2665483858204588380572787492216995374969024162194692771749202957854118901404168566865120269547055160939<103>

1522922036698943725658641973395951636706057779039<49>
1750243147037414668136005991453729940077360003442602101<55>

N=2665483858204588380572787492216995374969024162194692771749202957854118901404168566865120269547055160939
  ( 103 digits)
SNFS difficulty: 108 digits.
Divisors found:
 r1=1522922036698943725658641973395951636706057779039 (pp49)
 r2=1750243147037414668136005991453729940077360003442602101 (pp55)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.17 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2665483858204588380572787492216995374969024162194692771749202957854118901404168566865120269547055160939
m: 400000000000000000000000000
deg: 4
c4: 50
c0: 7
skew: 0.61
# Murphy_E = 1.339e-07
type: snfs
lss: 1
rlim: 440000
alim: 440000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 440000/440000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [220000, 400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 41047 x 41272
Total sieving time: 0.17 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,108.000,4,0,0,0,0,0,0,0,0,440000,440000,25,25,44,44,2.2,2.2,20000
total time: 0.17 hours.
 --------- CPU info (if available) ----------

4128739829485730841042991396479625636071165899832257598143534843689194050976073019512579578225603324101984874663646127<118>

21762583556297321384344407843742530671<38>
189717356802107242137240799175737900810897110823162690574982245367535823167110337<81>

p38:21762583556297321384344407843742530671
p81:189717356802107242137240799175737900810897110823162690574982245367535823167110337

ECM

16355190604105100464819090606518948972659841233392678989939964286300628893647639181736804958118849004740713<107>

1743576254305689362090857437675696563018401<43>
9380255416828850761693941481074375522434637438662444767797901513<64>

16355190604105100464819090606518948972659841233392678989939964286300628893647639181736804958118849004740713=1743576254305689362090857437675696563018401*9380255416828850761693941481074375522434637438662444767797901513

cado polynomial
n: 16355190604105100464819090606518948972659841233392678989939964286300628893647639181736804958118849004740713
skew: 3069.897
c0: 219645373966275511154250
c1: -40846595139150064745
c2: -58216663484513823
c3: -17337300722134
c4: 3116804160
c5: 967680
Y0: -235730332683401284061
Y1: 13692914333546129
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.807e-06
# f(x) = 967680*x^5+3116804160*x^4-17337300722134*x^3-58216663484513823*x^2-40846595139150064745*x+219645373966275511154250
# g(x) = 13692914333546129*x-235730332683401284061

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1743576254305689362090857437675696563018401 9380255416828850761693941481074375522434637438662444767797901513
Info:Square Root: Total cpu/real time for sqrt: 192.19/65.327
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9860/31.310/37.649/43.190/1.097
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7601/29.700/33.363/38.090/0.882
Info:Polynomial Selection (size optimized): Total time: 492
Info:Quadratic Characters: Total cpu/real time for characters: 8.49/4.1805
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 65.24/89.9399
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 70.7s
Info:Square Root: Total cpu/real time for sqrt: 192.19/65.327
Info:Generate Free Relations: Total cpu/real time for freerel: 62.26/20.4739
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.4/23.8294
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 36.94/55.0717
Info:Filtering - Merging: Merged matrix has 229866 rows and total weight 33483730 (145.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 32.07/12.0135
Info:Filtering - Merging: Total cpu/real time for replay: 7.26/5.96743
Info:Generate Factor Base: Total cpu/real time for makefb: 1.48/0.733293
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4948657
Info:Lattice Sieving: Average J: 1900.06 for 56303 special-q, max bucket fill -bkmult 1.0,1s:1.339000
Info:Lattice Sieving: Total time: 6801.8s
Info:Linear Algebra: Total cpu/real time for bwc: 1925.77/742.26
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 361.45, WCT time 178.65, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (7296 iterations)
Info:Linear Algebra: Lingen CPU time 1347.07, WCT time 455.78
Info:Linear Algebra: Mksol: CPU time 200.41,  WCT time 99.12, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (3712 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 165.2
Info:Polynomial Selection (root optimized): Rootsieve time: 164.55
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12392.5/4595.92
Info:root: Cleaning up computation data in /tmp/cado.1x3sdrri
1743576254305689362090857437675696563018401 9380255416828850761693941481074375522434637438662444767797901513

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)

1171604338231188656673247787910324671699073425725319193533476305675233108074092990602451765140926610887316376191169215363760264123553<133>

1416516239560498193344931336109761819<37>
827102651922085811372132876069268292877248005691966927276872702261259643951975025360009028588787<96>

Number: n
N=1171604338231188656673247787910324671699073425725319193533476305675233108074092990602451765140926610887316376191169215363760264123553  ( 133 digits)
SNFS difficulty: 138 digits.
Divisors found:

Sat Nov 26 19:11:18 2022  p37 factor: 1416516239560498193344931336109761819
Sat Nov 26 19:11:18 2022  p96 factor: 827102651922085811372132876069268292877248005691966927276872702261259643951975025360009028588787
Sat Nov 26 19:11:18 2022  elapsed time 00:02:50 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 64x10^137+35 = 71(136)5
#
n: 1171604338231188656673247787910324671699073425725319193533476305675233108074092990602451765140926610887316376191169215363760264123553
m: 20000000000000000000000000000000000
deg: 4
c4: 8
c0: 7
skew: 0.97
# Murphy_E = 6.837e-09
type: snfs
lss: 1
rlim: 1400000
alim: 1400000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 316365 hash collisions in 5667079 relations (6007075 unique)
Msieve: matrix is 184928 x 185155 (62.2 MB)

Sieving start time : 2022/11/26 18:49:38
Sieving end time  : 2022/11/26 19:08:05

Total sieving time: 0hrs 18min 27secs.

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

Prototype def-par.txt line would be:
snfs,138,4,0,0,0,0,0,0,0,0,1400000,1400000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

82366337749921277711190844474674900136925580308871010051166716909649874783938461380462935414039160090983<104>

3088476211397668786992006582065187495766116761318621<52>
26668924127036405074389099518410099508380506750568723<53>

82366337749921277711190844474674900136925580308871010051166716909649874783938461380462935414039160090983=3088476211397668786992006582065187495766116761318621*26668924127036405074389099518410099508380506750568723

cado polynomial
n: 82366337749921277711190844474674900136925580308871010051166716909649874783938461380462935414039160090983
skew: 2437.339
c0: -7843908075152803177293
c1: -886760781584808807
c2: 3615934021351291
c3: 556308139429
c4: -193209120
c5: 89100
Y0: -97189636266593910030
Y1: 1944723695333911
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.854e-06
# f(x) = 89100*x^5-193209120*x^4+556308139429*x^3+3615934021351291*x^2-886760781584808807*x-7843908075152803177293
# g(x) = 1944723695333911*x-97189636266593910030

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3088476211397668786992006582065187495766116761318621 26668924127036405074389099518410099508380506750568723
Info:Square Root: Total cpu/real time for sqrt: 265.69/36.1045
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9656/29.530/36.671/42.320/1.031
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7322/29.510/32.593/37.210/0.865
Info:Polynomial Selection (size optimized): Total time: 597.84
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 169.23
Info:Polynomial Selection (root optimized): Rootsieve time: 160.7
Info:Generate Factor Base: Total cpu/real time for makefb: 1.61/0.25246
Info:Generate Free Relations: Total cpu/real time for freerel: 67.96/8.55465
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4647359
Info:Lattice Sieving: Average J: 1892.31 for 38437 special-q, max bucket fill -bkmult 1.0,1s:1.191850
Info:Lattice Sieving: Total time: 6600.22s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 10.08/11.0054
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 10.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 46.52/32.9607
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 31.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 22.27/28.6287
Info:Filtering - Merging: Merged matrix has 207536 rows and total weight 30493701 (146.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 30.83/4.88701
Info:Filtering - Merging: Total cpu/real time for replay: 5.92/4.75832
Info:Linear Algebra: Total cpu/real time for bwc: 344.17/92.77
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 53.28, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6528 iterations)
Info:Linear Algebra: Lingen CPU time 16.9, WCT time 4.61
Info:Linear Algebra: Mksol: WCT time 31.4, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3328 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 8.65/2.17848
Info:Square Root: Total cpu/real time for sqrt: 265.69/36.1045
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 21346/2055.72
Info:root: Cleaning up computation data in /tmp/cado.4h2i_fn9
3088476211397668786992006582065187495766116761318621 26668924127036405074389099518410099508380506750568723

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)

71704705880637301393207506152016929889672507193606718651876166523640823181571690635792301360384173022776337849<110>

2673260433691730589919164784503445490499916999439745329<55>
26822940622217727954990499898930017152675617545474607881<56>

71704705880637301393207506152016929889672507193606718651876166523640823181571690635792301360384173022776337849=2673260433691730589919164784503445490499916999439745329*26822940622217727954990499898930017152675617545474607881

cado polynomial
n: 71704705880637301393207506152016929889672507193606718651876166523640823181571690635792301360384173022776337849
skew: 7572.308
c0: 2587993070114137025240400
c1: 795545753454473433498
c2: -247820200343373151
c3: -18002036782925
c4: 973040718
c5: 133560
Y0: -1244789226017449621089
Y1: 23479974081423631
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.550e-06
# f(x) = 133560*x^5+973040718*x^4-18002036782925*x^3-247820200343373151*x^2+795545753454473433498*x+2587993070114137025240400
# g(x) = 23479974081423631*x-1244789226017449621089

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

cado log (extracts)
Info:Square Root: Factors: 2673260433691730589919164784503445490499916999439745329 26822940622217727954990499898930017152675617545474607881
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11771/32.370/39.039/44.740/1.081
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9243/30.760/34.578/39.490/0.884
Info:Polynomial Selection (size optimized): Total time: 846.92
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 240.35
Info:Polynomial Selection (root optimized): Rootsieve time: 223.39
Info:Generate Factor Base: Total cpu/real time for makefb: 2.44/0.389232
Info:Generate Free Relations: Total cpu/real time for freerel: 63.54/7.98524
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5442796
Info:Lattice Sieving: Average J: 1898.99 for 103329 special-q, max bucket fill -bkmult 1.0,1s:1.201010
Info:Lattice Sieving: Total time: 16334.1s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 12.94/19.9086
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.299999999999997s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 113.08/90.0917
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.30000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 92.72/83.0967
Info:Filtering - Merging: Merged matrix has 303864 rows and total weight 47507025 (156.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 51.72/7.8412
Info:Filtering - Merging: Total cpu/real time for replay: 9.43/7.58687
Info:Linear Algebra: Total cpu/real time for bwc: 808.35/212.36
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 125.92, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9600 iterations)
Info:Linear Algebra: Lingen CPU time 26.4, WCT time 7.18
Info:Linear Algebra: Mksol: WCT time 73.64, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4864 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 13.98/3.38218
Info:Square Root: Total cpu/real time for sqrt: 441.6/59.358
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 42975.7/4651.08
Info:root: Cleaning up computation data in /tmp/cado._addiwmx
2673260433691730589919164784503445490499916999439745329 26822940622217727954990499898930017152675617545474607881

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)

194500997397486330510562205882736379003832287354175211932564200995675142299939839985239093471205881527141410555041723881<120>

596904538202921036119667805450922267464989<42>
325849419713013856569817075943759761269223164630714163811023307897598142432829<78>

194500997397486330510562205882736379003832287354175211932564200995675142299939839985239093471205881527141410555041723881=596904538202921036119667805450922267464989*325849419713013856569817075943759761269223164630714163811023307897598142432829

cado polynomial
n: 194500997397486330510562205882736379003832287354175211932564200995675142299939839985239093471205881527141410555041723881
skew: 5064.577
c0: 611568238029637020632640
c1: 5669838865469650982797
c2: 3486579108794413900
c3: -551541215981717
c4: -55378330020
c5: -2332800
Y0: -75505964120700610122546
Y1: 60586283367031301
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.690e-06
# f(x) = -2332800*x^5-55378330020*x^4-551541215981717*x^3+3486579108794413900*x^2+5669838865469650982797*x+611568238029637020632640
# g(x) = 60586283367031301*x-75505964120700610122546

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

cado log (extracts)
Info:Square Root: Factors: 325849419713013856569817075943759761269223164630714163811023307897598142432829 596904538202921036119667805450922267464989
Info:Square Root: Total cpu/real time for sqrt: 322.36/94.2488
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20090/34.770/42.626/47.910/1.042
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16051/34.170/37.720/43.100/0.840
Info:Polynomial Selection (size optimized): Total time: 2255.13
Info:Linear Algebra: Total cpu/real time for bwc: 3337.07/887.86
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2023.56, WCT time 543.15, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (18688 iterations)
Info:Linear Algebra: Lingen CPU time 101.76, WCT time 25.84
Info:Linear Algebra: Mksol: CPU time 1155.05,  WCT time 298.76, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9472 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 18.14/7.08124
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 133.2/113.567
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 101.9s
Info:Square Root: Total cpu/real time for sqrt: 322.36/94.2488
Info:Generate Free Relations: Total cpu/real time for freerel: 127.26/33.3042
Info:Filtering - Singleton removal: Total cpu/real time for purge: 56.89/58.8799
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.11/56.9183
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 56.7s
Info:Filtering - Merging: Merged matrix has 594283 rows and total weight 60354415 (101.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 45.14/14.6621
Info:Filtering - Merging: Total cpu/real time for replay: 14.25/11.3458
Info:Generate Factor Base: Total cpu/real time for makefb: 5.13/1.40978
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13445405
Info:Lattice Sieving: Average J: 1888.04 for 216098 special-q, max bucket fill -bkmult 1.0,1s:1.269580
Info:Lattice Sieving: Total time: 26960.1s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1649.28
Info:Polynomial Selection (root optimized): Rootsieve time: 1646.9
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 57882.6/16018.4
Info:root: Cleaning up computation data in /tmp/cado.0_wxazcr
325849419713013856569817075943759761269223164630714163811023307897598142432829 596904538202921036119667805450922267464989

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)

16263372287441621288542491431614817807358709907722345302299985658039808580329820338349800412828068516752222197067<113>

236488408780714476564411807601236971<36>
68770272383717319799017799753114710174890116921171549202828382340972524729377<77>

16263372287441621288542491431614817807358709907722345302299985658039808580329820338349800412828068516752222197067=236488408780714476564411807601236971*68770272383717319799017799753114710174890116921171549202828382340972524729377

cado polynomial
n: 16263372287441621288542491431614817807358709907722345302299985658039808580329820338349800412828068516752222197067
skew: 5376.007
c0: -2907652580384020235009256
c1: 560445860820771558592
c2: 264744022745294511
c3: -22350234685447
c4: -3999857505
c5: -643500
Y0: -3212081490652802794701
Y1: 52361171722626251
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.358e-06
# f(x) = -643500*x^5-3999857505*x^4-22350234685447*x^3+264744022745294511*x^2+560445860820771558592*x-2907652580384020235009256
# g(x) = 52361171722626251*x-3212081490652802794701

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

cado log (extracts)
Info:Square Root: Factors: 236488408780714476564411807601236971 68770272383717319799017799753114710174890116921171549202828382340972524729377
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 415.88/120.957
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 25.44/23.0121
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.400000000000002s
Info:Quadratic Characters: Total cpu/real time for characters: 15.04/6.03074
Info:Filtering - Singleton removal: Total cpu/real time for purge: 64.96/57.9898
Info:Filtering - Merging: Merged matrix has 408240 rows and total weight 63316592 (155.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 68.61/19.8812
Info:Filtering - Merging: Total cpu/real time for replay: 13.38/11.2354
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6518544
Info:Lattice Sieving: Average J: 1895.76 for 95164 special-q, max bucket fill -bkmult 1.0,1s:1.235220
Info:Lattice Sieving: Total time: 11057s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 98.98/101.166
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 70.30000000000001s
Info:Linear Algebra: Total cpu/real time for bwc: 2338.81/645.01
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1456.23, WCT time 376.48, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Linear Algebra: Lingen CPU time 46.85, WCT time 47.89
Info:Linear Algebra: Mksol: CPU time 796.92,  WCT time 205.58, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 292.12
Info:Polynomial Selection (root optimized): Rootsieve time: 291.04
Info:Generate Factor Base: Total cpu/real time for makefb: 3.99/1.08545
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 22913.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 15670/32.730/39.934/51.800/1.060
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11960/31.110/35.314/40.370/0.800
Info:Polynomial Selection (size optimized): Total time: 1652.75
Info:Generate Free Relations: Total cpu/real time for freerel: 63.03/17.0781
Info:Square Root: Total cpu/real time for sqrt: 415.88/120.957
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 25552.1/7007.75
Info:root: Cleaning up computation data in /tmp/cado.f57ed6bp
236488408780714476564411807601236971 68770272383717319799017799753114710174890116921171549202828382340972524729377

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)

3703051094307064638024239843966002312821483970513815577295278121027882860325441706145909327007355241695158759929<112>

36748134887329952673050810202492312225799272250410871883<56>
100768409217519367271931757319289208768770166678773721163<57>

3703051094307064638024239843966002312821483970513815577295278121027882860325441706145909327007355241695158759929=36748134887329952673050810202492312225799272250410871883*100768409217519367271931757319289208768770166678773721163

cado polynomial
n: 3703051094307064638024239843966002312821483970513815577295278121027882860325441706145909327007355241695158759929
skew: 10880.546
c0: -7830184229245812496415730
c1: 2674480238897662829609
c2: 167574243547412190
c3: -46324909243973
c4: -2599016184
c5: 57240
Y0: -4106636902067358851528
Y1: 269789546556811
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.349e-06
# f(x) = 57240*x^5-2599016184*x^4-46324909243973*x^3+167574243547412190*x^2+2674480238897662829609*x-7830184229245812496415730
# g(x) = 269789546556811*x-4106636902067358851528

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

cado log (extracts)
Info:Square Root: Factors: 100768409217519367271931757319289208768770166678773721163 36748134887329952673050810202492312225799272250410871883
Info:Square Root: Total cpu/real time for sqrt: 91.77/32.2406
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 12079/32.860/39.742/48.070/1.127
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9558/31.810/35.185/40.150/0.887
Info:Polynomial Selection (size optimized): Total time: 707.64
Info:Generate Free Relations: Total cpu/real time for freerel: 62.62/20.7952
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.47/152.829
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 114.60000000000001s
Info:Quadratic Characters: Total cpu/real time for characters: 11.21/5.50261
Info:Square Root: Total cpu/real time for sqrt: 91.77/32.2406
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 24.07/27.308
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 26.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 79.9/108.387
Info:Filtering - Merging: Merged matrix has 307993 rows and total weight 47864895 (155.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 49.81/18.6452
Info:Filtering - Merging: Total cpu/real time for replay: 10.13/8.48234
Info:Generate Factor Base: Total cpu/real time for makefb: 2.32/1.13803
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5661032
Info:Lattice Sieving: Average J: 1892.44 for 123081 special-q, max bucket fill -bkmult 1.0,1s:1.314680
Info:Lattice Sieving: Total time: 14732.8s
Info:Linear Algebra: Total cpu/real time for bwc: 2888.1/1081.23
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 744.9, WCT time 318.88, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (9728 iterations)
Info:Linear Algebra: Lingen CPU time 1707.22, WCT time 573.96
Info:Linear Algebra: Mksol: CPU time 410.88,  WCT time 175.44, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (4864 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 273.06
Info:Polynomial Selection (root optimized): Rootsieve time: 272.04
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 24785.9/9086.38
Info:root: Cleaning up computation data in /tmp/cado.64p0nhix
100768409217519367271931757319289208768770166678773721163 36748134887329952673050810202492312225799272250410871883

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)

61083452997706332130963156088658350782393027160190105809707273485365814093231385796070945408877504687299646415840570954782842030683005014281<140>

3564766162724030698912236434847129002304730190653871401<55>
17135332363856697050712895328905697508045962225688416398696665805572550519382810310881<86>

Number: n
N=61083452997706332130963156088658350782393027160190105809707273485365814093231385796070945408877504687299646415840570954782842030683005014281  ( 140 digits)
SNFS difficulty: 151 digits.
Divisors found:

Wed Nov 30 05:24:05 2022  p55 factor: 3564766162724030698912236434847129002304730190653871401
Wed Nov 30 05:24:05 2022  p86 factor: 17135332363856697050712895328905697508045962225688416398696665805572550519382810310881
Wed Nov 30 05:24:05 2022  elapsed time 00:04:26 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 64x10^150+35 = 71(149)5
#
n: 61083452997706332130963156088658350782393027160190105809707273485365814093231385796070945408877504687299646415840570954782842030683005014281
m: 2000000000000000000000000000000
deg: 5
c5: 2
c0: 35
skew: 1.77
# Murphy_E = 1.846e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1061055 hash collisions in 13568928 relations (13417997 unique)
Msieve: matrix is 392138 x 392385 (56.7 MB)

Sieving start time : 2022/11/30 04:59:51
Sieving end time  : 2022/11/30 05:14:14

Total sieving time: 0hrs 14min 23secs.

Total relation processing time: 0hrs 1min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 21sec.

Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3169690070676542471722889689478672375528991168702166431439920988688502867309019095014157568236126591409550703514830208975369<124>

5722429588954725087660551423933363965176661<43>
553906347191163409356583658760195855514211610824561253087357326645539122532320229<81>

3169690070676542471722889689478672375528991168702166431439920988688502867309019095014157568236126591409550703514830208975369=5722429588954725087660551423933363965176661*553906347191163409356583658760195855514211610824561253087357326645539122532320229

cado polynomial
n: 3169690070676542471722889689478672375528991168702166431439920988688502867309019095014157568236126591409550703514830208975369
skew: 56045.378
c0: 90284967827832641550171966250
c1: 111029495191407282074385
c2: -81479312596695255924
c3: 18119615966950
c4: 6600370404
c5: 168480
Y0: -451714943960112346123409
Y1: 3880897219363493
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.900e-07
# f(x) = 168480*x^5+6600370404*x^4+18119615966950*x^3-81479312596695255924*x^2+111029495191407282074385*x+90284967827832641550171966250
# g(x) = 3880897219363493*x-451714943960112346123409

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: 5722429588954725087660551423933363965176661 553906347191163409356583658760195855514211610824561253087357326645539122532320229
Info:Square Root: Total cpu/real time for sqrt: 1334.36/175.972
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): 20067/36.830/43.978/48.120/0.895
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15847/35.140/39.360/44.730/0.910
Info:Polynomial Selection (size optimized): Total time: 2727.47
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2577.64
Info:Polynomial Selection (root optimized): Rootsieve time: 2528.18
Info:Generate Factor Base: Total cpu/real time for makefb: 8.87/1.4388
Info:Generate Free Relations: Total cpu/real time for freerel: 131.58/16.5664
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11635872
Info:Lattice Sieving: Average J: 3799.76 for 174478 special-q, max bucket fill -bkmult 1.0,1s:1.134740
Info:Lattice Sieving: Total time: 80040.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.94/70.5178
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 70.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 149.34/118.816
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 113.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 71.74/66.9614
Info:Filtering - Merging: Merged matrix has 736052 rows and total weight 125295876 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 144.03/21.8059
Info:Filtering - Merging: Total cpu/real time for replay: 24.32/19.9009
Info:Linear Algebra: Total cpu/real time for bwc: 5502.56/1468.15
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 900.78, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23040 iterations)
Info:Linear Algebra: Lingen CPU time 72.63, WCT time 19.66
Info:Linear Algebra: Mksol: WCT time 523.79, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11520 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 31.88/8.11743
Info:Square Root: Total cpu/real time for sqrt: 1334.36/175.972
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 186617/22896.3
Info:root: Cleaning up computation data in /tmp/cado.rw_vmtfn
5722429588954725087660551423933363965176661 553906347191163409356583658760195855514211610824561253087357326645539122532320229

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)

39119546158286521019465774764977968662658188976216947089037431051685087415181966041818582690221664155653<104>

1494524730304790707807176865799779031<37>
26175241777570686669772281929956191248279467985620656030489649605763<68>

C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:2920884979 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 39119546158286521019465774764977968662658188976216947089037431051685087415181966041818582690221664155653 (104 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2920884979
Step 1 took 6704ms
Step 2 took 5531ms
********** Factor found in step 2: 1494524730304790707807176865799779031
Found probable prime factor of 37 digits: 1494524730304790707807176865799779031
Probable prime cofactor 26175241777570686669772281929956191248279467985620656030489649605763 has 68 digits

1591550645912205535805032274445381978173280813472796463011655907669498933356701838862006829861789134073551291691<112>

41147146481465537663567112286639372201698018250211359<53>
38679490122823197197378601039090774845474095147450303768949<59>

Number: 1
N=1591550645912205535805032274445381978173280813472796463011655907669498933356701838862006829861789134073551291691
  ( 112 digits)
Divisors found:
 r1=41147146481465537663567112286639372201698018250211359 (pp53)
 r2=38679490122823197197378601039090774845474095147450303768949 (pp59)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.51 hours.
Scaled time: 90.61 units (timescale=7.874).
Factorization parameters were as follows:
name: 1
n: 1591550645912205535805032274445381978173280813472796463011655907669498933356701838862006829861789134073551291691
skew: 76894.07
# norm 6.51e+015
c5: 9360
c4: -2957144604
c3: -138283042967890
c2: 16196034047594830424
c1: 424453339745896813545545
c0: -12493845007391058630231054450
# alpha -6.76
Y1: 1219828279373
Y0: -2793321393790880976559
# Murphy_E 8.10e-010
# M 565449242145941239809848429904690293789152727635042587120088551794333155633381939320181289306059138041893297260
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 497405 x 497630
Total sieving time: 11.39 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 11.51 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

3078168126762241673621859548274659838838336363606873916258292235583092261772145976431368255591374493<100>

110157333328491128850059993206408561<36>
27943379108343967681541152939556821433839180833485205583039391213<65>

Number: 1
N=3078168126762241673621859548274659838838336363606873916258292235583092261772145976431368255591374493
  ( 100 digits)
Divisors found:
 r1=110157333328491128850059993206408561 (pp36)
 r2=27943379108343967681541152939556821433839180833485205583039391213 (pp65)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.85 hours.
Scaled time: 22.23 units (timescale=7.794).
Factorization parameters were as follows:
name: 1
n: 3078168126762241673621859548274659838838336363606873916258292235583092261772145976431368255591374493
skew: 5640.45
# norm 5.83e+012
c5: 8400
c4: -83270215
c3: -548676169235
c2: 3647061555385232
c1: 11557489446976678573
c0: -102060207851623373484
# alpha -3.61
Y1: 25530861103
Y0: -12965948899613017073
# Murphy_E 3.44e-009
# M 1487564343363187292794978634652422475291715227787054274561510000567680662642259026277388500661171886
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 245577 x 245803
Total sieving time: 2.81 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 2.85 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

5181883561977115830695325582277779266020200861181924134382681670312344200746274407291492585721319332724649197<109>

1235001727741797182368659896030952326651<40>
4195851265287052658888640896294482343686968202027417645985298599406647<70>

Number: 1
N=5181883561977115830695325582277779266020200861181924134382681670312344200746274407291492585721319332724649197
  ( 109 digits)
Divisors found:
 r1=1235001727741797182368659896030952326651 (pp40)
 r2=4195851265287052658888640896294482343686968202027417645985298599406647 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.93 hours.
Scaled time: 69.26 units (timescale=7.758).
Factorization parameters were as follows:
name: 1
n: 5181883561977115830695325582277779266020200861181924134382681670312344200746274407291492585721319332724649197
skew: 30713.92
# norm 2.38e+015
c5: 1800
c4: -1176670270
c3: -70829770004553
c2: 1304201724842879771
c1: -8321415671294194516307
c0: 398854504563796137588879
# alpha -5.88
Y1: 19707763673
Y0: -1235503371066725814650
# Murphy_E 1.05e-009
# M 1155554251019442356382142398055109955385340782834499571300352263015435991903380812805920694164550579250125506
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 3000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 436215 x 436441
Total sieving time: 8.78 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 8.93 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

996429574744618496788852037049019619714753165227230755800540508632270821995296137309500495872036773567906352353176734629136497717267364448295693961<147>

179781776648680433623561410261600358344061<42>
5542439246730695345268696828917756861883113656575801559580118963099184936727642139266807276877261067995901<106>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 996429574744618496788852037049019619714753165227230755800540508632270821995296137309500495872036773567906352353176734629136497717267364448295693961 (147 digits)
Using B1=25310000, B2=96190324246, polynomial Dickson(12), sigma=1:3622870133
Step 1 took 50107ms
Step 2 took 17715ms
********** Factor found in step 2: 179781776648680433623561410261600358344061
Found prime factor of 42 digits: 179781776648680433623561410261600358344061
Prime cofactor 5542439246730695345268696828917756861883113656575801559580118963099184936727642139266807276877261067995901 has 106 digits

383034601539675514305026821226451879583934464929849642341576003987667500081188170257954146894110134031849893806512498724726051614860388828664233124921703<153>

75207085466831704627414018707160176857141191913412928879<56>
5093065356303480346872177628331438417479359983493733283199770601275482975025444713091860824856457<97>

Number: n
N=383034601539675514305026821226451879583934464929849642341576003987667500081188170257954146894110134031849893806512498724726051614860388828664233124921703  ( 153 digits)
SNFS difficulty: 170 digits.
Divisors found:

Sun Dec  4 00:38:59 2022  p56 factor: 75207085466831704627414018707160176857141191913412928879
Sun Dec  4 00:38:59 2022  p97 factor: 5093065356303480346872177628331438417479359983493733283199770601275482975025444713091860824856457
Sun Dec  4 00:38:59 2022  elapsed time 00:09:12 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.305).
Factorization parameters were as follows:
#
# N = 64x10^169+35 = 71(168)5
#
n: 383034601539675514305026821226451879583934464929849642341576003987667500081188170257954146894110134031849893806512498724726051614860388828664233124921703
m: 4000000000000000000000000000000000
deg: 5
c5: 125
c0: 7
skew: 0.56
# Murphy_E = 2.979e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1319608 hash collisions in 13383179 relations (12899081 unique)
Msieve: matrix is 609367 x 609592 (210.5 MB)

Sieving start time : 2022/12/03 23:50:36
Sieving end time  : 2022/12/04 00:29:29

Total sieving time: 0hrs 38min 53secs.

Total relation processing time: 0hrs 5min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 39sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

141923168731130008802708844615912817139800251177649512792088222465934271123782979192505832895303721625041192041112838876156772892723<132>

2434249033023796346364700643498850454427368375870474637<55>
58302649731295022663247424345941586595956669554135314108149326036863019737279<77>

141923168731130008802708844615912817139800251177649512792088222465934271123782979192505832895303721625041192041112838876156772892723=2434249033023796346364700643498850454427368375870474637*58302649731295022663247424345941586595956669554135314108149326036863019737279

cado polynomial
n: 141923168731130008802708844615912817139800251177649512792088222465934271123782979192505832895303721625041192041112838876156772892723
skew: 1.12
type: snfs
c0: 7
c5: 4
Y0: 20000000000000000000000000000000000
Y1: -1
# f(x) = 4*x^5+7
# g(x) = -x+20000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5200000
tasks.lim1 = 5200000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
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: 58302649731295022663247424345941586595956669554135314108149326036863019737279 2434249033023796346364700643498850454427368375870474637
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 152.23/49.312
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Singleton removal: Total cpu/real time for purge: 53.41/48.6389
Info:Filtering - Merging: Merged matrix has 690079 rows and total weight 117749235 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 163.64/46.2674
Info:Filtering - Merging: Total cpu/real time for replay: 23.98/22.2343
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11655671
Info:Lattice Sieving: Average J: 1892.41 for 333523 special-q, max bucket fill -bkmult 1.0,1s:1.249630
Info:Lattice Sieving: Total time: 45804.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.01/94.8336
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 80.3s
Info:Linear Algebra: Total cpu/real time for bwc: 7860.32/2225
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4959.05, WCT time 1353.86, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (21760 iterations)
Info:Linear Algebra: Lingen CPU time 90.56, WCT time 92.36
Info:Linear Algebra: Mksol: CPU time 2687.91,  WCT time 732.69, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (11008 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.24/1.38146
Info:Generate Free Relations: Total cpu/real time for freerel: 63.33/18.8181
Info:Square Root: Total cpu/real time for sqrt: 152.23/49.312
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.63/42.0673
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 41.9s
Info:Quadratic Characters: Total cpu/real time for characters: 24.45/9.99191
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 92206.8/25612.9
Info:root: Cleaning up computation data in /tmp/cado.grcfztt7
58302649731295022663247424345941586595956669554135314108149326036863019737279 2434249033023796346364700643498850454427368375870474637

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)

57140306236328735324315878755412704789964733717244765858667023793580643721262443640908887996071603946252399446453283335565376545689924556939422347216642114191330744163207<170>

2132408771065233723761686609558772786049557487781<49>
26796131685288741420242439590832088683736819008008091699365008146066312147273284825473395017115081609695350709352629487547<122>

Number: n
N=57140306236328735324315878755412704789964733717244765858667023793580643721262443640908887996071603946252399446453283335565376545689924556939422347216642114191330744163207  ( 170 digits)
SNFS difficulty: 174 digits.
Divisors found:

Tue Nov 29 23:06:56 2022  p49 factor: 2132408771065233723761686609558772786049557487781
Tue Nov 29 23:06:56 2022  p122 factor: 26796131685288741420242439590832088683736819008008091699365008146066312147273284825473395017115081609695350709352629487547
Tue Nov 29 23:06:56 2022  elapsed time 00:11:15 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 64x10^173+35 = 71(172)5
#
n: 57140306236328735324315878755412704789964733717244765858667023793580643721262443640908887996071603946252399446453283335565376545689924556939422347216642114191330744163207
m: 20000000000000000000000000000000000
deg: 5
c5: 400
c0: 7
skew: 0.45
# Murphy_E = 2.129e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1568272 hash collisions in 13852721 relations (13103338 unique)
Msieve: matrix is 674615 x 674841 (233.9 MB)

Sieving start time : 2022/11/29 21:51:23
Sieving end time  : 2022/11/29 22:55:12

Total sieving time: 1hrs 3min 49secs.

Total relation processing time: 0hrs 6min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 25sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

361090037912462175794278542453348509469308540314390969445018707459970328721570902262209960533619187456593910658281801279575908166177233322463<141>

6222106709604011669295067108283648677<37>
58033404884411364735269880597917751257886958019049807968107622045334322143266288618153045552212467328819<104>

361090037912462175794278542453348509469308540314390969445018707459970328721570902262209960533619187456593910658281801279575908166177233322463=6222106709604011669295067108283648677*58033404884411364735269880597917751257886958019049807968107622045334322143266288618153045552212467328819

cado polynomial
n: 361090037912462175794278542453348509469308540314390969445018707459970328721570902262209960533619187456593910658281801279575908166177233322463
skew: 0.71
type: snfs
c0: 7
c5: 40
Y0: 200000000000000000000000000000000000
Y1: -1
# f(x) = 40*x^5+7
# g(x) = -x+200000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6500000
tasks.lim1 = 6500000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6222106709604011669295067108283648677 58033404884411364735269880597917751257886958019049807968107622045334322143266288618153045552212467328819
Info:Square Root: Total cpu/real time for sqrt: 308.28/97.4032
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 226.81/210.622
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 194.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.77/1.59914
Info:Square Root: Total cpu/real time for sqrt: 308.28/97.4032
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.72/87.8784
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 87.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 145.75/127.018
Info:Generate Free Relations: Total cpu/real time for freerel: 117.69/33.7126
Info:Filtering - Merging: Merged matrix has 812229 rows and total weight 138780132 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 188.31/53.0508
Info:Filtering - Merging: Total cpu/real time for replay: 27.45/23.7491
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22441098
Info:Lattice Sieving: Average J: 1893.32 for 630256 special-q, max bucket fill -bkmult 1.0,1s:1.243720
Info:Lattice Sieving: Total time: 107993s
Info:Linear Algebra: Total cpu/real time for bwc: 10100.6/2730.47
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6361.07, WCT time 1707.71, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25600 iterations)
Info:Linear Algebra: Lingen CPU time 151.46, WCT time 39.63
Info:Linear Algebra: Mksol: CPU time 3458.27,  WCT time 933.35, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 26.71/10.8096
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 209401/57673.2
Info:root: Cleaning up computation data in /tmp/cado.1rlkaoi6
6222106709604011669295067108283648677 58033404884411364735269880597917751257886958019049807968107622045334322143266288618153045552212467328819

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)

894523891534057882849762898275314517695259788794043074999346532425370736405223096808162226810304629031376804747365260345610020897447899310314716323965711<153>

815186841804768292842469896469444339<36>
1705377408553290033806463625419578557468691975948317<52>
643449218892407295963035198140471352847125904442839589592606448697<66>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 894523891534057882849762898275314517695259788794043074999346532425370736405223096808162226810304629031376804747365260345610020897447899310314716323965711 (153 digits)
Using B1=27980000, B2=144287213086, polynomial Dickson(12), sigma=1:1945322595
Step 1 took 54760ms
Step 2 took 22637ms
********** Factor found in step 2: 815186841804768292842469896469444339
Found prime factor of 36 digits: 815186841804768292842469896469444339
Composite cofactor 1097323761450372225343452476091758735122018037837209940247007309534936961023206815944200836416050263150224876183992949 has 118 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1097323761450372225343452476091758735122018037837209940247007309534936961023206815944200836416050263150224876183992949 (118 digits)
Using B1=52040000, B2=288593765476, polynomial Dickson(12), sigma=1:1157661682
Step 1 took 84107ms
Step 2 took 30448ms
********** Factor found in step 2: 1705377408553290033806463625419578557468691975948317
Found prime factor of 52 digits: 1705377408553290033806463625419578557468691975948317
Prime cofactor 643449218892407295963035198140471352847125904442839589592606448697 has 66 digits

696035805954056060661017118242828392499073170301961797421030716378240334066923938903568198677303345794827431337551935860560612539559225463701<141>

264741567680878157000200072521288505844359630480095539<54>
2629114166133003408117093782063204227978817437726580511781976657718629664158700268507159<88>

696035805954056060661017118242828392499073170301961797421030716378240334066923938903568198677303345794827431337551935860560612539559225463701=264741567680878157000200072521288505844359630480095539*2629114166133003408117093782063204227978817437726580511781976657718629664158700268507159

cado polynomial
n: 696035805954056060661017118242828392499073170301961797421030716378240334066923938903568198677303345794827431337551935860560612539559225463701
skew: 0.56
type: snfs
c0: 7
c5: 125
Y0: 400000000000000000000000000000000000
Y1: -1
# f(x) = 125*x^5+7
# g(x) = -x+400000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7000000
tasks.lim1 = 7000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 264741567680878157000200072521288505844359630480095539 2629114166133003408117093782063204227978817437726580511781976657718629664158700268507159
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 218.95/67.4428
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 86.24/86.9809
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 86.6s
Info:Quadratic Characters: Total cpu/real time for characters: 31.44/13.9048
Info:Filtering - Singleton removal: Total cpu/real time for purge: 136.31/118.304
Info:Filtering - Merging: Merged matrix has 938346 rows and total weight 160464566 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 247.36/69.1445
Info:Filtering - Merging: Total cpu/real time for replay: 32.25/32.7798
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22426875
Info:Lattice Sieving: Average J: 1894.03 for 784540 special-q, max bucket fill -bkmult 1.0,1s:1.190390
Info:Lattice Sieving: Total time: 132131s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 208.27/189.516
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 166.3s
Info:Linear Algebra: Total cpu/real time for bwc: 14836.6/4160.41
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9416.23, WCT time 2554.15, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29440 iterations)
Info:Linear Algebra: Lingen CPU time 122.23, WCT time 125.32
Info:Linear Algebra: Mksol: CPU time 5120.42,  WCT time 1412.22, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (14848 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.97/1.70548
Info:Square Root: Total cpu/real time for sqrt: 218.95/67.4428
Info:Generate Free Relations: Total cpu/real time for freerel: 128.96/37.0605
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 258234/71184.6
Info:root: Cleaning up computation data in /tmp/cado.jeq_3aol
264741567680878157000200072521288505844359630480095539 2629114166133003408117093782063204227978817437726580511781976657718629664158700268507159

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)

47022534850090918606854726619354219542192819187950634636650603306639667133711477329971024115428671937871267991802697720224049245026708540745328088899959241828027<161>

75864623853081842149201301894565103375051909867680585059599941393465691281481<77>
619821630449970604858503283872648496504729994437763770657209362080130649354006064867<84>

Number: n
N=47022534850090918606854726619354219542192819187950634636650603306639667133711477329971024115428671937871267991802697720224049245026708540745328088899959241828027  ( 161 digits)
SNFS difficulty: 191 digits.
Divisors found:

Wed Dec 14 09:12:51 2022  p77 factor: 75864623853081842149201301894565103375051909867680585059599941393465691281481
Wed Dec 14 09:12:51 2022  p84 factor: 619821630449970604858503283872648496504729994437763770657209362080130649354006064867
Wed Dec 14 09:12:51 2022  elapsed time 00:36:20 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 64x10^190+35 = 71(189)5
#
n: 47022534850090918606854726619354219542192819187950634636650603306639667133711477329971024115428671937871267991802697720224049245026708540745328088899959241828027
m: 200000000000000000000000000000000000000
deg: 5
c5: 2
c0: 35
skew: 1.77
# Murphy_E = 4.744e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 11100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1333272 hash collisions in 12494984 relations (11907511 unique)
Msieve: matrix is 1255733 x 1255958 (441.0 MB)

Sieving start time : 2022/12/14 05:14:54
Sieving end time  : 2022/12/14 08:35:43

Total sieving time: 3hrs 20min 49secs.

Total relation processing time: 0hrs 27min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 19sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

196871489135680030284168144327840340302238195127767751191191488590314162522368890583996286665221236159625977859302748950652164354371300401763630767824570232574166654059424176360933<180>

1795496503350506346489972804047334604978231379<46>
10121947252587432538597231629593859423900685358945281<53>
10832637064312500013932485110683779746496873915438923721726010712037666891462446567<83>

Number: n
N=196871489135680030284168144327840340302238195127767751191191488590314162522368890583996286665221236159625977859302748950652164354371300401763630767824570232574166654059424176360933  ( 180 digits)
SNFS difficulty: 194 digits.
Divisors found:

Tue Dec 13 15:28:07 2022  found factor: 1795496503350506346489972804047334604978231379
Tue Dec 13 15:32:15 2022  found factor: 1795496503350506346489972804047334604978231379
Tue Dec 13 15:34:18 2022  found factor: 1795496503350506346489972804047334604978231379
Tue Dec 13 15:36:22 2022  found factor: 1795496503350506346489972804047334604978231379
Tue Dec 13 15:38:26 2022  found factor: 1795496503350506346489972804047334604978231379
Tue Dec 13 15:40:29 2022  p46 factor: 1795496503350506346489972804047334604978231379
Tue Dec 13 15:40:29 2022  p53 factor: 10121947252587432538597231629593859423900685358945281
Tue Dec 13 15:40:29 2022  p83 factor: 10832637064312500013932485110683779746496873915438923721726010712037666891462446567
Tue Dec 13 15:40:29 2022  elapsed time 00:59:26 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 64x10^193+35 = 71(192)5
#
n: 196871489135680030284168144327840340302238195127767751191191488590314162522368890583996286665221236159625977859302748950652164354371300401763630767824570232574166654059424176360933
m: 200000000000000000000000000000000000000
deg: 5
c5: 400
c0: 7
skew: 0.45
# Murphy_E = 3.272e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 18800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1566541 hash collisions in 13665059 relations (12899141 unique)
Msieve: matrix is 1485743 x 1485968 (517.2 MB)

Sieving start time : 2022/12/13 08:25:08
Sieving end time  : 2022/12/13 14:40:20

Total sieving time: 6hrs 15min 12secs.

Total relation processing time: 0hrs 40min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 26sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12000000,12000000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

27333824202522150028121674115412312726136356397463410897599242182742958755518210688071391043904698445571865144549989485904633244697379637443042784021266673748896454928249<170>

4893771006982686058769889393348247<34>
5585431799632805308751813328975820985842918902143735134875008942312580343614420566415695685577194009828832120122248660188404727640493167<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2344558568
Step 1 took 8781ms
Step 2 took 4162ms
********** Factor found in step 2: 4893771006982686058769889393348247
Found prime factor of 34 digits: 4893771006982686058769889393348247
Prime cofactor 5585431799632805308751813328975820985842918902143735134875008942312580343614420566415695685577194009828832120122248660188404727640493167 has 136 digits

10124634608230779039348957688828632618200330545393249847859019632285761538939324634766754896987937860938212942425135393208652847451441271509825634437964377565783569229864567620973<179>

26904277497151504246616128151612556123581599888139149<53>
376320628171588207511109627393319246034944351603998682145358184923183910578601831835992468509869697235957144185795981170868577<126>

Number: n
N=10124634608230779039348957688828632618200330545393249847859019632285761538939324634766754896987937860938212942425135393208652847451441271509825634437964377565783569229864567620973  ( 179 digits)
SNFS difficulty: 197 digits.
Divisors found:

Mon Dec 19 23:59:24 2022  p53 factor: 26904277497151504246616128151612556123581599888139149
Mon Dec 19 23:59:24 2022  p126 factor: 376320628171588207511109627393319246034944351603998682145358184923183910578601831835992468509869697235957144185795981170868577
Mon Dec 19 23:59:24 2022  elapsed time 00:43:46 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.306).
Factorization parameters were as follows:
#
# N = 64x10^196+35 = 71(195)5
#
n: 10124634608230779039348957688828632618200330545393249847859019632285761538939324634766754896987937860938212942425135393208652847451441271509825634437964377565783569229864567620973
m: 2000000000000000000000000000000000000000
deg: 5
c5: 4
c0: 7
skew: 1.12
# Murphy_E = 2.947e-11
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 19550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1904021 hash collisions in 15049283 relations (13997091 unique)
Msieve: matrix is 1439429 x 1439654 (501.4 MB)

Sieving start time : 2022/12/19 18:00:12
Sieving end time  : 2022/12/19 23:15:16

Total sieving time: 5hrs 15min 4secs.

Total relation processing time: 0hrs 37min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 30sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13500000,13500000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

172075189578276081283897990767015493808594688413209201738924310721022195751975371797053052343616332788421163529415797663796951109421523601060490323826531654242566147<165>

45226426435350069551369725043198043687413424819556138855503642427368818477<74>
3804748752905623077113096664101038858551123304498478220388426491499365338543198154128777711<91>

Number: n
N=172075189578276081283897990767015493808594688413209201738924310721022195751975371797053052343616332788421163529415797663796951109421523601060490323826531654242566147  ( 165 digits)
SNFS difficulty: 199 digits.
Divisors found:

Sun May  7 04:09:35 2023  prp74 factor: 45226426435350069551369725043198043687413424819556138855503642427368818477
Sun May  7 04:09:35 2023  prp91 factor: 3804748752905623077113096664101038858551123304498478220388426491499365338543198154128777711
Sun May  7 04:09:35 2023  elapsed time 02:03:36 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
#
# N = 64x10^198+35 = 71(197)5
#
n: 172075189578276081283897990767015493808594688413209201738924310721022195751975371797053052343616332788421163529415797663796951109421523601060490323826531654242566147
m: 2000000000000000000000000000000000000000
deg: 5
c5: 400
c0: 7
skew: 0.45
# Murphy_E = 2.027e-11
type: snfs
lss: 1
rlim: 14600000
alim: 14600000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14600000/14600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 32900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1810296 hash collisions in 14380291 relations (13373954 unique)
Msieve: matrix is 1997906 x 1998131 (566.7 MB)

Sieving start time: 2023/05/06 15:10:41
Sieving end time  : 2023/05/07 02:05:42

Total sieving time: 10hrs 55min 1secs.

Total relation processing time: 1hrs 57min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 36sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14600000,14600000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

34617648357860329347925180562881718227071094591677494891280259810427212693214178522244369133209541163706380387152798948971414603980174397059347606562972800505305158667597762409326879381243720531<194>

168351406279559695575953753670865761383856072319<48>
1466963020525361041097534645409200285685956587961<49>
140172121811606987524339764927217212148954084369467330579832073365460626725009529083046140753503509<99>

Number: n
N=34617648357860329347925180562881718227071094591677494891280259810427212693214178522244369133209541163706380387152798948971414603980174397059347606562972800505305158667597762409326879381243720531  ( 194 digits)
SNFS difficulty: 202 digits.
Divisors found:

Wed Jun 14 15:45:13 2023  prp48 factor: 168351406279559695575953753670865761383856072319
Wed Jun 14 15:45:13 2023  prp49 factor: 1466963020525361041097534645409200285685956587961
Wed Jun 14 15:45:13 2023  prp99 factor: 140172121811606987524339764927217212148954084369467330579832073365460626725009529083046140753503509
Wed Jun 14 15:45:13 2023  elapsed time 02:21:46 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.108).
Factorization parameters were as follows:
#
# N = 64x10^201+35 = 71(200)5
#
n: 34617648357860329347925180562881718227071094591677494891280259810427212693214178522244369133209541163706380387152798948971414603980174397059347606562972800505305158667597762409326879381243720531
m: 20000000000000000000000000000000000000000
deg: 5
c5: 4
c0: 7
skew: 1.12
# Murphy_E = 1.819e-11
type: snfs
lss: 1
rlim: 16400000
alim: 16400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16400000/16400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2081292 hash collisions in 15486148 relations (14248427 unique)
Msieve: matrix is 2054545 x 2054770 (582.9 MB)

Sieving start time: 2023/06/13 21:45:16
Sieving end time  : 2023/06/14 13:23:11

Total sieving time: 15hrs 37min 55secs.

Total relation processing time: 2hrs 8min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 49sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16400000,16400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

17457005305293018561706422268592392564406802776754906373170764971427792097977442275957066677577294982474803267733180584536912019420918402138483149898394773809036727902568089139833340152476030713418709<200>

2563805678111327748203410058786881652234693169671047<52>
17443066399875859322652735933326606154831583516294064865953051<62>
390356850054743535262990887946688303254322036146985199716062856731432646105358348472697<87>

Number: n
N=17457005305293018561706422268592392564406802776754906373170764971427792097977442275957066677577294982474803267733180584536912019420918402138483149898394773809036727902568089139833340152476030713418709
  ( 200 digits)
SNFS difficulty: 204 digits.
Divisors found:

Fri Aug 11 02:52:36 2023  prp52 factor: 2563805678111327748203410058786881652234693169671047
Fri Aug 11 02:52:36 2023  prp62 factor: 17443066399875859322652735933326606154831583516294064865953051
Fri Aug 11 02:52:36 2023  prp87 factor: 390356850054743535262990887946688303254322036146985199716062856731432646105358348472697
Fri Aug 11 02:52:36 2023  elapsed time 02:58:20 (Msieve 1.44 - dependency 13)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.029).
Factorization parameters were as follows:
#
# N = 64x10^203+35 = 71(202)5
#
n: 17457005305293018561706422268592392564406802776754906373170764971427792097977442275957066677577294982474803267733180584536912019420918402138483149898394773809036727902568089139833340152476030713418709
m: 20000000000000000000000000000000000000000
deg: 5
c5: 400
c0: 7
skew: 0.45
# Murphy_E = 1.25e-11
type: snfs
lss: 1
rlim: 17700000
alim: 17700000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2615937 hash collisions in 17442169 relations (15336798 unique)
Msieve: matrix is 2137218 x 2137443 (603.1 MB)

Sieving start time: 2023/08/10 12:31:17
Sieving end time  : 2023/08/10 23:53:54

Total sieving time: 11hrs 22min 37secs.

Total relation processing time: 2hrs 16min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 37min 31sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17700000,17700000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3883224435938069216840438100176812459086192780407337128113922126948200505663797036669907474639717454250462458744896843064816096570410955346676188330821090561678387457649<169>

3410527614452927357249124961873229787959<40>
1138599323894043812924092739743731573155329696435889890788593376736614602399265707303679294394240622811615719647485922574983253911<130>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1677506187
Step 1 took 6469ms
Step 2 took 3140ms
********** Factor found in step 2: 3410527614452927357249124961873229787959
Found prime factor of 40 digits: 3410527614452927357249124961873229787959
Prime cofactor 1138599323894043812924092739743731573155329696435889890788593376736614602399265707303679294394240622811615719647485922574983253911 has 130 digits

GMP-ECM

888381947117781903780311935872908643434295755415368960728174243249420840155436894299306447424106496982190964525609700047238549548366247256698490106857<150>

8928609796097061722815384851553252348822666896525459042694039<61>
99498350516574016318663661370605255899022513893809154161972663886817192848541901081281663<89>

8928609796097061722815384851553252348822666896525459042694039
99498350516574016318663661370605255899022513893809154161972663886817192848541901081281663

cado-nfs

2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 22.04

13706340623672919037748876417497708712446732027604600069320269309960696381277738063159113172605107083414854091840706923541580591251888010042972632491650835052763398393977150876423380897337<188>

3652821365590731439953817538905844384047168192099145378107<58>
3752261403414218219189282210815164590698019963351603003780077354371088680198598880965505523888774793696894255219477311530947972891<130>

Number: n
N=13706340623672919037748876417497708712446732027604600069320269309960696381277738063159113172605107083414854091840706923541580591251888010042972632491650835052763398393977150876423380897337  ( 188 digits)
SNFS difficulty: 207 digits.
Divisors found:

Tue May 28 06:29:16 2024  prp58 factor: 3652821365590731439953817538905844384047168192099145378107
Tue May 28 06:29:16 2024  prp130 factor: 3752261403414218219189282210815164590698019963351603003780077354371088680198598880965505523888774793696894255219477311530947972891
Tue May 28 06:29:16 2024  elapsed time 02:02:36 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.915).
Factorization parameters were as follows:
#
# N = 64x10^206+35 = 71(205)5
#
n: 13706340623672919037748876417497708712446732027604600069320269309960696381277738063159113172605107083414854091840706923541580591251888010042972632491650835052763398393977150876423380897337
m: 200000000000000000000000000000000000000000
deg: 5
c5: 4
c0: 7
skew: 1.12
# Murphy_E = 1.119e-11
type: snfs
lss: 1
rlim: 19800000
alim: 19800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19800000/19800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4085139 hash collisions in 22068889 relations (18387126 unique)
Msieve: matrix is 1947657 x 1947883 (548.8 MB)

Sieving start time: 2024/05/27 13:43:27
Sieving end time  : 2024/05/28 04:24:11

Total sieving time: 14hrs 40min 44secs.

Total relation processing time: 1hrs 52min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 39sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19800000,19800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1273056409038679777224966757292141032784184170096517590186755506398948867319448400081837595811783097845303184108090813324978514753793007445487017670555353625436562011248376140838224962327354210174047<199>

43638836409268368922309202646057967367598171299<47>
2761709010138733048697086253601512187128135422652758787633101733<64>
10563225931725185998077286169506333456847388367097173159058756089603831518391617012798641<89>

08/29/24 10:25:18 v1.34.5 @ TRIGKEY,
08/29/24 10:25:18 v1.34.5 @ TRIGKEY, ****************************
08/29/24 10:25:18 v1.34.5 @ TRIGKEY, Starting factorization of 64000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000035
08/29/24 10:25:18 v1.34.5 @ TRIGKEY, using pretesting plan: normal
08/29/24 10:25:18 v1.34.5 @ TRIGKEY, no tune info: using qs/gnfs crossover of 100 digits
08/29/24 10:25:18 v1.34.5 @ TRIGKEY, ****************************
08/29/24 10:25:18 v1.34.5 @ TRIGKEY, div: found prime factor = 3
08/29/24 10:25:18 v1.34.5 @ TRIGKEY, div: found prime factor = 3
08/29/24 10:25:18 v1.34.5 @ TRIGKEY, div: found prime factor = 5
08/29/24 10:25:18 v1.34.5 @ TRIGKEY, div: found prime factor = 523
08/29/24 10:25:18 v1.34.5 @ TRIGKEY, rho: x^2 + 3, starting 1000 iterations on C205
08/29/24 10:25:18 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C205
08/29/24 10:25:18 v1.34.5 @ TRIGKEY, prp7 = 2136083
08/29/24 10:25:18 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C199
08/29/24 10:25:18 v1.34.5 @ TRIGKEY, rho: x^2 + 1, starting 1000 iterations on C199
08/29/24 10:25:18 v1.34.5 @ TRIGKEY, pm1: starting B1 = 150K, B2 = gmp-ecm default on C199
08/29/24 10:25:18 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
08/29/24 10:25:18 v1.34.5 @ TRIGKEY, scheduled 30 curves at B1=2000 toward target pretesting depth of 61.23
08/29/24 10:25:18 v1.34.5 @ TRIGKEY, Finished 30 curves using Lenstra ECM method on C199 input, B1=2K, B2=gmp-ecm default
08/29/24 10:25:18 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.18
08/29/24 10:25:18 v1.34.5 @ TRIGKEY, scheduled 74 curves at B1=11000 toward target pretesting depth of 61.23
08/29/24 10:25:21 v1.34.5 @ TRIGKEY, Finished 74 curves using Lenstra ECM method on C199 input, B1=11K, B2=gmp-ecm default
08/29/24 10:25:21 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.24
08/29/24 10:25:21 v1.34.5 @ TRIGKEY, scheduled 214 curves at B1=50000 toward target pretesting depth of 61.23
08/29/24 10:26:08 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c209: 64000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000035
08/29/24 10:26:08 v1.34.5 @ TRIGKEY, nfs: input divides 64*10^207 + 35
08/29/24 10:26:08 v1.34.5 @ TRIGKEY, nfs: using supplied cofactor: 1273056409038679777224966757292141032784184170096517590186755506398948867319448400081837595811783097845303184108090813324978514753793007445487017670555353625436562011248376140838224962327354210174047
08/29/24 10:26:08 v1.34.5 @ TRIGKEY, nfs: commencing snfs on c199: 1273056409038679777224966757292141032784184170096517590186755506398948867319448400081837595811783097845303184108090813324978514753793007445487017670555353625436562011248376140838224962327354210174047
08/29/24 10:26:08 v1.34.5 @ TRIGKEY, gen: best 3 polynomials:
n: 1273056409038679777224966757292141032784184170096517590186755506398948867319448400081837595811783097845303184108090813324978514753793007445487017670555353625436562011248376140838224962327354210174047
# 64*10^207+35, difficulty: 209.71, anorm: 3.35e+031, rnorm: 2.38e+047
# scaled difficulty: 212.35, suggest sieving rational side
# size = 3.047e-014, alpha = -0.358, combined = 9.023e-012, rroots = 1
type: snfs
size: 209
skew: 0.7057
c5: 40
c0: 7
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 1273056409038679777224966757292141032784184170096517590186755506398948867319448400081837595811783097845303184108090813324978514753793007445487017670555353625436562011248376140838224962327354210174047
# 64*10^207+35, difficulty: 210.81, anorm: 1.89e+032, rnorm: 1.68e+047
# scaled difficulty: 213.30, suggest sieving rational side
# size = 2.513e-014, alpha = -1.166, combined = 8.188e-012, rroots = 1
type: snfs
size: 210
skew: 0.3528
c5: 1280
c0: 7
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 1273056409038679777224966757292141032784184170096517590186755506398948867319448400081837595811783097845303184108090813324978514753793007445487017670555353625436562011248376140838224962327354210174047
# 64*10^207+35, difficulty: 209.71, anorm: 7.48e+037, rnorm: 2.64e+040
# scaled difficulty: 209.71, suggest sieving algebraic side
# size = 1.813e-010, alpha = 0.452, combined = 5.117e-012, rroots = 0
type: snfs
size: 209
skew: 0.5719
c6: 200
c0: 7
Y1: -1
Y0: 20000000000000000000000000000000000
m: 20000000000000000000000000000000000
08/29/24 10:26:10 v1.34.5 @ TRIGKEY, test: fb generation took 1.5738 seconds
08/29/24 10:26:10 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000
skew: 0.7057
c5: 40
c0: 7
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/29/24 10:29:09 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
08/29/24 10:29:11 v1.34.5 @ TRIGKEY, test: fb generation took 1.7279 seconds
08/29/24 10:29:11 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 1 on the rational side over range 22600000-22602000
skew: 0.3528
c5: 1280
c0: 7
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
08/29/24 10:32:13 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
08/29/24 10:32:15 v1.34.5 @ TRIGKEY, test: fb generation took 2.2695 seconds
08/29/24 10:32:15 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 2 on the algebraic side over range 21400000-21402000
skew: 0.5719
c6: 200
c0: 7
Y1: -1
Y0: 20000000000000000000000000000000000
m: 20000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/29/24 10:34:46 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
08/29/24 10:34:46 v1.34.5 @ TRIGKEY, gen: selected polynomial:
n: 1273056409038679777224966757292141032784184170096517590186755506398948867319448400081837595811783097845303184108090813324978514753793007445487017670555353625436562011248376140838224962327354210174047
# 64*10^207+35, difficulty: 209.71, anorm: 3.35e+031, rnorm: 2.38e+047
# scaled difficulty: 212.35, suggest sieving rational side
# size = 3.047e-014, alpha = -0.358, combined = 9.023e-012, rroots = 1
type: snfs
size: 209
skew: 0.7057
c5: 40
c0: 7
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
08/30/24 13:26:28 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
08/30/24 13:28:24 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 22112510
08/30/24 15:11:33 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
08/30/24 15:13:36 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 23427818
08/30/24 16:56:55 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
08/30/24 16:59:05 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 24733489
08/30/24 18:42:03 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
08/30/24 18:46:02 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra
08/30/24 21:18:13 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt
08/30/24 21:24:37 v1.34.5 @ TRIGKEY, prp64 = 2761709010138733048697086253601512187128135422652758787633101733
08/30/24 21:24:37 v1.34.5 @ TRIGKEY, C135 = 460966888388696836474597790865316190630817062985844754808957840955219936334095526848013366301898346066486216070241884459204509712404659
08/30/24 21:24:37 v1.34.5 @ TRIGKEY, NFS elapsed time = 125909.4159 seconds.
08/30/24 21:24:37 v1.34.5 @ TRIGKEY,
08/30/24 21:24:37 v1.34.5 @ TRIGKEY,
08/29/24 10:34:46 v1.34.5 @ TRIGKEY, test: test sieving took 517.80 seconds




08/31/24 01:42:15 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c199: 1273056409038679777224966757292141032784184170096517590186755506398948867319448400081837595811783097845303184108090813324978514753793007445487017670555353625436562011248376140838224962327354210174047
08/31/24 01:42:15 v1.34.5 @ TRIGKEY, nfs: continuing with sieving - could not determine last special q; using default startq
09/01/24 04:37:53 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/01/24 04:39:48 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 22112510
09/01/24 06:22:08 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/01/24 06:24:10 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 23427818
09/01/24 08:06:27 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/01/24 08:08:35 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 24733489
09/01/24 09:50:36 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/01/24 09:54:35 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra
09/01/24 12:27:53 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt
09/01/24 12:40:29 v1.34.5 @ TRIGKEY, prp47 = 43638836409268368922309202646057967367598171299
09/01/24 12:40:29 v1.34.5 @ TRIGKEY, prp64 = 2761709010138733048697086253601512187128135422652758787633101733
09/01/24 12:40:29 v1.34.5 @ TRIGKEY, prp89 = 10563225931725185998077286169506333456847388367097173159058756089603831518391617012798641
09/01/24 12:40:29 v1.34.5 @ TRIGKEY, NFS elapsed time = 125894.2653 seconds.
09/01/24 12:40:29 v1.34.5 @ TRIGKEY,
09/01/24 12:40:29 v1.34.5 @ TRIGKEY,

YAFU + Error + 2nd attempt

4335826553285207308347407261487943823568619141255274906041565298517964804155220104793123994337959233272139769696514949<118>

76409940237129306188826631965093766049<38>
56744273583115980504554138151762158552045881686930242378144149228357017402656101<80>

Number: 1
N=4335826553285207308347407261487943823568619141255274906041565298517964804155220104793123994337959233272139769696514949
  ( 118 digits)
Divisors found:
 r1=76409940237129306188826631965093766049 (pp38)
 r2=56744273583115980504554138151762158552045881686930242378144149228357017402656101 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 24.51 hours.
Scaled time: 189.56 units (timescale=7.734).
Factorization parameters were as follows:
name: 1
n: 4335826553285207308347407261487943823568619141255274906041565298517964804155220104793123994337959233272139769696514949
skew: 114027.30
# norm 4.49e+016
c5: 8100
c4: 11036128301
c3: -411413721960862
c2: -108994355568847445220
c1: 3893780551450306012532946
c0: 141926084390722196308324040460
# alpha -6.62
Y1: 3003048263897
Y0: -55681508697018997084889
# Murphy_E 3.44e-010
# M 4112443844310000063025201556111402263069080643368084347771448325571505237436392850492721466807279852841324568164281090
type: gnfs
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1900000, 3500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 707508 x 707733
Total sieving time: 24.22 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3800000,3800000,27,27,53,53,2.5,2.5,100000
total time: 24.51 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

144124730648697655766902389950596918961179694008631521660731011092371453170247028179658958380786236603896875118394348274711705811433022006108001910676154447936031392008520376062221<180>

906643492065193717450155301287591370310476162960329936646641136903839796544172715653242799805473682385543784059497312013337344753844034828915712710333672080635365390501578156259442064317023<189>

2909146004349214186367761369444299043963484881180715633871311476451211972612199494223603102919674158283547674551754635844046564636416171036257375301609973445247089190895972127581225305341975942467110405525021<208>

153479891765906538617777894070179977<36>

18954574249937288733314443619730670874251940050828296476017625735103129707886991759347904279210003867057732785155448424188661198882484733390897041703997306328239665304157173<173>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:157943434
Step 1 took 19096ms
********** Factor found in step 1: 153479891765906538617777894070179977
Found prime factor of 36 digits: 153479891765906538617777894070179977
Composite cofactor 18954574249937288733314443619730670874251940050828296476017625735103129707886991759347904279210003867057732785155448424188661198882484733390897041703997306328239665304157173 has 173 digits

35152443956139527249302653282455351084965135689153052245019833756868325968322593311227418766968213566361609436764431128134092752745366896262948696683763742271229974312255752747291698674145627892262861<200>

209965519257771239666570216631493838953<39>

167420079641664619108220572337212771107700634729807168616553224767975656236922358023105708134785461313250865932973321832772757031028793057468611036970609231927237<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2288066673
Step 1 took 11670ms
Step 2 took 4973ms
********** Factor found in step 2: 209965519257771239666570216631493838953
Found prime factor of 39 digits: 209965519257771239666570216631493838953
Composite cofactor 167420079641664619108220572337212771107700634729807168616553224767975656236922358023105708134785461313250865932973321832772757031028793057468611036970609231927237 has 162 digits

377286705558894060502050837117494840869208855279714527410283084580369852626444927747005832194995332646481821981739052343701603135038051432599584421587546157239866711181<168>

19901566068404624033452399102797982984775091394969179801964357126911166203721967956299859899889994186444720538665507378245051347545183474871076750443350658159604433543762096148334818057186139064911<197>

7964430888706457683107104562105622572938134818077<49>

2498805796233977374945655981443029745263241968098802062947294462814713071433877086685703966945275192403985911635283050600139416449009019172706538843<148>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:878127763
Step 1 took 5281ms
Step 2 took 2797ms
********** Factor found in step 2: 7964430888706457683107104562105622572938134818077
Found prime factor of 49 digits: 7964430888706457683107104562105622572938134818077
Composite cofactor 2498805796233977374945655981443029745263241968098802062947294462814713071433877086685703966945275192403985911635283050600139416449009019172706538843 has 148 digits
 

GMP-ECM

2498805796233977374945655981443029745263241968098802062947294462814713071433877086685703966945275192403985911635283050600139416449009019172706538843<148>

120370281719327318611814718249171625618436727164997222743<57>
20759324980733639729255634773244285033935710546062233423055620999562444873033922520351372701<92>

FACTORS
120370281719327318611814718249171625618436727164997222743
20759324980733639729255634773244285033935710546062233423055620999562444873033922520351372701
POLYNOMIAL
n: 2498805796233977374945655981443029745263241968098802062947294462814713071433877086685703966945275192403985911635283050600139416449009019172706538843
skew: 373428.927
c0: -2302964432769924617845182309410000
c1: 18528880540995132020830786734
c2: 35342421292564253546063
c3: -325700612756734151
c4: -436115628796
c5: 389760
Y0: -31298223654658896550517503747
Y1: 3755339290318569180413
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=3.087e+14) = 6.325e-07
# f(x) = 389760*x^5-436115628796*x^4-325700612756734151*x^3+35342421292564253546063*x^2+18528880540995132020830786734*x-2302964432769924617845182309410000
# g(x) = 3755339290318569180413*x-31298223654658896550517503747

cado-nfs

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

168119591595738375485989626281021518205338848277367079298686581422038594825812041114994908010410095240272162355805037421200213151491764565571598536479758094929846502741071<171>

60589953308677454974198930178980997228521830191131361703704029290342737550887871596043437044471789732216977032282145165971987234574915011428915683841924529193485375249666467106924824573822127<191>

4422099025307189054752149986543690856584764556047168595634628213751829729840842437502439927684861876773373989006247251302705460912272119391146059512470491989609449196473514217912057578493121390418486032212918540444759519<220>

7435246287424415750237914916594995926553401815344373891593505900005451938614565290845766024955614571255614760292270585895869856697307241993415108874451616515001<160>

437485627585182688950314471819811375175912574303336866896667553343154000409859090507992547582662147485735138230179957841799301586976809477578996819938882654461073004084984853586027281431<186>

122048995608630647503933043198138507499423498151962407851287951271011999444689350999116358620444964772041963029525147143289261510374140792260157249663310798751351035181357680472255597298249747865370152574604357<210>

8209393712263327334865750161522219287350116243186453918353847871093105326799178664057053246981382363675092504524514742002945894908096322874997752062243994147109700678060405084465666333319197384256130247615761661<211>

478203476535032772027755071804779233231323975100801399045863663230283253463746419933790959012992948387467206740972570110413709504356625643763974350611446604379537900041502126099641<180>

744618964514252472367655613728912158231529959278650378126817917393833624200116346713205351948807446189645142524723676556137289121582315299592786503781268179173938336242001163467132053519488074461896451425247236765561372891215823153<231>

5978572644721116024725136449426098063<37>
124547949613312242301632104099919138495384841739329932298571331333596785282677909574329118496809952318838564865708680647751822533083224512111172536134450666999388627542066481312437338420915866431<195>

Resuming ECM residue saved by @6ac90a82cbf2 with GMP-ECM 7.0.5-dev on Sat Jan  7 06:25:17 2023 
Input number is 744618964514252472367655613728912158231529959278650378126817917393833624200116346713205351948807446189645142524723676556137289121582315299592786503781268179173938336242001163467132053519488074461896451425247236765561372891215823153 (231 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4057982657
Step 1 took 0ms
Step 2 took 3329ms
********** Factor found in step 2: 5978572644721116024725136449426098063
Found prime factor of 37 digits: 5978572644721116024725136449426098063
Prime cofactor 124547949613312242301632104099919138495384841739329932298571331333596785282677909574329118496809952318838564865708680647751822533083224512111172536134450666999388627542066481312437338420915866431 has 195 digits

297021700772991285594238451674405798890321436706281899111497289754099006778807723166469631223217184710948597419568800867321038291491904308342269034462680927221851076841645526905246315502147944394602953437<204>

22216428941244090618654492146918473434672983824924500894168741251554297383643540549593594605029045195108766437799090518758666544316626906808976362745380696309086248153543558340266898561751955372484544182255696201692377783271831228607<233>

4557146746733075530984180636917629439785344486795733612449715201071492292905253256557907657152857348399208806856948635277016077148092532195826942718036372933425392301044820010368527473261166581257448063858330301479589268381727<226>

921882365437957406958557641711759963<36>
4943306128399709649709913913885738247762573458398881456340286953340278292623313257911609427318972355274847461695673444443879704424191890567876091480071296328471858446973421343254301681855629<190>

Resuming ECM residue saved by @6ac90a82cbf2 with GMP-ECM 7.0.5-dev on Sat Jan  7 07:47:41 2023 
Input number is 4557146746733075530984180636917629439785344486795733612449715201071492292905253256557907657152857348399208806856948635277016077148092532195826942718036372933425392301044820010368527473261166581257448063858330301479589268381727 (226 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:671495186
Step 1 took 0ms
Step 2 took 3221ms
********** Factor found in step 2: 921882365437957406958557641711759963
Found prime factor of 36 digits: 921882365437957406958557641711759963
Prime cofactor 4943306128399709649709913913885738247762573458398881456340286953340278292623313257911609427318972355274847461695673444443879704424191890567876091480071296328471858446973421343254301681855629 has 190 digits

3296565102316680855384061430670002977597447138659108522700755256357509442779895805382464170463628969369449056489810488565096258413058411933442102511856150750064247221908824549056375023639143623933253901222403<208>

99431981817559903425569566433165119360081382465543915881307611599050112477532161375526644898160911278189529931168973873468133671297375554615597708349298749802084857318212528181679326744571227165315768480122586929250732860699<224>

925801843864679435266315271129506388845782662739962896308709490559199086404680937683716100254662736613439141425701721549725797011999460296445015084347915149129226892021075051603<177>

2456147590380975124199519334409314571009705462419706008326966417274301529314722463705020135583735526456816886783965422995842632216363780049084721441883068740662751039065194608206288092244497199146063047102253027197887<217>

228364316775489288221458062291292829894573658094429338182980200227690284864937388157489902133282963571192908821438658316953656819549179902749651296291641847939723490772679171506460743517119671602640495897348180591100898342223513251127481307<240>

319828736286260884804836108508818773<36>

714020633127515815256406830594047449823408440426212085954127557572155120571095428313272530439243992259153699257788735814558700399784865367530242525410978619135116305587895291429031888050681230776804686959<204>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1157991744
Step 1 took 8875ms
Step 2 took 3860ms
********** Factor found in step 2: 319828736286260884804836108508818773
Found prime factor of 36 digits: 319828736286260884804836108508818773
Composite cofactor 714020633127515815256406830594047449823408440426212085954127557572155120571095428313272530439243992259153699257788735814558700399784865367530242525410978619135116305587895291429031888050681230776804686959 has 204 digits
 

GMP-ECM

176499925424088340153276543150884496168361703877024963350577743325696430759861472467647974150108938945334222268955942783029029468974920194048231128036107807316738993736734567829456176295496674269217009278542425231017047687950551565869<234>

8432466190099973967115865400410565352409008294333209764639816680048496848750672898144212379482468438975166916463676923248717234260725357734483671901514184347018674029260778615705376963753071636914897317322071525968161627413393097714160879443<241>

438699651560806489605017888566935593412627453787040960401889777602492866891868158490221900659124078034982550988056567897165833205758575441624196412912282933594938772772909193004188975449608583443293745035507<207>

5595274623619913204979468407533851067142066163781344957840489570329488737067373875743342737072634781120173152148743544802998765723992015621130539063015181405948146493365247501374224522216170608731949463871221412032721070217163856059091269<238>

101303524788032330036013296793145781256745086558688608581952877037724064612410524942803516612501186107589393352474899769632745532543214466551059773203927653986643114254089808070539578754412497669669440837421505525091773840945157281358730129<240>

507077084595523981221011450231008485258828286960478316020740895320743084523000156646108594125784002741924976362154006021726034397355888437669793391378198724067100441679476086950433200047798313397553330727241798879924851<219>

7583648816338656445762687917229799<34>

66864526150399720519878933613919991013099519816111234994801586584408977768948847145279506365594572700172163252017074932591611290850956362266085219966707041011438043304139540596828275349<185>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:164936049
Step 1 took 13146ms
Step 2 took 5622ms
********** Factor found in step 2: 7583648816338656445762687917229799
Found prime factor of 34 digits: 7583648816338656445762687917229799
Composite cofactor 66864526150399720519878933613919991013099519816111234994801586584408977768948847145279506365594572700172163252017074932591611290850956362266085219966707041011438043304139540596828275349 has 185 digits

2231413317828094933986358670749024148146084072022388277953236497423976888140973969488731715488901564419492578012042566228551924037121652187984121855505787506346550342924709811586707445220247919959298291649083612678984499494179526079472127<238>

2536185531421302867061699041233321309763822505747422477469256630599761152115715468797515627349409581684780530607074170752857906768446646464732664876957684062612873354029512262758526631327529730541975634939684824775985600090624225439451475337671209743<250>

518778796453150558692249740259361322076700712984331708330957092459432336947161424656413633341049234680659470912345594366113365731305742163299271756659509623181624432794907474205435577480106355021170870277101399250266674551889978857720943659<240>

10300589094846318876281022729652208748275732688062593425115867195927541463620042916268646342901764496129404462607601083068234738025902106839298546675034168285647857712834596818991932780371285139587543608963<206>

191126119925911266855523330520199721390004882958347205345065600279822712232181062405839097608307768766399529933728667017721321232536806119273511447755477840677063368954738058555679665288444186936443030215790290893009206187778422283009888370743083290233<252>

1422222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<268>

8468546173112597851684437056400527<34>

167941721418221562453579866027113168487742624935604132366410384239575627581204047643505376594668735948343911028754994063653486481605529447810837150375973818992833022949767443430467028052316184718991648585804239306895327711874789333249<234>

Resuming ECM residue saved by @c03b060a97eb with GMP-ECM 7.0.5-dev on Wed Jan  4 09:53:25 2023 
Input number is 1422222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223 (268 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2847117345
Step 1 took 0ms
Step 2 took 4034ms
********** Factor found in step 2: 8468546173112597851684437056400527
Found prime factor of 34 digits: 8468546173112597851684437056400527
Composite cofactor 167941721418221562453579866027113168487742624935604132366410384239575627581204047643505376594668735948343911028754994063653486481605529447810837150375973818992833022949767443430467028052316184718991648585804239306895327711874789333249 has 234 digits

3856406552163537799998964880558888717362001195368319417935566536316412566294235611901480818958235128644731934557177367376376372651660894084929991889290671930342065549527605079908196366161799718957287038680851191022233942144265859954109<235>

17531464907451649155596872850947789<35>

219970582750583163919714992129855098278259957450680845036271117061112024658330934316096883863710026613707426908959909198129800320738941784786722266245639832104987416979308852064266622498588520757768881<201>

Resuming ECM residue saved by @6ac90a82cbf2 with GMP-ECM 7.0.5-dev on Sat Jan  7 05:55:35 2023 
Input number is 3856406552163537799998964880558888717362001195368319417935566536316412566294235611901480818958235128644731934557177367376376372651660894084929991889290671930342065549527605079908196366161799718957287038680851191022233942144265859954109 (235 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:321716328
Step 1 took 0ms
Step 2 took 3475ms
********** Factor found in step 2: 17531464907451649155596872850947789
Found prime factor of 35 digits: 17531464907451649155596872850947789
Composite cofactor 219970582750583163919714992129855098278259957450680845036271117061112024658330934316096883863710026613707426908959909198129800320738941784786722266245639832104987416979308852064266622498588520757768881 has 201 digits

218823596829940835903655221574552027546065346316519102714207562239387043557495592823915784191637546406121979649347527165489381715576640043427338713826326784193319460922939732291253426467856929647244633598715685800829534283128713128617577<237>

282223392764901821944588797501038496978119155128963093986834514269907765263857303886669419713379988639777053583156463660198577465572389007104600118477352986250201812758528128251057652268401347532416210079771609150787208331<222>

2840307126659540587506897509630549501307314715261952512505908438980276180898076761198274843172362720737487276094689685283674004144420111936037114613035880856112461049369329507521755746271819845349355441112607<208>

97922581442045063892807284871100527367612031704129068187620300477098355870439574544851208048265358730966803544153269460944207876461568240477779001504229444485789576236024218903645907219193101763975875237<203>

102598355067135004466549074037204999549015930376394575059844607550796154897154105455753485491043585784501333485960555968033363307492207202745970395757930389503191568174959679905196123610311633748137297411559868277450037<219>

1241801753128502474028369459876395473072991136357823855875695923733728226046793508595201116498790274305324346754527372637959379481193896213876496419881460723157605578619785017083852043618494631233486304243803648738799379215720443814075523680403198231<250>

3668858150163440464851206734739463347519489304117642624495893874150541103550683655887590084440776732812452930054738503711809587179221054980734338583268705537129575384988620377199319231905055454360995405930348046515044797761216896043391585341983010377795222051763633011113<271>

16549017307320715034600822822390665888993774637214029715266304187489833508031345306880417864367350584612681692095518938460364897237895065036380473904770607726805290857087035661136387220058086427058274003131967914599995177266493224532779<236>

428340613781388099865262881616972813<36>
38635181383399766637295961093083293868974517999899477569984442722362889463654687098309889804259934629468091618026516853477284114040341547377734762303981476386740029343497847190171588561315944319516183<200>

Resuming ECM residue saved by @1f395b902b49 with GMP-ECM 7.0.5-dev on Sat Jan  7 19:05:09 2023 
Input number is 16549017307320715034600822822390665888993774637214029715266304187489833508031345306880417864367350584612681692095518938460364897237895065036380473904770607726805290857087035661136387220058086427058274003131967914599995177266493224532779 (236 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3956498383
Step 1 took 0ms
Step 2 took 4097ms
********** Factor found in step 2: 428340613781388099865262881616972813
Found prime factor of 36 digits: 428340613781388099865262881616972813
Prime cofactor 38635181383399766637295961093083293868974517999899477569984442722362889463654687098309889804259934629468091618026516853477284114040341547377734762303981476386740029343497847190171588561315944319516183 has 200 digits

599069805470428590340703733752655126695798651579899926410222973916854823037695015092564753124497841582403828054634165250700009194799508098597030227481073763027498999579049139266680666431915827927624252537029186703060020686195830588342247019101203288985657271078195531417<270>

51847835849562717381375120599370433249<38>
11554384009559024277712473460333945442734150880533364600245975913664474836651668719602908920070315764219578496348284776363589526136260970149671982215543908862875745681667783060421041428127163307805413210952472846596990304826449115833<233>

GPU: factor 51847835849562717381375120599370433249 found in Step 1 with curve 194 (-sigma 3:758193398)
Computing 1792 Step 1 took 298ms of CPU time / 265707ms of GPU time
Throughput: 6.744 curves per second (on average 148.27ms per Step 1)
********** Factor found in step 1: 51847835849562717381375120599370433249
Found prime factor of 38 digits: 51847835849562717381375120599370433249
Prime cofactor 11554384009559024277712473460333945442734150880533364600245975913664474836651668719602908920070315764219578496348284776363589526136260970149671982215543908862875745681667783060421041428127163307805413210952472846596990304826449115833 has 233 digits
Peak memory usage: 9428MB

18492349604520162566124017292469455229395829235499090818791899143149425216087045588470156518237197004471616421047934704638112449630861402147357091951883749464603318094107306221907906022336417595320571726175497722676753556847453347535452050745566771565776700194471052804571<272>

1686059258993492935551301392334994109393589018481477436036449245270982851983671541810908383169780962306258132030102369647334022918528422330684593397296436274200718309878989256698417850003992302596430187424227063499<214>

4740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741<283>

4500275993488663171921090473126672221694846129235269506762719432402690321242357441452464076898466038737531950201633459552011588210683233307667696807968301180970864228782780818979914002538436927577199070411740094998013550049749144771769206158346429839642509325767244319280518375541<280>

32279032790355365949525664782834573227723298209735996322268224635367408437074929427253627691078691412348174024668408529017215091594743874965895499642369751978074890639456491092962779720609890838842563559325827283051038186875027016352590794986706094698244265987289863528057279527<278>

831863090081300065215478753608050792870456722193372226387148720971903877632414531898801088664861573080019727437106765600099940808853679784963610091532848498569058198835580115508613945268484395593952440787837526770080638599701934169063139899845947172355574310565871218977<270>

517384043007225256389553061288736183748595434881136926137841603188762543513974326020514289499430749149567543527168230212856779517681646640247312292907714258579618760252586928012574835302472627634725025621052948233333914513148218675337957963308927435933489853653577<264>

571793600378813260250963784916263507507024573723403780091755004310787690355896844860781659720267849564677450336598810847996712186797821823753556958236731484831834608701090428264472408725212970780453593142050505456608459865003104660564556837624018904925912524513417047490138793962216951<285>

2504495962569372325332086966186963191<37>

228306856519029059015693901726022826503013497248398770231670797334161415316805582446401213072448226527267495777220268434426133187057953001042386719852747018272108734616989861179726319004119385875250763362760819215862297639688709106034135195123055361<249>

Resuming ECM residue saved by @91621bc4ba15 with GMP-ECM 7.0.5-dev on Mon Jan  2 23:58:04 2023 
Input number is 571793600378813260250963784916263507507024573723403780091755004310787690355896844860781659720267849564677450336598810847996712186797821823753556958236731484831834608701090428264472408725212970780453593142050505456608459865003104660564556837624018904925912524513417047490138793962216951 (285 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3171875221
Step 1 took 0ms
Step 2 took 5067ms
********** Factor found in step 2: 2504495962569372325332086966186963191
Found prime factor of 37 digits: 2504495962569372325332086966186963191
Composite cofactor 228306856519029059015693901726022826503013497248398770231670797334161415316805582446401213072448226527267495777220268434426133187057953001042386719852747018272108734616989861179726319004119385875250763362760819215862297639688709106034135195123055361 has 249 digits

24011691113466911680906302115594548326967957988743258731258826055590384993441310179874274005434431435404428636885465776319554999794023101077489520203180945278827935941772434953731025586559306202530172243527004806345892493417346292749244599<239>

16220736755186130267754571874659794657<38>

1480308291532432399815741762294651591661061094596905593223632025912677773464241448950923165689239295657410412861235098611719935408731301921348041649782421111137093776119567246349166618224878840992826007<202>

Resuming ECM residue saved by @6ac90a82cbf2 with GMP-ECM 7.0.5-dev on Sat Jan  7 06:37:09 2023 
Input number is 24011691113466911680906302115594548326967957988743258731258826055590384993441310179874274005434431435404428636885465776319554999794023101077489520203180945278827935941772434953731025586559306202530172243527004806345892493417346292749244599 (239 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2699678039
Step 1 took 0ms
Step 2 took 3489ms
********** Factor found in step 2: 16220736755186130267754571874659794657
Found prime factor of 38 digits: 16220736755186130267754571874659794657
Composite cofactor 1480308291532432399815741762294651591661061094596905593223632025912677773464241448950923165689239295657410412861235098611719935408731301921348041649782421111137093776119567246349166618224878840992826007 has 202 digits

156210732937456288396964884263275609486143523235816301910071287777628401146698643862801402175430537736978930062803964624866628532051314367619277750049819910274872547358279598309212885142869126043540252939491582336485189743822284948822362933856111760271077233881<261>

364071205854017759464658833166259888794568791<45>

429066431032429319163409348979150583372645088936046155513180989950469334440502437403909652747997213677664791316784281382566129977993340136419680612337123700805042382683386914676517562543468647427533564083801015782991<216>

Resuming ECM residue saved by @c03b060a97eb with GMP-ECM 7.0.5-dev on Wed Jan  4 10:06:48 2023 
Input number is 156210732937456288396964884263275609486143523235816301910071287777628401146698643862801402175430537736978930062803964624866628532051314367619277750049819910274872547358279598309212885142869126043540252939491582336485189743822284948822362933856111760271077233881 (261 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1787252532
Step 1 took 0ms
Step 2 took 3945ms
********** Factor found in step 2: 364071205854017759464658833166259888794568791
Found prime factor of 45 digits: 364071205854017759464658833166259888794568791
Composite cofactor 429066431032429319163409348979150583372645088936046155513180989950469334440502437403909652747997213677664791316784281382566129977993340136419680612337123700805042382683386914676517562543468647427533564083801015782991 has 216 digits

9962021842930663752682497128427659008292078070023687423807397339364272779605917891847743300749986927896855952693098439519771027639512091131421905624855410575364177906451814525753084006918633808513923512505916542507441773808639520627023847408884241038792563910871121412771512594775573<283>

497316432303968484112972034738356769210869552486814398322145377689635349788704102759376674611202814736234320231853809898363047732332316557274416413996984926306521509687749953790378813900497626787841485030209777064340709011484048260085714177580166257408217271706710640165872491795641389<285>

103445698938116074475271863157834793093256980559502985176928311294473351996959697283791801141737109150929880030591854220083656199034541666655454686483207029274373663406775095573384466813103956171042022750033212593650781570795720981029234302871018832567009533632277<264>

11599725961872086118082131368922870215226456413569051309893561482042616005482126621344916203904132872437294750631297025750476364425114523286180164832679763631513531620271517626074952950250605419165832895074188325105857611068215351731725407014516409540807932833<260>

80754359807057179775204602055405879335874491688914375606198565065009923532073882546867159141954911335215502602109797564130034114733129382732431963010994600074064167380360190102538690925838415846269520515416342858735720466369418123773441440283323976447892104942573270089893<272>

2415871715169053932413239640782988322943<40>

33426592687023649695028452925484001163436550710876407131028839284761319698869619368569001961400104019375560289023247486510823718443374134553655335834688943700257973202036670418181679617201156871975064739285174281817047975255116178651<233>

Resuming ECM residue saved by @8794f95cd00b with GMP-ECM 7.0.5-dev on Sat Nov 26 09:57:42 2022 
Input number is 80754359807057179775204602055405879335874491688914375606198565065009923532073882546867159141954911335215502602109797564130034114733129382732431963010994600074064167380360190102538690925838415846269520515416342858735720466369418123773441440283323976447892104942573270089893 (272 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3859743211
Step 1 took 0ms
Step 2 took 5150ms
********** Factor found in step 2: 2415871715169053932413239640782988322943
Found prime factor of 40 digits: 2415871715169053932413239640782988322943
Composite cofactor 33426592687023649695028452925484001163436550710876407131028839284761319698869619368569001961400104019375560289023247486510823718443374134553655335834688943700257973202036670418181679617201156871975064739285174281817047975255116178651 has 233 digits