109509960667739156067302164929136583140361182107634358179920720851987395992876341718399989698609595503<102>

1725257284191769931803996316955408409<37>
63474567921642603252258247337128227317134991697475356479253696967<65>

N=109509960667739156067302164929136583140361182107634358179920720851987395992876341718399989698609595503
  ( 102 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=1725257284191769931803996316955408409 (pp37)
 r2=63474567921642603252258247337128227317134991697475356479253696967 (pp65)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.40 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 109509960667739156067302164929136583140361182107634358179920720851987395992876341718399989698609595503
m: 1000000000000000000000000000
deg: 4
c4: 2950
c0: 11
skew: 0.25
# Murphy_E = 8.169e-08
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [250000, 530001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 57598 x 57827
Total sieving time: 0.39 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,111.000,4,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.40 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)

302379262660175069511121927394057510656095506187007170260931046043560951029012822898186038148897455719<102>

1634539243252360906992779785524594097319236453<46>
184993577797807527114983956704039759767032423501410524123<57>

N=302379262660175069511121927394057510656095506187007170260931046043560951029012822898186038148897455719
  ( 102 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=1634539243252360906992779785524594097319236453 (pp46)
 r2=184993577797807527114983956704039759767032423501410524123 (pp57)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.02 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 302379262660175069511121927394057510656095506187007170260931046043560951029012822898186038148897455719
m: 10000000000000000000000000000000
deg: 4
c4: 295
c0: 11
skew: 0.44
# Murphy_E = 1.734e-08
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 825001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 130023 x 130254
Total sieving time: 0.00 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,126.000,4,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,75000
total time: 0.02 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)

92622868270260100977364438809868744736672815478802204274590479481555002079675689038159107887599603166750063973647<113>

3295553472458959435920840683084266348033440787553<49>
28105405979393818709288910877103027955551779597488411891753580399<65>

Number: 1
N=92622868270260100977364438809868744736672815478802204274590479481555002079675689038159107887599603166750063973647
  ( 113 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=3295553472458959435920840683084266348033440787553 (pp49)
 r2=28105405979393818709288910877103027955551779597488411891753580399 (pp65)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.02 hours.
Scaled time: 60.97 units (timescale=7.605).
Factorization parameters were as follows:
n: 92622868270260100977364438809868744736672815478802204274590479481555002079675689038159107887599603166750063973647
m: 10000000000000000000000000000000000
deg: 4
c4: 2950
c0: 11
skew: 0.25
# Murphy_E = 3.718e-09
type: snfs
lss: 1
rlim: 1480000
alim: 1480000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1480000/1480000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [740000, 1540001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 189441 x 189666
Total sieving time: 7.98 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,139.000,4,0,0,0,0,0,0,0,0,1480000,1480000,26,26,48,48,2.3,2.3,100000
total time: 8.02 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

5884229532216650873294650900793819293377583855049546624587229899296104333463867751887850131918482612699364719200638456121<121>

2369464182219222557226199999939811023465682513029<49>
2483358717288363983710440363279124299414873292733784554117570180278221349<73>

Number: 1
N=5884229532216650873294650900793819293377583855049546624587229899296104333463867751887850131918482612699364719200638456121
  ( 121 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=2369464182219222557226199999939811023465682513029 (pp49)
 r2=2483358717288363983710440363279124299414873292733784554117570180278221349 (pp73)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.99 hours.
Scaled time: 61.80 units (timescale=7.734).
Factorization parameters were as follows:
n: 5884229532216650873294650900793819293377583855049546624587229899296104333463867751887850131918482612699364719200638456121
m: 50000000000000000000000000000000000
deg: 4
c4: 236
c0: 55
skew: 0.69
# Murphy_E = 3.071e-09
type: snfs
lss: 1
rlim: 1580000
alim: 1580000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1580000/1580000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [790000, 1590001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 202873 x 203098
Total sieving time: 7.96 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,141.000,4,0,0,0,0,0,0,0,0,1580000,1580000,26,26,48,48,2.3,2.3,100000
total time: 7.99 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

4557184746012638296788936721254463876388338029527662183241886778728519286808373083300040009146934052854410971644419471689959650578122216907<139>

3120681182005657745002962765547557062519707744153607543<55>
1460317309018969241770848290169879463787584220705331140080411859732431837656750051149<85>

Number: n
N=4557184746012638296788936721254463876388338029527662183241886778728519286808373083300040009146934052854410971644419471689959650578122216907  ( 139 digits)
SNFS difficulty: 147 digits.
Divisors found:

Wed Nov  9 00:02:14 2022  p55 factor: 3120681182005657745002962765547557062519707744153607543
Wed Nov  9 00:02:14 2022  p85 factor: 1460317309018969241770848290169879463787584220705331140080411859732431837656750051149
Wed Nov  9 00:02:14 2022  elapsed time 00:03:43 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 59x10^146+22 = 65(145)8
#
n: 4557184746012638296788936721254463876388338029527662183241886778728519286808373083300040009146934052854410971644419471689959650578122216907
m: 100000000000000000000000000000
deg: 5
c5: 295
c0: 11
skew: 0.52
# Murphy_E = 1.928e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 715944 hash collisions in 7684328 relations (7300652 unique)
Msieve: matrix is 282720 x 282945 (94.4 MB)

Sieving start time : 2022/11/08 23:46:55
Sieving end time  : 2022/11/08 23:58:17

Total sieving time: 0hrs 11min 22secs.

Total relation processing time: 0hrs 1min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 25sec.

Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

762293147685389198717888976646243542771630159397607661134075027721793327899064186180325410788004045040173608228216427386542677<126>

1199740975663365896367936999378651643<37>
3128637565107396153749477341365830614593431<43>
203085664572920237471076869112625747730760798569<48>

Number: n
N=762293147685389198717888976646243542771630159397607661134075027721793327899064186180325410788004045040173608228216427386542677  ( 126 digits)
SNFS difficulty: 148 digits.
Divisors found:

Tue Nov  8 21:42:07 2022  found factor: 203085664572920237471076869112625747730760798569
Tue Nov  8 21:42:24 2022  p37 factor: 1199740975663365896367936999378651643
Tue Nov  8 21:42:24 2022  p43 factor: 3128637565107396153749477341365830614593431
Tue Nov  8 21:42:24 2022  p48 factor: 203085664572920237471076869112625747730760798569
Tue Nov  8 21:42:24 2022  elapsed time 00:05:23 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.598).
Factorization parameters were as follows:
#
# N = 59x10^147+22 = 65(146)8
#
n: 762293147685389198717888976646243542771630159397607661134075027721793327899064186180325410788004045040173608228216427386542677
m: 100000000000000000000000000000
deg: 5
c5: 2950
c0: 11
skew: 0.33
# Murphy_E = 1.368e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1243896 hash collisions in 9238701 relations (8312316 unique)
Msieve: matrix is 315319 x 315567 (101.4 MB)

Sieving start time : 2022/11/08 21:19:39
Sieving end time  : 2022/11/08 21:36:46

Total sieving time: 0hrs 17min 7secs.

Total relation processing time: 0hrs 2min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 50sec.

Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1742415021193698910875510835588417079051364034876159654466095463504330276981740271572360565167870829666535554111<112>

280133919222177359649921975850082469215873<42>
6219935900770980808112905547550875523546919731789685075635911784291007<70>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1742415021193698910875510835588417079051364034876159654466095463504330276981740271572360565167870829666535554111 (112 digits)
Using B1=30130000, B2=144289285156, polynomial Dickson(12), sigma=1:2796975071
Step 1 took 38640ms
Step 2 took 16984ms
********** Factor found in step 2: 280133919222177359649921975850082469215873
Found prime factor of 42 digits: 280133919222177359649921975850082469215873
Prime cofactor 6219935900770980808112905547550875523546919731789685075635911784291007 has 70 digits

58795107441350692069735325433039274712931706653909938045917747542928635094770972564854040795430266671528727225723500401887337<125>

210089040716536788940955409684261711439110935636881934930579<60>
279858041337244959425968434606789334346635169935333743584576416403<66>

58795107441350692069735325433039274712931706653909938045917747542928635094770972564854040795430266671528727225723500401887337=210089040716536788940955409684261711439110935636881934930579*279858041337244959425968434606789334346635169935333743584576416403

cado polynomial
n: 58795107441350692069735325433039274712931706653909938045917747542928635094770972564854040795430266671528727225723500401887337
skew: 18153.624
c0: 543027373044999457470993159
c1: 44404894771258170166946
c2: -8203061441241292610
c3: -199540712555743
c4: 4629267318
c5: 320880
Y0: -712184191270270424670662
Y1: 4194850008338123
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.561e-07
# f(x) = 320880*x^5+4629267318*x^4-199540712555743*x^3-8203061441241292610*x^2+44404894771258170166946*x+543027373044999457470993159
# g(x) = 4194850008338123*x-712184191270270424670662

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

cado log (extracts)
Info:Square Root: Factors: 210089040716536788940955409684261711439110935636881934930579 279858041337244959425968434606789334346635169935333743584576416403
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20094/36.400/44.446/48.690/0.879
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15981/36.130/39.826/45.220/0.964
Info:Polynomial Selection (size optimized): Total time: 2740.71
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2612.02
Info:Polynomial Selection (root optimized): Rootsieve time: 2561.71
Info:Generate Factor Base: Total cpu/real time for makefb: 9.07/1.49391
Info:Generate Free Relations: Total cpu/real time for freerel: 133.77/16.8397
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12035040
Info:Lattice Sieving: Average J: 3797.33 for 227695 special-q, max bucket fill -bkmult 1.0,1s:1.155210
Info:Lattice Sieving: Total time: 104304s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 31.13/65.6889
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 65.30000000000001s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 227.83/199.463
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 179.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 163.72/175.244
Info:Filtering - Merging: Merged matrix has 816400 rows and total weight 140266246 (171.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 165.44/24.9149
Info:Filtering - Merging: Total cpu/real time for replay: 27.82/22.6183
Info:Linear Algebra: Total cpu/real time for bwc: 6854.85/1787.95
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1118.97, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25600 iterations)
Info:Linear Algebra: Lingen CPU time 86.25, WCT time 23.32
Info:Linear Algebra: Mksol: WCT time 618.74, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 41.18/10.0902
Info:Square Root: Total cpu/real time for sqrt: 1572.74/207.446
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 236231/29169.2
Info:root: Cleaning up computation data in /tmp/cado.8f7ap86s
210089040716536788940955409684261711439110935636881934930579 279858041337244959425968434606789334346635169935333743584576416403

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)

5888266876585452070500904406597881274319793187034650196628275417473634205964189967753985004443118386860737016318418882465336527104223352185431<142>

75696110761089878628889939808478909679<38>
7937704338206879309930604649372069968973<40>
9799840357389635298999328084331720388316180360814952042402039293<64>

Number: n
N=77788235318586562679671751388194958554268824006473141738621668649510230161060362581557482897138436856089  ( 104 digits)
Divisors found:

Thu Nov 10 10:50:00 2022  p40 factor: 7937704338206879309930604649372069968973
Thu Nov 10 10:50:00 2022  p64 factor: 9799840357389635298999328084331720388316180360814952042402039293
Thu Nov 10 10:50:00 2022  elapsed time 00:02:48 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 5888266876585452070500904406597881274319793187034650196628275417473634205964189967753985004443118386860737016318418882465336527104223352185431 (142 digits)
# Using B1=27640000, B2=144287213086, polynomial Dickson(12), sigma=1:3446052384
# Step 1 took 55895ms
# Step 2 took 6168ms
# ********** Factor found in step 2: 75696110761089878628889939808478909679
# Found prime factor of 38 digits: 75696110761089878628889939808478909679
# Composite cofactor 77788235318586562679671751388194958554268824006473141738621668649510230161060362581557482897138436856089 has 104 digits
#

n: 77788235318586562679671751388194958554268824006473141738621668649510230161060362581557482897138436856089

Y0: -15762910123558562686864294
Y1: 5196155605577
c0: 3569498366212488510306401123421
c1: 768540197668639799979608
c2: -236610138351743021
c3: -19565426268
c4: 1260

# skew 9864921.04, size 2.203e-14, alpha -6.032, combined = 6.152e-09 rroots = 4

skew: 9864921.04

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

Msieve: found 449956 hash collisions in 6279228 relations (6227601 unique)
Msieve: matrix is 257258 x 257485 (90.8 MB)

Sieving start time : 2022/11/10 10:38:59
Sieving end time  : 2022/11/10 10:47:00

Total sieving time: 0hrs 8min 1secs.

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

Prototype def-par.txt line would be:
gnfs,103,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

213871138606338979607468172019297153699392714562236047631358785487655279357710217637091959097371731850844741<108>

1630615593857635237893203351038133119<37>
131159753047848938115890104023066793726978831819026846095459421226234939<72>

Number: 1
N=213871138606338979607468172019297153699392714562236047631358785487655279357710217637091959097371731850844741
  ( 108 digits)
Divisors found:
 r1=1630615593857635237893203351038133119 (pp37)
 r2=131159753047848938115890104023066793726978831819026846095459421226234939 (pp72)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.77 hours.
Scaled time: 60.50 units (timescale=7.788).
Factorization parameters were as follows:
name: 1
n: 213871138606338979607468172019297153699392714562236047631358785487655279357710217637091959097371731850844741
skew: 40632.86
# norm 1.32e+015
c5: 9840
c4: 1422609228
c3: -41591609448886
c2: -1999330683236485513
c1: 31131197682291345846266
c0: 559664553642715082694439140
# alpha -6.00
Y1: 166144319143
Y0: -464972137759617753929
# Murphy_E 1.24e-009
# M 178749210182048016687857567497818590567718919537130133913544707236910172512447073809243141834146742151699627
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 313225 x 313451
Total sieving time: 7.70 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 7.77 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

115484561648082486358269888564181883465540990846956306732965360440963103651578467249324335066997852744380363287863472954966612257410228259<138>

28792050025097728765582624581006908339<38>
4010987809045059391213841119632404775963057492428252194106901391171155515552924923260743520590115281<100>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 115484561648082486358269888564181883465540990846956306732965360440963103651578467249324335066997852744380363287863472954966612257410228259 (138 digits)
Using B1=25760000, B2=96191014936, polynomial Dickson(12), sigma=1:1862842000
Step 1 took 52787ms
Step 2 took 17421ms
********** Factor found in step 2: 28792050025097728765582624581006908339
Found prime factor of 38 digits: 28792050025097728765582624581006908339
Prime cofactor 4010987809045059391213841119632404775963057492428252194106901391171155515552924923260743520590115281 has 100 digits

8525855845300283917522650751265552081167855361733913414056715078785651673536193369936056154280299696414235412017394463465297916497755192400679510005681<151>

30965504346432126160491517568571469578006004372141391614777<59>
275333989393996124445781729491676160751841608586210525742164866699605710319354536640923242553<93>

Number: n
N=8525855845300283917522650751265552081167855361733913414056715078785651673536193369936056154280299696414235412017394463465297916497755192400679510005681  ( 151 digits)
SNFS difficulty: 161 digits.
Divisors found:

Wed Nov  9 19:13:16 2022  p59 factor: 30965504346432126160491517568571469578006004372141391614777
Wed Nov  9 19:13:16 2022  p93 factor: 275333989393996124445781729491676160751841608586210525742164866699605710319354536640923242553
Wed Nov  9 19:13:16 2022  elapsed time 00:07:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 59x10^160+22 = 65(159)8
#
n: 8525855845300283917522650751265552081167855361733913414056715078785651673536193369936056154280299696414235412017394463465297916497755192400679510005681
m: 100000000000000000000000000000000
deg: 5
c5: 59
c0: 22
skew: 0.82
# Murphy_E = 5.526e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1437661 hash collisions in 15223985 relations (14796688 unique)
Msieve: matrix is 460011 x 460240 (154.8 MB)

Sieving start time : 2022/11/09 18:18:51
Sieving end time  : 2022/11/09 19:05:35

Total sieving time: 0hrs 46min 44secs.

Total relation processing time: 0hrs 3min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 23sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

493567196559385423909011798651025412747430963030428406064427418986574680197346514287753551147685768259589180852135916480444001100083473643176869<144>

248571985875545665295491430122830360145633417<45>
1985610706777324792356660823999495444866554334511269488693790497815453243083312058966568062458391357<100>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 493567196559385423909011798651025412747430963030428406064427418986574680197346514287753551147685768259589180852135916480444001100083473643176869 (144 digits)
Using B1=33740000, B2=144292738606, polynomial Dickson(12), sigma=1:2314090391
Step 1 took 66713ms
Step 2 took 21920ms
********** Factor found in step 2: 248571985875545665295491430122830360145633417
Found prime factor of 45 digits: 248571985875545665295491430122830360145633417
Prime cofactor 1985610706777324792356660823999495444866554334511269488693790497815453243083312058966568062458391357 has 100 digits

32777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<164>

4146424183461276358637266619132326485738132166994119793313159438542253772829<76>
7905071050983534983065967358642142196338546949198554495130114099795947881316139896281551<88>

Number: n
N=32777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779  ( 164 digits)
SNFS difficulty: 164 digits.
Divisors found:

Thu Nov 10 19:37:13 2022  p76 factor: 4146424183461276358637266619132326485738132166994119793313159438542253772829
Thu Nov 10 19:37:13 2022  p88 factor: 7905071050983534983065967358642142196338546949198554495130114099795947881316139896281551
Thu Nov 10 19:37:13 2022  elapsed time 00:09:12 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 59x10^163+22 = 65(162)8
#
n: 32777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
m: 100000000000000000000000000000000
deg: 5
c5: 29500
c0: 11
skew: 0.21
# Murphy_E = 2.661e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 21950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1694393 hash collisions in 13917246 relations (13012712 unique)
Msieve: matrix is 598806 x 599031 (205.0 MB)

Sieving start time : 2022/11/10 17:16:49
Sieving end time  : 2022/11/10 19:27:02

Total sieving time: 2hrs 10min 13secs.

Total relation processing time: 0hrs 5min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 41sec.

Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2548756854643964586967471814637121822801783611407026101862147677564114194674912543080470733791418378869682494014741318458961126706047120034352058488353909145025993<163>

249622582224607387618735384093215174345232434706417804217224090706652157<72>
10210441827537157362034195320598739970697397408373354412258473246742329716391514803559797949<92>

Number: n
N=2548756854643964586967471814637121822801783611407026101862147677564114194674912543080470733791418378869682494014741318458961126706047120034352058488353909145025993  ( 163 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sun Nov 13 18:51:51 2022  p72 factor: 249622582224607387618735384093215174345232434706417804217224090706652157
Sun Nov 13 18:51:51 2022  p92 factor: 10210441827537157362034195320598739970697397408373354412258473246742329716391514803559797949
Sun Nov 13 18:51:51 2022  elapsed time 00:15:39 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 59x10^167+22 = 65(166)8
#
n: 2548756854643964586967471814637121822801783611407026101862147677564114194674912543080470733791418378869682494014741318458961126706047120034352058488353909145025993
m: 1000000000000000000000000000000000
deg: 5
c5: 2950
c0: 11
skew: 0.33
# Murphy_E = 2.318e-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, 15050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2073030 hash collisions in 15759785 relations (14568850 unique)
Msieve: matrix is 619707 x 619933 (211.5 MB)

Sieving start time : 2022/11/13 17:40:27
Sieving end time  : 2022/11/13 18:35:49

Total sieving time: 0hrs 55min 22secs.

Total relation processing time: 0hrs 6min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 5sec.

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) ----------

777555765838264025307094331826693837364485538398458109552124979516677134675900655363536182345103445360141558376211580145927976037365481864091633919048959154626611<162>

17195464487558404572457582049789963667149047327487104477<56>
45218654395806302823490396949837467429527405982793913552349439009004309337960680375451683045328051360683343<107>

Number: n
N=777555765838264025307094331826693837364485538398458109552124979516677134675900655363536182345103445360141558376211580145927976037365481864091633919048959154626611  ( 162 digits)
SNFS difficulty: 169 digits.
Divisors found:

Mon Nov 14 13:54:20 2022  p56 factor: 17195464487558404572457582049789963667149047327487104477
Mon Nov 14 13:54:20 2022  p107 factor: 45218654395806302823490396949837467429527405982793913552349439009004309337960680375451683045328051360683343
Mon Nov 14 13:54:20 2022  elapsed time 00:14:04 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 59x10^168+22 = 65(167)8
#
n: 777555765838264025307094331826693837364485538398458109552124979516677134675900655363536182345103445360141558376211580145927976037365481864091633919048959154626611
m: 1000000000000000000000000000000000
deg: 5
c5: 29500
c0: 11
skew: 0.21
# Murphy_E = 1.694e-10
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 29550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1938070 hash collisions in 14986898 relations (13882575 unique)
Msieve: matrix is 755912 x 756138 (260.1 MB)

Sieving start time : 2022/11/14 11:00:41
Sieving end time  : 2022/11/14 13:39:34

Total sieving time: 2hrs 38min 53secs.

Total relation processing time: 0hrs 8min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 55sec.

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

1232936450730011096768407390754964289587529640707315582209613556348206176876076203867158011353042738468066075396739523614057757<127>

3963230014561897461072660347545091850441937<43>
311093841689706242966402130285235063448812179789184548019138731513064451804189150861<84>

1232936450730011096768407390754964289587529640707315582209613556348206176876076203867158011353042738468066075396739523614057757=3963230014561897461072660347545091850441937*311093841689706242966402130285235063448812179789184548019138731513064451804189150861

cado polynomial
n: 1232936450730011096768407390754964289587529640707315582209613556348206176876076203867158011353042738468066075396739523614057757
skew: 170360.015
c0: 1089062793729330220799164843040
c1: 12139111279684817615806382
c2: 30469919035118595826
c3: -1457056472500751
c4: -540041130
c5: 12420
Y0: -3892438956362991305915999
Y1: 9713941013961649
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.257e-07
# f(x) = 12420*x^5-540041130*x^4-1457056472500751*x^3+30469919035118595826*x^2+12139111279684817615806382*x+1089062793729330220799164843040
# g(x) = 9713941013961649*x-3892438956362991305915999

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

cado log (extracts)
Info:Square Root: Factors: 3963230014561897461072660347545091850441937 311093841689706242966402130285235063448812179789184548019138731513064451804189150861
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20488/37.810/44.953/49.160/0.851
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16239/36.910/40.334/45.730/1.018
Info:Polynomial Selection (size optimized): Total time: 3148.47
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3330.6
Info:Polynomial Selection (root optimized): Rootsieve time: 3284.23
Info:Generate Factor Base: Total cpu/real time for makefb: 11.09/1.68895
Info:Generate Free Relations: Total cpu/real time for freerel: 151.2/19.0101
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12215839
Info:Lattice Sieving: Average J: 3831.83 for 247750 special-q, max bucket fill -bkmult 1.0,1s:1.159800
Info:Lattice Sieving: Total time: 135945s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 34.79/66.1739
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 65.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 278.54/249.951
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 222.20000000000005s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 212.94/218.81
Info:Filtering - Merging: Merged matrix has 813143 rows and total weight 138532871 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 209/30.2124
Info:Filtering - Merging: Total cpu/real time for replay: 29.38/24.2259
Info:Linear Algebra: Total cpu/real time for bwc: 7864.12/2070.02
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1303.34, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25600 iterations)
Info:Linear Algebra: Lingen CPU time 94.36, WCT time 25.56
Info:Linear Algebra: Mksol: WCT time 706.85, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 41.23/10.1843
Info:Square Root: Total cpu/real time for sqrt: 1738.88/230.478
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 291167/37623
Info:root: Cleaning up computation data in /tmp/cado.i05jdqj8
3963230014561897461072660347545091850441937 311093841689706242966402130285235063448812179789184548019138731513064451804189150861

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)

145550635157917481097066091610336444090093986535532978409351458546816542510319659858729334114799514733540344589763964538316270424663224563905664222333181<153>

11893859729600166038714408848089002692379400550053551<53>
12237460207781551942686159701625573331085077407257454839202957488546416937578990424657004924731418131<101>

Number: n
N=145550635157917481097066091610336444090093986535532978409351458546816542510319659858729334114799514733540344589763964538316270424663224563905664222333181  ( 153 digits)
SNFS difficulty: 172 digits.
Divisors found:

Mon Nov 14 10:19:03 2022  p53 factor: 11893859729600166038714408848089002692379400550053551
Mon Nov 14 10:19:03 2022  p101 factor: 12237460207781551942686159701625573331085077407257454839202957488546416937578990424657004924731418131
Mon Nov 14 10:19:03 2022  elapsed time 00:15:56 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.355).
Factorization parameters were as follows:
#
# N = 59x10^171+22 = 65(170)8
#
n: 145550635157917481097066091610336444090093986535532978409351458546816542510319659858729334114799514733540344589763964538316270424663224563905664222333181
m: 10000000000000000000000000000000000
deg: 5
c5: 295
c0: 11
skew: 0.52
# Murphy_E = 2.076e-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, 37000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1516380 hash collisions in 14898581 relations (14330172 unique)
Msieve: matrix is 727970 x 728198 (251.8 MB)

Sieving start time : 2022/11/14 05:34:24
Sieving end time  : 2022/11/14 10:01:54

Total sieving time: 4hrs 27min 30secs.

Total relation processing time: 0hrs 7min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 24sec.

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) ----------

34926030139310174249908438031207737471316997686998678685133807468049860600515905246727102650269760197299373789859<113>

12099130342274821676116366304556142248293<41>
2886656243158014120250889974114183112076354783224738438764377651059541863<73>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1173211115
Step 1 took 3532ms
Step 2 took 2156ms
********** Factor found in step 2: 12099130342274821676116366304556142248293
Found prime factor of 41 digits: 12099130342274821676116366304556142248293
Prime cofactor 2886656243158014120250889974114183112076354783224738438764377651059541863 has 73 digits
 

GMP-ECM

207958559527821063755525107184313681591734811959517138333082112997968085463876296587675743362107867712253779685097061243007694981951474772881095163300056785119<159>

364269381581780840825590870069197660922747712054179<51>
570892229878873355638413252487821445646872363404461986064450093322414575294283136965817973509229002336403861<108>

Number: n
N=207958559527821063755525107184313681591734811959517138333082112997968085463876296587675743362107867712253779685097061243007694981951474772881095163300056785119  ( 159 digits)
SNFS difficulty: 176 digits.
Divisors found:

Mon Nov 14 20:00:57 2022  p51 factor: 364269381581780840825590870069197660922747712054179
Mon Nov 14 20:00:57 2022  p108 factor: 570892229878873355638413252487821445646872363404461986064450093322414575294283136965817973509229002336403861
Mon Nov 14 20:00:57 2022  elapsed time 00:16:57 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.287).
Factorization parameters were as follows:
#
# N = 59x10^174+22 = 65(173)8
#
n: 207958559527821063755525107184313681591734811959517138333082112997968085463876296587675743362107867712253779685097061243007694981951474772881095163300056785119
m: 50000000000000000000000000000000000
deg: 5
c5: 472
c0: 55
skew: 0.65
# Murphy_E = 1.223e-10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1676830 hash collisions in 12902828 relations (11918213 unique)
Msieve: matrix is 919744 x 919969 (319.3 MB)

Sieving start time : 2022/11/14 18:25:54
Sieving end time  : 2022/11/14 19:43:37

Total sieving time: 1hrs 17min 43secs.

Total relation processing time: 0hrs 12min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 10sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

93324008165265592463572906692024947799082682394587944506309342680150633962120527284472558714692297026674067312504224511603383094182434587116305554881533<152>

1248352337999655171386580482192024269823039683<46>
74757746931292542725857891181321413788048733371134933482661388650682246926786165974982864558668691747621951<107>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 93324008165265592463572906692024947799082682394587944506309342680150633962120527284472558714692297026674067312504224511603383094182434587116305554881533 (152 digits)
Using B1=34350000, B2=144293429296, polynomial Dickson(12), sigma=1:3226183541
Step 1 took 67700ms
Step 2 took 22498ms
********** Factor found in step 2: 1248352337999655171386580482192024269823039683
Found prime factor of 46 digits: 1248352337999655171386580482192024269823039683
Prime cofactor 74757746931292542725857891181321413788048733371134933482661388650682246926786165974982864558668691747621951 has 107 digits

1974105994166516456658838406756478409910479879155096534799381162509290294990371151323993679958497403162342580605204060007474606416622489329573571213649172043550025579889<169>

253307628105564933703391231262179650858843761670554712742959907408200128487<75>
7793314433246422943029168318103015129013595331207192309434002155987577629893596298367015843047<94>

Number: n
N=1974105994166516456658838406756478409910479879155096534799381162509290294990371151323993679958497403162342580605204060007474606416622489329573571213649172043550025579889  ( 169 digits)
SNFS difficulty: 181 digits.
Divisors found:

Thu Nov 17 07:18:47 2022  p75 factor: 253307628105564933703391231262179650858843761670554712742959907408200128487
Thu Nov 17 07:18:47 2022  p94 factor: 7793314433246422943029168318103015129013595331207192309434002155987577629893596298367015843047
Thu Nov 17 07:18:47 2022  elapsed time 00:19:22 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.354).
Factorization parameters were as follows:
#
# N = 59x10^179+22 = 65(178)8
#
n: 1974105994166516456658838406756478409910479879155096534799381162509290294990371151323993679958497403162342580605204060007474606416622489329573571213649172043550025579889
m: 500000000000000000000000000000000000
deg: 5
c5: 472
c0: 55
skew: 0.65
# Murphy_E = 7.699e-11
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1279990 hash collisions in 12669330 relations (12164480 unique)
Msieve: matrix is 980264 x 980489 (339.9 MB)

Sieving start time : 2022/11/17 04:36:49
Sieving end time  : 2022/11/17 06:58:58

Total sieving time: 2hrs 22min 9secs.

Total relation processing time: 0hrs 14min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 18sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7300000,7300000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

38092036817147597390390906495052325709046456273554211635721999859748764362242139307558163069560693948211318478726069705923664566696717788157671792185281853680314722629039<170>

11974176176321706994788409608999949961677<41>
3181182258907511568084645705947790893760755472948622574231627639914057201775934680781943718369326942588589704190460595565076844907<130>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 38092036817147597390390906495052325709046456273554211635721999859748764362242139307558163069560693948211318478726069705923664566696717788157671792185281853680314722629039 (170 digits)
Using B1=25460000, B2=96190324246, polynomial Dickson(12), sigma=1:3627489422
Step 1 took 60193ms
Step 2 took 19928ms
********** Factor found in step 2: 11974176176321706994788409608999949961677
Found prime factor of 41 digits: 11974176176321706994788409608999949961677
Prime cofactor 3181182258907511568084645705947790893760755472948622574231627639914057201775934680781943718369326942588589704190460595565076844907 has 130 digits

533138409802427152653115348352987038043768591517109873870722913236378267432201152446006181130605542411395565929708424050596679221431589922665339643872646774074033117417567<171>

3983375422363971151124187877022799575837<40>
29159619132244081763530272150013734410231123<44>
4589938702694734014117449831327240336877729621367813047818902898022939892585798413113417<88>

Number: n
N=533138409802427152653115348352987038043768591517109873870722913236378267432201152446006181130605542411395565929708424050596679221431589922665339643872646774074033117417567  ( 171 digits)
SNFS difficulty: 182 digits.
Divisors found:

Thu Nov 17 04:17:36 2022  found factor: 3983375422363971151124187877022799575837
Thu Nov 17 04:20:04 2022  found factor: 3983375422363971151124187877022799575837
Thu Nov 17 04:21:19 2022  found factor: 3983375422363971151124187877022799575837
Thu Nov 17 04:22:35 2022  p40 factor: 3983375422363971151124187877022799575837
Thu Nov 17 04:22:35 2022  p44 factor: 29159619132244081763530272150013734410231123
Thu Nov 17 04:22:35 2022  p88 factor: 4589938702694734014117449831327240336877729621367813047818902898022939892585798413113417
Thu Nov 17 04:22:35 2022  elapsed time 00:24:49 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 59x10^181+22 = 65(180)8
#
n: 533138409802427152653115348352987038043768591517109873870722913236378267432201152446006181130605542411395565929708424050596679221431589922665339643872646774074033117417567
m: 1000000000000000000000000000000000000
deg: 5
c5: 295
c0: 11
skew: 0.52
# Murphy_E = 8.232e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1190027 hash collisions in 12476233 relations (12066975 unique)
Msieve: matrix is 995101 x 995326 (347.8 MB)

Sieving start time : 2022/11/17 01:44:19
Sieving end time  : 2022/11/17 03:57:27

Total sieving time: 2hrs 13min 8secs.

Total relation processing time: 0hrs 15min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 14sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7700000,7700000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

37365260367385348858661784017322362810978257203423337413252499672097918978173503452993428657636041713823768872056917938452611813376444132817038861346496862318341709<164>

75370532042319238114813891686172230082031955279516807052723797552719<68>
495754233848387953398083025247929327369389005938706380428285194177897162158004696662931037122211<96>

Number: n
N=37365260367385348858661784017322362810978257203423337413252499672097918978173503452993428657636041713823768872056917938452611813376444132817038861346496862318341709  ( 164 digits)
SNFS difficulty: 184 digits.
Divisors found:

Fri Nov 18 15:05:13 2022  p68 factor: 75370532042319238114813891686172230082031955279516807052723797552719
Fri Nov 18 15:05:13 2022  p96 factor: 495754233848387953398083025247929327369389005938706380428285194177897162158004696662931037122211
Fri Nov 18 15:05:13 2022  elapsed time 00:41:32 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 59x10^183+22 = 65(182)8
#
n: 37365260367385348858661784017322362810978257203423337413252499672097918978173503452993428657636041713823768872056917938452611813376444132817038861346496862318341709
m: 1000000000000000000000000000000000000
deg: 5
c5: 29500
c0: 11
skew: 0.21
# Murphy_E = 4.249e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1779640 hash collisions in 14156641 relations (13168095 unique)
Msieve: matrix is 1236409 x 1236636 (426.8 MB)

Sieving start time : 2022/11/18 10:20:05
Sieving end time  : 2022/11/18 14:23:20

Total sieving time: 4hrs 3min 15secs.

Total relation processing time: 0hrs 26min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 33sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8300000,8300000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

53792534811980373872099991242039120342877383964624445773838318417111145671001934574618208356055697017624308223574046020315864917188559854859829282243921439767967189<164>

4164966795226837629339582780409020758060034017246451244673469512318453565507701<79>
12915477471183694654340669809160838925183428051871865697843110965895685415917139921889<86>

Number: n
N=53792534811980373872099991242039120342877383964624445773838318417111145671001934574618208356055697017624308223574046020315864917188559854859829282243921439767967189  ( 164 digits)
SNFS difficulty: 186 digits.
Divisors found:

Fri Nov 18 03:37:22 2022  p79 factor: 4164966795226837629339582780409020758060034017246451244673469512318453565507701
Fri Nov 18 03:37:22 2022  p86 factor: 12915477471183694654340669809160838925183428051871865697843110965895685415917139921889
Fri Nov 18 03:37:22 2022  elapsed time 00:30:31 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 59x10^184+22 = 65(183)8
#
n: 53792534811980373872099991242039120342877383964624445773838318417111145671001934574618208356055697017624308223574046020315864917188559854859829282243921439767967189
m: 5000000000000000000000000000000000000
deg: 5
c5: 472
c0: 55
skew: 0.65
# Murphy_E = 4.824e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 17250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1976931 hash collisions in 15756018 relations (14691284 unique)
Msieve: matrix is 1096016 x 1096241 (380.4 MB)

Sieving start time : 2022/11/17 23:08:26
Sieving end time  : 2022/11/18 03:06:23

Total sieving time: 3hrs 57min 57secs.

Total relation processing time: 0hrs 19min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 45sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8900000,8900000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

34874242499350538038762423231212335549111141683796320666765282353133521390770113546912473594817091305254479655033176046956775906919<131>

1505509936324366495163170075308281179938599546978797441179383557<64>
23164405400401675626334306931147513888021313854971821087607506559867<68>

34874242499350538038762423231212335549111141683796320666765282353133521390770113546912473594817091305254479655033176046956775906919=1505509936324366495163170075308281179938599546978797441179383557*23164405400401675626334306931147513888021313854971821087607506559867

cado polynomial
n: 34874242499350538038762423231212335549111141683796320666765282353133521390770113546912473594817091305254479655033176046956775906919
skew: 30086.038
c0: 22757435401452202006136090510
c1: 5318428652457469171787637
c2: -1475628296427247253490
c3: -3839213965571637
c4: -29585913380
c5: -7728000
Y0: -9796709273328267427105434
Y1: 390195372581029871
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.585e-07
# f(x) = -7728000*x^5-29585913380*x^4-3839213965571637*x^3-1475628296427247253490*x^2+5318428652457469171787637*x+22757435401452202006136090510
# g(x) = 390195372581029871*x-9796709273328267427105434

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

cado log (extracts)
Info:Square Root: Factors: 1505509936324366495163170075308281179938599546978797441179383557 23164405400401675626334306931147513888021313854971821087607506559867
Info:Square Root: Total cpu/real time for sqrt: 774.54/228.856
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 349.89/319.258
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 282.9s
Info:Square Root: Total cpu/real time for sqrt: 774.54/228.856
Info:Generate Free Relations: Total cpu/real time for freerel: 256.78/65.7557
Info:Filtering - Singleton removal: Total cpu/real time for purge: 211.74/237.124
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 105.72/116.206
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 115.9s
Info:Filtering - Merging: Merged matrix has 1737840 rows and total weight 295504683 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 440.8/123.897
Info:Filtering - Merging: Total cpu/real time for replay: 69.1/57.9873
Info:Generate Factor Base: Total cpu/real time for makefb: 39.11/10.6895
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23889352
Info:Lattice Sieving: Average J: 7582.36 for 64411 special-q, max bucket fill -bkmult 1.0,1s:1.076470
Info:Lattice Sieving: Total time: 89930.1s
Info:Linear Algebra: Total cpu/real time for bwc: 48788.4/12546.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 31198.51, WCT time 7970.72, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (54528 iterations)
Info:Linear Algebra: Lingen CPU time 340.75, WCT time 86.46
Info:Linear Algebra: Mksol: CPU time 16931.6,  WCT time 4367.24, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27392 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5066.84
Info:Polynomial Selection (root optimized): Rootsieve time: 5064.32
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38507/38.700/46.627/50.330/0.831
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30563/37.890/41.895/47.450/1.032
Info:Polynomial Selection (size optimized): Total time: 4920.25
Info:Quadratic Characters: Total cpu/real time for characters: 67.91/29.8516
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 229828/61960.1
Info:root: Cleaning up computation data in /tmp/cado.mlk226fj
1505509936324366495163170075308281179938599546978797441179383557 23164405400401675626334306931147513888021313854971821087607506559867

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)

208619772252648303468101342565175858072077913767319602153610400134770658341656137115580540153854548975493506009275472137135726782195296057045397<144>

172618043897840277860794450542446875977875681<45>
1208562949398932817049155392333804044112669747454255840589953842510964738104746857374130879692989237<100>

NFS elapsed time = 8685.1160 seconds.
pretesting / nfs ratio was 0.00
Total factoring time = 8685.1174 seconds


***factors found***

P45 = 172618043897840277860794450542446875977875681
P100 = 1208562949398932817049155392333804044112669747454255840589953842510964738104746857374130879692989237

yafu2

4694391202745585291638969035715576489084324302329379803612301610258595543036685971401336685989801538080294403004895046428076528936223516680877128787563110023433732915462349<172>

5854797003489359310385676688347835880901622741763176314395669171815313673934209364349<85>
801802556083124329926261400123846363316442865062921667490543528082742137842827832602001<87>

Number: n
N=4694391202745585291638969035715576489084324302329379803612301610258595543036685971401336685989801538080294403004895046428076528936223516680877128787563110023433732915462349  ( 172 digits)
SNFS difficulty: 189 digits.
Divisors found:

Mon Nov 21 14:15:46 2022  p85 factor: 5854797003489359310385676688347835880901622741763176314395669171815313673934209364349
Mon Nov 21 14:15:46 2022  p87 factor: 801802556083124329926261400123846363316442865062921667490543528082742137842827832602001
Mon Nov 21 14:15:46 2022  elapsed time 00:49:15 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 59x10^188+22 = 65(187)8
#
n: 4694391202745585291638969035715576489084324302329379803612301610258595543036685971401336685989801538080294403004895046428076528936223516680877128787563110023433732915462349
m: 10000000000000000000000000000000
deg: 6
c6: 2950
c0: 11
skew: 0.39
# Murphy_E = 2.746e-11
type: snfs
lss: 1
rlim: 10100000
alim: 10100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10100000/10100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 17850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1446003 hash collisions in 12431539 relations (11949882 unique)
Msieve: matrix is 1470552 x 1470777 (517.5 MB)

Sieving start time : 2022/11/21 09:37:23
Sieving end time  : 2022/11/21 13:26:06

Total sieving time: 3hrs 48min 43secs.

Total relation processing time: 0hrs 39min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 36sec.

Prototype def-par.txt line would be:
snfs,189,6,0,0,0,0,0,0,0,0,10100000,10100000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2446912601771815886404707145619392759236273524929869578522410596669925523844447383259471819499025642939629461746845427145487570029275545761256513671423478608230169485975432305060007<181>

956481165384762274240542299647244004118282873507304974811757677<63>
2558244417481550665214964649496609705311400610710201400349708668237749618120402788547909327485274369733885277104088291<118>

Number: n
N=2446912601771815886404707145619392759236273524929869578522410596669925523844447383259471819499025642939629461746845427145487570029275545761256513671423478608230169485975432305060007  ( 181 digits)
SNFS difficulty: 191 digits.
Divisors found:

Sun Nov 20 10:23:30 2022  p63 factor: 956481165384762274240542299647244004118282873507304974811757677
Sun Nov 20 10:23:30 2022  p118 factor: 2558244417481550665214964649496609705311400610710201400349708668237749618120402788547909327485274369733885277104088291
Sun Nov 20 10:23:30 2022  elapsed time 00:37:51 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 59x10^190+22 = 65(189)8
#
n: 2446912601771815886404707145619392759236273524929869578522410596669925523844447383259471819499025642939629461746845427145487570029275545761256513671423478608230169485975432305060007
m: 100000000000000000000000000000000000000
deg: 5
c5: 59
c0: 22
skew: 0.82
# Murphy_E = 3.46e-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 1761008 hash collisions in 14519500 relations (13594967 unique)
Msieve: matrix is 1322758 x 1322983 (459.1 MB)

Sieving start time : 2022/11/20 05:16:42
Sieving end time  : 2022/11/20 09:45:14

Total sieving time: 4hrs 28min 32secs.

Total relation processing time: 0hrs 30min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 9sec.

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) ----------

1510496671786994367639528929851510496671786994367639528929851510496671786994367639528929851510496671786994367639528929851510496671786994367639528929851510496671786994367639528929851510496671787<193>

3302317925789371671235043633642638852401893076168225438310681640728541<70>
457404982115988069947988482125873410359837578261659156619370812367485122232380843528952343639614063575287304621905333892007<123>

Number: n
N=1510496671786994367639528929851510496671786994367639528929851510496671786994367639528929851510496671786994367639528929851510496671786994367639528929851510496671786994367639528929851510496671787  ( 193 digits)
SNFS difficulty: 196 digits.
Divisors found:

Fri Nov 25 08:31:37 2022  p70 factor: 3302317925789371671235043633642638852401893076168225438310681640728541
Fri Nov 25 08:31:37 2022  p123 factor: 457404982115988069947988482125873410359837578261659156619370812367485122232380843528952343639614063575287304621905333892007
Fri Nov 25 08:31:37 2022  elapsed time 01:08:52 (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 = 59x10^194+22 = 65(193)8
#
n: 1510496671786994367639528929851510496671786994367639528929851510496671786994367639528929851510496671786994367639528929851510496671786994367639528929851510496671786994367639528929851510496671787
m: 500000000000000000000000000000000000000
deg: 5
c5: 472
c0: 55
skew: 0.65
# Murphy_E = 1.87e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 26500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2044722 hash collisions in 14534167 relations (13237012 unique)
Msieve: matrix is 1793795 x 1794020 (626.2 MB)

Sieving start time : 2022/11/24 23:46:37
Sieving end time  : 2022/11/25 07:22:24

Total sieving time: 7hrs 35min 47secs.

Total relation processing time: 1hrs 1min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 28sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13000000,13000000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

246032340501862363969647288780074531510841224019769567140168463616799669592779648687426671341221053343318733248879933828851996681622110634696505261602930678507316253<165>

454619056659631628295603703505414806906057301502649569596020270505676106853453<78>
541183518151690937223942483978211925510693517563263171941138546019974338282932803747601<87>

Number: n
N=246032340501862363969647288780074531510841224019769567140168463616799669592779648687426671341221053343318733248879933828851996681622110634696505261602930678507316253  ( 165 digits)
SNFS difficulty: 201 digits.
Divisors found:

Thu May 25 13:41:15 2023  prp78 factor: 454619056659631628295603703505414806906057301502649569596020270505676106853453
Thu May 25 13:41:15 2023  prp87 factor: 541183518151690937223942483978211925510693517563263171941138546019974338282932803747601
Thu May 25 13:41:15 2023  elapsed time 03:22:30 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
#
# N = 59x10^199+22 = 65(198)8
#
n: 246032340501862363969647288780074531510841224019769567140168463616799669592779648687426671341221053343318733248879933828851996681622110634696505261602930678507316253
m: 5000000000000000000000000000000000000000
deg: 5
c5: 472
c0: 55
skew: 0.65
# Murphy_E = 1.157e-11
type: snfs
lss: 1
rlim: 15800000
alim: 15800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15800000/15800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 47900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2269739 hash collisions in 15059520 relations (13516883 unique)
Msieve: matrix is 2506622 x 2506848 (710.8 MB)

Sieving start time: 2023/05/24 14:31:44
Sieving end time  : 2023/05/25 10:18:27

Total sieving time: 19hrs 46min 43secs.

Total relation processing time: 3hrs 11min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 41sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15800000,15800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

68749668549163881994327419807120661623682443553829887059930386478595395721267940172031842475840007763779811038141978411347245507667770462487852181869723773649997249153477<170>

660006850341811694672333492566809307288933<42>
104165083307179369946562892097869524867206496427899027495057109380286208337748712961609159869267955726236718891306147402102508769<129>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:388562388
Step 1 took 23422ms
Step 2 took 10344ms
********** Factor found in step 2: 660006850341811694672333492566809307288933
Found prime factor of 42 digits: 660006850341811694672333492566809307288933
Prime cofactor 104165083307179369946562892097869524867206496427899027495057109380286208337748712961609159869267955726236718891306147402102508769 has 129 digits
 

GMP-ECM

530893041443678203653388213413342230888176854303341363031502373656049221993365971825821735101421850954703394045515396041603229408365211661890009389372599308571383366283448609<174>

35741596480491393532672154745741327253<38>

14853646555308522631485754385195262833698089183117007511298434533689248443090156279558663871418942341651063016630165177119005819099151453<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:340350109
Step 1 took 4937ms
Step 2 took 1672ms
********** Factor found in step 2: 35741596480491393532672154745741327253
Found prime factor of 38 digits: 35741596480491393532672154745741327253
Composite cofactor 14853646555308522631485754385195262833698089183117007511298434533689248443090156279558663871418942341651063016630165177119005819099151453 has 137 digits

GMP-ECM

14853646555308522631485754385195262833698089183117007511298434533689248443090156279558663871418942341651063016630165177119005819099151453<137>

2508888554717008348744630371003601867867342066911001229<55>
5920409070136616319472581316288897586068445541901624067822427607997177542849936657<82>

FACTORS
2508888554717008348744630371003601867867342066911001229
5920409070136616319472581316288897586068445541901624067822427607997177542849936657
POLYNOMIAL
n: 14853646555308522631485754385195262833698089183117007511298434533689248443090156279558663871418942341651063016630165177119005819099151453
skew: 113106.147
c0: 4253512687511320746625234899096
c1: 123978261347408659716029346
c2: -637952861415233711977
c3: -24278281104042853
c4: 86779966664
c5: 314160
Y0: -177172087534979713834368647
Y1: 58996491148689402607
# MurphyE (Bf=1.074e+09,Bg=5.369e+08,area=5.033e+13) = 1.681e-06
# f(x) = 314160*x^5+86779966664*x^4-24278281104042853*x^3-637952861415233711977*x^2+123978261347408659716029346*x+4253512687511320746625234899096
# g(x) = 58996491148689402607*x-177172087534979713834368647

cado-nfs

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

40754873527651599978552401115185438944892957362679500820117479085378792731300822290542998642009705944433788930212597400472858973540673321526932114472088729236965119<164>

80338115040749346420368195220635582007882110305693388053492171185344089280263831041465903061888166598712832658875880015421409707288006371701707548387263562384895577361176991336441863<182>

100030123086493228970769270732200289918422696791423106974573117696126109999715038556138899280259935241332072519836220560126716564182362799382901908249461900576684977353<168>

678580779545006993618558082807559950098762767201347998492432949707043975368975831466007510889750897112785437587485388482870031891129821835428420978976923427975207637416973<171>

199596155705275524588041581790910826598437943040551368940802024892678582280588721080187516090059204207351387494775368385731225046666429592705582986822842481493966542247022330481865193350869859917699743<201>

16917038750238218524107975783776488393854223734091910629137327020608644594414628071337215966887020363437769716960556455728830006476193556311158503579<149>

206528579775553590759408652210641733549<39>
81911369209157063003501090305283179038000348993916932706505540946832884726518357295536650794364414894075898471<110>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1966189060
Step 1 took 5688ms
Step 2 took 2781ms
********** Factor found in step 2: 206528579775553590759408652210641733549
Found prime factor of 39 digits: 206528579775553590759408652210641733549
Prime cofactor 81911369209157063003501090305283179038000348993916932706505540946832884726518357295536650794364414894075898471 has 110 digits
 

GMP-ECM

416516181902011486694552507890663869869767909366966171499208298731683666774997086405254381288218317738055031513365091979846316941521111463089385023341542527<156>

877291910482754346260649717846544801633376629813601731523043429191833175909320537841330884241234981060567372077247409902288121782962524858898959904231676309179880405964298197026912048028879919510487196447607<207>

15212183553082797571197357698605785737779673819793659836030717<62>
54518703551705628762248898686529355474541211104006723754576387041<65>
1057808488836376778828941179113239117988115528149112423974158616786909364109000931<82>

Number: 65558_220
N = 877291910482754346260649717846544801633376629813601731523043429191833175909320537841330884241234981060567372077247409902288121782962524858898959904231676309179880405964298197026912048028879919510487196447607 (207 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=15212183553082797571197357698605785737779673819793659836030717 (pp62)
r2=54518703551705628762248898686529355474541211104006723754576387041 (pp65)
r3=1057808488836376778828941179113239117988115528149112423974158616786909364109000931 (pp82)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 36.95 hours.
Factorization parameters were as follows:
n: 877291910482754346260649717846544801633376629813601731523043429191833175909320537841330884241234981060567372077247409902288121782962524858898959904231676309179880405964298197026912048028879919510487196447607
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 59
c0: 22
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 0
Relations: 8148222 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 13.49 hours.
Total relation processing time: 0.42 hours.
Pruned matrix : 6962306 x 6962531
Matrix solve time: 22.50 hours.
time per square root: 0.54 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 36.95 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

889891643299985258887522542027450577730099112675757223232626545575603682047031445714784936631670882960530410753612831166209751076289889<135>

532364554387215492336961280174239614567337154555270951277053<60>
1671583196075677023074094412073333941653772180128722488019231958572154639413<76>

Number: 65558_221
N = 889891643299985258887522542027450577730099112675757223232626545575603682047031445714784936631670882960530410753612831166209751076289889 (135 digits)
Divisors found:
r1=532364554387215492336961280174239614567337154555270951277053 (pp60)
r2=1671583196075677023074094412073333941653772180128722488019231958572154639413 (pp76)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 23.31 hours.
Factorization parameters were as follows:
n: 889891643299985258887522542027450577730099112675757223232626545575603682047031445714784936631670882960530410753612831166209751076289889
# norm 5.599667e-13 alpha -5.769156 e 3.955e-11 rroots 5
skew: 1161126.77
c0: -629072935038912606296759198924227
c1: -350696538243231737041450131
c2: 7994560035544573931471
c3: 7867327147414815
c4: -6753420292
c5: 156
Y0: -355830419616441388682595312
Y1: 53631523822997
type: gnfs
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22372661
Relations: 3322828 relations
Pruned matrix : 1942395 x 1942625
Polynomial selection time: 0.36 hours.
Total sieving time: 21.22 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.50 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,9300000,9300000,28,28,55,55,2.5,2.5,100000
total time: 23.31 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

1973161706935499120318593672553752952572414853829669128433793422490512528955611426575068106846892677204857100991764498906043730396704412009894997664701021495265847705330024810013600359702881185679617<199>

1444441522800382413106740798990984672437772271683600808160064705019605578599573959427636668143643856373236409612264669981169552997441601604344067932966396684194064755906746296864010493543684913<193>

251000256717031844927804834371065553<36>

5754741216973299426508533484424701692227946138522672839219477472587836766748125246737109305594056176844349299706113917219811274748641811614352113656686401121<157>

Resuming ECM residue saved by @5cfcb9466ac7 with GMP-ECM 7.0.5-dev on Sat Feb  3 18:50:28 2024 
Input number is 1444441522800382413106740798990984672437772271683600808160064705019605578599573959427636668143643856373236409612264669981169552997441601604344067932966396684194064755906746296864010493543684913 (193 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2456056670
Step 1 took 0ms
Step 2 took 2520ms
********** Factor found in step 2: 251000256717031844927804834371065553
Found prime factor of 36 digits: 251000256717031844927804834371065553
Composite cofactor 5754741216973299426508533484424701692227946138522672839219477472587836766748125246737109305594056176844349299706113917219811274748641811614352113656686401121 has 157 digits

39022557683938447537147490717261066202099810442965555648151455144562041236922482681259780441894088810050094381677652508753619507575005985663509146490681545504932054451680152598042522682688402892695903160562612685902803407<221>

3774563082318664579205249237816838812801<40>
10338297925588622651343806891854260343147098339180786117106540068304034429389092444443205724548933961957578902366880759314663644047986942228400836013730366523049719665095645726473807<182>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2139725053
Step 1 took 9625ms
********** Factor found in step 1: 3774563082318664579205249237816838812801
Found prime factor of 40 digits: 3774563082318664579205249237816838812801
Prime cofactor 10338297925588622651343806891854260343147098339180786117106540068304034429389092444443205724548933961957578902366880759314663644047986942228400836013730366523049719665095645726473807 has 182 digits

GMP-ECM

327777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<228>

42014503164468032107391833215188037133316395785798861041818941104410959882906719180229223861638815393916237227037190641923824477589837554276970877136012221343469611789079<170>

9319739941589498210747600149328018419<37>
4508119693016067562235730514180837455824564596657358275805260006966792125312361531953305485198061677924241150216331397551912357368141<133>

Resuming ECM residue saved by @5cfcb9466ac7 with GMP-ECM 7.0.5-dev on Sat Feb  3 20:16:25 2024 
Input number is 42014503164468032107391833215188037133316395785798861041818941104410959882906719180229223861638815393916237227037190641923824477589837554276970877136012221343469611789079 (170 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3370121945
Step 1 took 1ms
Step 2 took 2142ms
********** Factor found in step 2: 9319739941589498210747600149328018419
Found prime factor of 37 digits: 9319739941589498210747600149328018419
Prime cofactor 4508119693016067562235730514180837455824564596657358275805260006966792125312361531953305485198061677924241150216331397551912357368141 has 133 digits

357440512835061476116180873408991956364728278914645610006131956008884399801332161111907490342723864004635960856226381620849372866004515396841209209861937640322480461475667091565276252673<186>

16968094805059598276041567805944815154176710916006780335646170933711117898349033134950421527738233489037172781795477513823245369579484595558270450724365091279722206404506725980223829302116640409258942904949334419291400857147623<227>

5662776488044824319178113155769030619503252315406373001450635775640595369314171215085189346858164958836057907954942165042220307323447467336905244164015337294727934494400119327346830732665117833605347806087483008538972478007<223>

254663734001667840376700546067665811187930597454643205151939278321277057000521132340028492457044097941143098120053308604462029706918932457867880313884581242159837281756422263973534627826933<189>

210408201467205086779161207869878490145941280866839315183473841375760295863419724971525655847591284558876923133630560433848730123203458175150860234508176169117475854631947482533119819315978652801983399169475105155882297927<222>

57955628770070487686946034620294025286641<41>

3630505024834866973655553735132783082414510222391533680699737185887965590559911681759651235049609503480630749459659222554433080059147516640004606336714999846068378581118503630993847<181>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1374897774
Step 1 took 7516ms
Step 2 took 3500ms
********** Factor found in step 2: 57955628770070487686946034620294025286641
Found prime factor of 41 digits: 57955628770070487686946034620294025286641
Composite cofactor 3630505024834866973655553735132783082414510222391533680699737185887965590559911681759651235049609503480630749459659222554433080059147516640004606336714999846068378581118503630993847 has 181 digits
 

GMP-ECM

5766774088545104242838953203084198480435467552592156651578594863330629052713541489142574132953577098751283161066071273257017459351304481596173384747973019094472438321686335800566911828503293003441556060109230626543996742007377<226>

247752348072854461855133101093994088930687165638935940349139778373704734051241431249715111152862201055376802002946186534138095581244916773761699595056799425714802712542903897255010734150258392977017078871057278909<213>

94733108064634802928751223222976767082234664906468799756865551073889551768672438235245406662791981556127613612122908376362385551592529966679297133803224619029098801211504847678535171331326023964538603287043290997552791245667597<227>

55781746135389012482504963589963295537019<41>

1698281510132474991991433662377131821812478754341758453591853743974535653138386769162950215102316575705926232118787165209971706617299845876850407715345041105859808030170080122071913296663<187>

Resuming ECM residue saved by @5cfcb9466ac7 with GMP-ECM 7.0.5-dev on Sat Feb  3 20:35:33 2024 
Input number is 94733108064634802928751223222976767082234664906468799756865551073889551768672438235245406662791981556127613612122908376362385551592529966679297133803224619029098801211504847678535171331326023964538603287043290997552791245667597 (227 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2589070355
Step 1 took 0ms
Step 2 took 3006ms
********** Factor found in step 2: 55781746135389012482504963589963295537019
Found prime factor of 41 digits: 55781746135389012482504963589963295537019
Composite cofactor 1698281510132474991991433662377131821812478754341758453591853743974535653138386769162950215102316575705926232118787165209971706617299845876850407715345041105859808030170080122071913296663 has 187 digits

11472108499586980117671397234563480275447442220623697820000856949882752321967012370808771907253603305378223158623595495287957003668237641458640911894921739917545884443438887<173>

219721854959381582987586392383803637<36>

52211959077569899655722483948124446258598848119029978504989015223084329886222036152624398063506652717893823738502434408017382097267998251<137>

GPU: factor 219721854959381582987586392383803637 found in Step 1 with curve 328 (-sigma 3:954640154)
Computing 1792 Step 1 took 186ms of CPU time / 178228ms of GPU time
Throughput: 10.055 curves per second (on average 99.46ms per Step 1)
********** Factor found in step 1: 219721854959381582987586392383803637
Found prime factor of 36 digits: 219721854959381582987586392383803637
Composite cofactor 52211959077569899655722483948124446258598848119029978504989015223084329886222036152624398063506652717893823738502434408017382097267998251 has 137 digits
Peak memory usage: 9467MB

52211959077569899655722483948124446258598848119029978504989015223084329886222036152624398063506652717893823738502434408017382097267998251<137>

7643556724153175159920122766274465346011462837304006027845167271<64>
6830846026507957883930056164594339486361665818127287521504443760414108381<73>

CADO:



STA:Thu 15 Feb 2024 12:28:01 AEDT (52211959077569899655722483948124446258598848119029978504989015223084329886222036152624398063506652717893823738502434408017382097267998251 - C137)



/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 52211959077569899655722483948124446258598848119029978504989015223084329886222036152624398063506652717893823738502434408017382097267998251 2>&1 | tee -a log-30



Debug:root: Looking for parameter file for c137 in directory /home/vboxuser/Math/cado-nfs/parameters/factor

Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c135

Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c135

Info:root: No database exists yet

Info:root: Created temporary directory /tmp/cado.giqh1mwy

Info:Database: Opened connection to database /tmp/cado.giqh1mwy/c135.db

Info:root: Set tasks.threads=30 based on --server-threads 30

Info:root: tasks.threads = 30 [via tasks.threads]

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

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

Info:root: tasks.linalg.bwc.threads = 30 [via tasks.threads]

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

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

Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 52211959077569899655722483948124446258598848119029978504989015223084329886222036152624398063506652717893823738502434408017382097267998251

Debug:root: Root parameter dictionary:

N = 52211959077569899655722483948124446258598848119029978504989015223084329886222036152624398063506652717893823738502434408017382097267998251

name = c135

===

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

n: 52211959077569899655722483948124446258598848119029978504989015223084329886222036152624398063506652717893823738502434408017382097267998251

skew: 81776.431

c0: -1370356583404614554096080091040

c1: -48222588894804631889454956

c2: 1480701238184283522315

c3: 19628862492899309

c4: -119919938960

c5: -119280

Y0: 176143407783901104714500578

Y1: 1700081719424789480443

# MurphyE (Bf=1.074e+09,Bg=5.369e+08,area=5.033e+13) = 1.604e-06

# f(x) = -119280*x^5-119919938960*x^4+19628862492899309*x^3+1480701238184283522315*x^2-48222588894804631889454956*x-1370356583404614554096080091040

# g(x) = 1700081719424789480443*x+176143407783901104714500578

===

Debug:Command: Process with PID 252296 finished successfully

Info:Square Root: finished

Info:Square Root: Factors: 6830846026507957883930056164594339486361665818127287521504443760414108381 7643556724153175159920122766274465346011462837304006027845167271

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

Info:Complete Factorization / Discrete logarithm: Square Root

Info:Square Root: Total cpu/real time for sqrt: 3086.88/398.375

Info:HTTP server: Got notification to stop serving Workunits

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

Info:Polynomial Selection (root optimized): Total time: 1859.89

Info:Polynomial Selection (root optimized): Rootsieve time: 1858.47

Info:Lattice Sieving: Aggregate statistics:

Info:Lattice Sieving: Total number of relations: 58358226

Info:Lattice Sieving: Average J: 3807.71 for 516837 special-q, max bucket fill -bkmult 1.0,1s:1.263220

Info:Lattice Sieving: Total time: 1.30071e+06s

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

Info:Polynomial Selection (size optimized): potential collisions: 63638.2

Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 43586/41.290/50.976/62.220/2.295

Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 36900/39.950/44.287/54.700/1.275

Info:Polynomial Selection (size optimized): Total time: 19594.7

Info:Square Root: Total cpu/real time for sqrt: 3086.88/398.375

Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1186.75/2093.45

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

Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1744.2s

Info:Quadratic Characters: Total cpu/real time for characters: 72.33/19.877

Info:Filtering - Singleton removal: Total cpu/real time for purge: 590.66/1131.49

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 394.61/2064.6

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

Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 2062.8s

Info:Filtering - Merging: Total cpu/real time for merge: 222.69/34.0257

Info:Filtering - Merging: Total cpu/real time for replay: 33.81/29.8755

Info:Generate Factor Base: Total cpu/real time for makefb: 5.62/1.67868

Info:Generate Free Relations: Total cpu/real time for freerel: 785.87/82.9029

Info:Linear Algebra: Total cpu/real time for bwc: 32817.3/10106.8

Info:Linear Algebra: Aggregate statistics:

Info:Linear Algebra: Krylov: CPU time 18696.47, WCT time 6155.68, iteration CPU time 0.03, COMM 0.06, cpu-wait 0.02, comm-wait 0.01 (54000 iterations)

Info:Linear Algebra: Lingen CPU time 387.42, WCT time 54.49

Info:Linear Algebra: Mksol: CPU time 11793.04,  WCT time 3425.27, iteration CPU time 0.05, COMM 0.06, cpu-wait 0.02, comm-wait 0.0 (27000 iterations)

Info:HTTP server: Shutting down HTTP server

Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 623428/103400 [1d 04:43:20]

Info:root: Cleaning up computation data in /tmp/cado.giqh1mwy

6830846026507957883930056164594339486361665818127287521504443760414108381 7643556724153175159920122766274465346011462837304006027845167271



END:Fri 16 Feb 2024 17:11:24 AEDT (52211959077569899655722483948124446258598848119029978504989015223084329886222036152624398063506652717893823738502434408017382097267998251 - C137)

233065097322893658556951308443790376724606451833851260913715232199051497707462119272430949992134990509484043444672343190276830490862675049848782119620418816703976413503507745664441613189281283572762556950751652410294107<219>

576318455623634936480315692656945949823<39>

404403320852693532509822283413226442273650869146255253998670835781406610516532227347553601407294646102874702464799865379819265935810352773609362068883326535811236941954277314735909<180>

GPU: factor 576318455623634936480315692656945949823 found in Step 1 with curve 884 (-sigma 3:-2027731391)
Computing 1792 Step 1 took 279ms of CPU time / 175376ms of GPU time
Throughput: 10.218 curves per second (on average 97.87ms per Step 1)
********** Factor found in step 1: 576318455623634936480315692656945949823
Found prime factor of 39 digits: 576318455623634936480315692656945949823
Composite cofactor 404403320852693532509822283413226442273650869146255253998670835781406610516532227347553601407294646102874702464799865379819265935810352773609362068883326535811236941954277314735909 has 180 digits
Peak memory usage: 9467MB

1041556332309430498181689792747943367581117819440031070154997705045369487695512481022490555379020583977685979592557285598277018677399992938601136885216961480069201708858524873777495321823253186456236980545846132118772728877590650707905236027257<244>

531150810883377447651377554977933880663294360418984764369975570276091974682536059505033283613777776135617036473011760225312984872403454215065138521002891403675952175929396522389470055929311<189>

19436544542521929274949397574876665874488219699392589014006879348033603601618245592322311772874967025320485846841387178090825415116175774352021123479525395927781011980917906668694932545412604399356769<200>

7000718913960435469969511030720057372756848339046314615617131517016686472594055057049352007844249206230585232642714727251781959460271044007962462050291066437718209598765628179467356924194616726833538151700838057071<214>

610152568613556052444308933401351815000401126317188131288582513553932052446514583410969723334052870701645301054857909452543957742079399852988279657411464486493165942340055706047340038916533157609<195>

7176620465324211928588942137201739808657<40>

85019483970438963652039284119515278707812050893109861962645330499272269350361728198011541526467532268011470247253625338134823809079888546775131642959678937<155>

Resuming ECM residue saved by @5cfcb9466ac7 with GMP-ECM 7.0.5-dev on Sat Feb  3 18:47:33 2024 
Input number is 610152568613556052444308933401351815000401126317188131288582513553932052446514583410969723334052870701645301054857909452543957742079399852988279657411464486493165942340055706047340038916533157609 (195 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2869747703
Step 1 took 0ms
Step 2 took 2619ms
********** Factor found in step 2: 7176620465324211928588942137201739808657
Found prime factor of 40 digits: 7176620465324211928588942137201739808657
Composite cofactor 85019483970438963652039284119515278707812050893109861962645330499272269350361728198011541526467532268011470247253625338134823809079888546775131642959678937 has 155 digits

2623778675826329743363820374572683416280666713511224963508945584778734511188740523227511121169554604412223452740711604819101287027951229651185535660105301305881044853399029820246310120833309649032324600683<205>

2888174232867897152918706668784311526027522286976679234163316564395113952741984146700786776691844767596935704947950378835759717132011919928817028118288173727015470798592533813133533934432471083217508045557094946183055921571<223>

435101980114419024513655185461947628025907751881368176685689335612161215727857156452364755007133972200173671741757584197510911320947267843942230536729383618956367191894550229531848037581412377<192>

4242894462886749665724194550259395288059<40>
102548386230278163657845050715681764556381957226230202430990530215633026427496347994441768992922740779221274375803437823455011005499013885399367141239803<153>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 435101980114419024513655185461947628025907751881368176685689335612161215727857156452364755007133972200173671741757584197510911320947267843942230536729383618956367191894550229531848037581412377 (192 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2647629355
Step 1 took 8010ms
Step 2 took 3952ms
** Factor found in step 2: 4242894462886749665724194550259395288059
Found prime factor of 40 digits: 4242894462886749665724194550259395288059
Prime cofactor 102548386230278163657845050715681764556381957226230202430990530215633026427496347994441768992922740779221274375803437823455011005499013885399367141239803 has 153 digits

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

107715339394603278927958520465914484974622996312118888523752145178369299302588819512907583890166867491875707452440939131704823456384415963778435023916456713039033117902654544126775477416292401504363384087340709095556285829042976594734728155694307518165553<255>

85927010975363587574595654576155692461207201647929874876015510552232521580047237645462748994516375254364929597731844872029112272206769958166356557137839557258966441435077028863136769396701530165222684299049556909115971131665191<227>

481034399999935911216169228877607758161232466463591313383471485348785853367854371524908178122254516030147882733239199633001216790132149920597471451136409401559531171098334323506698603208191022113418263819049735251842261438798134892305825861507460087<249>

51626677867030678497051154162510281584151484923260005950193381284891758982166920424913809698815211494373567140932080292609509809068794735828914439719290876953500988782135419401130536742444129434206611714880733623842774890183930977756777095255595806863723071<257>

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3358320576505429889781608397626372496383244518035113292073307634103119854567688451124366268451715341661966032645327961403084400600711083261792050137781377315002182115448604971982816057113872897145907504954738876606103<217>

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20927215191750030375449089014477824927789269066960342635043036117521290074517945553450498452247732545163784943799535704033083549805573463989962896173691354116705567498966368418688010827675485173709053691708395795710955132964820442299590419<239>

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2968908093668993564361606795004197024932496813155594913120565310554326433390448316671640390391349920525065861115264571682135963084063119044274412078767851981623276170274114284834000935770776239133477800121266053409632065349250734247990824085024081355835611<256>

5132448555126538912619531511307026557361349211331889297432886844929798551373189296009802240328082711987972153080763207621142848956776563556484953873898696975708872079093390533439217763267123105427427221690633206307347086596947302808931946982756568846353553787<259>

62893656995604969929263397377624453701964356522949543659614752685830982229855593391953206436958990628013632189493855513570308531336956477013722180723068546986603928218424596613408957519300197842125024445911678842558862759878989192759059666061118009159491086700270641<266>

1425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120773<274>

2666464793419622343603359054064168317648191159742934431379540988084694704846869808654016723122441687894449323172329424922505962039110086927507338792236373941033976617893468240804866489438002326835476352989<205>

224759916512764997151463358393242355251<39>

11863613560597595925411676646985016732453655507513030508561623200554800263126340600475713543016098668908006894248974178226539024987045047763533964649785800757651448239<167>

Resuming ECM residue saved by @5cfcb9466ac7 with GMP-ECM 7.0.5-dev on Sat Feb  3 18:53:24 2024 
Input number is 2666464793419622343603359054064168317648191159742934431379540988084694704846869808654016723122441687894449323172329424922505962039110086927507338792236373941033976617893468240804866489438002326835476352989 (205 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3171476121
Step 1 took 0ms
Step 2 took 2707ms
********** Factor found in step 2: 224759916512764997151463358393242355251
Found prime factor of 39 digits: 224759916512764997151463358393242355251
Composite cofactor 11863613560597595925411676646985016732453655507513030508561623200554800263126340600475713543016098668908006894248974178226539024987045047763533964649785800757651448239 has 167 digits

11863613560597595925411676646985016732453655507513030508561623200554800263126340600475713543016098668908006894248974178226539024987045047763533964649785800757651448239<167>

1376821542740211125867671201336619516433799<43>
8616667587134137613247517594063958234651626003174821770905923751358991275145539518308261922495793930652886278110743447313561<124>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1890498575
Step 1 took 23469ms
Step 2 took 10468ms
********** Factor found in step 2: 1376821542740211125867671201336619516433799
Found prime factor of 43 digits: 1376821542740211125867671201336619516433799
Prime cofactor 8616667587134137613247517594063958234651626003174821770905923751358991275145539518308261922495793930652886278110743447313561 has 124 digits

GMP-ECM

42056713003736056588395464504512437982710393239820279062341671528604940608979479638300801145659072782439769457035069664350107365241737453669021683051887012706439148359374284242741350208215700538137646801552957942581062699792757<227>

14777382250561256380958477153455351259772922162547724665199391253141736152516331245182551832956479668593476420301874652094076918200129892328087140490856869919954313477229535807157193428860989731980441444203694572215058811788394810918635079489615636093948812714849<263>

155993718637457286316381308901485805596637198186389314593328216653677440078228921703038157724347517230857232664041630162566728995077246297318812357910620007513291378596184541247324358452883297978763562142391184656500549603345937453545401769449<243>

4086642701192872222479152244740404650820429962404377933538308221300530617135779240697147794342231219984544054667158115463397793391785768775232847944938366277150838058419237984233884604301243985558733922007574274122673976926071034552571299624439666894200395803263<262>

12797485044277776220106941362998212193812048793047926465532591379217195965418481649431178007273671522521529919567314986525865720341182646621854091572100825480815272579003912940850371479459133673900274295745970110319476082175487044942971185797691068473388344405593540016019851<275>

26684085543000103122963948078820912213939<41>

479592415623733962750756244817324097050531748280663362163738219203526690869475449735406441984595631464373670760077934696243643855955099972620521635086896943910350990985647532654695836528531610535906644069323017881426827404748536529609<234>

Resuming ECM residue saved by @5cfcb9466ac7 with GMP-ECM 7.0.5-dev on Sat Feb  3 19:14:11 2024 
Input number is 12797485044277776220106941362998212193812048793047926465532591379217195965418481649431178007273671522521529919567314986525865720341182646621854091572100825480815272579003912940850371479459133673900274295745970110319476082175487044942971185797691068473388344405593540016019851 (275 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3152966280
Step 1 took 0ms
Step 2 took 3975ms
********** Factor found in step 2: 26684085543000103122963948078820912213939
Found prime factor of 41 digits: 26684085543000103122963948078820912213939
Composite cofactor 479592415623733962750756244817324097050531748280663362163738219203526690869475449735406441984595631464373670760077934696243643855955099972620521635086896943910350990985647532654695836528531610535906644069323017881426827404748536529609 has 234 digits

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1038992630864438139837122428410406953017736004457496586777291229741226652425712677111618872591597790250116644665556281869197637796724405469416497109638935628532731<163>

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