728003280469750665049783476553827371298079164960244788638066664280605658425542981039184756742768608121<102>

38307267841554120137312307333919290569087<41>
19004312275177275619747226566204226313835590350472824208299783<62>

N=728003280469750665049783476553827371298079164960244788638066664280605658425542981039184756742768608121
  ( 102 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=38307267841554120137312307333919290569087 (pp41)
 r2=19004312275177275619747226566204226313835590350472824208299783 (pp62)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.73 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 728003280469750665049783476553827371298079164960244788638066664280605658425542981039184756742768608121
m: 100000000000000000000000000000
deg: 4
c4: 17
c0: 4
skew: 0.70
# Murphy_E = 5.786e-08
type: snfs
lss: 1
rlim: 630000
alim: 630000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 630000/630000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [315000, 695001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 71319 x 71547
Total sieving time: 0.72 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117.000,4,0,0,0,0,0,0,0,0,630000,630000,25,25,45,45,2.2,2.2,20000
total time: 0.73 hours.
 --------- CPU info (if available) ----------

235565098694931108543470011030377316701683557155373290617011450553397566781028810781081821242350487621694246379<111>

3323369456562047559197104887724066912676371121<46>
70881405685968483994278977492355394426130581340832078643156017499<65>

Number: 1
N=235565098694931108543470011030377316701683557155373290617011450553397566781028810781081821242350487621694246379
  ( 111 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=3323369456562047559197104887724066912676371121 (pp46)
 r2=70881405685968483994278977492355394426130581340832078643156017499 (pp65)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.71 hours.
Scaled time: 5.56 units (timescale=7.800).
Factorization parameters were as follows:
n: 235565098694931108543470011030377316701683557155373290617011450553397566781028810781081821242350487621694246379
m: 100000000000000000000000000000
deg: 4
c4: 425
c0: 1
skew: 0.22
# Murphy_E = 4.843e-08
type: snfs
lss: 1
rlim: 660000
alim: 660000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 660000/660000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [330000, 530001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 71673 x 71921
Total sieving time: 0.70 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,118.000,4,0,0,0,0,0,0,0,0,660000,660000,25,25,45,45,2.2,2.2,50000
total time: 0.71 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

15531866328336962877300711887411450845806974150538868770851208109963446810421002452159654173<92>

45014880279490419371760669193250696687<38>
345038490203728423820334950045173977757417788920505779<54>

prp38 = 45014880279490419371760669193250696687
prp54 = 345038490203728423820334950045173977757417788920505779

Yafu

19566221924140422493199817117976537751966324736579954235297491974050862140681872245277370071424076130189865553353243<116>

6126442753546885513260049377450921123078531133390899287<55>
3193732923206148862593755233621835480097050515542207681524189<61>

Number: 1
N=19566221924140422493199817117976537751966324736579954235297491974050862140681872245277370071424076130189865553353243
  ( 116 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=6126442753546885513260049377450921123078531133390899287 (pp55)
 r2=3193732923206148862593755233621835480097050515542207681524189 (pp61)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.01 hours.
Scaled time: 7.88 units (timescale=7.800).
Factorization parameters were as follows:
n: 19566221924140422493199817117976537751966324736579954235297491974050862140681872245277370071424076130189865553353243
m: 1000000000000000000000000000000
deg: 4
c4: 425
c0: 1
skew: 0.22
# Murphy_E = 3.129e-08
type: snfs
lss: 1
rlim: 770000
alim: 770000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 770000/770000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [385000, 685001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 81335 x 81560
Total sieving time: 1.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,122.000,4,0,0,0,0,0,0,0,0,770000,770000,25,25,46,46,2.2,2.2,75000
total time: 1.01 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

341277914358550832279633155461878081805764535513857918583987369590581233980491487540354606731282600079421762605819<114>

11132390307193067450222104619840341931033323249<47>
30656301561582689691792393728088160755473905561421595578038905589931<68>

Number: 1
N=341277914358550832279633155461878081805764535513857918583987369590581233980491487540354606731282600079421762605819
  ( 114 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=11132390307193067450222104619840341931033323249 (pp47)
 r2=30656301561582689691792393728088160755473905561421595578038905589931 (pp68)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.03 hours.
Scaled time: 8.02 units (timescale=7.782).
Factorization parameters were as follows:
n: 341277914358550832279633155461878081805764535513857918583987369590581233980491487540354606731282600079421762605819
m: 5000000000000000000000000000000
deg: 4
c4: 34
c0: 5
skew: 0.62
# Murphy_E = 2.905e-08
type: snfs
lss: 1
rlim: 830000
alim: 830000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 830000/830000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [415000, 715001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 85819 x 86044
Total sieving time: 1.02 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,124.000,4,0,0,0,0,0,0,0,0,830000,830000,25,25,46,46,2.2,2.2,75000
total time: 1.03 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

8083032731316574974306732769623560099215685905428934963020137530849798779810036907328699787936192288753609429979<112>

21739873590661328047203443171837905352356921<44>
371806795361899282892429997100930570386910882663450456775607066398899<69>

Number: 1
N=8083032731316574974306732769623560099215685905428934963020137530849798779810036907328699787936192288753609429979
  ( 112 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=21739873590661328047203443171837905352356921 (pp44)
 r2=371806795361899282892429997100930570386910882663450456775607066398899 (pp69)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.99 hours.
Scaled time: 15.55 units (timescale=7.800).
Factorization parameters were as follows:
n: 8083032731316574974306732769623560099215685905428934963020137530849798779810036907328699787936192288753609429979
m: 100000000000000000000000000000000
deg: 4
c4: 425
c0: 1
skew: 0.22
# Murphy_E = 1.287e-08
type: snfs
lss: 1
rlim: 1050000
alim: 1050000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1050000/1050000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [525000, 1025001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 155438 x 155663
Total sieving time: 1.97 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,130.000,4,0,0,0,0,0,0,0,0,1050000,1050000,26,26,47,47,2.3,2.3,100000
total time: 1.99 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

1276228791367192073544170533714976791103778451005982089735459992945007241322162217447825289623608298778312722838931007942377159<127>

116951855781879020498530618565501275274851540497170358497<57>
10912428732618161420566271495879492062707544920173493041222576847457447<71>

Number: 1
N=1276228791367192073544170533714976791103778451005982089735459992945007241322162217447825289623608298778312722838931007942377159
  ( 127 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=116951855781879020498530618565501275274851540497170358497 (pp57)
 r2=10912428732618161420566271495879492062707544920173493041222576847457447 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.41 hours.
Scaled time: 18.67 units (timescale=7.740).
Factorization parameters were as follows:
n: 1276228791367192073544170533714976791103778451005982089735459992945007241322162217447825289623608298778312722838931007942377159
m: 1000000000000000000000000000000000
deg: 4
c4: 85
c0: 2
skew: 0.39
# Murphy_E = 1.018e-08
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1195001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 162410 x 162636
Total sieving time: 2.39 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,133.000,4,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,100000
total time: 2.41 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

307465282927753485765577257543940207956965016015957180425619470322479273004861068102353<87>

232288000691749014142482456852829985147<39>
1323638250844331307096066858409482914544951262499<49>

P49 = 1323638250844331307096066858409482914544951262499
P39 = 232288000691749014142482456852829985147

2510447623505600716674100473330768249981691720443998480487296600202253416532811901609492180707437332324339469852761523813411592506867<133>

40835176675539146014203862905562906050848820271903<50>
61477574676673180509124166591548714925245203295397628194967831221584758583497852589<83>

Number: n
N=2510447623505600716674100473330768249981691720443998480487296600202253416532811901609492180707437332324339469852761523813411592506867  ( 133 digits)
SNFS difficulty: 144 digits.
Divisors found:

Sat Sep 10 22:26:37 2022  p50 factor: 40835176675539146014203862905562906050848820271903
Sat Sep 10 22:26:37 2022  p83 factor: 61477574676673180509124166591548714925245203295397628194967831221584758583497852589
Sat Sep 10 22:26:37 2022  elapsed time 00:02:36 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.294).
Factorization parameters were as follows:
#
# N = 17x10^143+4 = 56(142)8
#
n: 2510447623505600716674100473330768249981691720443998480487296600202253416532811901609492180707437332324339469852761523813411592506867
m: 500000000000000000000000000000000000
deg: 4
c4: 34
c0: 5
skew: 0.62
# Murphy_E = 3.005e-09
type: snfs
lss: 1
rlim: 1780000
alim: 1780000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1780000/1780000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6490000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 431099 hash collisions in 6243300 relations (6514074 unique)
Msieve: matrix is 259146 x 259372 (87.0 MB)

Sieving start time : 2022/09/10 22:07:27
Sieving end time  : 2022/09/10 22:23:49

Total sieving time: 0hrs 16min 22secs.

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

Prototype def-par.txt line would be:
snfs,144,4,0,0,0,0,0,0,0,0,1780000,1780000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

415566637332551090251295590104625012222548156839737948567517356018382712427886965874645546103451647599491541996675466901339591277989635279163<141>

225599741529694719554632809930449618884176812491526201<54>
1842052807839107602513318339884487534789525199780201609048304937350748489515933292428563<88>

Number: n
N=415566637332551090251295590104625012222548156839737948567517356018382712427886965874645546103451647599491541996675466901339591277989635279163  ( 141 digits)
SNFS difficulty: 145 digits.
Divisors found:

Sat Sep 10 19:52:50 2022  p54 factor: 225599741529694719554632809930449618884176812491526201
Sat Sep 10 19:52:50 2022  p88 factor: 1842052807839107602513318339884487534789525199780201609048304937350748489515933292428563
Sat Sep 10 19:52:50 2022  elapsed time 00:03:12 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.305).
Factorization parameters were as follows:
#
# N = 17x10^144+4 = 56(143)8
#
n: 415566637332551090251295590104625012222548156839737948567517356018382712427886965874645546103451647599491541996675466901339591277989635279163
m: 1000000000000000000000000000000000000
deg: 4
c4: 17
c0: 4
skew: 0.70
# Murphy_E = 2.477e-09
type: snfs
lss: 1
rlim: 1840000
alim: 1840000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1840000/1840000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6520000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 578031 hash collisions in 5803738 relations (5847358 unique)
Msieve: matrix is 248177 x 248402 (83.8 MB)

Sieving start time : 2022/09/10 19:46:45
Sieving end time  : 2022/09/10 19:49:07

Total sieving time: 0hrs 2min 22secs.

Total relation processing time: 0hrs 1min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 17sec.

Prototype def-par.txt line would be:
snfs,145,4,0,0,0,0,0,0,0,0,1840000,1840000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

5329292288476989963495465653334683979363724424455299717254706183173517922001870862611014852659378156049873088143<112>

6568825620672345263401979943266310577466346977<46>
811300618440152143282520618080723069557398495528642052158461864559<66>

Number: 1
N=5329292288476989963495465653334683979363724424455299717254706183173517922001870862611014852659378156049873088143
  ( 112 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=6568825620672345263401979943266310577466346977 (pp46)
 r2=811300618440152143282520618080723069557398495528642052158461864559 (pp66)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.06 hours.
Scaled time: 62.33 units (timescale=7.734).
Factorization parameters were as follows:
n: 5329292288476989963495465653334683979363724424455299717254706183173517922001870862611014852659378156049873088143
m: 1000000000000000000000000000000000000
deg: 4
c4: 85
c0: 2
skew: 0.39
# Murphy_E = 2.557e-09
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 1745001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 269960 x 270185
Total sieving time: 8.02 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,145.000,4,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 8.06 hours.
 --------- CPU info (if available) ----------

GMP-ECM

367810886204159551259748874602205436189201701919240915466773876387759660694791339625437586084949348781323118584335187775106419855843<132>

78318805447773255304587149598442824529<38>
126004412963688146724880598425565583327473<42>
37271147919486109606797666296108758027011034985606179<53>

Number: 1
N=367810886204159551259748874602205436189201701919240915466773876387759660694791339625437586084949348781323118584335187775106419855843
  ( 132 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=78318805447773255304587149598442824529 (pp38)
 r2=126004412963688146724880598425565583327473 (pp42)
 r3=37271147919486109606797666296108758027011034985606179 (pp53)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.99 hours.
Scaled time: 38.92 units (timescale=7.806).
Factorization parameters were as follows:
n: 367810886204159551259748874602205436189201701919240915466773876387759660694791339625437586084949348781323118584335187775106419855843
m: 100000000000000000000000000000
deg: 5
c5: 85
c0: 2
skew: 0.47
# Murphy_E = 2.094e-09
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1970000/1970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [985000, 2085001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 302498 x 302723
Total sieving time: 4.91 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000
total time: 4.99 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

18829335167017197370916205976304150709585331528189280106003155927836471247199497482791409756933728013<101>

372088693645633858435580185203225691813<39>
50604427085735888936648127361850615506380142891359354419747401<62>

18829335167017197370916205976304150709585331528189280106003155927836471247199497482791409756933728013=372088693645633858435580185203225691813*50604427085735888936648127361850615506380142891359354419747401

cado polynomial
n: 18829335167017197370916205976304150709585331528189280106003155927836471247199497482791409756933728013
skew: 278309.944
c0: -424621466009888260947473640
c1: 298909209989361583488
c2: -3856403363810716
c3: 8934324211
c4: 97500
Y0: -662899072097887414857049
Y1: 678717940272959
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 2.345e-06
# f(x) = 97500*x^4+8934324211*x^3-3856403363810716*x^2+298909209989361583488*x-424621466009888260947473640
# g(x) = 678717940272959*x-662899072097887414857049

cado parameters (extracts)
tasks.lim0 = 919082
tasks.lim1 = 1051872
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 50
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 372088693645633858435580185203225691813 50604427085735888936648127361850615506380142891359354419747401
Info:Square Root: Total cpu/real time for sqrt: 46.26/13.796
Info:Filtering - Singleton removal: Total cpu/real time for purge: 17.37/19.0306
Info:Filtering - Merging: Merged matrix has 207152 rows and total weight 35384593 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 43.49/12.1521
Info:Filtering - Merging: Total cpu/real time for replay: 7.22/5.90602
Info:Generate Factor Base: Total cpu/real time for makefb: 0.75/0.23222
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2455102
Info:Lattice Sieving: Average J: 991.855 for 109716 special-q, max bucket fill -bkmult 1.0,1s:1.332370
Info:Lattice Sieving: Total time: 3797.78s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 63.24
Info:Polynomial Selection (root optimized): Rootsieve time: 62.87
Info:Linear Algebra: Total cpu/real time for bwc: 555.58/144.67
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 328.39, WCT time 84.18, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6528 iterations)
Info:Linear Algebra: Lingen CPU time 28.02, WCT time 7.14
Info:Linear Algebra: Mksol: CPU time 181.98,  WCT time 46.72, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3328 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 5966/32.850/38.270/39.110/0.695
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3453/32.840/36.800/39.090/1.020
Info:Polynomial Selection (size optimized): Total time: 104.4
Info:Generate Free Relations: Total cpu/real time for freerel: 24.47/6.62562
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 26.31/26.367
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 19.4s
Info:Square Root: Total cpu/real time for sqrt: 46.26/13.796
Info:Quadratic Characters: Total cpu/real time for characters: 7.02/2.77977
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.5/8.60729
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.399999999999999s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 7784.69/2208.77
Info:root: Cleaning up computation data in /tmp/cado.ji8h4kxg
372088693645633858435580185203225691813 50604427085735888936648127361850615506380142891359354419747401

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)

170111367930105925292107205149988749439050533311549279754641929538227446522077100439524670103402887981315943406008437382116920361271773584751<141>

3441095091067923696049397978832038303<37>
49435241813475389643930131383769463766221833456847490116349761127165922140596896587129266290340321991217<104>

C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:2240465202 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 170111367930105925292107205149988749439050533311549279754641929538227446522077100439524670103402887981315943406008437382116920361271773584751 (141 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2240465202
Step 1 took 5469ms
Step 2 took 4000ms
********** Factor found in step 2: 3441095091067923696049397978832038303
Found probable prime factor of 37 digits: 3441095091067923696049397978832038303
Probable prime cofactor 49435241813475389643930131383769463766221833456847490116349761127165922140596896587129266290340321991217 has 104 digits

72208268924733801687346860777639759805013569147438779266896403543295489805296312508269585624760662695100253549498602956143<122>

322319087437459147861863076667681408293180141<45>
224027281470709235526472718797955616882158082325028140123885891782660863246923<78>

72208268924733801687346860777639759805013569147438779266896403543295489805296312508269585624760662695100253549498602956143=322319087437459147861863076667681408293180141*224027281470709235526472718797955616882158082325028140123885891782660863246923

cado polynomial
n: 72208268924733801687346860777639759805013569147438779266896403543295489805296312508269585624760662695100253549498602956143
skew: 0.75
type: snfs
c0: 4
c5: 17
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5+4
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2800000
tasks.lim1 = 2800000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 322319087437459147861863076667681408293180141 224027281470709235526472718797955616882158082325028140123885891782660863246923
Info:Square Root: Total cpu/real time for sqrt: 48.01/15.4193
Info:Linear Algebra: Total cpu/real time for bwc: 1122.22/289.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 679.52, WCT time 173.36, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8960 iterations)
Info:Linear Algebra: Lingen CPU time 44.04, WCT time 11.18
Info:Linear Algebra: Mksol: CPU time 374.41,  WCT time 95.58, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4480 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 61.27/17.0271
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.52/84.0099
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.1s
Info:Square Root: Total cpu/real time for sqrt: 48.01/15.4193
Info:Generate Factor Base: Total cpu/real time for makefb: 1.23/0.704549
Info:Quadratic Characters: Total cpu/real time for characters: 8.97/3.57342
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.05/43.1263
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 43.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 91.26/79.3864
Info:Filtering - Merging: Merged matrix has 285995 rows and total weight 48624467 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 57.02/15.7148
Info:Filtering - Merging: Total cpu/real time for replay: 8.78/7.29464
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11682537
Info:Lattice Sieving: Average J: 1894.34 for 185223 special-q, max bucket fill -bkmult 1.0,1s:1.239450
Info:Lattice Sieving: Total time: 23152.8s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 43412.6/12264.3
Info:root: Cleaning up computation data in /tmp/cado.gawc7r6y
322319087437459147861863076667681408293180141 224027281470709235526472718797955616882158082325028140123885891782660863246923

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)

2602442525601360127974911323720687757511959105786222457176031948035012511971901566306192563529253243535575557517998095775777696960921239<136>

319002840521342704987603323154084268141132597400853453<54>
8158054396469379336822065329058509667397959267804099567329106182938216488640382963<82>

Number: 1
N=2602442525601360127974911323720687757511959105786222457176031948035012511971901566306192563529253243535575557517998095775777696960921239
  ( 136 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=319002840521342704987603323154084268141132597400853453 (pp54)
 r2=8158054396469379336822065329058509667397959267804099567329106182938216488640382963 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.03 hours.
Scaled time: 100.45 units (timescale=7.710).
Factorization parameters were as follows:
n: 2602442525601360127974911323720687757511959105786222457176031948035012511971901566306192563529253243535575557517998095775777696960921239
m: 10000000000000000000000000000000
deg: 5
c5: 425
c0: 1
skew: 0.30
# Murphy_E = 7.925e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 517415 x 517641
Total sieving time: 12.92 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 13.03 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

2623241571258064763677289084733866924346850406199640338466345959498813679444423098265934782109852481363517123844792399053494102712043<133>

371905878053361492944014656909389612658482807<45>
7053509304528063890114619467145876109727275427198324404111312867938932196291831407893549<88>

n: 2623241571.....4102712043
skew: 15901.391
c0: -873858395528180324014192398
c1: -10790017023892601621123956
c2: -417949941899736729897
c3: 65745185238132811
c4: 69868422030
c5: 25086600
Y0: -32177716883916415106167633
Y1: 3262087965491847193
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.214e-07
# f(x) = 25086600*x^5+69868422030*x^4+65745185238132811*x^
     3-417949941899736729897*x^
         2-10790017023892601621123956*x-
         873858395528180324014192398
# g(x) = 3262087965491847193*x-
     32177716883916415106167633
         
Square Root: finished
Factors: 

       7053509304528063890114619467145876109727275427198324404111312867938932196291831407893549 
        371905878053361492944014656909389612658482807
        
Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 478736/67897.4, (18.86 hours)

CADO-NFS v3.0.0

Ubuntu 20.04.4, Intel Xeon E5-1620.

108974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974359<159>

5838682377963428635156127314508087<34>
18664203996719197759528963969735402132517279267100712256916621313803211003930648502557831157974121466915155921779470111108257<125>

Number: n
N=108974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974359  ( 159 digits)
SNFS difficulty: 160 digits.
Divisors found:

Sun Sep 11 20:36:16 2022  p34 factor: 5838682377963428635156127314508087
Sun Sep 11 20:36:16 2022  p125 factor: 18664203996719197759528963969735402132517279267100712256916621313803211003930648502557831157974121466915155921779470111108257
Sun Sep 11 20:36:16 2022  elapsed time 00:06:57 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.303).
Factorization parameters were as follows:
#
# N = 17x10^159+4 = 56(158)8
#
n: 108974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974359
m: 50000000000000000000000000000000
deg: 5
c5: 68
c0: 5
skew: 0.59
# Murphy_E = 6.235e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1648179 hash collisions in 15837325 relations (15212335 unique)
Msieve: matrix is 418285 x 418512 (140.9 MB)

Sieving start time : 2022/09/11 20:04:35
Sieving end time  : 2022/09/11 20:29:00

Total sieving time: 0hrs 24min 25secs.

Total relation processing time: 0hrs 2min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 39sec.

Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1468000201092732522539659465731917559023101486545132918176348600184056279410728962163627048010404585554600722876243301667608762956365576893399482611543223<154>

305602635796197279769348447912188690322006563916361<51>
4803624148293420449840312493127071445087493254268558441072477117975377394647018407597501107140845567743<103>

Number: n
N=1468000201092732522539659465731917559023101486545132918176348600184056279410728962163627048010404585554600722876243301667608762956365576893399482611543223  ( 154 digits)
SNFS difficulty: 168 digits.
Divisors found:

Wed Sep 14 12:47:30 2022  p51 factor: 305602635796197279769348447912188690322006563916361
Wed Sep 14 12:47:30 2022  p103 factor: 4803624148293420449840312493127071445087493254268558441072477117975377394647018407597501107140845567743
Wed Sep 14 12:47:30 2022  elapsed time 00:10:58 (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 = 17x10^168+4 = 56(167)8
#
n: 1468000201092732522539659465731917559023101486545132918176348600184056279410728962163627048010404585554600722876243301667608762956365576893399482611543223
m: 1000000000000000000000000000000000
deg: 5
c5: 4250
c0: 1
skew: 0.19
# Murphy_E = 2.494e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1431192 hash collisions in 12909279 relations (12237531 unique)
Msieve: matrix is 662209 x 662434 (230.2 MB)

Sieving start time : 2022/09/14 11:45:09
Sieving end time  : 2022/09/14 12:36:06

Total sieving time: 0hrs 50min 57secs.

Total relation processing time: 0hrs 6min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 40sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

14759167736988051263826759534599870089531252779060811472605508303603796562659900902961519497067720349508749147056448745765389<125>

27629131902538327677085343630498357899353978471911034616897<59>
534188616169735883544687106718091380467424300585116089858646866637<66>

n: 147591......765389
skew: 189679.64
c0: 194202057830329293614255983212
c1: 43523529135761418021477398
c2: 223088445113150805987
c3: -2362237484642687
c4: 3176055960
c5: 10800
Y0: -1748985652825387282200560
Y1: 12238273715580829
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=1.208e+13) = 3.555e-06
# f(x) = 10800*x^5+3176055960*x^4-2362237484642687*x^3+223088445113150805987*
   x^2+43523529135761418021477398*x+194202057830329293614255983212
# g(x) = 12238273715580829*x-1748985652825387282200560
Factors: 
       534188616169735883544687106718091380467424300585116089858646866637 
        27629131902538327677085343630498357899353978471911034616897
Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 103720/15985.9, (4.44 hours).

CADO-NFS v3.0.0.

Ubuntu 20.04.4, Intel Xeon E5-1620.

1059700573524343828316500388931031587993436808007213752656683229666671862634852713656878873380619187788205031286082922549633434011<130>

147599969629935947514952314715836883892812883604624671<54>
7179544658316903584537522246306713198437705761326259986344789562037170497541<76>

Number: n
N=1059700573524343828316500388931031587993436808007213752656683229666671862634852713656878873380619187788205031286082922549633434011  ( 130 digits)
Divisors found:

Sun Sep 18 09:32:52 2022  p54 factor: 147599969629935947514952314715836883892812883604624671
Sun Sep 18 09:32:52 2022  p76 factor: 7179544658316903584537522246306713198437705761326259986344789562037170497541
Sun Sep 18 09:32:52 2022  elapsed time 00:20:40 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# Polynomial selection complete  --  17x10^171+4 = 56(170)8
#

n: 1059700573524343828316500388931031587993436808007213752656683229666671862634852713656878873380619187788205031286082922549633434011

type: gnfs

Y0: -19668720556534419399377872
Y1: 4709765758871
c0: 400788951714817599661541868206061
c1: 4433332519112400627720369603
c2: -842224129040843305142
c3: -7317496948567613
c4: 408322651
c5: 360

# skew 1703512.75, size 1.875e-12, alpha -6.798, combined = 8.739e-11 rroots = 5

skew: 1703512.75

rlim: 2800000
alim: 2800000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved  special-q in [100000, 35800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1238118 hash collisions in 7188762 relations (6075340 unique)
Msieve: matrix is 901648 x 901873 (325.0 MB)

Sieving start time : 2022/09/18 05:39:59
Sieving end time  : 2022/09/18 09:11:58

Total sieving time: 3hrs 31min 59secs.

Total relation processing time: 0hrs 13min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 57sec.

Prototype def-par.txt line would be:
gnfs,129,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,26,26,50,50,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2416728088887570861819010502605810770477913401758721972324499099931904148797389096646956014284122122346812800472715372587660508903<130>

44546080574257563196436371932955725736445743495007344543905511<62>
54252317100242433140546503710253795669059040753913739951558051100673<68>

Number: n
N=2416728088887570861819010502605810770477913401758721972324499099931904148797389096646956014284122122346812800472715372587660508903  ( 130 digits)
SNFS difficulty: 173 digits.
Divisors found:

Wed Sep 21 12:56:05 2022  p62 factor: 44546080574257563196436371932955725736445743495007344543905511
Wed Sep 21 12:56:05 2022  p68 factor: 54252317100242433140546503710253795669059040753913739951558051100673
Wed Sep 21 12:56:05 2022  elapsed time 00:16:42 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.301).
Factorization parameters were as follows:
#
# N = 17x10^173+4 = 56(172)8
#
n: 2416728088887570861819010502605810770477913401758721972324499099931904148797389096646956014284122122346812800472715372587660508903
m: 10000000000000000000000000000000000
deg: 5
c5: 4250
c0: 1
skew: 0.19
# Murphy_E = 1.58e-10
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1493856 hash collisions in 13263288 relations (12548551 unique)
Msieve: matrix is 887448 x 887673 (308.4 MB)

Sieving start time : 2022/09/21 10:48:03
Sieving end time  : 2022/09/21 12:39:07

Total sieving time: 1hrs 51min 4secs.

Total relation processing time: 0hrs 12min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 6sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

193993587634847329339107586590961163611127620645962181605997428990168309275025578659<84>

57118585521353195135813950393329786379<38>
3396330386408550398231262460992699345976069321<46>

193993587634847329339107586590961163611127620645962181605997428990168309275025578659 = 57118585521353195135813950393329786379 * 3396330386408550398231262460992699345976069321

Time elapsed: 0d 0h 8m 29.2s

Modular multiplications:

ECM: 78622512
Probable prime checking: 1411
SIQS: 156919
Sum of squares: 2522
SIQS:

1143268 polynomials sieved
542847 sets of trial divisions
18243 smooth congruences found (1 out of every 5468233 values)
204843 partial congruences found (1 out of every 486992 values)
19047 useful partial congruences
Size of binary matrix: 34467 × 33527
Timings:

Probable prime test of 3 numbers: 0d 0h 0m 0.0s
Factoring 1 number using ECM: 0d 0h 0m 14.4s
Factoring 1 number using SIQS: 0d 0h 8m 14.8s

Dario Alpern's calculator

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

27871119393319217397131083960084462968378729183109912177961246007965469431594762484163250740186250628935709731975020971757019529853445461892413997<146>

3769238758081989147810350249067160367053403219<46>
7394362942267336167748848922817207568768806316844769854614122039023562221969606830056357215180244863<100>

Number: 1
N=27871119393319217397131083960084462968378729183109912177961246007965469431594762484163250740186250628935709731975020971757019529853445461892413997
  ( 146 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=3769238758081989147810350249067160367053403219 (pp46)
 r2=7394362942267336167748848922817207568768806316844769854614122039023562221969606830056357215180244863 (pp100)
Version: Msieve v. 1.52 (SVN 927)
Total time: 48.48 hours.
Scaled time: 379.36 units (timescale=7.825).
Factorization parameters were as follows:
n: 27871119393319217397131083960084462968378729183109912177961246007965469431594762484163250740186250628935709731975020971757019529853445461892413997
m: 100000000000000000000000000000000000
deg: 5
c5: 17
c0: 4
skew: 0.75
# Murphy_E = 1.559e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 6250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1186149 x 1186378
Total sieving time: 48.14 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 48.48 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

8652930167916348064502286681322762558933479629648134821513244022976568467090232069199920468486426914965388156462687638735099<124>

430557204276647165006712755044311556872667374875767<51>
20097051174543942439922287900558206529284407855362692055590993383677527197<74>

8652930167916348064502286681322762558933479629648134821513244022976568467090232069199920468486426914965388156462687638735099=430557204276647165006712755044311556872667374875767*20097051174543942439922287900558206529284407855362692055590993383677527197

cado polynomial
n: 8652930167916348064502286681322762558933479629648134821513244022976568467090232069199920468486426914965388156462687638735099
skew: 49976.109
c0: 10993361656340727318365118870
c1: 1728133442504616336706063
c2: 42592649823162699840
c3: -2073482180869903
c4: -9723812510
c5: 114000
Y0: -946498649494454572133152
Y1: 8708792933144597
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.773e-07
# f(x) = 114000*x^5-9723812510*x^4-2073482180869903*x^3+42592649823162699840*x^2+1728133442504616336706063*x+10993361656340727318365118870
# g(x) = 8708792933144597*x-946498649494454572133152

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 430557204276647165006712755044311556872667374875767 20097051174543942439922287900558206529284407855362692055590993383677527197
Info:Square Root: Total cpu/real time for sqrt: 583.78/171.761
Info:Filtering - Singleton removal: Total cpu/real time for purge: 73.69/83.0399
Info:Filtering - Merging: Merged matrix has 801514 rows and total weight 136340624 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 165.08/47.4495
Info:Filtering - Merging: Total cpu/real time for replay: 30.07/24.9392
Info:Generate Factor Base: Total cpu/real time for makefb: 8.57/2.34264
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11758627
Info:Lattice Sieving: Average J: 3783.75 for 200307 special-q, max bucket fill -bkmult 1.0,1s:1.263140
Info:Lattice Sieving: Total time: 59442.6s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2618.6
Info:Polynomial Selection (root optimized): Rootsieve time: 2616.11
Info:Linear Algebra: Total cpu/real time for bwc: 9635.16/2477.18
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6046.48, WCT time 1546.74, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25088 iterations)
Info:Linear Algebra: Lingen CPU time 147.55, WCT time 37.49
Info:Linear Algebra: Mksol: CPU time 3315.88,  WCT time 847.39, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20252/36.710/44.146/48.790/0.883
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16130/35.730/39.505/44.890/0.912
Info:Polynomial Selection (size optimized): Total time: 1975.5
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 143.88/129.228
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 113.99999999999999s
Info:Square Root: Total cpu/real time for sqrt: 583.78/171.761
Info:Generate Free Relations: Total cpu/real time for freerel: 127.15/33.1088
Info:Quadratic Characters: Total cpu/real time for characters: 30.34/12.1377
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.59/53.8878
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 53.6s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 126008/34088.3
Info:root: Cleaning up computation data in /tmp/cado.sfd9xa8o
430557204276647165006712755044311556872667374875767 20097051174543942439922287900558206529284407855362692055590993383677527197

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)

3128572953129183307992241303511640819623266683866297909094785903268539910629979908086174252281834171458766598239608369036484388411567<133>

4581929466989773163736259183481727183408319<43>
682806877685218252647118745717405729258812930177081355429347650573021561803183626225074193<90>

n: 312857......411567
skew: 150428.433
c0: -1260684469001085931811730045948
c1: 67404190365166762632347273
c2: -1165883998995038735296
c3: -8627413654250929
c4: 32535084948
c5: 62280
Y0: -48852471941586412174617518
Y1: 8150924165044453781
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=4.698e+13) = 2.541e-06
# f(x) = 62280*x^5+32535084948*x^4-8627413654250929*
   x^3-1165883998995038735296*x^2+67404190365166762632347273*
        x-1260684469001085931811730045948
# g(x) = 8150924165044453781*x-48852471941586412174617518
Factors: 
    682806877685218252647118745717405729258812930177081355429347650573021561803183626225074193
        4581929466989773163736259183481727183408319

CADO-NFS v3.0.0

Ubuntu 20.04.4, Intel Xeon E5-1620.

1563667159944484204165560571264742748088488477224737850004562282425256196828017282542093870554383248559471497351147519435280182451030712550618143865705936143614587191<166>

7285348632670449794995572586101580865189<40>
214631754605725831830117920031670927656376274073719517412486924823529062987802185020414061605892076682883764558486031356757419<126>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1563667159944484204165560571264742748088488477224737850004562282425256196828017282542093870554383248559471497351147519435280182451030712550618143865705936143614587191 (166 digits)
Using B1=12840000, B2=35135665120, polynomial Dickson(12), sigma=1:4109752732
Step 1 took 30073ms
Step 2 took 11667ms
********** Factor found in step 2: 7285348632670449794995572586101580865189
Found prime factor of 40 digits: 7285348632670449794995572586101580865189
Prime cofactor 214631754605725831830117920031670927656376274073719517412486924823529062987802185020414061605892076682883764558486031356757419 has 126 digits

18484978110133507857976534401670514152679433045998760230782910079786506885381529051245812166858497459770493199178624893238650687658977370339420801969968166731<158>

7605377783928583756015592441993937645067<40>
2430514122414183290957267972865902802092958227253138967907772546794687394379464932229234022167692717228392918278726593<118>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 18484978110133507857976534401670514152679433045998760230782910079786506885381529051245812166858497459770493199178624893238650687658977370339420801969968166731 (158 digits)
Using B1=16630000, B2=58559116990, polynomial Dickson(12), sigma=1:3051328869
Step 1 took 38583ms
********** Factor found in step 1: 7605377783928583756015592441993937645067
Found prime factor of 40 digits: 7605377783928583756015592441993937645067
Prime cofactor 2430514122414183290957267972865902802092958227253138967907772546794687394379464932229234022167692717228392918278726593 has 118 digits

42804726433856083241544149534942790694816433333900535027719841110301772864398724988059471072344836945549668063099496131643696483<128>

107261068001456448958870733909771965255721<42>
399070485045653819604736438418013473391610288562482876652634306724076200032764609546923<87>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2882260186
Step 1 took 4859ms
Step 2 took 2969ms
********** Factor found in step 2: 107261068001456448958870733909771965255721
Found prime factor of 42 digits: 107261068001456448958870733909771965255721
Prime cofactor 399070485045653819604736438418013473391610288562482876652634306724076200032764609546923 has 87 digits
 

GMP-ECM

106753726505896393507484414971346467126750661990721824643253831720736533666526734635518454186266892618941625515296689852463313139313639967015349129417997539565732386461337573941<177>

1127903914026180360428803980493287691043810972491139160813956620787610144912529819<82>
94647890816183902002214910536652340101881683414050658513744058676217307180812991906666700669039<95>

Number: n
N=106753726505896393507484414971346467126750661990721824643253831720736533666526734635518454186266892618941625515296689852463313139313639967015349129417997539565732386461337573941  ( 177 digits)
SNFS difficulty: 186 digits.
Divisors found:

Fri Sep 16 03:17:47 2022  p82 factor: 1127903914026180360428803980493287691043810972491139160813956620787610144912529819
Fri Sep 16 03:17:47 2022  p95 factor: 94647890816183902002214910536652340101881683414050658513744058676217307180812991906666700669039
Fri Sep 16 03:17:47 2022  elapsed time 00:25:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 17x10^185+4 = 56(184)8
#
n: 106753726505896393507484414971346467126750661990721824643253831720736533666526734635518454186266892618941625515296689852463313139313639967015349129417997539565732386461337573941
m: 10000000000000000000000000000000000000
deg: 5
c5: 17
c0: 4
skew: 0.75
# Murphy_E = 6.132e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2984784 hash collisions in 28743391 relations (27524277 unique)
Msieve: matrix is 1017317 x 1017544 (351.4 MB)

Sieving start time : 2022/09/15 23:46:09
Sieving end time  : 2022/09/16 02:52:20

Total sieving time: 3hrs 6min 11secs.

Total relation processing time: 0hrs 16min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 5sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

110331093741857366774518562538136675308139791618283363416439173431251755412659239068507013427998420211778279557764120279605757640732744426973150416525821747189034944477<168>

1208691013943801396284973183405652229611526694029517<52>
20937441080693224792451141660683629864019276936791703<53>
4359724316452698060180954185757625621705348446510971147016778327<64>

Number: n
N=110331093741857366774518562538136675308139791618283363416439173431251755412659239068507013427998420211778279557764120279605757640732744426973150416525821747189034944477  ( 168 digits)
SNFS difficulty: 187 digits.
Divisors found:

Tue Sep 20 19:32:31 2022  found factor: 1208691013943801396284973183405652229611526694029517
Tue Sep 20 19:35:12 2022  found factor: 1208691013943801396284973183405652229611526694029517
Tue Sep 20 19:36:33 2022  p52 factor: 1208691013943801396284973183405652229611526694029517
Tue Sep 20 19:36:33 2022  p53 factor: 20937441080693224792451141660683629864019276936791703
Tue Sep 20 19:36:33 2022  p64 factor: 4359724316452698060180954185757625621705348446510971147016778327
Tue Sep 20 19:36:33 2022  elapsed time 00:32:49 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 17x10^187+4 = 56(186)8
#
n: 110331093741857366774518562538136675308139791618283363416439173431251755412659239068507013427998420211778279557764120279605757640732744426973150416525821747189034944477
m: 10000000000000000000000000000000000000
deg: 5
c5: 425
c0: 1
skew: 0.30
# Murphy_E = 5.07e-11
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3157296 hash collisions in 28778284 relations (27341121 unique)
Msieve: matrix is 1101637 x 1101864 (380.5 MB)

Sieving start time : 2022/09/20 15:35:07
Sieving end time  : 2022/09/20 19:02:50

Total sieving time: 3hrs 27min 43secs.

Total relation processing time: 0hrs 20min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 24sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2011532358344312047384230301449749432692226205200990906944574868675258318405741598417520777863278178657888987887203420859816152490845425371470332920119366100622317592687<169>

8152811513243144724499251635058283179335794252663717371166466078316213001<73>
246728672075497947598186691068785725964376945341335368626426019884119497399990896987769486261687<96>

Number: n
N=2011532358344312047384230301449749432692226205200990906944574868675258318405741598417520777863278178657888987887203420859816152490845425371470332920119366100622317592687  ( 169 digits)
SNFS difficulty: 188 digits.
Divisors found:

Mon Sep 19 15:52:16 2022  p73 factor: 8152811513243144724499251635058283179335794252663717371166466078316213001
Mon Sep 19 15:52:16 2022  p96 factor: 246728672075497947598186691068785725964376945341335368626426019884119497399990896987769486261687
Mon Sep 19 15:52:16 2022  elapsed time 00:34:30 (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 = 17x10^188+4 = 56(187)8
#
n: 2011532358344312047384230301449749432692226205200990906944574868675258318405741598417520777863278178657888987887203420859816152490845425371470332920119366100622317592687
m: 10000000000000000000000000000000000000
deg: 5
c5: 4250
c0: 1
skew: 0.19
# Murphy_E = 3.909e-11
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3332303 hash collisions in 28326727 relations (26618779 unique)
Msieve: matrix is 1218250 x 1218477 (424.1 MB)

Sieving start time : 2022/09/19 10:50:04
Sieving end time  : 2022/09/19 15:17:17

Total sieving time: 4hrs 27min 13secs.

Total relation processing time: 0hrs 25min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 33sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9700000,9700000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6319837899716910266407572210279746277122917802535852413876487780836150006406596138273502793240940292225377141127357355708629418297869867602066435593536922207792511866691<169>

20083289318139905982567457573637404891349<41>
314681414961672587395409126992828329544159370508356263226739559208215297798007343168308128379331702694055660080443295721081387959<129>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 6319837899716910266407572210279746277122917802535852413876487780836150006406596138273502793240940292225377141127357355708629418297869867602066435593536922207792511866691 (169 digits)
Using B1=23130000, B2=96188942866, polynomial Dickson(12), sigma=1:3311212393
Step 1 took 55213ms
Step 2 took 20052ms
********** Factor found in step 2: 20083289318139905982567457573637404891349
Found prime factor of 41 digits: 20083289318139905982567457573637404891349
Prime cofactor 314681414961672587395409126992828329544159370508356263226739559208215297798007343168308128379331702694055660080443295721081387959 has 129 digits

8918357099286097055605452889177326044454505750210415520526627098119575947018831394304132806550111503595766168399104748034693122584790860434069660175130932499011583728778533208090221541853<187>

1364880435074090310491627872907920027592231798839200223095410970026622991671293560950617851<91>
6534167294149819483622133398918819659213010657353801292185063872909977180170525421216755957783303<97>

Number: n
N=8918357099286097055605452889177326044454505750210415520526627098119575947018831394304132806550111503595766168399104748034693122584790860434069660175130932499011583728778533208090221541853  ( 187 digits)
SNFS difficulty: 195 digits.
Divisors found:

Fri Sep 23 11:45:43 2022  p91 factor: 1364880435074090310491627872907920027592231798839200223095410970026622991671293560950617851
Fri Sep 23 11:45:43 2022  p97 factor: 6534167294149819483622133398918819659213010657353801292185063872909977180170525421216755957783303
Fri Sep 23 11:45:43 2022  elapsed time 00:56:15 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 17x10^194+4 = 56(193)8
#
n: 8918357099286097055605452889177326044454505750210415520526627098119575947018831394304132806550111503595766168399104748034693122584790860434069660175130932499011583728778533208090221541853
m: 500000000000000000000000000000000000000
deg: 5
c5: 68
c0: 5
skew: 0.59
# Murphy_E = 2.44e-11
type: snfs
lss: 1
rlim: 12600000
alim: 12600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12600000/12600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3301486 hash collisions in 28511833 relations (26859415 unique)
Msieve: matrix is 1546689 x 1546913 (538.3 MB)

Sieving start time : 2022/09/23 04:38:47
Sieving end time  : 2022/09/23 10:48:32

Total sieving time: 6hrs 9min 45secs.

Total relation processing time: 0hrs 46min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 57sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12600000,12600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

14228959486111318547020482165333458360689344942999173317541799736314279588132757183010596928855534020499671975611978591623147728877441930921629157740045233293047968437208236231984308450790297<191>

4524800782991796097999720076420147928719233951837<49>
3144659879744614389247050090793264944027133431659085010858785090554072256842565524938184110077327121255963007389799566869034890747601319529581<142>

Number: n
N=14228959486111318547020482165333458360689344942999173317541799736314279588132757183010596928855534020499671975611978591623147728877441930921629157740045233293047968437208236231984308450790297  ( 191 digits)
SNFS difficulty: 199 digits.
Divisors found:

Fri Sep 30 12:56:07 2022  p49 factor: 4524800782991796097999720076420147928719233951837
Fri Sep 30 12:56:07 2022  p142 factor: 3144659879744614389247050090793264944027133431659085010858785090554072256842565524938184110077327121255963007389799566869034890747601319529581
Fri Sep 30 12:56:07 2022  elapsed time 01:12:48 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 17x10^198+4 = 56(197)8
#
n: 14228959486111318547020482165333458360689344942999173317541799736314279588132757183010596928855534020499671975611978591623147728877441930921629157740045233293047968437208236231984308450790297
m: 1000000000000000000000000000000000
deg: 6
c6: 17
c0: 4
skew: 0.79
# Murphy_E = 1.598e-11
type: snfs
lss: 1
rlim: 14600000
alim: 14600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14600000/14600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3756049 hash collisions in 28955369 relations (27251386 unique)
Msieve: matrix is 1767934 x 1768159 (616.9 MB)

Sieving start time : 2022/09/30 02:24:30
Sieving end time  : 2022/09/30 11:42:28

Total sieving time: 9hrs 17min 58secs.

Total relation processing time: 1hrs 1min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 40sec.

Prototype def-par.txt line would be:
snfs,199,6,0,0,0,0,0,0,0,0,14600000,14600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1101185155250983556986777031988847390423906802370424937115785100610852842975599502842382104343565131675916674336991976882855651717302791094473864838093608266860727<163>

766041354929280990738691241609936070571<39>
1437500923631782514037029964033555258491794182371410886856701549728452759657444184697996756813440970581953714420600756217637<124>

GPU: factor 766041354929280990738691241609936070571 found in Step 1 with curve 1767 (-sigma 3:43573652)
Computing 1792 Step 1 took 280ms of CPU time / 178443ms of GPU time
Throughput: 10.042 curves per second (on average 99.58ms per Step 1)
********** Factor found in step 1: 766041354929280990738691241609936070571
Found prime factor of 39 digits: 766041354929280990738691241609936070571
Prime cofactor 1437500923631782514037029964033555258491794182371410886856701549728452759657444184697996756813440970581953714420600756217637 has 124 digits
Peak memory usage: 9428MB

575062643930973106608620263002896939813750691784722440753586374293187261754617088857021815401806126727179668078822675097411537499267161<135>

1335540808925258756491227684953542299568425157<46>
430584105021650070786455618623172000212247345435956994751778459682814559660451293737495173<90>

n: 575062......9267161
skew: 63745.991
c0: 1147715016334593095885838799740
c1: 55200940736323510383983002
c2: -1886612024558538744218
c3: -15441601802989529
c4: 399293414040
c5: 516600
Y0: -94493194575544881827522025
Y1: 161498084237788953271
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=4.698e+13) = 2.074e-06
# f(x) = 516600*x^5+399293414040*x^4-15441601802989529*
    x^3-1886612024558538744218*x^2+55200940736323510383983002*
        x+1147715016334593095885838799740
# g(x) = 161498084237788953271*x-94493194575544881827522025
Factors: 
  1335540808925258756491227684953542299568425157 
        430584105021650070786455618623172000212247345435956994751778459682814559660451293737495173
Total elapsed time for entire Complete Factorization: 61254.1, (17.02 hours).

CADO-NFS v3.0.0

Ubuntu 20.04.4. Intel Xeon E5-1620

245532989474954496787790167819619962042778048444179132048852709388368390411376675194416429395111700586118774201572345716718421492918799005827909945343245932209296835977595479848870484833<186>

47953693730816593134682559926403785301917<41>

5120210152177851187385263994938664333923821895238012584768358775506988831564096595327678992986354448525809414867978598186273057998683239530297749<145>

GPU: factor 47953693730816593134682559926403785301917 found in Step 1 with curve 1017 (-sigma 3:-2101944785)
Computing 1792 Step 1 took 188ms of CPU time / 178290ms of GPU time
Throughput: 10.051 curves per second (on average 99.49ms per Step 1)
********** Factor found in step 1: 47953693730816593134682559926403785301917
Found prime factor of 41 digits: 47953693730816593134682559926403785301917
Composite cofactor 5120210152177851187385263994938664333923821895238012584768358775506988831564096595327678992986354448525809414867978598186273057998683239530297749 has 145 digits
Peak memory usage: 9428MB

5120210152177851187385263994938664333923821895238012584768358775506988831564096595327678992986354448525809414867978598186273057998683239530297749<145>

508931707163948628242058503102419<33>

10060701819327623313031502373500393862620288768005507871417124867635955539650034491614713207901572715576212654071<113>

Resuming ECM residue saved by @ec3345abc87d with GMP-ECM 7.0.5-dev on Tue Sep 20 16:17:45 2022 
Input number is 5120210152177851187385263994938664333923821895238012584768358775506988831564096595327678992986354448525809414867978598186273057998683239530297749 (145 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2193021575
Step 1 took 0ms
Step 2 took 3469ms
********** Factor found in step 2: 508931707163948628242058503102419
Found prime factor of 33 digits: 508931707163948628242058503102419
Composite cofactor 10060701819327623313031502373500393862620288768005507871417124867635955539650034491614713207901572715576212654071 has 113 digits

10060701819327623313031502373500393862620288768005507871417124867635955539650034491614713207901572715576212654071<113>

29001767931563835363640538859550538576557409<44>
346899604295438186557525038469860340145941597718127189045194822853719<69>

Number: n
N=10060701819327623313031502373500393862620288768005507871417124867635955539650034491614713207901572715576212654071  ( 113 digits)
Divisors found:

Wed Sep 28 05:19:19 2022  p44 factor: 29001767931563835363640538859550538576557409
Wed Sep 28 05:19:19 2022  p69 factor: 346899604295438186557525038469860340145941597718127189045194822853719
Wed Sep 28 05:19:19 2022  elapsed time 00:04:59 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# Msieve: Polynomial selection
#
# N = 17x10^207+4 = 56(206)8 n(113 digits)
# 

n: 10060701819327623313031502373500393862620288768005507871417124867635955539650034491614713207901572715576212654071

Y0: -11089319144334143258706
Y1: 1746113694049
c0: 327468762389166097917145453525
c1: 7229539549334477730302527
c2: 19414221927885615099
c3: -58607865886363
c4: -41564176
c5: 60

#
# skew 539662.10, size 1.135e-10, alpha -7.153, combined = 8.366e-10 rroots = 5
#
skew: 539662.10
type: gnfs
rlim: 2600000
alim: 2600000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 504611 hash collisions in 5986144 relations (5713691 unique)
Msieve: matrix is 311720 x 311945 (110.2 MB)

Sieving start time : 2022/09/28 05:12:15
Sieving end time  : 2022/09/28 05:14:06

Total sieving time: 0hrs 1min 51secs.

Total relation processing time: 0hrs 2min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 10sec.

Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2600000,2600000,26,26,49,49,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

30637889861274169844868289514252231622125392435531223172390930950249748760039245317993666504772505067754356550554984046846886290490465633240806220398902015984443238488811<170>

87127996995113983914860617397068354814159459191384956736219462489<65>
351642306926811364809961252529595655965651925275618110512370742552914568697132287019195385445636193481699<105>

10/04/24 18:52:59 v1.34.5 @ RYZEN-9,
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, ****************************
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, Starting factorization of 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, using pretesting plan: normal
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, ****************************
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, div: found prime factor = 2
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, div: found prime factor = 2
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, div: found prime factor = 23
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, div: found prime factor = 5003
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C204
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C204
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, prp5 = 15259
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C199
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C199
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C199
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 61.23
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, prp12 = 150081300241 (curve 2 stg2 B1=2000 sigma=362267867 thread=0)
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, Finished 2 curves using Lenstra ECM method on C199 input, B1=2K, B2=gmp-ecm default
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, scheduled 28 curves at B1=2000 toward target pretesting depth of 57.85
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, Finished 28 curves using Lenstra ECM method on C188 input, B1=2K, B2=gmp-ecm default
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
10/04/24 18:52:59 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 57.85
10/04/24 18:53:00 v1.34.5 @ RYZEN-9, prp19 = 1754679608978250527 (curve 15 stg2 B1=11000 sigma=2335494377 thread=0)
10/04/24 18:53:00 v1.34.5 @ RYZEN-9, Finished 15 curves using Lenstra ECM method on C188 input, B1=11K, B2=gmp-ecm default
10/04/24 18:53:00 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 16.19
10/04/24 18:53:00 v1.34.5 @ RYZEN-9, scheduled 59 curves at B1=11000 toward target pretesting depth of 52.31
10/04/24 18:53:01 v1.34.5 @ RYZEN-9, Finished 59 curves using Lenstra ECM method on C170 input, B1=11K, B2=gmp-ecm default
10/04/24 18:53:01 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
10/04/24 18:53:01 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 52.31
10/04/24 18:53:39 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c210: 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004
10/04/24 18:53:39 v1.34.5 @ RYZEN-9, nfs: input divides 17*10^208 + 4
10/04/24 18:53:39 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 30637889861274169844868289514252231622125392435531223172390930950249748760039245317993666504772505067754356550554984046846886290490465633240806220398902015984443238488811
10/04/24 18:53:39 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c170: 30637889861274169844868289514252231622125392435531223172390930950249748760039245317993666504772505067754356550554984046846886290490465633240806220398902015984443238488811
10/04/24 18:53:39 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 30637889861274169844868289514252231622125392435531223172390930950249748760039245317993666504772505067754356550554984046846886290490465633240806220398902015984443238488811
# 17*10^208+4, difficulty: 212.23, anorm: 1.30e+032, rnorm: 2.31e+047
# scaled difficulty: 214.77, suggest sieving rational side
# size = 1.339e-014, alpha = 0.782, combined = 5.717e-012, rroots = 1
type: snfs
size: 212
skew: 0.1881
c5: 4250
c0: 1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 30637889861274169844868289514252231622125392435531223172390930950249748760039245317993666504772505067754356550554984046846886290490465633240806220398902015984443238488811
# 17*10^208+4, difficulty: 210.63, anorm: 5.83e+031, rnorm: 5.16e+047
# scaled difficulty: 213.29, suggest sieving rational side
# size = 1.224e-014, alpha = 1.050, combined = 5.325e-012, rroots = 1
type: snfs
size: 210
skew: 0.9404
c5: 34
c0: 25
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
n: 30637889861274169844868289514252231622125392435531223172390930950249748760039245317993666504772505067754356550554984046846886290490465633240806220398902015984443238488811
# 17*10^208+4, difficulty: 210.63, anorm: 8.25e+037, rnorm: 5.43e+040
# scaled difficulty: 210.63, suggest sieving algebraic side
# size = 1.352e-010, alpha = 0.661, combined = 4.167e-012, rroots = 0
type: snfs
size: 210
skew: 0.8464
c6: 68
c0: 25
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
10/04/24 18:53:41 v1.34.5 @ RYZEN-9, test: fb generation took 1.8438 seconds
10/04/24 18:53:41 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 22600000-22602000
skew: 0.1881
c5: 4250
c0: 1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/04/24 18:56:49 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/04/24 18:56:50 v1.34.5 @ RYZEN-9, test: fb generation took 1.6876 seconds
10/04/24 18:56:50 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.9404
c5: 34
c0: 25
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
10/04/24 18:59:57 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/04/24 18:59:59 v1.34.5 @ RYZEN-9, test: fb generation took 2.4688 seconds
10/04/24 18:59:59 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the algebraic side over range 21400000-21402000
skew: 0.8464
c6: 68
c0: 25
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
10/04/24 19:03:15 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/04/24 19:03:15 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 30637889861274169844868289514252231622125392435531223172390930950249748760039245317993666504772505067754356550554984046846886290490465633240806220398902015984443238488811
# 17*10^208+4, difficulty: 210.63, anorm: 5.83e+031, rnorm: 5.16e+047
# scaled difficulty: 213.29, suggest sieving rational side
# size = 1.224e-014, alpha = 1.050, combined = 5.325e-012, rroots = 1
type: snfs
size: 210
skew: 0.9404
c5: 34
c0: 25
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
10/06/24 03:45:14 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/06/24 03:47:20 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22123916
10/06/24 05:43:02 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/06/24 05:45:16 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23332310
10/06/24 07:38:44 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/06/24 07:41:03 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24519286
10/06/24 09:48:00 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/06/24 09:50:26 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 25826966
10/06/24 12:09:09 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/06/24 12:11:39 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 27244817
10/06/24 14:31:45 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/06/24 14:36:30 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
10/06/24 20:28:00 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
10/06/24 20:35:06 v1.34.5 @ RYZEN-9, prp105 = 351642306926811364809961252529595655965651925275618110512370742552914568697132287019195385445636193481699
10/06/24 20:35:07 v1.34.5 @ RYZEN-9, prp65 = 87127996995113983914860617397068354814159459191384956736219462489
10/06/24 20:35:07 v1.34.5 @ RYZEN-9, NFS elapsed time = 175288.0610 seconds.
10/06/24 20:35:07 v1.34.5 @ RYZEN-9,
10/06/24 20:35:07 v1.34.5 @ RYZEN-9,
10/04/24 19:03:15 v1.34.5 @ RYZEN-9, test: test sieving took 576.44 seconds

YAFU

1734599858316817961709050839640238044224353343039486374074359900241790749569392740661776250675497865118538650479828586840931559601443700920093351838461494973377613097799597415562120203403<187>

1819541908449618176757355060323335186919486626041554137641532298413741386316320599707497339876989627962884821794063816428714259564060708813435362565791829867188892940744321564724320009173<187>

719594995005164152317095883916628570461048746211543996884576962801171669968337820219772777298047781107668342899713855166692064137078613636748446521393135910329997798885897631262592912412590372665549177968541<207>

2119290193146730792871855235831164719433<40>

339545286120871698512445971742973688919968889349215391957674235981384335843472657019408629703613162515875687589198058000747729331386783856355592306666565577144004503477<168>

Resuming ECM residue saved by @ec3345abc87d with GMP-ECM 7.0.5-dev on Tue Sep 20 13:40:49 2022 
Input number is 719594995005164152317095883916628570461048746211543996884576962801171669968337820219772777298047781107668342899713855166692064137078613636748446521393135910329997798885897631262592912412590372665549177968541 (207 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3698381778
Step 1 took 0ms
Step 2 took 5127ms
********** Factor found in step 2: 2119290193146730792871855235831164719433
Found prime factor of 40 digits: 2119290193146730792871855235831164719433
Composite cofactor 339545286120871698512445971742973688919968889349215391957674235981384335843472657019408629703613162515875687589198058000747729331386783856355592306666565577144004503477 has 168 digits

78809363724129503055620663988660327226984861523600634332600332262613926772159074822603659406662224551846793512503447402037911383865707839904638785886425802112696537500906592787290373635988927087095199799<203>

53102769600212760067879494230432852691572866144328056523<56>
1484091400833709955279618978258493892885073044765864154414130212893485666893553011580299718749894770928766379304803461805280081820638688068537955013<148>

Resuming ECM residue saved by @5d140cb1d393 with GMP-ECM 7.0.5-dev on Wed Mar 20 17:45:38 2024 
Input number is 78809363724129503055620663988660327226984861523600634332600332262613926772159074822603659406662224551846793512503447402037911383865707839904638785886425802112696537500906592787290373635988927087095199799 (203 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:1328626879
Step 1 took 0ms
Step 2 took 27774ms
********** Factor found in step 2: 53102769600212760067879494230432852691572866144328056523
Found prime factor of 56 digits: 53102769600212760067879494230432852691572866144328056523
Prime cofactor 1484091400833709955279618978258493892885073044765864154414130212893485666893553011580299718749894770928766379304803461805280081820638688068537955013 has 148 digits

172068450059625447545661473875446312246810099005688733811936768111938012951141958117202763039786849441892266939827503801341882764739804738298990332030356547781<159>

20601736922959879780504274510957913619429579<44>
8352133157659220195897280102900582801877609719989986509725614880802464585781933769588168767265519948769351229489839<115>

Resuming ECM residue saved by @a165ff10d438 with GMP-ECM 7.0.5-dev on Sat Jan 20 20:20:36 2024
Input number is 172068450059625447545661473875446312246810099005688733811936768111938012951141958117202763039786849441892266939827503801341882764739804738298990332030356547781 (159 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1230591271
Step 1 took 0ms
Step 2 took 7028ms
********** Factor found in step 2: 20601736922959879780504274510957913619429579
Found prime factor of 44 digits: 20601736922959879780504274510957913619429579
Prime cofactor 8352133157659220195897280102900582801877609719989986509725614880802464585781933769588168767265519948769351229489839 has 115 digits

37465138675170553295777696608668439040504780798430027640449839422604312663140320780698871517744748909945446804024934908947253935584699396595395592873510270117303833845755360267143665836461453<191>

202380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381<216>

5315686961335354466644668305103511325298142863235282898659598797688270918592241609790497439498134179623190188497723102083093274413192058144482972248932497680857373448703515301283829797253988492381199<199>

3193976443276381937138372045478677461<37>
1664284961313778908508532638299044624414900874501896029462546058256906279540810949107784211606202726727331513976217569642176230201802962970134556063657730885951059<163>

GPU: factor 3193976443276381937138372045478677461 found in Step 1 with curve 829 (-sigma 3:-1050393652)
Computing 1792 Step 1 took 245ms of CPU time / 175361ms of GPU time
Throughput: 10.219 curves per second (on average 97.86ms per Step 1)
********** Factor found in step 1: 3193976443276381937138372045478677461
Found prime factor of 37 digits: 3193976443276381937138372045478677461
Prime cofactor 1664284961313778908508532638299044624414900874501896029462546058256906279540810949107784211606202726727331513976217569642176230201802962970134556063657730885951059 has 163 digits
Peak memory usage: 9428MB

2559354334517759901123951248907563651329819518336714195905131577589469047001710489325148408309503235463993087137745899398227747530080512852312989907278439929347803584440429468710247599016487636953127<199>

2007569997937908103572607045582310734928134548922942750108249343295760207355905247100520887299538636632199323776550324120191041897092093980693282404211484985361239510436767820301902271791970021<193>

62171020613548637233541280171110779627564879<44>
32291089612584031546941228175902314532259935948937810134365156877251419067597874899876356030496742424312257619450626215421896473087293402796366793099<149>

Resuming ECM residue saved by @510793d706ca with GMP-ECM 7.0.5-dev on Fri Mar 15 14:10:25 2024 
Input number is 2007569997937908103572607045582310734928134548922942750108249343295760207355905247100520887299538636632199323776550324120191041897092093980693282404211484985361239510436767820301902271791970021 (193 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:2617421199
Step 1 took 0ms
Step 2 took 25167ms
********** Factor found in step 2: 62171020613548637233541280171110779627564879
Found prime factor of 44 digits: 62171020613548637233541280171110779627564879
Prime cofactor 32291089612584031546941228175902314532259935948937810134365156877251419067597874899876356030496742424312257619450626215421896473087293402796366793099 has 149 digits

73566905314335082071755444476983379995006946933867344258893379559553156373391677195998881758785438245690128550622783808633286816591590869727233835637738332935612976891831704515701608656289217639438851<200>

4436299964005049535624634194935362777677101618641090882175523009464616554665719245298621571672058803095525017607466658039251266826941587<136>

6704166253264126882527035628481612867427799893<46>
661722844633380356531963452330353874811803464984536674814167016987174595032164360072460359<90>

n: 443629.....941587
skew: 368056.015
c0: 212606709190789773073268344637340
c1: 1515913688105603873187907356
c2: -18536937473758567899855
c3: -23476370057638399
c4: 76790200610
c5: 25200
Y0: -274687043452120758847737527
Y1: 11484209360166716381
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=4.698e+13) = 2.104e-06
# f(x) = 25200*x^5+76790200610*x^4-23476370057638399*x^3-18536937473758567899855*x^
      2+1515913688105603873187907356*x+212606709190789773073268344637340
# g(x) = 11484209360166716381*x-274687043452120758847737527
Factors: 
  661722844633380356531963452330353874811803464984536674814167016987174595032164360072460359 
        6704166253264126882527035628481612867427799893
Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 544144/78812.1, (21.89 hours).

CADO-NFS v3.0.0

Ubuntu 20.04.4, Intel Xeon E5-1620 3.6 GHz.

27297969847316775839246918250052042732860111546039163604078246211949869598570535315409623337770447212544225993163784007854636088385051679962507174743537115654841309369960907<173>

14043805364965055079620549022841653069093570804650006758406064167128735664139460063946731691252417870694737113446222923082680722370967425554002911953730962940648606334544209675487<179>

71851992634103172811583728916082734040199477<44>
195454640158433570142515101744927076773869909383669108920967333528164287930382472405754451841868343098695239204188005372736339635672131<135>

Resuming ECM residue saved by @f382d02a086d with GMP-ECM 7.0.5-dev on Mon Jan 22 05:02:09 2024 
Input number is 14043805364965055079620549022841653069093570804650006758406064167128735664139460063946731691252417870694737113446222923082680722370967425554002911953730962940648606334544209675487 (179 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1142104462
Step 1 took 0ms
Step 2 took 8054ms
********** Factor found in step 2: 71851992634103172811583728916082734040199477
Found prime factor of 44 digits: 71851992634103172811583728916082734040199477
Prime cofactor 195454640158433570142515101744927076773869909383669108920967333528164287930382472405754451841868343098695239204188005372736339635672131 has 135 digits

128224754655357888915187459418155106833107221578973297869800080283109206408226042061189387060012969802439785393075475409539754239730902362567467931693870612693911870403537526774332819295256237693<195>

50695662970882464931085371202364429335126307356269639311043676910425925757397442748111199245033545326012497762674642730798793382587233364866298988844220879797313351791913857718614114907<185>

413523805788863742347487560853973499987357329700451174594156157149749787678496331723958443062741544847787378319937137629342591524780357115743995267546491701609313299672197595498445629732601<189>

2428284993241843911324068729829214541611729322407317656546576030842535046824062203383318429344167879739586503731327488374416683685173136335075316006226616548024846377293852820980150610559<187>

3081266213880962263381692345936140631838956434713905752649434055865382790921542800745576897533196525109745927208267422658076131069066185713322497640476779504807694779<166>

169939676727301425491982923302519111909329825755748110454675286623209057956243104467238049337062200953445835869494965664842624555622584353961300402937627658433366158702265262302716313389753115130545822200185083<210>

137540453074433656957928802588996763754045307443365695792880258899676375404530744336569579288025889967637540453074433656957928802588996763754045307443365695792880258899676375404530744336569579288025889967637540453074433656957928802589<234>

4372673323051145541311097696925622261835870288474263443765972522868491006612750245690040955203004819623193474666848977167247325219697811995889053909119288140068578749650602411370182436617955135655198215667274133586501001297903<226>

24149257721724813425311801927109529887577265902740564611326575213232584498027879529728046306530358972664011403340300108137032361640873962743245273608080790224663653520321298081011375005232841<191>

3521389968187999668358291315089709601112561646125077861233140342931575550940721703997549194124673527863417829633801906369372420506103033183535304385240944977176652175108840733295159977265982236169397670626925818968855924072927<226>

1296225300426900365413537045051606541637349100312893537813636961147705330474927800250766221649646465986590625515630799655112571829943780421264072813092546521526032321454114691844546902158779364459210229749072131430535591144310745158751<235>

164218308132194217303563216813793215573<39>

7893305656172337387972883210479323957158694808446970279002827790374259402113956373816538134275656855392687422523892050539228074530679164103610606843723748559646815966739260566567080911092076284387<196>

Resuming ECM residue saved by @a165ff10d438 with GMP-ECM 7.0.5-dev on Sun Jan 21 01:02:18 2024
Input number is 1296225300426900365413537045051606541637349100312893537813636961147705330474927800250766221649646465986590625515630799655112571829943780421264072813092546521526032321454114691844546902158779364459210229749072131430535591144310745158751 (235 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2048973057
Step 1 took 0ms
Step 2 took 11284ms
********** Factor found in step 2: 164218308132194217303563216813793215573
Found prime factor of 39 digits: 164218308132194217303563216813793215573
Composite cofactor 7893305656172337387972883210479323957158694808446970279002827790374259402113956373816538134275656855392687422523892050539228074530679164103610606843723748559646815966739260566567080911092076284387 has 196 digits

187194157780449882618251650612014781731612027995436867118575386390764500940375357320612939741099468368591903522333364165312261878019882221840492959297383245902650228817329333985209459251135277509833198993996573245770513176266423534489973<237>

141666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<243>

456989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827957<243>

1392722918810219236633220123354369924292513489392182363050933581598471664332002656439262541584990758798145568457032490749568461221261626259914819360650388149073016590687998524283986839047<187>

528018439870545647713016327808322089207649<42>
2637640683820953872222830703166300519855796162642881191138056965229082024572893584310645804611463377626132052554030480989202986773407450857868903<145>

Resuming ECM residue saved by @ec3345abc87d with GMP-ECM 7.0.5-dev on Tue Sep 20 16:20:43 2022 
Input number is 1392722918810219236633220123354369924292513489392182363050933581598471664332002656439262541584990758798145568457032490749568461221261626259914819360650388149073016590687998524283986839047 (187 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3244385104
Step 1 took 0ms
Step 2 took 4615ms
********** Factor found in step 2: 528018439870545647713016327808322089207649
Found prime factor of 42 digits: 528018439870545647713016327808322089207649
Prime cofactor 2637640683820953872222830703166300519855796162642881191138056965229082024572893584310645804611463377626132052554030480989202986773407450857868903 has 145 digits

3508770264328069267248849320178168870243727903272778292552221993178827867217672249519643864429573943760337789384191807296250557183064726361210377666151562897114777096444472009148272240972347804159377951265191430574995320610907<226>

9045391697567695875162182548333122936311752283<46>

387906945508128402096894103180681155845538546371674566947106460922873573041819827973751251503363791378201978831745010175208910080095137098169847241059583139992982683925983134780929<180>

Resuming ECM residue saved by @53aefaf73004 with GMP-ECM 7.0.5-dev on Sun Feb  4 19:42:32 2024 
Input number is 3508770264328069267248849320178168870243727903272778292552221993178827867217672249519643864429573943760337789384191807296250557183064726361210377666151562897114777096444472009148272240972347804159377951265191430574995320610907 (226 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:245227350
Step 1 took 0ms
Step 2 took 9858ms
********** Factor found in step 2: 9045391697567695875162182548333122936311752283
Found prime factor of 46 digits: 9045391697567695875162182548333122936311752283
Composite cofactor 387906945508128402096894103180681155845538546371674566947106460922873573041819827973751251503363791378201978831745010175208910080095137098169847241059583139992982683925983134780929 has 180 digits

40027739129033504620976443449483566347988411621045357088826422384061749182626503266466006197669087742113313368250519096203035536089956137038364911499280974658306501327051408209297494435885258046449111477903336475934678082653212599500365283729<242>

1405085581384026199269770202907713023<37>

28487758795165843271972866834621817422892013056974378928514869203902603396225404694490958379251434199679387083163018926867436181527760726835952883331939619305586622521706851911937874995790788379795107725423<206>

GPU: factor 1405085581384026199269770202907713023 found in Step 1 with curve 1371 (-sigma 3:503869482)
Computing 1792 Step 1 took 408ms of CPU time / 267760ms of GPU time
Throughput: 6.693 curves per second (on average 149.42ms per Step 1)
********** Factor found in step 1: 1405085581384026199269770202907713023
Found prime factor of 37 digits: 1405085581384026199269770202907713023
Composite cofactor 28487758795165843271972866834621817422892013056974378928514869203902603396225404694490958379251434199679387083163018926867436181527760726835952883331939619305586622521706851911937874995790788379795107725423 has 206 digits
Peak memory usage: 9428MB

92988863028525361080606173683294043206426726569074591218028867442049142432901316684883041304144384449361171430804537986082286306979281994635352351610261520143584937023162473985617<179>

7033527766170730368707661347390789836262528599<46>
13220799877378086836279535487340353293718591033464550166030076654974013717827387237297085495684119281313553861298592967757891841548183<134>

Resuming ECM residue saved by @eaaaeb711564 with GMP-ECM 7.0.5-dev on Sat Mar 16 09:02:58 2024 
Input number is 92988863028525361080606173683294043206426726569074591218028867442049142432901316684883041304144384449361171430804537986082286306979281994635352351610261520143584937023162473985617 (179 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:2282160368
Step 1 took 0ms
Step 2 took 23752ms
********** Factor found in step 2: 7033527766170730368707661347390789836262528599
Found prime factor of 46 digits: 7033527766170730368707661347390789836262528599
Prime cofactor 13220799877378086836279535487340353293718591033464550166030076654974013717827387237297085495684119281313553861298592967757891841548183 has 134 digits

26774581965774310169117898545338221779809529655832530521117720736914362482367126553816402609124423479463772784169143488745795863014611166574395157310969388103846595832714604243612484053925217660184149778851087820080756297143857063245285845027573<245>

1381795590735158185647507308811516458023627988349726126243016971011753397025335981364607638048361143288135466334900359970792583159848687207867316951982712278994814319223310543642026875567601422355311982536427133<211>

288727935852696066728464659267485881<36>
4785804971224281123179264949596788418798934350434648769487074844533456747119912270185920523106888804010470545415616763935188905026297862883679259046144955125936527372420344293<175>

Resuming ECM residue saved by @ec3345abc87d with GMP-ECM 7.0.5-dev on Tue Sep 20 15:51:00 2022 
Input number is 1381795590735158185647507308811516458023627988349726126243016971011753397025335981364607638048361143288135466334900359970792583159848687207867316951982712278994814319223310543642026875567601422355311982536427133 (211 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4087514195
Step 1 took 0ms
Step 2 took 5173ms
********** Factor found in step 2: 288727935852696066728464659267485881
Found prime factor of 36 digits: 288727935852696066728464659267485881
Prime cofactor 4785804971224281123179264949596788418798934350434648769487074844533456747119912270185920523106888804010470545415616763935188905026297862883679259046144955125936527372420344293 has 175 digits

506887394719767667410133667031287256842142548111738935637546655588058965918794830740648151081456015237022318054213131356414599542574952250698319941748274029221732106415951517321409547600214564477792562420850111<210>

38020286259594897636219447069456620340276513386816464948607922005444543909474766409030453253160846505992448632179364381699615502642349304032942993777626576016735883539401235929776322265872178101754683264267012554407<215>

2064857559146207417206198840704727957<37>

18413031006030172335916619273617295964377520064932642587291407983007761578127068316834266744134794508900522862165148740176217221323673449445456941028759902996339557742935582859851<179>

Resuming ECM residue saved by @ec3345abc87d with GMP-ECM 7.0.5-dev on Tue Sep 20 13:37:54 2022 
Input number is 38020286259594897636219447069456620340276513386816464948607922005444543909474766409030453253160846505992448632179364381699615502642349304032942993777626576016735883539401235929776322265872178101754683264267012554407 (215 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4186621897
Step 1 took 0ms
Step 2 took 5453ms
********** Factor found in step 2: 2064857559146207417206198840704727957
Found prime factor of 37 digits: 2064857559146207417206198840704727957
Composite cofactor 18413031006030172335916619273617295964377520064932642587291407983007761578127068316834266744134794508900522862165148740176217221323673449445456941028759902996339557742935582859851 has 179 digits

202380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381<258>

2130556755835527737637036509158413381243239111104622942355057341665404206724380934726242442290015913479870158177669025786731327379696082953121054051559604293610724303905294090869628046401191934915245677207338840241865734743<223>

1934853712243793898672366663756191423755002103322563118103529779121789385127573486893521754213584422167707301558364413799032499391807189287225796686145544640355287581199721204424674458245171723934944864340326946299282471109936662495440744856945998947649<253>

1588958785612991395834309215154144075032785996230993097827252117705895720237913151595556897551086555964629113172992043579461052018185796969231403293118902212475798716955901540752850883232727819261508614665813676556385264571614316211883597<238>

14166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<263>

79087896334768013198555582912176914071663226911504843522044468593882366777213729816644511298734837298067744963884468762707658785045259886435221012928557504809470018532471058742395775980072287173730287568766579828496861<218>

202380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381<264>

133394342828545851690968203665494526599440193<45>

1517162932772016122429118612181052602078763573717507379681368484005513636098103806536816549554856842360746255729873240984185618179239078586420796867000140464317646902145184899874102076951566340338307709788525420735038717<220>

Resuming ECM residue saved by @f382d02a086d with GMP-ECM 7.0.5-dev on Mon Jan 22 05:18:33 2024 
Input number is 202380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381 (264 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3810798625
Step 1 took 0ms
Step 2 took 12206ms
********** Factor found in step 2: 133394342828545851690968203665494526599440193
Found prime factor of 45 digits: 133394342828545851690968203665494526599440193
Composite cofactor 1517162932772016122429118612181052602078763573717507379681368484005513636098103806536816549554856842360746255729873240984185618179239078586420796867000140464317646902145184899874102076951566340338307709788525420735038717 has 220 digits

1517162932772016122429118612181052602078763573717507379681368484005513636098103806536816549554856842360746255729873240984185618179239078586420796867000140464317646902145184899874102076951566340338307709788525420735038717<220>

202671516332988373330805939174796209694360445367<48>

7485822182725096755874789526530357086501761252936734954793584371171415935545440960817712403351316102841505207489610207519284908322887675743037147391166096701007815509475051<172>

Resuming ECM residue saved by @7eb0405a0f8d with GMP-ECM 7.0.5-dev on Mon Feb  5 16:54:06 2024 
Input number is 1517162932772016122429118612181052602078763573717507379681368484005513636098103806536816549554856842360746255729873240984185618179239078586420796867000140464317646902145184899874102076951566340338307709788525420735038717 (220 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:4037972199
Step 1 took 0ms
Step 2 took 9585ms
********** Factor found in step 2: 202671516332988373330805939174796209694360445367
Found prime factor of 48 digits: 202671516332988373330805939174796209694360445367
Composite cofactor 7485822182725096755874789526530357086501761252936734954793584371171415935545440960817712403351316102841505207489610207519284908322887675743037147391166096701007815509475051 has 172 digits

62408223201174743024963289280469897209985315712187958883994126284875183553597650513950073421439060205580029368575624082232011747430249632892804698972099853157121879588839941262848751835535976505139500734214390602055800293685756240822320117474302496328928046989721<263>

837044771367101908005315016584150814849<39>
6689897731785749819193306164071494384023<40>

11144835214261819733735575181800650033904998602996881711176525031474340424979317283565005037908559884374564491713651296675947504259188764541610619607152811354353671366213984568852335823<185>

Resuming ECM residue saved by @a1b4107a7562 with GMP-ECM 7.0.5-dev on Sun Jan 21 10:59:53 2024
Input number is 62408223201174743024963289280469897209985315712187958883994126284875183553597650513950073421439060205580029368575624082232011747430249632892804698972099853157121879588839941262848751835535976505139500734214390602055800293685756240822320117474302496328928046989721 (263 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3654156304
Step 1 took 0ms
Step 2 took 13065ms
********** Factor found in step 2: 837044771367101908005315016584150814849
Found prime factor of 39 digits: 837044771367101908005315016584150814849
Composite cofactor 74557807821016098931194064981579301142176289537208182366320373745171976462291870269737136292138598398864716115148635039602352411407044114470782390290579402456892672587885879691476885190313934197425546637742437953710121755929 has 224 digits

Resuming ECM residue saved by @a1b4107a7562 with GMP-ECM 7.0.5-dev on Sun Jan 21 10:59:53 2024
Input number is 74557807821016098931194064981579301142176289537208182366320373745171976462291870269737136292138598398864716115148635039602352411407044114470782390290579402456892672587885879691476885190313934197425546637742437953710121755929 (224 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3654156328
Step 1 took 0ms
Step 2 took 10607ms
********** Factor found in step 2: 6689897731785749819193306164071494384023
Found prime factor of 40 digits: 6689897731785749819193306164071494384023
Composite cofactor 11144835214261819733735575181800650033904998602996881711176525031474340424979317283565005037908559884374564491713651296675947504259188764541610619607152811354353671366213984568852335823 has 185 digits

2849988032074919931620330111088651244808428010159074209010963460013734881567263920783606001733092008067985331404591421996619109652905349803337718813077427493102058294217991685652722399773888600892385681090893519<211>

25357009238489216979552173379988559752721309756708326562266072267345069881739741659329392305193001534659896309401859356101290500535847302405311602531541181062786478642712920285790557893402199867920410278557366596908639298315589960025241739257668602468482773853<260>

2632105596112864320680393144995211628979507300165142477406618097872773291743058941952303095217206960831300494812539587566658581434576736156641316274509891025814341229658360441547515180579106830611058937271704260676719899066985551183<232>

1773335393948606261180280436152002114955519289005536797953652978467455009808943109819359954792214528740652802896574605038455296043732143814180300460928260176885376704418636326028705994895961383245118253404647350133295915935011725866175885540889944253991<253>

2884694394892622672845514840131635635010539810332555432368541495205835513835903354426371768945071714433503128123820036080360361081711652584181069069619858974150694651906816565408490228054673954112297796597010368654302453353<223>

20173427408681276436659160721918291865810895338648109015398344515665096472262632578738669476351388341889492263825128277782637675837356336822059657458956556951210281814814289630293582739029609994554360951759220499320417253556175441634878149<239>

1160945701391872830830187888235081509037<40>

17376719156197480342260124602149480343525950498946075974643848821291569222695124195952354119400871217477738897442595791912523800192805961479783821875732130973572071113333160301159480073867534673177977<200>

Resuming ECM residue saved by @a165ff10d438 with GMP-ECM 7.0.5-dev on Sat Jan 20 22:20:08 2024
Input number is 20173427408681276436659160721918291865810895338648109015398344515665096472262632578738669476351388341889492263825128277782637675837356336822059657458956556951210281814814289630293582739029609994554360951759220499320417253556175441634878149 (239 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2057610912
Step 1 took 0ms
Step 2 took 10927ms
********** Factor found in step 2: 1160945701391872830830187888235081509037
Found prime factor of 40 digits: 1160945701391872830830187888235081509037
Composite cofactor 17376719156197480342260124602149480343525950498946075974643848821291569222695124195952354119400871217477738897442595791912523800192805961479783821875732130973572071113333160301159480073867534673177977 has 200 digits

2729453585506599863105714552692077041200881005837985739519838658465299094053124807833402328245922604189446812729228195385758265955800050182568628111613560202450409043920614165812667891419899486697342230881836776843924259897609053429917426228003188227054492803297747<265>

202380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381<276>

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