013132487843242158861194998835191690642720500754146479858898362708790933995708479546718941<231>

31623728431522403797016072815490792354388489290700645711412766954058117618422339510197008403165404166779169022588350486087726958563575308525262093394934455140529827104232134974710828306551164513173955637061908822675725010751046243446008145100358468272119135013394605763<269>

101903187107960840066854461040169368931<39>

310331102775213470433762554924884903552835089762176335642183417664287123182344043501557289053357187281831885930483219617352483158641715828854636479365397213846811521298496102202351807826053199144349442410790763550255223279110659873<231>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3165993328
Step 1 took 12562ms
Step 2 took 5203ms
********** Factor found in step 2: 101903187107960840066854461040169368931
Found prime factor of 39 digits: 101903187107960840066854461040169368931
Composite cofactor 310331102775213470433762554924884903552835089762176335642183417664287123182344043501557289053357187281831885930483219617352483158641715828854636479365397213846811521298496102202351807826053199144349442410790763550255223279110659873 has 231 digits

GMP-ECM

13195592611058753477226276273785685260626118860371602694356772813789802287709091346963309391843718607613634947232952550781611232667577415018940005482836655873079125329617215297638959758419456273149940760273904188771263091244542455172615590282061998939994802692515399706977043<275>

34036417320128878667825694377905579338256799822058334782101871676737520551438649592273624901113498792245733007771587369690130556064809763359132017139685379321471882093745291498402788934985667917011427775245687050137576815685768056828083303038697712538972462245085249229976762034981493<284>

61290677702751623632452170800443983815219568526603622839585859070264248585956797546335235876052159192560962622734658979588462166782941429851146842539493326026015280380201138292600277012039471475840788383797657224749625233618341187267711901688547531715082863005266427202375071824038944099<287>

258137875653478063920456589251066131118844689586151217036128246059968622640985590606342812074744134975061546820486854998534845491586310833253077151982739862139176799282104596513431623679516283135703487466339356129893767055592965969401342302008127725456028436954003209854278558840577<282>

70987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654321<299>