184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613<105>

179569998200725766946836172895283<33>
1027060918496599599264064164553211497280113847981996947741601383705338511<73>

=184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613
  ( 105 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=179569998200725766946836172895283 (pp33)
 r2=1027060918496599599264064164553211497280113847981996947741601383705338511 (pp73)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.23 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613
m: 100000000000000000000000000
deg: 4
c4: 2440
c0: -1
skew: 0.14
# Murphy_E = 1.707e-07
type: snfs
lss: 1
rlim: 430000
alim: 430000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 430000/430000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [215000, 355001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 36868 x 37093
Total sieving time: 0.22 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,107.000,4,0,0,0,0,0,0,0,0,430000,430000,25,25,44,44,2.2,2.2,20000
total time: 0.23 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)

2711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<112>

25103844084919901709665796915433936560281940733<47>
107995855214050633093586499572470177994404946502258556405835554067<66>

N=2711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
  ( 112 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=25103844084919901709665796915433936560281940733 (pp47)
 r2=107995855214050633093586499572470177994404946502258556405835554067 (pp66)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.50 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 10000000000000000000000000000
deg: 4
c4: 61
c0: -25
skew: 0.80
# Murphy_E = 6.926e-08
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [275000, 575001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 63583 x 63808
Total sieving time: 0.48 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,113.000,4,0,0,0,0,0,0,0,0,550000,550000,25,25,45,45,2.2,2.2,20000
total time: 0.50 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)

180522940444840306260319282069089942753591453684686168097300861568009383248858388818109039422399976114469<105>

2350919678443668057022811349995313334783927<43>
76788221265112837823372434434760018429301146738763558678623747<62>

N=180522940444840306260319282069089942753591453684686168097300861568009383248858388818109039422399976114469
  ( 105 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=2350919678443668057022811349995313334783927 (pp43)
 r2=76788221265112837823372434434760018429301146738763558678623747 (pp62)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.82 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 180522940444840306260319282069089942753591453684686168097300861568009383248858388818109039422399976114469
m: 1000000000000000000000000000000
deg: 4
c4: 244
c0: -1
skew: 0.25
# Murphy_E = 2.714e-08
type: snfs
lss: 1
rlim: 770000
alim: 770000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 770000/770000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [385000, 760001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 77906 x 78131
Total sieving time: 0.81 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,122.000,4,0,0,0,0,0,0,0,0,770000,770000,25,25,46,46,2.2,2.2,75000
total time: 0.82 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)

338165885575747015104074919030970537204500779660089896364226098482225037627846286146221832101306105043347268083701<114>

5716150513331893895138991410580953269<37>
59159723801365246509612492351901221132919056716006017746013858770827037848129<77>

N=338165885575747015104074919030970537204500779660089896364226098482225037627846286146221832101306105043347268083701
  ( 114 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=5716150513331893895138991410580953269 (pp37)
 r2=59159723801365246509612492351901221132919056716006017746013858770827037848129 (pp77)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.49 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 338165885575747015104074919030970537204500779660089896364226098482225037627846286146221832101306105043347268083701
m: 1000000000000000000000000000000
deg: 4
c4: 2440
c0: -1
skew: 0.14
# Murphy_E = 3.066e-08
type: snfs
lss: 1
rlim: 800000
alim: 800000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [400000, 775001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 72618 x 72845
Total sieving time: 0.48 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,123.000,4,0,0,0,0,0,0,0,0,800000,800000,25,25,46,46,2.2,2.2,75000
total time: 0.49 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)

9977464617838728330869175016883572286216853795714383526432602471294159008154327189083396589863448756171<103>

933239099890659812073814344193451659<36>
10691220094622812465932305795036790789705371770352220170222488466369<68>

p36:933239099890659812073814344193451659
p68:10691220094622812465932305795036790789705371770352220170222488466369

ECM

5809661165134413682541622380017533092326122087438514688331059425307513524405661138286627273132934014585552241<109>

128373031918444254684891717298784448213974966959813<51>
45256087499945530838949380122861852244205039765752260423357<59>

N=5809661165134413682541622380017533092326122087438514688331059425307513524405661138286627273132934014585552241
  ( 109 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=128373031918444254684891717298784448213974966959813 (pp51)
 r2=45256087499945530838949380122861852244205039765752260423357 (pp59)
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:
67775_131.poly
n: 5809661165134413682541622380017533092326122087438514688331059425307513524405661138286627273132934014585552241
m: 100000000000000000000000000000000
deg: 4
c4: 2440
c0: -1
skew: 0.14
# Murphy_E = 1.26e-08
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1080000/1080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [540000, 1040001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 138012 x 138237
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131.000,4,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,100000
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)

25951967280725194675997081164218026684741393247066022482829629621810575574841418482239169221118163459296823158030863901<119>

3737623596362874349055727265522428390382086102600121183<55>
6943440560996928756070007134843084947789083228423838462953350147<64>

Number: 1
N=25951967280725194675997081164218026684741393247066022482829629621810575574841418482239169221118163459296823158030863901
  ( 119 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=3737623596362874349055727265522428390382086102600121183 (pp55)
 r2=6943440560996928756070007134843084947789083228423838462953350147 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.82 hours.
Scaled time: 29.73 units (timescale=7.782).
Factorization parameters were as follows:
n: 25951967280725194675997081164218026684741393247066022482829629621810575574841418482239169221118163459296823158030863901
m: 1000000000000000000000000000000000
deg: 4
c4: 244
c0: -1
skew: 0.25
# Murphy_E = 7.109e-09
type: snfs
lss: 1
rlim: 1220000
alim: 1220000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1220000/1220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [610000, 1610001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 176338 x 176563
Total sieving time: 3.79 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,134.000,4,0,0,0,0,0,0,0,0,1220000,1220000,26,26,47,47,2.3,2.3,100000
total time: 3.82 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

339136466284404923086078379812812319386206726490529737549987274703843267205574549622672581770430581775929120473<111>

2841317479144188290708549575768787977753<40>
119358877976055547465915753487157358541483213812470826923848734380994241<72>

Number: 1
N=339136466284404923086078379812812319386206726490529737549987274703843267205574549622672581770430581775929120473
  ( 111 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=2841317479144188290708549575768787977753 (pp40)
 r2=119358877976055547465915753487157358541483213812470826923848734380994241 (pp72)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.22 hours.
Scaled time: 48.19 units (timescale=7.746).
Factorization parameters were as follows:
n: 339136466284404923086078379812812319386206726490529737549987274703843267205574549622672581770430581775929120473
m: 10000000000000000000000000000000000
deg: 4
c4: 2440
c0: -1
skew: 0.14
# Murphy_E = 5.076e-09
type: snfs
lss: 1
rlim: 1470000
alim: 1470000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1470000/1470000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [735000, 1335001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 166146 x 166371
Total sieving time: 6.19 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,139.000,4,0,0,0,0,0,0,0,0,1470000,1470000,26,26,48,48,2.3,2.3,100000
total time: 6.22 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

6458766091949204148736612989034130486877859161273718477449162214639590133844952044392282385324490779<100>

72417462673278524100828960334592752232587592221<47>
89187964525750198554078428989231069435644863671022999<53>

6458766091949204148736612989034130486877859161273718477449162214639590133844952044392282385324490779=72417462673278524100828960334592752232587592221*89187964525750198554078428989231069435644863671022999

cado polynomial
n: 6458766091949204148736612989034130486877859161273718477449162214639590133844952044392282385324490779
skew: 1859292.577
c0: 18448863196245619607495512252
c1: 10793928235397414705619
c2: -21021146118815867
c3: -3489121624
c4: 1920
Y0: -1610549711667109528906823
Y1: 37163212622441
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 2.830e-06
# f(x) = 1920*x^4-3489121624*x^3-21021146118815867*x^2+10793928235397414705619*x+18448863196245619607495512252
# g(x) = 37163212622441*x-1610549711667109528906823

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

cado log (extracts)
Info:Square Root: Factors: 89187964525750198554078428989231069435644863671022999 72417462673278524100828960334592752232587592221
Info:Square Root: Total cpu/real time for sqrt: 232.57/32.6463
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 5819/33.860/38.091/38.930/0.684
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3356/33.480/36.597/38.910/1.003
Info:Polynomial Selection (size optimized): Total time: 123.51
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 88.83
Info:Polynomial Selection (root optimized): Rootsieve time: 80.24
Info:Generate Factor Base: Total cpu/real time for makefb: 0.92/0.162259
Info:Generate Free Relations: Total cpu/real time for freerel: 27.91/3.51595
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2396381
Info:Lattice Sieving: Average J: 1024 for 77144 special-q, max bucket fill -bkmult 1.0,1s:1.314480
Info:Lattice Sieving: Total time: 8112.75s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 5.6/4.88522
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 4.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 24.76/8.50331
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 7.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 12.73/6.4909
Info:Filtering - Merging: Merged matrix has 186769 rows and total weight 31818114 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 59.83/8.19912
Info:Filtering - Merging: Total cpu/real time for replay: 6.53/5.34482
Info:Linear Algebra: Total cpu/real time for bwc: 399.69/108.11
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 63.21, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5888 iterations)
Info:Linear Algebra: Lingen CPU time 17.51, WCT time 4.75
Info:Linear Algebra: Mksol: WCT time 36.22, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2944 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 8.14/2.00314
Info:Square Root: Total cpu/real time for sqrt: 232.57/32.6463
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 21412.2/2313.69
Info:root: Cleaning up computation data in /tmp/cado.a91uclk2
89187964525750198554078428989231069435644863671022999 72417462673278524100828960334592752232587592221

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)

48962492123800538212693964668793687401322301324971805784852942886623233923270945503542115144756031423030518863557044497073<122>

3432484271157297764413050238237326997980364211369434765109<58>
14264447629148880225135869557705594297710811129362395599781603597<65>

Number: 1
N=48962492123800538212693964668793687401322301324971805784852942886623233923270945503542115144756031423030518863557044497073
  ( 122 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=3432484271157297764413050238237326997980364211369434765109 (pp58)
 r2=14264447629148880225135869557705594297710811129362395599781603597 (pp65)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.31 hours.
Scaled time: 48.88 units (timescale=7.752).
Factorization parameters were as follows:
n: 48962492123800538212693964668793687401322301324971805784852942886623233923270945503542115144756031423030518863557044497073
m: 100000000000000000000000000000000000
deg: 4
c4: 122
c0: -5
skew: 0.45
# Murphy_E = 4.274e-09
type: snfs
lss: 1
rlim: 1630000
alim: 1630000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1630000/1630000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [815000, 1415001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 175904 x 176129
Total sieving time: 6.27 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,142.000,4,0,0,0,0,0,0,0,0,1630000,1630000,26,26,48,48,2.3,2.3,100000
total time: 6.31 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

22552226981704282094938619568239438947405203073254858236343962034406164944128632716430852711173313036854036066922400029146424209426805313<137>

185888382898821032736178110851870239254402867717384908580300541<63>
121321336115874705253688922751576386622716643266626439104919882782375155093<75>

Number: n
N=22552226981704282094938619568239438947405203073254858236343962034406164944128632716430852711173313036854036066922400029146424209426805313  ( 137 digits)
SNFS difficulty: 146 digits.
Divisors found:

Wed Nov  9 00:45:27 2022  p63 factor: 185888382898821032736178110851870239254402867717384908580300541
Wed Nov  9 00:45:27 2022  p75 factor: 121321336115874705253688922751576386622716643266626439104919882782375155093
Wed Nov  9 00:45:27 2022  elapsed time 00:04:01 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.302).
Factorization parameters were as follows:
#
# N = 61x10^146-25 = 67(145)5
#
n: 22552226981704282094938619568239438947405203073254858236343962034406164944128632716430852711173313036854036066922400029146424209426805313
m: 1000000000000000000000000000000000000
deg: 4
c4: 244
c0: -1
skew: 0.25
# Murphy_E = 1.784e-09
type: snfs
lss: 1
rlim: 1930000
alim: 1930000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1930000/1930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6565000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 616017 hash collisions in 6915341 relations (7033954 unique)
Msieve: matrix is 310569 x 310794 (103.6 MB)

Sieving start time : 2022/11/09 00:11:55
Sieving end time  : 2022/11/09 00:41:13

Total sieving time: 0hrs 29min 18secs.

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

Prototype def-par.txt line would be:
snfs,146,4,0,0,0,0,0,0,0,0,1930000,1930000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

58865261235318721177552132892586368813731074297729319060982676370545710061380610255702669285723306335905807370639461077598457620541<131>

174044163808340849824988758847718240797<39>
338220253683092341840490134912893317965939817963047819064269685487997663766521789525982753953<93>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 58865261235318721177552132892586368813731074297729319060982676370545710061380610255702669285723306335905807370639461077598457620541 (131 digits)
Using B1=26120000, B2=96191014936, polynomial Dickson(12), sigma=1:1021036279
Step 1 took 41255ms
Step 2 took 15659ms
********** Factor found in step 2: 174044163808340849824988758847718240797
Found prime factor of 39 digits: 174044163808340849824988758847718240797
Prime cofactor 338220253683092341840490134912893317965939817963047819064269685487997663766521789525982753953 has 93 digits

76002572380621498704779608545055851823363198379900641001964448275522033596317974619441436037324042940554211109199254286073029744896070156821<140>

3566344136128165720143032959527894860123467<43>
166593822725752854753051137265836519394886328923<48>
127922267674200492537262929256877659924079840637581<51>

Number: 1
N=76002572380621498704779608545055851823363198379900641001964448275522033596317974619441436037324042940554211109199254286073029744896070156821
  ( 140 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=3566344136128165720143032959527894860123467 (pp43)
 r2=166593822725752854753051137265836519394886328923 (pp48)
 r3=127922267674200492537262929256877659924079840637581 (pp51)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.13 hours.
Scaled time: 71.68 units (timescale=7.855).
Factorization parameters were as follows:
n: 76002572380621498704779608545055851823363198379900641001964448275522033596317974619441436037324042940554211109199254286073029744896070156821
m: 1000000000000000000000000000000
deg: 5
c5: 244
c0: -1
skew: 0.33
# Murphy_E = 1.229e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 1900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 429689 x 429918
Total sieving time: 9.03 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:
snfs,152.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 9.13 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

5154892585665177515381069202045655742794352764468542299685891690678642242701089349225022110580769846447369507961066110377700881146493744527283990828263<151>

504823697858069265803592296793938745063259254824013463307164568465155189<72>
10211272980125570465058142938362325047002950959721304978362033980286459063695467<80>

Number: n
N=5154892585665177515381069202045655742794352764468542299685891690678642242701089349225022110580769846447369507961066110377700881146493744527283990828263  ( 151 digits)
SNFS difficulty: 158 digits.
Divisors found:

Wed Nov  9 21:52:58 2022  p72 factor: 504823697858069265803592296793938745063259254824013463307164568465155189
Wed Nov  9 21:52:58 2022  p80 factor: 10211272980125570465058142938362325047002950959721304978362033980286459063695467
Wed Nov  9 21:52:58 2022  elapsed time 00:07:33 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 61x10^158-25 = 67(157)5
#
n: 5154892585665177515381069202045655742794352764468542299685891690678642242701089349225022110580769846447369507961066110377700881146493744527283990828263
m: 10000000000000000000000000000000
deg: 5
c5: 2440
c0: -1
skew: 0.21
# Murphy_E = 6.833e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1517576 hash collisions in 14915913 relations (14349230 unique)
Msieve: matrix is 416285 x 416510 (138.9 MB)

Sieving start time : 2022/11/09 20:56:24
Sieving end time  : 2022/11/09 21:45:07

Total sieving time: 0hrs 48min 43secs.

Total relation processing time: 0hrs 2min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 28sec.

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6327850872970882952047882673288686523098314422300867860855418302875924604237300986313383639327898374480539284759826701975845367<127>

1832534885281177344185590373972013571<37>
3453058887880304131092844367569396531785536430305302459647081956027465781834654849754132477<91>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 6327850872970882952047882673288686523098314422300867860855418302875924604237300986313383639327898374480539284759826701975845367 (127 digits)
Using B1=28510000, B2=144287903776, polynomial Dickson(12), sigma=1:1042659052
Step 1 took 44424ms
Step 2 took 19443ms
********** Factor found in step 2: 1832534885281177344185590373972013571
Found prime factor of 37 digits: 1832534885281177344185590373972013571
Prime cofactor 3453058887880304131092844367569396531785536430305302459647081956027465781834654849754132477 has 91 digits

271111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<165>

773683598077301026738758407842299761006592769<45>
350415999233867168765603325277337181062627661388481915864321440450405836920557772672067940044179373599021218844057656519<120>

Number: n
N=271111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111  ( 165 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sun Nov 13 15:03:37 2022  p45 factor: 773683598077301026738758407842299761006592769
Sun Nov 13 15:03:37 2022  p120 factor: 350415999233867168765603325277337181062627661388481915864321440450405836920557772672067940044179373599021218844057656519
Sun Nov 13 15:03:37 2022  elapsed time 00:07:14 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 61x10^165-25 = 67(164)5
#
n: 271111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 1000000000000000000000000000000000
deg: 5
c5: 61
c0: -25
skew: 0.84
# Murphy_E = 3.814e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1675654 hash collisions in 14796281 relations (14013896 unique)
Msieve: matrix is 470688 x 470916 (162.4 MB)

Sieving start time : 2022/11/13 13:44:24
Sieving end time  : 2022/11/13 14:43:24

Total sieving time: 0hrs 59min 0secs.

Total relation processing time: 0hrs 3min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 25sec.

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

2711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<166>

489383879089649312193956866084017308044235311<45>
1136493097698452346723238191622101077064726149001431552429591<61>
4874508762157172187380482554770642400462377346128453507405311<61>

Number: n
N=2711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111  ( 166 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sun Nov 13 09:08:25 2022  found factor: 4874508762157172187380482554770642400462377346128453507405311
Sun Nov 13 09:08:56 2022  p45 factor: 489383879089649312193956866084017308044235311
Sun Nov 13 09:08:56 2022  p61 factor: 1136493097698452346723238191622101077064726149001431552429591
Sun Nov 13 09:08:56 2022  p61 factor: 4874508762157172187380482554770642400462377346128453507405311
Sun Nov 13 09:08:56 2022  elapsed time 00:12:04 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 61x10^166-25 = 67(165)5
#
n: 2711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 1000000000000000000000000000000000
deg: 5
c5: 122
c0: -5
skew: 0.53
# Murphy_E = 3.018e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3070440 hash collisions in 21538588 relations (19187018 unique)
Msieve: matrix is 802333 x 802577 (127.7 MB)

Sieving start time : 2022/11/13 07:37:51
Sieving end time  : 2022/11/13 08:56:16

Total sieving time: 1hrs 18min 25secs.

Total relation processing time: 0hrs 5min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 2sec.

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

598722766211448572098364512308475840667136495189915052228120305573028270719696202156997660882052773909302134617805358615038410779951363223<138>

7281775712499523666715079159226173317175849562707371<52>
82222082888890919985638051382641158057303914134661733189887126076783843136811313289413<86>

598722766211448572098364512308475840667136495189915052228120305573028270719696202156997660882052773909302134617805358615038410779951363223=7281775712499523666715079159226173317175849562707371*82222082888890919985638051382641158057303914134661733189887126076783843136811313289413

cado polynomial
n: 598722766211448572098364512308475840667136495189915052228120305573028270719696202156997660882052773909302134617805358615038410779951363223
skew: 0.33
type: snfs
c0: -1
c5: 244
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 244*x^5-1
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4300000
tasks.lim1 = 4300000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 7281775712499523666715079159226173317175849562707371 82222082888890919985638051382641158057303914134661733189887126076783843136811313289413
Info:Square Root: Total cpu/real time for sqrt: 125.09/41.2608
Info:Generate Free Relations: Total cpu/real time for freerel: 60.05/18.0692
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.88/42.584
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 42.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 63.91/56.0667
Info:Filtering - Merging: Merged matrix has 576273 rows and total weight 97968786 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 123.36/34.9441
Info:Filtering - Merging: Total cpu/real time for replay: 18.73/16.1477
Info:Generate Factor Base: Total cpu/real time for makefb: 1.85/1.10156
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11622684
Info:Lattice Sieving: Average J: 1894.37 for 389278 special-q, max bucket fill -bkmult 1.0,1s:1.258590
Info:Lattice Sieving: Total time: 49162.7s
Info:Linear Algebra: Total cpu/real time for bwc: 5076.16/1361.45
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3162.29, WCT time 841.74, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (18176 iterations)
Info:Linear Algebra: Lingen CPU time 104.03, WCT time 27.06
Info:Linear Algebra: Mksol: CPU time 1721.97,  WCT time 459.91, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9216 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 18.61/7.57373
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 109.45/107.453
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 93.8s
Info:Square Root: Total cpu/real time for sqrt: 125.09/41.2608
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 95196.1/26446.6
Info:root: Cleaning up computation data in /tmp/cado.ecd4g9va
7281775712499523666715079159226173317175849562707371 82222082888890919985638051382641158057303914134661733189887126076783843136811313289413

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)

52653158110528473705789689475842126842321054789495263373686368442631794739000021579163160052653158110528473705789689475842126842321054789495263373686368442631794739<164>

222118801714316815380793422005820668767215313651591542581404251396329<69>
237049532521112458858459329310238963772451840242731590810365748162264984932371144836169112047291<96>

Number: n
N=52653158110528473705789689475842126842321054789495263373686368442631794739000021579163160052653158110528473705789689475842126842321054789495263373686368442631794739  ( 164 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sun Nov 13 17:30:05 2022  p69 factor: 222118801714316815380793422005820668767215313651591542581404251396329
Sun Nov 13 17:30:05 2022  p96 factor: 237049532521112458858459329310238963772451840242731590810365748162264984932371144836169112047291
Sun Nov 13 17:30:05 2022  elapsed time 00:10:01 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.297).
Factorization parameters were as follows:
#
# N = 61x10^168-25 = 67(167)5
#
n: 52653158110528473705789689475842126842321054789495263373686368442631794739000021579163160052653158110528473705789689475842126842321054789495263373686368442631794739
m: 1000000000000000000000000000000000
deg: 5
c5: 2440
c0: -1
skew: 0.21
# Murphy_E = 2.782e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1667344 hash collisions in 14737873 relations (13959207 unique)
Msieve: matrix is 587932 x 588157 (202.2 MB)

Sieving start time : 2022/11/13 16:34:41
Sieving end time  : 2022/11/13 17:19:42

Total sieving time: 0hrs 45min 1secs.

Total relation processing time: 0hrs 5min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 39sec.

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

16538084977591229118461036974847143573609737846587097514366314058885995014757006112453367010646512785369305605355942602153514374944955946177287948005067017<155>

4226136672002979911340453472070207787343<40>
3913286829352112318685514438614898572933724748856165641921829141059864746077823018945417087580313722013004871252519<115>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 16538084977591229118461036974847143573609737846587097514366314058885995014757006112453367010646512785369305605355942602153514374944955946177287948005067017 (155 digits)
Using B1=31110000, B2=144290666536, polynomial Dickson(12), sigma=1:1989360437
Step 1 took 74632ms
Step 2 took 24442ms
********** Factor found in step 2: 4226136672002979911340453472070207787343
Found prime factor of 40 digits: 4226136672002979911340453472070207787343
Prime cofactor 3913286829352112318685514438614898572933724748856165641921829141059864746077823018945417087580313722013004871252519 has 115 digits

7027147739974980444276599790938178379352287769610972255221104588181541887871554895624642044605546773396405173857854467034797670670938650112096137621<148>

60203216222063406151377124342632853050811399213004187748105293026790391<71>
116723792862741708387611276816166719523904996539398760662448741139163762840531<78>

Number: n
N=7027147739974980444276599790938178379352287769610972255221104588181541887871554895624642044605546773396405173857854467034797670670938650112096137621  ( 148 digits)
SNFS difficulty: 172 digits.
Divisors found:

Mon Nov 14 21:14:47 2022  p71 factor: 60203216222063406151377124342632853050811399213004187748105293026790391
Mon Nov 14 21:14:47 2022  p78 factor: 116723792862741708387611276816166719523904996539398760662448741139163762840531
Mon Nov 14 21:14:47 2022  elapsed time 00:13:02 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 61x10^172-25 = 67(171)5
#
n: 7027147739974980444276599790938178379352287769610972255221104588181541887871554895624642044605546773396405173857854467034797670670938650112096137621
m: 10000000000000000000000000000000000
deg: 5
c5: 244
c0: -1
skew: 0.33
# Murphy_E = 2.042e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1570748 hash collisions in 13281500 relations (12471086 unique)
Msieve: matrix is 738913 x 739138 (255.1 MB)

Sieving start time : 2022/11/14 20:06:40
Sieving end time  : 2022/11/14 21:01:23

Total sieving time: 0hrs 54min 43secs.

Total relation processing time: 0hrs 8min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 43sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1808738109009126887716250153672421099729202533929526405473871536466059916494040036209477717685680110010229287312959744400302206340027458820492901606701<151>

2616126830245308012922081980507968306479355256890878973673080857217<67>
691380130388986455124088131368642334595527405353574103721082263521162056754307732653<84>

1808738109009126887716250153672421099729202533929526405473871536466059916494040036209477717685680110010229287312959744400302206340027458820492901606701=2616126830245308012922081980507968306479355256890878973673080857217*691380130388986455124088131368642334595527405353574103721082263521162056754307732653

cado polynomial
n: 1808738109009126887716250153672421099729202533929526405473871536466059916494040036209477717685680110010229287312959744400302206340027458820492901606701
skew: 0.21
type: snfs
c0: -1
c5: 2440
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 2440*x^5-1
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5400000
tasks.lim1 = 5400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2616126830245308012922081980507968306479355256890878973673080857217 691380130388986455124088131368642334595527405353574103721082263521162056754307732653
Info:Square Root: Total cpu/real time for sqrt: 440.96/138.973
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 147.71/152.095
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 128.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 60.79/16.954
Info:Square Root: Total cpu/real time for sqrt: 440.96/138.973
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.13/46.8494
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 46.599999999999994s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 84.66/82.2074
Info:Filtering - Merging: Merged matrix has 895087 rows and total weight 152936361 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 214.93/60.568
Info:Filtering - Merging: Total cpu/real time for replay: 33.07/28.5262
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11889684
Info:Lattice Sieving: Average J: 1892.29 for 522448 special-q, max bucket fill -bkmult 1.0,1s:1.236440
Info:Lattice Sieving: Total time: 70983.5s
Info:Linear Algebra: Total cpu/real time for bwc: 12567.8/3395.58
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7945.33, WCT time 2134.82, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (28160 iterations)
Info:Linear Algebra: Lingen CPU time 164.93, WCT time 43.21
Info:Linear Algebra: Mksol: CPU time 4313.78,  WCT time 1163.44, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14080 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 31.99/12.8389
Info:Generate Factor Base: Total cpu/real time for makefb: 2.3/1.34755
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 143141/39400.9
Info:root: Cleaning up computation data in /tmp/cado.35imx4e5
2616126830245308012922081980507968306479355256890878973673080857217 691380130388986455124088131368642334595527405353574103721082263521162056754307732653

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)

4649006140440719803226547321105711933505339918228964062667875197819127709272663542568563672307679533561025523496865940540602455176365335372157036861286806449711<160>

12241841795336898574419995018744922667092022879882077531201412393<65>
379763618756419158694978971096632431791911158360415675516158692914702321315965171882840767480727<96>

Number: n
N=4649006140440719803226547321105711933505339918228964062667875197819127709272663542568563672307679533561025523496865940540602455176365335372157036861286806449711  ( 160 digits)
SNFS difficulty: 174 digits.
Divisors found:

Mon Nov 14 17:16:34 2022  p65 factor: 12241841795336898574419995018744922667092022879882077531201412393
Mon Nov 14 17:16:34 2022  p96 factor: 379763618756419158694978971096632431791911158360415675516158692914702321315965171882840767480727
Mon Nov 14 17:16:34 2022  elapsed time 00:15:16 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 61x10^174-25 = 67(173)5
#
n: 4649006140440719803226547321105711933505339918228964062667875197819127709272663542568563672307679533561025523496865940540602455176365335372157036861286806449711
m: 10000000000000000000000000000000000
deg: 5
c5: 24400
c0: -1
skew: 0.13
# Murphy_E = 1.381e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1670814 hash collisions in 13075793 relations (12116994 unique)
Msieve: matrix is 846652 x 846877 (293.0 MB)

Sieving start time : 2022/11/14 15:51:53
Sieving end time  : 2022/11/14 17:00:59

Total sieving time: 1hrs 9min 6secs.

Total relation processing time: 0hrs 10min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 6sec.

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

7928426951819953261193966997551197777075453344028839688012964989554913698046717407117230749993863587271759189064074599764761207934638215079104939534280416783<157>

248615314417796444663234602306926163063097<42>
31890340184339097120445326392346745183442865929611304417965595244432658882350538788531591275099948538128170465948039<116>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 7928426951819953261193966997551197777075453344028839688012964989554913698046717407117230749993863587271759189064074599764761207934638215079104939534280416783 (157 digits)
Using B1=30900000, B2=144289975846, polynomial Dickson(12), sigma=1:2815568505
Step 1 took 74066ms
Step 2 took 24873ms
********** Factor found in step 2: 248615314417796444663234602306926163063097
Found prime factor of 42 digits: 248615314417796444663234602306926163063097
Prime cofactor 31890340184339097120445326392346745183442865929611304417965595244432658882350538788531591275099948538128170465948039 has 116 digits

131591956307395345281153669936996938193745048028120228357464457170036849864395893907890905428069229576977319564972276119042749251515021281<138>

313791696282987913005786805538271932646905951831<48>
419360862209436192626964842048777835833380482502884695100001869029848860485913761392930951<90>

131591956307395345281153669936996938193745048028120228357464457170036849864395893907890905428069229576977319564972276119042749251515021281=313791696282987913005786805538271932646905951831*419360862209436192626964842048777835833380482502884695100001869029848860485913761392930951

cado polynomial
n: 131591956307395345281153669936996938193745048028120228357464457170036849864395893907890905428069229576977319564972276119042749251515021281
skew: 0.84
type: snfs
c0: -25
c5: 61
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 61*x^5-25
# g(x) = -x+1000000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 313791696282987913005786805538271932646905951831 419360862209436192626964842048777835833380482502884695100001869029848860485913761392930951
Info:Square Root: Total cpu/real time for sqrt: 254.76/49.5384
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: 3.36/0.851371
Info:Generate Free Relations: Total cpu/real time for freerel: 97.93/12.5224
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22431588
Info:Lattice Sieving: Average J: 1894.05 for 882227 special-q, max bucket fill -bkmult 1.0,1s:1.088760
Info:Lattice Sieving: Total time: 160307s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.88/40.7941
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 248.3/74.2328
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 69.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 147.61/58.4834
Info:Filtering - Merging: Merged matrix has 1018479 rows and total weight 174264672 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 208.85/30.8978
Info:Filtering - Merging: Total cpu/real time for replay: 32.01/26.3892
Info:Linear Algebra: Total cpu/real time for bwc: 10561.3/2755.03
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1739.82, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (32000 iterations)
Info:Linear Algebra: Lingen CPU time 103.97, WCT time 28.2
Info:Linear Algebra: Mksol: WCT time 952.12, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16128 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 37.8/10.01
Info:Square Root: Total cpu/real time for sqrt: 254.76/49.5384
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 335715/83471.5
Info:root: Cleaning up computation data in /tmp/cado.petb4v9n
313791696282987913005786805538271932646905951831 419360862209436192626964842048777835833380482502884695100001869029848860485913761392930951

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)

3582235576326649380911881556023301561546404118161508614469089931583704880164677131198937544163165545236074462932597154559811515683511835838475823359963731332919027235120472491<175>

16251067250065737497311495864043037537434899285735666742057<59>
220430789018620227081479777693637311595513394500898888902736431279234264469358101175174353685087719133194653159619763<117>

Number: n
N=3582235576326649380911881556023301561546404118161508614469089931583704880164677131198937544163165545236074462932597154559811515683511835838475823359963731332919027235120472491  ( 175 digits)
SNFS difficulty: 182 digits.
Divisors found:

Wed Nov 16 09:15:33 2022  p59 factor: 16251067250065737497311495864043037537434899285735666742057
Wed Nov 16 09:15:33 2022  p117 factor: 220430789018620227081479777693637311595513394500898888902736431279234264469358101175174353685087719133194653159619763
Wed Nov 16 09:15:33 2022  elapsed time 00:19:31 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 61x10^181-25 = 67(180)5
#
n: 3582235576326649380911881556023301561546404118161508614469089931583704880164677131198937544163165545236074462932597154559811515683511835838475823359963731332919027235120472491
m: 1000000000000000000000000000000000000
deg: 5
c5: 122
c0: -5
skew: 0.53
# Murphy_E = 7.59e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 16600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2475758 hash collisions in 20083296 relations (18357412 unique)
Msieve: matrix is 868479 x 868704 (294.1 MB)

Sieving start time : 2022/11/16 04:49:17
Sieving end time  : 2022/11/16 08:55:28

Total sieving time: 4hrs 6min 11secs.

Total relation processing time: 0hrs 11min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 3sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7600000,7600000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2695209375793926942152411881013133622736963029238603351338215638841943643613789751576807944240094553246954082027150920679104395179551755752173288707735471827329864908153008361776629<181>

5585737103019521140033026222906769919<37>
838999526557144389926874472388008689010591<42>
575109182125252798191719756051523122783563942619350574522687754233019768882871089679165800478100500501<102>

Number: n
N=2695209375793926942152411881013133622736963029238603351338215638841943643613789751576807944240094553246954082027150920679104395179551755752173288707735471827329864908153008361776629  ( 181 digits)
SNFS difficulty: 186 digits.
Divisors found:

Sat Nov 19 08:09:33 2022  found factor: 838999526557144389926874472388008689010591
Sat Nov 19 08:11:08 2022  found factor: 838999526557144389926874472388008689010591
Sat Nov 19 08:12:42 2022  p37 factor: 5585737103019521140033026222906769919
Sat Nov 19 08:12:42 2022  p42 factor: 838999526557144389926874472388008689010591
Sat Nov 19 08:12:42 2022  p102 factor: 575109182125252798191719756051523122783563942619350574522687754233019768882871089679165800478100500501
Sat Nov 19 08:12:42 2022  elapsed time 00:34:56 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 61x10^185-25 = 67(184)5
#
n: 2695209375793926942152411881013133622736963029238603351338215638841943643613789751576807944240094553246954082027150920679104395179551755752173288707735471827329864908153008361776629
m: 10000000000000000000000000000000000000
deg: 5
c5: 61
c0: -25
skew: 0.84
# Murphy_E = 6.012e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 10150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1124766 hash collisions in 12372868 relations (12033583 unique)
Msieve: matrix is 1245200 x 1245425 (436.8 MB)

Sieving start time : 2022/11/19 05:15:27
Sieving end time  : 2022/11/19 07:37:27

Total sieving time: 2hrs 22min 0secs.

Total relation processing time: 0hrs 26min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 44sec.

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

2416300659752376775576081257236170600012482173481932298485830440088097965551195628198307526167825614084071491646142049350487043870629088006263970296558591014443913521791693197821211<181>

1915092365599836877426259864295373715217202700280727485670281587110022085302713327<82>
1261714945532433169324375120296260711438422653586049224321465253868588985160127666607802376154713493<100>

Number: n
N=2416300659752376775576081257236170600012482173481932298485830440088097965551195628198307526167825614084071491646142049350487043870629088006263970296558591014443913521791693197821211  ( 181 digits)
SNFS difficulty: 189 digits.
Divisors found:

Sun Nov 20 17:24:05 2022  p82 factor: 1915092365599836877426259864295373715217202700280727485670281587110022085302713327
Sun Nov 20 17:24:05 2022  p100 factor: 1261714945532433169324375120296260711438422653586049224321465253868588985160127666607802376154713493
Sun Nov 20 17:24:05 2022  elapsed time 00:43:48 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 61x10^189-25 = 67(188)5
#
n: 2416300659752376775576081257236170600012482173481932298485830440088097965551195628198307526167825614084071491646142049350487043870629088006263970296558591014443913521791693197821211
m: 10000000000000000000000000000000000000
deg: 5
c5: 24400
c0: -1
skew: 0.13
# Murphy_E = 3.413e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 17800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1592920 hash collisions in 13331963 relations (12498474 unique)
Msieve: matrix is 1440022 x 1440247 (502.5 MB)

Sieving start time : 2022/11/20 12:27:43
Sieving end time  : 2022/11/20 16:39:50

Total sieving time: 4hrs 12min 7secs.

Total relation processing time: 0hrs 37min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 17sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10000000,10000000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6265726910346949220135272935321006799597658158888049178766067801841764202720917590026811661750382170822718190458068291801065224933176279293236276196323713131397172359618828098498254199<184>

1766285973211115986007158190745849134684994433241024726815484673271117<70>
3547402292368222236579977890430354045803875826415892166019134158421506010946118672361814812687171572641386712200147<115>

Number: n
N=6265726910346949220135272935321006799597658158888049178766067801841764202720917590026811661750382170822718190458068291801065224933176279293236276196323713131397172359618828098498254199  ( 184 digits)
SNFS difficulty: 191 digits.
Divisors found:

Sat Nov 19 05:03:50 2022  p70 factor: 1766285973211115986007158190745849134684994433241024726815484673271117
Sat Nov 19 05:03:50 2022  p115 factor: 3547402292368222236579977890430354045803875826415892166019134158421506010946118672361814812687171572641386712200147
Sat Nov 19 05:03:50 2022  elapsed time 00:40:00 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 61x10^190-25 = 67(189)5
#
n: 6265726910346949220135272935321006799597658158888049178766067801841764202720917590026811661750382170822718190458068291801065224933176279293236276196323713131397172359618828098498254199
m: 100000000000000000000000000000000000000
deg: 5
c5: 61
c0: -25
skew: 0.84
# Murphy_E = 3.747e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 18300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1561502 hash collisions in 13795140 relations (13050674 unique)
Msieve: matrix is 1325599 x 1325824 (462.3 MB)

Sieving start time : 2022/11/19 00:30:15
Sieving end time  : 2022/11/19 04:23:29

Total sieving time: 3hrs 53min 14secs.

Total relation processing time: 0hrs 31min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 44sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

454149450596596837987585607691869300106366472532945376837550498049921622914234373009866690870060443242723575833869269473995523624777348308629<141>

190734987742885610591428658291048829040546930671992694075707221<63>
2381049517819976117404542344816617250975362869856372319712727118953071764918849<79>

454149450596596837987585607691869300106366472532945376837550498049921622914234373009866690870060443242723575833869269473995523624777348308629=190734987742885610591428658291048829040546930671992694075707221*2381049517819976117404542344816617250975362869856372319712727118953071764918849

cado polynomial
n: 454149450596596837987585607691869300106366472532945376837550498049921622914234373009866690870060443242723575833869269473995523624777348308629
skew: 0.13
type: snfs
c0: -1
c5: 24400
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 24400*x^5-1
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12200000
tasks.lim1 = 12200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
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: 190734987742885610591428658291048829040546930671992694075707221 2381049517819976117404542344816617250975362869856372319712727118953071764918849
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2396.79/723.581
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Factor Base: Total cpu/real time for makefb: 5.09/2.45953
Info:Generate Free Relations: Total cpu/real time for freerel: 125.87/33.3263
Info:Square Root: Total cpu/real time for sqrt: 2396.79/723.581
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 121.68/120.57
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 119.49999999999999s
Info:Quadratic Characters: Total cpu/real time for characters: 88.2/37.5892
Info:Filtering - Singleton removal: Total cpu/real time for purge: 427.21/402.13
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 566.07/577.145
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 413.1000000000001s
Info:Filtering - Merging: Merged matrix has 2550536 rows and total weight 436662169 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 762.87/210.062
Info:Filtering - Merging: Total cpu/real time for replay: 144.22/2435.27
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29250293
Info:Lattice Sieving: Average J: 1896.91 for 3420200 special-q, max bucket fill -bkmult 1.0,1s:1.163030
Info:Lattice Sieving: Total time: 685209s
Info:Linear Algebra: Total cpu/real time for bwc: 136572/35677.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 84549.04, WCT time 21765.97, iteration CPU time 0.25, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (79872 iterations)
Info:Linear Algebra: Lingen CPU time 422.27, WCT time 415.88
Info:Linear Algebra: Mksol: CPU time 50405.07,  WCT time 12978.6, iteration CPU time 0.3, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (39936 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.43105e+06/382843
Info:root: Cleaning up computation data in /tmp/cado.504pxyvo
190734987742885610591428658291048829040546930671992694075707221 2381049517819976117404542344816617250975362869856372319712727118953071764918849

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)

227708139590099009203196091910706081469998922032287590681118554517441017193244043284189327360308035666157906325206742469952328698664326395897342519908977463351654359340620252942279<180>

165100030796114262209844824689237691531273017<45>
1379213186648650037703306683147756402960707579396454905989495963544910898689669964619448025815070911422315314763113268520533155987999487<136>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 227708139590099009203196091910706081469998922032287590681118554517441017193244043284189327360308035666157906325206742469952328698664326395897342519908977463351654359340620252942279 (180 digits)
Using B1=26470000, B2=144285831706, polynomial Dickson(12), sigma=1:3217693680
Step 1 took 73218ms
Step 2 took 27847ms
********** Factor found in step 2: 165100030796114262209844824689237691531273017
Found prime factor of 45 digits: 165100030796114262209844824689237691531273017
Prime cofactor 1379213186648650037703306683147756402960707579396454905989495963544910898689669964619448025815070911422315314763113268520533155987999487 has 136 digits

57683215130023640661938534278959810874704491725768321513002364066193853427895981087470449172576832151300236406619385342789598108747044917257683215130023640661938534278959810874704491725768321513<194>

298702984633925973191387833013143778819229930269824489124440534082385864047<75>
193112282425691298383621224526548863004270894630459205198136513453630044042611080615219356915297169691266504438636669479<120>

Number: n
N=57683215130023640661938534278959810874704491725768321513002364066193853427895981087470449172576832151300236406619385342789598108747044917257683215130023640661938534278959810874704491725768321513  ( 194 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sat Dec 17 08:42:57 2022  p75 factor: 298702984633925973191387833013143778819229930269824489124440534082385864047
Sat Dec 17 08:42:57 2022  p120 factor: 193112282425691298383621224526548863004270894630459205198136513453630044042611080615219356915297169691266504438636669479
Sat Dec 17 08:42:57 2022  elapsed time 01:19:13 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.355).
Factorization parameters were as follows:
#
# N = 61x10^196-25 = 67(195)5
#
n: 57683215130023640661938534278959810874704491725768321513002364066193853427895981087470449172576832151300236406619385342789598108747044917257683215130023640661938534278959810874704491725768321513
m: 1000000000000000000000000000000000000000
deg: 5
c5: 122
c0: -5
skew: 0.53
# Murphy_E = 1.835e-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, 26770241)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2237498 hash collisions in 14820033 relations (13298380 unique)
Msieve: matrix is 1815543 x 1815768 (631.1 MB)

Sieving start time : 2022/12/16 22:46:45
Sieving end time  : 2022/12/17 07:22:28

Total sieving time: 8hrs 35min 43secs.

Total relation processing time: 1hrs 3min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 55sec.

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) ----------

1000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041<196>

11066750956342047081652911349210833563234272635983209099<56>
90397805828162588204777393725890462973019610902274815998045325502231886021940772594104154879169718035556483486399214361318388803866628116859<140>

Number: n
N=1000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041  ( 196 digits)
SNFS difficulty: 198 digits.
Divisors found:

Thu Feb  9 02:14:29 2023  prp56 factor: 11066750956342047081652911349210833563234272635983209099
Thu Feb  9 02:14:29 2023  prp140 factor: 90397805828162588204777393725890462973019610902274815998045325502231886021940772594104154879169718035556483486399214361318388803866628116859
Thu Feb  9 02:14:29 2023  elapsed time 03:39:48 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.085).
Factorization parameters were as follows:
#
# N = 61x10^198-25 = 67(197)5
#
n: 1000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041000410004100041
m: 1000000000000000000000000000000000000000
deg: 5
c5: 2440
c0: -1
skew: 0.21
# Murphy_E = 1.683e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 68610649)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1466102 hash collisions in 13500837 relations (12844112 unique)
Msieve: matrix is 2561730 x 2561955 (727.8 MB)

Sieving start time: 2023/02/07 16:37:21
Sieving end time  : 2023/02/08 22:34:22

Total sieving time: 29hrs 57min 1secs.

Total relation processing time: 3hrs 24min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 40sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14000000,14000000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

596390571064626045476004542134161038997223210994432372413222698884902345798244212597660455616411222571048102200056509463502139710943705718808759875224906369668895921<165>

2427397865685986713548848052965591220780378615703<49>
245691313935503139483024324978122997361694106155620125521455679780603092289495190558290253816513447589275109115062007<117>

Number: n
N=596390571064626045476004542134161038997223210994432372413222698884902345798244212597660455616411222571048102200056509463502139710943705718808759875224906369668895921  ( 165 digits)
SNFS difficulty: 200 digits.
Divisors found:

Thu May 18 07:37:53 2023  prp49 factor: 2427397865685986713548848052965591220780378615703
Thu May 18 07:37:53 2023  prp117 factor: 245691313935503139483024324978122997361694106155620125521455679780603092289495190558290253816513447589275109115062007
Thu May 18 07:37:53 2023  elapsed time 02:41:04 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.085).
Factorization parameters were as follows:
#
# N = 61x10^199-25 = 67(198)5
#
n: 596390571064626045476004542134161038997223210994432372413222698884902345798244212597660455616411222571048102200056509463502139710943705718808759875224906369668895921
m: 1000000000000000000000000000000000
deg: 6
c6: 122
c0: -5
skew: 0.59
# Murphy_E = 1.345e-11
type: snfs
lss: 1
rlim: 15100000
alim: 15100000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15100000/15100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 40350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1885234 hash collisions in 13997015 relations (13108056 unique)
Msieve: matrix is 2261429 x 2261654 (643.3 MB)

Sieving start time: 2023/05/17 13:31:55
Sieving end time  : 2023/05/18 04:56:33

Total sieving time: 15hrs 24min 38secs.

Total relation processing time: 2hrs 33min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 50sec.

Prototype def-par.txt line would be:
snfs,200,6,0,0,0,0,0,0,0,0,15100000,15100000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

251171336427628145610398988831363091637705208231893659271851443385453766655898787115633318324580363117398992018073688727938681743783065189099090410136743622667355379106071524937651<180>

46055333730697278130786461538442658451769250889419804897693559067248011747628279<80>
5453686165783113727418988239167533634561520570775236832825771673181086953679236048250195501275461669<100>

Number: n
N=251171336427628145610398988831363091637705208231893659271851443385453766655898787115633318324580363117398992018073688727938681743783065189099090410136743622667355379106071524937651  ( 180 digits)
SNFS difficulty: 202 digits.
Divisors found:

Mon Jul 24 04:10:23 2023  prp80 factor: 46055333730697278130786461538442658451769250889419804897693559067248011747628279
Mon Jul 24 04:10:23 2023  prp100 factor: 5453686165783113727418988239167533634561520570775236832825771673181086953679236048250195501275461669
Mon Jul 24 04:10:23 2023  elapsed time 03:13:55 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.087).
Factorization parameters were as follows:
#
# N = 61x10^201-25 = 67(200)5
#
n: 251171336427628145610398988831363091637705208231893659271851443385453766655898787115633318324580363117398992018073688727938681743783065189099090410136743622667355379106071524937651
m: 10000000000000000000000000000000000000000
deg: 5
c5: 122
c0: -5
skew: 0.53
# Murphy_E = 1.133e-11
type: snfs
lss: 1
rlim: 16300000
alim: 16300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16300000/16300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 33750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2855694 hash collisions in 16445406 relations (14262932 unique)
Msieve: matrix is 2382914 x 2383139 (673.4 MB)

Sieving start time: 2023/07/23 12:18:32
Sieving end time  : 2023/07/24 00:56:04

Total sieving time: 12hrs 37min 32secs.

Total relation processing time: 2hrs 59min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 17sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16300000,16300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

15911409664354237169009185706832228217614573275897733057125373113865186277105332180276433733874465257659886649812815270973208755573734246770744220206373463889091082789904298973177<179>

39277286551653226787195437041027936635180689328265351561536661234517<68>
405104605264146165513825842685709171172032271555320725545577492698047523875181597164296577049924780594360936981<111>

Number: n
N=15911409664354237169009185706832228217614573275897733057125373113865186277105332180276433733874465257659886649812815270973208755573734246770744220206373463889091082789904298973177  ( 179 digits)
SNFS difficulty: 203 digits.
Divisors found:

Mon Jul 24 19:54:59 2023  prp68 factor: 39277286551653226787195437041027936635180689328265351561536661234517
Mon Jul 24 19:54:59 2023  prp111 factor: 405104605264146165513825842685709171172032271555320725545577492698047523875181597164296577049924780594360936981
Mon Jul 24 19:54:59 2023  elapsed time 02:59:54 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 61x10^203-25 = 67(202)5
#
n: 15911409664354237169009185706832228217614573275897733057125373113865186277105332180276433733874465257659886649812815270973208755573734246770744220206373463889091082789904298973177
m: 10000000000000000000000000000000000000000
deg: 5
c5: 2440
c0: -1
skew: 0.21
# Murphy_E = 1.039e-11
type: snfs
lss: 1
rlim: 17200000
alim: 17200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17200000/17200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2904684 hash collisions in 16917436 relations (14724712 unique)
Msieve: matrix is 2304100 x 2304325 (650.3 MB)

Sieving start time: 2023/07/24 04:14:01
Sieving end time  : 2023/07/24 16:54:43

Total sieving time: 12hrs 40min 42secs.

Total relation processing time: 2hrs 40min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 52sec.

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

738906817856090248702539322452518803111689955960466533245584711157483562615248809825204610784667537619502393677660843793802485893721768608842032810168619427113<159>

20836114693277065646109521162957496733<38>
84321027319454690987574608129276588347681097<44>
420568794219676814702532925781244663839955329183649256278457155315321417217813<78>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 738906817856090248702539322452518803111689955960466533245584711157483562615248809825204610784667537619502393677660843793802485893721768608842032810168619427113 (159 digits)
Using B1=50840000, B2=288592384096, polynomial Dickson(12), sigma=1:1715283628
Step 1 took 119172ms
Step 2 took 39966ms
********** Factor found in step 2: 20836114693277065646109521162957496733
Found prime factor of 38 digits: 20836114693277065646109521162957496733
Composite cofactor 35462792787107486820269986687074120462255670483257494363130911349583999021679096968935586225335062261077648707927911780861 has 122 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 35462792787107486820269986687074120462255670483257494363130911349583999021679096968935586225335062261077648707927911780861 (122 digits)
Using B1=60750000, B2=388130449990, polynomial Dickson(30), sigma=1:3108612627
Step 1 took 94223ms
Step 2 took 44409ms
********** Factor found in step 2: 84321027319454690987574608129276588347681097
Found prime factor of 44 digits: 84321027319454690987574608129276588347681097
Prime cofactor 420568794219676814702532925781244663839955329183649256278457155315321417217813 has 78 digits

201402244710390780724201501212368809385325299376395686786094026714182624950680678794804025026997258260775969018287625420332576403151071072624216513362800694604153235751283361744046853855906333<192>

20210509691212743397095404769671129610306314913450619<53>
9965223430162068406929525203177929470842595305370977447732012312202171085633621892857418820018636947196761817871517241363376243354607208007<139>

Number: n
N=201402244710390780724201501212368809385325299376395686786094026714182624950680678794804025026997258260775969018287625420332576403151071072624216513362800694604153235751283361744046853855906333  ( 192 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu Apr 11 21:42:20 2024  prp53 factor: 20210509691212743397095404769671129610306314913450619
Thu Apr 11 21:42:20 2024  prp139 factor: 9965223430162068406929525203177929470842595305370977447732012312202171085633621892857418820018636947196761817871517241363376243354607208007
Thu Apr 11 21:42:20 2024  elapsed time 02:05:11 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.937).
Factorization parameters were as follows:
#
# N = 61x10^205-25 = 67(204)5
#
n: 201402244710390780724201501212368809385325299376395686786094026714182624950680678794804025026997258260775969018287625420332576403151071072624216513362800694604153235751283361744046853855906333
m: 100000000000000000000000000000000000000000
deg: 5
c5: 61
c0: -25
skew: 0.84
# Murphy_E = 8.845e-12
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19600000/19600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4165609 hash collisions in 21798230 relations (17974610 unique)
Msieve: matrix is 2020574 x 2020799 (571.2 MB)

Sieving start time: 2024/04/11 06:04:16
Sieving end time  : 2024/04/11 19:36:42

Total sieving time: 13hrs 32min 26secs.

Total relation processing time: 1hrs 56min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 29sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

602120676209613990193295450080666658029246246690201307227652873975530998179165784816920206930764672300750710622914408673370941736567982266927<141>

8525363951856037976281420780947858539771<40>
70626976116195912125454180726825066005445564443074739010743506693260842484398793424699352856980697437<101>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2226893281
Step 1 took 20687ms
Step 2 took 9047ms
********** Factor found in step 2: 8525363951856037976281420780947858539771
Found prime factor of 40 digits: 8525363951856037976281420780947858539771
Prime cofactor 70626976116195912125454180726825066005445564443074739010743506693260842484398793424699352856980697437 has 101 digits

GMP-ECM

94199114144861683919908619737017544390705301443037614106845872364545883429235965963027319965776984923059783065131590306391039972369566621510543047222886402939663867764623427779<176>

43306055186987161013376397982228249220657913<44>

2175194986893360493588960191770546332916632082281920986290860637523209391589246535525696705909289496288259656956301224137978341117083<133>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:737109245
Step 1 took 4172ms
********** Factor found in step 2: 43306055186987161013376397982228249220657913
Found prime factor of 44 digits: 43306055186987161013376397982228249220657913
Composite cofactor 2175194986893360493588960191770546332916632082281920986290860637523209391589246535525696705909289496288259656956301224137978341117083 has 133 digits
 

GMP-ECM

2175194986893360493588960191770546332916632082281920986290860637523209391589246535525696705909289496288259656956301224137978341117083<133>

977079559924427287578870558229208848572610707712711<51>
2226220950790948947175783653715156309613891129744742121901732168201431473948269453<82>

FACTORS
977079559924427287578870558229208848572610707712711
2226220950790948947175783653715156309613891129744742121901732168201431473948269453
POLYNOMIAL
n: 2175194986893360493588960191770546332916632082281920986290860637523209391589246535525696705909289496288259656956301224137978341117083
skew: 232600.707
c0: -9699341979721257746140914384960
c1: 553679403722176234815893318
c2: 1666072775440252867503
c3: -14424273080669393
c4: -29924535540
c5: 50400
Y0: -55366725785837026609407327
Y1: 425866696382726987
# MurphyE (Bf=1.074e+09,Bg=5.369e+08,area=5.033e+13) = 2.145e-06
# f(x) = 50400*x^5-29924535540*x^4-14424273080669393*x^3+1666072775440252867503*x^2+553679403722176234815893318*x-9699341979721257746140914384960
# g(x) = 425866696382726987*x-55366725785837026609407327

cado-nfs

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

3751808651104470822221626315649978438407462217004688831512871395494712722279583157621315326346768716770859942743526496391939641009433975853606549218603322509771190192071942084554709<181>

3276185001495159577540416975809051153853286580371842722437496447762905987617059997413673560870183231873756837380777281991244381029609039822801908840347783886527144420612057027201<178>

56499977595492395860186580659148015586287<41>
57985598241308607177615896637090895264266231209699401437206900852533782321554259151971695399176857792617518567946911150874763249123399823<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1357001106
Step 1 took 7516ms
Step 2 took 3531ms
********** Factor found in step 2: 56499977595492395860186580659148015586287
Found prime factor of 41 digits: 56499977595492395860186580659148015586287
Prime cofactor 57985598241308607177615896637090895264266231209699401437206900852533782321554259151971695399176857792617518567946911150874763249123399823 has 137 digits

GMP-ECM

517912716962134976942083570032330092612833486423251893590768950422573792889036236746110797731343017027936234328595276146111366227439681116085863992989205334456696883178308775338745932138159<189>

271111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<219>

457159658613330421724893784522878109109844672423126265780411021446836295055009868960011641164757804915311416428616700541969236939974494218407347129376427022212719646219483581964251301056216482486724701236758707<210>

44593717688670648579534467418663467726463054868810337241564893468509366875651871172817058988294726220428115847433036745838443396061408566343940884069298495148884996755986038034223427<182>

299678907625619164353421420236489385572138770364715640895293144093233487007069747408378180473765039606245517433469366828873576965100445991483310827549062660550125886200767344932795763023847364847913948731<204>

20320674629201707491007218273169757726931317<44>

14747488117100567622432467773405226607271000492696157735884537265761222548794917216449852513034035451040258301814441919910773642839164150521650047490700809071343<161>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1455461948
Step 1 took 7462ms
Step 2 took 3391ms
********** Factor found in step 2: 20320674629201707491007218273169757726931317
Found prime factor of 44 digits: 20320674629201707491007218273169757726931317
Composite cofactor 14747488117100567622432467773405226607271000492696157735884537265761222548794917216449852513034035451040258301814441919910773642839164150521650047490700809071343 has 161 digits

4021823336465081013367617728988445499348926140203398770376963523380968863834907448614613723647991560764146433928365392539847368507804644876295966638645766371623069442384084128632415236776607493118396545187822446389424582571<223>

344109760456749543780513586607027215839381750945453095942180576157946348459243801942838602303837213392367884330884195717176666813690382393619931784135199114901069447287104854430726933339893080773489507751197799219400801<219>

495825738568745925231535856956217956901190502093801151107710039893969462435780208566611248851101228598526789335037211451931282747198913548934884612654686148457748345169958852943636632498594878993821<198>

18878557468671562164807858874822887976042258033138998276618705259736245245613842152849371039132830196329705415001830818413226401426991872195434262600830756361379684289514881595366506191527<188>

5742670006388728804317557797719156450729452629949602398420337306725504862783115360282976293455231984885167388645728607185262102516641949959814669729495143738509353204212168611<175>

2017013356994074215530255909183883826788683643990731907362178244712658627248827397757777290499834066807982118753584388645602761913445471282552814236398994132765649961567648402821672419960343358169354350014726895881818657587<223>

2323413732764926355404391571108414901080118224306428472639030561282931811444235147467284965972062056294646506828946012710150548071490890696118341301864730935685336413145022018190432160958603190603142096210739<208>

136490893768359769986084859116268319<36>

17022481636819068070319820730824923362967702671198952716381905906957351226660365118947133099563064135570026195425952167971630287516239661524864780640959688513489287153955181<173>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:114736648
Step 1 took 10238ms
Step 2 took 4987ms
********** Factor found in step 2: 136490893768359769986084859116268319
Found prime factor of 36 digits: 136490893768359769986084859116268319
Composite cofactor 17022481636819068070319820730824923362967702671198952716381905906957351226660365118947133099563064135570026195425952167971630287516239661524864780640959688513489287153955181 has 173 digits

21997066958805514752242471799350645996847710245543806420640867591749683234981043320085613667833006105315494327475220879291952762551669717360283551144174338574701459283019588807909286049872162237507499052630498268193777703255797<227>

83676261503014798536239041433362094176648565710045633792937976481770607225981337179745933662555450608074654260776837063071063693370090891824645539132256994251592174820053888114679491611101055943479<197>

635012795102701588014996824970316061<36>
131770985007446517863744691672491936908109500169560310820344907659757323790060474663780849280582427916602735618995913648840126521029107513707146506929055928951139<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2749832345
Step 1 took 8610ms
Step 2 took 3797ms
********** Factor found in step 2: 635012795102701588014996824970316061
Found prime factor of 36 digits: 635012795102701588014996824970316061
Prime cofactor 131770985007446517863744691672491936908109500169560310820344907659757323790060474663780849280582427916602735618995913648840126521029107513707146506929055928951139 has 162 digits
 

GMP-ECM

15474434625493863230255700765598411709221430610395066652018782080985969441957436074689261462439811252813598930479766811704307389401003456376175795253828668309879733232513693664643421<182>

97608317552841546407253814088807101695776253362907164391929975666481683176110653952352292515962753003746649791423144736746149171664248110178403473621583003873935118864599676754364693730682137149267668846771486642394151<218>

4121087371958174690945983247548638119254316158360127978409421873939879417906957621795661727603156029477378218453748722698131043561182686173776468114809392726859084523244907561075872294546535475376577273001<205>

1804045303514071293783073945082093169040544340413410369047501940327305918719851691843731041157261198247756313163881577012495987393520496529965648679326126317962044937961835435362203531419269792037894166749487639<211>

925457566704268089728122242057372842269927606961194386433916530043319087246929459850887206399708904298238830131392811780751244589925017592153499271589382852565735989<165>

83083449665435712431471734299754831874813731<44>
11138891926502131669076563824670413338687736282735534071537120995604053516257517692610232580904757229427529392106340242119<122>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:501915319
Step 1 took 23563ms
Step 2 took 10375ms
********** Factor found in step 2: 83083449665435712431471734299754831874813731
Found prime factor of 44 digits: 83083449665435712431471734299754831874813731
Prime cofactor 11138891926502131669076563824670413338687736282735534071537120995604053516257517692610232580904757229427529392106340242119 has 122 digits
 

GMP-ECM

8404420819339054527693954911239735391224615542396513905708054077440421372017029314144664544663900238431559415375046143202030642026217535644086665970280517416060557915965112660370994834117224274904390217089346807251<214>

160918325253448831342289800067610197358577211587<48>

52227866565861674132360395187455737733410882382863941415720409835934351818415931433803640970965731418231148995174658040426258124637069351444456989672482093632767012273<167>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3046449945
Step 1 took 6453ms
Step 2 took 3313ms
********** Factor found in step 1: 160918325253448831342289800067610197358577211587
Found prime factor of 48 digits: 160918325253448831342289800067610197358577211587
Composite cofactor 52227866565861674132360395187455737733410882382863941415720409835934351818415931433803640970965731418231148995174658040426258124637069351444456989672482093632767012273 has 167 digits

GMP-ECM

52227866565861674132360395187455737733410882382863941415720409835934351818415931433803640970965731418231148995174658040426258124637069351444456989672482093632767012273<167>

277527514196676483134246725146508691286091<42>
188189869091138662806675675731669305668693738939719396880693394622300044141015381317920256510900193266681460331221813606694003<126>

Resuming ECM residue saved by @24f919d46710 with GMP-ECM 7.0.5-dev on Sun Sep 15 18:18:09 2024 
Input number is 52227866565861674132360395187455737733410882382863941415720409835934351818415931433803640970965731418231148995174658040426258124637069351444456989672482093632767012273 (167 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:463966660
Step 1 took 0ms
Step 2 took 7264ms
********** Factor found in step 2: 277527514196676483134246725146508691286091
Found prime factor of 42 digits: 277527514196676483134246725146508691286091
Prime cofactor 188189869091138662806675675731669305668693738939719396880693394622300044141015381317920256510900193266681460331221813606694003 has 126 digits

25250598327723404396653660595618419849182948032566287843540781428021099437998559188457501120438219911139500017979911918863800494299802835837288637221951598187572854473429263654861682389682871421176166890449566161224311<218>

1437050482203282797840030004209427394830985656783820580504676438627554557312717880228049716873538158742117145749415627030515850054214062893777918400781391815646356160960741557415507785486958816369845937011529499343669642081501<226>

161563074573712790862713530139801098897484699<45>
8894671545431822878680642442481605380803494668751403480394694847187883978690223715317852218550175945870252896034629070738894323816226691901830375902091446929487654489594947965293799<181>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1521578596
Step 1 took 9500ms
Step 2 took 4421ms
********** Factor found in step 2: 161563074573712790862713530139801098897484699
Found prime factor of 45 digits: 161563074573712790862713530139801098897484699
Prime cofactor 8894671545431822878680642442481605380803494668751403480394694847187883978690223715317852218550175945870252896034629070738894323816226691901830375902091446929487654489594947965293799 has 181 digits
 

GMP-ECM

100115246091129170408215368113922346978621211468113098818613848669875518674853522380958023787317566545319811152605916608828211323623532582492017903397766884497442379611519771121238806309378148881334830612507266144166053695713<225>

78693544075037924420282088390670255955649296932347763131151045576822369682542804165352677098055147817193514242766671161965312506756857212056835582371349138035864133795133258706449277230973769844359320951040133737785834195745470619829519<236>

123793500512045333957159165550250274883893316617627412933878388636850088444649115487817360156862293911455531614950413429200396383946842107941231665680775105251400698583429520576293461921<186>

553104588713488732955560324426365598773088090853007521827142234873662085991688550437508381086549611595694932154775987730995690063745408992439755693480990120552466570326032222836390346315760990938184630015775348027881390237627078233783296673<240>

20998051289427359164280433173234208266617116303046749264861954395203663657556225270898854126561974136999869022033150482195046329781047203672049036196386038036173996080408925522055777239049389422760690560464638897<212>

76473233384931741460394184824948669552558427645930433099904125412649133207235655191432476050626313521786579223134449907782822922824771390493861151206051326644772693660654259065179294004824975114057067200920561304509905506616684760836363381153<242>

20895717585119422092550105058873538837206369670105710403912628477252460995147095490209614490017009348086242868356467454478823700571430163338907438686037992410289595637843454606169768525762573328709902114020743223590268541<221>

238887879658235630034759524712734552766941775720089465605171271034452380614141092684261708977615988507625959538338334331479051139104107439688715625181361317219071882108823918948533780198152923567825710584340732819171899169431<225>

29056424185879698663119868920265917<35>

8221516802274862325595581148911502476329503235885301394711819893372477228295564637204565850943187559680348374012296990011217067462707339497593028404155883244780774164737065205993920381955043<190>

Resuming ECM residue saved by @4021c55ee59d with GMP-ECM 7.0.5-dev on Thu Nov 24 21:34:32 2022 
Input number is 238887879658235630034759524712734552766941775720089465605171271034452380614141092684261708977615988507625959538338334331479051139104107439688715625181361317219071882108823918948533780198152923567825710584340732819171899169431 (225 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1369455631
Step 1 took 0ms
Step 2 took 4000ms
********** Factor found in step 2: 29056424185879698663119868920265917
Found prime factor of 35 digits: 29056424185879698663119868920265917
Composite cofactor 8221516802274862325595581148911502476329503235885301394711819893372477228295564637204565850943187559680348374012296990011217067462707339497593028404155883244780774164737065205993920381955043 has 190 digits

4659990726161862385020690229535785348705818458619284471537322405093166924687574209393281540967488671052272403995062511108114329139112288768058420721137751496656459747351115962540957612405141057537<196>

357035241172623584347711500997892300013433005884459589047149900745469828645368642977817784037977580908120286997153972683629248602056530467069861279062719392878796154450401435480962239957825903431<195>

4916123113695772929204211814185145801027<40>

72625366150404789630156674272826479459704090504169017484149901767411420558900815597731177574261552841164449042040718745325622522379687193109331150263387053<155>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4172599247
Step 1 took 17849ms
Step 2 took 7026ms
********** Factor found in step 2: 4916123113695772929204211814185145801027
Found prime factor of 40 digits: 4916123113695772929204211814185145801027
Composite cofactor 72625366150404789630156674272826479459704090504169017484149901767411420558900815597731177574261552841164449042040718745325622522379687193109331150263387053 has 155 digits

89960057179242008954392730198712045920616921197954664978886036296709600872792630721675605396110386832757586517956758072552958093893338457529359495672865007686912732455670851892317112981039342652557575199769645479606999<218>

3834571146401343107810886291723051293021822903560122818179305324688285061888570720744290150471336529831817100614487087087117184209727410646329760206621432705935748865947075191643436012997869807861126771696731223302655576936282264322469284919<241>

1012795515056979772787820978694150747495761196746960119390834792299768898700235813161269729094263069395502929712794810653540344143343636868059614124561691065126256748890906197006250238805268228616079<199>

120141143240630586655429255938592928144670008048908028761686561660495443698658020263928194446139790907429901289271962281655907798625399615177504326576524149982840470764850262717425015431837901628019194835745877024834751014671972090771243894892033<246>

64637342544415092459725756222365984067880593198398359627635752992543304523545917108267520978527546878111211010087257674593451103045095726700734388218890254886589661397027534449907122437189365132934835712867431157734221638091<224>

2728405531320165279369271445798114295743082869850076014211994645302945394897767204404439304846654920089539913810277842095135780517684584949472661292430594296404334726873967825341966496383357264052858268328243324166352932003161991523420720021429104338409<253>

311300914289496686598357098172074623722703499113127999625360066569312179368087995463123950295788923691910084726276098509075342221926966063252826807470836184978885346318931506735515114905421697444613608295663221148214037495776911253055831043149600003516271409241787<264>

562078494129627255329627966750950428257813711385209452437522155415905649993959555401736405956440991109063988941864090833248315588278428500587939606381002953222066985880839943935920099469047696169695034751593658138818963678527092179152648831290119806589691<255>

710800583184858189826859380415058234767<39>
790768194943148039370396186790146336683955975362685987062470050847608509384118689550513289369924727395864274368666421982645659977237585812896285452012054023852594267275896197010841262014324289761469182701482468425173<216>

Resuming ECM residue saved by @eb41d547015e with GMP-ECM 7.0.5-dev on Tue Nov 29 14:38:08 2022 
Input number is 562078494129627255329627966750950428257813711385209452437522155415905649993959555401736405956440991109063988941864090833248315588278428500587939606381002953222066985880839943935920099469047696169695034751593658138818963678527092179152648831290119806589691 (255 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1585651264
Step 1 took 0ms
Step 2 took 6584ms
********** Factor found in step 2: 710800583184858189826859380415058234767
Found prime factor of 39 digits: 710800583184858189826859380415058234767
Prime cofactor 790768194943148039370396186790146336683955975362685987062470050847608509384118689550513289369924727395864274368666421982645659977237585812896285452012054023852594267275896197010841262014324289761469182701482468425173 has 216 digits

207542195915568240188707799022561994891157791640767216356260213879627780296659080096745183840741478189474035740483531288850454588388783699101176486703635762823571512196521744669096553570597042582967773974280481709860311<219>

210934952585597574515152706852641688434287712868127975483546531939388257972424325814406357670253419750528100912562651264044844052228545598498542315523660934486167315366916898432537211470375726786122656420092512141803<216>

1526364763540689413562701023982729552850852391731775177846049306540017452407941757043024440136542979101236531301527069788542660459008082061303291455519795673472416923091034365490068367069787586491725481363668228778721370235054751482661151860761185578377953075679491<265>

926352323466458267564211914240923121187758226936160454005854163164147427484224666645914163571335597686471301563734817001007284240747923856338842325795172154252909162527334198111249792134828973905093978924000123407090305235897681563133970137835103167<249>

898348227397250443926827719879559631872122529470794765856461331442785822226318019850737624027428887165789272767728559891536365330062167122902779091960775952749518209166022157597123364465370869737755025396972361507974357219763986696538227116907137813047<252>

291814890716839642396129767505972233662685805100895144588327155251779670925532436677182375572678856274704256036727031382690811005268058196672274213321664934624103647267768306721773972528272797157604792124291140634859540396319263768617875915620161991<249>

138352318184043531764227823879412865355440764771348963353542215808528961739280323533680590232307155384629253650439884677550913643444659967682171558080583943705211343530475396969193446112591347035385702144431609565857039068390603507112923472099791027183566089419487<264>

47396736083067849611463163507510909<35>
2919026279395405957395492114817977302321178095612848647888911831264095950230157023387885165727751711355596510128281620891043381945271507864314854042391006369775525023180981187725667318722054021240789590491834163034449899541045643<229>

Resuming ECM residue saved by @eb41d547015e with GMP-ECM 7.0.5-dev on Tue Nov 29 15:27:12 2022 
Input number is 138352318184043531764227823879412865355440764771348963353542215808528961739280323533680590232307155384629253650439884677550913643444659967682171558080583943705211343530475396969193446112591347035385702144431609565857039068390603507112923472099791027183566089419487 (264 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1008191879
Step 1 took 0ms
Step 2 took 5816ms
********** Factor found in step 2: 47396736083067849611463163507510909
Found prime factor of 35 digits: 47396736083067849611463163507510909
Prime cofactor 2919026279395405957395492114817977302321178095612848647888911831264095950230157023387885165727751711355596510128281620891043381945271507864314854042391006369775525023180981187725667318722054021240789590491834163034449899541045643 has 229 digits

29594780834476774520357630979916749527042103698648274751836143160771615741102567910079910646422701571585572267062912548597006040400725144803503519549155757092848507913428740584391940912791926954631140749736282253970798297609511133112063788647<242>

297560107242272401514808750076415935532519842292704138486581221476996348228949619662878227722440317317464218668444788306855587432413749065729860620053092942620229646085923068763532254716237151273776831526880678261630390144483395428335048773449128214922172794195735962931513054743<279>

5297229997798411279453515738255804959937381700963814153709332977147592725369954279761698825889432696008120212454613456310212307100973689246276204454262883<154>

71696574043906148446924731637692136292018251143983<50>
73884004479132422853837838816152032444932967248562754472411280800825365267429317496561031071358374828301<104>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1723737845
Step 1 took 83313ms
Step 2 took 27984ms
********** Factor found in step 2: 71696574043906148446924731637692136292018251143983
Found prime factor of 50 digits: 71696574043906148446924731637692136292018251143983
Prime cofactor 73884004479132422853837838816152032444932967248562754472411280800825365267429317496561031071358374828301 has 104 digits
 

GMP-ECM

15878141560188537097564174115002505566265004375194770225831896108052120310221420838310097358053440521714002264449186341622716005177470995475494617636653929787913629570610564531078927882934705849086012586254504400431523029516701646841560375027<242>

70282120164988696798139768050299686470650043127800631961809703284751241531472712036521964498663488397567258523198771531936803530414232720500164167567688007608690275469475296994992786640214008393672483056054010455270011143891215574637642287256336994278637838022983180807<269>

27745313553993132285761636743392569597581262840550005608348506310794195294789387729787097055280476435767146160636879114814043077308872070732332313862642318185447831878663114292713796707200824831389103734701150435957430616545711513788083867033332867915709053246108439965611013<275>

21102172387650172189685239376070278677<38>

1314808401917462756251457102498207542541680297208094504403925521610582470180032923059910041264440890904304357192684152669016285986053617543470742721578247984299316753710512454886952806611142437204153536348806519927064925087901880175249969<238>

Resuming ECM residue saved by @eb41d547015e with GMP-ECM 7.0.5-dev on Tue Nov 29 15:45:00 2022 
Input number is 27745313553993132285761636743392569597581262840550005608348506310794195294789387729787097055280476435767146160636879114814043077308872070732332313862642318185447831878663114292713796707200824831389103734701150435957430616545711513788083867033332867915709053246108439965611013 (275 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:588668905
Step 1 took 0ms
Step 2 took 8636ms
********** Factor found in step 2: 21102172387650172189685239376070278677
Found prime factor of 38 digits: 21102172387650172189685239376070278677
Composite cofactor 1314808401917462756251457102498207542541680297208094504403925521610582470180032923059910041264440890904304357192684152669016285986053617543470742721578247984299316753710512454886952806611142437204153536348806519927064925087901880175249969 has 238 digits

205718767208709464774197998383778475288655100738877612307899316844568347959869815209531061995781273642582615098964729132273176807027591588982059715895446680765323956892445947817971704453539811294747734202134322351134140439516742629569717168730437<246>

1897036921322794965665900563126186266438181<43>

108442152546647711695309961219427579268357779069324719355826048952472461177315850272496183988742955332383366694293845401887875699217580195960715747532220607991416208686545093456368903390769105744691900577<204>

Resuming ECM residue saved by @f020e58516e4 with GMP-ECM 7.0.5-dev on Fri Nov 25 11:48:24 2022 
Input number is 205718767208709464774197998383778475288655100738877612307899316844568347959869815209531061995781273642582615098964729132273176807027591588982059715895446680765323956892445947817971704453539811294747734202134322351134140439516742629569717168730437 (246 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4032760322
Step 1 took 0ms
Step 2 took 6187ms
********** Factor found in step 2: 1897036921322794965665900563126186266438181
Found prime factor of 43 digits: 1897036921322794965665900563126186266438181
Composite cofactor 108442152546647711695309961219427579268357779069324719355826048952472461177315850272496183988742955332383366694293845401887875699217580195960715747532220607991416208686545093456368903390769105744691900577 has 204 digits

4740296050448126867211883193775311354708855050574966012260471349993541068944959554733236227784687992013281436192047505169572557589940432423461410517379743260360833540744986165749159304477145361136177447110105075932396368539526436654132828995179091949785047046645225606089<271>

3683723907912463991773250155412002908397568025321191003004816533599212511861494849069655378398226604470454198424555406482219537798333797922388031823335323251804480836189884678644023291049317712642067563628160574837308149514202167323055218693844436579561286010137827997<268>

3142596095813858866479559036367925245919673<43>

1172191333407249614070834999251713092735038408412607241081506253550804319433399053289142833157141828647910006040532849185452841215282427220163396953219642232864072128269589740528276294498825469286813035569414259470497232822789<226>

Resuming ECM residue saved by @eb41d547015e with GMP-ECM 7.0.5-dev on Tue Nov 29 15:09:22 2022 
Input number is 3683723907912463991773250155412002908397568025321191003004816533599212511861494849069655378398226604470454198424555406482219537798333797922388031823335323251804480836189884678644023291049317712642067563628160574837308149514202167323055218693844436579561286010137827997 (268 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1240199138
Step 1 took 0ms
Step 2 took 4978ms
********** Factor found in step 2: 3142596095813858866479559036367925245919673
Found prime factor of 43 digits: 3142596095813858866479559036367925245919673
Composite cofactor 1172191333407249614070834999251713092735038408412607241081506253550804319433399053289142833157141828647910006040532849185452841215282427220163396953219642232864072128269589740528276294498825469286813035569414259470497232822789 has 226 digits

114595528103135087516220174444344038216422100263327734846545097209615379960839402961434137516831577606567466445537040201174255166435061737055119283712448917150447050111962673927537304838255156124029440987624795579312199986004710094262851685164056556807519<255>