17385676621031903434746695234358914781735707982622165103218197562241220432267736158417911477958427509503<104>

8835641001308258203482522770081079899<37>
1967675759852361077156273939602791521008155797445944769442176170797<67>

N=17385676621031903434746695234358914781735707982622165103218197562241220432267736158417911477958427509503
  ( 104 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=8835641001308258203482522770081079899 (pp37)
 r2=1967675759852361077156273939602791521008155797445944769442176170797 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.40 hours.
Scaled time: 3.14 units (timescale=7.874).
Factorization parameters were as follows:
n: 17385676621031903434746695234358914781735707982622165103218197562241220432267736158417911477958427509503
m: 100000000000000000000000000000
deg: 4
c4: 2
c0: -695
skew: 4.32
# Murphy_E = 7.863e-08
type: snfs
lss: 1
rlim: 610000
alim: 610000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 610000/610000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [305000, 565001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 65640 x 65886
Total sieving time: 0.39 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116.000,4,0,0,0,0,0,0,0,0,610000,610000,25,25,45,45,2.2,2.2,20000
total time: 0.40 hours.

GMP,ECM

19129419121497412363556359148212090511322658745805265862603975765624438868712402327<83>

6870105409603319539679803276520369<34>
2784443320877946561495003352814816277384397629383<49>

N=19129419121497412363556359148212090511322658745805265862603975765624438868712402327
  ( 83 digits)
Divisors found:
 r1=6870105409603319539679803276520369 (pp34)
 r2=2784443320877946561495003352814816277384397629383 (pp49)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.20 hours.
Scaled time: 1.56 units (timescale=7.868).
Factorization parameters were as follows:
name: 1
n:  19129419121497412363556359148212090511322658745805265862603975765624438868712402327
m:  11553086728474315616
deg: 4
c4: 1073766
c3: -2869250531
c2: 767742599546687
c1: 8010427918290357
c0: -479870158107732810057
skew: 1379.250
type: gnfs
# adj. I(F,S) = 46.029
# E(F1,F2) = 1.816735e-003
# GGNFS version 0.77.1-VC8(UTE) polyselect.
# Options were: 
# lcd=1, enumLCD=2, maxS1=56.00000000, seed=1640720148.
# maxskew=1500.0
# These parameters should be manually set:
rlim: 550000
alim: 550000
lpbr: 24
lpba: 24
mfbr: 40
mfba: 40
rlambda: 1.9
alambda: 1.9
qintsize: 10000

type: gnfs
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 24/24
Max factor residue bits: 40/40
Sieved algebraic special-q in [275000, 665001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 55367 x 55593
Total sieving time: 0.19 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,82,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,550000,550000,24,24,40,40,1.9,1.9,10000
total time: 0.20 hours

GNFS, Msieve

404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404039<120>

46858741617182018489746617687023943070948447220444776511<56>
8622519301548032914666342869988324238317751161032867888605805049<64>

N=404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404039
  ( 120 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=46858741617182018489746617687023943070948447220444776511 (pp56)
 r2=8622519301548032914666342869988324238317751161032867888605805049 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.80 hours.
Scaled time: 6.24 units (timescale=7.843).
Factorization parameters were as follows:
n: 404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404040404039
m: 1000000000000000000000000000000
deg: 4
c4: 40
c0: -139
skew: 1.37
# Murphy_E = 3.866e-08
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 595001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 82716 x 82944
Total sieving time: 0.79 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,75000
total time: 0.80 hours.

GNFS, Msieve

4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444429<124>

5662969903928192239074891424664643667<37>
784825722164177163225391099393816994257487235597273003097555058201260822656193459136287<87>

N=4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444429
  ( 124 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=5662969903928192239074891424664643667 (pp37)
 r2=784825722164177163225391099393816994257487235597273003097555058201260822656193459136287 (pp87)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.26 hours.
Scaled time: 9.94 units (timescale=7.868).
Factorization parameters were as follows:
n: 4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444429
m: 10000000000000000000000000000000
deg: 4
c4: 4
c0: -139
skew: 2.43
# Murphy_E = 2.879e-08
type: snfs
lss: 1
rlim: 840000
alim: 840000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 840000/840000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [420000, 795001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 82745 x 82971
Total sieving time: 1.25 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,124.000,4,0,0,0,0,0,0,0,0,840000,840000,25,25,46,46,2.2,2.2,75000
total time: 1.26 hours.

GNFS, Msieve

10955419107856829643062476501484243621725479818372497196558047876307372879220417783331991813992518406122008215212642073<119>

1287836090241310757221465787477878199972435526271559<52>
8506842750309969164958905002416476669535814469877453419453078713247<67>

CADO

STA:Wed 29 Dec 2021 15:40:10 AEDT (10,955,419,107,856,829,643,062,476,501,484,243,621,725,479,818,372,497,196,558,047,876,307,372,879,220,417,783,331,991,813,992,518,406,122,008,215,212,642,073 - C119)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 10955419107856829643062476501484243621725479818372497196558047876307372879220417783331991813992518406122008215212642073 2>&1 | tee -a log124

Debug:root: Looking for parameter file for c119 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.t2cvvqfc
Info:Database: Opened connection to database /tmp/cado.t2cvvqfc/c120.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1095541910785682964306247650148424362172547981837249719655804787630737287922041778333
1991813992518406122008215212642073
Debug:root: Root parameter dictionary:
N = 10955419107856829643062476501484243621725479818372497196558047876307372879220417783331991813992518406122008215212642073
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 10955419107856829643062476501484243621725479818372497196558047876307372879220417783331991813992518406122008215212642073
skew: 15964.96
c0: -125662279253665784565357760
c1: -55461578834884413797256
c2: -172297541224849717
c3: 204503344142058
c4: -7443241000
c5: 211200
Y0: -48291024016433793921549
Y1: 17184129396509689
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 2.12e-09
# f(x) = 211200*x^5-7443241000*x^4+204503344142058*x^3-172297541224849717*x^2-55461578834884413797256*x-125662279253665784565357760
# g(x) = 17184129396509689*x-48291024016433793921549
...
Info:Square Root: finished
Info:Square Root: Factors: 1287836090241310757221465787477878199972435526271559 8506842750309969164958905002416476669535814469877453419453078713247
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 792.05/111.919
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10532/34.230/42.151/46.340/1.046
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10532/33.830/37.405/42.640/1.055
Info:Polynomial Selection (size optimized): Total time: 1150.17
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 342.42
Info:Polynomial Selection (root optimized): Rootsieve time: 341.48
Info:Generate Factor Base: Total cpu/real time for makefb: 23.54/2.11663
Info:Generate Free Relations: Total cpu/real time for freerel: 150.19/9.95197
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 9946061
Info:Lattice Sieving: Average J: 7743.85 for 17393 special-q, max bucket fill: 0.607442
Info:Lattice Sieving: Total CPU time: 52960.8s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 24.59/31.0357
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 144.81/46.2872
Info:Filtering - Singleton removal: Total cpu/real time for purge: 68.91/32.0812
Info:Filtering - Merging: Total cpu/real time for merge: 409.65/330.314
Info:Filtering - Merging: Total cpu/real time for replay: 32.37/24.995
Info:Linear Algebra: Total cpu/real time for bwc: 16184.2/0.000462532
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 668.29
Info:Linear Algebra: Lingen CPU time 181.85, WCT time 18.2
Info:Linear Algebra: Mksol: WCT time 375.47
Info:Quadratic Characters: Total cpu/real time for characters: 32.68/7.76344
Info:Square Root: Total cpu/real time for sqrt: 792.05/111.919
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 72316.4/5341.7
Info:root: Cleaning up computation data in /tmp/cado.t2cvvqfc
1287836090241310757221465787477878199972435526271559 8506842750309969164958905002416476669535814469877453419453078713247

END:Wed 29 Dec 2021 17:09:12 AEDT (10,955,419,107,856,829,643,062,476,501,484,243,621,725,479,818,372,497,196,558,047,876,307,372,879,220,417,783,331,991,813,992,518,406,122,008,215,212,642,073 - C119)

640317597528374073540476076133762346123677343962605452304342954105236197153788278986377243112583841585426371480254206086218764507195569<135>

2002690772028275679723615588467908781161100054805774907<55>
319728640323176926741354576369674942422501835416744433528616086897591640901502467<81>

N=640317597528374073540476076133762346123677343962605452304342954105236197153788278986377243112583841585426371480254206086218764507195569
  ( 135 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=2002690772028275679723615588467908781161100054805774907 (pp55)
 r2=319728640323176926741354576369674942422501835416744433528616086897591640901502467 (pp81)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.28 hours.
Scaled time: 33.38 units (timescale=7.806).
Factorization parameters were as follows:
n: 640317597528374073540476076133762346123677343962605452304342954105236197153788278986377243112583841585426371480254206086218764507195569
m: 100000000000000000000000000000000000
deg: 4
c4: 2
c0: -695
skew: 4.32
# Murphy_E = 5.416e-09
type: snfs
lss: 1
rlim: 1530000
alim: 1530000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1530000/1530000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [765000, 1165001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 202573 x 202801
Total sieving time: 4.24 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,140.000,4,0,0,0,0,0,0,0,0,1530000,1530000,26,26,48,48,2.3,2.3,100000
total time: 4.28 hours.

GNFS, Msieve

2872756346860634613634239716102734713416499200566085470000940231559217733259871643798679129931682711<100>

386393435024912883852918022194200470421<39>
7434795952667809704363330023204953612754303651496717154586491<61>

prp39 = 386393435024912883852918022194200470421
prp61 = 7434795952667809704363330023204953612754303651496717154586491

Yafu

457070154206598547595024325759534756073055251736197993989145131652173846792795329510269627217554379296959875797<111>

134808884476640377284023048455098303086941811909126017<54>
3390504683582627358809332141446361225361422431115402112341<58>

N=457070154206598547595024325759534756073055251736197993989145131652173846792795329510269627217554379296959875797
  ( 111 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=134808884476640377284023048455098303086941811909126017 (pp54)
 r2=3390504683582627358809332141446361225361422431115402112341 (pp58)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.03 hours.
Scaled time: 55.12 units (timescale=7.843).
Factorization parameters were as follows:
n: 457070154206598547595024325759534756073055251736197993989145131652173846792795329510269627217554379296959875797
m: 1000000000000000000000000000000000000
deg: 4
c4: 4
c0: -139
skew: 2.43
# Murphy_E = 2.977e-09
type: snfs
lss: 1
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [900000, 1600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 282559 x 282784
Total sieving time: 6.97 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,144.000,4,0,0,0,0,0,0,0,0,1800000,1800000,26,26,49,49,2.3,2.3,100000
total time: 7.03 hours.

GNFS, Msieve

31949874311023145389555134536331897091930434807610991809362916265027780330987552640357605356854885801187752535948373<116>

3360748731088643745531220738952156544118845838513<49>
9506772706769320639494461593356507662537573058010788308517174549221<67>

N=31949874311023145389555134536331897091930434807610991809362916265027780330987552640357605356854885801187752535948373
  ( 116 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=3360748731088643745531220738952156544118845838513 (pp49)
 r2=9506772706769320639494461593356507662537573058010788308517174549221 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.77 hours.
Scaled time: 77.25 units (timescale=7.905).
Factorization parameters were as follows:
n: 31949874311023145389555134536331897091930434807610991809362916265027780330987552640357605356854885801187752535948373
m: 10000000000000000000000000000000000000
deg: 4
c4: 4
c0: -139
skew: 2.43
# Murphy_E = 1.865e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 360310 x 360556
Total sieving time: 9.71 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,148.000,4,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 9.77 hours.

GNFS, Msieve

165254544481278814822962965554705068911019042103098806079254127050778273279895904972598522209335548902663739283216452946042154919739274054741<141>

19024224137791291732653311565368735557<38>
8686532669314146933944514570950533482562851407293466657910525685889352071564409794103651927034828802513<103>

N=165254544481278814822962965554705068911019042103098806079254127050778273279895904972598522209335548902663739283216452946042154919739274054741
  ( 141 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=19024224137791291732653311565368735557 (pp38)
 r2=8686532669314146933944514570950533482562851407293466657910525685889352071564409794103651927034828802513 (pp103)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.76 hours.
Scaled time: 52.71 units (timescale=7.794).
Factorization parameters were as follows:
n: 165254544481278814822962965554705068911019042103098806079254127050778273279895904972598522209335548902663739283216452946042154919739274054741
m: 1000000000000000000000000000000
deg: 5
c5: 2
c0: -695
skew: 3.22
# Murphy_E = 1.67e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 1600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 309101 x 309328
Total sieving time: 6.69 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 6.76 hours.

GNFS, Msieve

5752762298203544943493871139189996598153186882531961376046800731106262421466133241306394304242738294976475643751325365115884247<127>

2380741358919163673640200358845344535624830124677685177111<58>
2416374326699331209112824673044862510738235365972618961261868326579777<70>

N=5752762298203544943493871139189996598153186882531961376046800731106262421466133241306394304242738294976475643751325365115884247
  ( 127 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=2380741358919163673640200358845344535624830124677685177111 (pp58)
 r2=2416374326699331209112824673044862510738235365972618961261868326579777 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.73 hours.
Scaled time: 53.16 units (timescale=7.893).
Factorization parameters were as follows:
n: 5752762298203544943493871139189996598153186882531961376046800731106262421466133241306394304242738294976475643751325365115884247
m: 1000000000000000000000000000000
deg: 5
c5: 4
c0: -139
skew: 2.03
# Murphy_E = 1.781e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 307046 x 307270
Total sieving time: 6.68 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 6.73 hours.

GNFS, Msieve

248384202344165116106182768341171955121092821273217732160339865405232452746522653069130102666344076737441985939<111>

3653226794735158973295754337737441977179343800072233999<55>
67990359290620431537347582389058354824802747174356288061<56>

CADO

STA:Thu 30 Dec 2021 21:48:39 AEDT (248,384,202,344,165,116,106,182,768,341,171,955,121,092,821,273,217,732,160,339,865,405,232,452,746,522,653,069,130,102,666,344,076,737,441,985,939 - C111)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 248384202344165116106182768341171955121092821273217732160339865405232452746522653069130102666344076737441985939 2>&1 | tee -a log130

Debug:root: Looking for parameter file for c111 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.396x24in
Info:Database: Opened connection to database /tmp/cado.396x24in/c110.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2483842023441651161061827683411719551210928212732177321603398654052324527465226530691
30102666344076737441985939
Debug:root: Root parameter dictionary:
N = 248384202344165116106182768341171955121092821273217732160339865405232452746522653069130102666344076737441985939
lim0 = 2910696
lim1 = 3533488
lpb0 = 25
lpb1 = 25
name = c110
...
n: 248384202344165116106182768341171955121092821273217732160339865405232452746522653069130102666344076737441985939
skew: 6317.421
c0: 3302114917971105165068964
c1: 179405478701355437973
c2: -662971746901044374
c3: 2208832572827
c4: 6672057210
c5: 277200
Y0: -1354747261325631855794
Y1: 75046063278380617
# MurphyE (Bf=3.53e+06,Bg=2.91e+06,area=2.96e+13) = 4.24e-09
# f(x) = 277200*x^5+6672057210*x^4+2208832572827*x^3-662971746901044374*x^2+179405478701355437973*x+3302114917971105165068964
# g(x) = 75046063278380617*x-1354747261325631855794
...
Info:Square Root: finished
Info:Square Root: Factors: 67990359290620431537347582389058354824802747174356288061 3653226794735158973295754337737441977179343800072233999
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 27840.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 28131/31.170/39.026/46.060/0.944
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 28131/30.310/35.404/39.780/1.203
Info:Polynomial Selection (size optimized): Total time: 968.84
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 252.16
Info:Polynomial Selection (root optimized): Rootsieve time: 251.23
Info:Generate Factor Base: Total cpu/real time for makefb: 4.32/0.407259
Info:Generate Free Relations: Total cpu/real time for freerel: 35.86/2.39074
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3979953
Info:Lattice Sieving: Average J: 1899.49 for 126294 special-q, max bucket fill: 0.777224
Info:Lattice Sieving: Total CPU time: 30724s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.67/10.561
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 9.999999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 73.58/39.9587
Info:Filtering - Singleton removal: Total cpu/real time for purge: 58.07/33.3309
Info:Filtering - Merging: Total cpu/real time for merge: 128.31/106.19
Info:Filtering - Merging: Total cpu/real time for replay: 12.79/9.8374
Info:Linear Algebra: Total cpu/real time for bwc: 2965.15/0.000334978
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 119.03
Info:Linear Algebra: Lingen CPU time 71.37, WCT time 7.31
Info:Linear Algebra: Mksol: WCT time 71.82
Info:Quadratic Characters: Total cpu/real time for characters: 12.37/2.86565
Info:Square Root: Total cpu/real time for sqrt: 267.07/37.6569
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 35512.2/2585.37
Info:root: Cleaning up computation data in /tmp/cado.396x24in
67990359290620431537347582389058354824802747174356288061 3653226794735158973295754337737441977179343800072233999

END:Thu 30 Dec 2021 22:31:45 AEDT (248,384,202,344,165,116,106,182,768,341,171,955,121,092,821,273,217,732,160,339,865,405,232,452,746,522,653,069,130,102,666,344,076,737,441,985,939 - C111)

6193918122111870119294848346280895499506624391873644684335591247994265528549849551181676298818228592412332152244486185229<121>

580541911253045878250091750083824865068175816054675749982999<60>
10669200624538669830905685012259074809445459741322569731707771<62>

N=6193918122111870119294848346280895499506624391873644684335591247994265528549849551181676298818228592412332152244486185229
  ( 121 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=580541911253045878250091750083824865068175816054675749982999 (pp60)
 r2=10669200624538669830905685012259074809445459741322569731707771 (pp62)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.05 hours.
Scaled time: 62.63 units (timescale=7.776).
Factorization parameters were as follows:
n: 6193918122111870119294848346280895499506624391873644684335591247994265528549849551181676298818228592412332152244486185229
m: 2000000000000000000000000000000
deg: 5
c5: 125
c0: -139
skew: 1.02
# Murphy_E = 1.164e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 466310 x 466535
Total sieving time: 7.97 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 8.05 hours.

GNFS, Msieve

1777503831597603509802417611308249442797164422413100282377072087564274191964404048828749028617855339619453390092622575318059<124>

9473108189443541057816337354126949304012933464725811<52>
187636813182222897464924961615158165286026648953739092110632848610896169<72>

N=1777503831597603509802417611308249442797164422413100282377072087564274191964404048828749028617855339619453390092622575318059
  ( 124 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=9473108189443541057816337354126949304012933464725811 (pp52)
 r2=187636813182222897464924961615158165286026648953739092110632848610896169 (pp72)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.38 hours.
Scaled time: 73.97 units (timescale=7.886).
Factorization parameters were as follows:
n: 1777503831597603509802417611308249442797164422413100282377072087564274191964404048828749028617855339619453390092622575318059
m: 10000000000000000000000000000000
deg: 5
c5: 2
c0: -695
skew: 3.22
# Murphy_E = 1.077e-09
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 439837 x 440063
Total sieving time: 9.30 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 9.38 hours.

GNFS, Msieve

21617562464936832838196485192289017535532801788128583836968403871277063043699374238636053594514664371548574096448552527574221<125>

2513401242929559171908260489751097508252721583807176999327<58>
8600919779819926169200841224712154393253936628458831750484007791123<67>

CADO

STA:Fri 31 Dec 2021 17:27:24 AEDT (21,617,562,464,936,832,838,196,485,192,289,017,535,532,801,788,128,583,836,968,403,871,277,063,043,699,374,238,636,053,594,514,664,371,548,574,096,448,552,527,574,221 - C125)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 21617562464936832838196485192289017535532801788128583836968403871277063043699374238636053594514664371548574096448552527574221 2>&1 | tee -a log137

Debug:root: Looking for parameter file for c125 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.9gdwtzk3
Info:Database: Opened connection to database /tmp/cado.9gdwtzk3/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2161756246493683283819648519228901753553280178812858383696840387127706304369937423863
6053594514664371548574096448552527574221
Debug:root: Root parameter dictionary:
N = 21617562464936832838196485192289017535532801788128583836968403871277063043699374238636053594514664371548574096448552527574221
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
...
n: 21617562464936832838196485192289017535532801788128583836968403871277063043699374238636053594514664371548574096448552527574221
skew: 128342.205
c0: 6671728537844808918135007801
c1: 27534309488035908996588306
c2: 288379564977427897291
c3: -3482627453195574
c4: 214161760
c5: 38400
Y0: -1229950993862227277723514
Y1: 72570651068424473
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 6.44e-10
# f(x) = 38400*x^5+214161760*x^4-3482627453195574*x^3+288379564977427897291*x^2+27534309488035908996588306*x+6671728537844808918135007801
# g(x) = 72570651068424473*x-1229950993862227277723514
...
Info:Square Root: finished
Info:Square Root: Factors: 8600919779819926169200841224712154393253936628458831750484007791123 2513401242929559171908260489751097508252721583807176999327
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1057.31/145.537
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21528/35.620/44.271/47.720/0.855
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21528/35.340/40.020/45.070/1.303
Info:Polynomial Selection (size optimized): Total time: 1757.39
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1086.42
Info:Polynomial Selection (root optimized): Rootsieve time: 1085.5
Info:Generate Factor Base: Total cpu/real time for makefb: 11.59/1.07149
Info:Generate Free Relations: Total cpu/real time for freerel: 148.94/9.84726
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13067478
Info:Lattice Sieving: Average J: 3795.53 for 200389 special-q, max bucket fill: 0.715239
Info:Lattice Sieving: Total CPU time: 141093s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 34.18/39.564
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 188.7/56.4177
Info:Filtering - Singleton removal: Total cpu/real time for purge: 131.67/50.64
Info:Filtering - Merging: Total cpu/real time for merge: 251.39/205.029
Info:Filtering - Merging: Total cpu/real time for replay: 22.32/16.6974
Info:Linear Algebra: Total cpu/real time for bwc: 9725.84/0.000166416
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 405.0
Info:Linear Algebra: Lingen CPU time 141.07, WCT time 14.14
Info:Linear Algebra: Mksol: WCT time 219.77
Info:Quadratic Characters: Total cpu/real time for characters: 24.04/5.62472
Info:Square Root: Total cpu/real time for sqrt: 1057.31/145.537
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 155533/10644.9
Info:root: Cleaning up computation data in /tmp/cado.9gdwtzk3
8600919779819926169200841224712154393253936628458831750484007791123 2513401242929559171908260489751097508252721583807176999327

END:Fri 31 Dec 2021 20:24:49 AEDT (21,617,562,464,936,832,838,196,485,192,289,017,535,532,801,788,128,583,836,968,403,871,277,063,043,699,374,238,636,053,594,514,664,371,548,574,096,448,552,527,574,221 - C125)

946029575805899999048997014260016757627501273717572348924873999631085541935955386239353155838873867403653884617754080749<120>

118235851400212554888988119987472181898223<42>
8001207456135418019972808624429031665757863242664247177003804532309535048404963<79>

CADO

STA:Fri 31 Dec 2021 11:47:46 AEDT (946,029,575,805,899,999,048,997,014,260,016,757,627,501,273,717,572,348,924,873,999,631,085,541,935,955,386,239,353,155,838,873,867,403,653,884,617,754,080,749 - C120)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 946029575805899999048997014260016757627501273717572348924873999631085541935955386239353155838873867403653884617754080749 2>&1 | tee -a log135

Debug:root: Looking for parameter file for c120 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.74c3uw18
Info:Database: Opened connection to database /tmp/cado.74c3uw18/c120.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 9460295758058999990489970142600167576275012737175723489248739996310855419359553862393
53155838873867403653884617754080749
Debug:root: Root parameter dictionary:
N = 946029575805899999048997014260016757627501273717572348924873999631085541935955386239353155838873867403653884617754080749
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 946029575805899999048997014260016757627501273717572348924873999631085541935955386239353155838873867403653884617754080749
skew: 30343.463
c0: 2351743012953310960164380880
c1: -454531847523799191541730
c2: 12383181730973820189
c3: 408741569864171
c4: 12240452220
c5: 79200
Y0: -87093773528362078316759
Y1: 3709965504294538823
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.8e-09
# f(x) = 79200*x^5+12240452220*x^4+408741569864171*x^3+12383181730973820189*x^2-454531847523799191541730*x+2351743012953310960164380880
# g(x) = 3709965504294538823*x-87093773528362078316759
...
Info:Square Root: finished
Info:Square Root: Factors: 118235851400212554888988119987472181898223 8001207456135418019972808624429031665757863242664247177003804532309535048404963
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 860.46/121.877
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10711/36.540/42.927/48.260/1.040
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10711/34.330/38.125/43.390/1.112
Info:Polynomial Selection (size optimized): Total time: 1143.7
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 414.63
Info:Polynomial Selection (root optimized): Rootsieve time: 413.68
Info:Generate Factor Base: Total cpu/real time for makefb: 23.71/2.15813
Info:Generate Free Relations: Total cpu/real time for freerel: 150.46/9.9348
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 9937018
Info:Lattice Sieving: Average J: 7803.77 for 18880 special-q, max bucket fill: 0.617965
Info:Lattice Sieving: Total CPU time: 57033.8s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 25.06/30.6618
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 146.95/45.9405
Info:Filtering - Singleton removal: Total cpu/real time for purge: 62.54/32.4998
Info:Filtering - Merging: Total cpu/real time for merge: 463.87/377.693
Info:Filtering - Merging: Total cpu/real time for replay: 35.79/28.0341
Info:Linear Algebra: Total cpu/real time for bwc: 19385.2/0.000328541
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 912.83
Info:Linear Algebra: Lingen CPU time 216.59, WCT time 21.23
Info:Linear Algebra: Mksol: WCT time 445.6
Info:Quadratic Characters: Total cpu/real time for characters: 35.54/8.32575
Info:Square Root: Total cpu/real time for sqrt: 860.46/121.877
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 79781.7/6063.51
Info:root: Cleaning up computation data in /tmp/cado.74c3uw18
118235851400212554888988119987472181898223 8001207456135418019972808624429031665757863242664247177003804532309535048404963

END:Fri 31 Dec 2021 13:28:50 AEDT (946,029,575,805,899,999,048,997,014,260,016,757,627,501,273,717,572,348,924,873,999,631,085,541,935,955,386,239,353,155,838,873,867,403,653,884,617,754,080,749 - C120)

35746644113745891166471914491112899467828301665539734001057036307199407135809452060587920787583430293780410820351982854361771314794254866897489977<146>

133841916715356443238547324077941028209297469523721738723824649902268521<72>
267081083348266751696514887292581991211690918327758093700265907837514790737<75>

N=35746644113745891166471914491112899467828301665539734001057036307199407135809452060587920787583430293780410820351982854361771314794254866897489977
  ( 146 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=133841916715356443238547324077941028209297469523721738723824649902268521 (pp72)
 r2=267081083348266751696514887292581991211690918327758093700265907837514790737 (pp75)
Version: Msieve v. 1.52 (SVN 927)
Total time: 18.62 hours.
Scaled time: 147.47 units (timescale=7.918).
Factorization parameters were as follows:
n: 35746644113745891166471914491112899467828301665539734001057036307199407135809452060587920787583430293780410820351982854361771314794254866897489977
m: 1000000000000000000000000000000000
deg: 5
c5: 4
c0: -139
skew: 2.03
# Murphy_E = 4.696e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 3400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 588705 x 588930
Total sieving time: 18.52 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 18.62 hours.

GNFS, Msieve

30363052947789355180563757262172447010198397551546483492258682049288250603580826474027879110900345797340913295167946886584449019<128>

237388157537627184097374485408188962118299091001343959<54>
127904665770771074688903978717809796484324385506591449661979851781985801341<75>

CADO

STA:Sat 01 Jan 2022 16:16:22 AEDT (30,363,052,947,789,355,180,563,757,262,172,447,010,198,397,551,546,483,492,258,682,049,288,250,603,580,826,474,027,879,110,900,345,797,340,913,295,167,946,886,584,449,019 - C128)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 30363052947789355180563757262172447010198397551546483492258682049288250603580826474027879110900345797340913295167946886584449019 2>&1 | tee -a log143

Debug:root: Looking for parameter file for c128 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.v6qpl_9r
Info:Database: Opened connection to database /tmp/cado.v6qpl_9r/c130.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 3036305294778935518056375726217244701019839755154648349225868204928825060358082647402
7879110900345797340913295167946886584449019
Debug:root: Root parameter dictionary:
N = 30363052947789355180563757262172447010198397551546483492258682049288250603580826474027879110900345797340913295167946886584449019
lim0 = 11872741
lim1 = 45278470
lpb0 = 27
lpb1 = 28
name = c130
...
n: 30363052947789355180563757262172447010198397551546483492258682049288250603580826474027879110900345797340913295167946886584449019
skew: 274278.329
c0: 2822600997878498829198005679780
c1: -93604831914309645248378128
c2: -121909271529365548351
c3: -58809852476009
c4: -3806184592
c5: 4800
Y0: -7601547747684049158875956
Y1: 29661848645545639
# MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 2.25e-09
# f(x) = 4800*x^5-3806184592*x^4-58809852476009*x^3-121909271529365548351*x^2-93604831914309645248378128*x+2822600997878498829198005679780
# g(x) = 29661848645545639*x-7601547747684049158875956
...
Info:Square Root: finished
Info:Square Root: Factors: 237388157537627184097374485408188962118299091001343959 127904665770771074688903978717809796484324385506591449661979851781985801341
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1276.61/177.318
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38534/38.410/45.496/49.790/0.855
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 38534/36.760/40.838/46.430/1.040
Info:Polynomial Selection (size optimized): Total time: 5818.28
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1947.79
Info:Polynomial Selection (root optimized): Rootsieve time: 1946.83
Info:Generate Factor Base: Total cpu/real time for makefb: 58.62/5.20594
Info:Generate Free Relations: Total cpu/real time for freerel: 302.69/19.9993
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19273489
Info:Lattice Sieving: Average J: 7938.88 for 59058 special-q, max bucket fill: 0.607606
Info:Lattice Sieving: Total CPU time: 199260s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.76/68.9744
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 68.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 329/103.859
Info:Filtering - Singleton removal: Total cpu/real time for purge: 218.93/85.943
Info:Filtering - Merging: Total cpu/real time for merge: 911.48/828.961
Info:Filtering - Merging: Total cpu/real time for replay: 78.29/70.6305
Info:Linear Algebra: Total cpu/real time for bwc: 44028.4/0.000324488
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1937.34
Info:Linear Algebra: Lingen CPU time 311.81, WCT time 30.48
Info:Linear Algebra: Mksol: WCT time 1029.65
Info:Quadratic Characters: Total cpu/real time for characters: 51.96/12.3751
Info:Square Root: Total cpu/real time for sqrt: 1276.61/177.318
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 254332/18321
Info:root: Cleaning up computation data in /tmp/cado.v6qpl_9r
237388157537627184097374485408188962118299091001343959 127904665770771074688903978717809796484324385506591449661979851781985801341

END:Sat 01 Jan 2022 21:21:44 AEDT (30,363,052,947,789,355,180,563,757,262,172,447,010,198,397,551,546,483,492,258,682,049,288,250,603,580,826,474,027,879,110,900,345,797,340,913,295,167,946,886,584,449,019 - C128)

21066711277852790442444995573830896527073608664640564955278264984659378123081763906409272319616585254917056169882961558241402407203<131>

1610885158110900235470820490626850769292829<43>
13077723866149412859800311584734383453357827636363864538321962079458500321160012466540607<89>

Number: n
N=21066711277852790442444995573830896527073608664640564955278264984659378123081763906409272319616585254917056169882961558241402407203  ( 131 digits)
SNFS difficulty: 168 digits.
Divisors found:

Fri Jan  7 23:09:35 2022  p43 factor: 1610885158110900235470820490626850769292829
Fri Jan  7 23:09:35 2022  p89 factor: 13077723866149412859800311584734383453357827636363864538321962079458500321160012466540607
Fri Jan  7 23:09:35 2022  elapsed time 00:09:18 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.299).
Factorization parameters were as follows:
#
# N = 4x10^168-139 = 8(166)58
#
n: 21066711277852790442444995573830896527073608664640564955278264984659378123081763906409272319616585254917056169882961558241402407203
m: 2000000000000000000000000000000000
deg: 5
c5: 125
c0: -139
skew: 1.02
# Murphy_E = 3.05e-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 2466598 hash collisions in 20646655 relations (18975016 unique)
Msieve: matrix is 518499 x 518724 (172.9 MB)

Sieving start time : 2022/01/07 22:13:21
Sieving end time  : 2022/01/07 22:59:53

Total sieving time: 0hrs 46min 32secs.

Total relation processing time: 0hrs 3min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 51sec.

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) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

1532567049808429118773946360153256704980842911877394636015325670498084291187739463601532567049808429118773946360153256704980842911877394636015325670498084291187739463601<169>

34429139506873817984293169942820445080996833126536790502883<59>
44513661153292847013841566967885221576095777410350422511062116705926674062063360643620008642923718099504070747<110>

Number: n
N=1532567049808429118773946360153256704980842911877394636015325670498084291187739463601532567049808429118773946360153256704980842911877394636015325670498084291187739463601  ( 169 digits)
SNFS difficulty: 170 digits.
Divisors found:

Tue Jan  4 14:50:48 2022  p59 factor: 34429139506873817984293169942820445080996833126536790502883
Tue Jan  4 14:50:48 2022  p110 factor: 44513661153292847013841566967885221576095777410350422511062116705926674062063360643620008642923718099504070747
Tue Jan  4 14:50:48 2022  elapsed time 00:09:34 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.291).
Factorization parameters were as follows:
#
# N = 4x10^170-139 = 8(168)58
#
n: 1532567049808429118773946360153256704980842911877394636015325670498084291187739463601532567049808429118773946360153256704980842911877394636015325670498084291187739463601
m: 10000000000000000000000000000000000
deg: 5
c5: 4
c0: -139
skew: 2.03
# Murphy_E = 2.982e-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 2674893 hash collisions in 21650405 relations (19797875 unique)
Msieve: matrix is 526976 x 527201 (177.5 MB)

Sieving start time : 2022/01/04 13:55:20
Sieving end time  : 2022/01/04 14:40:49

Total sieving time: 0hrs 45min 29secs.

Total relation processing time: 0hrs 3min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 21sec.

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) ----------
[    0.116212] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153541] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798280)
[    0.152035] smpboot: Total of 16 processors activated (102386.24 BogoMIPS)

103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103<171>

3524131319476312265659515826393281382428794357<46>
29328978904785595104688205084953270274833498569450254570976993606842665158281012335692390873974202920583774103931095420068779<125>

Number: n
N=103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103  ( 171 digits)
SNFS difficulty: 172 digits.
Divisors found:

Tue Jan  4 09:07:28 2022  p46 factor: 3524131319476312265659515826393281382428794357
Tue Jan  4 09:07:28 2022  p125 factor: 29328978904785595104688205084953270274833498569450254570976993606842665158281012335692390873974202920583774103931095420068779
Tue Jan  4 09:07:28 2022  elapsed time 00:11:28 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 4x10^172-139 = 8(170)58
#
n: 103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103
m: 10000000000000000000000000000000000
deg: 5
c5: 400
c0: -139
skew: 0.81
# Murphy_E = 2.092e-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, 15450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2710462 hash collisions in 20342978 relations (18343191 unique)
Msieve: matrix is 641063 x 641290 (216.6 MB)

Sieving start time : 2022/01/04 07:38:46
Sieving end time  : 2022/01/04 08:55:33

Total sieving time: 1hrs 16min 47secs.

Total relation processing time: 0hrs 6min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 36sec.

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) ----------
[    0.116212] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153541] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798280)
[    0.152035] smpboot: Total of 16 processors activated (102386.24 BogoMIPS)

1438331535418914059690758719884933477166486875224739302409205321826681049982020855807263574253865516001438331535418914059690758719884933477166486875224739302409205321826681<172>

86479505593248598953387278981886386885873046971<47>
16632050860512825425747357842171919143387928995258774289558239488279593870555140932324850044905228768107409001518243446610011<125>

Number: n
N=1438331535418914059690758719884933477166486875224739302409205321826681049982020855807263574253865516001438331535418914059690758719884933477166486875224739302409205321826681  ( 172 digits)
SNFS difficulty: 175 digits.
Divisors found:

Tue Jan  4 02:12:53 2022  p47 factor: 86479505593248598953387278981886386885873046971
Tue Jan  4 02:12:53 2022  p125 factor: 16632050860512825425747357842171919143387928995258774289558239488279593870555140932324850044905228768107409001518243446610011
Tue Jan  4 02:12:53 2022  elapsed time 00:17:33 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.294).
Factorization parameters were as follows:
#
# N = 4x10^174-139 = 8(172)58
#
n: 1438331535418914059690758719884933477166486875224739302409205321826681049982020855807263574253865516001438331535418914059690758719884933477166486875224739302409205321826681
m: 100000000000000000000000000000000000
deg: 5
c5: 2
c0: -695
skew: 3.22
# Murphy_E = 1.772e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5110918 hash collisions in 33965388 relations (30581609 unique)
Msieve: matrix is 940257 x 940501 (159.6 MB)

Sieving start time : 2022/01/04 00:00:29
Sieving end time  : 2022/01/04 01:54:47

Total sieving time: 1hrs 54min 18secs.

Total relation processing time: 0hrs 8min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 32sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116212] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153541] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798280)
[    0.152035] smpboot: Total of 16 processors activated (102386.24 BogoMIPS)

212016633922020819665079891501929263008009543384983530193256448312076117271910941502175405575000145716306835980252822778010051779<129>

16788239052555749694813855778633656975172569631<47>
12628878660727943761444309046854562473911209768275743994833400981346183096449702109<83>

N=212016633922020819665079891501929263008009543384983530193256448312076117271910941502175405575000145716306835980252822778010051779
  ( 129 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=16788239052555749694813855778633656975172569631 (pp47)
 r2=12628878660727943761444309046854562473911209768275743994833400981346183096449702109 (pp83)
Version: Msieve v. 1.52 (SVN 927)
Total time: 51.57 hours.
Scaled time: 405.78 units (timescale=7.868).
Factorization parameters were as follows:
n: 212016633922020819665079891501929263008009543384983530193256448312076117271910941502175405575000145716306835980252822778010051779
m: 100000000000000000000000000000000000
deg: 5
c5: 40
c0: -139
skew: 1.28
# Murphy_E = 1.456e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 6550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1223847 x 1224077
Total sieving time: 51.13 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 51.57 hours.

GNFS, Msieve

1057684014574617592034269440891839418823200065160464415679814037442115627249901150252690694959847954108629468640088674544404835132813156146708849<145>

20045665560399069895576512416842136821681<41>
131661130426964810658182497872379602414330878813<48>
400754013737532537063177960053079071628028764610668190133<57>

N=1057684014574617592034269440891839418823200065160464415679814037442115627249901150252690694959847954108629468640088674544404835132813156146708849
  ( 145 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=20045665560399069895576512416842136821681 (pp41)
 r2=131661130426964810658182497872379602414330878813 (pp48)
 r3=400754013737532537063177960053079071628028764610668190133 (pp57)
Version: Msieve v. 1.52 (SVN 927)
Total time: 62.44 hours.
Scaled time: 492.84 units (timescale=7.893).
Factorization parameters were as follows:
n: 1057684014574617592034269440891839418823200065160464415679814037442115627249901150252690694959847954108629468640088674544404835132813156146708849
m: 1000000000000000000000000000000000000
deg: 5
c5: 4
c0: -139
skew: 2.03
# Murphy_E = 1.186e-10
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 7700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1197829 x 1198054
Total sieving time: 62.07 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 62.44 hours.

GNFS, Msieve

36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723<137>

638775991261361453099669239061801772831399273099226127<54>
56538845802726718731129250649176941082727861753523835090648265644360550447593168549<83>

01/30/22 00:02:37, 
01/30/22 00:02:37, ****************************
01/30/22 00:02:37, Starting factorization of 888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888858
01/30/22 00:02:37, using pretesting plan: normal
01/30/22 00:02:37, using specified qs/gnfs crossover of 100 digits
01/30/22 00:02:37, using specified qs/snfs crossover of 75 digits
01/30/22 00:02:37, ****************************
01/30/22 00:02:37, div: found prime factor = 2
01/30/22 00:02:37, div: found prime factor = 3
01/30/22 00:02:37, div: found prime factor = 11
01/30/22 00:02:37, div: found prime factor = 13
01/30/22 00:02:37, div: found prime factor = 17
01/30/22 00:02:37, div: found prime factor = 151
01/30/22 00:02:37, div: found prime factor = 1021
01/30/22 00:02:37, rho: x^2 + 3, starting 1000 iterations on C174
01/30/22 00:02:37, prp10 = 1204275703
01/30/22 00:02:37, rho: x^2 + 3, starting 1000 iterations on C165
01/30/22 00:02:38, rho: x^2 + 2, starting 1000 iterations on C165
01/30/22 00:02:38, rho: x^2 + 1, starting 1000 iterations on C165
01/30/22 00:02:38, nfs: input divides 10^186 - 34750
01/30/22 00:02:38, nfs: using supplied cofactor: 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781
01/30/22 00:02:38, nfs: input divides 10^186 - 34750
01/30/22 00:02:38, nfs: using supplied cofactor: 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781
01/30/22 00:02:38, nfs: commencing snfs on c165: 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781
01/30/22 00:02:38, pm1: starting B1 = 150K, B2 = gmp-ecm default on C165
01/30/22 00:02:38, nfs: input divides 10^186 - 34750
01/30/22 00:02:38, nfs: using supplied cofactor: 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781
01/30/22 00:02:38, nfs: commencing snfs on c165: 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781
01/30/22 00:02:38, current ECM pretesting depth: 0.00
01/30/22 00:02:38, scheduled 30 curves at B1=2000 toward target pretesting depth of 39.49
01/30/22 00:02:38, ecm: commencing 48 curves using AVX-ECM method on 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781, B1=2k, B2=200k
01/30/22 00:02:38, ecm: finished 384 curves using AVX-ECM method on C165 input, B1=2k, B2=200k
01/30/22 00:02:38, nfs: input divides 10^186 - 34750
01/30/22 00:02:38, nfs: using supplied cofactor: 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781
01/30/22 00:02:38, nfs: commencing snfs on c165: 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781
01/30/22 00:02:38, current ECM pretesting depth: 17.27
01/30/22 00:02:38, scheduled 74 curves at B1=11000 toward target pretesting depth of 39.49
01/30/22 00:02:39, ecm: commencing 96 curves using AVX-ECM method on 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781, B1=11k, B2=1100k
01/30/22 00:02:39, ecm: finished 384 curves using AVX-ECM method on C165 input, B1=11k, B2=1100k
01/30/22 00:02:39, nfs: input divides 10^186 - 34750
01/30/22 00:02:39, nfs: using supplied cofactor: 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781
01/30/22 00:02:39, nfs: commencing snfs on c165: 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781
01/30/22 00:02:39, current ECM pretesting depth: 21.28
01/30/22 00:02:39, scheduled 214 curves at B1=50000 toward target pretesting depth of 39.49
01/30/22 00:02:40, ecm: commencing 240 curves using AVX-ECM method on 328233311764297328640065482541637899446025236713253969880554406209526606370506690936025306241512947917611706169849857746407974163882184938066092392960341631324289781, B1=50k, B2=5M
01/30/22 00:02:40, ecm: finished 0 curves using AVX-ECM method on C165 input, B1=50k, B2=5M
01/30/22 00:02:41, prp28 = 9088393692755686935885383647 (curve=186 stg=2 B1=50000 B2=5000000 sigma=1629842363 thread=23 vecpos=2)
01/30/22 00:02:41, nfs: input divides 10^186 - 34750
01/30/22 00:02:41, nfs: using supplied cofactor: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:02:41, nfs: commencing snfs on c137: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:02:41, current ECM pretesting depth: 21.28
01/30/22 00:02:41, scheduled 214 curves at B1=50000 toward target pretesting depth of 32.79
01/30/22 00:02:41, ecm: commencing 240 curves using AVX-ECM method on 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723, B1=50k, B2=5M
01/30/22 00:02:42, ecm: finished 384 curves using AVX-ECM method on C137 input, B1=50k, B2=5M
01/30/22 00:02:42, nfs: input divides 10^186 - 34750
01/30/22 00:02:42, nfs: using supplied cofactor: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:02:42, nfs: commencing snfs on c137: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:02:42, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C137
01/30/22 00:02:43, nfs: input divides 10^186 - 34750
01/30/22 00:02:43, nfs: using supplied cofactor: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:02:43, nfs: commencing snfs on c137: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:02:43, current ECM pretesting depth: 25.62
01/30/22 00:02:43, scheduled 430 curves at B1=250000 toward target pretesting depth of 32.79
01/30/22 00:02:44, ecm: commencing 432 curves using AVX-ECM method on 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723, B1=250k, B2=25M
01/30/22 00:02:51, ecm: finished 768 curves using AVX-ECM method on C137 input, B1=250k, B2=25M
01/30/22 00:02:52, nfs: input divides 10^186 - 34750
01/30/22 00:02:52, nfs: using supplied cofactor: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:02:52, nfs: commencing snfs on c137: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:02:52, pm1: starting B1 = 15M, B2 = gmp-ecm default on C137
01/30/22 00:02:56, nfs: input divides 10^186 - 34750
01/30/22 00:02:56, nfs: using supplied cofactor: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:02:56, nfs: commencing snfs on c137: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:02:56, current ECM pretesting depth: 30.81
01/30/22 00:02:56, scheduled 358 curves at B1=1000000 toward target pretesting depth of 32.79
01/30/22 00:02:58, ecm: commencing 384 curves using AVX-ECM method on 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723, B1=1M, B2=100M
01/30/22 00:03:12, ecm: finished 384 curves using AVX-ECM method on C137 input, B1=1M, B2=100M
01/30/22 00:03:13, nfs: input divides 10^186 - 34750
01/30/22 00:03:13, nfs: using supplied cofactor: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:03:13, nfs: commencing snfs on c137: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:03:13, final ECM pretested depth: 32.93
01/30/22 00:03:13, scheduler: switching to sieve method
01/30/22 00:03:13, nfs: commencing nfs on c137: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:03:13, nfs: input divides 10^186 - 34750
01/30/22 00:03:13, nfs: using supplied cofactor: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:03:13, nfs: commencing snfs on c137: 36115657272410025155234139940595968240286508424824659663639265252223784999065924151931856093451921926098174673588710571907851463775479723
01/30/22 00:03:14, test: fb generation took 1.2889 seconds
01/30/22 00:03:14, test: commencing test sieving of polynomial 0 on the rational side over range 11500000-11501000
skew: 6.8948
c5: 1
c0: -3475
Y1: -1
Y0: 10000000000000000000000000000000000000
rlim: 11500000
alim: 11500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 00:04:43, nfs: parsing special-q from .dat file
01/30/22 00:04:43, test: new best estimated total sieving time = 1h 19m 13s (with 48 threads)
01/30/22 00:04:44, test: fb generation took 1.3632 seconds
01/30/22 00:04:44, test: commencing test sieving of polynomial 1 on the rational side over range 12000000-12001000
skew: 14.3004
c5: 1
c0: -111200
Y1: -1
Y0: 20000000000000000000000000000000000000
rlim: 12000000
alim: 12000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 00:05:55, nfs: parsing special-q from .dat file
01/30/22 00:05:55, test: estimated total sieving time = 1h 26m 52s (with 48 threads)
01/30/22 00:05:57, test: fb generation took 1.9424 seconds
01/30/22 00:05:57, test: commencing test sieving of polynomial 2 on the algebraic side over range 11000000-11001000
skew: 2.0000
c6: 1
c0: -34750
Y1: -1
Y0: 10000000000000000000000000000000
rlim: 11000000
alim: 11000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 00:07:01, nfs: parsing special-q from .dat file
01/30/22 00:07:01, test: estimated total sieving time = 2h 30m 54s (with 48 threads)
01/30/22 00:07:01, nfs: commencing lattice sieving with 48 threads
01/30/22 00:08:05, nfs: commencing lattice sieving with 48 threads
01/30/22 00:09:11, nfs: commencing lattice sieving with 48 threads
01/30/22 00:10:18, nfs: commencing lattice sieving with 48 threads
01/30/22 00:11:24, nfs: commencing lattice sieving with 48 threads
01/30/22 00:12:30, nfs: commencing lattice sieving with 48 threads
01/30/22 00:13:36, nfs: commencing lattice sieving with 48 threads
01/30/22 00:14:44, nfs: commencing lattice sieving with 48 threads
01/30/22 00:15:50, nfs: commencing lattice sieving with 48 threads
01/30/22 00:16:55, nfs: commencing lattice sieving with 48 threads
01/30/22 00:18:02, nfs: commencing lattice sieving with 48 threads
01/30/22 00:19:09, nfs: commencing lattice sieving with 48 threads
01/30/22 00:20:15, nfs: commencing lattice sieving with 48 threads
01/30/22 00:21:22, nfs: commencing lattice sieving with 48 threads
01/30/22 00:22:33, nfs: commencing lattice sieving with 48 threads
01/30/22 00:23:42, nfs: commencing lattice sieving with 48 threads
01/30/22 00:24:49, nfs: commencing lattice sieving with 48 threads
01/30/22 00:26:00, nfs: commencing lattice sieving with 48 threads
01/30/22 00:27:07, nfs: commencing lattice sieving with 48 threads
01/30/22 00:28:13, nfs: commencing lattice sieving with 48 threads
01/30/22 00:29:25, nfs: commencing lattice sieving with 48 threads
01/30/22 00:30:31, nfs: commencing lattice sieving with 48 threads
01/30/22 00:31:41, nfs: commencing lattice sieving with 48 threads
01/30/22 00:32:52, nfs: commencing lattice sieving with 48 threads
01/30/22 00:34:02, nfs: commencing lattice sieving with 48 threads
01/30/22 00:35:09, nfs: commencing lattice sieving with 48 threads
01/30/22 00:36:21, nfs: commencing lattice sieving with 48 threads
01/30/22 00:37:29, nfs: commencing lattice sieving with 48 threads
01/30/22 00:38:38, nfs: commencing lattice sieving with 48 threads
01/30/22 00:39:51, nfs: commencing lattice sieving with 48 threads
01/30/22 00:41:02, nfs: commencing lattice sieving with 48 threads
01/30/22 00:42:10, nfs: commencing lattice sieving with 48 threads
01/30/22 00:43:20, nfs: commencing lattice sieving with 48 threads
01/30/22 00:44:31, nfs: commencing lattice sieving with 48 threads
01/30/22 00:45:39, nfs: commencing lattice sieving with 48 threads
01/30/22 00:46:47, nfs: commencing lattice sieving with 48 threads
01/30/22 00:47:57, nfs: commencing lattice sieving with 48 threads
01/30/22 00:49:07, nfs: commencing lattice sieving with 48 threads
01/30/22 00:50:19, nfs: commencing lattice sieving with 48 threads
01/30/22 00:51:31, nfs: commencing lattice sieving with 48 threads
01/30/22 00:52:42, nfs: commencing lattice sieving with 48 threads
01/30/22 00:53:51, nfs: commencing lattice sieving with 48 threads
01/30/22 00:55:02, nfs: commencing lattice sieving with 48 threads
01/30/22 00:56:13, nfs: commencing lattice sieving with 48 threads
01/30/22 00:57:24, nfs: commencing lattice sieving with 48 threads
01/30/22 00:58:34, nfs: commencing lattice sieving with 48 threads
01/30/22 00:59:44, nfs: commencing lattice sieving with 48 threads
01/30/22 01:00:56, nfs: commencing lattice sieving with 48 threads
01/30/22 01:02:08, nfs: commencing lattice sieving with 48 threads
01/30/22 01:03:19, nfs: commencing lattice sieving with 48 threads
01/30/22 01:04:28, nfs: commencing lattice sieving with 48 threads
01/30/22 01:05:42, nfs: commencing lattice sieving with 48 threads
01/30/22 01:06:54, nfs: commencing lattice sieving with 48 threads
01/30/22 01:08:06, nfs: commencing lattice sieving with 48 threads
01/30/22 01:09:16, nfs: commencing lattice sieving with 48 threads
01/30/22 01:10:28, nfs: commencing lattice sieving with 48 threads
01/30/22 01:11:40, nfs: commencing lattice sieving with 48 threads
01/30/22 01:12:53, nfs: commencing lattice sieving with 48 threads
01/30/22 01:14:03, nfs: commencing msieve filtering
01/30/22 01:16:02, nfs: raising min_rels by 5.00 percent to 10599930
01/30/22 01:16:02, nfs: commencing lattice sieving with 48 threads
01/30/22 01:17:14, nfs: commencing lattice sieving with 48 threads
01/30/22 01:18:29, nfs: commencing lattice sieving with 48 threads
01/30/22 01:19:39, nfs: commencing lattice sieving with 48 threads
01/30/22 01:20:53, nfs: commencing msieve filtering
01/30/22 01:22:57, nfs: raising min_rels by 5.00 percent to 11301046
01/30/22 01:22:57, nfs: commencing lattice sieving with 48 threads
01/30/22 01:24:08, nfs: commencing lattice sieving with 48 threads
01/30/22 01:25:20, nfs: commencing lattice sieving with 48 threads
01/30/22 01:26:34, nfs: commencing lattice sieving with 48 threads
01/30/22 01:27:47, nfs: commencing msieve filtering
01/30/22 01:29:58, nfs: raising min_rels by 5.00 percent to 11991712
01/30/22 01:29:58, nfs: commencing lattice sieving with 48 threads
01/30/22 01:31:12, nfs: commencing lattice sieving with 48 threads
01/30/22 01:32:25, nfs: commencing lattice sieving with 48 threads
01/30/22 01:33:38, nfs: commencing lattice sieving with 48 threads
01/30/22 01:34:53, nfs: commencing msieve filtering
01/30/22 01:37:10, nfs: raising min_rels by 5.00 percent to 12679615
01/30/22 01:37:10, nfs: commencing lattice sieving with 48 threads
01/30/22 01:38:26, nfs: commencing lattice sieving with 48 threads
01/30/22 01:39:42, nfs: commencing lattice sieving with 48 threads
01/30/22 01:40:58, nfs: commencing lattice sieving with 48 threads
01/30/22 01:42:15, nfs: commencing msieve filtering
01/30/22 01:45:48, nfs: commencing msieve linear algebra
01/30/22 02:00:54, nfs: commencing msieve sqrt
01/30/22 02:03:14, prp83 = 56538845802726718731129250649176941082727861753523835090648265644360550447593168549
01/30/22 02:03:14, prp54 = 638775991261361453099669239061801772831399273099226127
01/30/22 02:03:15, NFS elapsed time = 7201.5950 seconds.
01/30/22 02:03:15, 
01/30/22 02:03:15, 
01/30/22 02:03:15, Total factoring time = 7237.1779 seconds

YAFU Version 2.07
Built with GCC 9
Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1
Detected Intel(R) Xeon(R) Gold 6248R CPU @ 3.00GHz
Detected L1 = 32768 bytes, L2 = 37486592 bytes, CL = 64 bytes
Using 1 random witness for Rabin-Miller PRP checks
Cached 664579 primes; max prime is 9999991

Ubuntu 20.04.3 LTS

2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507<166>

59791133893914439662989421742449372738594587045387459<53>
44207549081582012337157047078688051751514086923342965973227967949286750524834551395001931674712462872856918769073<113>

01/30/22 22:14:57, 
01/30/22 22:14:57, ****************************
01/30/22 22:14:57, Starting factorization of 88888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888858
01/30/22 22:14:57, using pretesting plan: normal
01/30/22 22:14:57, using specified qs/gnfs crossover of 100 digits
01/30/22 22:14:57, using specified qs/snfs crossover of 75 digits
01/30/22 22:14:57, ****************************
01/30/22 22:14:57, div: found prime factor = 2
01/30/22 22:14:57, div: found prime factor = 7
01/30/22 22:14:57, div: found prime factor = 11
01/30/22 22:14:57, rho: x^2 + 3, starting 1000 iterations on C183
01/30/22 22:14:57, prp7 = 3628111
01/30/22 22:14:57, rho: x^2 + 3, starting 1000 iterations on C177
01/30/22 22:14:57, prp11 = 60188422901
01/30/22 22:14:57, rho: x^2 + 3, starting 1000 iterations on C166
01/30/22 22:14:57, rho: x^2 + 2, starting 1000 iterations on C166
01/30/22 22:14:57, rho: x^2 + 1, starting 1000 iterations on C166
01/30/22 22:14:57, nfs: input divides 10^188 - 34750
01/30/22 22:14:57, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:14:57, nfs: input divides 10^188 - 34750
01/30/22 22:14:57, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:14:57, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:14:57, pm1: starting B1 = 150K, B2 = gmp-ecm default on C166
01/30/22 22:14:57, nfs: input divides 10^188 - 34750
01/30/22 22:14:57, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:14:57, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:14:57, current ECM pretesting depth: 0.00
01/30/22 22:14:57, scheduled 30 curves at B1=2000 toward target pretesting depth of 39.73
01/30/22 22:14:58, ecm: commencing 48 curves using AVX-ECM method on 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507, B1=2k, B2=200k
01/30/22 22:14:58, ecm: finished 384 curves using AVX-ECM method on C166 input, B1=2k, B2=200k
01/30/22 22:14:58, nfs: input divides 10^188 - 34750
01/30/22 22:14:58, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:14:58, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:14:58, current ECM pretesting depth: 17.27
01/30/22 22:14:58, scheduled 74 curves at B1=11000 toward target pretesting depth of 39.73
01/30/22 22:14:58, ecm: commencing 96 curves using AVX-ECM method on 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507, B1=11k, B2=1100k
01/30/22 22:14:59, ecm: finished 384 curves using AVX-ECM method on C166 input, B1=11k, B2=1100k
01/30/22 22:14:59, nfs: input divides 10^188 - 34750
01/30/22 22:14:59, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:14:59, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:14:59, current ECM pretesting depth: 21.28
01/30/22 22:14:59, scheduled 214 curves at B1=50000 toward target pretesting depth of 39.73
01/30/22 22:14:59, ecm: commencing 240 curves using AVX-ECM method on 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507, B1=50k, B2=5M
01/30/22 22:15:00, ecm: finished 384 curves using AVX-ECM method on C166 input, B1=50k, B2=5M
01/30/22 22:15:00, nfs: input divides 10^188 - 34750
01/30/22 22:15:00, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:15:00, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:15:00, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C166
01/30/22 22:15:02, nfs: input divides 10^188 - 34750
01/30/22 22:15:02, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:15:02, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:15:02, current ECM pretesting depth: 25.62
01/30/22 22:15:02, scheduled 430 curves at B1=250000 toward target pretesting depth of 39.73
01/30/22 22:15:03, ecm: commencing 432 curves using AVX-ECM method on 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507, B1=250k, B2=25M
01/30/22 22:15:10, ecm: finished 768 curves using AVX-ECM method on C166 input, B1=250k, B2=25M
01/30/22 22:15:10, nfs: input divides 10^188 - 34750
01/30/22 22:15:10, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:15:10, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:15:10, pm1: starting B1 = 15M, B2 = gmp-ecm default on C166
01/30/22 22:15:14, nfs: input divides 10^188 - 34750
01/30/22 22:15:14, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:15:14, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:15:14, current ECM pretesting depth: 30.81
01/30/22 22:15:14, scheduled 904 curves at B1=1000000 toward target pretesting depth of 39.73
01/30/22 22:15:16, ecm: commencing 912 curves using AVX-ECM method on 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507, B1=1M, B2=100M
01/30/22 22:15:56, ecm: finished 1152 curves using AVX-ECM method on C166 input, B1=1M, B2=100M
01/30/22 22:15:57, nfs: input divides 10^188 - 34750
01/30/22 22:15:57, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:15:57, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:15:57, current ECM pretesting depth: 35.72
01/30/22 22:15:57, scheduled 1883 curves at B1=3000000 toward target pretesting depth of 39.73
01/30/22 22:15:58, ecm: commencing 1920 curves using AVX-ECM method on 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507, B1=3M, B2=300M
01/30/22 22:19:13, ecm: finished 1920 curves using AVX-ECM method on C166 input, B1=3M, B2=300M
01/30/22 22:19:14, nfs: input divides 10^188 - 34750
01/30/22 22:19:14, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:19:14, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:19:14, final ECM pretested depth: 39.81
01/30/22 22:19:14, scheduler: switching to sieve method
01/30/22 22:19:14, nfs: commencing nfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:19:14, nfs: input divides 10^188 - 34750
01/30/22 22:19:14, nfs: using supplied cofactor: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:19:14, nfs: commencing snfs on c166: 2643219486258664416195085036878926571385486073252241265320055454309035360756555088629305740822074941957591858823920310280925148835189000823664545922836421348631255507
01/30/22 22:19:16, test: fb generation took 1.3816 seconds
01/30/22 22:19:16, test: commencing test sieving of polynomial 0 on the rational side over range 12000000-12001000
skew: 2.8669
c5: 4
c0: -139
Y1: -1
Y0: 10000000000000000000000000000000000000
rlim: 12000000
alim: 12000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 22:20:27, nfs: parsing special-q from .dat file
01/30/22 22:20:27, test: new best estimated total sieving time = 1h 20m 59s (with 48 threads)
01/30/22 22:20:29, test: fb generation took 1.4064 seconds
01/30/22 22:20:29, test: commencing test sieving of polynomial 1 on the rational side over range 12500000-12501000
skew: 5.6118
c5: 1
c0: -1112
Y1: -1
Y0: 20000000000000000000000000000000000000
rlim: 12500000
alim: 12500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 22:21:37, nfs: parsing special-q from .dat file
01/30/22 22:21:37, test: estimated total sieving time = 1h 23m 54s (with 48 threads)
01/30/22 22:21:39, test: fb generation took 2.0424 seconds
01/30/22 22:21:39, test: commencing test sieving of polynomial 2 on the algebraic side over range 11500000-11501000
skew: 3.1818
c6: 2
c0: -695
Y1: -1
Y0: 10000000000000000000000000000000
rlim: 11500000
alim: 11500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 22:23:19, nfs: parsing special-q from .dat file
01/30/22 22:23:19, test: estimated total sieving time = 1h 48m 56s (with 48 threads)
01/30/22 22:23:19, nfs: commencing lattice sieving with 48 threads
01/30/22 22:24:27, nfs: commencing lattice sieving with 48 threads
01/30/22 22:25:35, nfs: commencing lattice sieving with 48 threads
01/30/22 22:26:41, nfs: commencing lattice sieving with 48 threads
01/30/22 22:27:50, nfs: commencing lattice sieving with 48 threads
01/30/22 22:28:54, nfs: commencing lattice sieving with 48 threads
01/30/22 22:30:00, nfs: commencing lattice sieving with 48 threads
01/30/22 22:31:09, nfs: commencing lattice sieving with 48 threads
01/30/22 22:32:17, nfs: commencing lattice sieving with 48 threads
01/30/22 22:33:23, nfs: commencing lattice sieving with 48 threads
01/30/22 22:34:31, nfs: commencing lattice sieving with 48 threads
01/30/22 22:35:40, nfs: commencing lattice sieving with 48 threads
01/30/22 22:36:51, nfs: commencing lattice sieving with 48 threads
01/30/22 22:37:58, nfs: commencing lattice sieving with 48 threads
01/30/22 22:39:08, nfs: commencing lattice sieving with 48 threads
01/30/22 22:40:16, nfs: commencing lattice sieving with 48 threads
01/30/22 22:41:22, nfs: commencing lattice sieving with 48 threads
01/30/22 22:42:33, nfs: commencing lattice sieving with 48 threads
01/30/22 22:43:41, nfs: commencing lattice sieving with 48 threads
01/30/22 22:44:49, nfs: commencing lattice sieving with 48 threads
01/30/22 22:46:01, nfs: commencing lattice sieving with 48 threads
01/30/22 22:47:10, nfs: commencing lattice sieving with 48 threads
01/30/22 22:48:21, nfs: commencing lattice sieving with 48 threads
01/30/22 22:49:33, nfs: commencing lattice sieving with 48 threads
01/30/22 22:50:41, nfs: commencing lattice sieving with 48 threads
01/30/22 22:51:51, nfs: commencing lattice sieving with 48 threads
01/30/22 22:53:04, nfs: commencing lattice sieving with 48 threads
01/30/22 22:54:16, nfs: commencing lattice sieving with 48 threads
01/30/22 22:55:27, nfs: commencing lattice sieving with 48 threads
01/30/22 22:56:38, nfs: commencing lattice sieving with 48 threads
01/30/22 22:57:50, nfs: commencing lattice sieving with 48 threads
01/30/22 22:59:00, nfs: commencing lattice sieving with 48 threads
01/30/22 23:00:13, nfs: commencing lattice sieving with 48 threads
01/30/22 23:01:23, nfs: commencing lattice sieving with 48 threads
01/30/22 23:02:34, nfs: commencing lattice sieving with 48 threads
01/30/22 23:03:46, nfs: commencing lattice sieving with 48 threads
01/30/22 23:04:59, nfs: commencing lattice sieving with 48 threads
01/30/22 23:06:09, nfs: commencing lattice sieving with 48 threads
01/30/22 23:07:19, nfs: commencing lattice sieving with 48 threads
01/30/22 23:08:30, nfs: commencing lattice sieving with 48 threads
01/30/22 23:09:41, nfs: commencing lattice sieving with 48 threads
01/30/22 23:10:52, nfs: commencing lattice sieving with 48 threads
01/30/22 23:12:03, nfs: commencing lattice sieving with 48 threads
01/30/22 23:13:13, nfs: commencing lattice sieving with 48 threads
01/30/22 23:14:26, nfs: commencing lattice sieving with 48 threads
01/30/22 23:15:38, nfs: commencing lattice sieving with 48 threads
01/30/22 23:16:49, nfs: commencing lattice sieving with 48 threads
01/30/22 23:18:00, nfs: commencing lattice sieving with 48 threads
01/30/22 23:19:13, nfs: commencing lattice sieving with 48 threads
01/30/22 23:20:25, nfs: commencing lattice sieving with 48 threads
01/30/22 23:21:39, nfs: commencing lattice sieving with 48 threads
01/30/22 23:22:49, nfs: commencing lattice sieving with 48 threads
01/30/22 23:24:02, nfs: commencing lattice sieving with 48 threads
01/30/22 23:25:16, nfs: commencing lattice sieving with 48 threads
01/30/22 23:26:30, nfs: commencing lattice sieving with 48 threads
01/30/22 23:27:41, nfs: commencing lattice sieving with 48 threads
01/30/22 23:28:54, nfs: commencing lattice sieving with 48 threads
01/30/22 23:30:10, nfs: commencing lattice sieving with 48 threads
01/30/22 23:31:22, nfs: commencing lattice sieving with 48 threads
01/30/22 23:32:37, nfs: commencing lattice sieving with 48 threads
01/30/22 23:33:49, nfs: commencing msieve filtering
01/30/22 23:35:48, nfs: raising min_rels by 5.00 percent to 10653268
01/30/22 23:35:48, nfs: commencing lattice sieving with 48 threads
01/30/22 23:37:03, nfs: commencing lattice sieving with 48 threads
01/30/22 23:38:17, nfs: commencing lattice sieving with 48 threads
01/30/22 23:39:32, nfs: commencing lattice sieving with 48 threads
01/30/22 23:40:47, nfs: commencing msieve filtering
01/30/22 23:42:50, nfs: raising min_rels by 5.00 percent to 11333075
01/30/22 23:42:50, nfs: commencing lattice sieving with 48 threads
01/30/22 23:44:05, nfs: commencing lattice sieving with 48 threads
01/30/22 23:45:18, nfs: commencing lattice sieving with 48 threads
01/30/22 23:46:32, nfs: commencing lattice sieving with 48 threads
01/30/22 23:47:50, nfs: commencing msieve filtering
01/30/22 23:49:58, nfs: raising min_rels by 5.00 percent to 12003474
01/30/22 23:49:58, nfs: commencing lattice sieving with 48 threads
01/30/22 23:51:12, nfs: commencing lattice sieving with 48 threads
01/30/22 23:52:28, nfs: commencing lattice sieving with 48 threads
01/30/22 23:53:46, nfs: commencing lattice sieving with 48 threads
01/30/22 23:55:03, nfs: commencing msieve filtering
01/30/22 23:57:21, nfs: raising min_rels by 5.00 percent to 12674615
01/30/22 23:57:21, nfs: commencing lattice sieving with 48 threads
01/30/22 23:58:37, nfs: commencing lattice sieving with 48 threads
01/30/22 23:59:51, nfs: commencing lattice sieving with 48 threads
01/31/22 00:01:12, nfs: commencing lattice sieving with 48 threads
01/31/22 00:02:25, nfs: commencing msieve filtering
01/31/22 00:06:00, nfs: commencing msieve linear algebra
01/31/22 00:23:22, nfs: commencing msieve sqrt
01/31/22 00:24:39, prp53 = 59791133893914439662989421742449372738594587045387459
01/31/22 00:24:39, prp113 = 44207549081582012337157047078688051751514086923342965973227967949286750524834551395001931674712462872856918769073
01/31/22 00:24:39, NFS elapsed time = 7524.6334 seconds.
01/31/22 00:24:39, 
01/31/22 00:24:39, 
01/31/22 00:24:39, Total factoring time = 7782.1261 seconds

YAFU Version 2.07
Built with GCC 9
Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1
Detected Intel(R) Xeon(R) Gold 6248R CPU @ 3.00GHz
Detected L1 = 32768 bytes, L2 = 37486592 bytes, CL = 64 bytes
Using 1 random witness for Rabin-Miller PRP checks
Cached 664579 primes; max prime is 9999991

Ubuntu 20.04.3 LTS

38120448781750986383289924148788724169476691723332952033544393869092034475867035074119828142724370695480617805533657740258488473315004449752335732815451788453733482921786397802379<179>

711479805152534474804299474697702073594847026724865443<54>
53579101621272758763690971371247500364592671716243515003563420549548521600638575600369174068610804003849816291926966495407353<125>

Number: n
N=38120448781750986383289924148788724169476691723332952033544393869092034475867035074119828142724370695480617805533657740258488473315004449752335732815451788453733482921786397802379  ( 179 digits)
SNFS difficulty: 186 digits.
Divisors found:

Tue Jan 11 09:55:00 2022  p54 factor: 711479805152534474804299474697702073594847026724865443
Tue Jan 11 09:55:00 2022  p125 factor: 53579101621272758763690971371247500364592671716243515003563420549548521600638575600369174068610804003849816291926966495407353
Tue Jan 11 09:55:00 2022  elapsed time 00:31:34 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.311).
Factorization parameters were as follows:
#
# N = 4x10^186-139 = 8(184)58
#
n: 38120448781750986383289924148788724169476691723332952033544393869092034475867035074119828142724370695480617805533657740258488473315004449752335732815451788453733482921786397802379
m: 10000000000000000000000000000000000000
deg: 5
c5: 40
c0: -139
skew: 1.28
# Murphy_E = 5.734e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3352769 hash collisions in 30602363 relations (29123856 unique)
Msieve: matrix is 1028972 x 1029198 (354.4 MB)

Sieving start time : 2022/01/11 02:57:28
Sieving end time  : 2022/01/11 09:21:02

Total sieving time: 6hrs 23min 34secs.

Total relation processing time: 0hrs 18min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 23sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583<152>

4287991539125580135108036749246244168028687841<46>
8466423351599888622849258659457387310091078121031787225939685469476555484927752496753117008568679209033663<106>

02/01/22 02:30:52, 
02/01/22 02:30:52, ****************************
02/01/22 02:30:52, Starting factorization of 888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888858
02/01/22 02:30:52, using pretesting plan: normal
02/01/22 02:30:52, using specified qs/gnfs crossover of 100 digits
02/01/22 02:30:52, using specified qs/snfs crossover of 75 digits
02/01/22 02:30:52, ****************************
02/01/22 02:30:52, div: found prime factor = 2
02/01/22 02:30:52, div: found prime factor = 3
02/01/22 02:30:52, div: found prime factor = 11
02/01/22 02:30:52, div: found prime factor = 13
02/01/22 02:30:52, rho: x^2 + 3, starting 1000 iterations on C187
02/01/22 02:30:52, prp5 = 22807
02/01/22 02:30:52, rho: x^2 + 3, starting 1000 iterations on C182
02/01/22 02:30:52, prp5 = 28069
02/01/22 02:30:52, rho: x^2 + 3, starting 1000 iterations on C178
02/01/22 02:30:52, rho: x^2 + 2, starting 1000 iterations on C178
02/01/22 02:30:52, rho: x^2 + 1, starting 1000 iterations on C178
02/01/22 02:30:52, nfs: input divides 10^192 - 34750
02/01/22 02:30:52, nfs: using supplied cofactor: 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347
02/01/22 02:30:52, nfs: input divides 10^192 - 34750
02/01/22 02:30:52, nfs: using supplied cofactor: 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347
02/01/22 02:30:52, nfs: commencing snfs on c178: 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347
02/01/22 02:30:52, pm1: starting B1 = 150K, B2 = gmp-ecm default on C178
02/01/22 02:30:52, nfs: input divides 10^192 - 34750
02/01/22 02:30:52, nfs: using supplied cofactor: 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347
02/01/22 02:30:52, nfs: commencing snfs on c178: 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347
02/01/22 02:30:52, current ECM pretesting depth: 0.00
02/01/22 02:30:52, scheduled 30 curves at B1=2000 toward target pretesting depth of 42.60
02/01/22 02:30:52, ecm: commencing 48 curves using AVX-ECM method on 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347, B1=2k, B2=200k
02/01/22 02:30:53, ecm: finished 384 curves using AVX-ECM method on C178 input, B1=2k, B2=200k
02/01/22 02:30:53, nfs: input divides 10^192 - 34750
02/01/22 02:30:53, nfs: using supplied cofactor: 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347
02/01/22 02:30:53, nfs: commencing snfs on c178: 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347
02/01/22 02:30:53, current ECM pretesting depth: 17.27
02/01/22 02:30:53, scheduled 74 curves at B1=11000 toward target pretesting depth of 42.60
02/01/22 02:30:53, ecm: commencing 96 curves using AVX-ECM method on 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347, B1=11k, B2=1100k
02/01/22 02:30:53, ecm: finished 384 curves using AVX-ECM method on C178 input, B1=11k, B2=1100k
02/01/22 02:30:53, nfs: input divides 10^192 - 34750
02/01/22 02:30:53, nfs: using supplied cofactor: 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347
02/01/22 02:30:53, nfs: commencing snfs on c178: 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347
02/01/22 02:30:53, current ECM pretesting depth: 21.28
02/01/22 02:30:53, scheduled 214 curves at B1=50000 toward target pretesting depth of 42.60
02/01/22 02:30:54, ecm: commencing 240 curves using AVX-ECM method on 1618322553398761935803825055553335225710776178697978112524896053225057208833803890086803752991847063149718074100052370023020913716092106787624931991665459735674488409038008132347, B1=50k, B2=5M
02/01/22 02:30:54, ecm: finished 0 curves using AVX-ECM method on C178 input, B1=50k, B2=5M
02/01/22 02:30:55, prp26 = 44577035768639184183300709 (curve=122 stg=2 B1=50000 B2=5000000 sigma=267581043 thread=15 vecpos=2)
02/01/22 02:30:55, nfs: input divides 10^192 - 34750
02/01/22 02:30:55, nfs: using supplied cofactor: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:30:55, nfs: commencing snfs on c152: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:30:55, current ECM pretesting depth: 21.28
02/01/22 02:30:55, scheduled 214 curves at B1=50000 toward target pretesting depth of 36.38
02/01/22 02:30:55, ecm: commencing 240 curves using AVX-ECM method on 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583, B1=50k, B2=5M
02/01/22 02:30:56, ecm: finished 384 curves using AVX-ECM method on C152 input, B1=50k, B2=5M
02/01/22 02:30:56, nfs: input divides 10^192 - 34750
02/01/22 02:30:56, nfs: using supplied cofactor: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:30:56, nfs: commencing snfs on c152: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:30:56, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C152
02/01/22 02:30:57, nfs: input divides 10^192 - 34750
02/01/22 02:30:57, nfs: using supplied cofactor: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:30:57, nfs: commencing snfs on c152: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:30:57, current ECM pretesting depth: 25.62
02/01/22 02:30:57, scheduled 430 curves at B1=250000 toward target pretesting depth of 36.38
02/01/22 02:30:58, ecm: commencing 432 curves using AVX-ECM method on 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583, B1=250k, B2=25M
02/01/22 02:31:05, ecm: finished 768 curves using AVX-ECM method on C152 input, B1=250k, B2=25M
02/01/22 02:31:05, nfs: input divides 10^192 - 34750
02/01/22 02:31:05, nfs: using supplied cofactor: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:31:05, nfs: commencing snfs on c152: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:31:05, pm1: starting B1 = 15M, B2 = gmp-ecm default on C152
02/01/22 02:31:09, nfs: input divides 10^192 - 34750
02/01/22 02:31:09, nfs: using supplied cofactor: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:31:09, nfs: commencing snfs on c152: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:31:09, current ECM pretesting depth: 30.81
02/01/22 02:31:09, scheduled 904 curves at B1=1000000 toward target pretesting depth of 36.38
02/01/22 02:31:11, ecm: commencing 912 curves using AVX-ECM method on 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583, B1=1M, B2=100M
02/01/22 02:31:51, ecm: finished 1152 curves using AVX-ECM method on C152 input, B1=1M, B2=100M
02/01/22 02:31:52, nfs: input divides 10^192 - 34750
02/01/22 02:31:52, nfs: using supplied cofactor: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:31:52, nfs: commencing snfs on c152: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:31:52, current ECM pretesting depth: 35.72
02/01/22 02:31:52, scheduled 308 curves at B1=3000000 toward target pretesting depth of 36.38
02/01/22 02:31:53, ecm: commencing 336 curves using AVX-ECM method on 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583, B1=3M, B2=300M
02/01/22 02:32:32, ecm: finished 384 curves using AVX-ECM method on C152 input, B1=3M, B2=300M
02/01/22 02:32:33, nfs: input divides 10^192 - 34750
02/01/22 02:32:33, nfs: using supplied cofactor: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:32:33, nfs: commencing snfs on c152: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:32:33, final ECM pretested depth: 36.54
02/01/22 02:32:33, scheduler: switching to sieve method
02/01/22 02:32:33, nfs: commencing nfs on c152: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:32:33, nfs: input divides 10^192 - 34750
02/01/22 02:32:33, nfs: using supplied cofactor: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:32:33, nfs: commencing snfs on c152: 36303951698315559116495734540067476393789180499924286445073353939680318908462687329359778649214575897204474749894042123348243101765193336156147487791583
02/01/22 02:32:35, test: fb generation took 1.5443 seconds
02/01/22 02:32:35, test: commencing test sieving of polynomial 0 on the rational side over range 13500000-13501000
skew: 4.3181
c5: 2
c0: -695
Y1: -1
Y0: 100000000000000000000000000000000000000
rlim: 13500000
alim: 13500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/01/22 02:33:54, nfs: parsing special-q from .dat file
02/01/22 02:33:54, test: new best estimated total sieving time = 2h 3m 53s (with 48 threads)
02/01/22 02:33:55, test: fb generation took 1.5261 seconds
02/01/22 02:33:55, test: commencing test sieving of polynomial 1 on the rational side over range 13500000-13501000
skew: 8.7007
c5: 1
c0: -11120
Y1: -1
Y0: 200000000000000000000000000000000000000
rlim: 13500000
alim: 13500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/01/22 02:35:14, nfs: parsing special-q from .dat file
02/01/22 02:35:14, test: estimated total sieving time = 2h 10m 12s (with 48 threads)
02/01/22 02:35:16, test: fb generation took 2.3059 seconds
02/01/22 02:35:16, test: commencing test sieving of polynomial 2 on the algebraic side over range 13000000-13001000
skew: 2.0000
c6: 1
c0: -34750
Y1: -1
Y0: 100000000000000000000000000000000
rlim: 13000000
alim: 13000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/01/22 02:36:24, nfs: parsing special-q from .dat file
02/01/22 02:36:24, test: estimated total sieving time = 3h 39m 15s (with 48 threads)
02/01/22 02:36:24, nfs: commencing lattice sieving with 48 threads
02/01/22 02:39:09, nfs: commencing lattice sieving with 48 threads
02/01/22 02:41:51, nfs: commencing lattice sieving with 48 threads
02/01/22 02:44:37, nfs: commencing lattice sieving with 48 threads
02/01/22 02:47:14, nfs: commencing lattice sieving with 48 threads
02/01/22 02:49:59, nfs: commencing lattice sieving with 48 threads
02/01/22 02:52:37, nfs: commencing lattice sieving with 48 threads
02/01/22 02:55:14, nfs: commencing lattice sieving with 48 threads
02/01/22 02:57:58, nfs: commencing lattice sieving with 48 threads
02/01/22 03:00:45, nfs: commencing lattice sieving with 48 threads
02/01/22 03:03:29, nfs: commencing lattice sieving with 48 threads
02/01/22 03:06:19, nfs: commencing lattice sieving with 48 threads
02/01/22 03:09:01, nfs: commencing lattice sieving with 48 threads
02/01/22 03:11:48, nfs: commencing lattice sieving with 48 threads
02/01/22 03:14:45, nfs: commencing lattice sieving with 48 threads
02/01/22 03:17:27, nfs: commencing lattice sieving with 48 threads
02/01/22 03:20:11, nfs: commencing lattice sieving with 48 threads
02/01/22 03:23:03, nfs: commencing lattice sieving with 48 threads
02/01/22 03:25:55, nfs: commencing lattice sieving with 48 threads
02/01/22 03:28:48, nfs: commencing lattice sieving with 48 threads
02/01/22 03:31:40, nfs: commencing lattice sieving with 48 threads
02/01/22 03:34:31, nfs: commencing lattice sieving with 48 threads
02/01/22 03:37:15, nfs: commencing lattice sieving with 48 threads
02/01/22 03:40:03, nfs: commencing lattice sieving with 48 threads
02/01/22 03:42:52, nfs: commencing lattice sieving with 48 threads
02/01/22 03:45:35, nfs: commencing lattice sieving with 48 threads
02/01/22 03:48:33, nfs: commencing lattice sieving with 48 threads
02/01/22 03:51:19, nfs: commencing lattice sieving with 48 threads
02/01/22 03:54:05, nfs: commencing lattice sieving with 48 threads
02/01/22 03:56:48, nfs: commencing lattice sieving with 48 threads
02/01/22 03:59:34, nfs: commencing lattice sieving with 48 threads
02/01/22 04:02:22, nfs: commencing lattice sieving with 48 threads
02/01/22 04:05:09, nfs: commencing lattice sieving with 48 threads
02/01/22 04:07:58, nfs: commencing lattice sieving with 48 threads
02/01/22 04:10:42, nfs: commencing lattice sieving with 48 threads
02/01/22 04:13:29, nfs: commencing lattice sieving with 48 threads
02/01/22 04:16:13, nfs: commencing lattice sieving with 48 threads
02/01/22 04:18:55, nfs: commencing lattice sieving with 48 threads
02/01/22 04:21:38, nfs: commencing lattice sieving with 48 threads
02/01/22 04:24:26, nfs: commencing lattice sieving with 48 threads
02/01/22 04:27:12, nfs: commencing msieve filtering
02/01/22 04:29:17, nfs: raising min_rels by 5.00 percent to 10686861
02/01/22 04:29:17, nfs: commencing lattice sieving with 48 threads
02/01/22 04:32:01, nfs: commencing lattice sieving with 48 threads
02/01/22 04:34:46, nfs: commencing lattice sieving with 48 threads
02/01/22 04:37:45, nfs: commencing msieve filtering
02/01/22 04:39:53, nfs: raising min_rels by 5.00 percent to 11462398
02/01/22 04:39:53, nfs: commencing lattice sieving with 48 threads
02/01/22 04:42:48, nfs: commencing lattice sieving with 48 threads
02/01/22 04:45:33, nfs: commencing lattice sieving with 48 threads
02/01/22 04:48:17, nfs: commencing msieve filtering
02/01/22 04:50:32, nfs: raising min_rels by 5.00 percent to 12239440
02/01/22 04:50:32, nfs: commencing lattice sieving with 48 threads
02/01/22 04:53:25, nfs: commencing lattice sieving with 48 threads
02/01/22 04:56:12, nfs: commencing lattice sieving with 48 threads
02/01/22 04:59:00, nfs: commencing msieve filtering
02/01/22 05:01:24, nfs: raising min_rels by 5.00 percent to 13015246
02/01/22 05:01:24, nfs: commencing lattice sieving with 48 threads
02/01/22 05:04:15, nfs: commencing lattice sieving with 48 threads
02/01/22 05:07:04, nfs: commencing lattice sieving with 48 threads
02/01/22 05:09:55, nfs: commencing msieve filtering
02/01/22 05:13:38, nfs: commencing msieve linear algebra
02/01/22 05:30:09, nfs: commencing msieve sqrt
02/01/22 05:32:33, prp46 = 4287991539125580135108036749246244168028687841
02/01/22 05:32:33, prp106 = 8466423351599888622849258659457387310091078121031787225939685469476555484927752496753117008568679209033663
02/01/22 05:32:33, NFS elapsed time = 10800.1350 seconds.
02/01/22 05:32:33, 
02/01/22 05:32:33, 
02/01/22 05:32:33, Total factoring time = 10901.8340 seconds

YAFU Version 2.07
Built with GCC 9
Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1
Detected Intel(R) Xeon(R) Gold 6248R CPU @ 3.00GHz
Detected L1 = 32768 bytes, L2 = 37486592 bytes, CL = 64 bytes
Using 1 random witness for Rabin-Miller PRP checks
Cached 664579 primes; max prime is 9999991

Ubuntu 20.04.3 LTS

118090560362963645406382499912606777482207328026242051945798227673418761864319754753916285179236752581378325512565848753765850851433835799<138>

7303058530039176512858374154183518752724943532984921709<55>
16170014231329207303495175213634532058255578198083964750163987392974562517543733011<83>

Thu Feb  3 03:49:22 2022  Msieve v. 1.53 (SVN unknown)
Thu Feb  3 03:49:22 2022  random seeds: d9311c00 84ca4fcd
Thu Feb  3 03:49:22 2022  factoring 118090560362963645406382499912606777482207328026242051945798227673418761864319754753916285179236752581378325512565848753765850851433835799 (138 digits)
Thu Feb  3 03:49:22 2022  searching for 15-digit factors
Thu Feb  3 03:49:22 2022  commencing number field sieve (138-digit input)
Thu Feb  3 03:49:22 2022  R0: -100000000000000000000000000000000000000
Thu Feb  3 03:49:22 2022  R1: 1
Thu Feb  3 03:49:22 2022  A0: -139
Thu Feb  3 03:49:22 2022  A1: 0
Thu Feb  3 03:49:22 2022  A2: 0
Thu Feb  3 03:49:22 2022  A3: 0
Thu Feb  3 03:49:22 2022  A4: 0
Thu Feb  3 03:49:22 2022  A5: 40
Thu Feb  3 03:49:22 2022  skew 1.28, size 2.579e-13, alpha -0.360, combined = 3.575e-11 rroots = 1
Thu Feb  3 03:49:22 2022  
Thu Feb  3 03:49:22 2022  commencing square root phase
Thu Feb  3 03:49:22 2022  reading relations for dependency 1
Thu Feb  3 03:49:23 2022  read 1018994 cycles
Thu Feb  3 03:49:24 2022  cycles contain 3265360 unique relations
Thu Feb  3 03:49:49 2022  read 3265360 relations
Thu Feb  3 03:49:58 2022  multiplying 3265360 relations
Thu Feb  3 03:50:56 2022  multiply complete, coefficients have about 91.86 million bits
Thu Feb  3 03:50:57 2022  initial square root is modulo 3922231
Thu Feb  3 03:52:07 2022  sqrtTime: 165
Thu Feb  3 03:52:07 2022  p55 factor: 7303058530039176512858374154183518752724943532984921709
Thu Feb  3 03:52:07 2022  p83 factor: 16170014231329207303495175213634532058255578198083964750163987392974562517543733011
Thu Feb  3 03:52:07 2022  elapsed time 00:02:45
Thu Feb 03 03:52:07 2022 -> Computing 1.64383e+09 scale for this machine...
Thu Feb 03 03:52:07 2022 -> procrels -speedtest> PIPE
Thu Feb 03 03:52:09 2022 -> Factorization summary written to s192-88858_191.txt

windows 11 core i9 9900k

60255937506721760969186574723852769107248015889348474845855459265543482414803118968955510002250029889142693858021718469960125176460683140017088611<146>

145683741448004715244082931830498346229369772670930134516190761238971281<72>
413607839198908948570718875819719560805676014587137639309865832449063946931<75>

60255937506721760969186574723852769107248015889348474845855459265543482414803118968955510002250029889142693858021718469960125176460683140017088611=145683741448004715244082931830498346229369772670930134516190761238971281*413607839198908948570718875819719560805676014587137639309865832449063946931

cado polynomial
n: 60255937506721760969186574723852769107248015889348474845855459265543482414803118968955510002250029889142693858021718469960125176460683140017088611
skew: 1.02
type: snfs
c0: -139
c5: 125
Y0: 200000000000000000000000000000000000000
Y1: -1
# f(x) = 125*x^5-139
# g(x) = -x+200000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11800000
tasks.lim1 = 11800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 413607839198908948570718875819719560805676014587137639309865832449063946931 145683741448004715244082931830498346229369772670930134516190761238971281
Info:Square Root: Total cpu/real time for sqrt: 578.25/182.888
Info:Filtering - Singleton removal: Total cpu/real time for purge: 404.04/474.552
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26908761
Info:Lattice Sieving: Average J: 1893.98 for 2153753 special-q, max bucket fill -bkmult 1.0,1s:1.134480
Info:Lattice Sieving: Total time: 455692s
Info:Linear Algebra: Total cpu/real time for bwc: 76550.6/19607.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 48923.6, WCT time 12491.06, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (66560 iterations)
Info:Linear Algebra: Lingen CPU time 477.37, WCT time 121.05
Info:Linear Algebra: Mksol: CPU time 26428.88,  WCT time 6758.78, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (33280 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 117.68/31.7263
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 113.22/130.927
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 130.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 503.99/513.759
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 413.5s
Info:Filtering - Merging: Merged matrix has 2128006 rows and total weight 361907967 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 573.5/159.113
Info:Filtering - Merging: Total cpu/real time for replay: 82.36/72.5437
Info:Generate Factor Base: Total cpu/real time for makefb: 4.98/2.48267
Info:Quadratic Characters: Total cpu/real time for characters: 74.47/31.9959
Info:Square Root: Total cpu/real time for sqrt: 578.25/182.888
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 932919/248907
Info:root: Cleaning up computation data in /tmp/cado.ojvljp3c
413607839198908948570718875819719560805676014587137639309865832449063946931 145683741448004715244082931830498346229369772670930134516190761238971281

cado-nfs-3.0.0

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

7028193441907672240399270686003831058043300047480934258205921106181559762594804235714826502223461731093135277529590319738123718931097232513594743066398010302987792407713<169>

54774596747447047445261414431301434568144303<44>
128311185462725375684812721063881813359180826750272603641801565563213473475146649359010825685788451841635101043069414131447471<126>

Number: n
N=7028193441907672240399270686003831058043300047480934258205921106181559762594804235714826502223461731093135277529590319738123718931097232513594743066398010302987792407713  ( 169 digits)
SNFS difficulty: 195 digits.
Divisors found:

Wed Jan 26 23:49:49 2022  p44 factor: 54774596747447047445261414431301434568144303
Wed Jan 26 23:49:49 2022  p126 factor: 128311185462725375684812721063881813359180826750272603641801565563213473475146649359010825685788451841635101043069414131447471
Wed Jan 26 23:49:49 2022  elapsed time 00:42:29 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 4x10^194-139 = 8(192)58
#
n: 7028193441907672240399270686003831058043300047480934258205921106181559762594804235714826502223461731093135277529590319738123718931097232513594743066398010302987792407713
m: 1000000000000000000000000000000000000000
deg: 5
c5: 2
c0: -695
skew: 3.22
# Murphy_E = 2.71e-11
type: snfs
lss: 1
rlim: 12600000
alim: 12600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12600000/12600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4196880 hash collisions in 33082607 relations (30793270 unique)
Msieve: matrix is 1334870 x 1335096 (464.1 MB)

Sieving start time : 2022/01/26 18:11:19
Sieving end time  : 2022/01/26 23:06:07

Total sieving time: 4hrs 54min 48secs.

Total relation processing time: 0hrs 32min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 22sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12600000,12600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119028] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153529] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.152048] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

52508650501330277525198411660525105029550187479439415056849292661230234122962031394683647444593172339079904088225425970693153839004437505919737309<146>

1438087120117211946522947803362924318690415699<46>
36512843879062442351229042810657835885734126252742281562576445518403148753012586082138126898898501391<101>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2557707353
Step 1 took 21641ms
Step 2 took 10859ms
********** Factor found in step 2: 1438087120117211946522947803362924318690415699
Found prime factor of 46 digits: 1438087120117211946522947803362924318690415699
Prime cofactor 36512843879062442351229042810657835885734126252742281562576445518403148753012586082138126898898501391 has 101 digits
 

GMP-ECM

819046077210488841458216742366498248378244906440354765422299767482432163216129633143773659326007018622542858868065532331017839258425787872431670606285981253393869<162>

259951605062561074278264384994458667279<39>
3150763685468969043289171175325801622080958542956412485792938306274147030865663221832720787277821248021981241584252552762211<124>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:838368530
Step 1 took 18956ms
Step 2 took 8484ms
********** Factor found in step 2: 259951605062561074278264384994458667279
Found prime factor of 39 digits: 259951605062561074278264384994458667279
Prime cofactor 3150763685468969043289171175325801622080958542956412485792938306274147030865663221832720787277821248021981241584252552762211 has 124 digits

899947820978685302491775136789160040423821264444751505684010453184417737499617058798897614191531101288118544178360385281<120>

156265373350577495361565908023225133986066567231<48>
5759099419675494278592946043409206734533281678290732293346133850183311551<73>

CADO

STA:Fri 31 Dec 2021 01:49:40 AEDT (899,947,820,978,685,302,491,775,136,789,160,040,423,821,264,444,751,505,684,010,453,184,417,737,499,617,058,798,897,614,191,531,101,288,118,544,178,360,385,281 - C120)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 899947820978685302491775136789160040423821264444751505684010453184417737499617058798897614191531101288118544178360385281 2>&1 | tee -a log133

Debug:root: Looking for parameter file for c120 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.2ku714if
Info:Database: Opened connection to database /tmp/cado.2ku714if/c120.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 8999478209786853024917751367891600404238212644447515056840104531844177374996170587988
97614191531101288118544178360385281
Debug:root: Root parameter dictionary:
N = 899947820978685302491775136789160040423821264444751505684010453184417737499617058798897614191531101288118544178360385281
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 899947820978685302491775136789160040423821264444751505684010453184417737499617058798897614191531101288118544178360385281
skew: 71987.298
c0: 36695048277067576935570144840
c1: -771647528512918427242543
c2: -28008148699768442556
c3: -617512702302275
c4: 3437893878
c5: 30600
Y0: -176453664845579463836214
Y1: 52397325329804977
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.8e-09
# f(x) = 30600*x^5+3437893878*x^4-617512702302275*x^3-28008148699768442556*x^2-771647528512918427242543*x+36695048277067576935570144840
# g(x) = 52397325329804977*x-176453664845579463836214
...
Info:Square Root: finished
Info:Square Root: Factors: 5759099419675494278592946043409206734533281678290732293346133850183311551 156265373350577495361565908023225133986066567231
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10421/36.220/42.867/48.190/1.016
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10421/34.030/38.132/43.380/1.136
Info:Polynomial Selection (size optimized): Total time: 1126.44
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 457.36
Info:Polynomial Selection (root optimized): Rootsieve time: 456.51
Info:Generate Factor Base: Total cpu/real time for makefb: 23.38/2.12353
Info:Generate Free Relations: Total cpu/real time for freerel: 149.89/9.88673
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 10247809
Info:Lattice Sieving: Average J: 8152.34 for 19267 special-q, max bucket fill: 0.683648
Info:Lattice Sieving: Total CPU time: 60576.4s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 25.91/34.2219
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 33.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 187.83/81.487
Info:Filtering - Singleton removal: Total cpu/real time for purge: 122.19/64.4762
Info:Filtering - Merging: Total cpu/real time for merge: 434.77/352.388
Info:Filtering - Merging: Total cpu/real time for replay: 33.72/26.4231
Info:Linear Algebra: Total cpu/real time for bwc: 18457.1/0.000315428
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 762.91
Info:Linear Algebra: Lingen CPU time 209.16, WCT time 20.64
Info:Linear Algebra: Mksol: WCT time 428.77
Info:Quadratic Characters: Total cpu/real time for characters: 34.53/8.22697
Info:Square Root: Total cpu/real time for sqrt: 811.7/116.223
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 82441.2/5966.19
Info:root: Cleaning up computation data in /tmp/cado.2ku714if
5759099419675494278592946043409206734533281678290732293346133850183311551 156265373350577495361565908023225133986066567231

END:Fri 31 Dec 2021 03:29:07 AEDT (899,947,820,978,685,302,491,775,136,789,160,040,423,821,264,444,751,505,684,010,453,184,417,737,499,617,058,798,897,614,191,531,101,288,118,544,178,360,385,281 - C120)

87145504516505502893632844362660520113659146191243095972677883831118689350982476659605989753536888499579671239152456445576673843151336081812696887560452005682668530012147682301<176>

19544818030308678752059009174125273054762543653144124277718283901646269<71>
4458752411067046438172674569658973558788065110152323331620476476748230729373090780004501904376212854174529<106>

Number: n
N=87145504516505502893632844362660520113659146191243095972677883831118689350982476659605989753536888499579671239152456445576673843151336081812696887560452005682668530012147682301  ( 176 digits)
SNFS difficulty: 200 digits.
Divisors found:

Sun Jan 30 01:21:12 2022  p71 factor: 19544818030308678752059009174125273054762543653144124277718283901646269
Sun Jan 30 01:21:12 2022  p106 factor: 4458752411067046438172674569658973558788065110152323331620476476748230729373090780004501904376212854174529
Sun Jan 30 01:21:12 2022  elapsed time 01:07:42 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.277).
Factorization parameters were as follows:
#
# N = 4x10^200-139 = 8(198)58
#
n: 87145504516505502893632844362660520113659146191243095972677883831118689350982476659605989753536888499579671239152456445576673843151336081812696887560452005682668530012147682301
m: 10000000000000000000000000000000000000000
deg: 5
c5: 4
c0: -139
skew: 2.03
# Murphy_E = 1.78e-11
type: snfs
lss: 1
rlim: 15400000
alim: 15400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15400000/15400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4636208 hash collisions in 33687448 relations (30885555 unique)
Msieve: matrix is 1621721 x 1621948 (562.5 MB)

Sieving start time : 2022/01/29 16:45:31
Sieving end time  : 2022/01/30 00:12:54

Total sieving time: 7hrs 27min 23secs.

Total relation processing time: 0hrs 53min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 5sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15400000,15400000,28,28,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119028] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153529] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.152048] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

12414422920163587593747973314090478734091061258761040252877310088486238664844643816595463957093224485063267502175281430225995858467996066852855198082760977573471596601<167>

390247037496824075602938634974983224819072990901401392413492544657022062107295079<81>
31811703170878316169050841658960586094568617038426660557686691711445620897496884461919<86>

Number: n
N=12414422920163587593747973314090478734091061258761040252877310088486238664844643816595463957093224485063267502175281430225995858467996066852855198082760977573471596601  ( 167 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sat Jan 29 08:54:14 2022  p81 factor: 390247037496824075602938634974983224819072990901401392413492544657022062107295079
Sat Jan 29 08:54:14 2022  p86 factor: 31811703170878316169050841658960586094568617038426660557686691711445620897496884461919
Sat Jan 29 08:54:14 2022  elapsed time 01:26:56 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.307).
Factorization parameters were as follows:
#
# N = 4x10^201-139 = 8(199)58
#
n: 12414422920163587593747973314090478734091061258761040252877310088486238664844643816595463957093224485063267502175281430225995858467996066852855198082760977573471596601
m: 10000000000000000000000000000000000000000
deg: 5
c5: 40
c0: -139
skew: 1.28
# Murphy_E = 1.372e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 28000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4748247 hash collisions in 32717244 relations (29645226 unique)
Msieve: matrix is 1831045 x 1831270 (636.9 MB)

Sieving start time : 2022/01/28 22:43:09
Sieving end time  : 2022/01/29 07:26:40

Total sieving time: 8hrs 43min 31secs.

Total relation processing time: 1hrs 6min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 2sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,28,28,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119028] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153529] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.152048] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

49937578027465667915106117353308364544319600499375780274656679151061173533083645443196004993757802746566791510611735330836454431960049937578027465667915106117353308364544319600499375780274656679151061<200>

13565119542472854362744162086386342080525086980889495702015560425574179<71>
3681322370297541353701049835583830472927112047927890992817238750419049215828350393839883144729086280048641336236317033626939515559<130>

Number: n
N=4993757802746566791510611735330836454431960049937578027465667915106117353308364544319600499375780274656679151061173533083645443196004993757802746566791510611735330836454431960049937578027465667915106  
 ( 200 digits)
SNFS difficulty: 202 digits.
Divisors found:

Mon Jan 24 02:02:25 2022  p71 factor: 13565119542472854362744162086386342080525086980889495702015560425574179
Mon Jan 24 02:02:25 2022  p130 factor: 3681322370297541353701049835583830472927112047927890992817238750419049215828350393839883144729086280048641336236317033626939515559
Mon Jan 24 02:02:25 2022  elapsed time 01:25:15 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.309).
Factorization parameters were as follows:
#
# N = 4x10^202-139 = 8(200)58
#
n: 49937578027465667915106117353308364544319600499375780274656679151061173533083645443196004993757802746566791510611735330836454431960049937578027465667915106117353308364544319600499375780274656679151061
m: 10000000000000000000000000000000000000000
deg: 5
c5: 400
c0: -139
skew: 0.81
# Murphy_E = 1.242e-11
type: snfs
lss: 1
rlim: 16700000
alim: 16700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16700000/16700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4732919 hash collisions in 32708604 relations (29650883 unique)
Msieve: matrix is 1934368 x 1934593 (675.2 MB)

Sieving start time : 2022/01/23 15:53:38
Sieving end time  : 2022/01/24 00:36:29

Total sieving time: 8hrs 42min 51secs.

Total relation processing time: 1hrs 13min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 32sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16700000,16700000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119028] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153529] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.152048] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

1734145904786743909939715019364825785891430423978438565966195401517090908406065813677194195213290756214143221873909083042876289813659629138722675141341614037027042035466367663715641061<184>

1580581365570293234661340118746264894446580545313913578145334870216030855577<76>
1097156997141392146622346011293497824358644852564977256668424891520883774495447219806886994694990188001941293<109>

Number: n
N=1734145904786743909939715019364825785891430423978438565966195401517090908406065813677194195213290756214143221873909083042876289813659629138722675141341614037027042035466367663715641061  ( 184 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sun Feb  6 14:26:28 2022  p76 factor: 1580581365570293234661340118746264894446580545313913578145334870216030855577
Sun Feb  6 14:26:28 2022  p109 factor: 1097156997141392146622346011293497824358644852564977256668424891520883774495447219806886994694990188001941293
Sun Feb  6 14:26:28 2022  elapsed time 01:53:41 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 4x10^204-139 = 8(202)58
#
n: 1734145904786743909939715019364825785891430423978438565966195401517090908406065813677194195213290756214143221873909083042876289813659629138722675141341614037027042035466367663715641061
m: 10000000000000000000000000000000000
deg: 6
c6: 4
c0: -139
skew: 1.81
# Murphy_E = 1.051e-11
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 43400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5248736 hash collisions in 36842918 relations (33226035 unique)
Msieve: matrix is 1996005 x 1996230 (687.1 MB)

Sieving start time : 2022/02/05 20:22:53
Sieving end time  : 2022/02/06 12:32:08

Total sieving time: 16hrs 9min 15secs.

Total relation processing time: 1hrs 19min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 6sec.

Prototype def-par.txt line would be:
snfs,204,6,0,0,0,0,0,0,0,0,18000000,18000000,28,28,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116821] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.152622] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480)
[    0.150214] smpboot: Total of 16 processors activated (102387.84 BogoMIPS)

15359044852237954138156027131452652213835783764914026517719713507803010825224850525539349061629554801574442826446734666543464190919126853474220477809297564299542813709011503<173>

29802312347492558181391904077919966119001702667337393258657464142408309<71>
515364199702114721453907706436225520949835705105822673734780298142767779941358917076203459773811877267<102>

Number: n
N=15359044852237954138156027131452652213835783764914026517719713507803010825224850525539349061629554801574442826446734666543464190919126853474220477809297564299542813709011503  ( 173 digits)
SNFS difficulty: 206 digits.
Divisors found:

Tue Mar 19 16:43:00 2024  prp71 factor: 29802312347492558181391904077919966119001702667337393258657464142408309
Tue Mar 19 16:43:00 2024  prp102 factor: 515364199702114721453907706436225520949835705105822673734780298142767779941358917076203459773811877267
Tue Mar 19 16:43:00 2024  elapsed time 03:24:24 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 2x4x10^206-139 = 8(204)58
#
n: 15359044852237954138156027131452652213835783764914026517719713507803010825224850525539349061629554801574442826446734666543464190919126853474220477809297564299542813709011503
m: 100000000000000000000000000000000000000000
deg: 5
c5: 40
c0: -139
skew: 1.28
# Murphy_E = 8.449e-12
type: snfs
lss: 1
rlim: 19400000
alim: 19400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 64100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3244740 hash collisions in 19207463 relations (16407983 unique)
Msieve: matrix is 2516169 x 2516394 (710.5 MB)

Sieving start time: 2024/03/18 08:29:57
Sieving end time  : 2024/03/19 13:18:11

Total sieving time: 28hrs 48min 14secs.

Total relation processing time: 3hrs 13min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 46sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19400000,19400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001<205>

32747631051731969009669139312680916778893096819719901370819<59>
31635907781068138947609165544138199582074364320647289358579703722552930624441233720369856889934177264750904226853960151186031804618386608141872779<146>

N=1036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001
  ( 205 digits)
SNFS difficulty: 207 digits.
Divisors found:
 r1=32747631051731969009669139312680916778893096819719901370819 (pp59)
 r2=31635907781068138947609165544138199582074364320647289358579703722552930624441233720369856889934177264750904226853960151186031804618386608141872779 (pp146)
Version: Msieve v. 1.52 (SVN 927)
Total time: 610.76 hours.
Scaled time: 4752.95 units (timescale=7.782).
Factorization parameters were as follows:
n: 1036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001
m: 100000000000000000000000000000000000000000
deg: 5
c5: 400
c0: -139
skew: 0.81
# Murphy_E = 7.644e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 22300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3924032 x 3924261
Total sieving time: 606.91 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.62 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,207.000,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 610.76 hours.

GNFS, Msieve

15578457761911630194059034771183446933683661324672487274545240544243349150457623036342225922886731070175328689660805760548352375533584497535886398425128915365247449<164>

40764015743659097515863924282830175391<38>

382161999442728656233232921645605022718112821892123815494375551717438349935224126327065588459622181096691322677522126759919239<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2275246408
Step 1 took 8834ms
Step 2 took 3231ms
********** Factor found in step 2: 40764015743659097515863924282830175391
Found probable prime factor of 38 digits: 40764015743659097515863924282830175391
Composite cofactor 382161999442728656233232921645605022718112821892123815494375551717438349935224126327065588459622181096691322677522126759919239 has 126 digits

382161999442728656233232921645605022718112821892123815494375551717438349935224126327065588459622181096691322677522126759919239<126>

2953418315479291598280158586631498082170148219<46>
129396502161499597763680078010374313624516833507201821457918118137826981241716581<81>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4004374181
Step 1 took 4813ms
Step 2 took 2875ms
********** Factor found in step 2: 2953418315479291598280158586631498082170148219
Found prime factor of 46 digits: 2953418315479291598280158586631498082170148219
Prime cofactor 129396502161499597763680078010374313624516833507201821457918118137826981241716581 has 81 digits
 

GMP-ECM

436632308760309081813464844757253776944411110706917955464579318324205639942793743608651743019325971632053098187280533849417695741853353668153315029026275185868793103982183<171>

315565499841342978431555476069928615714519334824044090469803879836596435612612140648164393613805594308424417179919255375954407197919323941972775209<147>

21518688532756382274938260031342878714911593<44>
14664718036184215803120316562681918243088219636646002405070155279008412641770989066643257896360361496513<104>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3261958596
Step 1 took 55579ms
Step 2 took 25413ms
********** Factor found in step 2: 21518688532756382274938260031342878714911593
Found prime factor of 44 digits: 21518688532756382274938260031342878714911593
Prime cofactor 14664718036184215803120316562681918243088219636646002405070155279008412641770989066643257896360361496513 has 104 digits

3549425179364362216693891438779324894258855231845229141014108400603523349263865763038636851867113857596821655507182739229545593410271389<136>

187552879272390810932105067435778248146725009769249867<54>
18924930361689542972249764126725910919271786960475847196020649549182249643916950967<83>

3549425179364362216693891438779324894258855231845229141014108400603523349263865763038636851867113857596821655507182739229545593410271389=187552879272390810932105067435778248146725009769249867*18924930361689542972249764126725910919271786960475847196020649549182249643916950967

cado polynomial
n: 3549425179364362216693891438779324894258855231845229141014108400603523349263865763038636851867113857596821655507182739229545593410271389
skew: 111111.319
c0: 2669705415678793959220504810752
c1: 379241911744589702588148138
c2: -638853565536099675605
c3: -31856907033610609
c4: -24205365188
c5: 795600
Y0: -112511250415477876609316807
Y1: 28327244414909638547
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.142e-07
# f(x) = 795600*x^5-24205365188*x^4-31856907033610609*x^3-638853565536099675605*x^2+379241911744589702588148138*x+2669705415678793959220504810752
# g(x) = 28327244414909638547*x-112511250415477876609316807

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 18924930361689542972249764126725910919271786960475847196020649549182249643916950967 187552879272390810932105067435778248146725009769249867
Info:Square Root: Total cpu/real time for sqrt: 537.69/159.856
Info:Filtering - Singleton removal: Total cpu/real time for purge: 79.73/92.3388
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17013924
Info:Lattice Sieving: Average J: 3807.56 for 713519 special-q, max bucket fill -bkmult 1.0,1s:1.173640
Info:Lattice Sieving: Total time: 238270s
Info:Generate Factor Base: Total cpu/real time for makefb: 14.69/3.90309
Info:Linear Algebra: Total cpu/real time for bwc: 32855.6/8442.07
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 20922.48, WCT time 5347.94, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (45312 iterations)
Info:Linear Algebra: Lingen CPU time 287.51, WCT time 73.03
Info:Linear Algebra: Mksol: CPU time 11392.77,  WCT time 2927.4, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (22784 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 249.64/63.0573
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 76.41/88.8117
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 88.6s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7173.4
Info:Polynomial Selection (root optimized): Rootsieve time: 7170.93
Info:Filtering - Merging: Merged matrix has 1447493 rows and total weight 247374289 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 382.49/106.26
Info:Filtering - Merging: Total cpu/real time for replay: 54.26/46.1228
Info:Quadratic Characters: Total cpu/real time for characters: 50.05/21.8688
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54168/39.640/48.713/54.660/0.961
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44112/39.640/43.600/49.360/1.122
Info:Polynomial Selection (size optimized): Total time: 11371.2
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 192.79/162.526
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 149.7s
Info:Square Root: Total cpu/real time for sqrt: 537.69/159.856
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 499335/133891
Info:root: Cleaning up computation data in /tmp/cado.jcnl24qm
18924930361689542972249764126725910919271786960475847196020649549182249643916950967 187552879272390810932105067435778248146725009769249867

cado-nfs-3.0.0

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

103931359978499690786033871248472876513194181434608791511708052089912573209371274417968065963981057628016421268194434772943145539416800215117237812674399111080289625087608334879061<180>

2994435143237278555767085063310539429231386800154253<52>
34708168655187395606320732729436324500578190724471060509513492437642406618339845138734903269578547710191632557809165513745448937<128>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2755255065
Step 1 took 108455ms
Step 2 took 36645ms
********** Factor found in step 2: 2994435143237278555767085063310539429231386800154253
Found prime factor of 52 digits: 2994435143237278555767085063310539429231386800154253
Prime cofactor 34708168655187395606320732729436324500578190724471060509513492437642406618339845138734903269578547710191632557809165513745448937 has 128 digits

103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103<213>

345546722440225789146651040707988265328657618939165262299361416131497107876792427656739178584862128898447185617565585341804160328937712973284407162849050683<156>

63631882763202315869138727790911081559344653392457385597188856357510595819427165621931821286546742823057607177515392803605283078469854751255478272457966284604706212472721545358863885923231828872592086027<203>

194294858808383715329763964427768818505950886039670574485048559853051123390259894326507766547655255744516123333138590187711963974676374770998638545220884592111847728915304145190561257738631261865640731741311<207>

244374298621118467381595558594648573519369866497929838112117080396891333704423101125613283741549057095293330065202961072444422926133648872020454830302151001318520228015167<171>

14123240478966399905463225228110593685176617823443442560777569805453818331753680000470386633311187839338475976052930001535306562438195503476435071448827596071415439457652559301158964219274109825411103<200>

1251663210049534452688468399721659336445666256545753523738389750090218163968943016948680987468797<97>
11283578813830817959851131352391740901975694669795597381308087456300939294264910401420492948777668026699<104>

Number: 88858_219
N = 14123240478966399905463225228110593685176617823443442560777569805453818331753680000470386633311187839338475976052930001535306562438195503476435071448827596071415439457652559301158964219274109825411103 (200 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=1251663210049534452688468399721659336445666256545753523738389750090218163968943016948680987468797 (pp97)
r2=11283578813830817959851131352391740901975694669795597381308087456300939294264910401420492948777668026699 (pp104)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 31.83 hours.
Factorization parameters were as follows:
n: 14123240478966399905463225228110593685176617823443442560777569805453818331753680000470386633311187839338475976052930001535306562438195503476435071448827596071415439457652559301158964219274109825411103
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2
c0: -695
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 0
Relations: 6870476 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 11.81 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 5989322 x 5989547
Matrix solve time: 19.53 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 31.83 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

5434026930898379909699403578600336645725433389789520392565438706067097107389933579649241128223749983793923057401214154742330006829117075977643599556019960681757861740494485765204921671991503<190>

1060611283312455104537654342548806296414698153932317<52>
5123485876868161315275548138649674219876544347562323455433405765063952949564350409958711307371420898395121880828381027489277265960316874459<139>

Number: 88858_220
N = 5434026930898379909699403578600336645725433389789520392565438706067097107389933579649241128223749983793923057401214154742330006829117075977643599556019960681757861740494485765204921671991503 (190 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=1060611283312455104537654342548806296414698153932317 (pp52)
r2=5123485876868161315275548138649674219876544347562323455433405765063952949564350409958711307371420898395121880828381027489277265960316874459 (pp139)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 36.18 hours.
Factorization parameters were as follows:
n: 5434026930898379909699403578600336645725433389789520392565438706067097107389933579649241128223749983793923057401214154742330006829117075977643599556019960681757861740494485765204921671991503
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 4
c0: -139
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30142050
Relations: 7382954 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 12.52 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 6334565 x 6334790
Matrix solve time: 23.11 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 36.18 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

142418993057849489537499075995235603845146751082547014986571783301743534471615809196577152419228852299133893921847789332692326562238088291747942496484240284374539686671014216183837076310396631237252367<201>

31795431056026980722827449050594965351<38>
4479228251596647789808214626549489518806596762151381537454198500474096720831663145528144368258669233597359626313686527258279086392179726132251611039619797073851417<163>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1965850746
Step 1 took 10132ms
Step 2 took 3286ms
********** Factor found in step 2: 31795431056026980722827449050594965351
Found prime factor of 38 digits: 31795431056026980722827449050594965351
Prime cofactor 4479228251596647789808214626549489518806596762151381537454198500474096720831663145528144368258669233597359626313686527258279086392179726132251611039619797073851417 has 163 digits

9226445635189600460171459215225843644127986122685163257129206657838279991012220386394639082693983685734839073723196224826922133371731317038328108202940865807701511180313773186170439491891<187>

1036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001036001<223>

387727680219834769337564391598139155332534964463768923487035724079763053251602153492689922075900501308037313937223517675700670108093087142045662930119073586390183471483<168>

384521508525545269874915496337116992488041139694268786910992990275558170352108942578532026280569594871999376852741257655316907635847312479156958578420939262606252466299188160575672688446168211842930836049242295147619<216>

996071902160172995236683228039242353019810726492377349945248178921041431952313617896373380043029583954654855377670322397834587053699572243264799576413571<153>

61138063161788311288133295115771456619143568776666399842631709218259<68>
16292173003981003416946377854545307892272188952878706782806875074606033552251375764369<86>

Msieve v. 1.53 (SVN 1005)
Thu Dec 14 20:21:23 2023
random seeds: 7aeffed8 15f4a61a
factoring 996071902160172995236683228039242353019810726492377349945248178921041431952313617896373380043029583954654855377670322397834587053699572243264799576413571 (153 digits)
searching for 15-digit factors
commencing number field sieve (153-digit input)
R0: -342887474705852394013488932059
R1: 222086534066456853216583
A0: 509144595490593387630457892850348
A1: -94378812688344556378835739018
A2: 37641048718323019766279
A3: -228830102120058797
A4: -1288255492762
A5: 1357020
skew 515482.57, size 7.942e-015, alpha -5.867, combined = 3.894e-012 rroots = 3

commencing relation filtering
setting target matrix density to 125.0
estimated available RAM is 16335.2 MB
commencing duplicate removal, pass 1
read 10M relations
read 20M relations
read 30M relations
read 40M relations
error -1 reading relation 45580478
read 50M relations
error -15 reading relation 50279815
read 60M relations
read 70M relations
error -15 reading relation 71432217
read 80M relations
error -5 reading relation 81121567
read 90M relations
error -9 reading relation 96626382
read 100M relations
error -15 reading relation 102159548
error -9 reading relation 105611173
read 110M relations
read 120M relations
read 130M relations
read 140M relations
read 150M relations
read 160M relations
read 170M relations
error -9 reading relation 176319290
skipped 5 relations with composite factors
found 23341949 hash collisions in 179128766 relations
added 121882 free relations
commencing duplicate removal, pass 2
found 19798388 duplicates and 159452260 unique relations
memory use: 788.8 MB
reading ideals above 55640064
commencing singleton removal, initial pass
memory use: 3012.0 MB
reading all ideals from disk
memory use: 2776.3 MB
commencing in-memory singleton removal
begin with 159452260 relations and 136768201 unique ideals
reduce to 90270529 relations and 59826853 ideals in 12 passes
max relations containing the same ideal: 29
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 1506.0 MB
reading all ideals from disk
memory use: 3249.3 MB
keeping 65988352 ideals with weight <= 200, target excess is 477438
commencing in-memory singleton removal
begin with 90270529 relations and 65988352 unique ideals
reduce to 90270313 relations and 65988136 ideals in 4 passes
max relations containing the same ideal: 200
removing 8908117 relations and 6908117 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 81362196 relations and 65988136 unique ideals
reduce to 80703033 relations and 58402686 ideals in 7 passes
max relations containing the same ideal: 194
removing 6943614 relations and 4943614 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 73759419 relations and 58402686 unique ideals
reduce to 73307973 relations and 52996310 ideals in 7 passes
max relations containing the same ideal: 184
removing 6399830 relations and 4399830 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 66908143 relations and 52996310 unique ideals
reduce to 66512199 relations and 48190119 ideals in 7 passes
max relations containing the same ideal: 172
removing 6111358 relations and 4111358 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 60400841 relations and 48190119 unique ideals
reduce to 60026426 relations and 43693881 ideals in 7 passes
max relations containing the same ideal: 164
removing 5926445 relations and 3926445 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 54099981 relations and 43693881 unique ideals
reduce to 53728913 relations and 39384861 ideals in 7 passes
max relations containing the same ideal: 150
removing 5795377 relations and 3795377 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 47933536 relations and 39384861 unique ideals
reduce to 47560142 relations and 35203492 ideals in 6 passes
max relations containing the same ideal: 139
removing 5696051 relations and 3696051 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 41864091 relations and 35203492 unique ideals
reduce to 41471302 relations and 31100048 ideals in 7 passes
max relations containing the same ideal: 131
removing 5622971 relations and 3622971 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 35848331 relations and 31100048 unique ideals
reduce to 35426366 relations and 27037386 ideals in 7 passes
max relations containing the same ideal: 118
removing 5573324 relations and 3573324 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 29853042 relations and 27037386 unique ideals
reduce to 29382443 relations and 22970811 ideals in 6 passes
max relations containing the same ideal: 104
removing 5535542 relations and 3535542 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 23846901 relations and 22970811 unique ideals
reduce to 23303126 relations and 18860604 ideals in 8 passes
max relations containing the same ideal: 91
removing 5511216 relations and 3511216 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 17791910 relations and 18860604 unique ideals
reduce to 17122910 relations and 14632228 ideals in 7 passes
max relations containing the same ideal: 70
removing 5324800 relations and 3387947 ideals in 1936853 cliques
commencing in-memory singleton removal
begin with 11798110 relations and 14632228 unique ideals
reduce to 10948701 relations and 10312954 ideals in 10 passes
max relations containing the same ideal: 52
removing 428805 relations and 346887 ideals in 81918 cliques
commencing in-memory singleton removal
begin with 10519896 relations and 10312954 unique ideals
reduce to 10506274 relations and 9952329 ideals in 6 passes
max relations containing the same ideal: 52
relations with 0 large ideals: 1462
relations with 1 large ideals: 13450
relations with 2 large ideals: 168307
relations with 3 large ideals: 834649
relations with 4 large ideals: 2089944
relations with 5 large ideals: 2964105
relations with 6 large ideals: 2553663
relations with 7+ large ideals: 1880694
commencing 2-way merge
reduce to 6717686 relation sets and 6163741 unique ideals
commencing full merge
memory use: 816.0 MB
found 3035853 cycles, need 2995941
weight of 2995941 cycles is about 375359245 (125.29/cycle)
distribution of cycle lengths:
1 relations: 61868
2 relations: 143819
3 relations: 189130
4 relations: 210086
5 relations: 226409
6 relations: 230211
7 relations: 228653
8 relations: 220397
9 relations: 206636
10+ relations: 1278732
heaviest cycle: 28 relations
commencing cycle optimization
start with 27922778 relations
pruned 1424901 relations
memory use: 719.1 MB
distribution of cycle lengths:
1 relations: 61868
2 relations: 148052
3 relations: 198315
4 relations: 220576
5 relations: 239617
6 relations: 244142
7 relations: 243476
8 relations: 233273
9 relations: 218108
10+ relations: 1188514
heaviest cycle: 28 relations
RelProcTime: 4430

commencing linear algebra
read 2995941 cycles
cycles contain 10222982 unique relations
read 10222982 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1393.2 MB
read 2995941 cycles
matrix is 2995763 x 2995941 (1455.5 MB) with weight 439959390 (146.85/col)
sparse part has weight 345593173 (115.35/col)
filtering completed in 2 passes
matrix is 2995646 x 2995824 (1455.5 MB) with weight 439952786 (146.86/col)
sparse part has weight 345590403 (115.36/col)
matrix starts at (0, 0)
matrix is 2995646 x 2995824 (1455.5 MB) with weight 439952786 (146.86/col)
sparse part has weight 345590403 (115.36/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2995598 x 2995824 (1411.0 MB) with weight 378556595 (126.36/col)
sparse part has weight 339914722 (113.46/col)
using block size 8192 and superblock size 589824 for processor cache size 6144 kB
commencing Lanczos iteration (4 threads)
memory use: 1165.4 MB
linear algebra at 0.1%, ETA 4h54m2995824 dimensions (0.1%, ETA 4h54m)
checkpointing every 610000 dimensions824 dimensions (0.1%, ETA 4h55m)
linear algebra completed 2995479 of 2995824 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 47371 iterations (dim = 2995596)
recovered 30 nontrivial dependencies
BLanczosTime: 18287

commencing square root phase
handling dependencies 1 to 64
reading relations for dependency 1
read 1496456 cycles
cycles contain 5108532 unique relations
read 5108532 relations
multiplying 5108532 relations
multiply complete, coefficients have about 276.54 million bits
initial square root is modulo 91703
GCD is N, no factor found
reading relations for dependency 2
read 1497285 cycles
cycles contain 5112276 unique relations
read 5112276 relations
multiplying 5112276 relations
multiply complete, coefficients have about 276.75 million bits
initial square root is modulo 92551
sqrtTime: 1852
p68 factor: 61138063161788311288133295115771456619143568776666399842631709218259
p86 factor: 16292173003981003416946377854545307892272188952878706782806875074606033552251375764369
elapsed time 06:49:30

246318307018643173634069461330874182877152759077144449998913127652013469831807685869962917909146263860587514142733073622064772985617507495736623908250507818759182261<165>

18984800929721052571262171517650457271<38>
12974500387466658422122904243884952023983580533083563387154226909140532147326598913916347951340421245856777647248231989590248691<128>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1412962058
Step 1 took 13743ms
********** Factor found in step 1: 18984800929721052571262171517650457271
Found prime factor of 38 digits: 18984800929721052571262171517650457271
Prime cofactor 12974500387466658422122904243884952023983580533083563387154226909140532147326598913916347951340421245856777647248231989590248691 has 128 digits

9918575930542196473599106534680176758941658192483356009677554535430021099290648245887448463699375898406010458642389960219071586577885493512383466031481064074744404497379884185748147024042876020032547806916074217728115468093553<226>

1161879533840336653075143946843296904478442297602220059180123947136572270028011078317336009391544356739003481779463504931015137621936244634001099958629712493427381369857581361039855901540383349781<196>

16064899506258721755400602451425218621<38>
1387415374225401740915917255837436085836227<43>
52128662962531855917920335263763062491416070876952469357818088913171799119869091124640239587376289450982250472306643<116>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2692529493
Step 1 took 49296ms
Step 2 took 15924ms
********** Factor found in step 2: 1387415374225401740915917255837436085836227
Found probable prime factor of 43 digits: 1387415374225401740915917255837436085836227
Composite cofactor 837441731888705327833414181704982348234825645274962538530423930900349776139058359411330668248998344628377211379946402139065800280263933450692822425599303 has 153 digits

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=771017067
Step 1 took 32252ms
Step 2 took 12184ms
********** Factor found in step 2: 16064899506258721755400602451425218621
Found probable prime factor of 38 digits: 16064899506258721755400602451425218621
Probable prime cofactor 52128662962531855917920335263763062491416070876952469357818088913171799119869091124640239587376289450982250472306643 has 116 digits

116121510351443363348478166883352604871174879601258613631289841945633800344175697114223658864936345830067314856559647117741729974079639810265068364117456018447106135646762416858987<180>

51025291128613762796925956769256107207824188221247988208790548621361260040073105527878083884596783681821631730754086295208671580553116536143380835531202770548116951165379951778449596884731094669968257<200>

4361345350271655278220802466227050439428984264781754094291497850851646320159022077371272289815489036188061370771739838342104353933109842982610241933<148>

24856503358888814758528989563281397522241684482350699<53>
175460936210563804779364886766530241040437367248254637049028455162518508693460524403470401684967<96>

CADO:

STA:Sun Jun 23 03:39:58 AM AEST 2024 (4361345350271655278220802466227050439428984264781754094291497850851646320159022077371272289815489036188061370771739838342104353933109842982610241933 - C148)

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 4361345350271655278220802466227050439428984264781754094291497850851646320159022077371272289815489036188061370771739838342104353933109842982610241933 2>&1 | tee -a log-44 

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead.
  loc = locale.getdefaultlocale()[1]
Debug:root: Looking for parameter file for c148 in directory /home/bob/Downloads/Math/cado-nfs/parameters/factor
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c148
Debug:Parameters: Reading parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c148
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.rlq1hniw
Info:Database: Opened connection to database /tmp/cado.rlq1hniw/c148.db
Info:root: Set tasks.threads=18 based on --server-threads 18
Info:root: tasks.threads = 18 [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 = 18 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9
Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 4361345350271655278220802466227050439428984264781754094291497850851646320159022077371272289815489036188061370771739838342104353933109842982610241933
Debug:root: Root parameter dictionary:
N = 4361345350271655278220802466227050439428984264781754094291497850851646320159022077371272289815489036188061370771739838342104353933109842982610241933
name = c148
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 4361345350271655278220802466227050439428984264781754094291497850851646320159022077371272289815489036188061370771739838342104353933109842982610241933
skew: 1122580.399
c0: 50776452566797907463735446846860833
c1: 247252427273708134767283494159
c2: 93652337157672800002679
c3: -454747541390224666
c4: -29025335349
c5: 13860
Y0: 1266517465390636302301094600
Y1: 39916229375248654960501
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=3.087e+14) = 6.347e-07
# f(x) = 13860*x^5-29025335349*x^4-454747541390224666*x^3+93652337157672800002679*x^2+247252427273708134767283494159*x+50776452566797907463735446846860833
# g(x) = 39916229375248654960501*x+1266517465390636302301094600
Info:Polynomial Selection (root optimized): Best overall polynomial was 0-th in list after size optimization
===
Debug:Command: Process with PID 451184 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 24856503358888814758528989563281397522241684482350699 175460936210563804779364886766530241040437367248254637049028455162518508693460524403470401684967
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2773.14/337.141
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Factor Base: Total cpu/real time for makefb: 6.43/1.16188
Info:Filtering - Merging: Total cpu/real time for merge: 247.21/39.4982
Info:Filtering - Merging: Total cpu/real time for replay: 45.72/40.2936
Info:Linear Algebra: Total cpu/real time for bwc: 72387.4/9509.99
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 43907.01, WCT time 5706.62, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (84000 iterations)
Info:Linear Algebra: Lingen CPU time 110.18, WCT time 111.35
Info:Linear Algebra: Mksol: CPU time 23657.19,  WCT time 3101.46, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (40000 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 117089
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 81023/44.630/55.195/69.230/2.418
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 68695/43.320/47.942/58.970/1.304
Info:Polynomial Selection (size optimized): Total time: 49566.5
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4046.85
Info:Polynomial Selection (root optimized): Rootsieve time: 4046.3
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 515.94/462.627
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 462.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1481.48/983.932
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 835.9000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 590.06/420.967 
Info:Quadratic Characters: Total cpu/real time for characters: 77.46/21.1729
Info:Square Root: Total cpu/real time for sqrt: 2773.14/337.141
Info:Generate Free Relations: Total cpu/real time for freerel: 851.89/100.621
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 119009554 
Info:Lattice Sieving: Average J: 7950.52 for 637181 special-q, max bucket fill -bkmult 1.0,1s:1.135560
Info:Lattice Sieving: Total time: 1.19216e+06s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.26535e+06/151666 [1d 18:07:46]
Info:root: Cleaning up computation data in /tmp/cado.rlq1hniw
24856503358888814758528989563281397522241684482350699 175460936210563804779364886766530241040437367248254637049028455162518508693460524403470401684967

END:Mon Jun 24 09:47:46 PM AEST 2024 (4361345350271655278220802466227050439428984264781754094291497850851646320159022077371272289815489036188061370771739838342104353933109842982610241933 - C148)

5804344919453551934857316687751543080589760066406541989980232191884306873466871392815850168837617985976255696895615376698714273960783261780116489448774251319991419110264831719697601615101067163<193>

13628367613184519527530133726432736487523211651861007852901162351955602480256632895895522134155624309221761427780408673032555836623522205374383787998088445199470502108968302832972561666101535952364363218677939<209>

794293657458278990702893144684888487424493<42>

17157845193923586310877900779122470299430443514167836145706734826810281465614226375813166137221595537511334397431845502472806516656257530944141655616313993717388712223<167>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:328566265
Step 1 took 8645ms
Step 2 took 4071ms
********** Factor found in step 2: 794293657458278990702893144684888487424493
Found prime factor of 42 digits: 794293657458278990702893144684888487424493
Composite cofactor 17157845193923586310877900779122470299430443514167836145706734826810281465614226375813166137221595537511334397431845502472806516656257530944141655616313993717388712223 has 167 digits

1004423165580781870785632158868871799862308842693394725963079870950019132704825065931519359776441217820611914121822968810777794451003952843554628399791452649673053311631760491698283306525927273582751899164669290477674993146146459415981347<238>

611003687740334560789304465113638611906780537441230757868103501085916052050846156990280878749338819455831062222835315598027233839927055494281008557344058087034995767038529346564094337185741769643<195>

528665739159551471362496244651214146554443707790191461<54>

1155746708140535418700776678973293301178443501733003425806622654389663024901320091879556999786578650916598726183726786949510511204752805171663<142>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4208114969
Step 1 took 190356ms
Step 2 took 48028ms
********** Factor found in step 2: 528665739159551471362496244651214146554443707790191461
Found probable prime factor of 54 digits: 528665739159551471362496244651214146554443707790191461
Composite cofactor 1155746708140535418700776678973293301178443501733003425806622654389663024901320091879556999786578650916598726183726786949510511204752805171663 has 142 digits

1155746708140535418700776678973293301178443501733003425806622654389663024901320091879556999786578650916598726183726786949510511204752805171663<142>

2273779485379738261851717748813891512016139752309657777266664267<64>
508293225254214584855284499168853532616157048653129814038031368495769625195789<78>

11557467081405354187007766789732933011784435017330034258066226543896630249013200918795569997865786509165987261837267869495105112047528051=2273779485379738261851717748813891512016139752309657777266664267*508293225254214584855284499168853532616157048653129814038031368495769625195789

cado polynomial
n: 11557467081405354187007766789732933011784435017330034258066226543896630249013200918795569997865786509165987261837267869495105112047528051
skew: 180773.924
c0: 86286199708271168430895876771240
c1: 895936894085351374383988894
c2: -43451676893180146952677
c3: -50907600029042497
c4: 690752676474
c5: 476280
Y0: -2125022189708792915205375841
Y1: 11709362082282428093
# MurphyE = 2.293e-07,
# f(x) = 476280*x^5+690752676474*x^4-50907600029042497*x^3-43451676893180146952677*x^2+895936894085351374383988894*x+86286199708271168430895876771240
# g(x) = 11709362082282428093*x-2125022189708792915205375841

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

cado log (extracts)
Info:Square Root: Factors: 508293225254214584855284499168853532616157048653129814038031368495769625195789 2273779485379738261851717748813891512016139752309657777266664267
Info:Square Root: Total cpu/real time for sqrt: 908.58/268.623
Info:Generate Free Relations: Total cpu/real time for freerel: 492.79/124.176
Info:Filtering - Singleton removal: Total cpu/real time for purge: 343.62/394.438
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33918380
Info:Lattice Sieving: Average J: 3793.77 for 1063563 special-q, max bucket fill -bkmult 1.0,1s:1.136130
Info:Lattice Sieving: Total time: 454945s
Info:Generate Factor Base: Total cpu/real time for makefb: 11.8/3.14017
Info:Linear Algebra: Total cpu/real time for bwc: 71177.1/18304.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 45663.17, WCT time 11686.33, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (64512 iterations)
Info:Linear Algebra: Lingen CPU time 415.84, WCT time 105.89
Info:Linear Algebra: Mksol: CPU time 24693.39,  WCT time 6339.15, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32256 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 153.16/175.179
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 174.79999999999998s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 11347.3
Info:Polynomial Selection (root optimized): Rootsieve time: 11344.5
Info:Filtering - Merging: Merged matrix has 2062513 rows and total weight 353012534 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 553.67/155.377
Info:Filtering - Merging: Total cpu/real time for replay: 87.23/74.4379
Info:Quadratic Characters: Total cpu/real time for characters: 80.96/34.1871
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66291/42.130/50.775/56.260/0.922
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54037/41.450/45.507/51.510/1.205
Info:Polynomial Selection (size optimized): Total time: 27931.2
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 549.94/510.867
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 437.5s
Info:Square Root: Total cpu/real time for sqrt: 908.58/268.623
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 984340/138878
Info:root: Cleaning up computation data in /tmp/cado.4hosnwwb
508293225254214584855284499168853532616157048653129814038031368495769625195789 2273779485379738261851717748813891512016139752309657777266664267

cado-nfs-3.0.0

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

818089756604426672018801243754842032804672928700263948581449262051404510987732757188678136530866676509953010882342507380116760328927252843601434796947024413430406205721585460893197643254693<189>

25797115192008698328423178032597401778119<41>

31712451199111226060503741006623661080712908874419669142176148830634202664222251861728077350650129641163525056165769956767498051947717412244565104947<149>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1708674103
Step 1 took 81417ms
Step 2 took 32609ms
********** Factor found in step 2: 25797115192008698328423178032597401778119
Found prime factor of 41 digits: 25797115192008698328423178032597401778119
Composite cofactor 31712451199111226060503741006623661080712908874419669142176148830634202664222251861728077350650129641163525056165769956767498051947717412244565104947 has 149 digits

31712451199111226060503741006623661080712908874419669142176148830634202664222251861728077350650129641163525056165769956767498051947717412244565104947<149>

1342898420101344145332164374193416871928381589603534639<55>
23614929263762177363488331051773232166709264863400094844350320550225601387512586471979016211773<95>

FACTORS
1342898420101344145332164374193416871928381589603534639
23614929263762177363488331051773232166709264863400094844350320550225601387512586471979016211773
POLYNOMIAL
n: 31712451199111226060503741006623661080712908874419669142176148830634202664222251861728077350650129641163525056165769956767498051947717412244565104947
skew: 767703.138
c0: 11913440123887481889538808365392920
c1: 165962102188626110988112559782
c2: 401371761727840712443017
c3: -845971216015803697
c4: -411625819082
c5: 191520
Y0: -51822884168754832364911451379
Y1: 2505448231695509416433
# MurphyE (Bf=2.147e+09,Bg=2.147e+09,area=4.027e+14) = 6.634e-07
# f(x) = 191520*x^5-411625819082*x^4-845971216015803697*x^3+401371761727840712443017*x^2+165962102188626110988112559782*x+11913440123887481889538808365392920
# g(x) = 2505448231695509416433*x-51822884168754832364911451379

cado-nfs

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

6658479154196635506632252716719904826714178688956158484394885768059893290604980196078139278812575788172900915493870431330510852644751790665392003308751845481718474537068377341519306186061859838625515721961745997969452371299255564166111<235>

1680960186272308941655506871728572647<37>

3961116514581141935965229221997202064781455948805241344404867813780710616892487333556508079453643753512323225549346973880961529289726988252815401625777975673524960621091936700037600409736120782231113<199>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:892261472
Step 1 took 12600ms
Step 2 took 4948ms
********** Factor found in step 2: 1680960186272308941655506871728572647
Found prime factor of 37 digits: 1680960186272308941655506871728572647
Composite cofactor 3961116514581141935965229221997202064781455948805241344404867813780710616892487333556508079453643753512323225549346973880961529289726988252815401625777975673524960621091936700037600409736120782231113 has 199 digits

6383418962741601507862547026781212641526905385903564619588496627869736496594252214843058304621830555049359962621574120023596359757784056403917211386211136476233<160>

5414360506443648942829319931896152232804274973<46>
1178979300536909720795325253868976124821908991492222313723781601872748672283342341520070903425227936588955739566621<115>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2072473538
Step 1 took 114359ms
Step 2 took 39608ms
********** Factor found in step 2: 5414360506443648942829319931896152232804274973
Found prime factor of 46 digits: 5414360506443648942829319931896152232804274973
Prime cofactor 1178979300536909720795325253868976124821908991492222313723781601872748672283342341520070903425227936588955739566621 has 115 digits

307144272136947359629206336979940911728440105472196997520885687977199315117159940405787226090449677196192747949028601069371407895795283841802248826336116112334707726623895157068821960861839352219178887470149314931762971699227757931<231>

619993616598023404424610673807007548552088701184112750903389787509630461417913492379037619505685476196335261817841757223364460521390548055128229178139080917873054322661197495228277353713636568531559490034727564429<213>

369035228129639399263405586484852091549511495118823880301331319878218050524586310021851205871056813899485536119173744271452444670145848590696172756681361057009274502957147563235380767927674210496541186275436599829069<216>

486723886206213761802609947559012296271226498614079088609722556102330525924545845267422030948848898248024676728493233782179670406213559256246689375137553634703790686751586763965510761<183>

49637687753948969992477743475281372753187447201089566108520526391943483610824946738854110677293852390117146792103188403781379694397608493928657431626979616602445984674594721216311377532961723514036220836677998293081530476692096935171972356588030381129<251>

1545812161959641601262302283773808152962143383073471545388504866693996165444371832580888702271084720346916826949646229233991560198103318624396209565090849855043705970919499495550911948596989693928629205452518038014954054120032853<229>

21534772874533547262068920822150725592835327525321063618095138031960883980572732136991095231537801540996341599152917197707878271946230682659081955677267466322910301550686904599524819989796548245538319980952957552969615142777726166327083849876580776503<251>

14408152080389805004517040556438600819<38>

1494624206794944884173372715597258175431377249825091050631647904751647134675022168507460101828046197010194853583725899594922476649479763296576435998441906720674441731512414300397883039829775204525516558059221089837<214>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3984739428
Step 1 took 24796ms
********** Factor found in step 1: 14408152080389805004517040556438600819
Found prime factor of 38 digits: 14408152080389805004517040556438600819
Composite cofactor 14946242067949448841733727155972581754313772498250910506316479047516471346750221685074601018280461970101948535837258995949224766494797632965764359984419067206744417315124143003978830398
29775204525516558059221089837 has 214 digits

3979034358930438577193785601662271234957441389254057430105028668679976923338121292713833488592264462505392569789916466684218950327305455245964119229836057590589792311916915083308396448517274688334205787219610938789<214>

34697782490133729358643937536433930886732621<44>
114676906515909827182565354741191031387681341864512525020896779619861209477683363160767654997428261991099882039830243463102194224697071545731893448354436468121233087201209<171>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2357072171
Step 1 took 168207ms
Step 2 took 53773ms
********** Factor found in step 2: 34697782490133729358643937536433930886732621
Found prime factor of 44 digits: 34697782490133729358643937536433930886732621
Prime cofactor 114676906515909827182565354741191031387681341864512525020896779619861209477683363160767654997428261991099882039830243463102194224697071545731893448354436468121233087201209 has 171 digits

148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148143<264>

6006178468175247569251496086445857<34>

24665958384875868609960208362768976529016879978100575421121261086938044079327576038212932666040017209410243619440967644406905232494713425369697463778856155184583268782048600511555723496483671027266168082816190009765200921239841999<230>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:650718429
Step 1 took 13769ms
Step 2 took 5602ms
********** Factor found in step 2: 6006178468175247569251496086445857
Found prime factor of 34 digits: 6006178468175247569251496086445857
Composite cofactor 24665958384875868609960208362768976529016879978100575421121261086938044079327576038212932666040017209410243619440967644406905232494713425369697463778856155184583268782048600511555723496483671027266168082816190009765200921239841999 has 230 digits

120120599979153751143444995233972039721641041570546973892787339751940650756584165502299489934594588769231307275168091488158767811218340276673578762688053449454252801572165145627531723197953064826275111389<204>

36547613438250010150714537122459820619064329<44>
3286687930584214411011796410395746607943554047081967238166395222713477137959789834772253920447448648944478761503085022846946644176724344719439912372935933529141<160>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1538709088
Step 1 took 73004ms
Step 2 took 24220ms
********** Factor found in step 2: 36547613438250010150714537122459820619064329
Found probable prime factor of 44 digits: 36547613438250010150714537122459820619064329
Probable prime cofactor 3286687930584214411011796410395746607943554047081967238166395222713477137959789834772253920447448648944478761503085022846946644176724344719439912372935933529141 has 160 digits

902313011928187194399438666806344594225021985924496173677624327261034560436586092332407691073868644635941906885489935864933987103831295461416252964590948337375754706605062025512453275672743021599102279806891850810306349806804804851986336321<240>

14026989262984786490067048476545225938379891673434859564047799491100930678724607435057192292748595537108619305185443622581025860485750674682188056642364387745830520436471569418897436462200807665968940365107405050843<215>

2204711647506745558289488582473150645713<40>
6362278386313042495212844150805882640523802143143827184830078220981358818523942378162909779701120780746471533028954791675564596525864385143041103486434169825586177921631596011<175>