9442974094400344793957141586221558299418737351900223000194176391374468530016947645554287697214127464461888934656065587<118>

1284672936852484123604025998967284881474624433797740161<55>
7350488847018234181237266048004306629901617350540406588921586867<64>

Number: 1
N=9442974094400344793957141586221558299418737351900223000194176391374468530016947645554287697214127464461888934656065587
  ( 118 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=1284672936852484123604025998967284881474624433797740161 (pp55)
 r2=7350488847018234181237266048004306629901617350540406588921586867 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.41 hours.
Scaled time: 10.88 units (timescale=7.704).
Factorization parameters were as follows:
n: 9442974094400344793957141586221558299418737351900223000194176391374468530016947645554287697214127464461888934656065587
m: 50000000000000000000000000000000
deg: 4
c4: 11
c0: 10
skew: 0.98
# Murphy_E = 2.202e-08
type: snfs
lss: 1
rlim: 950000
alim: 950000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 950000/950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [475000, 775001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 112765 x 112990
Total sieving time: 1.40 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,127.000,4,0,0,0,0,0,0,0,0,950000,950000,26,26,46,46,2.3,2.3,75000
total time: 1.41 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

1076421834155475316974306736023237993011923416233470246002473159127631715796654489379531385185396936383273072618615996757<121>

210674520279178433065326013364820859803959775282707<51>
5109406836332362938402674440251003353512718267733177022386728855644151<70>

Number: 1
N=1076421834155475316974306736023237993011923416233470246002473159127631715796654489379531385185396936383273072618615996757
  ( 121 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=210674520279178433065326013364820859803959775282707 (pp51)
 r2=5109406836332362938402674440251003353512718267733177022386728855644151 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.00 hours.
Scaled time: 15.57 units (timescale=7.794).
Factorization parameters were as follows:
n: 1076421834155475316974306736023237993011923416233470246002473159127631715796654489379531385185396936383273072618615996757
m: 500000000000000000000000000000000
deg: 4
c4: 11
c0: 1
skew: 0.55
# Murphy_E = 1.243e-08
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 1050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 168686 x 168934
Total sieving time: 1.97 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,131.000,4,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,100000
total time: 2.00 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

4645607935058557235919326805694506602661621610776984313722264887853705871128054981928000301910283323496801<106>

55133239773872064267205023298031836054429802563<47>
84261471919887710988333057802710848975491354265073928505227<59>

Number: 1
N=4645607935058557235919326805694506602661621610776984313722264887853705871128054981928000301910283323496801
  ( 106 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=55133239773872064267205023298031836054429802563 (pp47)
 r2=84261471919887710988333057802710848975491354265073928505227 (pp59)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.89 hours.
Scaled time: 22.32 units (timescale=7.734).
Factorization parameters were as follows:
n: 4645607935058557235919326805694506602661621610776984313722264887853705871128054981928000301910283323496801
m: 5000000000000000000000000000000000
deg: 4
c4: 11
c0: 10
skew: 0.98
# Murphy_E = 8.937e-09
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1345001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 163131 x 163360
Total sieving time: 2.86 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,135.000,4,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,100000
total time: 2.89 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

10136152417408905163465549616065802417909509700154859318719192357623002068003962266587327877226100129769<104>

1321145084824046275495620917863612500045343006686419<52>
7672247759797604463799157146135814630892679440509651<52>

Number: 1
N=10136152417408905163465549616065802417909509700154859318719192357623002068003962266587327877226100129769
  ( 104 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=1321145084824046275495620917863612500045343006686419 (pp52)
 r2=7672247759797604463799157146135814630892679440509651 (pp52)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.17 hours.
Scaled time: 24.70 units (timescale=7.800).
Factorization parameters were as follows:
n: 10136152417408905163465549616065802417909509700154859318719192357623002068003962266587327877226100129769
m: 10000000000000000000000000000000000
deg: 4
c4: 55
c0: 8
skew: 0.62
# Murphy_E = 6.393e-09
type: snfs
lss: 1
rlim: 1380000
alim: 1380000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1380000/1380000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [690000, 1490001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 210278 x 210503
Total sieving time: 3.13 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,137.000,4,0,0,0,0,0,0,0,0,1380000,1380000,26,26,48,48,2.3,2.3,100000
total time: 3.17 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

110905846600324815796257176641093842360091244084657376843688121816053953609044201845677868036829476280479<105>

77644606969046166138943376543671572491<38>
1428377976651212754239467437551302673535226921426872943218699524669<67>

Number: 1
N=110905846600324815796257176641093842360091244084657376843688121816053953609044201845677868036829476280479
  ( 105 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=77644606969046166138943376543671572491 (pp38)
 r2=1428377976651212754239467437551302673535226921426872943218699524669 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.06 hours.
Scaled time: 39.49 units (timescale=7.806).
Factorization parameters were as follows:
n: 110905846600324815796257176641093842360091244084657376843688121816053953609044201845677868036829476280479
m: 50000000000000000000000000000000000
deg: 4
c4: 11
c0: 1
skew: 0.55
# Murphy_E = 4.992e-09
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [750000, 1250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 192616 x 192842
Total sieving time: 5.03 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,139.000,4,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,100000
total time: 5.06 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

1649775643571149368696696093160113602865776399331708440698856604790710792351425033817346366182115359138219234607921996102727<124>

1222576981703352251512840504709349461425751549<46>
1349424754646209414660263688132839658558238016045063961096041256681900084427923<79>

Number: 1
N=1649775643571149368696696093160113602865776399331708440698856604790710792351425033817346366182115359138219234607921996102727
  ( 124 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=1222576981703352251512840504709349461425751549 (pp46)
 r2=1349424754646209414660263688132839658558238016045063961096041256681900084427923 (pp79)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.84 hours.
Scaled time: 22.15 units (timescale=7.800).
Factorization parameters were as follows:
n: 1649775643571149368696696093160113602865776399331708440698856604790710792351425033817346366182115359138219234607921996102727
m: 10000000000000000000000000000
deg: 5
c5: 275
c0: 4
skew: 0.43
# Murphy_E = 3.491e-09
type: snfs
lss: 1
rlim: 1660000
alim: 1660000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1660000/1660000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [830000, 1430001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 258320 x 258545
Total sieving time: 2.79 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1660000,1660000,26,26,48,48,2.3,2.3,100000
total time: 2.84 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

8365895743612973802074245288250003903819875913663018752294347953052352563267937265686123094135529628201264019388505559<118>

2107640656643916386919736534330272619<37>
3969317880275822964610305947164391960057617027401139008544550048343081302865608261<82>

Number: 1
N=8365895743612973802074245288250003903819875913663018752294347953052352563267937265686123094135529628201264019388505559
  ( 118 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=2107640656643916386919736534330272619 (pp37)
 r2=3969317880275822964610305947164391960057617027401139008544550048343081302865608261 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.10 hours.
Scaled time: 32.12 units (timescale=7.831).
Factorization parameters were as follows:
n: 8365895743612973802074245288250003903819875913663018752294347953052352563267937265686123094135529628201264019388505559
m: 50000000000000000000000000000
deg: 5
c5: 22
c0: 1
skew: 0.54
# Murphy_E = 2.698e-09
type: snfs
lss: 1
rlim: 1820000
alim: 1820000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1820000/1820000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [910000, 1810001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 242264 x 242491
Total sieving time: 4.06 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1820000,1820000,26,26,49,49,2.3,2.3,100000
total time: 4.10 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

8114069070619037855406854961322840751801756586418878486789496739186097598461201542201248813113289582463929631572197117398251<124>

381401265512657217169770028302968117<36>
21274363260731665347521500138666532055248035609367917966566382849610765997376524605836703<89>

Number: 1
N=8114069070619037855406854961322840751801756586418878486789496739186097598461201542201248813113289582463929631572197117398251
  ( 124 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=381401265512657217169770028302968117 (pp36)
 r2=21274363260731665347521500138666532055248035609367917966566382849610765997376524605836703 (pp89)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.83 hours.
Scaled time: 37.85 units (timescale=7.831).
Factorization parameters were as follows:
n: 8114069070619037855406854961322840751801756586418878486789496739186097598461201542201248813113289582463929631572197117398251
m: 100000000000000000000000000000
deg: 5
c5: 55
c0: 8
skew: 0.68
# Murphy_E = 2.064e-09
type: snfs
lss: 1
rlim: 1950000
alim: 1950000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1950000/1950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [975000, 2075001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 303438 x 303663
Total sieving time: 4.79 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1950000,1950000,26,26,49,49,2.3,2.3,100000
total time: 4.83 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

234804534873049982491266210520862032851254862033466015826064724151803198075333696520449528244389887824225359347421673732490113533713303423846297737<147>

43101043118836429263083511656706674149321063535213<50>
5447769192630826687641582171250435305401234136884973436488274993415565825380737659194659877627149<97>

Number: n
N=234804534873049982491266210520862032851254862033466015826064724151803198075333696520449528244389887824225359347421673732490113533713303423846297737  ( 147 digits)
SNFS difficulty: 154 digits.
Divisors found:

Thu Oct  6 13:41:32 2022  p50 factor: 43101043118836429263083511656706674149321063535213
Thu Oct  6 13:41:32 2022  p97 factor: 5447769192630826687641582171250435305401234136884973436488274993415565825380737659194659877627149
Thu Oct  6 13:41:32 2022  elapsed time 00:05:38 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 55x10^153+8 = 61(152)2
#
n: 234804534873049982491266210520862032851254862033466015826064724151803198075333696520449528244389887824225359347421673732490113533713303423846297737
m: 5000000000000000000000000000000
deg: 5
c5: 11
c0: 5
skew: 0.85
# Murphy_E = 1.153e-09
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1027433 hash collisions in 12833449 relations (12650836 unique)
Msieve: matrix is 336913 x 337145 (112.5 MB)

Sieving start time : 2022/10/06 13:17:54
Sieving end time  : 2022/10/06 13:35:37

Total sieving time: 0hrs 17min 43secs.

Total relation processing time: 0hrs 2min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 14sec.

Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

375564708033425126230194131353298665059889032606288019179177404264435077643528300807159781646859497325597939<108>

1747718818999373374882077778495545543491<40>
214888518651099894561205161640973996281028858189582286567910525123729<69>

375564708033425126230194131353298665059889032606288019179177404264435077643528300807159781646859497325597939=1747718818999373374882077778495545543491*214888518651099894561205161640973996281028858189582286567910525123729

cado polynomial
n: 375564708033425126230194131353298665059889032606288019179177404264435077643528300807159781646859497325597939
skew: 8468.152
c0: -1118931747898085537162033
c1: -21903106211479006158
c2: -85952547953850757
c3: -19847822290348
c4: 1202732236
c5: 7680
Y0: 279828264805683862612
Y1: 28351892292235957
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.908e-06
# f(x) = 7680*x^5+1202732236*x^4-19847822290348*x^3-85952547953850757*x^2-21903106211479006158*x-1118931747898085537162033
# g(x) = 28351892292235957*x+279828264805683862612

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1747718818999373374882077778495545543491 214888518651099894561205161640973996281028858189582286567910525123729
Info:Square Root: Total cpu/real time for sqrt: 215.7/63.0113
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11380/31.030/38.081/43.450/1.055
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8738/30.080/33.796/38.620/0.862
Info:Polynomial Selection (size optimized): Total time: 735.6
Info:Generate Factor Base: Total cpu/real time for makefb: 2.27/0.629133
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 68.65/72.924
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 51.89999999999999s
Info:Quadratic Characters: Total cpu/real time for characters: 10.51/4.11847
Info:Square Root: Total cpu/real time for sqrt: 215.7/63.0113
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.28/19.239
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 46.97/51.9553
Info:Generate Free Relations: Total cpu/real time for freerel: 63.23/16.3983
Info:Filtering - Merging: Merged matrix has 276570 rows and total weight 42891588 (155.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 41.87/12.424
Info:Filtering - Merging: Total cpu/real time for replay: 9.17/7.4092
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4891595
Info:Lattice Sieving: Average J: 1904.74 for 63950 special-q, max bucket fill -bkmult 1.0,1s:1.284130
Info:Lattice Sieving: Total time: 6352.63s
Info:Linear Algebra: Total cpu/real time for bwc: 932.23/241.79
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 556.64, WCT time 142.67, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8704 iterations)
Info:Linear Algebra: Lingen CPU time 43.46, WCT time 11.03
Info:Linear Algebra: Mksol: CPU time 310.59,  WCT time 79.48, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4352 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 255.31
Info:Polynomial Selection (root optimized): Rootsieve time: 254.3
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 13829.8/3914.89
Info:root: Cleaning up computation data in /tmp/cado.0w1219tx
1747718818999373374882077778495545543491 214888518651099894561205161640973996281028858189582286567910525123729

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

956416822661820110380764289253803791462437838021743628665808963232865443129507530746327494069240604674375628571273314006667284531459<132>

46287824054643826795606478466814221697871018172348395707<56>
20662384594547981892864023464436751075110452232814888580558417561814844622937<77>

Number: 1
N=956416822661820110380764289253803791462437838021743628665808963232865443129507530746327494069240604674375628571273314006667284531459
  ( 132 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=46287824054643826795606478466814221697871018172348395707 (pp56)
 r2=20662384594547981892864023464436751075110452232814888580558417561814844622937 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 14.05 hours.
Scaled time: 108.91 units (timescale=7.752).
Factorization parameters were as follows:
n: 956416822661820110380764289253803791462437838021743628665808963232865443129507530746327494069240604674375628571273314006667284531459
m: 50000000000000000000000000000000
deg: 5
c5: 22
c0: 1
skew: 0.54
# Murphy_E = 7.222e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 484306 x 484531
Total sieving time: 13.95 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,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 14.05 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

769391934890536207650420710918417347761984723294967116704983399699311325156399276633347320878411214177341<105>

890096565815380256241780752408499322181<39>
864391532828495319628041209127117169829525493335033499099370270361<66>

Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:4104603155 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 769391934890536207650420710918417347761984723294967116704983399699311325156399276633347320878411214177341 (105 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4104603155
Step 1 took 3719ms
Step 2 took 3750ms
********** Factor found in step 2: 890096565815380256241780752408499322181
Found probable prime factor of 39 digits: 890096565815380256241780752408499322181
Probable prime cofactor 864391532828495319628041209127117169829525493335033499099370270361 has 66 digits

14211275100331865004032785934537587034155417293100045624435916603959188104026688515155115407579530968748781111820220838536011085081982209794328717533<149>

51953838765920148015765533165007158773683669214174751575830979<62>
273536574734376528558941199919240693164703460795233495581597046889334010039257574600927<87>

Number: n
N=14211275100331865004032785934537587034155417293100045624435916603959188104026688515155115407579530968748781111820220838536011085081982209794328717533  ( 149 digits)
SNFS difficulty: 164 digits.
Divisors found:

Sat Oct 15 02:39:10 2022  p62 factor: 51953838765920148015765533165007158773683669214174751575830979
Sat Oct 15 02:39:10 2022  p87 factor: 273536574734376528558941199919240693164703460795233495581597046889334010039257574600927
Sat Oct 15 02:39:10 2022  elapsed time 00:08:35 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 55x10^163+8 = 61(162)2
#
n: 14211275100331865004032785934537587034155417293100045624435916603959188104026688515155115407579530968748781111820220838536011085081982209794328717533
m: 500000000000000000000000000000000
deg: 5
c5: 11
c0: 5
skew: 0.85
# Murphy_E = 4.723e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2152844 hash collisions in 19813479 relations (18466739 unique)
Msieve: matrix is 651364 x 651609 (99.8 MB)

Sieving start time : 2022/10/15 01:43:59
Sieving end time  : 2022/10/15 02:30:14

Total sieving time: 0hrs 46min 15secs.

Total relation processing time: 0hrs 2min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 39sec.

Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

9140817282105347793280229849920873922148238096977358796295152501087900160294899163893303701614376267244938125690153710319773120423933<133>

8707752888834399269099230024232082039620841521<46>
1049733197393124183547250115181298645897416625254010650282657899493149604564351950744973<88>

Number: 1
N=9140817282105347793280229849920873922148238096977358796295152501087900160294899163893303701614376267244938125690153710319773120423933
  ( 133 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=8707752888834399269099230024232082039620841521 (pp46)
 r2=1049733197393124183547250115181298645897416625254010650282657899493149604564351950744973 (pp88)
Version: Msieve v. 1.52 (SVN 927)
Total time: 30.63 hours.
Scaled time: 237.04 units (timescale=7.740).
Factorization parameters were as follows:
n: 9140817282105347793280229849920873922148238096977358796295152501087900160294899163893303701614376267244938125690153710319773120423933
m: 1000000000000000000000000000000000
deg: 5
c5: 1375
c0: 2
skew: 0.27
# Murphy_E = 2.742e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2200000, 4500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 850030 x 850255
Total sieving time: 30.41 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,52,52,2.4,2.4,100000
total time: 30.63 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

83570309536994167163928620363215756024636176708933189411017144367546155606219628620513929498128883730053943049065739930014426466104261<134>

15778914021471817298434751382707746651<38>
5296328341942441200529939285010072010968364779009715381769313249963137369728942694300443798326111<97>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:256716226
Step 1 took 4859ms
Step 2 took 3312ms
********** Factor found in step 2: 15778914021471817298434751382707746651
Found prime factor of 38 digits: 15778914021471817298434751382707746651
Prime cofactor 5296328341942441200529939285010072010968364779009715381769313249963137369728942694300443798326111 has 97 digits
 

GMP-ECM

45862423969387012902712228625759878532457174654280198977055990439572470400967027111693426746083860621937625889652907<116>

6952234342554892258902230532609371330562203<43>
6596789134201268510481633178160251430613659664236360273725952376877400369<73>

45862423969387012902712228625759878532457174654280198977055990439572470400967027111693426746083860621937625889652907=6952234342554892258902230532609371330562203*6596789134201268510481633178160251430613659664236360273725952376877400369

cado polynomial
n: 45862423969387012902712228625759878532457174654280198977055990439572470400967027111693426746083860621937625889652907
skew: 9045.275
c0: -5731250137941835632545140
c1: 738365049624039613823
c2: -270377844124555241
c3: -19242853735724
c4: 2064882750
c5: 156960
Y0: -17709919379420396964623
Y1: 8547449433369341
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.345e-07
# f(x) = 156960*x^5+2064882750*x^4-19242853735724*x^3-270377844124555241*x^2+738365049624039613823*x-5731250137941835632545140
# g(x) = 8547449433369341*x-17709919379420396964623

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6596789134201268510481633178160251430613659664236360273725952376877400369 6952234342554892258902230532609371330562203
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 22316/33.540/41.313/46.540/1.092
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17622/32.880/36.553/41.880/0.856
Info:Polynomial Selection (size optimized): Total time: 2663.89
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 359.83
Info:Polynomial Selection (root optimized): Rootsieve time: 340.65
Info:Generate Factor Base: Total cpu/real time for makefb: 4.65/0.758474
Info:Generate Free Relations: Total cpu/real time for freerel: 73.14/9.21025
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7775910
Info:Lattice Sieving: Average J: 1900.23 for 208323 special-q, max bucket fill -bkmult 1.0,1s:1.244010
Info:Lattice Sieving: Total time: 48411.8s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.06/32.2071
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 31.299999999999994s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 184.21/140.606
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 119.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 157.39/122.176
Info:Filtering - Merging: Merged matrix has 460774 rows and total weight 71968700 (156.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 106.03/15.3271
Info:Filtering - Merging: Total cpu/real time for replay: 15.31/12.5964
Info:Linear Algebra: Total cpu/real time for bwc: 2199.72/579.28
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 356.93, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14464 iterations)
Info:Linear Algebra: Lingen CPU time 49.98, WCT time 13.59
Info:Linear Algebra: Mksol: WCT time 198.17, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 24.79/5.80438
Info:Square Root: Total cpu/real time for sqrt: 885.97/119.078
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 108123/13453.6
Info:root: Cleaning up computation data in /tmp/cado.xuszin_5
6596789134201268510481633178160251430613659664236360273725952376877400369 6952234342554892258902230532609371330562203

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

1791582116974059403905769907702979236000591688977992776288543818342254949122515883859135128133089224025104183199737541849341801454158046190082341<145>

856587686292336820552968819745983239419435613<45>
2091533821515415826845020365099259545085795459840191850140026050761311550605454070428469974416874857<100>

Number: n
N=1791582116974059403905769907702979236000591688977992776288543818342254949122515883859135128133089224025104183199737541849341801454158046190082341  ( 145 digits)
SNFS difficulty: 173 digits.
Divisors found:

Sat Oct 15 13:00:30 2022  p45 factor: 856587686292336820552968819745983239419435613
Sat Oct 15 13:00:30 2022  p100 factor: 2091533821515415826845020365099259545085795459840191850140026050761311550605454070428469974416874857
Sat Oct 15 13:00:30 2022  elapsed time 00:12:39 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 55x10^172+8 = 61(171)2
#
n: 1791582116974059403905769907702979236000591688977992776288543818342254949122515883859135128133089224025104183199737541849341801454158046190082341
m: 10000000000000000000000000000000000
deg: 5
c5: 1375
c0: 2
skew: 0.27
# Murphy_E = 1.737e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1682850 hash collisions in 13589344 relations (12665947 unique)
Msieve: matrix is 760126 x 760353 (262.9 MB)

Sieving start time : 2022/10/15 11:50:12
Sieving end time  : 2022/10/15 12:47:30

Total sieving time: 0hrs 57min 18secs.

Total relation processing time: 0hrs 8min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 54sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

759335250890890721777714015918517322577316383088588126943338414083303656120236659881742790699852658814447546048305069880146290411291319871727439700167078012063943<162>

278922046350557936089138490548532205852605731<45>
2722392370291642243379565079127268350072762735955808781629565636879406014085537853920014938654558903721867816261194253<118>

Number: n
N=759335250890890721777714015918517322577316383088588126943338414083303656120236659881742790699852658814447546048305069880146290411291319871727439700167078012063943  ( 162 digits)
SNFS difficulty: 174 digits.
Divisors found:

Sat Oct  8 03:32:55 2022  p45 factor: 278922046350557936089138490548532205852605731
Sat Oct  8 03:32:55 2022  p118 factor: 2722392370291642243379565079127268350072762735955808781629565636879406014085537853920014938654558903721867816261194253
Sat Oct  8 03:32:55 2022  elapsed time 00:16:37 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 55x10^173+8 = 61(172)2
#
n: 759335250890890721777714015918517322577316383088588126943338414083303656120236659881742790699852658814447546048305069880146290411291319871727439700167078012063943
m: 50000000000000000000000000000000000
deg: 5
c5: 11
c0: 5
skew: 0.85
# Murphy_E = 1.897e-10
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 22850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1065846 hash collisions in 11762271 relations (11437360 unique)
Msieve: matrix is 895341 x 895567 (309.3 MB)

Sieving start time : 2022/10/08 01:14:33
Sieving end time  : 2022/10/08 03:15:48

Total sieving time: 2hrs 1min 15secs.

Total relation processing time: 0hrs 12min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 58sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

87306927784178260948023676962688550152782800980042448976611289976425005567729846684876786862892244050269817656979290914295242644064452651<137>

393418688193833258671208168545795313297<39>

221918608353355735686641140957880715490828142319800161294912164421430022301863925285835175044217083<99>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3359694924
Step 1 took 3562ms
********** Factor found in step 2: 393418688193833258671208168545795313297
Found prime factor of 39 digits: 393418688193833258671208168545795313297
Composite cofactor 221918608353355735686641140957880715490828142319800161294912164421430022301863925285835175044217083 has 99 digits
 

GMP-ECM

221918608353355735686641140957880715490828142319800161294912164421430022301863925285835175044217083<99>

635750694826627996605233505733899229443662779<45>
349065459399732018694351889585857375516585734345558977<54>

10/16/22 17:17:48, nfs: commencing nfs on c99: 221918608353355735686641140957880715490828142319800161294912164421430022301863925285835175044217083
10/16/22 17:17:48, nfs: commencing poly selection with 46 threads
10/16/22 17:17:48, nfs: setting deadline of 24 seconds
10/16/22 17:17:48, nfs: expecting degree 4 poly E from 1.33e-08 to > 1.52e-08
10/16/22 17:17:48, nfs: searching for avg quality poly E > 1.37e-08
10/16/22 17:18:05, nfs: completed 212 ranges of size 250 in 16.9101 seconds
10/16/22 17:18:05, nfs: best poly = # norm 2.024601e-13 alpha -4.894478 e 1.523e-08 rroots 2
10/16/22 17:18:05, nfs: commencing lattice sieving with 46 threads
10/16/22 17:18:39, nfs: commencing lattice sieving with 46 threads
10/16/22 17:19:11, nfs: commencing lattice sieving with 46 threads
10/16/22 17:19:42, nfs: commencing lattice sieving with 46 threads
10/16/22 17:20:14, nfs: commencing lattice sieving with 46 threads
10/16/22 17:20:46, nfs: commencing lattice sieving with 46 threads
10/16/22 17:21:22, nfs: commencing lattice sieving with 46 threads
10/16/22 17:21:55, nfs: commencing lattice sieving with 46 threads
10/16/22 17:22:29, nfs: commencing lattice sieving with 46 threads
10/16/22 17:23:02, nfs: commencing lattice sieving with 46 threads
10/16/22 17:23:37, nfs: commencing lattice sieving with 46 threads
10/16/22 17:24:14, nfs: commencing lattice sieving with 46 threads
10/16/22 17:24:51, nfs: commencing msieve filtering
10/16/22 17:25:43, nfs: raising min_rels by 5.00 percent to 4762366
10/16/22 17:25:43, nfs: commencing lattice sieving with 46 threads
10/16/22 17:26:21, nfs: commencing msieve filtering
10/16/22 17:27:18, nfs: commencing msieve linear algebra
10/16/22 17:28:54, nfs: commencing msieve sqrt
10/16/22 17:29:08, prp54 = 349065459399732018694351889585857375516585734345558977
10/16/22 17:29:08, prp45 = 635750694826627996605233505733899229443662779
10/16/22 17:29:08, NFS elapsed time = 679.1822 seconds.
10/16/22 17:29:08, 
10/16/22 17:29:08, 

Yafu

115731336485601673120579772131204672430901854303282343449834033472338192931552407187289526242402253841375824014932666392635045947299961934223435496822609955483<159>

6268823411706950338792594306440134032216213035812223526965114049<64>
18461412754022522125170392460034708019578450788619772087768317368272942176566360526634977675867<95>

Number: n
N=115731336485601673120579772131204672430901854303282343449834033472338192931552407187289526242402253841375824014932666392635045947299961934223435496822609955483  ( 159 digits)
SNFS difficulty: 176 digits.
Divisors found:

Wed Oct 12 03:26:43 2022  p64 factor: 6268823411706950338792594306440134032216213035812223526965114049
Wed Oct 12 03:26:43 2022  p95 factor: 18461412754022522125170392460034708019578450788619772087768317368272942176566360526634977675867
Wed Oct 12 03:26:43 2022  elapsed time 00:16:44 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 55x10^175+8 = 61(174)2
#
n: 115731336485601673120579772131204672430901854303282343449834033472338192931552407187289526242402253841375824014932666392635045947299961934223435496822609955483
m: 100000000000000000000000000000000000
deg: 5
c5: 55
c0: 8
skew: 0.68
# Murphy_E = 1.405e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 30300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1513313 hash collisions in 13550152 relations (12839157 unique)
Msieve: matrix is 874546 x 874773 (300.8 MB)

Sieving start time : 2022/10/11 23:46:09
Sieving end time  : 2022/10/12 03:08:29

Total sieving time: 3hrs 22min 20secs.

Total relation processing time: 0hrs 11min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 51sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

9561289547972302519613437728243865620803622101505445417238088327716668988015170785697827557691263251410722032612163210490031494455881750459532095989135791147<157>

1736652210104869283848906230613618730297182902132665047<55>
5505586836753534877818241747429195433332200341528914080768727000913018462890725235358355844481635396301<103>

Number: n
N=9561289547972302519613437728243865620803622101505445417238088327716668988015170785697827557691263251410722032612163210490031494455881750459532095989135791147  ( 157 digits)
SNFS difficulty: 177 digits.
Divisors found:

Wed Oct 12 13:26:41 2022  p55 factor: 1736652210104869283848906230613618730297182902132665047
Wed Oct 12 13:26:41 2022  p103 factor: 5505586836753534877818241747429195433332200341528914080768727000913018462890725235358355844481635396301
Wed Oct 12 13:26:41 2022  elapsed time 00:15:44 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 55x10^176+8 = 61(175)2
#
n: 9561289547972302519613437728243865620803622101505445417238088327716668988015170785697827557691263251410722032612163210490031494455881750459532095989135791147
m: 100000000000000000000000000000000000
deg: 5
c5: 275
c0: 4
skew: 0.43
# Murphy_E = 1.54e-10
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 23150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1499136 hash collisions in 13501737 relations (12802801 unique)
Msieve: matrix is 830169 x 830394 (289.8 MB)

Sieving start time : 2022/10/12 10:24:32
Sieving end time  : 2022/10/12 13:09:54

Total sieving time: 2hrs 45min 22secs.

Total relation processing time: 0hrs 10min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 53sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6300000,6300000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

525630252302752094395501985289702105960722396665818285167537414261987459435739182881654479672913521684108182411071946865653885026305382733792152163720575293349827719<165>

785961556144484000582447824215050445401066991896393611859934725980417<69>
668773489229192051205346406623860940486339069297841458070324918681787999314930508283191399894407<96>

Number: n
N=525630252302752094395501985289702105960722396665818285167537414261987459435739182881654479672913521684108182411071946865653885026305382733792152163720575293349827719  ( 165 digits)
SNFS difficulty: 178 digits.
Divisors found:

Sat Oct  8 22:54:20 2022  p69 factor: 785961556144484000582447824215050445401066991896393611859934725980417
Sat Oct  8 22:54:20 2022  p96 factor: 668773489229192051205346406623860940486339069297841458070324918681787999314930508283191399894407
Sat Oct  8 22:54:20 2022  elapsed time 00:27:32 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 55x10^177+8 = 61(176)2
#
n: 525630252302752094395501985289702105960722396665818285167537414261987459435739182881654479672913521684108182411071946865653885026305382733792152163720575293349827719
m: 100000000000000000000000000000000000
deg: 5
c5: 1375
c0: 2
skew: 0.27
# Murphy_E = 1.096e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 16050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1486362 hash collisions in 11806152 relations (10961581 unique)
Msieve: matrix is 1091618 x 1091846 (380.6 MB)

Sieving start time : 2022/10/08 21:17:26
Sieving end time  : 2022/10/08 22:26:29

Total sieving time: 1hrs 9min 3secs.

Total relation processing time: 0hrs 19min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 27sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

25462962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<179>

2142191275569035159938864194732545029110432979453<49>
11886409609337605938020023957576084301295791613366540039208729032092563021571022225183740982441677070457134072820706366149748750671<131>

Number: n
N=25462962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963  ( 179 digits)
SNFS difficulty: 179 digits.
Divisors found:

Sat Oct  8 06:07:29 2022  p49 factor: 2142191275569035159938864194732545029110432979453
Sat Oct  8 06:07:29 2022  p131 factor: 11886409609337605938020023957576084301295791613366540039208729032092563021571022225183740982441677070457134072820706366149748750671
Sat Oct  8 06:07:29 2022  elapsed time 00:24:10 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 55x10^179+8 = 61(178)2
#
n: 25462962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963
m: 500000000000000000000000000000000000
deg: 5
c5: 22
c0: 1
skew: 0.54
# Murphy_E = 1.164e-10
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1420187 hash collisions in 11764991 relations (11000026 unique)
Msieve: matrix is 1071967 x 1072195 (372.6 MB)

Sieving start time : 2022/10/08 04:35:09
Sieving end time  : 2022/10/08 05:41:58

Total sieving time: 1hrs 6min 49secs.

Total relation processing time: 0hrs 18min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 19sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,7000000,7000000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

33581239317509926285692137249530039546730284756603984193401632796433756372121100148042546138908250131954684390964081822619465214273<131>

1018399806889073295934963829768756353155830056316022669598254641<64>
32974514616308917378087883166663393510103321125413158922846294286353<68>

33581239317509926285692137249530039546730284756603984193401632796433756372121100148042546138908250131954684390964081822619465214273=1018399806889073295934963829768756353155830056316022669598254641*32974514616308917378087883166663393510103321125413158922846294286353

cado polynomial
n: 33581239317509926285692137249530039546730284756603984193401632796433756372121100148042546138908250131954684390964081822619465214273
skew: 0.68
type: snfs
c0: 8
c5: 55
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 55*x^5+8
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7500000
tasks.lim1 = 7500000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1018399806889073295934963829768756353155830056316022669598254641 32974514616308917378087883166663393510103321125413158922846294286353
Info:Square Root: Total cpu/real time for sqrt: 264.33/86.2998
Info:Generate Free Relations: Total cpu/real time for freerel: 120.25/31.1695
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.65/94.8
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 94.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 115.1/64.6391
Info:Filtering - Merging: Merged matrix has 1107801 rows and total weight 188511819 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 266.08/73.5983
Info:Filtering - Merging: Total cpu/real time for replay: 39.17/33.1063
Info:Generate Factor Base: Total cpu/real time for makefb: 3.21/1.87861
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22408686
Info:Lattice Sieving: Average J: 1894.13 for 997900 special-q, max bucket fill -bkmult 1.0,1s:1.173900
Info:Lattice Sieving: Total time: 213651s
Info:Linear Algebra: Total cpu/real time for bwc: 19535.3/5021.46
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 12402.73, WCT time 3168.24, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34816 iterations)
Info:Linear Algebra: Lingen CPU time 221.36, WCT time 56.1
Info:Linear Algebra: Mksol: CPU time 6727.14,  WCT time 1716.86, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (17408 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 37.19/16.5159
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.79/178.587
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 163.2s
Info:Square Root: Total cpu/real time for sqrt: 264.33/86.2998
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 430516/45574.4
Info:root: Cleaning up computation data in /tmp/cado.vp03yfvb
1018399806889073295934963829768756353155830056316022669598254641 32974514616308917378087883166663393510103321125413158922846294286353

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

3470644656469281639658740976323893179867736887273461557877732343884093088999949517895905901357968600131253470644656469281639658740976323893179867736887273461557877732343884093089<178>

5436629474302716432382408253278090483699496304518156436570221306995365273601148480185343<88>
638381679839311597536966120098917461929344578092954555066972042838900062913064335432451423<90>

Number: n
N=3470644656469281639658740976323893179867736887273461557877732343884093088999949517895905901357968600131253470644656469281639658740976323893179867736887273461557877732343884093089  ( 178 digits)
SNFS difficulty: 182 digits.
Divisors found:

Sun Oct  9 15:45:11 2022  p88 factor: 5436629474302716432382408253278090483699496304518156436570221306995365273601148480185343
Sun Oct  9 15:45:11 2022  p90 factor: 638381679839311597536966120098917461929344578092954555066972042838900062913064335432451423
Sun Oct  9 15:45:11 2022  elapsed time 00:24:11 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 55x10^181+8 = 61(180)2
#
n: 3470644656469281639658740976323893179867736887273461557877732343884093088999949517895905901357968600131253470644656469281639658740976323893179867736887273461557877732343884093089
m: 1000000000000000000000000000000000000
deg: 5
c5: 275
c0: 4
skew: 0.43
# Murphy_E = 9.674e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 945614 hash collisions in 11586108 relations (11392620 unique)
Msieve: matrix is 1013245 x 1013470 (356.4 MB)

Sieving start time : 2022/10/09 13:36:00
Sieving end time  : 2022/10/09 15:20:44

Total sieving time: 1hrs 44min 44secs.

Total relation processing time: 0hrs 16min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 3sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7700000,7700000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

163554923334319234988146498082959381224632374974976537510756157019862258304660738239694861681210010980103222117219707174947634817444555196867853250777750682257673<162>

31227594264134960153226139103739227058667203573817081083677813<62>
5237512757175881419794348806129459479821555582840703888775703214232583799216721269763773190883297221<100>

Number: n
N=163554923334319234988146498082959381224632374974976537510756157019862258304660738239694861681210010980103222117219707174947634817444555196867853250777750682257673  ( 162 digits)
SNFS difficulty: 184 digits.
Divisors found:

Tue Oct 11 19:26:15 2022  p62 factor: 31227594264134960153226139103739227058667203573817081083677813
Tue Oct 11 19:26:15 2022  p100 factor: 5237512757175881419794348806129459479821555582840703888775703214232583799216721269763773190883297221
Tue Oct 11 19:26:15 2022  elapsed time 00:22:57 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.338).
Factorization parameters were as follows:
#
# N = 55x10^183+8 = 61(182)2
#
n: 163554923334319234988146498082959381224632374974976537510756157019862258304660738239694861681210010980103222117219707174947634817444555196867853250777750682257673
m: 5000000000000000000000000000000000000
deg: 5
c5: 11
c0: 5
skew: 0.85
# Murphy_E = 7.486e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1300005 hash collisions in 13510921 relations (13065682 unique)
Msieve: matrix is 1048205 x 1048431 (363.7 MB)

Sieving start time : 2022/10/11 14:31:49
Sieving end time  : 2022/10/11 19:02:41

Total sieving time: 4hrs 30min 52secs.

Total relation processing time: 0hrs 16min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 20sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8300000,8300000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

55372402786368775968529240700298359968448415099915023515382538978397646045842154584097104919495199157339048349422766773136396239134606573385832173051199820437<158>

2327381233878817607015609294980015310603277767101209320883874935239003113<73>
23791720058722409350860973218486784463903837354554609656447731432327089921773610918349<86>

Number: n
N=55372402786368775968529240700298359968448415099915023515382538978397646045842154584097104919495199157339048349422766773136396239134606573385832173051199820437  ( 158 digits)
SNFS difficulty: 184 digits.
Divisors found:

Wed Oct 12 06:06:36 2022  p73 factor: 2327381233878817607015609294980015310603277767101209320883874935239003113
Wed Oct 12 06:06:36 2022  p86 factor: 23791720058722409350860973218486784463903837354554609656447731432327089921773610918349
Wed Oct 12 06:06:36 2022  elapsed time 00:30:20 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 55x10^184+8 = 61(183)2
#
n: 55372402786368775968529240700298359968448415099915023515382538978397646045842154584097104919495199157339048349422766773136396239134606573385832173051199820437
m: 5000000000000000000000000000000000000
deg: 5
c5: 22
c0: 1
skew: 0.54
# Murphy_E = 7.292e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1148371 hash collisions in 12513895 relations (12158469 unique)
Msieve: matrix is 1191057 x 1191282 (415.5 MB)

Sieving start time : 2022/10/12 03:28:29
Sieving end time  : 2022/10/12 05:35:59

Total sieving time: 2hrs 7min 30secs.

Total relation processing time: 0hrs 23min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 54sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8400000,8400000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

109126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984127<186>

2883505546662062817642272873726544679<37>
10194559308054514707084025873472151285530371603848777433033498650497979403<74>
3712298630351777987606522691233002515251316229931186577272739799550185871771<76>

Number: n
N=109126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984127  ( 186 digits)
SNFS difficulty: 187 digits.
Divisors found:

Mon Oct 10 06:55:27 2022  found factor: 2883505546662062817642272873726544679
Mon Oct 10 06:56:51 2022  found factor: 2883505546662062817642272873726544679
Mon Oct 10 06:58:14 2022  p37 factor: 2883505546662062817642272873726544679
Mon Oct 10 06:58:14 2022  p74 factor: 10194559308054514707084025873472151285530371603848777433033498650497979403
Mon Oct 10 06:58:14 2022  p76 factor: 3712298630351777987606522691233002515251316229931186577272739799550185871771
Mon Oct 10 06:58:14 2022  elapsed time 00:30:16 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 55x10^186+8 = 61(185)2
#
n: 109126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984127
m: 10000000000000000000000000000000000000
deg: 5
c5: 275
c0: 4
skew: 0.43
# Murphy_E = 6.051e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 17450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1404289 hash collisions in 13783343 relations (13236573 unique)
Msieve: matrix is 1092705 x 1092932 (384.0 MB)

Sieving start time : 2022/10/10 03:09:08
Sieving end time  : 2022/10/10 06:23:55

Total sieving time: 3hrs 14min 47secs.

Total relation processing time: 0hrs 19min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 57sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9300000,9300000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

621517805242084575238911444335057310721837559202396030241474357757401034024822743121944957479141862456075641654982131928115476652175131513167589225096120553661621298126948740827527227<183>

155501427874326326376883621202846412114721568017<48>
3996862368005938517762073728203123156271618035205102079415862159856123481558964251749520088751697872984021787906769535993162806137301131<136>

Number: n
N=621517805242084575238911444335057310721837559202396030241474357757401034024822743121944957479141862456075641654982131928115476652175131513167589225096120553661621298126948740827527227  ( 183 digits)
SNFS difficulty: 189 digits.
Divisors found:

Tue Oct 18 19:03:52 2022  p48 factor: 155501427874326326376883621202846412114721568017
Tue Oct 18 19:03:52 2022  p136 factor: 3996862368005938517762073728203123156271618035205102079415862159856123481558964251749520088751697872984021787906769535993162806137301131
Tue Oct 18 19:03:52 2022  elapsed time 00:44:57 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 55x10^188+8 = 61(187)2
#
n: 621517805242084575238911444335057310721837559202396030241474357757401034024822743121944957479141862456075641654982131928115476652175131513167589225096120553661621298126948740827527227
m: 50000000000000000000000000000000000000
deg: 5
c5: 11
c0: 5
skew: 0.85
# Murphy_E = 4.671e-11
type: snfs
lss: 1
rlim: 10100000
alim: 10100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10100000/10100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 10650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1228094 hash collisions in 12276557 relations (11799912 unique)
Msieve: matrix is 1471122 x 1471348 (513.9 MB)

Sieving start time : 2022/10/18 15:21:05
Sieving end time  : 2022/10/18 18:17:47

Total sieving time: 2hrs 56min 42secs.

Total relation processing time: 0hrs 39min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 55sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10100000,10100000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

11269797611719777144514031938807993096800895661059835719393860933949273740294627457554627529883109752102135354429222520089999188003960813678423884223575638631581620484859<170>

152082653261647719754393104635582911717<39>
74103110183979150719887438145542633638743876852536656929625073357807789713883107648397739231493026643942047390886677636561448530527<131>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2755133786
Step 1 took 7297ms
Step 2 took 3828ms
********** Factor found in step 2: 152082653261647719754393104635582911717
Found prime factor of 39 digits: 152082653261647719754393104635582911717
Prime cofactor 74103110183979150719887438145542633638743876852536656929625073357807789713883107648397739231493026643942047390886677636561448530527 has 131 digits

GMP-ECM

13338331413407659576337354400143308713101402505611665187114690573653558577818027893153837720100229503292374292620938951346961502688305744749623421<146>

42607838471282179176557623611348099824447<41>
313048769709304499308225555526375273627263505894968884098580047016894292107119087274728745179309896632643<105>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:102110487
Step 1 took 5969ms
Step 2 took 3390ms
********** Factor found in step 2: 42607838471282179176557623611348099824447
Found prime factor of 41 digits: 42607838471282179176557623611348099824447
Prime cofactor 313048769709304499308225555526375273627263505894968884098580047016894292107119087274728745179309896632643 has 105 digits

GMP-ECM

4022722631349188944024161538497649270265181292961576457511801849677278001861126269890757483578579983886821866882989653853804214753334483075382027114592496053<157>

18052977171976495625982728868038804920033352280997085513<56>
222828766304187868314952648683733492923570179094989737229111554615476791049907737487311364054473101581<102>

Number: n
N=4022722631349188944024161538497649270265181292961576457511801849677278001861126269890757483578579983886821866882989653853804214753334483075382027114592496053  ( 157 digits)
SNFS difficulty: 194 digits.
Divisors found:

Tue Nov  1 22:53:07 2022  p56 factor: 18052977171976495625982728868038804920033352280997085513
Tue Nov  1 22:53:07 2022  p102 factor: 222828766304187868314952648683733492923570179094989737229111554615476791049907737487311364054473101581
Tue Nov  1 22:53:07 2022  elapsed time 00:38:13 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 55x10^193+8 = 61(192)2
#
n: 4022722631349188944024161538497649270265181292961576457511801849677278001861126269890757483578579983886821866882989653853804214753334483075382027114592496053
m: 500000000000000000000000000000000000000
deg: 5
c5: 11
c0: 5
skew: 0.85
# Murphy_E = 2.903e-11
type: snfs
lss: 1
rlim: 12200000
alim: 12200000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 26100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3680075 hash collisions in 24644580 relations (21754700 unique)
Msieve: matrix is 1264632 x 1264858 (422.1 MB)

Sieving start time : 2022/11/01 13:08:39
Sieving end time  : 2022/11/01 22:14:24

Total sieving time: 9hrs 5min 45secs.

Total relation processing time: 0hrs 27min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 12sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12200000,12200000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

631023064456135443729774183306804743254055265361637007043262199133382189896210124613904525853138250380034533179515110756029632377095179704918877482221253589243713351699288903799346187773<186>

1404898378815818160973006873942411615186093540438794556261885939<64>
449159223166035424309098872998307549069320194112881836658255233791144748341428007835440782189545306898947624549544153865807<123>

Number: n
N=631023064456135443729774183306804743254055265361637007043262199133382189896210124613904525853138250380034533179515110756029632377095179704918877482221253589243713351699288903799346187773  ( 186 digits)
SNFS difficulty: 197 digits.
Divisors found:

Wed Oct 26 12:54:11 2022  p64 factor: 1404898378815818160973006873942411615186093540438794556261885939
Wed Oct 26 12:54:11 2022  p123 factor: 449159223166035424309098872998307549069320194112881836658255233791144748341428007835440782189545306898947624549544153865807
Wed Oct 26 12:54:11 2022  elapsed time 01:08:11 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 55x10^196+8 = 61(195)2
#
n: 631023064456135443729774183306804743254055265361637007043262199133382189896210124613904525853138250380034533179515110756029632377095179704918877482221253589243713351699288903799346187773
m: 1000000000000000000000000000000000000000
deg: 5
c5: 275
c0: 4
skew: 0.43
# Murphy_E = 2.337e-11
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 19650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1669559 hash collisions in 13772158 relations (12884003 unique)
Msieve: matrix is 1722609 x 1722834 (607.0 MB)

Sieving start time : 2022/10/26 06:12:39
Sieving end time  : 2022/10/26 11:45:39

Total sieving time: 5hrs 33min 0secs.

Total relation processing time: 0hrs 56min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 56sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13700000,13700000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

7082927060363121847325969383071512970631376130024974675101565465366198129129362876643895676697811334780892269189201741063212726805768802596841963262618244351<157>

155578313861229338173556564719476327852789361619164001<54>
45526441857962648409716943078533489492338645171932554118704471216601310552231709291143783908858771680351<104>

Number: n
N=7082927060363121847325969383071512970631376130024974675101565465366198129129362876643895676697811334780892269189201741063212726805768802596841963262618244351  ( 157 digits)
SNFS difficulty: 199 digits.
Divisors found:

Tue Nov  1 12:53:55 2022  p54 factor: 155578313861229338173556564719476327852789361619164001
Tue Nov  1 12:53:55 2022  p104 factor: 45526441857962648409716943078533489492338645171932554118704471216601310552231709291143783908858771680351
Tue Nov  1 12:53:55 2022  elapsed time 01:24:50 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 55x10^198+8 = 61(197)2
#
n: 7082927060363121847325969383071512970631376130024974675101565465366198129129362876643895676697811334780892269189201741063212726805768802596841963262618244351
m: 5000000000000000000000000000000000000000
deg: 5
c5: 11
c0: 5
skew: 0.85
# Murphy_E = 1.796e-11
type: snfs
lss: 1
rlim: 14800000
alim: 14800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 14800000/14800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 27400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1839554 hash collisions in 13830637 relations (12727996 unique)
Msieve: matrix is 1995503 x 1995730 (694.3 MB)

Sieving start time : 2022/11/01 04:22:23
Sieving end time  : 2022/11/01 11:28:30

Total sieving time: 7hrs 6min 7secs.

Total relation processing time: 1hrs 15min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 46sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14800000,14800000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2609827331351863519366655727089531324279199946545570443016285030670697515050718071073139788856298470423414233075544543998463370419<130>

10098957961602055664468870121589621547453<41>
258425407975245361916254097445779020453025221385302069974445604281695510905207950194143023<90>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1095902502
Step 1 took 17734ms
********** Factor found in step 1: 10098957961602055664468870121589621547453
Found prime factor of 41 digits: 10098957961602055664468870121589621547453
Prime cofactor 258425407975245361916254097445779020453025221385302069974445604281695510905207950194143023 has 90 digits
 

GMP-ECM

31474067626839833281614424158332475023900254307596139600395871400180081485582995387792670407710237215268800229906676208377866521984629058671319501474352416215186524530092784450198642819143<188>

691083864779624494845450599254021141650438874113812101942353010531023658354476631061327869<90>
45543050895677337408287879692879034152475113335726524561367238621935160657694340414136306298329747<98>

Number: n
N=31474067626839833281614424158332475023900254307596139600395871400180081485582995387792670407710237215268800229906676208377866521984629058671319501474352416215186524530092784450198642819143  ( 188 digits)
SNFS difficulty: 202 digits.
Divisors found:

Fri Jun 30 16:13:43 2023  prp90 factor: 691083864779624494845450599254021141650438874113812101942353010531023658354476631061327869
Fri Jun 30 16:13:43 2023  prp98 factor: 45543050895677337408287879692879034152475113335726524561367238621935160657694340414136306298329747
Fri Jun 30 16:13:43 2023  elapsed time 02:17:53 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 55x10^201+8 = 61(200)2
#
n: 31474067626839833281614424158332475023900254307596139600395871400180081485582995387792670407710237215268800229906676208377866521984629058671319501474352416215186524530092784450198642819143
m: 10000000000000000000000000000000000000000
deg: 5
c5: 275
c0: 4
skew: 0.43
# Murphy_E = 1.444e-11
type: snfs
lss: 1
rlim: 16600000
alim: 16600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16600000/16600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 33900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2292771 hash collisions in 15725564 relations (14231452 unique)
Msieve: matrix is 2092879 x 2093104 (596.4 MB)

Sieving start time: 2023/06/29 23:58:42
Sieving end time  : 2023/06/30 13:55:19

Total sieving time: 13hrs 56min 37secs.

Total relation processing time: 2hrs 11min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 33sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16600000,16600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

79887730776180855182307595478598021800711004203323107231875966883154588191575334721936994600614864840262495943750234463769364131880605922490662760019496640153252232113067<170>

5533589885734743912705975012173304378040335577<46>
14436872342514311775769041294018995960271907526442716768404761200906212471101230456836019190482999542264517284203479003982371<125>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 79887730776180855182307595478598021800711004203323107231875966883154588191575334721936994600614864840262495943750234463769364131880605922490662760019496640153252232113067 (170 digits)
Using B1=40270000, B2=192393771586, polynomial Dickson(12), sigma=1:833165420
Step 1 took 93586ms
Step 2 took 30249ms
********** Factor found in step 2: 5533589885734743912705975012173304378040335577
Found prime factor of 46 digits: 5533589885734743912705975012173304378040335577
Prime cofactor 14436872342514311775769041294018995960271907526442716768404761200906212471101230456836019190482999542264517284203479003982371 has 125 digits

120437081914611213385126637390596610966682933130660437040944139489789632976866417633111529678498496867927472492814380928161461192261774799635690493981254818736705581996415519<174>

265224837360831817617611036109433<33>
454094281338966563225089284872346847917525101943739636112441767438172763853114073235255380544860264286467687187188062965068278827904855360343<141>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4062572039
Step 1 took 6110ms
Step 2 took 3187ms
********** Factor found in step 2: 265224837360831817617611036109433
Found prime factor of 33 digits: 265224837360831817617611036109433
Prime cofactor 454094281338966563225089284872346847917525101943739636112441767438172763853114073235255380544860264286467687187188062965068278827904855360343 has 141 digits

GMP-ECM

5209907670249434014334592016278549555849236828192855952626574026234836056883488500615044211413204340207569230445775938334006711682221001974506517443256801384261942171<166>

18849038227775474059434964330300130555419608753121446125068192771<65>
276401777496118800030307615314407233916015067070784415537814862541082172031832396772532720944416971401<102>

Number: n
N=5209907670249434014334592016278549555849236828192855952626574026234836056883488500615044211413204340207569230445775938334006711682221001974506517443256801384261942171  ( 166 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sun Jul  7 15:24:01 2024  prp65 factor: 18849038227775474059434964330300130555419608753121446125068192771
Sun Jul  7 15:24:01 2024  prp102 factor: 276401777496118800030307615314407233916015067070784415537814862541082172031832396772532720944416971401
Sun Jul  7 15:24:01 2024  elapsed time 02:49:46 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.059).
Factorization parameters were as follows:
#
# N = 55x10^206+8 = 61(205)2
#
n: 5209907670249434014334592016278549555849236828192855952626574026234836056883488500615044211413204340207569230445775938334006711682221001974506517443256801384261942171
m: 100000000000000000000000000000000000000000
deg: 5
c5: 275
c0: 4
skew: 0.43
# Murphy_E = 8.881e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5389242 hash collisions in 21666442 relations (15818824 unique)
Msieve: matrix is 2317260 x 2317485 (659.6 MB)

Sieving start time: 2024/07/06 20:50:14
Sieving end time  : 2024/07/07 12:28:41

Total sieving time: 15hrs 38min 27secs.

Total relation processing time: 2hrs 41min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 3sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

41735563667710754245955799082305281820398051841619821883403986433032372585463173807411511607679591798681318439853327093241442607891632837858854676896702364314997867764183951<173>

3865710237742692144417525439893394309617948595794979447445422238361553<70>
10796350761168649213285478839087145347994246338211117182867346215183162454865231239882200702259466198367<104>

11/07/24 15:07:34 v1.34.5 @ RYZEN-9,
11/07/24 15:07:34 v1.34.5 @ RYZEN-9, ****************************
11/07/24 15:07:34 v1.34.5 @ RYZEN-9, Starting factorization of 550000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000008
11/07/24 15:07:34 v1.34.5 @ RYZEN-9, using pretesting plan: normal
11/07/24 15:07:34 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
11/07/24 15:07:34 v1.34.5 @ RYZEN-9, ****************************
11/07/24 15:07:34 v1.34.5 @ RYZEN-9, div: found prime factor = 2
11/07/24 15:07:34 v1.34.5 @ RYZEN-9, div: found prime factor = 2
11/07/24 15:07:34 v1.34.5 @ RYZEN-9, div: found prime factor = 2
11/07/24 15:07:34 v1.34.5 @ RYZEN-9, div: found prime factor = 3
11/07/24 15:07:34 v1.34.5 @ RYZEN-9, div: found prime factor = 3
11/07/24 15:07:34 v1.34.5 @ RYZEN-9, div: found prime factor = 67
11/07/24 15:07:34 v1.34.5 @ RYZEN-9, div: found prime factor = 8741
11/07/24 15:07:34 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C203
11/07/24 15:07:34 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C203
11/07/24 15:07:35 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C203
11/07/24 15:07:35 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C203
11/07/24 15:07:35 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
11/07/24 15:07:35 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 62.46
11/07/24 15:07:35 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C203 input, B1=2K, B2=gmp-ecm default
11/07/24 15:07:35 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
11/07/24 15:07:35 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 62.46
11/07/24 15:07:37 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C203 input, B1=11K, B2=gmp-ecm default
11/07/24 15:07:37 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
11/07/24 15:07:37 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 62.46
11/07/24 15:08:09 v1.34.5 @ RYZEN-9, Finished 214 curves using Lenstra ECM method on C203 input, B1=50K, B2=gmp-ecm default
11/07/24 15:08:09 v1.34.5 @ RYZEN-9, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C203
11/07/24 15:08:10 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 25.33
11/07/24 15:08:10 v1.34.5 @ RYZEN-9, scheduled 430 curves at B1=250000 toward target pretesting depth of 62.46
11/07/24 15:10:39 v1.34.5 @ RYZEN-9, prp30 = 312527319294719149159312239737 (curve 223 stg2 B1=250000 sigma=2066495875 thread=0)
11/07/24 15:10:39 v1.34.5 @ RYZEN-9, Finished 223 curves using Lenstra ECM method on C203 input, B1=250K, B2=gmp-ecm default
11/07/24 15:10:39 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 27.93
11/07/24 15:10:39 v1.34.5 @ RYZEN-9, scheduled 207 curves at B1=250000 toward target pretesting depth of 53.23
11/07/24 15:11:59 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c210: 550000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000008
11/07/24 15:11:59 v1.34.5 @ RYZEN-9, nfs: input divides 55*10^208 + 8
11/07/24 15:11:59 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 41735563667710754245955799082305281820398051841619821883403986433032372585463173807411511607679591798681318439853327093241442607891632837858854676896702364314997867764183951
11/07/24 15:11:59 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c173: 41735563667710754245955799082305281820398051841619821883403986433032372585463173807411511607679591798681318439853327093241442607891632837858854676896702364314997867764183951
11/07/24 15:11:59 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 41735563667710754245955799082305281820398051841619821883403986433032372585463173807411511607679591798681318439853327093241442607891632837858854676896702364314997867764183951
# 55*10^208+8, difficulty: 211.14, anorm: 2.10e+037, rnorm: 5.66e+040
# scaled difficulty: 211.14, suggest sieving algebraic side
# size = 3.036e-010, alpha = -0.842, combined = 7.325e-012, rroots = 0
type: snfs
size: 211
skew: 0.7812
c6: 22
c0: 5
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
n: 41735563667710754245955799082305281820398051841619821883403986433032372585463173807411511607679591798681318439853327093241442607891632837858854676896702364314997867764183951
# 55*10^208+8, difficulty: 211.14, anorm: 1.48e+031, rnorm: 5.41e+047
# scaled difficulty: 213.90, suggest sieving rational side
# size = 1.903e-014, alpha = 1.047, combined = 6.796e-012, rroots = 1
type: snfs
size: 211
skew: 0.8541
c5: 11
c0: 5
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
n: 41735563667710754245955799082305281820398051841619821883403986433032372585463173807411511607679591798681318439853327093241442607891632837858854676896702364314997867764183951
# 55*10^208+8, difficulty: 212.74, anorm: 1.66e+032, rnorm: 2.42e+047
# scaled difficulty: 215.27, suggest sieving rational side
# size = 1.455e-014, alpha = 0.243, combined = 5.982e-012, rroots = 1
type: snfs
size: 212
skew: 0.1708
c5: 6875
c0: 1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
11/07/24 15:12:02 v1.34.5 @ RYZEN-9, test: fb generation took 2.6105 seconds
11/07/24 15:12:02 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the algebraic side over range 22600000-22602000
skew: 0.7812
c6: 22
c0: 5
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
11/07/24 15:14:49 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
11/07/24 15:14:51 v1.34.5 @ RYZEN-9, test: fb generation took 1.7969 seconds
11/07/24 15:14:51 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 22600000-22602000
skew: 0.8541
c5: 11
c0: 5
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
11/07/24 15:18:13 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
11/07/24 15:18:15 v1.34.5 @ RYZEN-9, test: fb generation took 1.9856 seconds
11/07/24 15:18:15 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the rational side over range 23800000-23802000
skew: 0.1708
c5: 6875
c0: 1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 23800000
alim: 23800000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
11/07/24 15:21:50 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
11/07/24 15:21:50 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 41735563667710754245955799082305281820398051841619821883403986433032372585463173807411511607679591798681318439853327093241442607891632837858854676896702364314997867764183951
# 55*10^208+8, difficulty: 211.14, anorm: 2.10e+037, rnorm: 5.66e+040
# scaled difficulty: 211.14, suggest sieving algebraic side
# size = 3.036e-010, alpha = -0.842, combined = 7.325e-012, rroots = 0
type: snfs
size: 211
skew: 0.7812
c6: 22
c0: 5
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
11/08/24 18:55:59 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/08/24 19:02:38 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
11/08/24 22:19:16 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
11/08/24 22:23:42 v1.34.5 @ RYZEN-9, prp70 = 3865710237742692144417525439893394309617948595794979447445422238361553
11/08/24 22:23:42 v1.34.5 @ RYZEN-9, prp104 = 10796350761168649213285478839087145347994246338211117182867346215183162454865231239882200702259466198367
11/08/24 22:23:42 v1.34.5 @ RYZEN-9, NFS elapsed time = 112302.9563 seconds.
11/08/24 22:23:42 v1.34.5 @ RYZEN-9,
11/08/24 22:23:42 v1.34.5 @ RYZEN-9,
11/07/24 15:21:50 v1.34.5 @ RYZEN-9, test: test sieving took 590.26 seconds

YAFU

21255986852330064725187483703979153778426942144113275559815286693188278203949729902534957321166623917643394029<110>

643693284055780370117036971626937401759687562913<48>
33021918014120666072360920335671424221441534973510711982288333<62>

21255986852330064725187483703979153778426942144113275559815286693188278203949729902534957321166623917643394029=643693284055780370117036971626937401759687562913*33021918014120666072360920335671424221441534973510711982288333

cado polynomial
n: 21255986852330064725187483703979153778426942144113275559815286693188278203949729902534957321166623917643394029
skew: 33174.655
c0: -47655230620844268017923880
c1: 10508943948611769203924
c2: 411223810717157306
c3: -15355072629089
c4: -154171866
c5: 2880
Y0: -1863607331093295492221
Y1: 508347517045873
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.852e-06
# f(x) = 2880*x^5-154171866*x^4-15355072629089*x^3+411223810717157306*x^2+10508943948611769203924*x-47655230620844268017923880
# g(x) = 508347517045873*x-1863607331093295492221

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 33021918014120666072360920335671424221441534973510711982288333 643693284055780370117036971626937401759687562913
Info:Square Root: Total cpu/real time for sqrt: 143.96/42.095
Info:Filtering - Singleton removal: Total cpu/real time for purge: 63.6/70.1753
Info:Filtering - Merging: Merged matrix has 283847 rows and total weight 44051539 (155.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 42.82/12.759
Info:Filtering - Merging: Total cpu/real time for replay: 9.47/7.70765
Info:Generate Factor Base: Total cpu/real time for makefb: 2.37/0.660813
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5112288
Info:Lattice Sieving: Average J: 1917.73 for 75694 special-q, max bucket fill -bkmult 1.0,1s:1.305090
Info:Lattice Sieving: Total time: 7549.71s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 254.2
Info:Polynomial Selection (root optimized): Rootsieve time: 253.26
Info:Linear Algebra: Total cpu/real time for bwc: 1005.74/265.65
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 604.06, WCT time 157.69, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8960 iterations)
Info:Linear Algebra: Lingen CPU time 44.5, WCT time 11.33
Info:Linear Algebra: Mksol: CPU time 334.75,  WCT time 87.44, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4480 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11583/31.980/38.825/44.370/1.076
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8985/30.380/34.388/39.300/0.855
Info:Polynomial Selection (size optimized): Total time: 699.79
Info:Generate Free Relations: Total cpu/real time for freerel: 63.32/16.5769
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 82.55/90.6029
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 64.39999999999999s
Info:Square Root: Total cpu/real time for sqrt: 143.96/42.095
Info:Quadratic Characters: Total cpu/real time for characters: 10.61/4.13016
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.49/20.5357
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.8s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 15841/4515.35
Info:root: Cleaning up computation data in /tmp/cado.y8ii6mr0
33021918014120666072360920335671424221441534973510711982288333 643693284055780370117036971626937401759687562913

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

162925583545027438317917176564050191074987730664804784417543360462771324585160417017422801382997982551216157321524325074555827493428959652603483215909003284399707207212536274869086379860434334040846671<201>

18492791120876955822743312517382474761149293294322554215545225755972192394359548033583111211358362566261958442602071087194740547963774607112328643673185855420562995140110846413709313091298170030578913<200>

1265942044292673385842779239273524229039402211658831176941696494612385894987450178968340806263379526554062727869901808508094057919134513695434270164088372497612627096063442502952132262036785963741297<199>

645166432116885683122679159738175444323423613684137353474425534352617624391127027806644484091627020229644509545691522824134487401624950448588698319525479845676137842224224450286907453<183>

147510937115682530883177092511040696387044813825732328906530056192850373267633087390461998259304396274527030767720069971068699174512919266097402746323274759313642115756293532543451162847362738473<195>

7616971048373429691551631295373064922157259752578603010429980744542852858195337355914598497928599368760949970869702520764447576259509417057581313914003645209728660158921716223292543784059<187>

30836684699006595173335980656944969583<38>
247010050617367782992230944396996160503865904257528854574889950944594008107633411057308788785155287629520221268505777614495345576840403120176267611573<150>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:7187484949598217592
Step 1 took 16406ms
Step 2 took 6719ms
********** Factor found in step 2: 30836684699006595173335980656944969583
Found prime factor of 38 digits: 30836684699006595173335980656944969583
Prime cofactor 247010050617367782992230944396996160503865904257528854574889950944594008107633411057308788785155287629520221268505777614495345576840403120176267611573 has 150 digits

GMP-ECM 7.0.5

2615339426416082379867122421231102541623374239866812232464804407285549708721754510135722269197522450729848793551911267418250928020384841851794371446421819844928517713983049001809773037649106349549970841533183261162709<217>

763888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<225>

62210494978368845346066803665487608121840272405053211464104770617462915758393439982481524614091333150547588087798689552889779290737015651708096594122442922436407300933202668671880584805799194475889021906238151728456392479<221>

1386996155741539549773711137393242329624458182227288932847264445960229464646354143835493569841191089421035390729920463307063785222320842838329918014465608671810275236304818251219<178>

36836079210919855226236731839479676754037<41>

37653197230892371607438302880222467739638271564052579708632121931647226522091051849585768214503856415211901339773847204199968660152450087<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:11044419464107257471
Step 1 took 20125ms
Step 2 took 8453ms
********** Factor found in step 2: 36836079210919855226236731839479676754037
Found prime factor of 41 digits: 36836079210919855226236731839479676754037
Composite cofactor 37653197230892371607438302880222467739638271564052579708632121931647226522091051849585768214503856415211901339773847204199968660152450087 has 137 digits

GMP-ECM 7.0.5

37653197230892371607438302880222467739638271564052579708632121931647226522091051849585768214503856415211901339773847204199968660152450087<137>

627246095996415515755435369271098576376335927<45>
60029384752213022926958988582216554826227881316279462539697312559423029077071429557954120081<92>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 37653197230892371607438302880222467739638271564052579708632121931647226522091051849585768214503856415211901339773847204199968660152450087 (137 digits)
Using B1=60540000, B2=388129104100, polynomial Dickson(30), sigma=1:3102668897
Step 1 took 113729ms
Step 2 took 49029ms
********** Factor found in step 2: 627246095996415515755435369271098576376335927
Found prime factor of 45 digits: 627246095996415515755435369271098576376335927
Prime cofactor 60029384752213022926958988582216554826227881316279462539697312559423029077071429557954120081 has 92 digits

4428277255988280561280561282119978288954923128265256130068108305849720399376367439493005987974230228691741151880206152911072255142129185588456717705732014460345083133686149467767582142559<187>

371818852099589477754417629351075742802192325887743694534804299522746725009246313852959387584472043029565328375256481987907660723770524268690741725806182645048932510261424109765745900586567229332476547<201>

2030559057459819633767206898511506854417<40>
183111567591994042557772195398964281216993501959700946452813305289331770577764616450847681787534553964747008457703158052788988855879907799522008816102541620823891<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:1720894171892015133
Step 1 took 22406ms
Step 2 took 7797ms
********** Factor found in step 2: 2030559057459819633767206898511506854417
Found prime factor of 40 digits: 2030559057459819633767206898511506854417
Prime cofactor 183111567591994042557772195398964281216993501959700946452813305289331770577764616450847681787534553964747008457703158052788988855879907799522008816102541620823891 has 162 digits

GMP-ECM 7.0.5

10858205731648013453751229741154589735923698480182866398899364885778782892269068075343154837066108073182569318390546996130688258623350085767979964675690269957895431767272088630755776920808697051637835958807994861344266401457953<227>

54012437134620098013408802855166310081805966363909<50>

201031582866463182627313081988049733361462695961832977806853778414987071564499957176920369360894045284558037657701342448009391895630501385377898869785168213631556813293834513517<177>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:7090410547498274930
Step 1 took 28906ms
Step 2 took 10094ms
********** Factor found in step 2: 54012437134620098013408802855166310081805966363909
Found prime factor of 50 digits: 54012437134620098013408802855166310081805966363909
Composite cofactor 201031582866463182627313081988049733361462695961832977806853778414987071564499957176920369360894045284558037657701342448009391895630501385377898869785168213631556813293834513517 has 177 digits

GMP-ECM 7.0.5

2612896254673198094548397112431150990447664968209668415623302362746333584692459778900586193210357437154521241137793647705010198851756969724195208096101642352759787555298214284063408366701126418610239<199>

38911101315705169703016659485072545466173529471675843221027431317270273835072641869831691193338987545780783817782600390011197416447233864536126832092447768715239597338129782548373<179>

26704654931868263461676334143703281577118843615231912076307791579148712745341672155892157740623107387013075585280630099409803112957265295903313785629898607713974152234130454376159091592828495665864467<200>

880658627779130535992215533272469901266608185018259480680102918552058628285152591899607937275561483218359128182535374194583932288971597697475111111670943793503674562948648498220278881409802277009484544013107<207>

16689327739313428973498318565402380298679491838493916224187071949087718863843973356307558456949666686815236882855970009217363989261540336345180449866594617321604437928930895016481773190700876511355175839970830696419550521811555520599<233>

572159872234062352977539158066140477822002698252694573186449383033851249203972694992931253979356307027751826894612729645696128511724529910265683023395828562716333179560894420518882392223678387822290093116227065917145722811967584173<231>

1899582306502161440603039891779333400871403617203333439027951922709740314033052192678349657311055112293042166154139824440552414740715613207020301517556907200500394026860139236567281955179503<190>

69823733774445635746305597103359829087511502207841975293110775999684273746788108342533454806709015664435826641531231490151176951894881254452287502459892959224373063626879414374593614975814219368297148560497841941388939<218>

821064366119859185109329492283393140732408815435626215816302145230128086769972684293154747703296479429234773357142964518606928282240698889819562868406905059013380262449070885016705253227902259507221389319706241223<213>

1402617638276257835685808332440141671<37>
585380037804817169147629128126771474454833946391321099955174769200641649107163565865677775891081124552502072981299027746492383788521445254645346297549769363627691272269849284513<177>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:208078951
Step 1 took 9563ms
Step 2 took 4359ms
********** Factor found in step 2: 1402617638276257835685808332440141671
Found prime factor of 37 digits: 1402617638276257835685808332440141671
Prime cofactor 585380037804817169147629128126771474454833946391321099955174769200641649107163565865677775891081124552502072981299027746492383788521445254645346297549769363627691272269849284513 has 177 digits
 

GMP-ECM

293287620640490599654713491972912833348415824164741962182292533554714956799779768820663357143670837131261467128819545425647160933917631571450992522207377971251263465634257277612958932071686999731538073358915857614507<216>

2342414651091039034628454340239965532290588069947185353845058103922792865438332747341754897754965377060825117702532391411794219818112103949123926756332593148558768694659492113184988429298144744899939<199>

109126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984127<246>

889617593471364203986233754628004287779059137664420381061926932060370373361564343603314744377437146262177672000624392329851137699898506038888410225778529920433494132947601608129595830332833777<192>

6830133577444033678152470149397822989248481767360194798690670302423019091829016867145812657546422767358761987313072190799240869260654668950142661244409604017114086484022312681507013024432159949216973222404505405548252951103414297<229>

1157245197649486278296660450201956919004174077027332025378812450203879872965627426969920296753229996321915101950743843307150744013052338451633243576293785057425705713918415103<175>

14072524444825006694982828357822149317<38>

82234371109943148702997191301096466944067879861176128244975497359964721404149414173068674765802145268433767072882857776071108206973526259<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2464518966
Step 1 took 5078ms
********** Factor found in step 2: 14072524444825006694982828357822149317
Found prime factor of 38 digits: 14072524444825006694982828357822149317
Composite cofactor 82234371109943148702997191301096466944067879861176128244975497359964721404149414173068674765802145268433767072882857776071108206973526259 has 137 digits
 

GMP-ECM

82234371109943148702997191301096466944067879861176128244975497359964721404149414173068674765802145268433767072882857776071108206973526259<137>

2513405893528450779270245652691250536727594754499307<52>
32718301218948059865731149869890373858447881030888565107868882366512837390538075891737<86>

82234371109943148702997191301096466944067879861176128244975497359964721404149414173068674765802145268433767072882857776071108206973526259=2513405893528450779270245652691250536727594754499307*32718301218948059865731149869890373858447881030888565107868882366512837390538075891737

cado polynomial
n: 82234371109943148702997191301096466944067879861176128244975497359964721404149414173068674765802145268433767072882857776071108206973526259
skew: 185617.847
c0: 2247183912939232487367185731960
c1: -156013004657703918535218154
c2: 721795025180461655665
c3: -23489663964603303
c4: -37247592970
c5: 115440
Y0: -269633979994802918722140951
Y1: 280812443585123219
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 9.890e-08
# f(x) = 115440*x^5-37247592970*x^4-23489663964603303*x^3+721795025180461655665*x^2-156013004657703918535218154*x+2247183912939232487367185731960
# g(x) = 280812443585123219*x-269633979994802918722140951

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: 2513405893528450779270245652691250536727594754499307 32718301218948059865731149869890373858447881030888565107868882366512837390538075891737
Info:Square Root: Total cpu/real time for sqrt: 1065.58/286.38
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17585249
Info:Lattice Sieving: Average J: 3778.7 for 904443 special-q, max bucket fill -bkmult 1.0,1s:1.344930
Info:Lattice Sieving: Total time: 295301s
Info:Quadratic Characters: Total cpu/real time for characters: 52.44/23.6348
Info:Generate Factor Base: Total cpu/real time for makefb: 15.18/4.14413
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 81.54/81.6469
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 81.2s
Info:Square Root: Total cpu/real time for sqrt: 1065.58/286.38
Info:Filtering - Singleton removal: Total cpu/real time for purge: 181.66/178.064
Info:Filtering - Merging: Merged matrix has 1556338 rows and total weight 265117750 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 429.87/117.708
Info:Filtering - Merging: Total cpu/real time for replay: 57.58/50.6647
Info:Generate Free Relations: Total cpu/real time for freerel: 245.87/62.3795
Info:Linear Algebra: Total cpu/real time for bwc: 38851.7/10005.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 24816.82, WCT time 6345.98, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (48896 iterations)
Info:Linear Algebra: Lingen CPU time 305.04, WCT time 77.51
Info:Linear Algebra: Mksol: CPU time 13449.89,  WCT time 3475.58, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (24320 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7806.64
Info:Polynomial Selection (root optimized): Rootsieve time: 7804.08
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): 54405/40.380/49.219/54.660/0.951
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44195/40.120/44.167/50.200/1.242
Info:Polynomial Selection (size optimized): Total time: 11152.5
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 291.97/288.706
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 248.79999999999998s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 615059/164092
Info:root: Cleaning up computation data in /tmp/cado.xw5de67u
2513405893528450779270245652691250536727594754499307 32718301218948059865731149869890373858447881030888565107868882366512837390538075891737

cado-nfs-3.0.0

        
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz (4 processeurs)

1330582599714344646458796960312427292662704816881616843877223322888905809937740132611012419445333874606084036177301386619774635799342563293579248635096642441097185798556218297315805171863057326386000550130647905457822315366247<226>

20223498406211948993364586902447265901227613980877695131925533949459593875065138517863776281477720461079752122716103087462852739301106405687008183089642120193884711322732312130856556567880613762513761893274326687901228094987062212734513<236>

295483724128457323525082116569122200727006440145970568362426891685047775481001846549973343733393948096378968655735506415158909987843586945309681485936620491750158078191711039964914380722410930757038026509605226973339535340124731107<231>

13749981109047101426897338104009325164767184634590174135787981073584331602943869070424151028333795290215405793146560742144160261317271556913802581143371769548635439044382249044015994824524154105623069416989876828888329658170700148602137073991951<245>

14899692676686987500789516588445756781975125138750025491867260958620641000274977248233477747511015538551891005272723183449137487284817459852861519817484980180032000187<167>

1971589935850108884635252705193123082258172896657455250068465456089022877918118061044154877220678121088284817583524298411483280646519641575461327559991674121784022698568377524485883800505761389127914384187137544024087284493<223>

1837141484985486535196316857759449660220331225967563441289165207871500570397731128485555471298308952192705796803294069708009950060379196394049127992960935289256404932806088652409752458015374822624158047629347574966846839491208689<229>

21560510552889892432652805218427572364913601154075328503778969485997428419104964405557123592686674820459748486844168469909367453821306488537648571518173550349672280239596073635023677360679900900053313262458055006742559663812839088029604541035531721391162542729011823<266>

150047319274855267031041847187814014024241103113131654632386600454302228226880680941863163667034254501938403624779873467461853702559242891708505193627428008777927641863004832122393665677690553378306793451987071444071<216>

5437115129862981373867700629542842396518941140444033768554117065652239996845678149371556527489805705442037936660612599346638691172171321870698184505239446479851193854726890559639151628592249<190>

2878744380202089768141648556468551526123<40>

1888710636225816020283871101881162929511180538934232569478835777153789964285300657509688150672280230076888803280369364179832343856345208125208249995563<151>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:1905123489056069605
Step 1 took 18875ms
********** Factor found in step 2: 2878744380202089768141648556468551526123
Found prime factor of 40 digits: 2878744380202089768141648556468551526123
Composite cofactor 1888710636225816020283871101881162929511180538934232569478835777153789964285300657509688150672280230076888803280369364179832343856345208125208249995563 has 151 digits

GMP-ECM 7.0.5

1888710636225816020283871101881162929511180538934232569478835777153789964285300657509688150672280230076888803280369364179832343856345208125208249995563<151>

2825402190139345281681298930126821074987<40>
668474967145356105103785032331173172625717147449231446438284905779289539344966848164881689236475085296588667649<111>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:14010365225328055637
Step 1 took 11969ms
Step 2 took 5047ms
********** Factor found in step 2: 2825402190139345281681298930126821074987
Found prime factor of 40 digits: 2825402190139345281681298930126821074987
Prime cofactor 668474967145356105103785032331173172625717147449231446438284905779289539344966848164881689236475085296588667649 has 111 digits

GMP-ECM 7.0.5

72005230469523477331299393283675845608663605580920218644671646228240075331394049759667138887696049837862239760724425812232687748013078710321448760398904770856010608141468112593089463638949882002384320213585855973563<215>

399679628436888726342817454773851964595419281952148087610007094240735731422730998402037244095307575129451144819073607151376028651826256852906909178894101873948079552465784953059008351531110161181637851654850974145698601330587258143683169569329067836068217493387264213<267>

73674607271620186662733852750641697155907<41>

5424930559363120527758464798763907580067541485296387300997531782714834042622957025023395664059412182629440706152069653365387886467514988403388575384945389078829229042630665271643739810275255116121484754875865465052519997425159<226>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 399679628436888726342817454773851964595419281952148087610007094240735731422730998402037244095307575129451144819073607151376028651826256852906909178894101873948079552465784953059008351531110161181637851654850974145698601330587258143683169569329067836068217493387264213 (267 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3374958122
Step 1 took 27897ms
Step 2 took 10489ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:76300600
Step 1 took 28036ms
Step 2 took 10498ms
Run 3 out of 0:
...
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2720498929
Step 1 took 27409ms
Step 2 took 10494ms
Run 7 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:328328665
Step 1 took 27856ms
Step 2 took 10502ms
** Factor found in step 2: 73674607271620186662733852750641697155907
Found prime factor of 41 digits: 73674607271620186662733852750641697155907
Composite cofactor 5424930559363120527758464798763907580067541485296387300997531782714834042622957025023395664059412182629440706152069653365387886467514988403388575384945389078829229042630665271643739810275255116121484754875865465052519997425159 has 226 digits

4x Xeon E7-8890v4, 1024GB DDR4, Ubuntu Server 24.04

5424930559363120527758464798763907580067541485296387300997531782714834042622957025023395664059412182629440706152069653365387886467514988403388575384945389078829229042630665271643739810275255116121484754875865465052519997425159<226>

84889860109360941736147570937882393742403<41>
63905518896772274086331094627661918464050177311503246229061380661051580550171016713527652775123073094885844478457626462223228083573656840152751052078858861961165137472943640366711612653<185>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 5424930559363120527758464798763907580067541485296387300997531782714834042622957025023395664059412182629440706152069653365387886467514988403388575384945389078829229042630665271643739810275255116121484754875865465052519997425159 (226 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4201050684
Step 1 took 11378ms
Step 2 took 4622ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1646110352
Step 1 took 10657ms
Step 2 took 4556ms
Run 3 out of 0:
...
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2267399737
Step 1 took 10466ms
Step 2 took 4434ms
Run 40 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3589261291
Step 1 took 10207ms
Step 2 took 4861ms
** Factor found in step 2: 84889860109360941736147570937882393742403
Found prime factor of 41 digits: 84889860109360941736147570937882393742403
Prime cofactor 63905518896772274086331094627661918464050177311503246229061380661051580550171016713527652775123073094885844478457626462223228083573656840152751052078858861961165137472943640366711612653 has 185 digits

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

516756010962292896405039299388589320731552129857816556652130601945212437832372768469028951941390322464018936646164043087003447269953565620233865355256415835929703443684606405925488969570474658623462707240770192701510979543151607344204075855723525687584273509824114293351<270>

5101566400963496384173010033278922125604920652935130158745812046288375820024615786435007324703120626405004433020210168106318485006210612403022819284545858017422311854566071665623485766397495178190155736992591336373745013150208218926522606072818799<247>

8511332817012920209995411273774334958424338083149817820791015426081865191326724794879939712446250636652424757341284838789692163637291429175709717300352999914206310247025599094325785501236979918099<196>

14412997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639413<278>

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439753009816798738102018032382605973851325237155766001212088441249774594268931827544466498690784297663751663560249369387372032469433844635241634173737688642139914727368893917284171351934795892582897128728600677378966499667899913416692723498440297598567427<255>

18760744596367215560882700940805215925924856529397<50>

23440061643499556477756937421164683830538404101130225724666075110432670232555485436095938582505786943124236894235608204824222721348004880146485028195135158863834978550204073752682293469698869961857186355991<206>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 439753009816798738102018032382605973851325237155766001212088441249774594268931827544466498690784297663751663560249369387372032469433844635241634173737688642139914727368893917284171351934795892582897128728600677378966499667899913416692723498440297598567427 (255 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:749998292
Step 1 took 27846ms
Step 2 took 10270ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3604343922
Step 1 took 27905ms
Step 2 took 10446ms
Run 3 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1048913977
Step 1 took 27380ms
Step 2 took 9086ms
Run 4 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:433713360
Step 1 took 27336ms
Step 2 took 10307ms
** Factor found in step 2: 18760744596367215560882700940805215925924856529397
Found prime factor of 50 digits: 18760744596367215560882700940805215925924856529397
Composite cofactor 23440061643499556477756937421164683830538404101130225724666075110432670232555485436095938582505786943124236894235608204824222721348004880146485028195135158863834978550204073752682293469698869961857186355991 has 206 digits

4x Xeon E7-8890v4, 1024GB DDR4, Ubuntu Server 24.04

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