608445206018690413009040047450363637800860754229399261751047721620406238452223503412039225283008098539<102>

46325046183721066841399107834764614459839131073<47>
13134260106415223723382961578806570948658868693186748843<56>

N=608445206018690413009040047450363637800860754229399261751047721620406238452223503412039225283008098539
  ( 102 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=46325046183721066841399107834764614459839131073 (pp47)
 r2=13134260106415223723382961578806570948658868693186748843 (pp56)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.48 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 608445206018690413009040047450363637800860754229399261751047721620406238452223503412039225283008098539
m: 10000000000000000000000000000
deg: 4
c4: 124
c0: -7
skew: 0.49
# Murphy_E = 7.3e-08
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 580001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 62473 x 62701
Total sieving time: 0.46 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,4,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,20000
total time: 0.48 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)

3039908512313731737738226600404637919166306739577885107603408765614204384412598843008966342746926253203<103>

177166929101230295043388426832832649721<39>
17158442197622433087317224912222897357108388486613751337944651243<65>

N=3039908512313731737738226600404637919166306739577885107603408765614204384412598843008966342746926253203
  ( 103 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=177166929101230295043388426832832649721 (pp39)
 r2=17158442197622433087317224912222897357108388486613751337944651243 (pp65)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.54 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3039908512313731737738226600404637919166306739577885107603408765614204384412598843008966342746926253203
m: 2000000000000000000000000000000
deg: 4
c4: 775
c0: -7
skew: 0.31
# Murphy_E = 2.958e-08
type: snfs
lss: 1
rlim: 820000
alim: 820000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 820000/820000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [410000, 785001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 71530 x 71756
Total sieving time: 0.53 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,124.000,4,0,0,0,0,0,0,0,0,820000,820000,25,25,46,46,2.2,2.2,75000
total time: 0.54 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)

22789709941340516770050857384288646818076258603760591763192678457962570625273660410729354041728638041357<104>

12120088291834993027491601572897611615778472389227<50>
1880325406267327839749177088968678996847603476078937191<55>

N=22789709941340516770050857384288646818076258603760591763192678457962570625273660410729354041728638041357
  ( 104 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=12120088291834993027491601572897611615778472389227 (pp50)
 r2=1880325406267327839749177088968678996847603476078937191 (pp55)
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: 22789709941340516770050857384288646818076258603760591763192678457962570625273660410729354041728638041357
m: 200000000000000000000000000000000
deg: 4
c4: 775
c0: -7
skew: 0.31
# Murphy_E = 1.214e-08
type: snfs
lss: 1
rlim: 1110000
alim: 1110000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1110000/1110000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [555000, 1255001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 126702 x 126928
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,132.000,4,0,0,0,0,0,0,0,0,1110000,1110000,26,26,47,47,2.3,2.3,100000
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)

12447986049737118886710682820647119046477103114572077651987199119061881293670026263449069813104719357092590309<110>

292074156590967168561173314277699866151917<42>
42619265583191592544926448246112162436084398200533220768841721353177<68>

N=12447986049737118886710682820647119046477103114572077651987199119061881293670026263449069813104719357092590309
  ( 110 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=292074156590967168561173314277699866151917 (pp42)
 r2=42619265583191592544926448246112162436084398200533220768841721353177 (pp68)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.04 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 12447986049737118886710682820647119046477103114572077651987199119061881293670026263449069813104719357092590309
m: 1000000000000000000000000000000000
deg: 4
c4: 124
c0: -7
skew: 0.49
# Murphy_E = 8.054e-09
type: snfs
lss: 1
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [600000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 156424 x 156650
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,100000
total time: 0.04 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)

1164073734198965223127273591486529471583682952787631732345457554619285418524484928375467822341045611902065887194820832431399147<127>

72775660587210893073551450762631211669429489006951682281057<59>
15995371595479983053429610844097121958908758809097252815728205511371<68>

N=1164073734198965223127273591486529471583682952787631732345457554619285418524484928375467822341045611902065887194820832431399147
  ( 127 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=72775660587210893073551450762631211669429489006951682281057 (pp59)
 r2=15995371595479983053429610844097121958908758809097252815728205511371 (pp68)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.86 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1164073734198965223127273591486529471583682952787631732345457554619285418524484928375467822341045611902065887194820832431399147
m: 1000000000000000000000000000000000
deg: 4
c4: 1240
c0: -7
skew: 0.27
# Murphy_E = 7.392e-09
type: snfs
lss: 1
rlim: 1250000
alim: 1250000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1250000/1250000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [625000, 1525001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 156921 x 157146
Total sieving time: 1.82 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,135.000,4,0,0,0,0,0,0,0,0,1250000,1250000,26,26,47,47,2.3,2.3,100000
total time: 1.86 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)

154050191829743277266138534563311609570193269414767235626475495718395079427086889952432940899312924413466301197918107719657<123>

2665218157038024662769915956618329497190497403<46>
57800218501042368311319042743792807711062459116183794736297184619617216023019<77>

Number: 1
N=154050191829743277266138534563311609570193269414767235626475495718395079427086889952432940899312924413466301197918107719657
  ( 123 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=2665218157038024662769915956618329497190497403 (pp46)
 r2=57800218501042368311319042743792807711062459116183794736297184619617216023019 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.17 hours.
Scaled time: 24.74 units (timescale=7.794).
Factorization parameters were as follows:
n: 154050191829743277266138534563311609570193269414767235626475495718395079427086889952432940899312924413466301197918107719657
m: 2000000000000000000000000000000000
deg: 4
c4: 775
c0: -7
skew: 0.31
# Murphy_E = 7.719e-09
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 178216 x 178443
Total sieving time: 3.14 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,136.000,4,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,100000
total time: 3.17 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

169085142043046284343058066858555338156881382739310180750417594594472407176912884696688542689317602678799822699793050950620293099713<132>

2424582597600704971529938303677133926769300510457717357297<58>
69737835374372449118893077861591834472972267344924539453414533615480517329<74>

Number: n
N=169085142043046284343058066858555338156881382739310180750417594594472407176912884696688542689317602678799822699793050950620293099713  ( 132 digits)
SNFS difficulty: 146 digits.
Divisors found:

Wed Nov  9 03:17:33 2022  p58 factor: 2424582597600704971529938303677133926769300510457717357297
Wed Nov  9 03:17:33 2022  p74 factor: 69737835374372449118893077861591834472972267344924539453414533615480517329
Wed Nov  9 03:17:33 2022  elapsed time 00:03:50 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.300).
Factorization parameters were as follows:
#
# N = 62x10^145-35 = 68(144)5
#
n: 169085142043046284343058066858555338156881382739310180750417594594472407176912884696688542689317602678799822699793050950620293099713
m: 1000000000000000000000000000000000000
deg: 4
c4: 124
c0: -7
skew: 0.49
# Murphy_E = 2.025e-09
type: snfs
lss: 1
rlim: 1910000
alim: 1910000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1910000/1910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6555000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 618491 hash collisions in 7147907 relations (7289185 unique)
Msieve: matrix is 290084 x 290309 (97.0 MB)

Sieving start time : 2022/11/09 02:46:19
Sieving end time  : 2022/11/09 03:13:30

Total sieving time: 0hrs 27min 11secs.

Total relation processing time: 0hrs 1min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 28sec.

Prototype def-par.txt line would be:
snfs,146,4,0,0,0,0,0,0,0,0,1910000,1910000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

13777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<149>

65723097883188043898296478585429505410173<41>
209633724239011118602804846629077528562765375428027476613454721411802883919776283131735057531961473149894149<108>

Number: n
N=13777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777  ( 149 digits)
SNFS difficulty: 149 digits.
Divisors found:

Tue Nov  8 20:57:49 2022  p41 factor: 65723097883188043898296478585429505410173
Tue Nov  8 20:57:49 2022  p108 factor: 209633724239011118602804846629077528562765375428027476613454721411802883919776283131735057531961473149894149
Tue Nov  8 20:57:49 2022  elapsed time 00:04:22 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.303).
Factorization parameters were as follows:
#
# N = 62x10^148-35 = 68(147)5
#
n: 13777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 10000000000000000000000000000000000000
deg: 4
c4: 62
c0: -35
skew: 0.87
# Murphy_E = 1.442e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 887272 hash collisions in 7701282 relations (7570184 unique)
Msieve: matrix is 303784 x 304009 (102.8 MB)

Sieving start time : 2022/11/08 20:20:31
Sieving end time  : 2022/11/08 20:50:00

Total sieving time: 0hrs 29min 29secs.

Total relation processing time: 0hrs 1min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 40sec.

Prototype def-par.txt line would be:
snfs,149,4,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

5608145467757235192994689440528554374387705582588905872227420865364467737144607389241251590528143073407915999231131663181<121>

6246702131599092382291931508354256712749<40>
12214534562294938308895160701184727250921<41>
73500712640636720216949066397760837117689<41>

5608145467757235192994689440528554374387705582588905872227420865364467737144607389241251590528143073407915999231131663181=6246702131599092382291931508354256712749*12214534562294938308895160701184727250921*73500712640636720216949066397760837117689

cado polynomial
n: 5608145467757235192994689440528554374387705582588905872227420865364467737144607389241251590528143073407915999231131663181
skew: 13121.334
c0: 86159374941464001802083132
c1: -45975999996515260863757
c2: -3563504688850147498
c3: 470033005647153
c4: 16555360470
c5: -414000
Y0: -217599982321947865133178
Y1: 823005582982927133
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.389e-06
# f(x) = -414000*x^5+16555360470*x^4+470033005647153*x^3-3563504688850147498*x^2-45975999996515260863757*x+86159374941464001802083132
# g(x) = 823005582982927133*x-217599982321947865133178

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

cado log (extracts)
Info:Square Root: Factors: 73500712640636720216949066397760837117689 6246702131599092382291931508354256712749 12214534562294938308895160701184727250921
Info:Square Root: Total cpu/real time for sqrt: 1127.25/148.976
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20145/35.690/43.189/49.340/1.033
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16164/34.770/38.239/43.640/0.855
Info:Polynomial Selection (size optimized): Total time: 3036.19
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1960.71
Info:Polynomial Selection (root optimized): Rootsieve time: 1913.44
Info:Generate Factor Base: Total cpu/real time for makefb: 5.35/0.827898
Info:Generate Free Relations: Total cpu/real time for freerel: 131.85/16.5847
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13447042
Info:Lattice Sieving: Average J: 1896.73 for 267977 special-q, max bucket fill -bkmult 1.0,1s:1.156920
Info:Lattice Sieving: Total time: 54404.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 32.82/55.8189
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 55.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 152.45/103.335
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 98.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 60.66/55.4898
Info:Filtering - Merging: Merged matrix has 738955 rows and total weight 75054226 (101.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 52.82/9.59465
Info:Filtering - Merging: Total cpu/real time for replay: 16.42/12.923
Info:Linear Algebra: Total cpu/real time for bwc: 3531.33/929.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 561.07, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23296 iterations)
Info:Linear Algebra: Lingen CPU time 79.3, WCT time 21.45
Info:Linear Algebra: Mksol: WCT time 331.77, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11776 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 31.13/7.18238
Info:Square Root: Total cpu/real time for sqrt: 1127.25/148.976
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 136434/15804.2
Info:root: Cleaning up computation data in /tmp/cado.8serxjd1
73500712640636720216949066397760837117689 6246702131599092382291931508354256712749 12214534562294938308895160701184727250921

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)

8287157531062639465882898887110758764787839172867749599864466846163063093617590582836568329743210331179<103>

1395873069928822659495157224485328522617<40>
5936899070260888515135364451321940965502681354829747159869915587<64>

Number: 1
N=8287157531062639465882898887110758764787839172867749599864466846163063093617590582836568329743210331179
  ( 103 digits)
Divisors found:
 r1=1395873069928822659495157224485328522617 (pp40)
 r2=5936899070260888515135364451321940965502681354829747159869915587 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.38 hours.
Scaled time: 34.05 units (timescale=7.782).
Factorization parameters were as follows:
name: 1
n: 8287157531062639465882898887110758764787839172867749599864466846163063093617590582836568329743210331179
skew: 5742.81
# norm 7.18e+014
c5: 772560
c4: -9733097148
c3: -26529868919552
c2: 253402312987749337
c1: 922543816580893852408
c0: 1013116004949413418077955
# alpha -6.80
Y1: 109892045513
Y0: -25474132067437719412
# Murphy_E 2.30e-009
# M 7414291948153039799458953116684867889597677853669461648905757573412259059162413587137863567814093927269
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 algebraic special-q in [1150000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 266796 x 267021
Total sieving time: 4.33 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 4.38 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

8156943874773123660247436079042955714484728754784735308002317965841701666738941285144176368370083566537844012339637188825343965451954973<136>

3460958217620293813816352702291084071<37>
131650967686717060063695968993429381891<39>
17902227099136038883124720498201542072945945627255991467414793<62>

Number: n
N=2356845521348629145624298299277946810554509565004540709917510953516162607724719583554871877699713563  ( 100 digits)
Divisors found:

Thu Nov 10 10:08:02 2022  p39 factor: 131650967686717060063695968993429381891
Thu Nov 10 10:08:02 2022  p62 factor: 17902227099136038883124720498201542072945945627255991467414793
Thu Nov 10 10:08:02 2022  elapsed time 00:03:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 8156943874773123660247436079042955714484728754784735308002317965841701666738941285144176368370083566537844012339637188825343965451954973 (136 digits)
# Using B1=27390000, B2=144286522396, polynomial Dickson(12), sigma=1:1740001485
# Step 1 took 54966ms
# Step 2 took 22023ms
# ********** Factor found in step 2: 3460958217620293813816352702291084071
# Found prime factor of 37 digits: 3460958217620293813816352702291084071
# Composite cofactor 2356845521348629145624298299277946810554509565004540709917510953516162607724719583554871877699713563 has 100 digits
#

n: 2356845521348629145624298299277946810554509565004540709917510953516162607724719583554871877699713563

Y0: -888607431816151800062756
Y1: 2087800308283
c0: 4130081174678515109421310575
c1: 1295264549757877247001
c2: -10636053658044451
c3: -1654149545
c4: 3780

# skew 1304341.90, size 9.203e-14, alpha -4.521, combined = 1.167e-08 rroots = 4

skew: 1304341.90

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 442045 hash collisions in 6958103 relations (6989894 unique)
Msieve: matrix is 205635 x 205861 (71.4 MB)

Sieving start time : 2022/11/10 09:59:04
Sieving end time  : 2022/11/10 10:04:46

Total sieving time: 0hrs 5min 42secs.

Total relation processing time: 0hrs 1min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 11sec.

Prototype def-par.txt line would be:
gnfs,99,4,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) ----------

308319190202574156100823201984227560055613996304521527765066751953228358804714687485433308421922239392757502259771805022464917771248769<135>

15433801835049736329143494305856139598989951<44>
19976878898521932426811322290676303503228584165516817313340813747008751473837784739146174719<92>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 308319190202574156100823201984227560055613996304521527765066751953228358804714687485433308421922239392757502259771805022464917771248769 (135 digits)
Using B1=26970000, B2=144286522396, polynomial Dickson(12), sigma=1:680363670
Step 1 took 43375ms
Step 2 took 19121ms
********** Factor found in step 2: 15433801835049736329143494305856139598989951
Found prime factor of 44 digits: 15433801835049736329143494305856139598989951
Prime cofactor 19976878898521932426811322290676303503228584165516817313340813747008751473837784739146174719 has 92 digits

3874952306107996148202925356977230559433086035875497743380310543919757697550557596549769056877068391412519793135804291801615222531753275674709099033<148>

33891514776781972785972185805022003953998857724807457212477<59>
114333995739919124912673061559610860357608210120857868790613710433669352648783531533263629<90>

Number: 1
N=3874952306107996148202925356977230559433086035875497743380310543919757697550557596549769056877068391412519793135804291801615222531753275674709099033
  ( 148 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=33891514776781972785972185805022003953998857724807457212477 (pp59)
 r2=114333995739919124912673061559610860357608210120857868790613710433669352648783531533263629 (pp90)
Version: Msieve v. 1.52 (SVN 927)
Total time: 27.37 hours.
Scaled time: 213.81 units (timescale=7.813).
Factorization parameters were as follows:
n: 3874952306107996148202925356977230559433086035875497743380310543919757697550557596549769056877068391412519793135804291801615222531753275674709099033
m: 200000000000000000000000000000000
deg: 5
c5: 3875
c0: -7
skew: 0.28
# Murphy_E = 3.129e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 4200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 791966 x 792191
Total sieving time: 27.14 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 27.37 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

22105763689661607780181043527253139974743258239438356100168552546659183795942748312015118939073041306498857921051528271<119>

535235162241665671097982787208569202672539441347661<51>
41301030367807873129431259223441473755424204684261037201632962464011<68>

22105763689661607780181043527253139974743258239438356100168552546659183795942748312015118939073041306498857921051528271=535235162241665671097982787208569202672539441347661*41301030367807873129431259223441473755424204684261037201632962464011

cado polynomial
n: 22105763689661607780181043527253139974743258239438356100168552546659183795942748312015118939073041306498857921051528271
skew: 37149.766
c0: 1274829037550914796089368768
c1: -137419063732011792539328
c2: -2730471663808988243
c3: 57386261131333
c4: 1660492090
c5: 24360
Y0: -70961896967029115647267
Y1: 8946051314561969
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.767e-06
# f(x) = 24360*x^5+1660492090*x^4+57386261131333*x^3-2730471663808988243*x^2-137419063732011792539328*x+1274829037550914796089368768
# g(x) = 8946051314561969*x-70961896967029115647267

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

cado log (extracts)
Info:Square Root: Factors: 535235162241665671097982787208569202672539441347661 41301030367807873129431259223441473755424204684261037201632962464011
Info:Square Root: Total cpu/real time for sqrt: 1739.97/230.02
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19979/35.280/42.264/46.740/1.054
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15832/33.010/37.376/42.750/0.821
Info:Polynomial Selection (size optimized): Total time: 3666.6
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1494.9
Info:Polynomial Selection (root optimized): Rootsieve time: 1446.91
Info:Generate Factor Base: Total cpu/real time for makefb: 8.55/1.28277
Info:Generate Free Relations: Total cpu/real time for freerel: 150.33/18.9001
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13450598
Info:Lattice Sieving: Average J: 1903.4 for 202368 special-q, max bucket fill -bkmult 1.0,1s:1.157270
Info:Lattice Sieving: Total time: 56022.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 35.55/57.4997
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 171.11/124.366
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 119.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 87.23/73.7587
Info:Filtering - Merging: Merged matrix has 565518 rows and total weight 56924872 (100.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 51.32/8.58882
Info:Filtering - Merging: Total cpu/real time for replay: 12.97/10.3847
Info:Linear Algebra: Total cpu/real time for bwc: 2491.78/663.07
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 408.5, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (17920 iterations)
Info:Linear Algebra: Lingen CPU time 59.61, WCT time 16.21
Info:Linear Algebra: Mksol: WCT time 223.96, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8960 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 20.6/5.15556
Info:Square Root: Total cpu/real time for sqrt: 1739.97/230.02
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 128399/16102.4
Info:root: Cleaning up computation data in /tmp/cado._kwrihpk
535235162241665671097982787208569202672539441347661 41301030367807873129431259223441473755424204684261037201632962464011

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)

19959751684115419917694181627612617003038465384096630813108937211876471239428864009557762211732734716632758277645322823550916522153714306421750371<146>

14660467862165401637964747956803360852387441717<47>
25119915892141910065626570842359528757387784587<47>
54198731581263734438161295726419639938466645860783749<53>

19959751684115419917694181627612617003038465384096630813108937211876471239428864009557762211732734716632758277645322823550916522153714306421750371=2511991589214191006562657084235952875738778458*14660467862165401637964747956803360852387441717*54198731581263734438161295726419639938466645860783749

cado polynomial
n: 19959751684115419917694181627612617003038465384096630813108937211876471239428864009557762211732734716632758277645322823550916522153714306421750371
skew: 0.36
type: snfs
c0: -7
c5: 1240
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 1240*x^5-7
# g(x) = -x+100000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 54198731581263734438161295726419639938466645860783749 25119915892141910065626570842359528757387784587 14660467862165401637964747956803360852387441717
Info:Square Root: Total cpu/real time for sqrt: 561.74/100.644
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.94/0.772184
Info:Generate Free Relations: Total cpu/real time for freerel: 98.83/12.6214
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22426933
Info:Lattice Sieving: Average J: 1894.11 for 983411 special-q, max bucket fill -bkmult 1.0,1s:1.145310
Info:Lattice Sieving: Total time: 162366s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 55.76/42.3547
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 42.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 236.94/68.732
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 64.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 139.41/56.1949
Info:Filtering - Merging: Merged matrix has 1058213 rows and total weight 180901125 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 214.79/31.8914
Info:Filtering - Merging: Total cpu/real time for replay: 33.66/27.698
Info:Linear Algebra: Total cpu/real time for bwc: 11400.2/2972.57
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1872.71, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (33280 iterations)
Info:Linear Algebra: Lingen CPU time 110.76, WCT time 30.09
Info:Linear Algebra: Mksol: WCT time 1033.46, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16640 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 47.85/11.483
Info:Square Root: Total cpu/real time for sqrt: 561.74/100.644
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 341225/84830.4
Info:root: Cleaning up computation data in /tmp/cado.6tlg56bg
54198731581263734438161295726419639938466645860783749 25119915892141910065626570842359528757387784587 14660467862165401637964747956803360852387441717

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)

114958974212179960056950320701609194760938513593849409658719975384235665680380935547253486824510633201737415707196155571632093225856576495172151687181490327858770811289<168>

12415586969320603000289192849089858204075669198824781<53>
9259246018432156657145736614457440803895046091643677321242259287671847397853331804381608123249285056553900214169469<115>

Number: n
N=114958974212179960056950320701609194760938513593849409658719975384235665680380935547253486824510633201737415707196155571632093225856576495172151687181490327858770811289  ( 168 digits)
SNFS difficulty: 180 digits.
Divisors found:

Thu Nov 17 19:20:31 2022  p53 factor: 12415586969320603000289192849089858204075669198824781
Thu Nov 17 19:20:31 2022  p115 factor: 9259246018432156657145736614457440803895046091643677321242259287671847397853331804381608123249285056553900214169469
Thu Nov 17 19:20:31 2022  elapsed time 00:16:09 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 62x10^179-35 = 68(178)5
#
n: 114958974212179960056950320701609194760938513593849409658719975384235665680380935547253486824510633201737415707196155571632093225856576495172151687181490327858770811289
m: 200000000000000000000000000000000000
deg: 5
c5: 3875
c0: -7
skew: 0.28
# Murphy_E = 7.932e-11
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 16300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1934038 hash collisions in 15707031 relations (14694229 unique)
Msieve: matrix is 832123 x 832348 (288.6 MB)

Sieving start time : 2022/11/17 16:01:11
Sieving end time  : 2022/11/17 19:03:58

Total sieving time: 3hrs 2min 47secs.

Total relation processing time: 0hrs 9min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 4sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7000000,7000000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

969470630079280469089273411152179659216399923024054389132128066612220227423556994766436638338948252662609831818592635818060506217159107940527716596701<150>

5446004107327492089463662913105286380447829050705773273512509<61>
178015038360855564485258790725455553329849205747722701662326702873774000693178722887942689<90>

969470630079280469089273411152179659216399923024054389132128066612220227423556994766436638338948252662609831818592635818060506217159107940527716596701=5446004107327492089463662913105286380447829050705773273512509*178015038360855564485258790725455553329849205747722701662326702873774000693178722887942689

cado polynomial
n: 969470630079280469089273411152179659216399923024054389132128066612220227423556994766436638338948252662609831818592635818060506217159107940527716596701
skew: 0.56
type: snfs
c0: -7
c5: 124
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 124*x^5-7
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7600000
tasks.lim1 = 7600000
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: 178015038360855564485258790725455553329849205747722701662326702873774000693178722887942689 5446004107327492089463662913105286380447829050705773273512509
Info:Square Root: Total cpu/real time for sqrt: 539.98/169.103
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 237.29/247.38
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 228.10000000000002s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.26/1.87021
Info:Square Root: Total cpu/real time for sqrt: 539.98/169.103
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 92.06/88.1777
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 88.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 110.07/101.466
Info:Generate Free Relations: Total cpu/real time for freerel: 118.91/31.4757
Info:Filtering - Merging: Merged matrix has 1207697 rows and total weight 206503919 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 301.16/83.8641
Info:Filtering - Merging: Total cpu/real time for replay: 42.85/37.1461
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22424781
Info:Lattice Sieving: Average J: 1894.92 for 1135718 special-q, max bucket fill -bkmult 1.0,1s:1.228060
Info:Lattice Sieving: Total time: 193086s
Info:Linear Algebra: Total cpu/real time for bwc: 23224/6185.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 14763.0, WCT time 3908.83, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37888 iterations)
Info:Linear Algebra: Lingen CPU time 239.48, WCT time 62.0
Info:Linear Algebra: Mksol: CPU time 8017.03,  WCT time 2123.42, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18944 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 40.59/19.1649
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 381460/103873
Info:root: Cleaning up computation data in /tmp/cado.e3wlforw
178015038360855564485258790725455553329849205747722701662326702873774000693178722887942689 5446004107327492089463662913105286380447829050705773273512509

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)

227719516284769433132595330273187649125669140312928374467111173454849976997485168907703526824835571039001848524865756655240492407987779646234833691489595326135522399<165>

40365695257792225554495008146140328253405247149109427<53>
5641411967029362107659354251061786496811526031905605774309864120004303789350439777643158638489731098109976316837<112>

Number: n
N=227719516284769433132595330273187649125669140312928374467111173454849976997485168907703526824835571039001848524865756655240492407987779646234833691489595326135522399  ( 165 digits)
SNFS difficulty: 183 digits.
Divisors found:

Thu Nov 17 23:02:15 2022  p53 factor: 40365695257792225554495008146140328253405247149109427
Thu Nov 17 23:02:15 2022  p112 factor: 5641411967029362107659354251061786496811526031905605774309864120004303789350439777643158638489731098109976316837
Thu Nov 17 23:02:15 2022  elapsed time 00:30:52 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 62x10^182-35 = 68(181)5
#
n: 227719516284769433132595330273187649125669140312928374467111173454849976997485168907703526824835571039001848524865756655240492407987779646234833691489595326135522399
m: 1000000000000000000000000000000000000
deg: 5
c5: 1240
c0: -7
skew: 0.36
# Murphy_E = 6.235e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1327237 hash collisions in 12366187 relations (11775204 unique)
Msieve: matrix is 1106968 x 1107194 (385.4 MB)

Sieving start time : 2022/11/17 19:45:26
Sieving end time  : 2022/11/17 22:31:04

Total sieving time: 2hrs 45min 38secs.

Total relation processing time: 0hrs 19min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 36sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,7900000,7900000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2291892057156128689135032606652473674996987117429080407808033423248191212473121972237088187011672134556959239832921431147227874316538907717264156791312685439<157>

38609607512919972661150646251627615153514028968492356910522078118403<68>
59360667066848335443028955715425149603719140904396867784612334136442490030885804200595413<89>

Number: n
N=2291892057156128689135032606652473674996987117429080407808033423248191212473121972237088187011672134556959239832921431147227874316538907717264156791312685439  ( 157 digits)
SNFS difficulty: 184 digits.
Divisors found:

Thu Dec  8 01:32:23 2022  p68 factor: 38609607512919972661150646251627615153514028968492356910522078118403
Thu Dec  8 01:32:23 2022  p89 factor: 59360667066848335443028955715425149603719140904396867784612334136442490030885804200595413
Thu Dec  8 01:32:23 2022  elapsed time 00:34:56 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 62x10^183-35 = 68(182)5
#
n: 2291892057156128689135032606652473674996987117429080407808033423248191212473121972237088187011672134556959239832921431147227874316538907717264156791312685439
m: 1000000000000000000000000000000000000
deg: 5
c5: 12400
c0: -7
skew: 0.22
# Murphy_E = 5.739e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1364481 hash collisions in 12478738 relations (11850378 unique)
Msieve: matrix is 1124892 x 1125117 (391.9 MB)

Sieving start time : 2022/12/07 22:01:49
Sieving end time  : 2022/12/08 00:57:06

Total sieving time: 2hrs 55min 17secs.

Total relation processing time: 0hrs 21min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 24sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8200000,8200000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

32546188027727252445557314099586085979679630023333517061814135019435848576235508416076767008664110216090940348611668858284973372493746669921285469439391911222398076625275264634629669<182>

264515560570301999519357192386386477760086282053350425130585531153<66>
123040731356434673750982926524406188684538109817767028442521349720285023893492218713882325768205563463345981616943573<117>

Number: n
N=32546188027727252445557314099586085979679630023333517061814135019435848576235508416076767008664110216090940348611668858284973372493746669921285469439391911222398076625275264634629669  ( 182 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sun Nov 20 04:51:27 2022  p66 factor: 264515560570301999519357192386386477760086282053350425130585531153
Sun Nov 20 04:51:27 2022  p117 factor: 123040731356434673750982926524406188684538109817767028442521349720285023893492218713882325768205563463345981616943573
Sun Nov 20 04:51:27 2022  elapsed time 00:37:53 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 62x10^186-35 = 68(185)5
#
n: 32546188027727252445557314099586085979679630023333517061814135019435848576235508416076767008664110216090940348611668858284973372493746669921285469439391911222398076625275264634629669
m: 10000000000000000000000000000000000000
deg: 5
c5: 124
c0: -7
skew: 0.56
# Murphy_E = 4.946e-11
type: snfs
lss: 1
rlim: 9200000
alim: 9200000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 17400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1474456 hash collisions in 13350989 relations (12671040 unique)
Msieve: matrix is 1262584 x 1262809 (436.7 MB)

Sieving start time : 2022/11/20 01:03:42
Sieving end time  : 2022/11/20 04:13:15

Total sieving time: 3hrs 9min 33secs.

Total relation processing time: 0hrs 27min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 16sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9200000,9200000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3930672157164791554251964807172504442690068064313737608278406543953328669215915620597558871482364426848094270048506772242863256131313511<136>

221966961001616307444883899060911<33>

17708365873136269999454949001984389843768995658469867435455086823936695114482965830890778412697615846601<104>

221966961001616307444883899060911
partially factored

yafu

17708365873136269999454949001984389843768995658469867435455086823936695114482965830890778412697615846601<104>

317611048504386309270497819800393952250236842567<48>
55754879927899333932496089910841880140408991848608366703<56>

N=17708365873136269999454949001984389843768995658469867435455086823936695114482965830890778412697615846601
  ( 104 digits)
Divisors found:
 r1=317611048504386309270497819800393952250236842567 (pp48)
 r2=55754879927899333932496089910841880140408991848608366703 (pp56)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.09 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 17708365873136269999454949001984389843768995658469867435455086823936695114482965830890778412697615846601
skew: 1744015.93
c0: 46868422646449252210630481361
c1: -16129625208416566581634
c2: -66515034231224459
c3: 24740172296
c4: 13860
Y0: -5978653651049349009845780
Y1: 12924470603519
rlim: 2360000
alim: 2360000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 2360000/2360000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1180000, 1630001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 277749 x 277976
Total sieving time: 0.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,103,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2360000,2360000,26,26,52,52,2.5,2.5,100000
total time: 0.09 hours.
 --------- CPU info (if available) ----------

272607674843773284700730913125605805840498123112537145601467988459763495549073266021323265481658999495568297383375386903471474091404725937775243546482062359704287602375578113792283<180>

106803573379725455082554137027514553157539073379<48>
2552420918301619833789807652421705672192806316285867543258352527138920218977488486966802826743360238432878584677351961799972833119977<133>

Number: n
N=272607674843773284700730913125605805840498123112537145601467988459763495549073266021323265481658999495568297383375386903471474091404725937775243546482062359704287602375578113792283  ( 180 digits)
SNFS difficulty: 189 digits.
Divisors found:

Sun Nov 20 22:31:04 2022  p48 factor: 106803573379725455082554137027514553157539073379
Sun Nov 20 22:31:04 2022  p133 factor: 2552420918301619833789807652421705672192806316285867543258352527138920218977488486966802826743360238432878584677351961799972833119977
Sun Nov 20 22:31:04 2022  elapsed time 00:46:44 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 62x10^188-35 = 68(187)5
#
n: 272607674843773284700730913125605805840498123112537145601467988459763495549073266021323265481658999495568297383375386903471474091404725937775243546482062359704287602375578113792283
m: 10000000000000000000000000000000000000
deg: 5
c5: 12400
c0: -7
skew: 0.22
# Murphy_E = 3.588e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 17768123)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1604147 hash collisions in 13432018 relations (12593869 unique)
Msieve: matrix is 1412315 x 1412540 (492.1 MB)

Sieving start time : 2022/11/20 17:31:09
Sieving end time  : 2022/11/20 21:44:00

Total sieving time: 4hrs 12min 51secs.

Total relation processing time: 0hrs 36min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 22sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,9900000,9900000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

13107904536689036103091008241228338202412204267208872424031576282530264506598351255792574149525339773777900885988797915751781115468498563622307284153561034361<158>

192988865189317335065247673540162970802896617<45>
67920522377446511281121398116300832229945310067939236349906245891167280981847579826363353107286209711233282038033<113>

Number: n
N=13107904536689036103091008241228338202412204267208872424031576282530264506598351255792574149525339773777900885988797915751781115468498563622307284153561034361  ( 158 digits)
SNFS difficulty: 193 digits.
Divisors found:

Thu Nov 24 20:10:52 2022  p45 factor: 192988865189317335065247673540162970802896617
Thu Nov 24 20:10:52 2022  p113 factor: 67920522377446511281121398116300832229945310067939236349906245891167280981847579826363353107286209711233282038033
Thu Nov 24 20:10:52 2022  elapsed time 01:02:57 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 62x10^192-35 = 68(191)5
#
n: 13107904536689036103091008241228338202412204267208872424031576282530264506598351255792574149525339773777900885988797915751781115468498563622307284153561034361
m: 100000000000000000000000000000000000000
deg: 5
c5: 1240
c0: -7
skew: 0.36
# Murphy_E = 2.428e-11
type: snfs
lss: 1
rlim: 11600000
alim: 11600000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18663481)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1808685 hash collisions in 13881133 relations (12823964 unique)
Msieve: matrix is 1699373 x 1699598 (594.3 MB)

Sieving start time : 2022/11/24 13:21:00
Sieving end time  : 2022/11/24 19:07:35

Total sieving time: 5hrs 46min 35secs.

Total relation processing time: 0hrs 56min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 31sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11600000,11600000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3077884402102187111650239124650178323483576813213537331466983165326282849833682066817739640785899500643212294245896242114044286429371966442857444103960284876831927379037272230321023<181>

423319364356267925403313803002970074345923779183972141984652798523704391616023<78>
7270832995751695696821044493953793135605710614438946545960680525176696512908178705796131300414977335001<103>

Number: n
N=3077884402102187111650239124650178323483576813213537331466983165326282849833682066817739640785899500643212294245896242114044286429371966442857444103960284876831927379037272230321023  ( 181 digits)
SNFS difficulty: 195 digits.
Divisors found:

Fri Nov 25 17:30:26 2022  p78 factor: 423319364356267925403313803002970074345923779183972141984652798523704391616023
Fri Nov 25 17:30:26 2022  p103 factor: 7270832995751695696821044493953793135605710614438946545960680525176696512908178705796131300414977335001
Fri Nov 25 17:30:26 2022  elapsed time 01:32:11 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 62x10^194-35 = 68(193)5
#
n: 3077884402102187111650239124650178323483576813213537331466983165326282849833682066817739640785899500643212294245896242114044286429371966442857444103960284876831927379037272230321023
m: 200000000000000000000000000000000000000
deg: 5
c5: 3875
c0: -7
skew: 0.28
# Murphy_E = 1.932e-11
type: snfs
lss: 1
rlim: 12500000
alim: 12500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 12500000/12500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 26261281)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1948587 hash collisions in 13844749 relations (12599321 unique)
Msieve: matrix is 1962848 x 1963074 (685.4 MB)

Sieving start time : 2022/11/25 08:38:38
Sieving end time  : 2022/11/25 15:57:54

Total sieving time: 7hrs 19min 16secs.

Total relation processing time: 1hrs 12min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 15min 18sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12500000,12500000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

16183735714667755736756519715313533031240146486085296944899494002180527003288927636790548704643459771215675197064051972919250860645614956127567156998304636646806991510529<170>

232754299801804377012068714035250675012019238496494030507<57>
69531414579445268107020161875250597603409852158056493802403902550248633532908736372661490234950825924822995718147<113>

Number: n
N=16183735714667755736756519715313533031240146486085296944899494002180527003288927636790548704643459771215675197064051972919250860645614956127567156998304636646806991510529  ( 170 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sun Dec 18 13:53:44 2022  p57 factor: 232754299801804377012068714035250675012019238496494030507
Sun Dec 18 13:53:44 2022  p113 factor: 69531414579445268107020161875250597603409852158056493802403902550248633532908736372661490234950825924822995718147
Sun Dec 18 13:53:44 2022  elapsed time 01:22:31 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 62x10^196-35 = 68(195)5
#
n: 16183735714667755736756519715313533031240146486085296944899494002180527003288927636790548704643459771215675197064051972919250860645614956127567156998304636646806991510529
m: 1000000000000000000000000000000000000000
deg: 5
c5: 124
c0: -7
skew: 0.56
# Murphy_E = 1.912e-11
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 26756203)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1955936 hash collisions in 13832785 relations (12579689 unique)
Msieve: matrix is 1895674 x 1895899 (659.1 MB)

Sieving start time : 2022/12/18 05:01:31
Sieving end time  : 2022/12/18 12:30:52

Total sieving time: 7hrs 29min 21secs.

Total relation processing time: 1hrs 10min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 25sec.

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

358003934389066531011307593412970951265386732811473931266814242032156571268710790833361391737365970456998629920959446877091847892849263<135>

487860810709322364297932717679340302863<39>
733823923812508757147828359286726766873596463446255249076504733860113891175977866273038359312801<96>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:720847819
Step 1 took 16656ms
Step 2 took 8000ms
********** Factor found in step 2: 487860810709322364297932717679340302863
Found prime factor of 39 digits: 487860810709322364297932717679340302863
Prime cofactor 733823923812508757147828359286726766873596463446255249076504733860113891175977866273038359312801 has 96 digits
 

GMP-ECM

6468440271257172665623369848721961398017736045905059989567031820552947313510693792383933229003651538862806468440271257172665623369848721961398017736045905059989567031820552947313510693792383933229<196>

158253001892393525226211704591794621320429<42>
40874044687351235992196382590255264152399981013658251154784417094213230236798399382695847442786471653998367306937328407541227059014692574566571963893563201<155>

Number: n
N=6468440271257172665623369848721961398017736045905059989567031820552947313510693792383933229003651538862806468440271257172665623369848721961398017736045905059989567031820552947313510693792383933229  ( 196 digits)
SNFS difficulty: 199 digits.
Divisors found:

Thu Feb 16 14:00:25 2023  prp42 factor: 158253001892393525226211704591794621320429
Thu Feb 16 14:00:25 2023  prp155 factor: 40874044687351235992196382590255264152399981013658251154784417094213230236798399382695847442786471653998367306937328407541227059014692574566571963893563201
Thu Feb 16 14:00:25 2023  elapsed time 02:45:18 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.107).
Factorization parameters were as follows:
#
# N = 62x10^198-35 = 68(197)5
#
n: 6468440271257172665623369848721961398017736045905059989567031820552947313510693792383933229003651538862806468440271257172665623369848721961398017736045905059989567031820552947313510693792383933229
m: 1000000000000000000000000000000000
deg: 6
c6: 62
c0: -35
skew: 0.91
# Murphy_E = 1.398e-11
type: snfs
lss: 1
rlim: 14500000
alim: 14500000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
3lambda: 2.5
alambda: 2.5
Factor base limits: 14500000/14500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 32884567)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1737193 hash collisions in 13161658 relations (12379199 unique)
Msieve: matrix is 2261368 x 2261594 (644.9 MB)

Sieving start time: 2023/02/15 21:08:50
Sieving end time  : 2023/02/16 11:14:49

Total sieving time: 14hrs 5min 59secs.

Total relation processing time: 2hrs 33min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 39sec.

Prototype def-par.txt line would be:
snfs,199,6,0,0,0,0,0,0,0,0,14500000,14500000,27,27,53,53,2.6,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

4596567253299797413836570834294943856878716392607865861135033659423045946187892309097167827619019721870801379275589161841016930748233398377275466417763713409746379067<166>

17428206492568459122478449934990335096773<41>
263742987854763725070558302645489246069296625817496302819346537865047381992954572780100072609120933053231361942755095473358079<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:542096902
Step 1 took 8007ms
Step 2 took 3954ms
********** Factor found in step 2: 17428206492568459122478449934990335096773
Found prime factor of 41 digits: 17428206492568459122478449934990335096773
Prime cofactor 263742987854763725070558302645489246069296625817496302819346537865047381992954572780100072609120933053231361942755095473358079 has 126 digits

326652399607642202965085912270889212497582731871351465598119902006244166496548523394738030160207550789058375009046676061616244041951920113817<141>

40142429181565764125907223261272712089888428859421252033<56>
8137335140586054974799411384095988362495357781087151452450771155293389553006282847449<85>

Sat Apr 08 02:09:53 2023  
Sat Apr 08 02:09:53 2023  
Sat Apr 08 02:09:53 2023  Msieve v. 1.54 (SVN Unversioned directory)
Sat Apr 08 02:09:53 2023  random seeds: d1871534 2b6354f3
Sat Apr 08 02:09:53 2023  factoring 326652399607642202965085912270889212497582731871351465598119902006244166496548523394738030160207550789058375009046676061616244041951920113817 (141 digits)
Sat Apr 08 02:09:53 2023  searching for 15-digit factors
Sat Apr 08 02:09:54 2023  commencing number field sieve (141-digit input)
Sat Apr 08 02:09:54 2023  R0: -3295775312127309317713741882
Sat Apr 08 02:09:54 2023  R1: 3464744665009123
Sat Apr 08 02:09:54 2023  A0: 23843731747694687885891182354481475
Sat Apr 08 02:09:54 2023  A1: 6088048264232488342669454382
Sat Apr 08 02:09:54 2023  A2: -63641143917672033521437
Sat Apr 08 02:09:54 2023  A3: -7779192755963362
Sat Apr 08 02:09:54 2023  A4: 34195606806
Sat Apr 08 02:09:54 2023  A5: 840
Sat Apr 08 02:09:54 2023  skew 1574290.63, size 1.430e-013, alpha -6.297, combined = 2.043e-011 rroots = 5
Sat Apr 08 02:09:54 2023  
Sat Apr 08 02:09:54 2023  commencing relation filtering
Sat Apr 08 02:09:54 2023  estimated available RAM is 15734.8 MB
Sat Apr 08 02:09:54 2023  commencing duplicate removal, pass 1
Sat Apr 08 02:09:56 2023  error -15 reading relation 331498
Sat Apr 08 02:09:56 2023  error -1 reading relation 332588
Sat Apr 08 02:09:56 2023  error -11 reading relation 333589
Sat Apr 08 02:09:56 2023  error -9 reading relation 334369
Sat Apr 08 02:09:56 2023  error -15 reading relation 335150
Sat Apr 08 02:09:56 2023  error -9 reading relation 337020
Sat Apr 08 02:09:56 2023  error -15 reading relation 338063
Sat Apr 08 02:12:19 2023  skipped 3 relations with composite factors
Sat Apr 08 02:12:19 2023  found 2809664 hash collisions in 23097909 relations
Sat Apr 08 02:12:44 2023  added 121195 free relations
Sat Apr 08 02:12:44 2023  commencing duplicate removal, pass 2
Sat Apr 08 02:12:53 2023  found 2283280 duplicates and 20935824 unique relations
Sat Apr 08 02:12:53 2023  memory use: 98.6 MB
Sat Apr 08 02:12:53 2023  reading ideals above 720000
Sat Apr 08 02:12:53 2023  commencing singleton removal, initial pass
Sat Apr 08 02:14:52 2023  memory use: 689.0 MB
Sat Apr 08 02:14:52 2023  reading all ideals from disk
Sat Apr 08 02:14:52 2023  memory use: 688.2 MB
Sat Apr 08 02:14:54 2023  keeping 22415371 ideals with weight <= 200, target excess is 129376
Sat Apr 08 02:14:55 2023  commencing in-memory singleton removal
Sat Apr 08 02:14:56 2023  begin with 20935824 relations and 22415371 unique ideals
Sat Apr 08 02:15:06 2023  reduce to 9135036 relations and 8779749 ideals in 18 passes
Sat Apr 08 02:15:06 2023  max relations containing the same ideal: 112
Sat Apr 08 02:15:10 2023  removing 1019582 relations and 916977 ideals in 102605 cliques
Sat Apr 08 02:15:10 2023  commencing in-memory singleton removal
Sat Apr 08 02:15:10 2023  begin with 8115454 relations and 8779749 unique ideals
Sat Apr 08 02:15:15 2023  reduce to 8018291 relations and 7764083 ideals in 11 passes
Sat Apr 08 02:15:15 2023  max relations containing the same ideal: 108
Sat Apr 08 02:15:18 2023  removing 754636 relations and 652031 ideals in 102605 cliques
Sat Apr 08 02:15:18 2023  commencing in-memory singleton removal
Sat Apr 08 02:15:18 2023  begin with 7263655 relations and 7764083 unique ideals
Sat Apr 08 02:15:22 2023  reduce to 7202233 relations and 7049787 ideals in 10 passes
Sat Apr 08 02:15:22 2023  max relations containing the same ideal: 97
Sat Apr 08 02:15:25 2023  relations with 0 large ideals: 455
Sat Apr 08 02:15:25 2023  relations with 1 large ideals: 947
Sat Apr 08 02:15:25 2023  relations with 2 large ideals: 15498
Sat Apr 08 02:15:25 2023  relations with 3 large ideals: 124443
Sat Apr 08 02:15:25 2023  relations with 4 large ideals: 537464
Sat Apr 08 02:15:25 2023  relations with 5 large ideals: 1340486
Sat Apr 08 02:15:25 2023  relations with 6 large ideals: 2018792
Sat Apr 08 02:15:25 2023  relations with 7+ large ideals: 3164148
Sat Apr 08 02:15:25 2023  commencing 2-way merge
Sat Apr 08 02:15:30 2023  reduce to 4191697 relation sets and 4039253 unique ideals
Sat Apr 08 02:15:30 2023  ignored 2 oversize relation sets
Sat Apr 08 02:15:30 2023  commencing full merge
Sat Apr 08 02:16:35 2023  memory use: 481.7 MB
Sat Apr 08 02:16:36 2023  found 1945308 cycles, need 1933453
Sat Apr 08 02:16:36 2023  weight of 1933453 cycles is about 174140410 (90.07/cycle)
Sat Apr 08 02:16:36 2023  distribution of cycle lengths:
Sat Apr 08 02:16:36 2023  1 relations: 215330
Sat Apr 08 02:16:36 2023  2 relations: 191226
Sat Apr 08 02:16:36 2023  3 relations: 191129
Sat Apr 08 02:16:36 2023  4 relations: 175048
Sat Apr 08 02:16:36 2023  5 relations: 159980
Sat Apr 08 02:16:36 2023  6 relations: 143606
Sat Apr 08 02:16:36 2023  7 relations: 125928
Sat Apr 08 02:16:36 2023  8 relations: 108393
Sat Apr 08 02:16:36 2023  9 relations: 97538
Sat Apr 08 02:16:36 2023  10+ relations: 525275
Sat Apr 08 02:16:36 2023  heaviest cycle: 27 relations
Sat Apr 08 02:16:36 2023  commencing cycle optimization
Sat Apr 08 02:16:39 2023  start with 13602288 relations
Sat Apr 08 02:17:01 2023  pruned 366845 relations
Sat Apr 08 02:17:01 2023  memory use: 428.0 MB
Sat Apr 08 02:17:01 2023  distribution of cycle lengths:
Sat Apr 08 02:17:01 2023  1 relations: 215330
Sat Apr 08 02:17:01 2023  2 relations: 196191
Sat Apr 08 02:17:01 2023  3 relations: 197823
Sat Apr 08 02:17:01 2023  4 relations: 179796
Sat Apr 08 02:17:01 2023  5 relations: 164074
Sat Apr 08 02:17:01 2023  6 relations: 146086
Sat Apr 08 02:17:01 2023  7 relations: 127468
Sat Apr 08 02:17:01 2023  8 relations: 109345
Sat Apr 08 02:17:01 2023  9 relations: 97578
Sat Apr 08 02:17:01 2023  10+ relations: 499762
Sat Apr 08 02:17:01 2023  heaviest cycle: 27 relations
Sat Apr 08 02:17:03 2023  RelProcTime: 429
Sat Apr 08 02:17:03 2023  elapsed time 00:07:10
Sat Apr 08 02:17:03 2023  
Sat Apr 08 02:17:03 2023  
Sat Apr 08 02:17:03 2023  Msieve v. 1.54 (SVN Unversioned directory)
Sat Apr 08 02:17:03 2023  random seeds: 5e969dfc 4970d041
Sat Apr 08 02:17:03 2023  factoring 326652399607642202965085912270889212497582731871351465598119902006244166496548523394738030160207550789058375009046676061616244041951920113817 (141 digits)
Sat Apr 08 02:17:04 2023  searching for 15-digit factors
Sat Apr 08 02:17:04 2023  commencing number field sieve (141-digit input)
Sat Apr 08 02:17:04 2023  R0: -3295775312127309317713741882
Sat Apr 08 02:17:04 2023  R1: 3464744665009123
Sat Apr 08 02:17:04 2023  A0: 23843731747694687885891182354481475
Sat Apr 08 02:17:04 2023  A1: 6088048264232488342669454382
Sat Apr 08 02:17:04 2023  A2: -63641143917672033521437
Sat Apr 08 02:17:04 2023  A3: -7779192755963362
Sat Apr 08 02:17:04 2023  A4: 34195606806
Sat Apr 08 02:17:04 2023  A5: 840
Sat Apr 08 02:17:04 2023  skew 1574290.63, size 1.430e-013, alpha -6.297, combined = 2.043e-011 rroots = 5
Sat Apr 08 02:17:04 2023  
Sat Apr 08 02:17:04 2023  commencing linear algebra
Sat Apr 08 02:17:04 2023  read 1933453 cycles
Sat Apr 08 02:17:07 2023  cycles contain 7018510 unique relations
Sat Apr 08 02:17:36 2023  read 7018510 relations
Sat Apr 08 02:17:46 2023  using 20 quadratic characters above 4294917295
Sat Apr 08 02:18:07 2023  building initial matrix
Sat Apr 08 02:19:04 2023  memory use: 927.1 MB
Sat Apr 08 02:19:06 2023  read 1933453 cycles
Sat Apr 08 02:19:06 2023  matrix is 1933275 x 1933453 (721.4 MB) with weight 223771371 (115.74/col)
Sat Apr 08 02:19:06 2023  sparse part has weight 165897776 (85.80/col)
Sat Apr 08 02:19:22 2023  filtering completed in 2 passes
Sat Apr 08 02:19:23 2023  matrix is 1931952 x 1932130 (721.2 MB) with weight 223707390 (115.78/col)
Sat Apr 08 02:19:23 2023  sparse part has weight 165877930 (85.85/col)
Sat Apr 08 02:19:26 2023  matrix starts at (0, 0)
Sat Apr 08 02:19:26 2023  matrix is 1931952 x 1932130 (721.2 MB) with weight 223707390 (115.78/col)
Sat Apr 08 02:19:26 2023  sparse part has weight 165877930 (85.85/col)
Sat Apr 08 02:19:26 2023  saving the first 112 matrix rows for later
Sat Apr 08 02:19:27 2023  matrix includes 128 packed rows
Sat Apr 08 02:19:27 2023  matrix is 1931840 x 1932130 (658.0 MB) with weight 162724914 (84.22/col)
Sat Apr 08 02:19:27 2023  sparse part has weight 149315748 (77.28/col)
Sat Apr 08 02:19:27 2023  using block size 8192 and superblock size 393216 for processor cache size 8192 kB
Sat Apr 08 02:19:33 2023  commencing Lanczos iteration (10 threads)
Sat Apr 08 02:19:33 2023  memory use: 743.0 MB
Sat Apr 08 02:19:36 2023  linear algebra at 0.1%, ETA 1h 3m
Sat Apr 08 02:19:37 2023  checkpointing every 1840000 dimensions
Sat Apr 08 03:38:14 2023  lanczos halted after 15184 iterations (dim = 1931839)
Sat Apr 08 03:38:17 2023  recovered 30 nontrivial dependencies
Sat Apr 08 03:38:17 2023  BLanczosTime: 4873
Sat Apr 08 03:38:17 2023  elapsed time 01:21:14
Sat Apr 08 03:38:17 2023  
Sat Apr 08 03:38:17 2023  
Sat Apr 08 03:38:17 2023  Msieve v. 1.54 (SVN Unversioned directory)
Sat Apr 08 03:38:17 2023  random seeds: dce80a90 3b975caf
Sat Apr 08 03:38:17 2023  factoring 326652399607642202965085912270889212497582731871351465598119902006244166496548523394738030160207550789058375009046676061616244041951920113817 (141 digits)
Sat Apr 08 03:38:17 2023  searching for 15-digit factors
Sat Apr 08 03:38:18 2023  commencing number field sieve (141-digit input)
Sat Apr 08 03:38:18 2023  R0: -3295775312127309317713741882
Sat Apr 08 03:38:18 2023  R1: 3464744665009123
Sat Apr 08 03:38:18 2023  A0: 23843731747694687885891182354481475
Sat Apr 08 03:38:18 2023  A1: 6088048264232488342669454382
Sat Apr 08 03:38:18 2023  A2: -63641143917672033521437
Sat Apr 08 03:38:18 2023  A3: -7779192755963362
Sat Apr 08 03:38:18 2023  A4: 34195606806
Sat Apr 08 03:38:18 2023  A5: 840
Sat Apr 08 03:38:18 2023  skew 1574290.63, size 1.430e-013, alpha -6.297, combined = 2.043e-011 rroots = 5
Sat Apr 08 03:38:18 2023  
Sat Apr 08 03:38:18 2023  commencing square root phase
Sat Apr 08 03:38:18 2023  reading relations for dependency 1
Sat Apr 08 03:38:18 2023  read 966593 cycles
Sat Apr 08 03:38:19 2023  cycles contain 3511488 unique relations
Sat Apr 08 03:38:35 2023  read 3511488 relations
Sat Apr 08 03:38:46 2023  multiplying 3511488 relations
Sat Apr 08 03:40:50 2023  multiply complete, coefficients have about 164.71 million bits
Sat Apr 08 03:40:51 2023  initial square root is modulo 815123
Sat Apr 08 03:43:10 2023  sqrtTime: 292
Sat Apr 08 03:43:10 2023  p56 factor: 40142429181565764125907223261272712089888428859421252033
Sat Apr 08 03:43:10 2023  p85 factor: 8137335140586054974799411384095988362495357781087151452450771155293389553006282847449
Sat Apr 08 03:43:10 2023  elapsed time 00:04:53

2529595294018329654476211205633856375033160826050985438450752484711945658774624210504417459045419463479673909602612127029513193539986934735443856293863<151>

14918125252841993214235853046149567752051<41>
169565226940055784163778233928160313822545308255595170158658633168425948687067644885443343688393913415248257213<111>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 2529595294018329654476211205633856375033160826050985438450752484711945658774624210504417459045419463479673909602612127029513193539986934735443856293863 (151 digits)
Using B1=43070000, B2=240490660426, polynomial Dickson(12), sigma=1:2025262069
Step 1 took 78279ms
Step 2 took 27449ms
********** Factor found in step 2: 14918125252841993214235853046149567752051
Found prime factor of 41 digits: 14918125252841993214235853046149567752051
Prime cofactor 169565226940055784163778233928160313822545308255595170158658633168425948687067644885443343688393913415248257213 has 111 digits

1158234039834094759076748407631646338920058574738695700011802503118931831944487818787732605636102788819392644320082999058846004045837067511036832775056890815096025745059<169>

111464827626738372658936322556421995195644740248841207073125635072465774584430263<81>
10391027057545600198846973192359971396273567552913672267216456582884540453121928194706293<89>

Number: n
N=1158234039834094759076748407631646338920058574738695700011802503118931831944487818787732605636102788819392644320082999058846004045837067511036832775056890815096025745059  ( 169 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sat Aug 26 21:27:23 2023  prp81 factor: 111464827626738372658936322556421995195644740248841207073125635072465774584430263
Sat Aug 26 21:27:23 2023  prp89 factor: 10391027057545600198846973192359971396273567552913672267216456582884540453121928194706293
Sat Aug 26 21:27:23 2023  elapsed time 03:28:11 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.101).
Factorization parameters were as follows:
#
# N = 62x10^203-35 = 68(202)5
#
n: 1158234039834094759076748407631646338920058574738695700011802503118931831944487818787732605636102788819392644320082999058846004045837067511036832775056890815096025745059
m: 10000000000000000000000000000000000000000
deg: 5
c5: 12400
c0: -7
skew: 0.22
# Murphy_E = 8.544e-12
type: snfs
lss: 1
rlim: 17600000
alim: 17600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17600000/17600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3186516 hash collisions in 17237809 relations (14683800 unique)
Msieve: matrix is 2540196 x 2540421 (719.2 MB)

Sieving start time: 2023/08/26 01:21:45
Sieving end time  : 2023/08/26 17:58:50

Total sieving time: 16hrs 37min 5secs.

Total relation processing time: 3hrs 16min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 59sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17600000,17600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

16132522426093190827495637087900303394734510274370699977151233383734599187608918177348307409520604278422828573882425307790988786900582260303395674663708158861458528983<167>

1451716462354249836376286556737296607981<40>

11112722659307083509356147767941607222794378332123199394932716418893249010116220985125314620535716693638238256143492520818421843<128>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3370684184
Step 1 took 47659ms
Step 2 took 21547ms
********** Factor found in step 2: 1451716462354249836376286556737296607981
Found prime factor of 40 digits: 1451716462354249836376286556737296607981
Composite cofactor 11112722659307083509356147767941607222794378332123199394932716418893249010116220985125314620535716693638238256143492520818421843 has 128 digits

11112722659307083509356147767941607222794378332123199394932716418893249010116220985125314620535716693638238256143492520818421843<128>

9902063264718364660704544642860979009015830885168939698543<58>
1122263346761514811206387526738418135916695854709012595700032228683101<70>

11112722659307083509356147767941607222794378332123199394932716418893249010116220985125314620535716693638238256143492520818421843=9902063264718364660704544642860979009015830885168939698543*1122263346761514811206387526738418135916695854709012595700032228683101

cado polynomial
n: 11112722659307083509356147767941607222794378332123199394932716418893249010116220985125314620535716693638238256143492520818421843
skew: 68754.175
c0: -70403838933654949551820453560
c1: -4189308261607930291333066
c2: -598817934877970815179
c3: 1330728380428981
c4: 37510614510
c5: 279000
Y0: -2987405057519878712347343
Y1: 97157011420625551
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 6.491e-07
# f(x) = 279000*x^5+37510614510*x^4+1330728380428981*x^3-598817934877970815179*x^2-4189308261607930291333066*x-70403838933654949551820453560
# g(x) = 97157011420625551*x-2987405057519878712347343

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: 9902063264718364660704544642860979009015830885168939698543 1122263346761514811206387526738418135916695854709012595700032228683101
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 626.74/188.335
Info:HTTP server: Got notification to stop serving Workunits
Info:Quadratic Characters: Total cpu/real time for characters: 54.07/23.0282
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 96.18/97.3674
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 96.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 130.49/123.628
Info:Generate Free Relations: Total cpu/real time for freerel: 248.95/64.0688
Info:Filtering - Merging: Merged matrix has 1402210 rows and total weight 239740470 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 379.19/112.426
Info:Filtering - Merging: Total cpu/real time for replay: 52.37/49.1597
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22984706
Info:Lattice Sieving: Average J: 7686.55 for 39939 special-q, max bucket fill -bkmult 1.0,1s:1.064690
Info:Lattice Sieving: Total time: 60747.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 262.13/246.013
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 216.8s
Info:Linear Algebra: Total cpu/real time for bwc: 34984/9326.02
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 22412.14, WCT time 5835.98, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (44032 iterations)
Info:Linear Algebra: Lingen CPU time 210.74, WCT time 213.98
Info:Linear Algebra: Mksol: CPU time 12062.96,  WCT time 3137.33, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (22016 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4703.3
Info:Polynomial Selection (root optimized): Rootsieve time: 4700.74
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): 28406/37.740/45.308/49.430/0.870
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 22196/36.850/40.514/46.110/0.820
Info:Polynomial Selection (size optimized): Total time: 4630.15
Info:Square Root: Total cpu/real time for sqrt: 626.74/188.335
Info:Generate Factor Base: Total cpu/real time for makefb: 38.44/10.2475
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 160504/43902.3
Info:root: Cleaning up computation data in /tmp/cado.9cim0jod
9902063264718364660704544642860979009015830885168939698543 1122263346761514811206387526738418135916695854709012595700032228683101

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)

2739914260172843491270105634161865019459150480713823875048250782250984535805104947560453179164451129184730590218946108155482848832791068538735207527804603455220047899381286851304478593913367039059<196>

13791278496799628886709563994226882980094836333979063<53>
198670069697212005645775374282879028553248037593822553391748760598228698230298279870563973105282224780235865338747172783638904917452654023847493<144>

Number: n
N=2739914260172843491270105634161865019459150480713823875048250782250984535805104947560453179164451129184730590218946108155482848832791068538735207527804603455220047899381286851304478593913367039059  ( 196 digits)
SNFS difficulty: 206 digits.
Divisors found:

Tue Jan  2 14:32:13 2024  prp53 factor: 13791278496799628886709563994226882980094836333979063
Tue Jan  2 14:32:13 2024  prp144 factor: 198670069697212005645775374282879028553248037593822553391748760598228698230298279870563973105282224780235865338747172783638904917452654023847493
Tue Jan  2 14:32:13 2024  elapsed time 03:32:40 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.103).
Factorization parameters were as follows:
#
# N = 62x10^205-35 = 68(204)5
#
n: 2739914260172843491270105634161865019459150480713823875048250782250984535805104947560453179164451129184730590218946108155482848832791068538735207527804603455220047899381286851304478593913367039059
m: 10000000000000000000000000000000000
deg: 6
c6: 124
c0: -7
skew: 0.62
# Murphy_E = 7.521e-12
type: snfs
lss: 1
rlim: 19100000
alim: 19100000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19100000/19100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 56750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3468876 hash collisions in 18940466 relations (16077675 unique)
Msieve: matrix is 2559324 x 2559549 (725.6 MB)

Sieving start time: 2024/01/01 09:48:49
Sieving end time  : 2024/01/02 10:59:09

Total sieving time: 25hrs 10min 20secs.

Total relation processing time: 3hrs 23min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 52sec.

Prototype def-par.txt line would be:
snfs,206,6,0,0,0,0,0,0,0,0,19100000,19100000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2158371814544371178730412681060322295870131841142730220712328859799824483499088948289316242762633359034489235040262326877665897915430179060219543443654363783956131887085872141<175>

2740113827274534836669340311681766944068589<43>
787694216590704308589038663368852054078895019181794101696360356583849556983539992789084153700777272467488859607175338116217081105569<132>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2600445253
Step 1 took 23225ms
Step 2 took 9887ms
********** Factor found in step 2: 2740113827274534836669340311681766944068589
Found prime factor of 43 digits: 2740113827274534836669340311681766944068589
Prime cofactor 787694216590704308589038663368852054078895019181794101696360356583849556983539992789084153700777272467488859607175338116217081105569 has 132 digits

267278447450519131986903442343265565324122830129715496825688086159303513486198204895385469605034292163634302930094356023909668007366530643728300875035332219169586522593959354629964464678033167<192>

365336344136381823071360838949340690732999983682201786609888021609131903163096458367465311451031198942611738064378706561022692531847364556524587913594018488372831280168818054913018880049461<189>

339449591590001698261311939581003436790968255706169929901998263838724692954487994364662151801602060059835784771134740415232984001964009526571341<144>

145299980041660833678739237642263203<36>

2336198473617640705878988650343381846730427244432896968281623687996387927933696782108717002126031329714893647<109>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3499859003
Step 1 took 3281ms
Step 2 took 1547ms
********** Factor found in step 2: 145299980041660833678739237642263203
Found prime factor of 36 digits: 145299980041660833678739237642263203
Composite cofactor 2336198473617640705878988650343381846730427244432896968281623687996387927933696782108717002126031329714893647 has 109 digits

GMP-ECM

2336198473617640705878988650343381846730427244432896968281623687996387927933696782108717002126031329714893647<109>

53583791593751034428349342399774816701219899597254917<53>
43598976558614586903420534966792951988055921166399738691<56>

Number: 1
N=2336198473617640705878988650343381846730427244432896968281623687996387927933696782108717002126031329714893647
  ( 109 digits)
Divisors found:
 r1=53583791593751034428349342399774816701219899597254917 (pp53)
 r2=43598976558614586903420534966792951988055921166399738691 (pp56)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.32 hours.
Scaled time: 64.87 units (timescale=7.800).
Factorization parameters were as follows:
name: 1
n: 2336198473617640705878988650343381846730427244432896968281623687996387927933696782108717002126031329714893647
skew: 17555.68
# norm 3.63e+014
c5: 9900
c4: -380046985
c3: -21654107874078
c2: 90456246853747644
c1: 724451102650024989408
c0: 1473497410536800305369200
# alpha -4.54
Y1: 54818175223
Y0: -749160985423864885283
# Murphy_E 1.14e-009
# M 1376534166218342740550860244051782254708995620368954218637415908278492667934151869929878065146198032945977134
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 402762 x 402988
Total sieving time: 8.22 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 8.32 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

22118622870154679207308795816688816998544841612378405198355035755339032043148151720632764328090804471637485384767868933279844431314569479773929884472695902158830692875824241814412856833237168847753128577<203>

6630351718617140843789433683156313468767940785434764063705624900381232260725296693373135362710953896705778814738182344324912142743728823649969889521672869243242056787400235633<175>

40771177888885706100821114136091123447<38>

162623501746428234468861590092954362611341531211162188460203671632428370080414328118780701884809810105688578786143035840162255347011399639<138>

Resuming ECM residue saved by @5723decd7e7d with GMP-ECM 7.0.5-dev on Mon Nov 21 15:26:59 2022 
Input number is 6630351718617140843789433683156313468767940785434764063705624900381232260725296693373135362710953896705778814738182344324912142743728823649969889521672869243242056787400235633 (175 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4041455158
Step 1 took 0ms
Step 2 took 3629ms
********** Factor found in step 2: 40771177888885706100821114136091123447
Found prime factor of 38 digits: 40771177888885706100821114136091123447
Composite cofactor 162623501746428234468861590092954362611341531211162188460203671632428370080414328118780701884809810105688578786143035840162255347011399639 has 138 digits

162623501746428234468861590092954362611341531211162188460203671632428370080414328118780701884809810105688578786143035840162255347011399639<138>

797661923226056531286648214514320409666552519936256089<54>
203875222084959556166554758758716798926144507456665761718928711635157285877317931951<84>

203875222084959556166554758758716798926144507456665761718928711635157285877317931951 797661923226056531286648214514320409666552519936256089

CADO-NFS

10 x Xeon L5640, Debian sid amd64

22319063165283438108832092733896445592035580571042379317991054265636134797578409242392736025133713287395202168633244329096892867057392616190889564317442448251277148282852663291667999<182>

39859724447466261106713123577907561741781246588822245616169148844455054378223956819327058373205113504786521930960956015578712509054965789131452425191877912312869<161>

1011183611423964912925019110166641613846945724510774826036010694372785418374219440393655190300155693807997199329044076569006277462987749352655355094499663066500391516222989482660876055320692607922813498887779<208>

4101978719054355343063279320561299853914706868487014088605859224780445432186629228163602332241755346359622803098671655414320931652460842663566188962951103767574143359708958247846422129267566961803926337064849089<211>

48344921769353306910052879196245850105508796640833522195287909073174664954599382615916151042228504712375577026570278551480607457546015081161308954724457816769308954156971430561910593639069177557<194>

75483074770553689516688077285675653963655179400187703715641243399997283699549499303717629229478167352306680212243834161914210102544183227577357473881202324789629851923599354798237527989031260280535540178492301<209>

30198243056264202476985857234695602145519355459685099218819727406405427250627893180836741954917711972651581617832111020446990149845098226922835601<146>

337313242081577055752081137902819343245043300024937<51>
89525815440595569739114677451917522128008869739520091555265619078715654673620250116547154269673<95>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 30198243056264202476985857234695602145519355459685099218819727406405427250627893180836741954917711972651581617832111020446990149845098226922835601 (146 digits)
Using B1=66280000, B2=388135833550, polynomial Dickson(30), sigma=1:1943508661
Step 1 took 137075ms
Step 2 took 56299ms
********** Factor found in step 2: 337313242081577055752081137902819343245043300024937
Found prime factor of 51 digits: 337313242081577055752081137902819343245043300024937
Prime cofactor 89525815440595569739114677451917522128008869739520091555265619078715654673620250116547154269673 has 95 digits

10707430170117286600526308617367974363043867096065842500825989226257879790508548351653812180514283724480530751035872673474414856641513768928278523<146>

4914246574524931112047961863026648312972340616928753938573019229<64>
2178854888076590411870759037659807554316873875474297769909237649851977124357266487<82>

CADO:



STA:Sun 14 Apr 2024 14:21:27 AEST (10707430170117286600526308617367974363043867096065842500825989226257879790508548351653812180514283724480530751035872673474414856641513768928278523 - C146)



/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 10707430170117286600526308617367974363043867096065842500825989226257879790508548351653812180514283724480530751035872673474414856641513768928278523 2>&1 | tee -a log-60



Debug:root: Looking for parameter file for c146 in directory /home/vboxuser/Math/cado-nfs/parameters/factor

Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c145

Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c145

Info:root: No database exists yet

Info:root: Created temporary directory /tmp/cado.84frfhzz

Info:Database: Opened connection to database /tmp/cado.84frfhzz/c145.db

Info:root: Set tasks.threads=20 based on --server-threads 20

Info:root: tasks.threads = 20 [via tasks.threads]

Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]

Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]

Info:root: tasks.linalg.bwc.threads = 20 [via tasks.threads]

Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]

Info:root: slaves.scriptpath is /home/vboxuser/Math/cado-nfs/build/Ubuntu

Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 10707430170117286600526308617367974363043867096065842500825989226257879790508548351653812180514283724480530751035872673474414856641513768928278523

Debug:root: Root parameter dictionary:

N = 10707430170117286600526308617367974363043867096065842500825989226257879790508548351653812180514283724480530751035872673474414856641513768928278523

name = c145

===

Info:Polynomial Selection (root optimized): Best polynomial is:

n: 10707430170117286600526308617367974363043867096065842500825989226257879790508548351653812180514283724480530751035872673474414856641513768928278523

skew: 391015.16

c0: 1192942157019449876018829863524192

c1: 12755638015751654760875670595

c2: -25299130523085242069670

c3: -353875753356122725

c4: 124805975528

c5: 31920

Y0: -16513176238962263804137384545

Y1: 422514617192682200051

# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=2.684e+14) = 5.273e-07

# f(x) = 31920*x^5+124805975528*x^4-353875753356122725*x^3-25299130523085242069670*x^2+12755638015751654760875670595*x+1192942157019449876018829863524192

# g(x) = 422514617192682200051*x-16513176238962263804137384545

===

Debug:Command: Process with PID 437394 finished successfully

Info:Square Root: finished

Info:Square Root: Factors: 2178854888076590411870759037659807554316873875474297769909237649851977124357266487 4914246574524931112047961863026648312972340616928753938573019229

Debug:Square Root: Exit SqrtTask.run(sqrt)

Info:Complete Factorization / Discrete logarithm: Square Root

Info:Square Root: Total cpu/real time for sqrt: 5556.59/639.324

Info:HTTP server: Got notification to stop serving Workunits

Info:Polynomial Selection (root optimized): Aggregate statistics:

Info:Polynomial Selection (root optimized): Total time: 9263.07

Info:Polynomial Selection (root optimized): Rootsieve time: 9261.48

Info:Lattice Sieving: Aggregate statistics:

Info:Lattice Sieving: Total number of relations: 85174664

Info:Lattice Sieving: Average J: 7785.58 for 445591 special-q, max bucket fill -bkmult 1.0,1s:1.192790

Info:Lattice Sieving: Total time: 1.67724e+06s

Info:Polynomial Selection (size optimized): Aggregate statistics:

Info:Polynomial Selection (size optimized): potential collisions: 133692

Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 91907/43.480/54.261/66.060/2.426

Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 77952/42.670/47.089/59.660/1.343

Info:Polynomial Selection (size optimized): Total time: 129584

Info:Square Root: Total cpu/real time for sqrt: 5556.59/639.324

Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1633.01/1536.6

Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:

Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1014.1s

Info:Quadratic Characters: Total cpu/real time for characters: 122.1/29.9443

Info:Filtering - Singleton removal: Total cpu/real time for purge: 718.93/149.478

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 1099.6/2983.9

Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:

Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 2983.2s

Info:Filtering - Merging: Total cpu/real time for merge: 801.98/123.09

Info:Filtering - Merging: Total cpu/real time for replay: 51.21/47.3043

Info:Generate Factor Base: Total cpu/real time for makefb: 14.9/4.65444

Info:Generate Free Relations: Total cpu/real time for freerel: 1435.57/107.04

Info:Linear Algebra: Total cpu/real time for bwc: 93717/17938

Info:Linear Algebra: Aggregate statistics:

Info:Linear Algebra: Krylov: CPU time 45942.48, WCT time 10300.34, iteration CPU time 0.05, COMM 0.06, cpu-wait 0.02, comm-wait 0.01 (72000 iterations)

Info:Linear Algebra: Lingen CPU time 10719.35, WCT time 919.44

Info:Linear Algebra: Mksol: CPU time 31828.2,  WCT time 5902.03, iteration CPU time 0.08, COMM 0.06, cpu-wait 0.02, comm-wait 0.0 (36000 iterations)

Info:HTTP server: Shutting down HTTP server

Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 2.63009e+06/202584 [2d 08:16:24]

Info:root: Cleaning up computation data in /tmp/cado.84frfhzz

2178854888076590411870759037659807554316873875474297769909237649851977124357266487 4914246574524931112047961863026648312972340616928753938573019229



END:Tue 16 Apr 2024 22:37:55 AEST (10707430170117286600526308617367974363043867096065842500825989226257879790508548351653812180514283724480530751035872673474414856641513768928278523 - C146)

1845172418008195713734047957764898482311997775760210382618757023627503265935437980474941387701173584509938004907599117918381182658429711889335805308493905103586425219046064465242105595955457319047248073929597795037803<217>

101754472836158083502866001605730378604894126022254122276036477806423716655167111099989813965016186627666203958651186327872987407337556042160605290182511161040994150440951247890636965413555339<192>

145745508184643566864292780027311190060155985504741141810974749645830019095133374761022461162094260429862434402507469941702737559849701931056326598973837275615962439557966046869402400013360857847431501369256138922039<216>

537584778656120176315064793286572986784489775120049121301585041218048398711231796086939554619515154297228275505049005168436594151510386175329577278053986183303436259<165>

294100727409577158289316653849225764662233300533115889284041821539346241759616239795946786159094368656378087755636221580704471874450711730491937819230461945738062258919<168>

20565996115680411054554621792989980711085901180388664155624882865042284683142683232244828232468732222437833471822097499407069063600342987741671186210167894821515349033149400351943901269950260143265382618747895717131308909554397889<230>

170689748007999088866786287366796815322613<42>
120487588479635110404880583952413293665685991572375016340258287138192283863622863189691194473956422650807049940357631307823781239251441752545598296688688795900882793730776775773020372493853<189>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2445625450
Step 1 took 9625ms
Step 2 took 4422ms
********** Factor found in step 2: 170689748007999088866786287366796815322613
Found prime factor of 42 digits: 170689748007999088866786287366796815322613
Prime cofactor 120487588479635110404880583952413293665685991572375016340258287138192283863622863189691194473956422650807049940357631307823781239251441752545598296688688795900882793730776775773020372493853 has 189 digits
 

GMP-ECM

32251396419085683292965555390991858253076544868049168705778571478534037185063776784701072824923576295613698136121457955805796104499704849793927413356191330249529269866742117946328214675972135184985799<200>

61589655960070957588491531577816051<35>
523649562842086809130012165605916138823079599482815379257509529060204049238381247772265112707965031335915150739093095741540967662043553193928306001737080696383984349<165>

Resuming ECM residue saved by @5723decd7e7d with GMP-ECM 7.0.5-dev on Mon Nov 21 17:32:28 2022 
Input number is 32251396419085683292965555390991858253076544868049168705778571478534037185063776784701072824923576295613698136121457955805796104499704849793927413356191330249529269866742117946328214675972135184985799 (200 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:740971789
Step 1 took 0ms
Step 2 took 3391ms
********** Factor found in step 2: 61589655960070957588491531577816051
Found prime factor of 35 digits: 61589655960070957588491531577816051
Prime cofactor 523649562842086809130012165605916138823079599482815379257509529060204049238381247772265112707965031335915150739093095741540967662043553193928306001737080696383984349 has 165 digits

819875238216771704601874920808005602346424989665629613102492896492404059961155342210817751539801332616509990715408896280519121966468825146720564678253468966332463881863622445708681760130206364290825039216655554644705309<219>

19013257866647389223826123897892077233425305138989341807496178462516434208617947997089837850734587563888480327917535625739228950588930331651679279694917411330447731084445570414122123364180995675778535235391<206>

102904254424056842871063507451359072659123301845984346940240822640945050573516723687751345473186513801386485277505671196197024059595197520793752512711460000586468441003240618122185029606794586311639398227182859800327666877<222>

6679440144210237970814663905323293197<37>

15406119704995726289445344485871702562321736941738486393226132464645535094537699474923163541973830292908715571726646581956847484756816572895067349790188660147299694308772974282196611441<185>

Resuming ECM residue saved by @5723decd7e7d with GMP-ECM 7.0.5-dev on Mon Nov 21 16:51:06 2022 
Input number is 102904254424056842871063507451359072659123301845984346940240822640945050573516723687751345473186513801386485277505671196197024059595197520793752512711460000586468441003240618122185029606794586311639398227182859800327666877 (222 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:764843420
Step 1 took 0ms
Step 2 took 4792ms
********** Factor found in step 2: 6679440144210237970814663905323293197
Found prime factor of 37 digits: 6679440144210237970814663905323293197
Composite cofactor 15406119704995726289445344485871702562321736941738486393226132464645535094537699474923163541973830292908715571726646581956847484756816572895067349790188660147299694308772974282196611441 has 185 digits

2960214437827941173984310548480356251483824819492604504298175125567599070757752095095645519858763789216221188111478430873207262124922535175967412206605453444104543766334640641136466630161528338699187964870851776073<214>

3119900975658066390938444278137535093416758281<46>
948816792880279391377732973376089107182743671340395013972301881743165658865668242290468342808461995488918859465240334834658243425863680375554748067979114545082771488833<168>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2626992543
Step 1 took 9547ms
Step 2 took 4234ms
********** Factor found in step 2: 3119900975658066390938444278137535093416758281
Found prime factor of 46 digits: 3119900975658066390938444278137535093416758281
Prime cofactor 948816792880279391377732973376089107182743671340395013972301881743165658865668242290468342808461995488918859465240334834658243425863680375554748067979114545082771488833 has 168 digits

GMP-ECM

158167572752133883019423855782645727905033251100981518953357016797306435048632693940867300039897380046773137307418283857171104360094584432226350038949915264321837338180306391903869763856953741633<195>

486394106986052059986114332222958453743002286271766522333713075799844982069275635572449322544950739194950661020704280004869913809761588559227982779309546015431774303422412233924538368937467<189>

121738957469937012459594754693550456136642754932854564918693863439389734273688275588060922973657974233049155700487776509288782508153414936003551399372026585238549033643180187833321489183326955611233813712932247597471486458103<225>

3783365639292412180837024150096296847479187831236818376144173589583089749605243729526997075396794208155216751553967400562719556401980722094867711565165458267838343<163>

459259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<249>

407760444464645571838316875166687755391<39>

1126296739896453679774881486161971983176305880304968556363953815223949790527837388111417009324251905769910339686279490107825642458563399291482387632194649643435421658546443854847351105347506189183637327036966149<211>

C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3833101756 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 459259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259 (249 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3833101756
Step 1 took 25672ms
********** Factor found in step 1: 407760444464645571838316875166687755391
Found probable prime factor of 39 digits: 407760444464645571838316875166687755391
Composite cofactor 1126296739896453679774881486161971983176305880304968556363953815223949790527837388111417009324251905769910339686279490107825642458563399291482387632194649643435421658546443854847351105347506189183637327036966149 has 211 digits

2142605323786395471166833156603816225098949790423565719736541724455885680408260727048156473264172487110185726783397843637422127376687331282898052435174884120517284987227402653115945910391680227587261027387857735022157657921023453723337196882709<244>

59641206906339416034407159800714026366483324879899433786860882260334275903450383233034771467090109943153204213437064285580694875119596748576049854250508705435407257237<167>

26500163337719400124306271347394902313603<41>

2250597709390274606914147817171512589853456500128558765891343677196683103996031306740617855788148498529661143348523161362454279<127>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3527872263
Step 1 took 23578ms
Step 2 took 10234ms
********** Factor found in step 2: 26500163337719400124306271347394902313603
Found prime factor of 41 digits: 26500163337719400124306271347394902313603
Composite cofactor 2250597709390274606914147817171512589853456500128558765891343677196683103996031306740617855788148498529661143348523161362454279 has 127 digits
 

GMP-ECM

2250597709390274606914147817171512589853456500128558765891343677196683103996031306740617855788148498529661143348523161362454279<127>

45333457278987367407924903829928016403788387126905752661276273<62>
49645401971877737161579670740045305783213878394145430852794700023<65>

Number: 1
N=2250597709390274606914147817171512589853456500128558765891343677196683103996031306740617855788148498529661143348523161362454279
  ( 127 digits)
Divisors found:
 r1=45333457278987367407924903829928016403788387126905752661276273 (pp62)
 r2=49645401971877737161579670740045305783213878394145430852794700023 (pp65)
Version: Msieve v. 1.52 (SVN 927)
Total time: 73.79 hours.
Scaled time: 576.50 units (timescale=7.813).
Factorization parameters were as follows:
name: 1
n: 2250597709390274606914147817171512589853456500128558765891343677196683103996031306740617855788148498529661143348523161362454279
skew: 156185.94
# norm 1.99e+017
c5: 40620
c4: -25329096664
c3: -3907516371445305
c2: 512434585740567178029
c1: 30040955586737575574322365
c0: -2103667257880753073758001203557
# alpha -5.28
Y1: 26486182786283
Y0: -2232092732182295673923042
# Murphy_E 1.07e-010
# M 2143932246877834105132726036587417942643137378259887661016454427192071655824900873955320769999738263257439114702033443794206085
type: gnfs
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [3050000, 7550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1251915 x 1252149
Total sieving time: 73.42 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,126,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6100000,6100000,28,28,55,55,2.5,2.5,100000
total time: 73.79 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

3260772776507932683742683207696456576136761182995285194531866649602143145446418315503271892053500285863043055068505336974324146462830659696598428627769191057405689572390424002863677825519092390859625571981756999297<214>

13135711292132100683136738436369260912068539618990766166064789021961166436525312472352123359839011728560635545619553748411370919739005068465446580950159072751427176038077425862702919291023348476552716483058618830768096167<221>

43404145095856654310486651475215883116837657996338650341107575773486367948139047279015145946437884818000119011365585413406980366625012688711771974223538347912225617546475688428244897387700525400175716780952580971482776605165793333263326647694854858639<251>

275738249491986867287331236493182521<36>

157410679061839793728727808997666103893337724044347679905538962890084378971422968140859025266992278063212541097702991936032962624775118474625955488549755933472604327109294784356621308640632345133296580566735474301959<216>

Resuming ECM residue saved by @5723decd7e7d with GMP-ECM 7.0.5-dev on Mon Nov 21 16:21:39 2022 
Input number is 43404145095856654310486651475215883116837657996338650341107575773486367948139047279015145946437884818000119011365585413406980366625012688711771974223538347912225617546475688428244897387700525400175716780952580971482776605165793333263326647694854858639 (251 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3785527602
Step 1 took 0ms
Step 2 took 5228ms
********** Factor found in step 2: 275738249491986867287331236493182521
Found prime factor of 36 digits: 275738249491986867287331236493182521
Composite cofactor 157410679061839793728727808997666103893337724044347679905538962890084378971422968140859025266992278063212541097702991936032962624775118474625955488549755933472604327109294784356621308640632345133296580566735474301959 has 216 digits

400427762317166501570170030086349110299747351466943517795251597040971467112275668029580097037890489408862710342662517965724168768418935968073139551253351522898183731368543034991899103336641852959453208741888421<210>

1201328962590988592574897063404925065951027302991463192551811363463415333475103681899142124708703425271612076886153446596445188705763944617548203784447840349956310947179228474263548604450495219177306411576437026671929681<220>

2429245411454917653633008159125055240925353001663611207515402045574991024365066880706604207960882259664903528460308311396501713465042096415199130419323031887372386038568081460783293713198687008123621335279692418902273610578279408784921023361<241>

742137623983838234213043302777089873<36>

3273308525195887520945404511905945341217505004922467773300327646867490644097186751890923746332021026592362630527662429751349019335889284798984526198909766476177492336173142494359775112097996324746081662257<205>

Resuming ECM residue saved by @5723decd7e7d with GMP-ECM 7.0.5-dev on Mon Nov 21 15:10:43 2022 
Input number is 2429245411454917653633008159125055240925353001663611207515402045574991024365066880706604207960882259664903528460308311396501713465042096415199130419323031887372386038568081460783293713198687008123621335279692418902273610578279408784921023361 (241 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2267949263
Step 1 took 0ms
Step 2 took 4476ms
********** Factor found in step 2: 742137623983838234213043302777089873
Found prime factor of 36 digits: 742137623983838234213043302777089873
Composite cofactor 3273308525195887520945404511905945341217505004922467773300327646867490644097186751890923746332021026592362630527662429751349019335889284798984526198909766476177492336173142494359775112097996324746081662257 has 205 digits

517078101091328347363185480573702424560842512449754544045580330808039834780256846475092958928610620664336366480189460003367328465036094666321635460468229186087284188028809239297357957322796880503106104821107<207>

26229798625753300778190078111234684119<38>
19713384325552680052647051481182076327599588271372449521352700887969757421203098755505807720556339091874789935292151926636608046484478082645196641590595493209070711981253<170>

Resuming ECM residue saved by @5723decd7e7d with GMP-ECM 7.0.5-dev on Mon Nov 21 17:11:48 2022 
Input number is 517078101091328347363185480573702424560842512449754544045580330808039834780256846475092958928610620664336366480189460003367328465036094666321635460468229186087284188028809239297357957322796880503106104821107 (207 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2015999603
Step 1 took 0ms
Step 2 took 3870ms
********** Factor found in step 2: 26229798625753300778190078111234684119
Found prime factor of 38 digits: 26229798625753300778190078111234684119
Prime cofactor 19713384325552680052647051481182076327599588271372449521352700887969757421203098755505807720556339091874789935292151926636608046484478082645196641590595493209070711981253 has 170 digits

558878189103380269715041399063915513187955075993617736419453516354884935423567655350557803989993295447098400771652778280879116657484282947757956642878613395150313475780061<171>

15116453533979498884687103198952571537603777<44>
36971515034733955013132313555411066815019649417389572502981189885890424306548794444559039632022380739753301720216667877603134493<128>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3162337795
Step 1 took 6375ms
Step 2 took 3094ms
********** Factor found in step 2: 15116453533979498884687103198952571537603777
Found prime factor of 44 digits: 15116453533979498884687103198952571537603777
Prime cofactor 36971515034733955013132313555411066815019649417389572502981189885890424306548794444559039632022380739753301720216667877603134493 has 128 digits

GMP-ECM

15057650968087168679925535040060223792529883522717894805592393175646332943016545411037653321230385606811679087256993439694068217662386977060589562364697122994836377045929826339984274496626376809176840942688652858943<215>

228209577405497481693054412251861499396897938045053972754589260249575107775182370697081943456569269719012092842008459886839008784789886029464580722077<150>

2835396205448370717299434922011718833046108223758453376502376098062163<70>
80485957118437328009095331098555030937049361189244085370191684997332838868742479<80>

FACTORS
2835396205448370717299434922011718833046108223758453376502376098062163
80485957118437328009095331098555030937049361189244085370191684997332838868742479
POLYNOMIAL
n: 228209577405497481693054412251861499396897938045053972754589260249575107775182370697081943456569269719012092842008459886839008784789886029464580722077
skew: 89357.19
c0: 853998954905514168516924303029046
c1: -37822719937674063983789712421
c2: -186658208532248033888532
c3: 10011837690689074579
c4: 11472881444652
c5: 1028160
Y0: 2165865068453538283606546458
Y1: 300749257862247119739763
# MurphyE (Bf=2.147e+09,Bg=2.147e+09,area=4.027e+14) = 6.147e-07
# f(x) = 1028160*x^5+11472881444652*x^4+10011837690689074579*x^3-186658208532248033888532*x^2-37822719937674063983789712421*x+853998954905514168516924303029046
# g(x) = 300749257862247119739763*x+2165865068453538283606546458

cado-nfs

2x Xeon E5-2697Av4, 256GB DDR4, Ubuntu Server 24.04

9573776680951225429227090734045666663708650390680541964805484321620443869541118241877413445803176923933215699939263071563297512813252518201174218654249927853576148608715798334563264870472606602343213447815428400854523551263190368036196539<238>

6034754086298428212980454541712676907727927267245634480878398761676566541334116616746446162563036747412422593172800907656652564157645489980005181611131134780663278944534065307646535790153283579956592629538445431917038379996732599477<232>

4729921722585834149804729765043192037<37>

1275867644380221600688808210715125343020638109305438170572503276581775231393681336733903968555644651455207295210786657727882683945463754206093344399911382972070725352449010054942227074010143199121<196>

Resuming ECM residue saved by @5723decd7e7d with GMP-ECM 7.0.5-dev on Mon Nov 21 15:53:33 2022 
Input number is 6034754086298428212980454541712676907727927267245634480878398761676566541334116616746446162563036747412422593172800907656652564157645489980005181611131134780663278944534065307646535790153283579956592629538445431917038379996732599477 (232 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3467042403
Step 1 took 0ms
Step 2 took 4307ms
********** Factor found in step 2: 4729921722585834149804729765043192037
Found prime factor of 37 digits: 4729921722585834149804729765043192037
Composite cofactor 1275867644380221600688808210715125343020638109305438170572503276581775231393681336733903968555644651455207295210786657727882683945463754206093344399911382972070725352449010054942227074010143199121 has 196 digits

145859369082903445114921436794079264456817623058105080066167261721462308453792118383334718252174348026235855343913613849402035602051272272530702403531140634453253548468845601393579373336726011802479775790221328162923719<219>

12379446649308532172184421719087532065056206797662404402916829728262020142593432426711209926472535351021771574017091044394829270425801012400982924659156915289871023212738735677278273731106271364149348098663159871931102973<221>

17959326160768259071546944773600694013<38>

689304628608569556609499790099675504807842151882176730210281472425299474231724451865189766587167353949197793608169804365624009893818792411597640258800499633438788416257337839926609921<183>

Resuming ECM residue saved by @5723decd7e7d with GMP-ECM 7.0.5-dev on Mon Nov 21 13:57:46 2022 
Input number is 12379446649308532172184421719087532065056206797662404402916829728262020142593432426711209926472535351021771574017091044394829270425801012400982924659156915289871023212738735677278273731106271364149348098663159871931102973 (221 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1630916830
Step 1 took 0ms
Step 2 took 4200ms
********** Factor found in step 2: 17959326160768259071546944773600694013
Found prime factor of 38 digits: 17959326160768259071546944773600694013
Composite cofactor 689304628608569556609499790099675504807842151882176730210281472425299474231724451865189766587167353949197793608169804365624009893818792411597640258800499633438788416257337839926609921 has 183 digits

6333850276421640318869399119176450947710109665471061713248469716578061369476087228627984569207317120495358712535631382660389163830823978041185005085179698006937506364502116591700590475190151847204921086231141420832339297754907<226>

343937291775083496580875051689178875414910872426526416029334801720815533427407544877564981370379003052503513710376432435238923582027913932220616400093231672159666777590306810402429746548756063406222120213907064978021278945890592301144003798609651391<249>

5886935607499528555059711999699910064241199199400089865587910693397911734242333018465694962442882290843061094508669118472130561348611568791787130170017005325264283739207779422235695807246138494324058453843966540592635633657797847389066971527272779<247>

51028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251<272>

888224480277498929503494866180463848254156802824544345893435277356538025512512080052012737508067327181378953853931495594733454786760962088348376187016751402019055148162659720780205519384167<189>

13137300649207793115903103804711568891372506473223879174720885101014646615845698965100850579691283193353645170492393343359793733624481927533221028908755465448756835465581960273546519231903131725448606592455649121697512702394316845902356522982891<245>

93566236300536010115093984598974993406914860057330434186616100532795859314921667558508700681930431896558419196228214792067636254479830489262782838500436757255278301882849703407543683788493643503172649645573816873905942070047668669618053460056975440074173217369711<263>

8200398334030615823934005776814481613998625880209522293875155656865315667919025599661659275753503847300556157295392425306151101473105904086098575315760300309582242961060802229940508843530674626961898149509398639104236503319927336393626808077604599<247>

334930850037596892770226401172805316965876371747009812797831974456615407469137684054229270850604640223994362418002036843609519205714060540429580023165486840739904611083470807658996315601017221617873266519906612776087615418916479906185998555120737791921302538491233094109757<273>

1944095459117699601581480815200521701<37>

172281072139122505516546925647806167418916163185932103022519554438511405153378219066557661789809384711141798498401642855113881444678970011935135008667554971352173376797897282843882129680454478026060304710539589697019208771161464766612857<237>

Resuming ECM residue saved by @5723decd7e7d with GMP-ECM 7.0.5-dev on Mon Nov 21 14:50:02 2022 
Input number is 334930850037596892770226401172805316965876371747009812797831974456615407469137684054229270850604640223994362418002036843609519205714060540429580023165486840739904611083470807658996315601017221617873266519906612776087615418916479906185998555120737791921302538491233094109757 (273 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3595210835
Step 1 took 0ms
Step 2 took 5145ms
********** Factor found in step 2: 1944095459117699601581480815200521701
Found prime factor of 37 digits: 1944095459117699601581480815200521701
Composite cofactor 172281072139122505516546925647806167418916163185932103022519554438511405153378219066557661789809384711141798498401642855113881444678970011935135008667554971352173376797897282843882129680454478026060304710539589697019208771161464766612857 has 237 digits

471543977421401298798690873785542013923621843655764651842593521669955546739814085275740988365219838702605912325026431562054907352361863377557849997017778736654310458194805252698047869817645404827893806891844686388506605279924463<228>

70893707272925563587537287995924424752617532869390766927807617206213071989503419569262230429940923771264559965442340116276714246065163453816822209837740949034693967350962118912240454537843905346096684098364234282939358877151739280591943401<239>

19582073409281322699499229452941757445448386583753452197195551475231528610093809452011303446578349597084541611009046535895682146972900074026605924779981158143399472653301065186051263086138220453670907055352838527658220971850091244307969755386872755705275199009686315150797089<275>

2762738676113450526925562016799233562818884655660272263440500857785798631998752311565626183633001359089187442907114052090992135106833322193258026424258627988325201078359289708798431477396787202281487422854978499654657665485818684134304747900095804647639418042465967069937392776775171<283>

168072586389397500741250678331918860150283604297821135715650458926155962940565861729802986711218920389546234979992044074491089394390553351518036731624126625171092076357352912070868978802148904390608350289079176467204897375054878013868977640080951472682718058252591187823<270>

112958647647658464596107033137396675651765623017400967858310287514921839542020520825431725161867306662632262909219494897628798177651878082747071892060194671936057778314356810030839322852494274971791842804054797805801066499405134692435151628668644348513721076662249<264>

58598488490822988865457105052332260532233<41>

1927671695240888836357542703935350380573684603381287301143859374062526902837379719619135573207433344438459485623553583573084151487292764467570423768852989694296512572814019088543653386305124641870885913990195995525155248353<223>

Resuming ECM residue saved by @5723decd7e7d with GMP-ECM 7.0.5-dev on Mon Nov 21 14:35:17 2022 
Input number is 112958647647658464596107033137396675651765623017400967858310287514921839542020520825431725161867306662632262909219494897628798177651878082747071892060194671936057778314356810030839322852494274971791842804054797805801066499405134692435151628668644348513721076662249 (264 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1486859542
Step 1 took 1ms
Step 2 took 6128ms
********** Factor found in step 2: 58598488490822988865457105052332260532233
Found prime factor of 41 digits: 58598488490822988865457105052332260532233
Composite cofactor 1927671695240888836357542703935350380573684603381287301143859374062526902837379719619135573207433344438459485623553583573084151487292764467570423768852989694296512572814019088543653386305124641870885913990195995525155248353 has 223 digits

5796499683839306769888026232871921841990813004711449189957300714293743858679948120836327674291946296327799037854722691944327233450898590678324998796508486837993422071436630919829926002928339705681053205705396263279<214>

4243491168388828620263150769554821<34>

1365974254175277426975916518897165884554985527937136887105046566703348591962328723243231052439896641767458671812387415900733075892580467794869305169847940268894558051424130389216099<181>

Resuming ECM residue saved by @5723decd7e7d with GMP-ECM 7.0.5-dev on Mon Nov 21 14:30:49 2022 
Input number is 5796499683839306769888026232871921841990813004711449189957300714293743858679948120836327674291946296327799037854722691944327233450898590678324998796508486837993422071436630919829926002928339705681053205705396263279 (214 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2272193904
Step 1 took 0ms
Step 2 took 3648ms
********** Factor found in step 2: 4243491168388828620263150769554821
Found prime factor of 34 digits: 4243491168388828620263150769554821
Composite cofactor 1365974254175277426975916518897165884554985527937136887105046566703348591962328723243231052439896641767458671812387415900733075892580467794869305169847940268894558051424130389216099 has 181 digits

1365974254175277426975916518897165884554985527937136887105046566703348591962328723243231052439896641767458671812387415900733075892580467794869305169847940268894558051424130389216099<181>

9567947490858858753802060819027571635801<40>
142765651199519898044607388405911464737969385282511203277386042127012140913921824498120615063574680035983671361054513755738533529693738831899<141>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:522657573
Step 1 took 7641ms
Step 2 took 3468ms
********** Factor found in step 2: 9567947490858858753802060819027571635801
Found prime factor of 40 digits: 9567947490858858753802060819027571635801
Prime cofactor 142765651199519898044607388405911464737969385282511203277386042127012140913921824498120615063574680035983671361054513755738533529693738831899 has 141 digits
 

GMP-ECM