10894296746355768440829681064997874719159317481238592242546336480177737772491364930365798337637473523287005782907027<116>

246932264120632705764288051121364655816593268164378999<54>
44118563384789712069740920587916986321794220137679241718859973<62>

N=10894296746355768440829681064997874719159317481238592242546336480177737772491364930365798337637473523287005782907027
  ( 116 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=246932264120632705764288051121364655816593268164378999 (pp54)
 r2=44118563384789712069740920587916986321794220137679241718859973 (pp62)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.55 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 10894296746355768440829681064997874719159317481238592242546336480177737772491364930365798337637473523287005782907027
m: 500000000000000000000000000000
deg: 4
c4: 244
c0: 5
skew: 0.38
# Murphy_E = 3.428e-08
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 615001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 77982 x 78207
Total sieving time: 0.54 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 0.55 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

37078557734138418059263988226089180012308901748915677895691887657014343842095241505783465859475383889773351<107>

1496303643778073229654256853026089074057<40>
24780102546911785898408495075722766549945326621735991046951394557743<68>

N=37078557734138418059263988226089180012308901748915677895691887657014343842095241505783465859475383889773351
  ( 107 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=1496303643778073229654256853026089074057 (pp40)
 r2=24780102546911785898408495075722766549945326621735991046951394557743 (pp68)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.45 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 37078557734138418059263988226089180012308901748915677895691887657014343842095241505783465859475383889773351
m: 5000000000000000000000000000000
deg: 4
c4: 244
c0: 5
skew: 0.38
# Murphy_E = 2.209e-08
type: snfs
lss: 1
rlim: 850000
alim: 850000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 850000/850000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [425000, 725001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 103241 x 103466
Total sieving time: 0.44 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,125.000,4,0,0,0,0,0,0,0,0,850000,850000,26,26,46,46,2.3,2.3,75000
total time: 0.45 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

491264712164479847632170239943438365290917941963146310838137354578588272527158899579656163585119584431009218985502799<117>

21555287608897686207776944550387747325991368079<47>
22790914279505760061618719446745202422367647248658524941828136526479681<71>

N=491264712164479847632170239943438365290917941963146310838137354578588272527158899579656163585119584431009218985502799
  ( 117 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=21555287608897686207776944550387747325991368079 (pp47)
 r2=22790914279505760061618719446745202422367647248658524941828136526479681 (pp71)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.03 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 491264712164479847632170239943438365290917941963146310838137354578588272527158899579656163585119584431009218985502799
m: 100000000000000000000000000000000
deg: 4
c4: 305
c0: 1
skew: 0.24
# Murphy_E = 1.492e-08
type: snfs
lss: 1
rlim: 1050000
alim: 1050000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1050000/1050000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [525000, 925001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 139841 x 140069
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,130.000,4,0,0,0,0,0,0,0,0,1050000,1050000,26,26,47,47,2.3,2.3,100000
total time: 0.03 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

445953231269403943952492936846063574347513112176782769783888860004668287531531388219533417734104169587094135027634523<117>

4928350332245767862148572757416536255175579<43>
90487323588092086932975247913991615508191293872815280313035571219706223937<74>

N=445953231269403943952492936846063574347513112176782769783888860004668287531531388219533417734104169587094135027634523
  ( 117 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=4928350332245767862148572757416536255175579 (pp43)
 r2=90487323588092086932975247913991615508191293872815280313035571219706223937 (pp74)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.03 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 445953231269403943952492936846063574347513112176782769783888860004668287531531388219533417734104169587094135027634523
m: 1000000000000000000000000000000000
deg: 4
c4: 61
c0: 2
skew: 0.43
# Murphy_E = 9.238e-09
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1295001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 142963 x 143190
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,133.000,4,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,100000
total time: 0.03 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

8798016490009231077938412049390233433643673153550089407909900686579293541827620428873021403650960325610309555415027866985987127119<130>

2330558627222020209500122390523841500584416167<46>
3775067654271496585037385877868308636382007816363082387403007222412448853680551416857<85>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 8798016490009231077938412049390233433643673153550089407909900686579293541827620428873021403650960325610309555415027866985987127119 (130 digits)
Using B1=32630000, B2=144292047916, polynomial Dickson(12), sigma=1:3517856793
Step 1 took 50916ms
Step 2 took 19211ms
********** Factor found in step 2: 2330558627222020209500122390523841500584416167
Found prime factor of 46 digits: 2330558627222020209500122390523841500584416167
Prime cofactor 3775067654271496585037385877868308636382007816363082387403007222412448853680551416857 has 85 digits

113434450440234031574829964472506528644342182505435806035891864344169010546316680870483666270930851393049671957320504221735798623<129>

352875719822403600289932376195188014696764179307<48>
321457227199773557065051036368575844409975356532342056054940010610757963355552989<81>

Number: 1
N=113434450440234031574829964472506528644342182505435806035891864344169010546316680870483666270930851393049671957320504221735798623
  ( 129 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=352875719822403600289932376195188014696764179307 (pp48)
 r2=321457227199773557065051036368575844409975356532342056054940010610757963355552989 (pp81)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.19 hours.
Scaled time: 55.45 units (timescale=7.716).
Factorization parameters were as follows:
n: 113434450440234031574829964472506528644342182505435806035891864344169010546316680870483666270930851393049671957320504221735798623
m: 100000000000000000000000000000000000
deg: 4
c4: 305
c0: 1
skew: 0.24
# Murphy_E = 3.796e-09
type: snfs
lss: 1
rlim: 1660000
alim: 1660000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1660000/1660000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [830000, 1530001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 185937 x 186163
Total sieving time: 7.15 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,142.000,4,0,0,0,0,0,0,0,0,1660000,1660000,26,26,48,48,2.3,2.3,100000
total time: 7.19 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

315596315321320326948662419914202190985771833244447819163825843946782674454370835717221143473139332350782823831785939<117>

9686973995760275149202337504663036376387833271<46>
32579453135669430312640245847770217229754072622765884395860507840781509<71>

315596315321320326948662419914202190985771833244447819163825843946782674454370835717221143473139332350782823831785939=9686973995760275149202337504663036376387833271*32579453135669430312640245847770217229754072622765884395860507840781509

cado polynomial
n: 315596315321320326948662419914202190985771833244447819163825843946782674454370835717221143473139332350782823831785939
skew: 34656.637
c0: 432908862789484417817700900
c1: 137683970103041205322835
c2: -2616268917783341876
c3: -168551425405501
c4: 401208750
c5: 30600
Y0: -40033751022618667003406
Y1: 10075314797445839
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.534e-07
# f(x) = 30600*x^5+401208750*x^4-168551425405501*x^3-2616268917783341876*x^2+137683970103041205322835*x+432908862789484417817700900
# g(x) = 10075314797445839*x-40033751022618667003406

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: 32579453135669430312640245847770217229754072622765884395860507840781509 9686973995760275149202337504663036376387833271
Info:Square Root: Total cpu/real time for sqrt: 277.62/81.7195
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 122.56/132.721
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 97.00s
Info:Square Root: Total cpu/real time for sqrt: 277.62/81.7195
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 30.82/31.2138
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.32/101.482
Info:Generate Factor Base: Total cpu/real time for makefb: 4.03/1.1235
Info:Filtering - Merging: Merged matrix has 466414 rows and total weight 72792999 (156.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 77.64/22.9428
Info:Filtering - Merging: Total cpu/real time for replay: 16.12/13.1266
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7425877
Info:Lattice Sieving: Average J: 1909.75 for 179033 special-q, max bucket fill -bkmult 1.0,1s:1.257590
Info:Lattice Sieving: Total time: 26429.9s
Info:Linear Algebra: Total cpu/real time for bwc: 2818/727.36
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1739.36, WCT time 445.06, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14592 iterations)
Info:Linear Algebra: Lingen CPU time 74.86, WCT time 19.06
Info:Linear Algebra: Mksol: CPU time 964.49,  WCT time 246.75, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 333.64
Info:Polynomial Selection (root optimized): Rootsieve time: 332.44
Info:Quadratic Characters: Total cpu/real time for characters: 17.22/6.81816
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 22057/34.080/41.598/46.930/1.075
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17486/33.230/36.838/42.000/0.857
Info:Polynomial Selection (size optimized): Total time: 2262.02
Info:Generate Free Relations: Total cpu/real time for freerel: 64.55/16.8529
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 57053.2/3520.94
Info:root: Cleaning up computation data in /tmp/cado.zjiqvx_5
32579453135669430312640245847770217229754072622765884395860507840781509 9686973995760275149202337504663036376387833271

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)

48012832116369113561471095501160585743595164732000071716481750737141704108104508997095272842333119329382721667163975249802650297<128>

17546606960561498286312017007105331456378424624078531953<56>
2736302934480996897700469857186574723037622086142529123726919054065698249<73>

Number: 1
N=48012832116369113561471095501160585743595164732000071716481750737141704108104508997095272842333119329382721667163975249802650297
  ( 128 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=17546606960561498286312017007105331456378424624078531953 (pp56)
 r2=2736302934480996897700469857186574723037622086142529123726919054065698249 (pp73)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.23 hours.
Scaled time: 71.23 units (timescale=7.716).
Factorization parameters were as follows:
n: 48012832116369113561471095501160585743595164732000071716481750737141704108104508997095272842333119329382721667163975249802650297
m: 1000000000000000000000000000000000000
deg: 4
c4: 305
c0: 1
skew: 0.24
# Murphy_E = 2.383e-09
type: snfs
lss: 1
rlim: 1930000
alim: 1930000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1930000/1930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [965000, 1865001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 236608 x 236833
Total sieving time: 9.19 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146.000,4,0,0,0,0,0,0,0,0,1930000,1930000,26,26,49,49,2.3,2.3,100000
total time: 9.23 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

16560339637871238022238421397626174676393655590392906656659556134687926434724255707107194635793573639606611<107>

1357826013747037503292773311310292407873153611<46>
12196216209005716784602459971552113073413043251039721399423001<62>

16560339637871238022238421397626174676393655590392906656659556134687926434724255707107194635793573639606611=1357826013747037503292773311310292407873153611*12196216209005716784602459971552113073413043251039721399423001

cado polynomial
n: 16560339637871238022238421397626174676393655590392906656659556134687926434724255707107194635793573639606611
skew: 22632.976
c0: -5404767814662952133723288
c1: -2572673119882339892693
c2: 4967112057450350
c3: 5882196874939
c4: -58723376
c5: 1920
Y0: -517932575308708398204
Y1: 3117410382417167
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.817e-06
# f(x) = 1920*x^5-58723376*x^4+5882196874939*x^3+4967112057450350*x^2-2572673119882339892693*x-5404767814662952133723288
# g(x) = 3117410382417167*x-517932575308708398204

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: 12196216209005716784602459971552113073413043251039721399423001 1357826013747037503292773311310292407873153611
Info:Square Root: Total cpu/real time for sqrt: 115.89/34.1975
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 58.63/61.5884
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 45.1s
Info:Square Root: Total cpu/real time for sqrt: 115.89/34.1975
Info:Generate Free Relations: Total cpu/real time for freerel: 62.9/16.4494
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.5/18.626
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 36.48/40.7186
Info:Filtering - Merging: Merged matrix has 233051 rows and total weight 33901208 (145.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 30.61/9.2844
Info:Filtering - Merging: Total cpu/real time for replay: 7.18/5.86389
Info:Generate Factor Base: Total cpu/real time for makefb: 1.45/0.414705
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4940571
Info:Lattice Sieving: Average J: 1907.54 for 56526 special-q, max bucket fill -bkmult 1.0,1s:1.340140
Info:Lattice Sieving: Total time: 5241.44s
Info:Linear Algebra: Total cpu/real time for bwc: 656.21/171.64
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 389.01, WCT time 100.34, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7424 iterations)
Info:Linear Algebra: Lingen CPU time 32.68, WCT time 8.33
Info:Linear Algebra: Mksol: CPU time 217.12,  WCT time 56.09, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3712 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 177
Info:Polynomial Selection (root optimized): Rootsieve time: 176.35
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): 9939/30.960/37.628/42.740/1.093
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7693/30.380/33.382/38.100/0.903
Info:Polynomial Selection (size optimized): Total time: 502.64
Info:Quadratic Characters: Total cpu/real time for characters: 8.92/3.44294
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 11039.3/3180.57
Info:root: Cleaning up computation data in /tmp/cado.so1q72bw
12196216209005716784602459971552113073413043251039721399423001 1357826013747037503292773311310292407873153611

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)

5467056782662227676344333368678442226077317415717928876597118271909053009877259382517523421270361817288885495066715017727694006277<130>

1872505870255022412892024948979816116838156064895297271<55>
2919647339699742659274186078090279269956051942713017046168036338708207074787<76>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 5467056782662227676344333368678442226077317415717928876597118271909053009877259382517523421270361817288885495066715017727694006277 (130 digits)
Using B1=29480000, B2=144288594466, polynomial Dickson(12), sigma=1:671561947
Step 1 took 46603ms
Step 2 took 19672ms
********** Factor found in step 2: 1872505870255022412892024948979816116838156064895297271
Found prime factor of 55 digits: 1872505870255022412892024948979816116838156064895297271
Prime cofactor 2919647339699742659274186078090279269956051942713017046168036338708207074787 has 76 digits

558898936539331167321366641794066650544451338642992873589163343749065216577849685719601354908434751386495759101237109359417312829970831<135>

1369296041182157647101356907023272919<37>
376580371476045007252035097515674547893<39>
1083872633950286020567787894538487961874440945832859924015493<61>

Number: n
N=408165159125718061070677487280038763549255833749028972736486756277059785604595751417708685902506249  ( 99 digits)
Divisors found:

Thu Nov 10 11:48:19 2022  p39 factor: 376580371476045007252035097515674547893
Thu Nov 10 11:48:19 2022  p61 factor: 1083872633950286020567787894538487961874440945832859924015493
Thu Nov 10 11:48:19 2022  elapsed time 00:03:40 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 558898936539331167321366641794066650544451338642992873589163343749065216577849685719601354908434751386495759101237109359417312829970831 (135 digits)
# Using B1=25010000, B2=96190324246, polynomial Dickson(12), sigma=1:1820386207
# Step 1 took 41076ms
# Step 2 took 14840ms
# ********** Factor found in step 2: 1369296041182157647101356907023272919
# Found prime factor of 37 digits: 1369296041182157647101356907023272919
# Composite cofactor 408165159125718061070677487280038763549255833749028972736486756277059785604595751417708685902506249 has 99 digits
#
n: 408165159125718061070677487280038763549255833749028972736486756277059785604595751417708685902506249

Y0: -513291230221271060889244
Y1: 3591754410059
c0: 6058576964258932803055863657
c1: -4678357853159198792680
c2: -17142723814521103
c3: 6245257970
c4: 5880

# skew 1302445.58, size 1.353e-13, alpha -5.463, combined = 1.387e-08 rroots = 4


skew: 1302445.58

type: gnfs

rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 459804 hash collisions in 7248486 relations (7291454 unique)
Msieve: matrix is 186804 x 187030 (65.3 MB)

Sieving start time : 2022/11/10 11:39:13
Sieving end time  : 2022/11/10 11:44:25

Total sieving time: 0hrs 5min 12secs.

Total relation processing time: 0hrs 1min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 31sec.

Prototype def-par.txt line would be:
gnfs,98,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

287935505165709290552499049364408805770121789827113987785058392234789143743908688986313047125252388450976747565309413275331605172752853844437924829366823499<156>

248442601415881712712737561500842678974440311233539620436272670679<66>
1158961883045646578392954877336135900296688757918697792326602207789981909762484969767121581<91>

Number: n
N=287935505165709290552499049364408805770121789827113987785058392234789143743908688986313047125252388450976747565309413275331605172752853844437924829366823499  ( 156 digits)
SNFS difficulty: 163 digits.
Divisors found:

Wed Nov  9 09:41:16 2022  p66 factor: 248442601415881712712737561500842678974440311233539620436272670679
Wed Nov  9 09:41:16 2022  p91 factor: 1158961883045646578392954877336135900296688757918697792326602207789981909762484969767121581
Wed Nov  9 09:41:16 2022  elapsed time 00:12:03 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 61x10^162+2 = 67(161)8
#
n: 287935505165709290552499049364408805770121789827113987785058392234789143743908688986313047125252388450976747565309413275331605172752853844437924829366823499
m: 100000000000000000000000000000000
deg: 5
c5: 3050
c0: 1
skew: 0.20
# Murphy_E = 3.728e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 21850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2263877 hash collisions in 20428529 relations (18992819 unique)
Msieve: matrix is 779926 x 780174 (127.8 MB)

Sieving start time : 2022/11/09 07:48:16
Sieving end time  : 2022/11/09 09:28:51

Total sieving time: 1hrs 40min 35secs.

Total relation processing time: 0hrs 4min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 45sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

112962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<165>

777962528742967710747712909842495759524404267454029067501380069<63>
145203604016106767670432971538776541984841819880949196549120566828520835296407710782265280388643531927<102>

Number: n
N=112962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963  ( 165 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sun Nov 13 16:25:09 2022  p63 factor: 777962528742967710747712909842495759524404267454029067501380069
Sun Nov 13 16:25:09 2022  p102 factor: 145203604016106767670432971538776541984841819880949196549120566828520835296407710782265280388643531927
Sun Nov 13 16:25:09 2022  elapsed time 00:11:20 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 61x10^164+2 = 67(163)8
#
n: 112962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963
m: 500000000000000000000000000000000
deg: 5
c5: 488
c0: 5
skew: 0.40
# Murphy_E = 3.598e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2677256 hash collisions in 21019860 relations (19119386 unique)
Msieve: matrix is 755200 x 755440 (106.5 MB)

Sieving start time : 2022/11/13 15:14:32
Sieving end time  : 2022/11/13 16:13:18

Total sieving time: 0hrs 58min 46secs.

Total relation processing time: 0hrs 4min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 23sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<166>

12917343936506028854181225956025614559209426142399762812255029257962067829<74>
262351835295758071412385649029472500657672976687327437683274118989935111272692703123290425141<93>

Number: n
N=3388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889  ( 166 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sun Nov 13 13:33:28 2022  p74 factor: 12917343936506028854181225956025614559209426142399762812255029257962067829
Sun Nov 13 13:33:28 2022  p93 factor: 262351835295758071412385649029472500657672976687327437683274118989935111272692703123290425141
Sun Nov 13 13:33:28 2022  elapsed time 00:08:48 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.301).
Factorization parameters were as follows:
#
# N = 61x10^165+2 = 67(164)8
#
n: 3388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 1000000000000000000000000000000000
deg: 5
c5: 61
c0: 2
skew: 0.50
# Murphy_E = 3.396e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 22100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1508849 hash collisions in 13742009 relations (13056728 unique)
Msieve: matrix is 557529 x 557757 (190.4 MB)

Sieving start time : 2022/11/13 11:31:07
Sieving end time  : 2022/11/13 13:23:49

Total sieving time: 1hrs 52min 42secs.

Total relation processing time: 0hrs 4min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 2sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1124718359459987683412063618495532471172177786628020606315385778397294775775410337821143967637612056980813411067966177321990272108090965745872652380899700935544419<163>

4270893372393889154370072300430742615787081165636732273925140353<64>
263344986959852143363425964887303560719555657289487593094051899014821678689036022688457941513777123<99>

Number: n
N=1124718359459987683412063618495532471172177786628020606315385778397294775775410337821143967637612056980813411067966177321990272108090965745872652380899700935544419  ( 163 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sun Nov 13 21:37:36 2022  p64 factor: 4270893372393889154370072300430742615787081165636732273925140353
Sun Nov 13 21:37:36 2022  p99 factor: 263344986959852143363425964887303560719555657289487593094051899014821678689036022688457941513777123
Sun Nov 13 21:37:36 2022  elapsed time 00:08:40 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.303).
Factorization parameters were as follows:
#
# N = 61x10^166+2 = 67(165)8
#
n: 1124718359459987683412063618495532471172177786628020606315385778397294775775410337821143967637612056980813411067966177321990272108090965745872652380899700935544419
m: 1000000000000000000000000000000000
deg: 5
c5: 305
c0: 1
skew: 0.32
# Murphy_E = 3.342e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2046531 hash collisions in 16106456 relations (14994949 unique)
Msieve: matrix is 553894 x 554119 (187.4 MB)

Sieving start time : 2022/11/13 20:39:42
Sieving end time  : 2022/11/13 21:28:35

Total sieving time: 0hrs 48min 53secs.

Total relation processing time: 0hrs 4min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 29sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6818689917281466577241225128549072211044042029957522915269394142633579253297563156718086295551084283478649675832774424323720098367985691929353901184887100380058126537<166>

896245013008802944875256353119316902771620812748751<51>
7608064556354182139638022823918511869104622318665511743878366502630524079348601025194242773693499892018404905485287<115>

Number: n
N=6818689917281466577241225128549072211044042029957522915269394142633579253297563156718086295551084283478649675832774424323720098367985691929353901184887100380058126537  ( 166 digits)
SNFS difficulty: 169 digits.
Divisors found:

Sun Nov 13 06:15:42 2022  p51 factor: 896245013008802944875256353119316902771620812748751
Sun Nov 13 06:15:42 2022  p115 factor: 7608064556354182139638022823918511869104622318665511743878366502630524079348601025194242773693499892018404905485287
Sun Nov 13 06:15:42 2022  elapsed time 00:10:18 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 61x10^168+2 = 67(167)8
#
n: 6818689917281466577241225128549072211044042029957522915269394142633579253297563156718086295551084283478649675832774424323720098367985691929353901184887100380058126537
m: 1000000000000000000000000000000000
deg: 5
c5: 30500
c0: 1
skew: 0.13
# Murphy_E = 2.279e-10
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1675607 hash collisions in 14308831 relations (13472308 unique)
Msieve: matrix is 632305 x 632530 (219.5 MB)

Sieving start time : 2022/11/13 05:15:37
Sieving end time  : 2022/11/13 06:04:59

Total sieving time: 0hrs 49min 22secs.

Total relation processing time: 0hrs 5min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 50sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

680506154053706568397506907270622186706572324050578498932687307772511182398435285540343206076319740785701910053068176752094697801130396903<138>

10476453878888015400505719066721109247619753<44>
64955772432220776119179706779048631471228766738193525562585895467007767079741475059311450721551<95>

680506154053706568397506907270622186706572324050578498932687307772511182398435285540343206076319740785701910053068176752094697801130396903=10476453878888015400505719066721109247619753*64955772432220776119179706779048631471228766738193525562585895467007767079741475059311450721551

cado polynomial
n: 680506154053706568397506907270622186706572324050578498932687307772511182398435285540343206076319740785701910053068176752094697801130396903
skew: 0.13
type: snfs
c0: 1
c5: 30500
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 30500*x^5+1
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5700000
tasks.lim1 = 5700000
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: 64955772432220776119179706779048631471228766738193525562585895467007767079741475059311450721551 10476453878888015400505719066721109247619753
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 302.09/96.5591
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Singleton removal: Total cpu/real time for purge: 126.17/121.286
Info:Generate Free Relations: Total cpu/real time for freerel: 64.24/18.8263
Info:Filtering - Merging: Merged matrix has 982089 rows and total weight 167694136 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 251.4/71.0326
Info:Filtering - Merging: Total cpu/real time for replay: 35.78/34.1664
Info:Generate Factor Base: Total cpu/real time for makefb: 2.44/1.51401
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12388718
Info:Lattice Sieving: Average J: 1892.81 for 671629 special-q, max bucket fill -bkmult 1.0,1s:1.231210
Info:Lattice Sieving: Total time: 89126.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 189.09/202.437
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 144.8s
Info:Linear Algebra: Total cpu/real time for bwc: 16546.9/4598.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 10516.63, WCT time 2838.27, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30720 iterations)
Info:Linear Algebra: Lingen CPU time 127.55, WCT time 130.7
Info:Linear Algebra: Mksol: CPU time 5715.42,  WCT time 1556.97, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (15360 iterations)
Info:Square Root: Total cpu/real time for sqrt: 302.09/96.5591
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 48.68/43.7897
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 43.3s
Info:Quadratic Characters: Total cpu/real time for characters: 34.58/15.2275
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 179992/49672
Info:root: Cleaning up computation data in /tmp/cado.62apeanp
64955772432220776119179706779048631471228766738193525562585895467007767079741475059311450721551 10476453878888015400505719066721109247619753

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)

389387553712878747553246858789860283674468687116942126114213336265668119970870510190178585914215316800028063075236658727017538590794275166864055429817<150>

927463501096597696283117050358124665009<39>
419841377318332915938613295559293047803711494740434582787652071761787330487556902653356194048931887426651698313<111>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 389387553712878747553246858789860283674468687116942126114213336265668119970870510190178585914215316800028063075236658727017538590794275166864055429817 (150 digits)
Using B1=25500000, B2=96190324246, polynomial Dickson(12), sigma=1:743394355
Step 1 took 50194ms
Step 2 took 17881ms
********** Factor found in step 2: 927463501096597696283117050358124665009
Found prime factor of 39 digits: 927463501096597696283117050358124665009
Prime cofactor 419841377318332915938613295559293047803711494740434582787652071761787330487556902653356194048931887426651698313 has 111 digits

108881922126474679782541905619437173695683862352106063859818775269577576322483880439859562890104284729038560029239037728732337005950935688826099<144>

29105081356569743500115017949929699<35>
3740993567155836573902850589015178799441133090192067167087911405480638206953660573711041767049419560002023601<109>

108881922126474679782541905619437173695683862352106063859818775269577576322483880439859562890104284729038560029239037728732337005950935688826099=29105081356569743500115017949929699*3740993567155836573902850589015178799441133090192067167087911405480638206953660573711041767049419560002023601

cado polynomial
n: 108881922126474679782541905619437173695683862352106063859818775269577576322483880439859562890104284729038560029239037728732337005950935688826099
skew: 0.13
type: snfs
c0: 1
c5: 30500
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 30500*x^5+1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6900000
tasks.lim1 = 6900000
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: 29105081356569743500115017949929699 3740993567155836573902850589015178799441133090192067167087911405480638206953660573711041767049419560002023601
Info:Square Root: Total cpu/real time for sqrt: 301.12/93.2847
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 239.91/255.94
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 238.70000000000002s
Info:Square Root: Total cpu/real time for sqrt: 301.12/93.2847
Info:Generate Free Relations: Total cpu/real time for freerel: 120.34/33.9572
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 92.95/88.1359
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 88.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 116.43/105.442
Info:Filtering - Merging: Merged matrix has 1087596 rows and total weight 185839202 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 261.32/73.4352
Info:Filtering - Merging: Total cpu/real time for replay: 38.14/33.0654
Info:Generate Factor Base: Total cpu/real time for makefb: 2.98/1.78235
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22424878
Info:Lattice Sieving: Average J: 1894.28 for 1012963 special-q, max bucket fill -bkmult 1.0,1s:1.216780
Info:Lattice Sieving: Total time: 166107s
Info:Linear Algebra: Total cpu/real time for bwc: 18592.7/5054.74
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 11774.88, WCT time 3175.18, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34048 iterations)
Info:Linear Algebra: Lingen CPU time 223.19, WCT time 58.23
Info:Linear Algebra: Mksol: CPU time 6414.51,  WCT time 1738.49, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (17152 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 36.88/18.6774
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 324451/89223.2
Info:root: Cleaning up computation data in /tmp/cado.psutaigm
29105081356569743500115017949929699 3740993567155836573902850589015178799441133090192067167087911405480638206953660573711041767049419560002023601

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)

190327629312888940599941404474267179999727671963940198730603131013208594393718421762187460818200230183465680837649459527494916190165739<135>

6784399298528346381819326571469192194397<40>
28053718676931986770629950610600549760917787881805379778423318843770018662663311563599931795687<95>

190327629312888940599941404474267179999727671963940198730603131013208594393718421762187460818200230183465680837649459527494916190165739=6784399298528346381819326571469192194397*28053718676931986770629950610600549760917787881805379778423318843770018662663311563599931795687

cado polynomial
n: 190327629312888940599941404474267179999727671963940198730603131013208594393718421762187460818200230183465680837649459527494916190165739
skew: 0.50
type: snfs
c0: 2
c5: 61
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 61*x^5+2
# g(x) = -x+1000000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 6784399298528346381819326571469192194397 28053718676931986770629950610600549760917787881805379778423318843770018662663311563599931795687
Info:Square Root: Total cpu/real time for sqrt: 281.32/93.2372
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 231.08/221.277
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 208.6s
Info:Square Root: Total cpu/real time for sqrt: 281.32/93.2372
Info:Generate Free Relations: Total cpu/real time for freerel: 120.85/32.4329
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 92.37/89.2408
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 89.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 115.76/103.449
Info:Filtering - Merging: Merged matrix has 1180989 rows and total weight 200903900 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 286.39/80.1372
Info:Filtering - Merging: Total cpu/real time for replay: 41.92/36.5802
Info:Generate Factor Base: Total cpu/real time for makefb: 3.21/1.85688
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22412020
Info:Lattice Sieving: Average J: 1895.69 for 1090522 special-q, max bucket fill -bkmult 1.0,1s:1.187120
Info:Lattice Sieving: Total time: 184900s
Info:Linear Algebra: Total cpu/real time for bwc: 21948.8/5858.64
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 13938.65, WCT time 3696.64, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37120 iterations)
Info:Linear Algebra: Lingen CPU time 235.97, WCT time 61.22
Info:Linear Algebra: Mksol: CPU time 7575.78,  WCT time 2010.34, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18688 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 39.79/18.1287
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 364822/99423.7
Info:root: Cleaning up computation data in /tmp/cado._7j4_ky9
6784399298528346381819326571469192194397 28053718676931986770629950610600549760917787881805379778423318843770018662663311563599931795687

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)

99246148858614102386214292530030094878615776260046642378070751634763048301459378503129652121231170201410394486041748014281011769360226986157308847073842197031406575885035717<173>

19750153787799444999814381297223953294598852855405204572182713<62>
5025082332266338896130053637595582195900030048841648318041892325397088105607307955795622072425276365422482240109<112>

Number: n
N=99246148858614102386214292530030094878615776260046642378070751634763048301459378503129652121231170201410394486041748014281011769360226986157308847073842197031406575885035717  ( 173 digits)
SNFS difficulty: 183 digits.
Divisors found:

Thu Nov 17 01:07:19 2022  p62 factor: 19750153787799444999814381297223953294598852855405204572182713
Thu Nov 17 01:07:19 2022  p112 factor: 5025082332266338896130053637595582195900030048841648318041892325397088105607307955795622072425276365422482240109
Thu Nov 17 01:07:19 2022  elapsed time 00:27:42 (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 = 61x10^182+2 = 67(181)8
#
n: 99246148858614102386214292530030094878615776260046642378070751634763048301459378503129652121231170201410394486041748014281011769360226986157308847073842197031406575885035717
m: 1000000000000000000000000000000000000
deg: 5
c5: 3050
c0: 1
skew: 0.20
# Murphy_E = 5.952e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1341010 hash collisions in 12304835 relations (11689799 unique)
Msieve: matrix is 1134313 x 1134538 (394.5 MB)

Sieving start time : 2022/11/16 21:49:33
Sieving end time  : 2022/11/17 00:39:16

Total sieving time: 2hrs 49min 43secs.

Total relation processing time: 0hrs 21min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 9sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8000000,8000000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

194975323264711272322260051862444210516128877116451979540432409349845919735735036899420355173757287865488217118524538605393367858253406082418046660491991007<156>

3050668194734148679433808192056657835349167044194184097983<58>
63912333567204758104336674741861407266524669298888979460458124089914521479764431659055731120226529<98>

Number: n
N=194975323264711272322260051862444210516128877116451979540432409349845919735735036899420355173757287865488217118524538605393367858253406082418046660491991007  ( 156 digits)
SNFS difficulty: 184 digits.
Divisors found:

Thu Dec  8 10:43:15 2022  p58 factor: 3050668194734148679433808192056657835349167044194184097983
Thu Dec  8 10:43:15 2022  p98 factor: 63912333567204758104336674741861407266524669298888979460458124089914521479764431659055731120226529
Thu Dec  8 10:43:15 2022  elapsed time 00:26:32 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.355).
Factorization parameters were as follows:
#
# N = 61x10^183+2 = 67(182)8
#
n: 194975323264711272322260051862444210516128877116451979540432409349845919735735036899420355173757287865488217118524538605393367858253406082418046660491991007
m: 1000000000000000000000000000000000000
deg: 5
c5: 30500
c0: 1
skew: 0.13
# Murphy_E = 5.709e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1344423 hash collisions in 12387450 relations (11777076 unique)
Msieve: matrix is 1137265 x 1137492 (397.6 MB)

Sieving start time : 2022/12/08 07:21:06
Sieving end time  : 2022/12/08 10:16:23

Total sieving time: 2hrs 55min 17secs.

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

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8300000,8300000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

5969611740366906038311206624898956981607724090417109494422816834696557784863021876180466256035668919461129998571207681813822489191088250434020132270938168523118055433227446121807481<181>

5038531572864200296728127646851831029641<40>
18272532742425490540336877447578308566432678262510501542322077<62>
64840051741167494925180264431195783401977704636747783000698676538298238991484133<80>

Number: n
N=5969611740366906038311206624898956981607724090417109494422816834696557784863021876180466256035668919461129998571207681813822489191088250434020132270938168523118055433227446121807481  ( 181 digits)
SNFS difficulty: 186 digits.
Divisors found:

Sat Nov 19 11:53:49 2022  found factor: 5038531572864200296728127646851831029641
Sat Nov 19 11:56:58 2022  p40 factor: 5038531572864200296728127646851831029641
Sat Nov 19 11:56:58 2022  p62 factor: 18272532742425490540336877447578308566432678262510501542322077
Sat Nov 19 11:56:58 2022  p80 factor: 64840051741167494925180264431195783401977704636747783000698676538298238991484133
Sat Nov 19 11:56:58 2022  elapsed time 00:42:02 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.744).
Factorization parameters were as follows:
#
# N = 61x10^185+2 = 67(184)8
#
n: 5969611740366906038311206624898956981607724090417109494422816834696557784863021876180466256035668919461129998571207681813822489191088250434020132270938168523118055433227446121807481
m: 10000000000000000000000000000000000000
deg: 5
c5: 61
c0: 2
skew: 0.50
# Murphy_E = 5.342e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 10150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1330816 hash collisions in 12743430 relations (12185612 unique)
Msieve: matrix is 1317101 x 1317326 (457.7 MB)

Sieving start time : 2022/11/19 08:20:27
Sieving end time  : 2022/11/19 11:14:36

Total sieving time: 2hrs 54min 9secs.

Total relation processing time: 0hrs 30min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 53sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9100000,9100000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

291512650975072854074247669262008478718666284583972056749711905508869520293546901634859230345830738563811202744394602466815034906838590690224485448930697<153>

694474293224520333205015985196464852562168347<45>
419760175170124201672725567672445581139306301113260287562808834668423204363240208436366240128011846674635051<108>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 291512650975072854074247669262008478718666284583972056749711905508869520293546901634859230345830738563811202744394602466815034906838590690224485448930697 (153 digits)
Using B1=32170000, B2=144291357226, polynomial Dickson(12), sigma=1:2182687577
Step 1 took 63951ms
Step 2 took 22534ms
********** Factor found in step 2: 694474293224520333205015985196464852562168347
Found prime factor of 45 digits: 694474293224520333205015985196464852562168347
Prime cofactor 419760175170124201672725567672445581139306301113260287562808834668423204363240208436366240128011846674635051 has 108 digits

75328337488136172048452978822054235769507202391403483767385355662192919359864740741430531514125341129509646372591448431555167687614904726158327732201922201118054667<164>

2637519210379486808427615918508178610027492910235769739<55>
28560299083963037865927688567118742870042630635977445470557270266786900995585413844399181835537446085381351553<110>

Number: n
N=75328337488136172048452978822054235769507202391403483767385355662192919359864740741430531514125341129509646372591448431555167687614904726158327732201922201118054667  ( 164 digits)
SNFS difficulty: 189 digits.
Divisors found:

Tue Nov 22 04:44:50 2022  p55 factor: 2637519210379486808427615918508178610027492910235769739
Tue Nov 22 04:44:50 2022  p110 factor: 28560299083963037865927688567118742870042630635977445470557270266786900995585413844399181835537446085381351553
Tue Nov 22 04:44:50 2022  elapsed time 00:49:05 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 61x10^188+2 = 67(187)8
#
n: 75328337488136172048452978822054235769507202391403483767385355662192919359864740741430531514125341129509646372591448431555167687614904726158327732201922201118054667
m: 10000000000000000000000000000000000000
deg: 5
c5: 30500
c0: 1
skew: 0.13
# Murphy_E = 3.567e-11
type: snfs
lss: 1
rlim: 10100000
alim: 10100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10100000/10100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 17867117)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1626978 hash collisions in 13818549 relations (12610868 unique)
Msieve: matrix is 1415810 x 1416035 (494.5 MB)

Sieving start time : 2022/11/21 23:30:11
Sieving end time  : 2022/11/22 03:40:27

Total sieving time: 4hrs 10min 16secs.

Total relation processing time: 0hrs 36min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 50sec.

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

13630316908321142847162326269140899694010749024663993415199590880861757878718838241861408728179909256428715847235132640723783<125>

1861658709409203417394854797332862864594887<43>
7321598120767644890249568926159068652067631442026975911378866633905998304984545409<82>

13630316908321142847162326269140899694010749024663993415199590880861757878718838241861408728179909256428715847235132640723783=1861658709409203417394854797332862864594887*7321598120767644890249568926159068652067631442026975911378866633905998304984545409

cado polynomial
n: 13630316908321142847162326269140899694010749024663993415199590880861757878718838241861408728179909256428715847235132640723783
skew: 43624.451
c0: 1712180887877303691727984819
c1: 318840588487160965086724
c2: -1146626643063121257
c3: -347441492470584
c4: 1947830218
c5: 26280
Y0: -876179821702465277600750
Y1: 52790667783791137
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.029e-07
# f(x) = 26280*x^5+1947830218*x^4-347441492470584*x^3-1146626643063121257*x^2+318840588487160965086724*x+1712180887877303691727984819
# g(x) = 52790667783791137*x-876179821702465277600750

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: 7321598120767644890249568926159068652067631442026975911378866633905998304984545409 1861658709409203417394854797332862864594887
Info:Square Root: Total cpu/real time for sqrt: 1436.27/190.634
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): 20147/36.590/44.220/47.280/0.870
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15967/35.660/39.590/44.980/0.928
Info:Polynomial Selection (size optimized): Total time: 2713.12
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2660.21
Info:Polynomial Selection (root optimized): Rootsieve time: 2615.4
Info:Generate Factor Base: Total cpu/real time for makefb: 9.05/1.42
Info:Generate Free Relations: Total cpu/real time for freerel: 131.77/16.5844
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11628239
Info:Lattice Sieving: Average J: 3789.23 for 185456 special-q, max bucket fill -bkmult 1.0,1s:1.149530
Info:Lattice Sieving: Total time: 85704.8s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.67/59.1586
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 59.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 151.24/116.41
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 110.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 67.74/77.9405
Info:Filtering - Merging: Merged matrix has 810013 rows and total weight 138196518 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 163.14/24.6526
Info:Filtering - Merging: Total cpu/real time for replay: 27.12/22.1757
Info:Linear Algebra: Total cpu/real time for bwc: 6644.69/1732.78
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1081.52, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Linear Algebra: Lingen CPU time 84.11, WCT time 22.81
Info:Linear Algebra: Mksol: WCT time 601.93, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 40.59/9.97722
Info:Square Root: Total cpu/real time for sqrt: 1436.27/190.634
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 200943/24599
Info:root: Cleaning up computation data in /tmp/cado.w50ci6lx
7321598120767644890249568926159068652067631442026975911378866633905998304984545409 1861658709409203417394854797332862864594887

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)

9939579970180897017614139921000066372557750762413530291568266863379011954197878634539465180112775164283293026032542257169423934992193<133>

657801471616552586922264907873693050139825394069953<51>
15110303638808068612431109122514233525940061891390418103464566235335346169594142081<83>

11/17/22 11:24:00, nfs: commencing nfs on c133: 9939579970180897017614139921000066372557750762413530291568266863379011954197878634539465180112775164283293026032542257169423934992193
11/17/22 11:24:00, nfs: commencing poly selection with 46 threads
11/17/22 11:24:00, nfs: setting deadline of 1956 seconds
11/17/22 11:24:00, nfs: expecting degree 5 poly E from 4.13e-11 to > 4.75e-11
11/17/22 11:24:00, nfs: searching for avg quality poly E > 4.28e-11
11/17/22 11:27:24, nfs: completed 56 ranges of size 250 in 203.8651 seconds
11/17/22 11:27:24, nfs: best poly = # norm 9.244935e-13 alpha -6.325528 e 5.176e-11 rroots 5
11/17/22 11:27:24, nfs: commencing lattice sieving with 46 threads
11/17/22 11:33:36, nfs: commencing lattice sieving with 46 threads
11/17/22 11:39:19, nfs: commencing lattice sieving with 46 threads
11/17/22 11:44:53, nfs: commencing lattice sieving with 46 threads
11/17/22 11:50:19, nfs: commencing lattice sieving with 46 threads
11/17/22 11:56:50, nfs: commencing lattice sieving with 46 threads
11/17/22 12:02:51, nfs: commencing lattice sieving with 46 threads
11/17/22 12:08:45, nfs: commencing lattice sieving with 46 threads
11/17/22 12:14:39, nfs: commencing lattice sieving with 46 threads
11/17/22 12:20:41, nfs: commencing lattice sieving with 46 threads
11/17/22 12:26:37, nfs: commencing lattice sieving with 46 threads
11/17/22 12:32:30, nfs: commencing lattice sieving with 46 threads
11/17/22 12:38:27, nfs: commencing lattice sieving with 46 threads
11/17/22 12:44:21, nfs: commencing lattice sieving with 46 threads
11/17/22 12:50:28, nfs: commencing lattice sieving with 46 threads
11/17/22 12:56:19, nfs: commencing lattice sieving with 46 threads
11/17/22 13:02:22, nfs: commencing lattice sieving with 46 threads
11/17/22 13:08:18, nfs: commencing lattice sieving with 46 threads
11/17/22 13:14:18, nfs: commencing lattice sieving with 46 threads
11/17/22 13:20:14, nfs: commencing lattice sieving with 46 threads
11/17/22 13:26:06, nfs: commencing lattice sieving with 46 threads
11/17/22 13:32:18, nfs: commencing lattice sieving with 46 threads
11/17/22 13:38:01, nfs: commencing lattice sieving with 46 threads
11/17/22 13:43:55, nfs: commencing lattice sieving with 46 threads
11/17/22 13:50:01, nfs: commencing lattice sieving with 46 threads
11/17/22 13:56:01, nfs: commencing lattice sieving with 46 threads
11/17/22 14:02:02, nfs: commencing lattice sieving with 46 threads
11/17/22 14:08:17, nfs: commencing lattice sieving with 46 threads
11/17/22 14:14:25, nfs: commencing lattice sieving with 46 threads
11/17/22 14:20:28, nfs: commencing lattice sieving with 46 threads
11/17/22 14:26:39, nfs: commencing lattice sieving with 46 threads
11/17/22 14:32:47, nfs: commencing lattice sieving with 46 threads
11/17/22 14:38:32, nfs: commencing lattice sieving with 46 threads
11/17/22 14:44:33, nfs: commencing lattice sieving with 46 threads
11/17/22 14:50:39, nfs: commencing lattice sieving with 46 threads
11/17/22 14:56:46, nfs: commencing lattice sieving with 46 threads
11/17/22 15:02:35, nfs: commencing lattice sieving with 46 threads
11/17/22 15:08:37, nfs: commencing lattice sieving with 46 threads
11/17/22 15:14:35, nfs: commencing lattice sieving with 46 threads
11/17/22 15:20:13, nfs: commencing lattice sieving with 46 threads
11/17/22 15:26:10, nfs: commencing lattice sieving with 46 threads
11/17/22 15:32:10, nfs: commencing lattice sieving with 46 threads
11/17/22 15:38:34, nfs: commencing msieve filtering
11/17/22 15:44:04, nfs: commencing msieve linear algebra
11/17/22 16:04:11, nfs: commencing msieve sqrt
11/17/22 16:09:25, prp83 = 15110303638808068612431109122514233525940061891390418103464566235335346169594142081
11/17/22 16:09:25, prp51 = 657801471616552586922264907873693050139825394069953
11/17/22 16:09:25, NFS elapsed time = 17125.3743 seconds.
11/17/22 16:09:25, 
11/17/22 16:09:25, 

Yafu

7518195756504429307819041694688221491107442995830112561636040283314314879367507511774228346290047137946306811697612537443789499452075614256966613729939951597<157>

239726716154272162516351068135914831050932564476966630427047794872758600188321<78>
31361526479452623036057771993616458316332158373282880748233926677569422636401357<80>

Number: n
N=7518195756504429307819041694688221491107442995830112561636040283314314879367507511774228346290047137946306811697612537443789499452075614256966613729939951597  ( 157 digits)
SNFS difficulty: 196 digits.
Divisors found:

Fri Dec 16 06:40:43 2022  p78 factor: 239726716154272162516351068135914831050932564476966630427047794872758600188321
Fri Dec 16 06:40:43 2022  p80 factor: 31361526479452623036057771993616458316332158373282880748233926677569422636401357
Fri Dec 16 06:40:43 2022  elapsed time 00:54:26 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.338).
Factorization parameters were as follows:
#
# N = 61x10^194+2 = 67(193)8
#
n: 7518195756504429307819041694688221491107442995830112561636040283314314879367507511774228346290047137946306811697612537443789499452075614256966613729939951597
m: 500000000000000000000000000000000000000
deg: 5
c5: 488
c0: 5
skew: 0.40
# Murphy_E = 2.201e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 19357097)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2095513 hash collisions in 15074288 relations (13774007 unique)
Msieve: matrix is 1559613 x 1559840 (543.7 MB)

Sieving start time : 2022/12/15 22:26:50
Sieving end time  : 2022/12/16 05:45:56

Total sieving time: 7hrs 19min 6secs.

Total relation processing time: 0hrs 45min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 4sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13000000,13000000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

16090306224015246417846198272704566465632659416035132711402459038966343651991117599258085192558023226701597053130094747210740572089008237579623234499086795734875111<164>

8538873815413080479826419600059773498324329<43>
1884359292787705210633339275534289859066858960542291299823259734624961063995048085771796920745988396080409832234462129359<121>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 16090306224015246417846198272704566465632659416035132711402459038966343651991117599258085192558023226701597053130094747210740572089008237579623234499086795734875111 (164 digits)
Using B1=45730000, B2=240493423186, polynomial Dickson(12), sigma=1:941771018
Step 1 took 110575ms
Step 2 took 35652ms
********** Factor found in step 2: 8538873815413080479826419600059773498324329
Found prime factor of 43 digits: 8538873815413080479826419600059773498324329
Prime cofactor 1884359292787705210633339275534289859066858960542291299823259734624961063995048085771796920745988396080409832234462129359 has 121 digits

21701111954640886122602195427912637600628287472643103357871707537752144512744011859989891923773980617863279982261187148401006273621829202445142558406005370415487202400370923<173>

22329352802869244354937304328635876442527<41>
971864798152697400917965060693605787080518239435711105019686257380839833746104576197478208546007651258484472081723415618177623127349<132>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2604410806
Step 1 took 7860ms
Step 2 took 3913ms
********** Factor found in step 2: 22329352802869244354937304328635876442527
Found prime factor of 41 digits: 22329352802869244354937304328635876442527
Prime cofactor 971864798152697400917965060693605787080518239435711105019686257380839833746104576197478208546007651258484472081723415618177623127349 has 132 digits

265540848261876238988247395640922843176163940820019572586264861022562466801787711334786142472581599920261628237266176958333475006657999104026521677175771687395113372607<168>

6694402260809196722054448059834242483726280463716311754354597425562712850897369<79>
39666102800009893433832078380071897480309387353231269811730899687762900886283355357084503<89>

Number: n
N=265540848261876238988247395640922843176163940820019572586264861022562466801787711334786142472581599920261628237266176958333475006657999104026521677175771687395113372607  ( 168 digits)
SNFS difficulty: 199 digits.
Divisors found:

Tue Feb 21 00:31:46 2023  prp79 factor: 6694402260809196722054448059834242483726280463716311754354597425562712850897369
Tue Feb 21 00:31:46 2023  prp89 factor: 39666102800009893433832078380071897480309387353231269811730899687762900886283355357084503
Tue Feb 21 00:31:46 2023  elapsed time 02:25:13 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
#
# N = 61x10^198+2 = 67(197)8
#
n: 265540848261876238988247395640922843176163940820019572586264861022562466801787711334786142472581599920261628237266176958333475006657999104026521677175771687395113372607
m: 1000000000000000000000000000000000
deg: 6
c6: 61
c0: 2
skew: 0.57
# Murphy_E = 1.516e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 40000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1889761 hash collisions in 13803136 relations (12885665 unique)
Msieve: matrix is 2150984 x 2151210 (614.3 MB)

Sieving start time: 2023/02/20 07:02:25
Sieving end time  : 2023/02/20 22:06:15

Total sieving time: 15hrs 3min 50secs.

Total relation processing time: 2hrs 14min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 44sec.

Prototype def-par.txt line would be:
snfs,199,6,0,0,0,0,0,0,0,0,14400000,14400000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6412860396948296671337251836660761975389909249720859279631698482811908297798633210198375759248235138477530187883278268711260190106616507900728469188662912341845426926925153736965448831<184>

1771434723184215883612241554618206311<37>

3620150555376353790694690939402998526863109913975096898573602447667056065729682798798150346360481783537788636424346696401654620077848001255831393321<148>

Resuming ECM residue saved by @c2e73ad7d341 with GMP-ECM 7.0.5-dev on Wed Nov 23 15:29:48 2022 
Input number is 6412860396948296671337251836660761975389909249720859279631698482811908297798633210198375759248235138477530187883278268711260190106616507900728469188662912341845426926925153736965448831 (184 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3897042568
Step 1 took 0ms
Step 2 took 4173ms
********** Factor found in step 2: 1771434723184215883612241554618206311
Found prime factor of 37 digits: 1771434723184215883612241554618206311
Composite cofactor 3620150555376353790694690939402998526863109913975096898573602447667056065729682798798150346360481783537788636424346696401654620077848001255831393321 has 148 digits

3620150555376353790694690939402998526863109913975096898573602447667056065729682798798150346360481783537788636424346696401654620077848001255831393321<148>

3456905565047119028311838481956948930040103911514805136670933133<64>
1047222866594855814869447634048012510872707148104742259238947101480659337437588717837<85>

3620150555376353790694690939402998526863109913975096898573602447667056065729682798798150346360481783537788636424346696401654620077848001255831393321=3456905565047119028311838481956948930040103911514805136670933133*1047222866594855814869447634048012510872707148104742259238947101480659337437588717837

cado polynomial
n: 3620150555376353790694690939402998526863109913975096898573602447667056065729682798798150346360481783537788636424346696401654620077848001255831393321
skew: 0.50
type: snfs
c0: 2
c5: 61
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 61*x^5+2
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16200000
tasks.lim1 = 16200000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1047222866594855814869447634048012510872707148104742259238947101480659337437588717837 3456905565047119028311838481956948930040103911514805136670933133
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2944.6/165.384
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Merging: Merged matrix has 2638207 rows and total weight 450880015 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 582.05/34.8985
Info:Filtering - Merging: Total cpu/real time for replay: 50.12/43.8245
Info:Linear Algebra: Total cpu/real time for bwc: 95505.2/5018.25
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 8046.0, WCT time 1010.72, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (82944 iterations)
Info:Linear Algebra: Lingen CPU time 564.03, WCT time 30.95
Info:Linear Algebra: Mksol: CPU time 31499.53,  WCT time 3975.72, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (41472 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 166.38/137.132
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 137.1s
Info:Quadratic Characters: Total cpu/real time for characters: 75.28/14.4138
Info:Filtering - Singleton removal: Total cpu/real time for purge: 172.59/90.2226
Info:Generate Free Relations: Total cpu/real time for freerel: 131.28/12.0472
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43288257
Info:Lattice Sieving: Average J: 3793.12 for 1520300 special-q, max bucket fill -bkmult 1.0,1s:1.082200
Info:Lattice Sieving: Total time: 550844s
Info:Square Root: Total cpu/real time for sqrt: 2944.6/165.384
Info:Generate Factor Base: Total cpu/real time for makefb: 2.44/0.378431
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 390.61/231.161
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 210.10000000000002s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.09407e+06/58878.5
1047222866594855814869447634048012510872707148104742259238947101480659337437588717837 3456905565047119028311838481956948930040103911514805136670933133

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)]
13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

816454170317092967298843171566399517505695009813065504672521324319281838185029406013872793740223175790749606454601345386162853437228038371251648516386244211898265681206410491<174>

24410893455810078874533065886653539845750200443779427456170811<62>
33446304281942097508894192780616466554571773693638977833510781401949171914236761650101162775967492109354102466881<113>

Number: n
N=816454170317092967298843171566399517505695009813065504672521324319281838185029406013872793740223175790749606454601345386162853437228038371251648516386244211898265681206410491  ( 174 digits)
SNFS difficulty: 203 digits.
Divisors found:

Thu Aug 10 12:17:28 2023  prp62 factor: 24410893455810078874533065886653539845750200443779427456170811
Thu Aug 10 12:17:28 2023  prp113 factor: 33446304281942097508894192780616466554571773693638977833510781401949171914236761650101162775967492109354102466881
Thu Aug 10 12:17:28 2023  elapsed time 03:34:21 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.102).
Factorization parameters were as follows:
#
# N = 61x10^202+2 = 67(201)8
#
n: 816454170317092967298843171566399517505695009813065504672521324319281838185029406013872793740223175790749606454601345386162853437228038371251648516386244211898265681206410491
m: 10000000000000000000000000000000000000000
deg: 5
c5: 3050
c0: 1
skew: 0.20
# Murphy_E = 8.857e-12
type: snfs
lss: 1
rlim: 17200000
alim: 17200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17200000/17200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3214600 hash collisions in 17220097 relations (14622737 unique)
Msieve: matrix is 2553392 x 2553617 (720.2 MB)

Sieving start time: 2023/08/09 15:52:15
Sieving end time  : 2023/08/10 08:42:46

Total sieving time: 16hrs 50min 31secs.

Total relation processing time: 3hrs 25min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 22sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17200000,17200000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

21048999309868875086266390614216701173222912353347135955831608005521048999309868875086266390614216701173222912353347135955831608005521048999309868875086266390614216701173222912353347135955831608005521049<203>

13229653012208827752253354958392864963247893<44>
33465287885310311169721570925605610012309457189937273848664499481311<68>
47543202772785287043948992027559654383225508014604889419109929017220476683781439364001931563<92>

Number: n
N=21048999309868875086266390614216701173222912353347135955831608005521048999309868875086266390614216701173222912353347135955831608005521048999309868875086266390614216701173222912353347135955831608005521049  ( 203 digits)
SNFS difficulty: 205 digits.
Divisors found:

Wed Nov 15 13:21:18 2023  prp44 factor: 13229653012208827752253354958392864963247893
Wed Nov 15 13:21:18 2023  prp68 factor: 33465287885310311169721570925605610012309457189937273848664499481311
Wed Nov 15 13:21:18 2023  prp92 factor: 47543202772785287043948992027559654383225508014604889419109929017220476683781439364001931563
Wed Nov 15 13:21:18 2023  elapsed time 02:34:30 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
#
# N = 61x10^204+2 = 67(203)8
#
n: 21048999309868875086266390614216701173222912353347135955831608005521048999309868875086266390614216701173222912353347135955831608005521048999309868875086266390614216701173222912353347135955831608005521049
m: 10000000000000000000000000000000000
deg: 6
c6: 61
c0: 2
skew: 0.57
# Murphy_E = 9.611e-12
type: snfs
lss: 1
rlim: 18800000
alim: 18800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18800000/18800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3545554 hash collisions in 20363003 relations (17520818 unique)
Msieve: matrix is 2186683 x 2186908 (618.2 MB)

Sieving start time: 2023/11/14 14:24:57
Sieving end time  : 2023/11/15 10:46:24

Total sieving time: 20hrs 21min 27secs.

Total relation processing time: 2hrs 22min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 14sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18800000,18800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

12596475758296845824359092415844305731795165808818748654308394016807780154504382614592384156321230644131229983709156381392057312792758235796303468733120813175675124320520535106577317<182>

434625455407196380711787520696847697566877<42>
28982369996012611956961547752062342811093539587154292472878080038472013256224696499802082414177166566894413070053653304597567014498121367721<140>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3861464851
Step 1 took 20185ms
Step 2 took 8499ms
********** Factor found in step 2: 434625455407196380711787520696847697566877
Found prime factor of 42 digits: 434625455407196380711787520696847697566877
Prime cofactor 28982369996012611956961547752062342811093539587154292472878080038472013256224696499802082414177166566894413070053653304597567014498121367721 has 140 digits

3388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<208>

16690643464344711899316853801261095711177397944491<50>
34269932824540964324498313232097040036633522928919011164645986436995847347<74>
5924763192675354889183204137900594427945785033001152982786981472842408467701052681257<85>

Number: n
N=3388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889  ( 208 digits)
SNFS difficulty: 208 digits.
Divisors found:

Wed Sep 18 18:17:24 2024  prp50 factor: 16690643464344711899316853801261095711177397944491
Wed Sep 18 18:17:24 2024  prp74 factor: 34269932824540964324498313232097040036633522928919011164645986436995847347
Wed Sep 18 18:17:24 2024  prp85 factor: 5924763192675354889183204137900594427945785033001152982786981472842408467701052681257
Wed Sep 18 18:17:24 2024  elapsed time 04:17:23 (Msieve 1.44 - dependency 6)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.134).
Factorization parameters were as follows:
#
# N = 61x10^207+2 = 67(206)8
#
n: 3388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 100000000000000000000000000000000000000000
deg: 5
c5: 3050
c0: 1
skew: 0.20
# Murphy_E = 5.445e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 74050000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7279084 hash collisions in 25330274 relations (16442235 unique)
Msieve: matrix is 2713004 x 2713229 (763.6 MB)

Sieving start time: 2024/09/16 23:31:30
Sieving end time  : 2024/09/18 13:58:51

Total sieving time: 38hrs 27min 21secs.

Total relation processing time: 3hrs 48min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 21min 6sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

78195301423697343123516156294617283919831379811304846210521764884538156745808140605383910079153243707964215116554059623876215250516179613772705986356814349<155>

37366142076059468861055854565156314227370361405521273544310520644281499503214940839830334487287279971876906316978453709117031786351902268697<140>

10304510256966921522533745799406137079615593080417832315039<59>
3626192914000553049442213051261755516347240767488353579772039844445289262154385223<82>

New best polynomial is:
n: 37366142076059468861055854565156314227370361405521273544310520644281499503214940839830334487287279971876906316978453709117031786351902268697
skew: 99627.731
c0: 39957643853808372214944842910918
c1: -555921830972010721204680463
c2: 9717306595673368088874
c3: -593555822637521
c4: -2304665143128
c5: -1048320
Y0: 656915560822559536939154709
Y1: 2617640347114744760989
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=8.389e+13) = 1.070e-06
# f(x) = -1048320*x^5-2304665143128*x^4-593555822637521*
     x^3+9717306595673368088874*x^2-555921830972010721204680463*
        x+39957643853808372214944842910918
# g(x) = 2617640347114744760989*x+656915560822559536939154709
Factors:
 10304510256966921522533745799406137079615593080417832315039
        3626192914000553049442213051261755516347240767488353579772039844445289262154385223
Total cpu/elapsed time for entire Complete Factorization 894079/126305

CADO-NFS v3.0.0

Ubuntu 20.04.4 LTS, Intel Xeon E5-1620.

1475365556938492858187902342458908543890596698094053088845541544670318547408197805609902007847927878348008920241409384081749621819746429058555953158872785137933774540005167609890699393873096396983<196>

40492481673892378563917403826618446667711879<44>

36435542993398160169512484877156043584188681078401012864744351267504527094896080526707389979001630577196652455373707529822491185213328762076428094973777<152>

Resuming ECM residue saved by @18f24453aee5 with GMP-ECM 7.0.5-dev on Wed Mar 27 23:59:33 2024 
Input number is 1475365556938492858187902342458908543890596698094053088845541544670318547408197805609902007847927878348008920241409384081749621819746429058555953158872785137933774540005167609890699393873096396983 (196 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:268470266
Step 1 took 0ms
Step 2 took 28040ms
********** Factor found in step 2: 40492481673892378563917403826618446667711879
Found prime factor of 44 digits: 40492481673892378563917403826618446667711879
Composite cofactor 36435542993398160169512484877156043584188681078401012864744351267504527094896080526707389979001630577196652455373707529822491185213328762076428094973777 has 152 digits

9533746383159100060938550437275949984116106775590868230112193046231386274115477007922113452886611461817979301401838433754791332321673166051182487828106036195803038544032125647689700611235913933451<196>

75661730048870035474188186847262533799707275929646994616853960457443377738086378407878742774924958448066284636947731388454764208280618193545186177470169432661060256505668427972513705936344918260524422614174791<209>

162944229094508533669024651426364711414557333<45>

464341268600472024429554098185204390221945417952146008853083367172582600962727643092930476290324425848483296037456891660123961723657915584071596576209329774307819627<165>

Resuming ECM residue saved by @18f24453aee5 with GMP-ECM 7.0.5-dev on Thu Mar 28 01:23:21 2024 
Input number is 75661730048870035474188186847262533799707275929646994616853960457443377738086378407878742774924958448066284636947731388454764208280618193545186177470169432661060256505668427972513705936344918260524422614174791 (209 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:269763524
Step 1 took 0ms
Step 2 took 28045ms
********** Factor found in step 2: 162944229094508533669024651426364711414557333
Found prime factor of 45 digits: 162944229094508533669024651426364711414557333
Composite cofactor 464341268600472024429554098185204390221945417952146008853083367172582600962727643092930476290324425848483296037456891660123961723657915584071596576209329774307819627 has 165 digits

143646000445851858055706158165136589335294339631097323368277082623770773229605631450678328893552405095052305337578123911281934168562916244780442902021866200102077253355750426099258335551941<189>

31727348650515526977745478994404235733618974484298796070460809284462059956454649775706575189433577840539855823165932678764507381411416596467351645352818006153447995538803309042671350481759271701826458446351<206>

11164290227021492917952848618364944517472557<44>

2841859894839013585972428972815430314725924104119062485523601268566215233457592685834693370346171134372462886039164914945463362010724602692613685264920619852195243<163>

Resuming ECM residue saved by @18f24453aee5 with GMP-ECM 7.0.5-dev on Thu Mar 28 02:47:53 2024 
Input number is 31727348650515526977745478994404235733618974484298796070460809284462059956454649775706575189433577840539855823165932678764507381411416596467351645352818006153447995538803309042671350481759271701826458446351 (206 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:635383919
Step 1 took 0ms
Step 2 took 27905ms
********** Factor found in step 2: 11164290227021492917952848618364944517472557
Found prime factor of 44 digits: 11164290227021492917952848618364944517472557
Composite cofactor 2841859894839013585972428972815430314725924104119062485523601268566215233457592685834693370346171134372462886039164914945463362010724602692613685264920619852195243 has 163 digits

9148664505287111495023143405765901473717024720938975314898700969943606422113045644941548742416074536848602975069309452219496992533207719124044094803688908665192302531711739613939412103468203534761<196>

1284863740989783935352754541618997895747801<43>
7120338300028231033571122965202601898338759811110051419150509711225052122542442402575946556618937310244381684982449054375439670573343074712355624985498961<154>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2918392532
Step 1 took 34721ms
Step 2 took 15153ms
********** Factor found in step 2: 1284863740989783935352754541618997895747801
Found prime factor of 43 digits: 1284863740989783935352754541618997895747801
Prime cofactor 7120338300028231033571122965202601898338759811110051419150509711225052122542442402575946556618937310244381684982449054375439670573343074712355624985498961 has 154 digits

328350993443260773446415047667057135959539953280329597381278333999306904896734554039695101783089737838232385994630184069596201713622534956276636859934789112840551958205839926164879391213740661<192>

1167076893629562872531661252207664063206100436450272268952150397989494020058135236612668445111028698673795191987596917477189417082518657056833643879155634171<157>

4952579887938728085324047730229594027657719841210132924888764603951272698475877080690248621228224185191529717109644165367793077564037175469736922313976133454890076107274208711811682241849698683<193>

1611586227816018455765090487928873466261<40>

3073108842987781722256623729023992895335665772594650637714498179159465730482344808635976423459003777910102889589173253545980743756370790517556290220765903<154>

GPU: factor 1611586227816018455765090487928873466261 found in Step 1 with curve 1698 (-sigma 3:371854375)
Computing 1792 Step 1 took 4244ms of CPU time / 2513873ms of GPU time
Throughput: 0.713 curves per second (on average 1402.83ms per Step 1)
********** Factor found in step 1: 1611586227816018455765090487928873466261
Found prime factor of 40 digits: 1611586227816018455765090487928873466261
Composite cofactor 3073108842987781722256623729023992895335665772594650637714498179159465730482344808635976423459003777910102889589173253545980743756370790517556290220765903 has 154 digits
Peak memory usage: 9500MB

7000014648850327612126573744354832161831881745689055150666331199341687225635100020050130483268142805106584312719899277803646045026757899110702509469149897948542175790211611863493456104813862359160419610888606694659<214>

43983215489668453508967486086337316770665544359939021143164267435475746712840070412719526064518541977885368205630301986915430927223469293602319<143>

18590764443291355998708885770420305148901241600827606200976899<62>
2365863739698998289130134888255897906575943950281078267578102859183863777988376581<82>

Number: 67778_226
N = 43983215489668453508967486086337316770665544359939021143164267435475746712840070412719526064518541977885368205630301986915430927223469293602319 (143 digits)
Divisors found:
r1=18590764443291355998708885770420305148901241600827606200976899 (pp62)
r2=2365863739698998289130134888255897906575943950281078267578102859183863777988376581 (pp82)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 56.26 hours.
Factorization parameters were as follows:
n: 43983215489668453508967486086337316770665544359939021143164267435475746712840070412719526064518541977885368205630301986915430927223469293602319
# norm 9.516063e-14 alpha -7.116586 e 1.421e-11 rroots 5
skew: 14812941.63
c0: 14800296857080782256196136267406098681
c1: 15591247175561354395689480653805
c2: 2977769317978581818060153
c3: -41022031367466533
c4: -10603787758
c5: 252
Y0: -11178340781956637734504132990
Y1: 178171591396069
type: gnfs
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23940245
Relations: 4138164 relations
Pruned matrix : 2508567 x 2508798
Polynomial selection time: 0.68 hours.
Total sieving time: 51.50 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.45 hours.
time per square root: 0.42 hours.
Prototype def-par.txt line would be: gnfs,142,5,65,2000,1e-05,0.28,250,20,50000,3600,14300000,14300000,28,28,56,56,2.5,2.5,100000
total time: 56.26 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 2.29GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

1249817581148008611872113448853760066952076534601010947957445059754197290001577252937814813949894872203420125679166067929910886628022236920602260428035790641484545468143549966797191909704097084977928237060614434629<214>

89078822413960519057705876198468069701947790173585793060767827457877665853548710280434603287767025165640149094490619008090643157463568893<137>

4390472309106254626605419211980738271920933<43>
20289120655470852240445487456265605394015187841081697347371112431167664558673236792513974192121<95>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3586920724
Step 1 took 21078ms
Step 2 took 9172ms
********** Factor found in step 2: 4390472309106254626605419211980738271920933
Found prime factor of 43 digits: 4390472309106254626605419211980738271920933
Prime cofactor 20289120655470852240445487456265605394015187841081697347371112431167664558673236792513974192121 has 95 digits
 

GMP-ECM

1828758276348005618436277915410979849523931626182473643777694058197000670061539454387849361064635192736459388921327806138175219373333934006626689259246570282330588083571359473187181319947410279180589<199>

167741649893560407756255253770286028437512678824785707809841263556932970293292251653725096864736896309093974030363130418991305483117700182412505010023934626521765283395158413842272100717870009917169704604514568081<213>

2094171153757019940464500461249782637246779<43>

80099303054874826712124962849389087791055608713059846815043723785963018274519984444038762317874713066639403139661895853543685592539370567607767497407605711562211118290339<170>

Resuming ECM residue saved by @98da798cfa0a with GMP-ECM 7.0.5-dev on Fri Feb 23 07:20:02 2024 
Input number is 167741649893560407756255253770286028437512678824785707809841263556932970293292251653725096864736896309093974030363130418991305483117700182412505010023934626521765283395158413842272100717870009917169704604514568081 (213 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3428667000
Step 1 took 0ms
Step 2 took 9917ms
********** Factor found in step 2: 2094171153757019940464500461249782637246779
Found prime factor of 43 digits: 2094171153757019940464500461249782637246779
Composite cofactor 80099303054874826712124962849389087791055608713059846815043723785963018274519984444038762317874713066639403139661895853543685592539370567607767497407605711562211118290339 has 170 digits

36031715456065867359680302708048212603503920050034807434245072851820850800756361527956952201133900012729963828698438631877419464127884961551660931827754259018212744649750064485163637742363334637356967578195753<209>

291842392721563098119097711197887741<36>

123462925039963271220030567492925113527791732353191318658707403849560538046703809736498034165676456139488523795565372633428240911886277260392419976181880429510340819828658333<174>

Resuming ECM residue saved by @c2e73ad7d341 with GMP-ECM 7.0.5-dev on Wed Nov 23 14:26:17 2022 
Input number is 36031715456065867359680302708048212603503920050034807434245072851820850800756361527956952201133900012729963828698438631877419464127884961551660931827754259018212744649750064485163637742363334637356967578195753 (209 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2482304229
Step 1 took 0ms
Step 2 took 3529ms
********** Factor found in step 2: 291842392721563098119097711197887741
Found prime factor of 36 digits: 291842392721563098119097711197887741
Composite cofactor 123462925039963271220030567492925113527791732353191318658707403849560538046703809736498034165676456139488523795565372633428240911886277260392419976181880429510340819828658333 has 174 digits

123462925039963271220030567492925113527791732353191318658707403849560538046703809736498034165676456139488523795565372633428240911886277260392419976181880429510340819828658333<174>

155307596491070949778578527230957947569758589<45>

794957412447378167233851117964019282504288114856403682494557302583593011290573003315331727526451789744751170486475154723814036897<129>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=790647064
Step 1 took 37452ms
Step 2 took 12976ms
********** Factor found in step 2: 155307596491070949778578527230957947569758589
Found probable prime factor of 45 digits: 155307596491070949778578527230957947569758589
Composite cofactor 794957412447378167233851117964019282504288114856403682494557302583593011290573003315331727526451789744751170486475154723814036897 has 129 digits

794957412447378167233851117964019282504288114856403682494557302583593011290573003315331727526451789744751170486475154723814036897<129>

1383696147729431086678765125731970150239546730015925803101<58>
574517327197780633077237533247337561105667359651053549887295371930226197<72>

794957412447378167233851117964019282504288114856403682494557302583593011290573003315331727526451789744751170486475154723814036897=1383696147729431086678765125731970150239546730015925803101*574517327197780633077237533247337561105667359651053549887295371930226197

cado polynomial
n: 794957412447378167233851117964019282504288114856403682494557302583593011290573003315331727526451789744751170486475154723814036897
skew: 24463.072
c0: -36744975245018690535772416180
c1: 190244043849046929402209
c2: 113966189450077364715
c3: -7055924504898002
c4: -339351717852
c5: 4241160
Y0: -7187003260744464321968126
Y1: 264106801105398509
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.848e-07
# f(x) = 4241160*x^5-339351717852*x^4-7055924504898002*x^3+113966189450077364715*x^2+190244043849046929402209*x-36744975245018690535772416180
# g(x) = 264106801105398509*x-7187003260744464321968126

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 574517327197780633077237533247337561105667359651053549887295371930226197 1383696147729431086678765125731970150239546730015925803101
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 805.6/247.835
Info:HTTP server: Got notification to stop serving Workunits
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24280154
Info:Lattice Sieving: Average J: 7626.28 for 65192 special-q, max bucket fill -bkmult 1.0,1s:1.069580
Info:Lattice Sieving: Total time: 92500.1s
Info:Generate Factor Base: Total cpu/real time for makefb: 38.6/10.5538
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 355.7/360.923
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 292.50000000000006s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 40925.7
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 28195/38.600/45.991/48.900/0.851
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 22192/37.020/41.187/46.760/0.887
Info:Polynomial Selection (size optimized): Total time: 4636.88
Info:Linear Algebra: Total cpu/real time for bwc: 50655.5/13847.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 32272.23, WCT time 8608.78, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51968 iterations)
Info:Linear Algebra: Lingen CPU time 246.49, WCT time 251.26
Info:Linear Algebra: Mksol: CPU time 17767.86,  WCT time 4783.48, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26112 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 63.86/28.1613
Info:Square Root: Total cpu/real time for sqrt: 805.6/247.835
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 101.79/108.265
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 107.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 217.42/235.381
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5088.82
Info:Polynomial Selection (root optimized): Rootsieve time: 5086.36
Info:Filtering - Merging: Merged matrix has 1658372 rows and total weight 282556568 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 450.49/137.396
Info:Filtering - Merging: Total cpu/real time for replay: 69.15/97.8366
Info:Generate Free Relations: Total cpu/real time for freerel: 252.56/66.0009
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 233531/15673.7
574517327197780633077237533247337561105667359651053549887295371930226197 1383696147729431086678765125731970150239546730015925803101

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)

716456262896224138174465718216877758691022662428791674855677215604079130374014568229729186576069163217709096691978983041630301275409460715178917168508001297503617901503811377903598210278281992087960390314427458783203177743<222>

144127613923706185492098370857358484256956741097611041718751457707278767676911167351964779462811879917638387910837413366619142209303488504824908854814731971878694003903413244607251435069738233688247922160209509<210>

3943506279819816258049855866568066270599384746855627612491943882501673309341977868676752186209201756101434295917455540279728284249797997066938237808588327291331026174563220105347910019191<187>

36392570256251161173872272086020226420434473775721971731385673261988526315937067448618251587924709845821504958545374951459022535541157386491147130403858541180023061118749178031566366261<185>

145303800864229141352779515033594878611349<42>
250458487939046585139511544369331517160090323787746116294306251244946788598878206504199066224291359505813333206377119368928395375704940407673889<144>

Resuming ECM residue saved by @c2e73ad7d341 with GMP-ECM 7.0.5-dev on Wed Nov 23 14:15:55 2022 
Input number is 36392570256251161173872272086020226420434473775721971731385673261988526315937067448618251587924709845821504958545374951459022535541157386491147130403858541180023061118749178031566366261 (185 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2427393720
Step 1 took 0ms
Step 2 took 3023ms
********** Factor found in step 2: 145303800864229141352779515033594878611349
Found prime factor of 42 digits: 145303800864229141352779515033594878611349
Prime cofactor 250458487939046585139511544369331517160090323787746116294306251244946788598878206504199066224291359505813333206377119368928395375704940407673889 has 144 digits

45409490253708719305561192509988084621690994049184441302369466220190941501879747443935144671580155043926077338685840605670308503040924782936722862725696359995455756201479851134412499488839511<191>

243096170452508816821093137158834601946204226404638198096605538192906968905861743030725383945513913654890548858453585725809725766419606144870141558575431095730424238599970394677134010838535013619883<198>

118839745699411122943255377450069969427382281756291643370788790304630634752618378936342988920586946615537310087498289644183555182373902175140923628151494080927628966006349960828648679081175711190329409<201>

11180351600785565546788347936830545978080869179017848096306660629994371255150163593982755036128180693027995935660262808052579261039096538442845720157554997958516559<164>

3521697509770853162720014552655865519927855879618802424832615227008575701516348041304868856043571164773384100449738823620748977507518957850954213839082234590122946098293284071958241278227517140669816348686684480020424808474251<226>

93875038473376423514927670052323791935980301631271160357032933210218528778085564789165897199138196368113265620190827947060634041243459526008002462296091104955370883348722683902739304401354262850107725453985841797476146506617420744844567559249<242>

60345971023524015086171546842652243356565227997280833852316737797347812884925394412769029069843023446988254950154656991155854550983616319761478717343798081709370277263228265922397476526354535313541764399<203>

87245807195347653087786445148131938544625515250853149573639752050276469090669847562981460981100555798699608395049014980534173181497023630741417730064333055863061269440797283651852042553069765180055322423316656511826812781939831858736165818523<242>

3105518400428026712694501413990222193019368673836622083289378720861378742246607683953774169593594021984265300521620669034628405643863131518516514690096167949041458889780056734515583751012279514624919471882603732273<214>

536044616828366812726020163132264385709329437522122502244793284601382232961936070316146186388167636455502947321811858690624577078043365733416713904784923081537103763264880082020543794003136807230787652516158565269<213>

1168582375478927203065134099616858237547892720306513409961685823754789272030651340996168582375478927203065134099616858237547892720306513409961685823754789272030651340996168582375478927203065134099616858237547892720306513409961685823754789272030651341<250>

396235024733585895538760613080599834855295642566836478045267039996007177330565285337183681839881153947426172051079019755845592604334530376361672591438428819498774518404456875254356984450091240448040693795373636733796761685700244143484300295109<243>

434417843527550708230700319035051975762261929741<48>

912105777046556181341144076565815436030593116220106219958802024594156643926939791091489828516233333043730537906748446689087769074450413656424168011395853559070348327469973195008264957571779645849<195>

Resuming ECM residue saved by @2ec560741aa9 with GMP-ECM 7.0.5-dev on Thu Apr  4 10:18:44 2024 
Input number is 396235024733585895538760613080599834855295642566836478045267039996007177330565285337183681839881153947426172051079019755845592604334530376361672591438428819498774518404456875254356984450091240448040693795373636733796761685700244143484300295109 (243 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:1550456962
Step 1 took 0ms
Step 2 took 33760ms
********** Factor found in step 2: 434417843527550708230700319035051975762261929741
Found prime factor of 48 digits: 434417843527550708230700319035051975762261929741
Composite cofactor 912105777046556181341144076565815436030593116220106219958802024594156643926939791091489828516233333043730537906748446689087769074450413656424168011395853559070348327469973195008264957571779645849 has 195 digits

69583895648388652393207740881452145683744821705647173866717783572036234209163337788519029175521272363609444085049372628049205377211757390799925600469087073433284739677749945719294987<182>

697910925258931504437891699002725331095474974002832732732509322703847778650944025281037648241291576353933827611613195915679778134832551456891191191156559064699997835233891606705382167050236786594867997468334178660903537694506661<228>

19384978193349926535346252922379057966256134659357612869795646171671021061853815229577670460279961003832263178364205375311413946663396097292502570271337722096893334567933603348885572405334959867116418244359159313913059<218>

163725898758404938848504404207343669926230852070671124761548098237695776442169955844660155682981353441439146642330787293766166964079331453407697605990852133013202413136605505957198416545295044149147190396013524193135830397268231<228>

1228562415122647137670426247241014236012191569567002824265745459032753510776318361882750104161395387293751300850966387973281483412116103072797957459068068543854036706387136515824087899977805104105350548026143269927457652874598910556513<235>

285123925608643760838799065503996736312625951157056260933450860480636673312391214705514193889691442627036497638659738061791122325362296689112930856139274343717172770982947439133754251034135129857121128963608184384127179106343091208900204101989108639974767<255>

39422645660212985690225898222361817164232156728928595894616159148574257400147608725717912228387665494327662935087059419621103136103775913926792793281864161195966740212520373752531774006129251990843605840755777356407860229271766793723914810894092678116037003<257>

243309582471225815115853792452665983693241374384914150728729869804847205655842475166982196752150120792087064660780820290336553072714353536904909651453639423549710630165425940078592097595628535429089209363247<207>

101467152358026027746654340902096650339967<42>
2397914761741907549492801050911929136023440400462508764146124494247599559874127868417235128531762508624952827383793927443306929658936001453054096934687321435325653841<166>

Resuming ECM residue saved by @25f4e46a9291 with GMP-ECM 7.0.5-dev on Tue Dec 13 16:35:30 2022 
Input number is 243309582471225815115853792452665983693241374384914150728729869804847205655842475166982196752150120792087064660780820290336553072714353536904909651453639423549710630165425940078592097595628535429089209363247 (207 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:707109925
Step 1 took 0ms
Step 2 took 9710ms
********** Factor found in step 2: 101467152358026027746654340902096650339967
Found prime factor of 42 digits: 101467152358026027746654340902096650339967
Prime cofactor 2397914761741907549492801050911929136023440400462508764146124494247599559874127868417235128531762508624952827383793927443306929658936001453054096934687321435325653841 has 166 digits

2845629308500592121544122088263232982687439982035957060568252735537102504951272659028940336060970878755757144681313738782246366172184412719109953298204739058880785313425726015060389321337480538414492198556351517485284403330420284401090471656880095683<250>

260932197369768193131169825102151765097294516420844240241585310248429429978372575307972127978844343868880162910250025377929245530505936131196479148805230943739340669368891082310161953465847455226368535246750856134565979432813911<228>

3480039871924463739514879449268050527<37>
74979657409922881499781522950166686083223907855844832017626747206509634972783622995337263387529111014177209243741261252828462402743947973330389524681217985153909161635703412958698628417398793<191>

Resuming ECM residue saved by @c2e73ad7d341 with GMP-ECM 7.0.5-dev on Wed Nov 23 13:49:26 2022 
Input number is 260932197369768193131169825102151765097294516420844240241585310248429429978372575307972127978844343868880162910250025377929245530505936131196479148805230943739340669368891082310161953465847455226368535246750856134565979432813911 (228 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3092867319
Step 1 took 0ms
Step 2 took 5063ms
********** Factor found in step 2: 3480039871924463739514879449268050527
Found prime factor of 37 digits: 3480039871924463739514879449268050527
Prime cofactor 74979657409922881499781522950166686083223907855844832017626747206509634972783622995337263387529111014177209243741261252828462402743947973330389524681217985153909161635703412958698628417398793 has 191 digits

584229814876542622188270655135747158571566198057061895914517408029852637813743147995488369133814089909517871088158785116034707071704330159773535338991939774458051581307361851571285634432245448887<195>

18840985934592034405048872923557161160320681228460943722869129528037301121958536068467627259201586721799724986725610311813561593828033004120519253015103879222339413432550355311109351883368374646979157470316363025809295109064765797306228368319317948100554691<257>

1719063876029463582583601443260730730925657794114334177331966378926285742909682256491545769128242943192716213192087111873808913950320034779901677197695383849667903689430406634559090220736076210698886941452678863333<214>

2760371177775953284551078978647219155218029<43>
622765478016084452258428267216909527311544115096424860874794400981723900825344472637551888991880008585847105173888788353858937489384521865972254546871859246028972564581977<171>

Resuming ECM residue saved by @25f4e46a9291 with GMP-ECM 7.0.5-dev on Tue Dec 13 16:46:13 2022 
Input number is 1719063876029463582583601443260730730925657794114334177331966378926285742909682256491545769128242943192716213192087111873808913950320034779901677197695383849667903689430406634559090220736076210698886941452678863333 (214 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1126912057
Step 1 took 0ms
Step 2 took 10441ms
********** Factor found in step 2: 2760371177775953284551078978647219155218029
Found prime factor of 43 digits: 2760371177775953284551078978647219155218029
Prime cofactor 622765478016084452258428267216909527311544115096424860874794400981723900825344472637551888991880008585847105173888788353858937489384521865972254546871859246028972564581977 has 171 digits

105065482339759759806900848612671537802118297165498755697786365884872389659723655331364195335824291517534070310440372571183095748627006567374556737701237147816097107708131363773638255728330942242102203990599125249052250435276797926120404565026009182908199<255>

12487643428257161167566736867961504574372621063018442518984261555468780159030527615134021790907683632210002929500894842201936010170204926128685982629333136491687066821230767638311518273636981576445665148550465003078050784091308584924187252318791325783<251>

23297969959537065342370601589602030227133008376245746293222651548122491261562001899547892355333420829686416525585530896322900541753048509509988548416619258501071227518570623700829162954581305744797011880837206206361539442570483315090980417006487165363168811<257>