981481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481<105>

212538568077373265928989559526573364748188474710121<51>
4617898249527020489701482978396362986086708100607712161<55>

N=981481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481
  ( 105 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=212538568077373265928989559526573364748188474710121 (pp51)
 r2=4617898249527020489701482978396362986086708100607712161 (pp55)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.29 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 981481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481
m: 100000000000000000000000000
deg: 4
c4: 265
c0: -13
skew: 0.47
# Murphy_E = 1.776e-07
type: snfs
lss: 1
rlim: 420000
alim: 420000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 420000/420000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [210000, 350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 35730 x 35955
Total sieving time: 0.28 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,106.000,4,0,0,0,0,0,0,0,0,420000,420000,25,25,44,44,2.2,2.2,20000
total time: 0.29 hours.
 --------- CPU info (if available) ----------

41115925018988503336127692585499907329660407091305798533467381376197515889775846052902446117205955258662144299<110>

933157783536064438896107815047438549545527<42>
44061064210583703263090891527613468168128820441784305117706803787437<68>

Number: 1
N=41115925018988503336127692585499907329660407091305798533467381376197515889775846052902446117205955258662144299
  ( 110 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=933157783536064438896107815047438549545527 (pp42)
 r2=44061064210583703263090891527613468168128820441784305117706803787437 (pp68)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.02 hours.
Scaled time: 8.00 units (timescale=7.825).
Factorization parameters were as follows:
n: 41115925018988503336127692585499907329660407091305798533467381376197515889775846052902446117205955258662144299
m: 1000000000000000000000000000000
deg: 4
c4: 265
c0: -13
skew: 0.47
# Murphy_E = 3.209e-08
type: snfs
lss: 1
rlim: 770000
alim: 770000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 770000/770000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [385000, 685001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 77238 x 77463
Total sieving time: 1.01 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,122.000,4,0,0,0,0,0,0,0,0,770000,770000,25,25,46,46,2.2,2.2,75000
total time: 1.02 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

5257950621723622039143850434809977744065584803482739215865752265973323147926847752468454373575397<97>

18365521073064092812166999288511262322593549<44>
286294660565619803976677691644779385276997673814717753<54>

prp54 = 286294660565619803976677691644779385276997673814717753
prp44 = 18365521073064092812166999288511262322593549

Yafu

2722227677811276221713671759607344182805288073234100061710221414718511846744362901994839713912669384372622083<109>

21729580180643631942055215802678528455567439299739<50>
125277509053589254169643613779925513491314498434757875936697<60>

Number: 1
N=2722227677811276221713671759607344182805288073234100061710221414718511846744362901994839713912669384372622083
  ( 109 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=21729580180643631942055215802678528455567439299739 (pp50)
 r2=125277509053589254169643613779925513491314498434757875936697 (pp60)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.40 hours.
Scaled time: 17.63 units (timescale=7.337).
Factorization parameters were as follows:
n: 2722227677811276221713671759607344182805288073234100061710221414718511846744362901994839713912669384372622083
m: 1000000000000000000000000000000000
deg: 4
c4: 53
c0: -26
skew: 0.84
# Murphy_E = 9.803e-09
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1195001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 169012 x 169238
Total sieving time: 2.38 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,133.000,4,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,100000
total time: 2.40 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

41761115762703519355966910381693821587919841614312011702467433077708357914890792655975664549<92>

2196126434330312699386988363818688720033<40>
19015806699416267266724018447390218606228263500651653<53>

41761115762703519355966910381693821587919841614312011702467433077708357914890792655975664549=2196126434330312699386988363818688720033*19015806699416267266724018447390218606228263500651653

cado polynomial
n: 41761115762703519355966910381693821587919841614312011702467433077708357914890792655975664549
skew: 282984.269
c0: 5572104710534722957892341
c1: 122860429489647171567
c2: -275311438323133
c3: -720447255
c4: 2160
Y0: -20470208742448239190216
Y1: 547096037511659
# MurphyE (Bf=8.389e+06,Bg=8.389e+06,area=4.214e+11) = 3.196e-06
# f(x) = 2160*x^4-720447255*x^3-275311438323133*x^2+122860429489647171567*x+5572104710534722957892341
# g(x) = 547096037511659*x-20470208742448239190216

cado parameters (extracts)
tasks.lim0 = 404327
tasks.lim1 = 811066
tasks.lpb0 = 23
tasks.lpb1 = 23
tasks.sieve.mfb0 = 46
tasks.sieve.mfb1 = 46
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 19015806699416267266724018447390218606228263500651653 2196126434330312699386988363818688720033
Info:Square Root: Total cpu/real time for sqrt: 16.97/5.27459
Info:Filtering - Singleton removal: Total cpu/real time for purge: 6.18/7.09953
Info:Filtering - Merging: Merged matrix has 87099 rows and total weight 14833123 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 16.96/4.78172
Info:Filtering - Merging: Total cpu/real time for replay: 2.95/2.43716
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 1104242
Info:Lattice Sieving: Average J: 1024 for 32281 special-q, max bucket fill -bkmult 1.0,1s:1.376560
Info:Lattice Sieving: Total time: 1108.61s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 40.23
Info:Polynomial Selection (root optimized): Rootsieve time: 39.9
Info:Linear Algebra: Total cpu/real time for bwc: 105.06/28.69
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 57.24, WCT time 15.13, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2800 iterations)
Info:Linear Algebra: Lingen CPU time 9.71, WCT time 2.52
Info:Linear Algebra: Mksol: CPU time 31.95,  WCT time 8.69, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1400 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 2285.08
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2377/29.900/34.657/37.620/0.741
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 1453/29.540/33.429/36.300/1.132
Info:Polynomial Selection (size optimized): Total time: 37.41
Info:Generate Factor Base: Total cpu/real time for makefb: 0.58/0.208432
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 9.68/11.066
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 6.800000000000001s
Info:Generate Free Relations: Total cpu/real time for freerel: 6.4/2.12534
Info:Square Root: Total cpu/real time for sqrt: 16.97/5.27459
Info:Quadratic Characters: Total cpu/real time for characters: 2.94/1.19369
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 4.22/4.26639
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 4.0s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2170.49/663.367
Info:root: Cleaning up computation data in /tmp/cado.8feyq2xl
19015806699416267266724018447390218606228263500651653 2196126434330312699386988363818688720033

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)

158738716073343276966113776723513097441611108116040996519728526844813437082562102778826052317884761682270981963687769930694077548355407<135>

19785629287730168180086424756125711612078858948166077<53>
8022929863129664371588979363882107622198755679222153925271208264523064412407351291<82>

Number: n
N=158738716073343276966113776723513097441611108116040996519728526844813437082562102778826052317884761682270981963687769930694077548355407  ( 135 digits)
SNFS difficulty: 139 digits.
Divisors found:

Sat Sep 10 21:06:10 2022  p53 factor: 19785629287730168180086424756125711612078858948166077
Sat Sep 10 21:06:10 2022  p82 factor: 8022929863129664371588979363882107622198755679222153925271208264523064412407351291
Sat Sep 10 21:06:10 2022  elapsed time 00:02:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.300).
Factorization parameters were as follows:
#
# N = 53x10^138-26 = 58(137)6
#
n: 158738716073343276966113776723513097441611108116040996519728526844813437082562102778826052317884761682270981963687769930694077548355407
m: 10000000000000000000000000000000000
deg: 4
c4: 2650
c0: -13
skew: 0.26
# Murphy_E = 3.941e-09
type: snfs
lss: 1
rlim: 1480000
alim: 1480000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1480000/1480000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6340000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 392241 hash collisions in 6012133 relations (6299680 unique)
Msieve: matrix is 226241 x 226466 (76.5 MB)

Sieving start time : 2022/09/10 20:47:21
Sieving end time  : 2022/09/10 21:03:03

Total sieving time: 0hrs 15min 42secs.

Total relation processing time: 0hrs 1min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 8sec.

Prototype def-par.txt line would be:
snfs,139,4,0,0,0,0,0,0,0,0,1480000,1480000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

110550746186576501456050180160187643170371604370338769852573838325394201601804329255535277151668234793896246682262792068560455303933<132>

1177052004734276880906162552836937863940421082399303<52>
93921717767715516742982515035367292427380580593411022836198722032779390830317211<80>

Number: 1
N=110550746186576501456050180160187643170371604370338769852573838325394201601804329255535277151668234793896246682262792068560455303933
  ( 132 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=1177052004734276880906162552836937863940421082399303 (pp52)
 r2=93921717767715516742982515035367292427380580593411022836198722032779390830317211 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.05 hours.
Scaled time: 46.83 units (timescale=7.740).
Factorization parameters were as follows:
n: 110550746186576501456050180160187643170371604370338769852573838325394201601804329255535277151668234793896246682262792068560455303933
m: 100000000000000000000000000000000000
deg: 4
c4: 265
c0: -13
skew: 0.47
# Murphy_E = 3.369e-09
type: snfs
lss: 1
rlim: 1660000
alim: 1660000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1660000/1660000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [830000, 1430001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 282667 x 282899
Total sieving time: 6.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,142.000,4,0,0,0,0,0,0,0,0,1660000,1660000,26,26,48,48,2.3,2.3,100000
total time: 6.05 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

1221551102990152692366543613157399471623518102367099218823582356535454110568722151012574196474212888406295329223147<115>

435847573658728914508492782035501689<36>
2802702542854199829677620083434464502904380601278731753489049243065513199918723<79>

Number: 1
N=1221551102990152692366543613157399471623518102367099218823582356535454110568722151012574196474212888406295329223147
  ( 115 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=435847573658728914508492782035501689 (pp36)
 r2=2802702542854199829677620083434464502904380601278731753489049243065513199918723 (pp79)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.01 hours.
Scaled time: 69.80 units (timescale=7.746).
Factorization parameters were as follows:
n: 1221551102990152692366543613157399471623518102367099218823582356535454110568722151012574196474212888406295329223147
m: 1000000000000000000000000000000000000
deg: 4
c4: 265
c0: -13
skew: 0.47
# Murphy_E = 2.117e-09
type: snfs
lss: 1
rlim: 1930000
alim: 1930000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1930000/1930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [965000, 1865001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 293163 x 293388
Total sieving time: 8.96 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,146.000,4,0,0,0,0,0,0,0,0,1930000,1930000,26,26,49,49,2.3,2.3,100000
total time: 9.01 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

2566493897623248051018385103773919668296724183496213401302042025835302628231766607184569890460571<97>

108091578296849883019686600378920614646973463<45>
23743698982495507518725852401088612132207341048965917<53>

prp53 = 23743698982495507518725852401088612132207341048965917
prp45 = 108091578296849883019686600378920614646973463

Yafu

22911987601549466289668777754619966959705926444858403227450549288185864406011425002960528093842763<98>

1659556787717185339783282584484603786515159221<46>
13806088331009273344567918837547248477620058995183103<53>

prp46 = 1659556787717185339783282584484603786515159221
prp53 = 13806088331009273344567918837547248477620058995183103

Yafu

2766210345244588244977721495855833554691274510985000421493272128099820652349184529069406875070241217953<103>

16881724712243657923170942186359407325959723<44>
163858278250347462318272843236364694054871132640004491207011<60>

2766210345244588244977721495855833554691274510985000421493272128099820652349184529069406875070241217953=16881724712243657923170942186359407325959723*163858278250347462318272843236364694054871132640004491207011

cado polynomial
n: 2766210345244588244977721495855833554691274510985000421493272128099820652349184529069406875070241217953
skew: 8784.15
c0: -510231671905235143665312
c1: 4214569348398198846
c2: 2873656637790347
c3: 1275213248534
c4: -56458600
c5: -12600
Y0: -64122260277645229087
Y1: 193704491413493
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 4.218e-06
# f(x) = -12600*x^5-56458600*x^4+1275213248534*x^3+2873656637790347*x^2+4214569348398198846*x-510231671905235143665312
# g(x) = 193704491413493*x-64122260277645229087

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

cado log (extracts)
Info:Square Root: Factors: 163858278250347462318272843236364694054871132640004491207011 16881724712243657923170942186359407325959723
Info:Square Root: Total cpu/real time for sqrt: 45.84/13.8678
Info:Filtering - Singleton removal: Total cpu/real time for purge: 19.11/19.8421
Info:Filtering - Merging: Merged matrix has 176687 rows and total weight 25833971 (146.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 23.32/6.99474
Info:Filtering - Merging: Total cpu/real time for replay: 5.39/4.36834
Info:Generate Factor Base: Total cpu/real time for makefb: 1.51/0.424784
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4648726
Info:Lattice Sieving: Average J: 1904.91 for 33035 special-q, max bucket fill -bkmult 1.0,1s:1.301700
Info:Lattice Sieving: Total time: 3440.11s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 137.11
Info:Polynomial Selection (root optimized): Rootsieve time: 136.51
Info:Linear Algebra: Total cpu/real time for bwc: 391.52/102.58
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 228.72, WCT time 58.92, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5632 iterations)
Info:Linear Algebra: Lingen CPU time 24.13, WCT time 6.17
Info:Linear Algebra: Mksol: CPU time 125.51,  WCT time 32.46, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2816 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9365/29.550/36.135/42.430/1.073
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7026/28.100/32.098/36.590/0.889
Info:Polynomial Selection (size optimized): Total time: 527.68
Info:Generate Free Relations: Total cpu/real time for freerel: 62.97/16.5195
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 39.95/36.8756
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 28.9s
Info:Square Root: Total cpu/real time for sqrt: 45.84/13.8678
Info:Quadratic Characters: Total cpu/real time for characters: 6.32/2.46745
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.71/17.2425
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 17.2s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 7418.52/2203.43
Info:root: Cleaning up computation data in /tmp/cado.imntzj3h
163858278250347462318272843236364694054871132640004491207011 16881724712243657923170942186359407325959723

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)

294444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<153>

461710033166566483340250018716477253088248590320624703<54>
637725895677516465548474179817502984041714962239583200653450681637943143919466733549899711243564581<99>

Number: n
N=294444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443  ( 153 digits)
SNFS difficulty: 153 digits.
Divisors found:

Mon Sep 12 09:31:24 2022  p54 factor: 461710033166566483340250018716477253088248590320624703
Mon Sep 12 09:31:24 2022  p99 factor: 637725895677516465548474179817502984041714962239583200653450681637943143919466733549899711243564581
Mon Sep 12 09:31:24 2022  elapsed time 00:06:04 (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 = 53x10^152-26 = 58(151)6
#
n: 294444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 100000000000000000000000000000000000000
deg: 4
c4: 53
c0: -26
skew: 0.84
# Murphy_E = 9.629e-10
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1586910 hash collisions in 13925361 relations (13689300 unique)
Msieve: matrix is 366498 x 366724 (123.4 MB)

Sieving start time : 2022/09/12 08:59:42
Sieving end time  : 2022/09/12 09:25:03

Total sieving time: 0hrs 25min 21secs.

Total relation processing time: 0hrs 2min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 25sec.

Prototype def-par.txt line would be:
snfs,153,4,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

78864937488332267302581144349944309896397036284219128091809477155492649310172409437316497472657012806692684536907958942651652461052840784836359317<146>

16512851296030283797401653479321691614457855321<47>
4775973335827927308774042039608743750081288393379619367391489816916560813184398058138246635705867677<100>

Number: n
N=78864937488332267302581144349944309896397036284219128091809477155492649310172409437316497472657012806692684536907958942651652461052840784836359317  ( 146 digits)
SNFS difficulty: 154 digits.
Divisors found:

Mon Sep 12 15:23:33 2022  p47 factor: 16512851296030283797401653479321691614457855321
Mon Sep 12 15:23:33 2022  p100 factor: 4775973335827927308774042039608743750081288393379619367391489816916560813184398058138246635705867677
Mon Sep 12 15:23:33 2022  elapsed time 00:09:02 (Msieve 1.54 - dependency 15)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 53x10^153-26 = 58(152)6
#
n: 78864937488332267302581144349944309896397036284219128091809477155492649310172409437316497472657012806692684536907958942651652461052840784836359317
m: 100000000000000000000000000000000000000
deg: 4
c4: 265
c0: -13
skew: 0.47
# Murphy_E = 8.248e-10
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1422609 hash collisions in 13506060 relations (13432686 unique)
Msieve: matrix is 410133 x 410359 (137.4 MB)

Sieving start time : 2022/09/12 14:26:30
Sieving end time  : 2022/09/12 15:13:53

Total sieving time: 0hrs 47min 23secs.

Total relation processing time: 0hrs 2min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 33sec.

Prototype def-par.txt line would be:
snfs,154,4,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

29444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<155>

60898536915928028884423927542868842330748757671590223945143781283343885523<74>
483500030306035841660919463224500228097260298854635337246770284446100718784006041<81>

Number: n
N=29444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443  ( 155 digits)
SNFS difficulty: 156 digits.
Divisors found:

Mon Sep 12 04:28:48 2022  p74 factor: 60898536915928028884423927542868842330748757671590223945143781283343885523
Mon Sep 12 04:28:48 2022  p81 factor: 483500030306035841660919463224500228097260298854635337246770284446100718784006041
Mon Sep 12 04:28:48 2022  elapsed time 00:06:34 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 53x10^154-26 = 58(153)6
#
n: 29444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 5000000000000000000000000000000
deg: 5
c5: 424
c0: -65
skew: 0.69
# Murphy_E = 6.668e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 28600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1150765 hash collisions in 12651417 relations (12297521 unique)
Msieve: matrix is 437541 x 437767 (146.8 MB)

Sieving start time : 2022/09/12 01:57:41
Sieving end time  : 2022/09/12 04:21:17

Total sieving time: 2hrs 23min 36secs.

Total relation processing time: 0hrs 2min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 49sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1050869408284413902772276780811076046207282210469797772061278395107014066438151098291635773572065665401230164513301639724552653766091696431<139>

211888091070581816519791175623068939550194171161<48>
4959549179827949427043446457550051294240539297833153432176025621262338412235027953016904071<91>

Number: n
N=1050869408284413902772276780811076046207282210469797772061278395107014066438151098291635773572065665401230164513301639724552653766091696431  ( 139 digits)
SNFS difficulty: 157 digits.
Divisors found:

Thu Sep 15 14:35:27 2022  p48 factor: 211888091070581816519791175623068939550194171161
Thu Sep 15 14:35:27 2022  p91 factor: 4959549179827949427043446457550051294240539297833153432176025621262338412235027953016904071
Thu Sep 15 14:35:27 2022  elapsed time 00:07:23 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 53x10^156-26 = 58(155)6
#
n: 1050869408284413902772276780811076046207282210469797772061278395107014066438151098291635773572065665401230164513301639724552653766091696431
m: 10000000000000000000000000000000
deg: 5
c5: 265
c0: -13
skew: 0.55
# Murphy_E = 6.797e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1445092 hash collisions in 13824980 relations (13227546 unique)
Msieve: matrix is 389234 x 389463 (130.7 MB)

Sieving start time : 2022/09/15 14:10:11
Sieving end time  : 2022/09/15 14:27:45

Total sieving time: 0hrs 17min 34secs.

Total relation processing time: 0hrs 2min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 13sec.

Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

5600997611650075032232156067042884619449200008454336017585018916576839346479825840678037748610318517109462515587682032422378627438547545072178893750132099<154>

225404180590670279600884823226188609397387085828318925254237613215961<69>
24848685578824203586968037597797651004418658570650795109645404530204593782689421846459<86>

Number: n
N=5600997611650075032232156067042884619449200008454336017585018916576839346479825840678037748610318517109462515587682032422378627438547545072178893750132099  ( 154 digits)
SNFS difficulty: 158 digits.
Divisors found:

Mon Sep 12 08:53:42 2022  p69 factor: 225404180590670279600884823226188609397387085828318925254237613215961
Mon Sep 12 08:53:42 2022  p86 factor: 24848685578824203586968037597797651004418658570650795109645404530204593782689421846459
Mon Sep 12 08:53:42 2022  elapsed time 00:06:09 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 53x10^157-26 = 58(156)6
#
n: 5600997611650075032232156067042884619449200008454336017585018916576839346479825840678037748610318517109462515587682032422378627438547545072178893750132099
m: 10000000000000000000000000000000
deg: 5
c5: 2650
c0: -13
skew: 0.35
# Murphy_E = 5.335e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1530900 hash collisions in 13640804 relations (12914654 unique)
Msieve: matrix is 427499 x 427728 (143.7 MB)

Sieving start time : 2022/09/12 08:18:34
Sieving end time  : 2022/09/12 08:47:16

Total sieving time: 0hrs 28min 42secs.

Total relation processing time: 0hrs 2min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 24sec.

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

14814137556069238272334830913963637934209546052512463519783928251527595691184192659728650217806408347440504838177093049729336341<128>

6682958563722546793275648305318853542190886427<46>
2216703487656738636535147519742148411106762841900720216423348421384064881154832783<82>

Number: 1
N=14814137556069238272334830913963637934209546052512463519783928251527595691184192659728650217806408347440504838177093049729336341
  ( 128 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=6682958563722546793275648305318853542190886427 (pp46)
 r2=2216703487656738636535147519742148411106762841900720216423348421384064881154832783 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 18.71 hours.
Scaled time: 138.70 units (timescale=7.413).
Factorization parameters were as follows:
n: 14814137556069238272334830913963637934209546052512463519783928251527595691184192659728650217806408347440504838177093049729336341
m: 10000000000000000000000000000000
deg: 5
c5: 26500
c0: -13
skew: 0.22
# Murphy_E = 4.447e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 3200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 595332 x 595558
Total sieving time: 18.58 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 18.71 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

4310837655421990961005897945618304076010895355768658610227907244988525839755317999884357903296022019033927950298186890481488125044025919121793329<145>

32186369851730518171748222574817759753464699061<47>
133933639465409186681008465747837846330404274607397817842308821642837056712617872157042753138302989<99>

Number: n
N=4310837655421990961005897945618304076010895355768658610227907244988525839755317999884357903296022019033927950298186890481488125044025919121793329  ( 145 digits)
SNFS difficulty: 161 digits.
Divisors found:

Mon Sep 12 18:47:54 2022  p47 factor: 32186369851730518171748222574817759753464699061
Mon Sep 12 18:47:54 2022  p99 factor: 133933639465409186681008465747837846330404274607397817842308821642837056712617872157042753138302989
Mon Sep 12 18:47:54 2022  elapsed time 00:09:56 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 53x10^160-26 = 58(159)6
#
n: 4310837655421990961005897945618304076010895355768658610227907244988525839755317999884357903296022019033927950298186890481488125044025919121793329
m: 100000000000000000000000000000000
deg: 5
c5: 53
c0: -26
skew: 0.87
# Murphy_E = 4.496e-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, 14550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1135832 hash collisions in 12735012 relations (12414245 unique)
Msieve: matrix is 544629 x 544855 (187.4 MB)

Sieving start time : 2022/09/12 17:12:52
Sieving end time  : 2022/09/12 18:37:27

Total sieving time: 1hrs 24min 35secs.

Total relation processing time: 0hrs 4min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 36sec.

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) ----------

1549852749162108873565968699674669436044213791845505366142232014596279585009901021453170005936454128845026915559665998550854911<127>

1008153310582228371418283367528464468977<40>
1537318513854840608412116562742998703290951419211438536568252301193239049423109579765743<88>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1549852749162108873565968699674669436044213791845505366142232014596279585009901021453170005936454128845026915559665998550854911 (127 digits)
Using B1=20300000, B2=70272629710, polynomial Dickson(12), sigma=1:2811037489
Step 1 took 27328ms
Step 2 took 12189ms
********** Factor found in step 2: 1008153310582228371418283367528464468977
Found prime factor of 40 digits: 1008153310582228371418283367528464468977
Prime cofactor 1537318513854840608412116562742998703290951419211438536568252301193239049423109579765743 has 88 digits

546544173348117794826715842580372109795148422161553847744532091182281586768864675074317983222008130872176668614788157557086225427706425402122560193<147>

8625485512421329006502186484014343914406648221052829<52>
63363873553674662636685201871894680247817567263304471148651642829317253537966103480284160204917<95>

Number: n
N=546544173348117794826715842580372109795148422161553847744532091182281586768864675074317983222008130872176668614788157557086225427706425402122560193  ( 147 digits)
SNFS difficulty: 171 digits.
Divisors found:

Wed Sep 14 18:33:34 2022  p52 factor: 8625485512421329006502186484014343914406648221052829
Wed Sep 14 18:33:34 2022  p95 factor: 63363873553674662636685201871894680247817567263304471148651642829317253537966103480284160204917
Wed Sep 14 18:33:34 2022  elapsed time 00:14:25 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 53x10^169-26 = 58(168)6
#
n: 546544173348117794826715842580372109795148422161553847744532091182281586768864675074317983222008130872176668614788157557086225427706425402122560193
m: 5000000000000000000000000000000000
deg: 5
c5: 424
c0: -65
skew: 0.69
# Murphy_E = 1.734e-10
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1627954 hash collisions in 13139302 relations (12240436 unique)
Msieve: matrix is 757089 x 757314 (262.6 MB)

Sieving start time : 2022/09/14 17:27:34
Sieving end time  : 2022/09/14 18:18:49

Total sieving time: 0hrs 51min 15secs.

Total relation processing time: 0hrs 8min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 39sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6330908202344025011404479509409893694109909899149518730673880384403994532575252953239083386862936886721782010806103267968454269414734094237<139>

3532028227058330102860181392662517710942850796743753742713841<61>
1792428541154881452828601756723684953528878941175711857613881173431860188533357<79>

Number: n
N=6330908202344025011404479509409893694109909899149518730673880384403994532575252953239083386862936886721782010806103267968454269414734094237  ( 139 digits)
SNFS difficulty: 171 digits.
Divisors found:

Thu Sep 15 04:53:23 2022  p61 factor: 3532028227058330102860181392662517710942850796743753742713841
Thu Sep 15 04:53:23 2022  p79 factor: 1792428541154881452828601756723684953528878941175711857613881173431860188533357
Thu Sep 15 04:53:23 2022  elapsed time 00:13:16 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 53x10^170-26 = 58(169)6
#
n: 6330908202344025011404479509409893694109909899149518730673880384403994532575252953239083386862936886721782010806103267968454269414734094237
m: 10000000000000000000000000000000000
deg: 5
c5: 53
c0: -26
skew: 0.87
# Murphy_E = 1.819e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1757469 hash collisions in 13762650 relations (12761542 unique)
Msieve: matrix is 746538 x 746765 (258.1 MB)

Sieving start time : 2022/09/15 03:43:58
Sieving end time  : 2022/09/15 04:39:50

Total sieving time: 0hrs 55min 52secs.

Total relation processing time: 0hrs 8min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 26sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

851516485912261295704483831616253456475388286773113304611134094473058710048847561969752897720717358382118270786778597454043159461688965567631282709809194100559<159>

69765620336124201347265993137138314639<38>
141700263860415856982480789910954323813<39>
86135254539838765791160611733417483164282759807959409553114165133980053846623979437<83>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 851516485912261295704483831616253456475388286773113304611134094473058710048847561969752897720717358382118270786778597454043159461688965567631282709809194100559 (159 digits)
Using B1=19670000, B2=70271979970, polynomial Dickson(12), sigma=1:61520864
Step 1 took 45871ms
********** Factor found in step 1: 69765620336124201347265993137138314639
Found prime factor of 38 digits: 69765620336124201347265993137138314639
Composite cofactor 12205388295979235941502352447533023334354135256217474792942280319180667958010482298415416729923185876864212593903551433281 has 122 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 12205388295979235941502352447533023334354135256217474792942280319180667958010482298415416729923185876864212593903551433281 (122 digits)
Using B1=21990000, B2=96186870796, polynomial Dickson(12), sigma=1:3350898087
Step 1 took 33921ms
********** Factor found in step 1: 141700263860415856982480789910954323813
Found prime factor of 39 digits: 141700263860415856982480789910954323813
Prime cofactor 86135254539838765791160611733417483164282759807959409553114165133980053846623979437 has 83 digits

294444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<174>

1072139316048830795117314566592929363251271549559015310940959121101<67>
274632634058756888790554212281305294488143942668140210077428871292325779931766201691015913346145704580427143<108>

Number: n
N=294444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443  ( 174 digits)
SNFS difficulty: 174 digits.
Divisors found:

Tue Sep 13 04:49:46 2022  p67 factor: 1072139316048830795117314566592929363251271549559015310940959121101
Tue Sep 13 04:49:46 2022  p108 factor: 274632634058756888790554212281305294488143942668140210077428871292325779931766201691015913346145704580427143
Tue Sep 13 04:49:46 2022  elapsed time 00:19:42 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 53x10^173-26 = 58(172)6
#
n: 294444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 10000000000000000000000000000000000
deg: 5
c5: 26500
c0: -13
skew: 0.22
# Murphy_E = 1.147e-10
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1609167 hash collisions in 12836905 relations (11932559 unique)
Msieve: matrix is 959337 x 959562 (333.3 MB)

Sieving start time : 2022/09/13 02:40:07
Sieving end time  : 2022/09/13 04:29:49

Total sieving time: 1hrs 49min 42secs.

Total relation processing time: 0hrs 15min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 21sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1114543870809696042540797229714641402603923075512445020602040641568197093463491126873129987796733395980307998384760375891654059095574567150272274373673212959<157>

159641827436644742380945297727450610930902357696270267866900067<63>
6981527890940815875125009209799560211594972120907998119870884181117346561989310635477977043477<94>

Number: n
N=1114543870809696042540797229714641402603923075512445020602040641568197093463491126873129987796733395980307998384760375891654059095574567150272274373673212959  ( 157 digits)
SNFS difficulty: 176 digits.
Divisors found:

Fri Sep 16 21:26:37 2022  p63 factor: 159641827436644742380945297727450610930902357696270267866900067
Fri Sep 16 21:26:37 2022  p94 factor: 6981527890940815875125009209799560211594972120907998119870884181117346561989310635477977043477
Fri Sep 16 21:26:37 2022  elapsed time 00:19:54 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 53x10^174-26 = 58(173)6
#
n: 1114543870809696042540797229714641402603923075512445020602040641568197093463491126873129987796733395980307998384760375891654059095574567150272274373673212959
m: 50000000000000000000000000000000000
deg: 5
c5: 424
c0: -65
skew: 0.69
# Murphy_E = 1.096e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 29200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1659727 hash collisions in 12785465 relations (11810892 unique)
Msieve: matrix is 990797 x 991022 (343.2 MB)

Sieving start time : 2022/09/16 18:37:59
Sieving end time  : 2022/09/16 21:06:28

Total sieving time: 2hrs 28min 29secs.

Total relation processing time: 0hrs 15min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 8sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

4289776043361371832357509147396166231828505482919394720598363691823599871266813419676176065909711102988860771814720292842757565739464276916104857982970934216507<160>

39875904784260012967879127688032615646192943925164868291<56>
107578149425581197326354301608580897991054332392219032005603455850864948110858581574277650970210805019177<105>

Number: n
N=4289776043361371832357509147396166231828505482919394720598363691823599871266813419676176065909711102988860771814720292842757565739464276916104857982970934216507  ( 160 digits)
SNFS difficulty: 176 digits.
Divisors found:

Thu Sep 15 23:30:46 2022  p56 factor: 39875904784260012967879127688032615646192943925164868291
Thu Sep 15 23:30:46 2022  p105 factor: 107578149425581197326354301608580897991054332392219032005603455850864948110858581574277650970210805019177
Thu Sep 15 23:30:46 2022  elapsed time 00:17:41 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 53x10^175-26 = 58(174)6
#
n: 4289776043361371832357509147396166231828505482919394720598363691823599871266813419676176065909711102988860771814720292842757565739464276916104857982970934216507
m: 100000000000000000000000000000000000
deg: 5
c5: 53
c0: -26
skew: 0.87
# Murphy_E = 1.148e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 22100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1990269 hash collisions in 13345282 relations (11995192 unique)
Msieve: matrix is 868911 x 869136 (302.3 MB)

Sieving start time : 2022/09/15 21:52:52
Sieving end time  : 2022/09/15 23:12:47

Total sieving time: 1hrs 19min 55secs.

Total relation processing time: 0hrs 11min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 51sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

5670013327888613447969926239264948870796376043753764242221614255337242770239829422214026358226945588412336513600564849787<121>

7862270524008194032651360436809380839041619344429<49>
721167417296910118200544644641647721077014510511529292475796604974738503<72>

5670013327888613447969926239264948870796376043753764242221614255337242770239829422214026358226945588412336513600564849787=7862270524008194032651360436809380839041619344429*721167417296910118200544644641647721077014510511529292475796604974738503

cado polynomial
n: 5670013327888613447969926239264948870796376043753764242221614255337242770239829422214026358226945588412336513600564849787
skew: 37355.993
c0: -6766243864991964452087774555
c1: -255989721560136436246447
c2: 16114757082664466796
c3: -435111558246269
c4: -6534231745
c5: 127500
Y0: -186545755457761467869988
Y1: 56122264655835623
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.354e-06
# f(x) = 127500*x^5-6534231745*x^4-435111558246269*x^3+16114757082664466796*x^2-255989721560136436246447*x-6766243864991964452087774555
# g(x) = 56122264655835623*x-186545755457761467869988

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

cado log (extracts)
Info:Square Root: Factors: 7862270524008194032651360436809380839041619344429 721167417296910118200544644641647721077014510511529292475796604974738503
Info:Square Root: Total cpu/real time for sqrt: 239/71.7008
Info:Filtering - Merging: Merged matrix has 780782 rows and total weight 79598128 (101.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 59.94/19.7555
Info:Filtering - Merging: Total cpu/real time for replay: 19.69/15.593
Info:Generate Factor Base: Total cpu/real time for makefb: 4.94/1.36276
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13431419
Info:Lattice Sieving: Average J: 1904.65 for 275769 special-q, max bucket fill -bkmult 1.0,1s:1.273180
Info:Lattice Sieving: Total time: 33285.1s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2122.81
Info:Polynomial Selection (root optimized): Rootsieve time: 2120.29
Info:Linear Algebra: Total cpu/real time for bwc: 5993.18/1558.22
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3666.4, WCT time 950.47, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24576 iterations)
Info:Linear Algebra: Lingen CPU time 143.54, WCT time 36.46
Info:Linear Algebra: Mksol: CPU time 2102.76,  WCT time 542.74, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19921/35.710/43.198/48.030/1.029
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15963/34.100/38.244/43.690/0.863
Info:Polynomial Selection (size optimized): Total time: 2314.5
Info:Generate Free Relations: Total cpu/real time for freerel: 129.23/33.6399
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 132.25/111.345
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 101.1s
Info:Quadratic Characters: Total cpu/real time for characters: 25.68/9.96471
Info:Square Root: Total cpu/real time for sqrt: 239/71.7008
Info:Filtering - Singleton removal: Total cpu/real time for purge: 44.8/51.7163
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 55.86/55.6484
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 55.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 72854.8/20006.5
Info:root: Cleaning up computation data in /tmp/cado.owzrz4m3
7862270524008194032651360436809380839041619344429 721167417296910118200544644641647721077014510511529292475796604974738503

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)

29444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<179>

159317786442337448663297320761424856753<39>
2174980549255398612523075033073610494510413<43>
84973542350284207361395967633395897719553209362178272218473700230810763875001762624080818027141687<98>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 29444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443 (179 digits)
Using B1=16590000, B2=58559116990, polynomial Dickson(12), sigma=1:140796395
Step 1 took 44788ms
Step 2 took 17997ms
********** Factor found in step 2: 2174980549255398612523075033073610494510413
Found prime factor of 43 digits: 2174980549255398612523075033073610494510413
Composite cofactor 13537796673411496314689868768173983419606955524740215010372234081549814031249975104345514711775226937425928926468790501990259090009762311 has 137 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 13537796673411496314689868768173983419606955524740215010372234081549814031249975104345514711775226937425928926468790501990259090009762311 (137 digits)
Using B1=17360000, B2=58559766730, polynomial Dickson(12), sigma=1:387636486
Step 1 took 32847ms
Step 2 took 14250ms
********** Factor found in step 2: 159317786442337448663297320761424856753
Found prime factor of 39 digits: 159317786442337448663297320761424856753
Prime cofactor 84973542350284207361395967633395897719553209362178272218473700230810763875001762624080818027141687 has 98 digits

2769752063185670080171436411347852926535467173080570972571645565829712648685264814234013225039457433161339180649282679369310577<127>

136361909234700142514776921467631389895243<42>
20311772391060425864688087267125086619258982670171521729917525935534336265786867682739<86>

2769752063185670080171436411347852926535467173080570972571645565829712648685264814234013225039457433161339180649282679369310577=136361909234700142514776921467631389895243*20311772391060425864688087267125086619258982670171521729917525935534336265786867682739

cado polynomial
n: 2769752063185670080171436411347852926535467173080570972571645565829712648685264814234013225039457433161339180649282679369310577
skew: 19392.636
c0: -2648841946758916289635814168
c1: 1234535183795176251229472
c2: -61406103295104379903
c3: -14114733144282683
c4: 116550606690
c5: 1571400
Y0: -2210972715583058148046223
Y1: 24649467619300849
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.143e-07
# f(x) = 1571400*x^5+116550606690*x^4-14114733144282683*x^3-61406103295104379903*x^2+1234535183795176251229472*x-2648841946758916289635814168
# g(x) = 24649467619300849*x-2210972715583058148046223

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.sieve.ncurves0 = 14
tasks.sieve.ncurves1 = 16
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 136361909234700142514776921467631389895243 20311772391060425864688087267125086619258982670171521729917525935534336265786867682739
Info:Square Root: Total cpu/real time for sqrt: 880.66/253.867
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12238025
Info:Lattice Sieving: Average J: 3786.43 for 255725 special-q, max bucket fill -bkmult 1.0,1s:1.193420
Info:Lattice Sieving: Total time: 74940.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2950.82
Info:Polynomial Selection (root optimized): Rootsieve time: 2948.42
Info:Linear Algebra: Total cpu/real time for bwc: 10008.8/2572.62
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6294.17, WCT time 1609.99, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25600 iterations)
Info:Linear Algebra: Lingen CPU time 148.65, WCT time 37.77
Info:Linear Algebra: Mksol: CPU time 3437.78,  WCT time 878.42, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
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): 20246/38.100/45.058/48.440/0.874
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16034/37.130/40.459/45.860/1.049
Info:Polynomial Selection (size optimized): Total time: 1963
Info:Generate Free Relations: Total cpu/real time for freerel: 126.39/33.0279
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 202.37/199.07
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 163.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.59/2.36735
Info:Quadratic Characters: Total cpu/real time for characters: 30.16/12.0709
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.96/55.9885
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 55.400000000000006s
Info:Square Root: Total cpu/real time for sqrt: 880.66/253.867
Info:Filtering - Singleton removal: Total cpu/real time for purge: 141.21/161.985
Info:Filtering - Merging: Merged matrix has 815138 rows and total weight 138627711 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 173.48/49.5176
Info:Filtering - Merging: Total cpu/real time for replay: 30.16/24.9325
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 155681/42149.6
Info:root: Cleaning up computation data in /tmp/cado.uniwptot
136361909234700142514776921467631389895243 20311772391060425864688087267125086619258982670171521729917525935534336265786867682739

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)

5111326500978841464041331382561258973624767875081453541206729619383107394155045761282778876522256304082237331709667639780320215546322252201152771911256566183<157>

5452039172165230461843376604282728992732312895851652938187122083899958867<73>
937507295815873991407950843719201639489050596753695771660238916284072620422777085149<84>

Number: n
N=5111326500978841464041331382561258973624767875081453541206729619383107394155045761282778876522256304082237331709667639780320215546322252201152771911256566183  ( 157 digits)
SNFS difficulty: 182 digits.
Divisors found:

Mon Oct  3 23:11:08 2022  p73 factor: 5452039172165230461843376604282728992732312895851652938187122083899958867
Mon Oct  3 23:11:08 2022  p84 factor: 937507295815873991407950843719201639489050596753695771660238916284072620422777085149
Mon Oct  3 23:11:08 2022  elapsed time 00:15:31 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 53x10^181-26 = 58(180)6
#
n: 5111326500978841464041331382561258973624767875081453541206729619383107394155045761282778876522256304082237331709667639780320215546322252201152771911256566183
m: 1000000000000000000000000000000000000
deg: 5
c5: 265
c0: -13
skew: 0.55
# Murphy_E = 6.976e-11
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 8450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1592818 hash collisions in 12442074 relations (11522863 unique)
Msieve: matrix is 851661 x 851888 (296.3 MB)

Sieving start time : 2022/10/03 20:19:29
Sieving end time  : 2022/10/03 22:55:20

Total sieving time: 2hrs 35min 51secs.

Total relation processing time: 0hrs 11min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 0sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

9769444177133227767481911264264585391744382542008820265040495447841420842214956089043508270171064307573515037728388655262672702621104798921966620327965747843211768536701<169>

132351982387472043398204096390470543861<39>
73814112950211222307481043442588881585323998054201561021885973949145799709041948545070300326330186322900488525150186263185438254441<131>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1465916392
Step 1 took 7187ms
Step 2 took 3891ms
********** Factor found in step 2: 132351982387472043398204096390470543861
Found prime factor of 39 digits: 132351982387472043398204096390470543861
Prime cofactor 73814112950211222307481043442588881585323998054201561021885973949145799709041948545070300326330186322900488525150186263185438254441 has 131 digits
 

GMP-ECM

76198240560191096254555389259222503850561349645354270015389711290667194257481412044389614350961650496369786381334531233430442675018133402227344511936042541998676237<164>

723943826222145238841238661997875156063<39>

105254355103526143478709668034634004003981121723619727259452019989332759888998455048345828453053169076887939961765605854702099<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4162962949
Step 1 took 4422ms
********** Factor found in step 2: 723943826222145238841238661997875156063
Found prime factor of 39 digits: 723943826222145238841238661997875156063
Composite cofactor 105254355103526143478709668034634004003981121723619727259452019989332759888998455048345828453053169076887939961765605854702099 has 126 digits
 

GMP-ECM

105254355103526143478709668034634004003981121723619727259452019989332759888998455048345828453053169076887939961765605854702099<126>

124393709981137490610973970660162625112067108351<48>
846138885314108294923972075424036045057243401785633517414364489484001353427949<78>

Number: n
N=105254355103526143478709668034634004003981121723619727259452019989332759888998455048345828453053169076887939961765605854702099  ( 126 digits)
Divisors found:

Fri Sep 16 23:32:54 2022  p48 factor: 124393709981137490610973970660162625112067108351
Fri Sep 16 23:32:54 2022  p78 factor: 846138885314108294923972075424036045057243401785633517414364489484001353427949
Fri Sep 16 23:32:54 2022  elapsed time 00:11:47 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.309).
Factorization parameters were as follows:
#
# Polynomial selection complete    n = 58(184)6   c126 = 1052...099
#

n: 105254355103526143478709668034634004003981121723619727259452019989332759888998455048345828453053169076887939961765605854702099 

type: gnfs

Y0: -3113055574961751883115897
Y1: 13883806599289
c0: -391256122936740005219863529721240
c1: 3792244240232804173805370486
c2: -2342113335352788397767
c3: -2719537315289810
c4: 595621406
c5: 360
  
# skew 1686802.32, size 4.814e-12, alpha -7.196, combined = 1.467e-10 rroots = 5

skew: 1686802.32

rlim: 2400000
alim: 2400000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved  special-q in [100000, 21200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 997750 hash collisions in 6640928 relations (5807282 unique)
Msieve: matrix is 686961 x 687186 (243.4 MB)

Sieving start time : 2022/09/16 21:28:32
Sieving end time  : 2022/09/16 23:20:55

Total sieving time: 1hrs 52min 23secs.

Total relation processing time: 0hrs 6min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 0sec.

Prototype def-par.txt line would be:
gnfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,26,26,50,50,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

210750610484422356315563884267857265748401478159283859543588410129545519948476647149747733441809792032686956300964924359350951393218013927<138>

1169687346103760395773230866182632458293287506951<49>
180176874774643524680622658642257635267215638555717844281477671760246513127873357847263777<90>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 210750610484422356315563884267857265748401478159283859543588410129545519948476647149747733441809792032686956300964924359350951393218013927 (138 digits)
Using B1=24470000, B2=96189633556, polynomial Dickson(12), sigma=1:2461848325
Step 1 took 49646ms
Step 2 took 17098ms
********** Factor found in step 2: 1169687346103760395773230866182632458293287506951
Found prime factor of 49 digits: 1169687346103760395773230866182632458293287506951
Prime cofactor 180176874774643524680622658642257635267215638555717844281477671760246513127873357847263777 has 90 digits

6833997917124826272271918895528118191402790372217651420201579945845931189815232211421462756344194131810270880745618326264439234615665958367953819667915943<154>

7249918182163786357747511531432582054519348038050760784410499<61>
942631040159569647334322801589085165662430076868753943764747342987851467377037807432734732557<93>

6833997917124826272271918895528118191402790372217651420201579945845931189815232211421462756344194131810270880745618326264439234615665958367953819667915943=7249918182163786357747511531432582054519348038050760784410499*942631040159569647334322801589085165662430076868753943764747342987851467377037807432734732557

cado polynomial
n: 6833997917124826272271918895528118191402790372217651420201579945845931189815232211421462756344194131810270880745618326264439234615665958367953819667915943
skew: 0.35
type: snfs
c0: -13
c5: 2650
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 2650*x^5-13
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9700000
tasks.lim1 = 9700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 942631040159569647334322801589085165662430076868753943764747342987851467377037807432734732557 7249918182163786357747511531432582054519348038050760784410499
Info:Square Root: Total cpu/real time for sqrt: 603.39/189.729
Info:Generate Free Relations: Total cpu/real time for freerel: 119.38/31.4552
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 439.65/442.149
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 359.20000000000005s
Info:Square Root: Total cpu/real time for sqrt: 603.39/189.729
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 108.57/119.256
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 118.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 333.67/383.848
Info:Filtering - Merging: Merged matrix has 1991665 rows and total weight 339745348 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 551.28/151.755
Info:Filtering - Merging: Total cpu/real time for replay: 75.5/64.828
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25592160
Info:Lattice Sieving: Average J: 1894.3 for 2222606 special-q, max bucket fill -bkmult 1.0,1s:1.149460
Info:Lattice Sieving: Total time: 562681s
Info:Linear Algebra: Total cpu/real time for bwc: 66546.9/17079.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 42671.98, WCT time 10888.8, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (62464 iterations)
Info:Linear Algebra: Lingen CPU time 408.45, WCT time 103.72
Info:Linear Algebra: Mksol: CPU time 23083.97,  WCT time 5930.12, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (31232 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 69.77/29.9931
Info:Generate Factor Base: Total cpu/real time for makefb: 4.12/2.10874
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.16174e+06/64931.1
Info:root: Cleaning up computation data in /tmp/cado.5lb4in95
942631040159569647334322801589085165662430076868753943764747342987851467377037807432734732557 7249918182163786357747511531432582054519348038050760784410499

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)

243947344195894320169382306913375678910061677253060848752646598545521494982969713707079075761760103102273773359108901776673110558777501610973027708736076590260517352480898462671453557949<186>

131509745927389925339951480895559612759319848282199<51>
1854975404869113067935530314609225853298672132024692000334844274414833958811597820338373391067366305036450916013302137230124508948074251<136>

Number: n
N=243947344195894320169382306913375678910061677253060848752646598545521494982969713707079075761760103102273773359108901776673110558777501610973027708736076590260517352480898462671453557949  ( 186 digits)
SNFS difficulty: 189 digits.
Divisors found:

Fri Sep 16 11:44:02 2022  p51 factor: 131509745927389925339951480895559612759319848282199
Fri Sep 16 11:44:02 2022  p136 factor: 1854975404869113067935530314609225853298672132024692000334844274414833958811597820338373391067366305036450916013302137230124508948074251
Fri Sep 16 11:44:02 2022  elapsed time 00:48:08 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.338).
Factorization parameters were as follows:
#
# N = 53x10^188-26 = 58(187)6
#
n: 243947344195894320169382306913375678910061677253060848752646598545521494982969713707079075761760103102273773359108901776673110558777501610973027708736076590260517352480898462671453557949
m: 10000000000000000000000000000000000000
deg: 5
c5: 26500
c0: -13
skew: 0.22
# Murphy_E = 2.84e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3556609 hash collisions in 28454963 relations (26469576 unique)
Msieve: matrix is 1291936 x 1292162 (449.2 MB)

Sieving start time : 2022/09/16 05:23:21
Sieving end time  : 2022/09/16 10:55:21

Total sieving time: 5hrs 32min 0secs.

Total relation processing time: 0hrs 30min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 16sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

46008721668401886259969328341995493280175147631419911685600445284603307864358808773702095017080443139429138666437140225877532667288620025150749<143>

632238912487677950279638848272938584118231<42>
72771100860228332407449656989008260704264331692891802051778800748195153831858710783363919476801345579<101>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4258672257
Step 1 took 5907ms
Step 2 took 3359ms
********** Factor found in step 2: 632238912487677950279638848272938584118231
Found prime factor of 42 digits: 632238912487677950279638848272938584118231
Prime cofactor 72771100860228332407449656989008260704264331692891802051778800748195153831858710783363919476801345579 has 101 digits
 

GMP-ECM

117359372978599480253979011254589053505982616185508335522456623125412537739903266623155920040612429614918314767841672477111950516822921251467469560388721989260113939664369<171>

42551445293889871861137787936558735880779<41>
2747636751668197702812815417084722563194641892748159103807<58>
1003792965677848310529158395454644560815410963275285926108196037068168973<73>

Number: n
N=117359372978599480253979011254589053505982616185508335522456623125412537739903266623155920040612429614918314767841672477111950516822921251467469560388721989260113939664369  ( 171 digits)
SNFS difficulty: 192 digits.
Divisors found:

Tue Sep 20 15:26:55 2022  found factor: 42551445293889871861137787936558735880779
Tue Sep 20 15:28:55 2022  found factor: 42551445293889871861137787936558735880779
Tue Sep 20 15:32:54 2022  p41 factor: 42551445293889871861137787936558735880779
Tue Sep 20 15:32:54 2022  p58 factor: 2747636751668197702812815417084722563194641892748159103807
Tue Sep 20 15:32:54 2022  p73 factor: 1003792965677848310529158395454644560815410963275285926108196037068168973
Tue Sep 20 15:32:54 2022  elapsed time 00:55:20 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 53x10^191-26 = 58(190)6
#
n: 117359372978599480253979011254589053505982616185508335522456623125412537739903266623155920040612429614918314767841672477111950516822921251467469560388721989260113939664369
m: 100000000000000000000000000000000000000
deg: 5
c5: 265
c0: -13
skew: 0.55
# Murphy_E = 2.719e-11
type: snfs
lss: 1
rlim: 11300000
alim: 11300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11300000/11300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3269281 hash collisions in 28115320 relations (26463239 unique)
Msieve: matrix is 1467180 x 1467405 (511.6 MB)

Sieving start time : 2022/09/20 10:02:30
Sieving end time  : 2022/09/20 14:37:04

Total sieving time: 4hrs 34min 34secs.

Total relation processing time: 0hrs 39min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 0sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11300000,11300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

124986798985052418608444998244885207531995584420695379565038252340272283740410031938475788565974003367137479838345985165714825100245989187198269229840030108839125123<165>

31503250848691671726472330771112280405231862678805643652787<59>
3967425443975827449880831557128842573637974564313778733500688655004170646406224193601472053150711580978929<106>

Number: n
N=124986798985052418608444998244885207531995584420695379565038252340272283740410031938475788565974003367137479838345985165714825100245989187198269229840030108839125123  ( 165 digits)
SNFS difficulty: 194 digits.
Divisors found:

Sat Sep 24 14:44:41 2022  p59 factor: 31503250848691671726472330771112280405231862678805643652787
Sat Sep 24 14:44:41 2022  p106 factor: 3967425443975827449880831557128842573637974564313778733500688655004170646406224193601472053150711580978929
Sat Sep 24 14:44:41 2022  elapsed time 00:56:11 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 53x10^193-26 = 58(192)6
#
n: 124986798985052418608444998244885207531995584420695379565038252340272283740410031938475788565974003367137479838345985165714825100245989187198269229840030108839125123
m: 100000000000000000000000000000000
deg: 6
c6: 265
c0: -13
skew: 0.61
# Murphy_E = 1.792e-11
type: snfs
lss: 1
rlim: 12200000
alim: 12200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3950221 hash collisions in 29590904 relations (27702933 unique)
Msieve: matrix is 1541109 x 1541334 (537.1 MB)

Sieving start time : 2022/09/24 05:53:29
Sieving end time  : 2022/09/24 13:47:57

Total sieving time: 7hrs 54min 28secs.

Total relation processing time: 0hrs 45min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 32sec.

Prototype def-par.txt line would be:
snfs,194,6,0,0,0,0,0,0,0,0,12200000,12200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

271282335471185076466549199636192460120743745681508941286107727122808084636785249397908174987213967145824585273757765973226887243344443189071837337<147>

10611683955898438348115052025477765475397353813447<50>
25564494438264388954188233470766303809231075011121677707117193917447750581844438772422666679475871<98>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 271282335471185076466549199636192460120743745681508941286107727122808084636785249397908174987213967145824585273757765973226887243344443189071837337 (147 digits)
Using B1=66890000, B2=388135833550, polynomial Dickson(30), sigma=1:3876082737
Step 1 took 121318ms
Step 2 took 45002ms
********** Factor found in step 2: 10611683955898438348115052025477765475397353813447
Found prime factor of 50 digits: 10611683955898438348115052025477765475397353813447
Prime cofactor 25564494438264388954188233470766303809231075011121677707117193917447750581844438772422666679475871 has 98 digits

2282036176028158753274396717789821870633219166732457967033126071738115392582950395998410655024171260010742458642336640968122782195934768388340684310469832975725823<163>

1728196333501580188319378654334855475836767<43>
28338324602237214816613966543044731175222194081254527817<56>
46596712222522955439949362511675396204965653025555021305819693657<65>

umber: n
N=1320472756358889797198346309549803770979612557780983452742647026696214861716634072857304726684973648545177420239124956769  ( 121 digits)
Divisors found:

Sun Sep 25 00:37:34 2022  p56 factor: 28338324602237214816613966543044731175222194081254527817
Sun Sep 25 00:37:34 2022  p65 factor: 46596712222522955439949362511675396204965653025555021305819693657
Sun Sep 25 00:37:34 2022  elapsed time 00:09:24 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# 53x10^195-26 = 58(194)6
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 2282036176028158753274396717789821870633219166732457967033126071738115392582950395998410655024171260010742458642336640968122782195934768388340684310469832975725823 (163 digits)
# Using B1=22930000, B2=96188942866, polynomial Dickson(12), sigma=1:118017248
# Step 1 took 54168ms
# Step 2 took 19270ms
# ********** Factor found in step 2: 1728196333501580188319378654334855475836767
# Found prime factor of 43 digits: 1728196333501580188319378654334855475836767
# Composite cofactor 1320472756358889797198346309549803770979612557780983452742647026696214861716634072857304726684973648545177420239124956769 has 121 digits
#

n: 1320472756358889797198346309549803770979612557780983452742647026696214861716634072857304726684973648545177420239124956769
Y0: -374212746905951169803100
Y1: 90581457162733
c0: -22038974813355398044317871359667
c1: 104878570130912668738116754
c2: 105142525423880369773
c3: -406707214623814
c4: -232635786
c5: 180

# skew 813508.93, size 1.666e-11, alpha -6.790, combined = 2.943e-10 rroots = 5

skew: 813508.93
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 621483 hash collisions in 5647570 relations (5200269 unique)
Msieve: matrix is 515824 x 516049 (183.7 MB)

Sieving start time : 2022/09/25 00:04:41
Sieving end time  : 2022/09/25 00:27:58

Total sieving time: 0hrs 23min 17secs.

Total relation processing time: 0hrs 4min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 22sec.

Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

24185588739939118862364795576304401517443749573028103970006281749081058348837441583674768993957548944947604871288474612403664837387970382460891892245517841970626001003388143032637633677<185>

871700521616902695884632486335639077983284319458647<51>
55430588474780910171495885612331163023942897956550291429<56>
500541243925558511766509355760956438640699836688530858714190938459375603240479<78>

Number: n
N=24185588739939118862364795576304401517443749573028103970006281749081058348837441583674768993957548944947604871288474612403664837387970382460891892245517841970626001003388143032637633677  ( 185 digits)
SNFS difficulty: 199 digits.
Divisors found:

Sat Oct  1 11:08:23 2022  found factor: 871700521616902695884632486335639077983284319458647
Sat Oct  1 11:11:20 2022  p51 factor: 871700521616902695884632486335639077983284319458647
Sat Oct  1 11:11:20 2022  p56 factor: 55430588474780910171495885612331163023942897956550291429
Sat Oct  1 11:11:20 2022  p78 factor: 500541243925558511766509355760956438640699836688530858714190938459375603240479
Sat Oct  1 11:11:20 2022  elapsed time 01:26:32 (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 = 53x10^198-26 = 58(197)6
#
n: 24185588739939118862364795576304401517443749573028103970006281749081058348837441583674768993957548944947604871288474612403664837387970382460891892245517841970626001003388143032637633677
m: 1000000000000000000000000000000000
deg: 6
c6: 53
c0: -26
skew: 0.89
# Murphy_E = 1.245e-11
type: snfs
lss: 1
rlim: 14900000
alim: 14900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14900000/14900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3730208 hash collisions in 27976653 relations (26200520 unique)
Msieve: matrix is 1913269 x 1913494 (665.2 MB)

Sieving start time : 2022/10/01 00:38:50
Sieving end time  : 2022/10/01 09:44:17

Total sieving time: 9hrs 5min 27secs.

Total relation processing time: 1hrs 12min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 54sec.

Prototype def-par.txt line would be:
snfs,199,6,0,0,0,0,0,0,0,0,14900000,14900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

294444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<201>

26589064501854721550002197098463746352846915799<47>
794720144710808452727715946670385943809590341427019634287366863574454493<72>
13934329797473333193480888162342418970520709780072887423939091516351919906958162049<83>

Number: 58886_200
N = 294444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443 (201 digits)
SNFS difficulty: 202 digits.
Divisors found:
r1=26589064501854721550002197098463746352846915799 (pp47)
r2=794720144710808452727715946670385943809590341427019634287366863574454493 (pp72)
r3=13934329797473333193480888162342418970520709780072887423939091516351919906958162049 (pp83)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 69.25 hours.
Factorization parameters were as follows:
n: 294444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 10000000000000000000000000000000000000000
deg: 5
c5: 53
c0: -26
skew: 0.87
# Murphy_E = 1.08e-11
type: snfs
lss: 1
rlim: 16100000
alim: 16100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16100000/16100000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 38872853
Relations: 6226348 relations
Pruned matrix : 3655489 x 3655715
Total sieving time: 61.69 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 6.14 hours.
time per square root: 1.14 hours.
Prototype def-par.txt line would be: snfs,202,5,0,0,0,0,0,0,0,0,16100000,16100000,29,29,56,56,2.6,2.6,100000
total time: 69.25 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

2266995276277565181878498165151753846782421552970175739907318846902190831733379469267884832001754446969257817988037512689535145627757023820594622403462716562427219761119555187571<178>

849941891606930120134772460326912359<36>

2667235605944194548630672858038187609918623139754058557813597696787379419237161611862938168600864314297636101335622690065784313816859440757269<142>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3639496913
Step 1 took 5391ms
********** Factor found in step 2: 849941891606930120134772460326912359
Found prime factor of 36 digits: 849941891606930120134772460326912359
Composite cofactor 2667235605944194548630672858038187609918623139754058557813597696787379419237161611862938168600864314297636101335622690065784313816859440757269 has 142 digits

GMP-ECM

2667235605944194548630672858038187609918623139754058557813597696787379419237161611862938168600864314297636101335622690065784313816859440757269<142>

33479798950152439623490858785704762181762660658519074714307<59>
79667013828709092025117534458925469291824274005815317239707025966410227219904324167<83>

2667235605944194548630672858038187609918623139754058557813597696787379419237161611862938168600864314297636101335622690065784313816859440757269=33479798950152439623490858785704762181762660658519074714307*79667013828709092025117534458925469291824274005815317239707025966410227219904324167

cado polynomial
n: 2667235605944194548630672858038187609918623139754058557813597696787379419237161611862938168600864314297636101335622690065784313816859440757269
skew: 310090.015
c0: 190211148225382298540011302463668
c1: -3792669611535622849655723175
c2: -38318493780019427360804
c3: 73723151573694661
c4: 126751158942
c5: 114240
Y0: -2137643689257478142012061374
Y1: 86915042688505172273
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.005e-07
# f(x) = 114240*x^5+126751158942*x^4+73723151573694661*x^3-38318493780019427360804*x^2-3792669611535622849655723175*x+190211148225382298540011302463668
# g(x) = 86915042688505172273*x-2137643689257478142012061374

cado parameters (extracts)
tasks.lim0 = 9457107
tasks.lim1 = 12662444
tasks.lpb0 = 28
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 79667013828709092025117534458925469291824274005815317239707025966410227219904324167 33479798950152439623490858785704762181762660658519074714307
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2640.88/1099.81
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Singleton removal: Total cpu/real time for purge: 393.48/475.726
Info:Filtering - Merging: Merged matrix has 2153150 rows and total weight 366751924 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 544.01/265.571
Info:Filtering - Merging: Total cpu/real time for replay: 71.39/70.9443
Info:Generate Factor Base: Total cpu/real time for makefb: 4.81/4.52054
Info:Generate Free Relations: Total cpu/real time for freerel: 223/100.871
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 594.92/652.1
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 502.40000000000003s
Info:Linear Algebra: Total cpu/real time for bwc: 52911.8/35328.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 33693.41, WCT time 22223.92, iteration CPU time 0.2, COMM 0.04, cpu-wait 0.08, comm-wait 0.01 (67584 iterations)
Info:Linear Algebra: Lingen CPU time 198.66, WCT time 201.41
Info:Linear Algebra: Mksol: CPU time 18641.03,  WCT time 12653.93, iteration CPU time 0.26, COMM 0.04, cpu-wait 0.07, comm-wait 0.0 (33792 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 35018431
Info:Lattice Sieving: Average J: 3788.26 for 1292504 special-q, max bucket fill -bkmult 1.0,1s:1.186020
Info:Lattice Sieving: Total time: 733140s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5786.63
Info:Polynomial Selection (root optimized): Rootsieve time: 5784.42
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 69931.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 48361/42.590/50.927/55.750/0.914
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39746/41.750/45.513/51.620/1.080
Info:Polynomial Selection (size optimized): Total time: 16875.7
Info:Square Root: Total cpu/real time for sqrt: 2640.88/1099.81
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 151.24/297.22
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 296.09999999999997s
Info:Quadratic Characters: Total cpu/real time for characters: 72.66/48.008
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 774897/100669
Info:root: Cleaning up computation data in /tmp/cado.v8ot8703
79667013828709092025117534458925469291824274005815317239707025966410227219904324167 33479798950152439623490858785704762181762660658519074714307

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

96320616854653828107057408554662889481809601018873698582036397154402458808415779907636486336709302584624684497598650456009931262163169175890321939793319313797763125502261653027310570291296520925122231<200>

99331967258920517520307281253906484877309025715330234581906200056869100450218965833885388911915352643818215234008537600721174454377534125806666389790495811295546273<164>

3536268517860592937689834229822619660184434024573919679595298306330003200807436916295088539407983555311237762356593963871522532545616071271284900629<148>

7648807653724596934325138261986531678999<40>

462329382297723533122878088240055545374140694691295295486541068696893818043819146172134305235904585400008371<108>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1159709867
Step 1 took 22125ms
Step 2 took 11000ms
********** Factor found in step 2: 7648807653724596934325138261986531678999
Found prime factor of 40 digits: 7648807653724596934325138261986531678999
Composite cofactor 462329382297723533122878088240055545374140694691295295486541068696893818043819146172134305235904585400008371 has 108 digits
 

GMP-ECM

462329382297723533122878088240055545374140694691295295486541068696893818043819146172134305235904585400008371<108>

3665898815244381908787153060501014650708949021<46>
126116242045514015411451765454156556260900381095236579967662351<63>

N=462329382297723533122878088240055545374140694691295295486541068696893818043819146172134305235904585400008371
  ( 108 digits)
Divisors found:
 r1=3665898815244381908787153060501014650708949021 (pp46)
 r2=126116242045514015411451765454156556260900381095236579967662351 (pp63)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 6.70 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 462329382297723533122878088240055545374140694691295295486541068696893818043819146172134305235904585400008371
skew: 1429025.55
c0: 18195824114910589294910508930
c1: -70112968901300318645907
c2: -96361389933919518
c3: 93369694502
c4: 20580
Y0: -68845562324451132798026249
Y1: 81001147077313
rlim: 2920000
alim: 2920000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2920000/2920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1460000, 2360001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 367350 x 367576
Total sieving time: 6.55 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,107,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2920000,2920000,26,26,52,52,2.5,2.5,150000
total time: 6.70 hours.
 --------- CPU info (if available) ----------

6264775413711583924349881796690307328605200945626477541371158392434988179669030732860520094562647754137115839243498817966903073286052009456264775413711583924349881796690307328605200945626477541371158392434988179669<214>

6587124036788466318667660949540144171016654238130748197862291822023365647526721352224707929405915983097191150882426050211285110613969674372358936117325379070345513298533432761620681083768332090479741486452895848869<214>

72981642348166713371750660845195248445526931215928319305152664369445062847497039915169296521148906518062084079374285080404427165365146115167490960702498752945311243012488977<173>

236554550499358998382559678172866554333806575005769404074002054431970426207686374309229299055155013356689298920782699658669637520177887420659754552979<150>

59135368534793282307557160974144459496448738022995539631815594933877797714675925597984974947599028600840852410505314850494009248087453785338499303619333882432231611314280265262759455539626473328055677981946966799433<215>

427817964767084154924699856805070000105647305508480819711391834110493669161938080628930707117582622799022410785124439916156279822591479663225910447176524096019780371601257383416613386552324112455710314912067032256597<216>

3965234444949569839721667937335389037212438810625746550421766473293586052582378102984896781379607195896664466762931082554138118899351519940360186087604450059154231646419449142198382383251298960508159174663972661803307<217>

27592704224557465173590064521837627081679904575082923900262263174368100182371238356374537088198348929810244495110844119015481906299340896344600248618550996156277568626043417811807910418604083558563016525765051542959491<218>

2507570363507234292160077504233064742383652579413479063716446909977385319479204264545751201312786199759574771001789900536454203600969537691771931348185103081504314576192138539<175>

294444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<231>

883001289793219877868425653910964350472271045671000523997589437000720413529245919756441896849374663539668275536900919772532346201627377234886139919743754867676018903487671500388628643534807097532819221253219039221790083157<222>

229720083344683027882640460580996104323692042975515449782082201477625387712306519153464762872587137687919952630182330250982579093811127436209978614368018755470234576939428185695268204582327<189>

528450433835164857418331477382150867473444457617317650604978627273829113800023043737748487404815259965002367934549959246684406513508290073023107583686932206362290453830813679658608205453799637949321<198>

167993795408284424124110411380136972477<39>

3145654472243115483670802326694716383810200480769359208030052741767759573336825740421642646421220983801663183492592947574063094364812198339597505309979193360573<160>

Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Tue Nov 21 10:28:18 2023
Input number is 528450433835164857418331477382150867473444457617317650604978627273829113800023043737748487404815259965002367934549959246684406513508290073023107583686932206362290453830813679658608205453799637949321 (198 digits)
Using mpz_mod
Using lmax = 33554432 with NTT which takes about 9600MB of memory
Using B1=4000000000-4000000000, B2=8344907294582686, polynomial x^1
P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 3
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.81    0.53    0.28    0.12    0.045   0.015   0.0045  0.0012  0.00031 7.3e-05
Step 1 took 0ms
Computing F from factored S_1 took 176033ms
Computing h took 20544ms
Computing DCT-I of h took 53798ms
Multi-point evaluation 1 of 5:
Computing g_i took 68134ms
Computing g*h took 110170ms
Computing gcd of coefficients and N took 23449ms
Step 2 took 453608ms
********** Factor found in step 2: 167993795408284424124110411380136972477
Found prime factor of 39 digits: 167993795408284424124110411380136972477
Composite cofactor 3145654472243115483670802326694716383810200480769359208030052741767759573336825740421642646421220983801663183492592947574063094364812198339597505309979193360573 has 160 digits

1080 TI for stage 1

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697751197793204771867854964624318254434650992680553836398633849380079503009524154741762788422085915072304409549852802524483086282827181271830951654184701205233050642992762013471405965454687704782941442941058207367000324846443147<228>

66511055894385462942047536581080741912004618126145119594408051602539969379815776924428381396983158898677308435609768340737394272519639585372587405566849885801771954923073061767437190974575207690183972090455036016364229601184649750269809<236>

296064114487913730140107167617507871462378321890089645119737816733214047015680110202941617298423943619020555410025262707771636008269149544287389019818133517426207658950936203729301833521<186>

30510121104781462431747351603815727811096785775647624250128536164127914601038068324555227393397841653411679816755633615412188022384922236449888354704108725532834002431844974136838762154772912243<194>

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270059183534954704287049491008138205736011579781523156321823043978015760165836879869199680245615347825737916577500669623690508791655881683921415268204571593857549354202189433120670751826079329<192>

18739952803368885098816771936682980661807622457727383980819765239948454838524406508577022788444442228143318600236652297216306918133982729574755162644254052582321975029024943793690968025926977<191>

750141259537646652902115357103610390379469665062302030342896639810817061413734562163579551825727985976302892259369943163723773882313802606007836549778817990190763995943756595691967278640400123464004363541543886550763785937582747<228>

1261055070465860766315894146308752184901402167828006149439995077373059774650568555723077654910788439651028486620682507069144905666525193901380303897216114843525578294073795985141640498149906517263431451958048451183645997156781841251<232>

2118305355715427657873701039168665067945643485211830535571542765787370103916866506794564348521183053557154276578737010391686650679456434852118305355715427657873701039168665067945643485211830535571542765787370103916866506794564348521183053557154276578737<253>

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18293073530966253425618850756513039361667981950508073370683340396000830145412507057254360556230038905020503497373836882006734165819418371017118998044977788643581714105461556077<176>

585717437971661699792355519546977750580842881514459564476820158904082543566277457609169085698140752333156374053816820065004195030476725802091124221841828202366486723320229700070429051799516562382090174663156719602123<216>

1930533855262267395257428676062465664726880818965972555967815596571750694791849475473951525241948708556628713828078893706481486945256543544502411455336225054497513727370591762535885163978452910964579948979996973797118958694807585147652693025520273410218119<256>

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64984428259643443929473503518968096324088378822433115083744083964785796611000760195198509036513891954192108683390961033865469972289658893057701267809411707006057039162313936094558473724220799921528237573260746953088599524264940287893278403099634615856200495353<260>

886697279385364006873298778866371121709168353686946406361462634997522092675455040820353122207009612684213427903287224439551716349618848460541162026468050430801628208675263422647099747218659246902664104917026104036835741796343475540540763<237>

1097696310043868395912761124956201324938928126586198435593750247897385430354030435029069377727152648548702331234858160505769297294079324436665899280501196766942884368372515491424879966510576725914896920666070290546110101<220>

147193075636016494159733560696185414556138058545704220525455182767212163035077456799256722700662733450531818604490345931182721545687645410425679445746546954915402113160962682812727101905480821037303369492402142437226739696684217<228>

3987687418910990447477881092515476609747<40>

36911889065821988112109965147203166339528676495620065195959058333446003776865777919087417902845879633375851668397683113787636936067732717066349970662942380545492279752126461122982261091011<188>

Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Fri Nov 24 22:06:11 2023
Input number is 147193075636016494159733560696185414556138058545704220525455182767212163035077456799256722700662733450531818604490345931182721545687645410425679445746546954915402113160962682812727101905480821037303369492402142437226739696684217 (228 digits)
Using mpz_mod
Using lmax = 67108864 with NTT which takes about 21504MB of memory
Using B1=10000000000-10000000000, B2=13494038602573560, polynomial x^1
P = 198843645, l = 67108864, s_1 = 33177600, k = s_2 = 2, m_1 = 20
Probability of finding a factor of n digits (assuming one exists):
20   25      30      35      40      45      50      55      60      65
0.82    0.56    0.31    0.14    0.057   0.02    0.0066  0.002   0.00053 0.00014
Step 1 took 0ms
Computing F from factored S_1 took 225350ms
Computing h took 27748ms
Computing DCT-I of h took 73824ms
Multi-point evaluation 1 of 2:
Computing g_i took 93092ms
Computing g*h took 145968ms
Computing gcd of coefficients and N took 27646ms
Multi-point evaluation 2 of 2:
Computing g_i took 94250ms
Computing g*h took 144650ms
Computing gcd of coefficients and N took 27339ms
Step 2 took 861285ms
********** Factor found in step 2: 3987687418910990447477881092515476609747
Found prime factor of 40 digits: 3987687418910990447477881092515476609747
Composite cofactor 36911889065821988112109965147203166339528676495620065195959058333446003776865777919087417902845879633375851668397683113787636936067732717066349970662942380545492279752126461122982261091011 has 188 digits

GMP-ECM 7.0.6, ecm-db 0.1

1080 Ti for PM1 stage1

971873640804623730921292800978339428711544469969537218039387911285343637074447725345673976958474922279207417946266142500137610738565083983445824593174151423534386524508603377855481089292149221994080463329665372837246616591040828603069898167592921<246>

7626973340719201657600273976587135923326754827947240300713707701956148215809107715485904093263303700564463969096729636133152785187644305558336039797600427801943093176053412188961417418091847797195680056775743806897366294527770825734529307<238>

9270730631529352103420659140507073261243750832743282734956998229138423764356371855555458385105911298303172597307643699765768423375213618000919309885550908236340058373930069383858494381612025082262259426627457<208>

6499877360804513122393917095903850870738287956831003188619082658817758155506499877360804513122393917095903850870738287956831003188619082658817758155506499877360804513122393917095903850870738287956831003188619082658817758155506499877360804513122393917095903850870738287956831<274>

15313019820395364049662594288867240045924569422724823154113498589213655456133359993379942044495161567767256440834806074266733414813488863578528588905471947361378655455022084762227750373613958407399116195001514001<212>

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354813427647302552917309890247411674130886317533954065185665136344634262544259856085325866622367772582908840538932245596880170751667144763190390876597803981189772550473137522327445794619340464250676128152070141115781615849993<225>

77628379763892550604915487594106101883586724082373963734364472566423528722500512640243723818730409819257696927087910478366581714854849576705627325189676890177812930251633125347863022526876995635234496294343381082110320180449365790784193104256378709318334944488385036763628907051<278>

1897572426907964237335890217193799135791404548484581893537041564224617868376854131173373339784692593881597165748143635401905545946664880923477512224222665087308859720630888316352236781929779307340166341053610115947375565704199<226>

5389307617753778479160574461144993586418879724828867620850698343430557052867907846581746227998177071782547254008460236783399273037312291686736753290329912465238711652864649857599239981536435471674338091847915691379936689668028209141010054271954671570814576763335185831563149151<277>

52101125845116111202320442426267022222513435747608718192770269349464367128224239220302258541742968607144925451681235525115855639499613160462075511350313686575037826128174861474528690019672429434110180025814960121211515608526657806737450165417078553401<251>

14965372159060266335677231901587019392996494560352169991325863790121476058590469123027676082477948638635517462284106618309059963076738451138224552928462046859701859060219036960226871624650312259970110497464650325773298996531198884735780986660652475743264269757<260>

1618429187380052539641893544560512689822112668024238695724472527745771003035935466296511982236908052407368030282226056523181848477982534706510410519312460914094992073282229997386038559001161449210560143333293214061670969449040366667429042698217923740479026366640138332437901383<277>

19481478395612562384100999007839248386091665842878914117566064712304453836667747643353084122020405768176483172953816621605158397794549587141783256253363316061098328574264627615871315554351521069083899184293560230382851190962234951<230>

22259209468627563585804762861007943875074865491167054300299935707843323085949267128967768135508221052630960021981011348778150413743685975741308742568269436424619266931658775524918987607138929982329463565567361588266665027044897505874058383991304225628687642284121807870817829478949621<284>

272607472544106602165007695619488951088694226077262116168222608610899919154593687730310026191724973476564901102637639897818090754017011804174808006565237379696530799941189685518618491669055057794835753898975784619064648472615804603902617683021082284749987<255>

5180296255810315137392630465648200456112724274002868200290297174382941135815080110855901088246019156712265081888434048586559774810758973002246616989790231524563190697350069281923748284106335266069884651087591098576034492246618376922772655019229500316578959439<259>

37240859304862682341611358018008302350695035994414770506155696219199754081039566923377044405480668403439813100915519447942625917071970181005050970720941298273411174599046990951918663827198702792661122331852285438510626454352171291763568436564503466006775503569845533769090736032699779187<287>

2752478347083780351396965854830968227363436306144975423484373764955175630449972044168033298132770622892081971505720948344083059617538459652874049602983561887709893352370096784409380986315820196481252454509582623531487884888654980162940486120913569375489668494623890452608191354787499842901<289>

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1709275684431072103504963317331287878597307742444791846664683906872726623026600909218562372727493789685430708124535633334694303783955809611973134314302773870631567045242205331998421274277277927516777830862075448976734048894185708481548497988505024270747204382866659145853655169949411244828070409<295>

32844044815739404216381660337486826837842617<44>

52042179762583906837201058108176628576736474640280907021325514885983115922441443879571598329023113925398522455460830717490089719557861903837911254496970424058487008045624306568935433882853208130667956133054927245767722053774238853875237408809518221777<251>

Resuming ECM residue saved by @43d9db862d80 with GMP-ECM 7.0.5-dev on Sat Sep 10 20:59:05 2022 
Input number is 1709275684431072103504963317331287878597307742444791846664683906872726623026600909218562372727493789685430708124535633334694303783955809611973134314302773870631567045242205331998421274277277927516777830862075448976734048894185708481548497988505024270747204382866659145853655169949411244828070409 (295 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2750426516
Step 1 took 0ms
Step 2 took 15500ms
********** Factor found in step 2: 32844044815739404216381660337486826837842617
Found prime factor of 44 digits: 32844044815739404216381660337486826837842617
Composite cofactor 52042179762583906837201058108176628576736474640280907021325514885983115922441443879571598329023113925398522455460830717490089719557861903837911254496970424058487008045624306568935433882853208130667956133054927245767722053774238853875237408809518221777 has 251 digits