10572203068068554325912484098032199226045381765255293626828178128359925426555197078932431789985368155531417665361371729308196220528747<134>

12887559653323260161540988136812090239435548037398278829<56>
820341736718351120371112446753773950485937979572292265118280679006537541517943<78>

N=10572203068068554325912484098032199226045381765255293626828178128359925426555197078932431789985368155531417665361371729308196220528747
  ( 134 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=12887559653323260161540988136812090239435548037398278829 (pp56)
 r2=820341736718351120371112446753773950485937979572292265118280679006537541517943 (pp78)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.07 hours.
Scaled time: 47.49 units (timescale=7.825).
Factorization parameters were as follows:
n: 10572203068068554325912484098032199226045381765255293626828178128359925426555197078932431789985368155531417665361371729308196220528747
m: 100000000000000000000000000000000000
deg: 4
c4: 25
c0: 14
skew: 0.87
# Murphy_E = 4.042e-09
type: snfs
lss: 1
rlim: 1590000
alim: 1590000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1590000/1590000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [795000, 1395001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 204252 x 204477
Total sieving time: 6.03 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141.000,4,0,0,0,0,0,0,0,0,1590000,1590000,26,26,48,48,2.3,2.3,100000
total time: 6.07 hours.

GNFS, Msieve

9320796673439028703501289409946400136975719020076567660233247715728606563601602828606919405677371554696383584650586723786701<124>

784521250605777422089422795190903<33>
11880872144944276019754614361990031959161071436577223315686055588017391607249666154693045467<92>

784521250605777422089422795190903 * 11880872144944276019754614361990031959161071436577223315686055588017391607249666154693045467

937223680866841000564426367357736076834824333940020576205037231892055490058631<78>

32332519453825240606156770885892231<35>
28987029056158462775376536236934313222854401<44>

32332519453825240606156770885892231 * 28987029056158462775376536236934313222854401

363090402183384616527228964673486983012407818272883547969548264070380809894068347796497839963425246416277946829119059687349<123>

1063752216481376014398496675874308842125065771<46>
341329866634164178071808218147446989988507467121189318831581949655283991138719<78>

1063752216481376014398496675874308842125065771 * 341329866634164178071808218147446989988507467121189318831581949655283991138719

330927729359854328712966055357484195121442961402616973939607874665196405989049372156201408772981<96>

5799070919408982253397907605937857<34>
57065646197267257827718929323947526930220581180640319976734133<62>

5799070919408982253397907605937857 * 57065646197267257827718929323947526930220581180640319976734133

2192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140351<160>

8074717191648323924959866124909419679793474194782503613362425759<64>
271586286440911090727801132635359171138837597759754275315779650837333157573627326339196306344289<96>

Thu Nov 17 09:58:27 2016  Msieve v. 1.53 (SVN unknown)
Thu Nov 17 09:58:27 2016  random seeds: fa3b9308 7d8b76e1
Thu Nov 17 09:58:27 2016  factoring 2192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140351 (160 digits)
Thu Nov 17 09:58:29 2016  searching for 15-digit factors
Thu Nov 17 09:58:30 2016  commencing number field sieve (160-digit input)
Thu Nov 17 09:58:30 2016  R0: -50000000000000000000000000000000
Thu Nov 17 09:58:30 2016  R1: 1
Thu Nov 17 09:58:30 2016  A0: 7
Thu Nov 17 09:58:30 2016  A1: 0
Thu Nov 17 09:58:30 2016  A2: 0
Thu Nov 17 09:58:30 2016  A3: 0
Thu Nov 17 09:58:30 2016  A4: 0
Thu Nov 17 09:58:30 2016  A5: 400
Thu Nov 17 09:58:30 2016  skew 0.45, size 3.655e-11, alpha -0.899, combined = 6.922e-10 rroots = 1
Thu Nov 17 09:58:30 2016  
Thu Nov 17 09:58:30 2016  commencing square root phase
Thu Nov 17 09:58:30 2016  reading relations for dependency 1
Thu Nov 17 09:58:30 2016  read 279298 cycles
Thu Nov 17 09:58:31 2016  cycles contain 968484 unique relations
Thu Nov 17 09:58:54 2016  read 968484 relations
Thu Nov 17 09:59:02 2016  multiplying 968484 relations
Thu Nov 17 09:59:51 2016  multiply complete, coefficients have about 28.49 million bits
Thu Nov 17 09:59:52 2016  initial square root is modulo 152207431
Thu Nov 17 10:01:05 2016  sqrtTime: 155
Thu Nov 17 10:01:05 2016  p64 factor: 8074717191648323924959866124909419679793474194782503613362425759
Thu Nov 17 10:01:05 2016  p96 factor: 271586286440911090727801132635359171138837597759754275315779650837333157573627326339196306344289
Thu Nov 17 10:01:05 2016  elapsed time 00:02:38

660016512419830889713806390833336695457447599951885535463088238350459993571407488238250982304819490576540586083078418983837194083818330231078840534799637<153>

761324001084203634164779257948852310497604211983<48>
3406150420534560092003387370224711001025005572743<49>
254519731536776420041557270869943270622456438671279255373<57>

Number: n
N=660016512419830889713806390833336695457447599951885535463088238350459993571407488238250982304819490576540586083078418983837194083818330231078840534799637  ( 153 digits)
SNFS difficulty: 162 digits.
Divisors found:

Mon May  9 17:25:20 2022  found factor: 3406150420534560092003387370224711001025005572743
Mon May  9 17:26:18 2022  found factor: 3406150420534560092003387370224711001025005572743
Mon May  9 17:27:34 2022  p48 factor: 761324001084203634164779257948852310497604211983
Mon May  9 17:27:34 2022  p49 factor: 3406150420534560092003387370224711001025005572743
Mon May  9 17:27:34 2022  p57 factor: 254519731536776420041557270869943270622456438671279255373
Mon May  9 17:27:34 2022  elapsed time 00:09:20 (Msieve 1.54 - dependency 8)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 25x10^161+14 = 83(160)8
#
n: 660016512419830889713806390833336695457447599951885535463088238350459993571407488238250982304819490576540586083078418983837194083818330231078840534799637
m: 100000000000000000000000000000000
deg: 5
c5: 125
c0: 7
skew: 0.56
# Murphy_E = 6.146e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1369112 hash collisions in 17133486 relations (16536901 unique)
Msieve: matrix is 434585 x 434810 (146.1 MB)

Sieving start time : 2022/05/09 16:30:26
Sieving end time  : 2022/05/09 17:17:58

Total sieving time: 0hrs 47min 32secs.

Total relation processing time: 0hrs 2min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 33sec.

Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

26863695277081676708336923503444871899689491808396372378693482788410934848499561971921672355872985107<101>

757697946277522433494029349153958321231<39>
35454359364519508172882973128475241510381313707666817212844797<62>

 757697946277522433494029349153958321231 * 35454359364519508172882973128475241510381313707666817212844797

3838347125400901444641529858900831888191341165595070583080467954127297887550074417825675859371732056134810801573162361729194734775157<133>

196703704408275990250323625130739286509305853631800387481<57>
19513344382341023145378386023663315398780600318472922323778325773116846529597<77>

Number: n
N=3838347125400901444641529858900831888191341165595070583080467954127297887550074417825675859371732056134810801573162361729194734775157  ( 133 digits)
SNFS difficulty: 165 digits.
Divisors found:

Thu Jun  2 22:56:37 2022  p57 factor: 196703704408275990250323625130739286509305853631800387481
Thu Jun  2 22:56:37 2022  p77 factor: 19513344382341023145378386023663315398780600318472922323778325773116846529597
Thu Jun  2 22:56:37 2022  elapsed time 00:08:30 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 25x10^164+14 = 83(163)8
#
n: 3838347125400901444641529858900831888191341165595070583080467954127297887550074417825675859371732056134810801573162361729194734775157
m: 500000000000000000000000000000000
deg: 5
c5: 40
c0: 7
skew: 0.71
# Murphy_E = 5.172e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 993639 hash collisions in 12326120 relations (12140686 unique)
Msieve: matrix is 503082 x 503308 (173.8 MB)

Sieving start time : 2022/06/02 22:06:11
Sieving end time  : 2022/06/02 22:47:54

Total sieving time: 0hrs 41min 43secs.

Total relation processing time: 0hrs 4min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 25sec.

Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

429636905769661062356543879662070687366671698793660214529885386925544423450808338555753283178946479851<102>

60729144985630774084125418195127355737<38>
7074641111303611779131741272889975362311278197969670997307786723<64>

starting SIQS on c102: 429636905769661062356543879662070687366671698793660214529885386925544423450808338555753283178946479851

==== sieving in progress (32 threads):  134048 relations needed ====
====            Press ctrl-c to abort and save state            ====
139488 rels found: 34328 full + 105160 from 1986331 partial, (1002.04 rels/sec)

SIQS elapsed time = 2081.2569 seconds.


***factors found***

P64 = 7074641111303611779131741272889975362311278197969670997307786723
P38 = 60729144985630774084125418195127355737

ans = 1

981157874585359894983368276124565618682676781414071045555230810909127879451487257530985565967861361909357192591<111>

6025244993316171930592261102843566638694728519<46>
162841158438165120357304837027994127417481053668587668509509197689<66>

981157874585359894983368276124565618682676781414071045555230810909127879451487257530985565967861361909357192591=6025244993316171930592261102843566638694728519*162841158438165120357304837027994127417481053668587668509509197689

cado polynomial
n: 981157874585359894983368276124565618682676781414071045555230810909127879451487257530985565967861361909357192591
skew: 53352.902
c0: 722154669821648276052104540
c1: 21852843428315071017795
c2: -1840857295785206230
c3: 4723426881919
c4: 349486296
c5: 1440
Y0: -4674371757069228806648
Y1: 4228438763881091
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.398e-06
# f(x) = 1440*x^5+349486296*x^4+4723426881919*x^3-1840857295785206230*x^2+21852843428315071017795*x+722154669821648276052104540
# g(x) = 4228438763881091*x-4674371757069228806648

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
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: 162841158438165120357304837027994127417481053668587668509509197689 6025244993316171930592261102843566638694728519
Info:Square Root: Total cpu/real time for sqrt: 149.41/44.5668
Info:Filtering - Singleton removal: Total cpu/real time for purge: 70.42/78.956
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5443806
Info:Lattice Sieving: Average J: 1928.81 for 105529 special-q, max bucket fill -bkmult 1.0,1s:1.299230
Info:Lattice Sieving: Total time: 10023.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.35/0.636197
Info:Linear Algebra: Total cpu/real time for bwc: 1215.69/313.99
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 738.86, WCT time 188.87, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9600 iterations)
Info:Linear Algebra: Lingen CPU time 45.37, WCT time 11.55
Info:Linear Algebra: Mksol: CPU time 406.6,  WCT time 103.85, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4864 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.32/16.4605
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.5/23.7078
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.9s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 235.49
Info:Polynomial Selection (root optimized): Rootsieve time: 234.55
Info:Filtering - Merging: Merged matrix has 304345 rows and total weight 47530774 (156.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 46.93/14.0085
Info:Filtering - Merging: Total cpu/real time for replay: 10.03/8.13512
Info:Quadratic Characters: Total cpu/real time for characters: 11.26/4.35237
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11642/32.280/39.508/45.030/1.105
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9260/31.830/34.980/39.940/0.905
Info:Polynomial Selection (size optimized): Total time: 692.86
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 91.05/100.778
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.5s
Info:Square Root: Total cpu/real time for sqrt: 149.41/44.5668
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 20780.7/5830.82
Info:root: Cleaning up computation data in /tmp/cado.r1yv6nkd
162841158438165120357304837027994127417481053668587668509509197689 6025244993316171930592261102843566638694728519

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

24014387955400367122449152983171956327376475508878661460903625458691619251975809361614799480973165350312401966212726947431071893742105931843274387729175155399<158>

895398535008833766901263538939818153314783169777266391919409<60>
26819775794209276291410235594726281380482268252449314150000868816621805032065018661178799758389111<98>

Number: n
N=24014387955400367122449152983171956327376475508878661460903625458691619251975809361614799480973165350312401966212726947431071893742105931843274387729175155399  ( 158 digits)
SNFS difficulty: 172 digits.
Divisors found:

Wed May 11 01:57:54 2022  p60 factor: 895398535008833766901263538939818153314783169777266391919409
Wed May 11 01:57:54 2022  p98 factor: 26819775794209276291410235594726281380482268252449314150000868816621805032065018661178799758389111
Wed May 11 01:57:54 2022  elapsed time 00:11:20 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 25x10^171+14 = 83(170)8
#
n: 24014387955400367122449152983171956327376475508878661460903625458691619251975809361614799480973165350312401966212726947431071893742105931843274387729175155399
m: 10000000000000000000000000000000000
deg: 5
c5: 125
c0: 7
skew: 0.56
# Murphy_E = 2.484e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1743836 hash collisions in 15266576 relations (14450839 unique)
Msieve: matrix is 617026 x 617253 (212.5 MB)

Sieving start time : 2022/05/11 00:49:01
Sieving end time  : 2022/05/11 01:46:16

Total sieving time: 0hrs 57min 15secs.

Total relation processing time: 0hrs 5min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 48sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

40986394513065336377679092808972632482875170040490854234725244584543435892254167161491566416568081001064619040873883002134696998723362715339866286210169<152>

278258963493464715223304057371342975007<39>
147295864249950592506185580777838647139070371139929925498863177069308338695707292663738032168231336588254829912167<114>

Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3637455668 5e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 40986394513065336377679092808972632482875170040490854234725244584543435892254167161491566416568081001064619040873883002134696998723362715339866286210169 (152 digits)
Using B1=5000000, B2=11416314010, polynomial Dickson(12), sigma=1:3637455668
Step 1 took 10468ms
Step 2 took 8892ms
********** Factor found in step 2: 278258963493464715223304057371342975007
Found probable prime factor of 39 digits: 278258963493464715223304057371342975007
Probable prime cofactor 147295864249950592506185580777838647139070371139929925498863177069308338695707292663738032168231336588254829912167 has 114 digits

37001045696132158775205590450628044933701116075471023602920419605214459040753033607062578965242921353078005237<110>

521948094583072654493265304171979517330922105599679813<54>
70890278324874917570930689793377311496531893830165188849<56>

37001045696132158775205590450628044933701116075471023602920419605214459040753033607062578965242921353078005237=521948094583072654493265304171979517330922105599679813*70890278324874917570930689793377311496531893830165188849

cado polynomial
n: 37001045696132158775205590450628044933701116075471023602920419605214459040753033607062578965242921353078005237
skew: 7364.886
c0: -425976867475526271788807
c1: 578168580728820732346
c2: -66907522466392438
c3: 12637578133619
c4: 1669598250
c5: 60480
Y0: -1040035044653124616394
Y1: 17165868988430963
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.686e-06
# f(x) = 60480*x^5+1669598250*x^4+12637578133619*x^3-66907522466392438*x^2+578168580728820732346*x-425976867475526271788807
# g(x) = 17165868988430963*x-1040035044653124616394

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
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: 70890278324874917570930689793377311496531893830165188849 521948094583072654493265304171979517330922105599679813
Info:Square Root: Total cpu/real time for sqrt: 90.34/27.2141
Info:Filtering - Singleton removal: Total cpu/real time for purge: 63/72.4898
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5170748
Info:Lattice Sieving: Average J: 1898.1 for 83299 special-q, max bucket fill -bkmult 1.0,1s:1.302300
Info:Lattice Sieving: Total time: 8025.33s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.33/0.636513
Info:Linear Algebra: Total cpu/real time for bwc: 1108.24/287.48
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 669.55, WCT time 171.69, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9216 iterations)
Info:Linear Algebra: Lingen CPU time 44.49, WCT time 11.34
Info:Linear Algebra: Mksol: CPU time 370.49,  WCT time 94.94, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4608 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.49/16.1298
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.21/21.8109
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.999999999999996s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 254.95
Info:Polynomial Selection (root optimized): Rootsieve time: 253.98
Info:Filtering - Merging: Merged matrix has 293412 rows and total weight 45497967 (155.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 45.2/13.5753
Info:Filtering - Merging: Total cpu/real time for replay: 9.87/7.934
Info:Quadratic Characters: Total cpu/real time for characters: 10.98/4.24083
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11941/30.950/38.928/45.960/1.082
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9369/31.390/34.483/39.390/0.889
Info:Polynomial Selection (size optimized): Total time: 699.25
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 85.49/91.5555
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 65.5s
Info:Square Root: Total cpu/real time for sqrt: 90.34/27.2141
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 16955.7/4762.26
Info:root: Cleaning up computation data in /tmp/cado.sli6t78w
70890278324874917570930689793377311496531893830165188849 521948094583072654493265304171979517330922105599679813

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

46025667719489059317195995490845738814355807846502777301673525540574577675118887062783532335199541546735951495141696712801429135918097274549<140>

4574843373202602097303943201104842077<37>
10060599667539866336844110547413715079510119652788733914917545747648394054603997783072068025611530830137<104>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 46025667719489059317195995490845738814355807846502777301673525540574577675118887062783532335199541546735951495141696712801429135918097274549 (140 digits)
Using B1=15330000, B2=46847878360, polynomial Dickson(12), sigma=1:2298431408
Step 1 took 30526ms
Step 2 took 12241ms
********** Factor found in step 2: 4574843373202602097303943201104842077
Found prime factor of 37 digits: 4574843373202602097303943201104842077
Prime cofactor 10060599667539866336844110547413715079510119652788733914917545747648394054603997783072068025611530830137 has 104 digits

13061650992685475444096133751306165099268547544409613375130616509926854754440961337513061650992685475444096133751306165099268547544409613375130616509926854754440961337513061651<176>

2779102165324865931691545683832624307204687<43>
992760896168256553887906913533545037857242764642250315272040521503<66>
4734225062590749062267888521534053702393961972916514513250470030691<67>

Number: n
N=13061650992685475444096133751306165099268547544409613375130616509926854754440961337513061650992685475444096133751306165099268547544409613375130616509926854754440961337513061651  ( 176 digits)
SNFS difficulty: 178 digits.
Divisors found:

Fri May 13 19:21:51 2022  found factor: 4734225062590749062267888521534053702393961972916514513250470030691
Fri May 13 19:22:24 2022  p43 factor: 2779102165324865931691545683832624307204687
Fri May 13 19:22:24 2022  p66 factor: 992760896168256553887906913533545037857242764642250315272040521503
Fri May 13 19:22:24 2022  p67 factor: 4734225062590749062267888521534053702393961972916514513250470030691
Fri May 13 19:22:24 2022  elapsed time 00:17:05 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 25x10^177+14 = 83(176)8
#
n: 13061650992685475444096133751306165099268547544409613375130616509926854754440961337513061650992685475444096133751306165099268547544409613375130616509926854754440961337513061651
m: 500000000000000000000000000000000000
deg: 5
c5: 2
c0: 35
skew: 1.77
# Murphy_E = 1.612e-10
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4165450 hash collisions in 32147740 relations (29794458 unique)
Msieve: matrix is 753897 x 754126 (257.4 MB)

Sieving start time : 2022/05/13 17:38:16
Sieving end time  : 2022/05/13 19:04:49

Total sieving time: 1hrs 26min 33secs.

Total relation processing time: 0hrs 8min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 7sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

984375395643949831226457365531554627958515816230802461611251500633359438262085441894087840457953522776685324799307110433800268529775931412304824261<147>

683205921623458359745260091689274999317988215199<48>
1440818008873286387579311734322417997557896411628376835589074281436622370154158992689631535816768539<100>

Number: n
N=984375395643949831226457365531554627958515816230802461611251500633359438262085441894087840457953522776685324799307110433800268529775931412304824261  ( 147 digits)
SNFS difficulty: 179 digits.
Divisors found:

Sat May 14 13:10:34 2022  p48 factor: 683205921623458359745260091689274999317988215199
Sat May 14 13:10:34 2022  p100 factor: 1440818008873286387579311734322417997557896411628376835589074281436622370154158992689631535816768539
Sat May 14 13:10:34 2022  elapsed time 00:17:40 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 25x10^178+14 = 83(177)8
#
n: 984375395643949831226457365531554627958515816230802461611251500633359438262085441894087840457953522776685324799307110433800268529775931412304824261
m: 500000000000000000000000000000000000
deg: 5
c5: 4
c0: 7
skew: 1.12
# Murphy_E = 1.617e-10
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3434144 hash collisions in 28643225 relations (26836786 unique)
Msieve: matrix is 827806 x 828031 (283.4 MB)

Sieving start time : 2022/05/14 10:56:30
Sieving end time  : 2022/05/14 12:51:42

Total sieving time: 1hrs 55min 12secs.

Total relation processing time: 0hrs 10min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 42sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

42321817201594091395307733045069189786229389055097498746313109210595425048348113359761654536432100402400163635349004355411236118535932543276608261899<149>

77359906449222013240447577751980840597698684233919221313<56>
547076892206088105654646346034816336145550490973751612062711650509401618482097894820905230923<93>

Sun May 15 07:45:10 2022  Msieve v. 1.53 (SVN unknown)
Sun May 15 07:45:10 2022  random seeds: a28ff788 dabbf187
Sun May 15 07:45:10 2022  factoring 42321817201594091395307733045069189786229389055097498746313109210595425048348113359761654536432100402400163635349004355411236118535932543276608261899 (149 digits)
Sun May 15 07:45:11 2022  searching for 15-digit factors
Sun May 15 07:45:11 2022  commencing number field sieve (149-digit input)
Sun May 15 07:45:11 2022  R0: -1000000000000000000000000000000000000
Sun May 15 07:45:11 2022  R1: 1
Sun May 15 07:45:11 2022  A0: 7
Sun May 15 07:45:11 2022  A1: 0
Sun May 15 07:45:11 2022  A2: 0
Sun May 15 07:45:11 2022  A3: 0
Sun May 15 07:45:11 2022  A4: 0
Sun May 15 07:45:11 2022  A5: 125
Sun May 15 07:45:11 2022  skew 0.56, size 1.383e-12, alpha -0.282, combined = 9.852e-11 rroots = 1
Sun May 15 07:45:11 2022  
Sun May 15 07:45:11 2022  commencing square root phase
Sun May 15 07:45:11 2022  reading relations for dependency 1
Sun May 15 07:45:11 2022  read 741059 cycles
Sun May 15 07:45:12 2022  cycles contain 2560406 unique relations
Sun May 15 07:45:31 2022  read 2560406 relations
Sun May 15 07:45:39 2022  multiplying 2560406 relations
Sun May 15 07:46:27 2022  multiply complete, coefficients have about 73.60 million bits
Sun May 15 07:46:27 2022  initial square root is modulo 192091
Sun May 15 07:47:23 2022  sqrtTime: 132
Sun May 15 07:47:23 2022  p56 factor: 77359906449222013240447577751980840597698684233919221313
Sun May 15 07:47:23 2022  p93 factor: 547076892206088105654646346034816336145550490973751612062711650509401618482097894820905230923
Sun May 15 07:47:23 2022  elapsed time 00:02:13
Sun May 15 07:47:23 2022 -> Computing time scale for this machine...
Sun May 15 07:47:23 2022 -> procrels -speedtest> PIPE

416666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<183>

1142982945770378026855528585694476905968329453294590005580821<61>
364543205310758675804890989492127629719539993090723839959867187820828150229279935414773332782943145812179622051445603461689<123>

Number: n
N=416666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669  ( 183 digits)
SNFS difficulty: 183 digits.
Divisors found:

Sun May 15 01:34:44 2022  p61 factor: 1142982945770378026855528585694476905968329453294590005580821
Sun May 15 01:34:44 2022  p123 factor: 364543205310758675804890989492127629719539993090723839959867187820828150229279935414773332782943145812179622051445603461689
Sun May 15 01:34:44 2022  elapsed time 00:22:49 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 25x10^182+14 = 83(181)8
#
n: 416666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
m: 5000000000000000000000000000000000000
deg: 5
c5: 2
c0: 35
skew: 1.77
# Murphy_E = 1.011e-10
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2889079 hash collisions in 29251566 relations (28210014 unique)
Msieve: matrix is 861680 x 861908 (295.6 MB)

Sieving start time : 2022/05/14 22:43:34
Sieving end time  : 2022/05/15 01:11:27

Total sieving time: 2hrs 27min 53secs.

Total relation processing time: 0hrs 11min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 27sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

54839162131908158390383240847189728009327424164493154974124541652452052172994458619589863465772505758586338215623760203627569633389399203623075731<146>

15739494447481268731122910441219543987<38>
3484175575962280056575595973661904243184009702401381728621778374648223214540592019084964605038338982520599713<109>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3553833136
Step 1 took 5781ms
Step 2 took 3422ms
********** Factor found in step 2: 15739494447481268731122910441219543987
Found prime factor of 38 digits: 15739494447481268731122910441219543987
Prime cofactor 3484175575962280056575595973661904243184009702401381728621778374648223214540592019084964605038338982520599713 has 109 digits

GMP-ECM

473598766858157464207344811873121263994962684584100258520357712456083751205801354580000788695610652703690452459690136647545083621869824556639107943281<150>

296340604028113759075814341631531085645872554255535338550628860777<66>
1598156852016226799296119197991640427870559663328634912493654180785546247042185457353<85>

Number: n
N=473598766858157464207344811873121263994962684584100258520357712456083751205801354580000788695610652703690452459690136647545083621869824556639107943281  ( 150 digits)
SNFS difficulty: 186 digits.
Divisors found:

Mon May 16 01:23:27 2022  p66 factor: 296340604028113759075814341631531085645872554255535338550628860777
Mon May 16 01:23:27 2022  p85 factor: 1598156852016226799296119197991640427870559663328634912493654180785546247042185457353
Mon May 16 01:23:27 2022  elapsed time 00:22:56 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 25x10^185+14 = 83(184)8
#
n: 473598766858157464207344811873121263994962684584100258520357712456083751205801354580000788695610652703690452459690136647545083621869824556639107943281
m: 10000000000000000000000000000000000000
deg: 5
c5: 25
c0: 14
skew: 0.89
# Murphy_E = 6.934e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2972197 hash collisions in 29471718 relations (28351231 unique)
Msieve: matrix is 942178 x 942404 (324.6 MB)

Sieving start time : 2022/05/15 22:13:38
Sieving end time  : 2022/05/16 00:59:54

Total sieving time: 2hrs 46min 16secs.

Total relation processing time: 0hrs 13min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 58sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

27591375401863268643689157531005084617142803219626157951476448812153533647441940285006875990696026455241328374237764853335870554847815119428203917841<149>

3801422081308278667433221318630154978244228353<46>
27853678481762238365494271661562810488800566769<47>
260582171533465131918759880101393539714151834012444647713<57>

27591375401863268643689157531005084617142803219626157951476448812153533647441940285006875990696026455241328374237764853335870554847815119428203917841=3801422081308278667433221318630154978244228353*27853678481762238365494271661562810488800566769*260582171533465131918759880101393539714151834012444647713

cado polynomial
n: 27591375401863268643689157531005084617142803219626157951476448812153533647441940285006875990696026455241328374237764853335870554847815119428203917841
skew: 1.77
type: snfs
c0: 35
c5: 2
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 2*x^5+35
# g(x) = -x+50000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9800000
tasks.lim1 = 9800000
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: 3801422081308278667433221318630154978244228353 27853678481762238365494271661562810488800566769 260582171533465131918759880101393539714151834012444647713
Info:Square Root: Total cpu/real time for sqrt: 1021.1/316.831
Info:Filtering - Singleton removal: Total cpu/real time for purge: 126.21/152.324
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22639862
Info:Lattice Sieving: Average J: 1894.19 for 1095574 special-q, max bucket fill -bkmult 1.0,1s:1.130990
Info:Lattice Sieving: Total time: 214776s
Info:Linear Algebra: Total cpu/real time for bwc: 45321.2/11701.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 29148.94, WCT time 7524.69, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50688 iterations)
Info:Linear Algebra: Lingen CPU time 325.43, WCT time 82.68
Info:Linear Algebra: Mksol: CPU time 15551.49,  WCT time 3981.11, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.76/32.1713
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 93.01/107.548
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 107.4s
Info:Filtering - Merging: Merged matrix has 1618542 rows and total weight 276131373 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 430.45/119.864
Info:Filtering - Merging: Total cpu/real time for replay: 64.02/54.6766
Info:Generate Factor Base: Total cpu/real time for makefb: 4.14/2.19675
Info:Quadratic Characters: Total cpu/real time for characters: 59.66/24.158
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 255.86/226.827
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 198.00000000000003s
Info:Square Root: Total cpu/real time for sqrt: 1021.1/316.831
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 449097/120277
Info:root: Cleaning up computation data in /tmp/cado.p2vtl2x4
3801422081308278667433221318630154978244228353 27853678481762238365494271661562810488800566769 260582171533465131918759880101393539714151834012444647713

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-122-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.9)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

88906025502070700328112109159622685995502759069926726035272838165582653707039253166225502080773695842229161451437381<116>

4277074968614353558523664238169588505196011641<46>
20786641841555944628697310539371639642557132707544415661506264285956141<71>

88906025502070700328112109159622685995502759069926726035272838165582653707039253166225502080773695842229161451437381=4277074968614353558523664238169588505196011641*20786641841555944628697310539371639642557132707544415661506264285956141

cado polynomial
n: 88906025502070700328112109159622685995502759069926726035272838165582653707039253166225502080773695842229161451437381
skew: 42055.375
c0: -4238533952469240011225579433
c1: 253398862305579656726380
c2: 7443196575638866615
c3: -100220066692710
c4: -215601672
c5: 40320
Y0: -18730318065502569152080
Y1: 203253791743965523
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.294e-07
# f(x) = 40320*x^5-215601672*x^4-100220066692710*x^3+7443196575638866615*x^2+253398862305579656726380*x-4238533952469240011225579433
# g(x) = 203253791743965523*x-18730318065502569152080

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 20786641841555944628697310539371639642557132707544415661506264285956141 4277074968614353558523664238169588505196011641
Info:Square Root: Total cpu/real time for sqrt: 144/43.6736
Info:Filtering - Singleton removal: Total cpu/real time for purge: 103.61/118.63
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7481845
Info:Lattice Sieving: Average J: 1899.34 for 183108 special-q, max bucket fill -bkmult 1.0,1s:1.256710
Info:Lattice Sieving: Total time: 20223.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.21/1.13372
Info:Linear Algebra: Total cpu/real time for bwc: 2865.56/739.11
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1778.28, WCT time 455.2, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14464 iterations)
Info:Linear Algebra: Lingen CPU time 73.35, WCT time 18.68
Info:Linear Algebra: Mksol: CPU time 973.87,  WCT time 248.84, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7168 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 64.35/16.7953
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 30.37/33.5894
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 32.49999999999999s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 337.93
Info:Polynomial Selection (root optimized): Rootsieve time: 336.88
Info:Filtering - Merging: Merged matrix has 458352 rows and total weight 71075379 (155.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 75.35/22.4927
Info:Filtering - Merging: Total cpu/real time for replay: 15.7/12.6996
Info:Quadratic Characters: Total cpu/real time for characters: 16.52/6.46137
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21578/34.680/41.382/47.110/1.068
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17150/33.270/36.654/41.860/0.844
Info:Polynomial Selection (size optimized): Total time: 1760.02
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 130.21/139.518
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 102.7s
Info:Square Root: Total cpu/real time for sqrt: 144/43.6736
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 42733/11670.9
Info:root: Cleaning up computation data in /tmp/cado.iruu5l85
20786641841555944628697310539371639642557132707544415661506264285956141 4277074968614353558523664238169588505196011641

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

11515343346672852477565351460067085303902000235160791492385515007163028104219031161589687877543258261465084756325271561535329342249827938225694933829982283178686492224107<170>

17320919817004643617900939801382889083838591138445150508022550205777271931<74>
664822854001539616633602941794517716236774594583933168395034641534856883594408434794302312242897<96>

Number: n
N=11515343346672852477565351460067085303902000235160791492385515007163028104219031161589687877543258261465084756325271561535329342249827938225694933829982283178686492224107  ( 170 digits)
SNFS difficulty: 191 digits.
Divisors found:

Wed May 18 08:26:55 2022  p74 factor: 17320919817004643617900939801382889083838591138445150508022550205777271931
Wed May 18 08:26:55 2022  p96 factor: 664822854001539616633602941794517716236774594583933168395034641534856883594408434794302312242897
Wed May 18 08:26:55 2022  elapsed time 00:40:28 (Msieve 1.54 - dependency 8)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 25x10^190+14 = 83(189)8
#
n: 11515343346672852477565351460067085303902000235160791492385515007163028104219031161589687877543258261465084756325271561535329342249827938225694933829982283178686492224107
m: 100000000000000000000000000000000000000
deg: 5
c5: 25
c0: 14
skew: 0.89
# Murphy_E = 4.322e-11
type: snfs
lss: 1
rlim: 10800000
alim: 10800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3126500 hash collisions in 28774868 relations (27380850 unique)
Msieve: matrix is 1169939 x 1170164 (404.8 MB)

Sieving start time : 2022/05/18 03:45:29
Sieving end time  : 2022/05/18 07:45:37

Total sieving time: 4hrs 0min 8secs.

Total relation processing time: 0hrs 23min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 54sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10800000,10800000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

11360277184193198884532629207321740692897029560605698613410708141355592050775051227199116700755558492323627517711331936938401512067551839<137>

168999701532372626676192066929145883736753443531364717<54>
67220693771563190957181570698181633344046787394986105904314849242445738595562137467<83>

11360277184193198884532629207321740692897029560605698613410708141355592050775051227199116700755558492323627517711331936938401512067551839=168999701532372626676192066929145883736753443531364717*67220693771563190957181570698181633344046787394986105904314849242445738595562137467

cado polynomial
n: 11360277184193198884532629207321740692897029560605698613410708141355592050775051227199116700755558492323627517711331936938401512067551839
skew: 0.56
type: snfs
c0: 7
c5: 125
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 125*x^5+7
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11100000
tasks.lim1 = 11100000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 67220693771563190957181570698181633344046787394986105904314849242445738595562137467 168999701532372626676192066929145883736753443531364717
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 595.2/193.798
Info:HTTP server: Got notification to stop serving Workunits
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25874942
Info:Lattice Sieving: Average J: 1894.54 for 1735191 special-q, max bucket fill -bkmult 1.0,1s:1.170510
Info:Lattice Sieving: Total time: 340009s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.65/2.1855
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 523.06/520.817
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 362.3s
Info:Square Root: Total cpu/real time for sqrt: 595.2/193.798
Info:Quadratic Characters: Total cpu/real time for characters: 70.74/31.3795
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.74/104.357
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 103.6s
Info:Filtering - Merging: Merged matrix has 1970514 rows and total weight 337398159 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 578.48/164.485
Info:Filtering - Merging: Total cpu/real time for replay: 74.82/76.3424
Info:Linear Algebra: Total cpu/real time for bwc: 73259.8/19256
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 47100.43, WCT time 12141.15, iteration CPU time 0.18, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (61696 iterations)
Info:Linear Algebra: Lingen CPU time 291.3, WCT time 297.84
Info:Linear Algebra: Mksol: CPU time 25385.37,  WCT time 6576.83, iteration CPU time 0.2, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (30976 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 413.03/413.385
Info:Generate Free Relations: Total cpu/real time for freerel: 127.12/34.06
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 715831/36338.7
67220693771563190957181570698181633344046787394986105904314849242445738595562137467 168999701532372626676192066929145883736753443531364717

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)

178631049435674727502009661282907825893531976105524386834070267764506312363018513078044516582810156250019906442179900660804938204662197168745600547023<150>

28894990718402541418377953618963214641443<41>
6182076719682377493080992595469555144434722328036489962364169137572425217920885593713634038604152178518633061<109>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 178631049435674727502009661282907825893531976105524386834070267764506312363018513078044516582810156250019906442179900660804938204662197168745600547023 (150 digits)
Using B1=17490000, B2=58559766730, polynomial Dickson(12), sigma=1:3442881635
Step 1 took 33682ms
Step 2 took 14507ms
********** Factor found in step 2: 28894990718402541418377953618963214641443
Found prime factor of 41 digits: 28894990718402541418377953618963214641443
Prime cofactor 6182076719682377493080992595469555144434722328036489962364169137572425217920885593713634038604152178518633061 has 109 digits

389398718332997501343266957331014017410304831589460026091394242816296627619021743429951179466458974270997418332894095243846401636586074191605881060307106299933326422327954829959<177>

2473321767529534598885837519525387091676849808183892676393284271253<67>
157439571124604023750962880093678264200551317902887721509344208992112354270176013563693341723117861058408255403<111>

Number: n
N=389398718332997501343266957331014017410304831589460026091394242816296627619021743429951179466458974270997418332894095243846401636586074191605881060307106299933326422327954829959  ( 177 digits)
SNFS difficulty: 194 digits.
Divisors found:

Tue Jul 19 01:29:52 2022  p67 factor: 2473321767529534598885837519525387091676849808183892676393284271253
Tue Jul 19 01:29:52 2022  p111 factor: 157439571124604023750962880093678264200551317902887721509344208992112354270176013563693341723117861058408255403
Tue Jul 19 01:29:52 2022  elapsed time 00:40:00 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 25x10^193+14 = 83(192)8
#
n: 389398718332997501343266957331014017410304831589460026091394242816296627619021743429951179466458974270997418332894095243846401636586074191605881060307106299933326422327954829959
m: 500000000000000000000000000000000000000
deg: 5
c5: 4
c0: 7
skew: 1.12
# Murphy_E = 3.932e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3216766 hash collisions in 30054785 relations (28686808 unique)
Msieve: matrix is 1272509 x 1272734 (443.5 MB)

Sieving start time : 2022/07/18 20:29:12
Sieving end time  : 2022/07/19 00:49:22

Total sieving time: 4hrs 20min 10secs.

Total relation processing time: 0hrs 29min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 52sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119387] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153505] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798328)
[    0.152037] smpboot: Total of 16 processors activated (102386.62 BogoMIPS)

762780267268784155052983073473442109415711013148688658130220493277377523219187899663307960686405987933618025687464849540879733219643200767965442382522757031487882950731<168>

3170519352236161516749325220989781366872734861931681843<55>
240585274059531169145670019763753501570654454376235733877142406577643704220862310482271752376258089002430326695817<114>

Number: n
N=762780267268784155052983073473442109415711013148688658130220493277377523219187899663307960686405987933618025687464849540879733219643200767965442382522757031487882950731  ( 168 digits)
SNFS difficulty: 195 digits.
Divisors found:

Thu Jul 21 09:57:49 2022  p55 factor: 3170519352236161516749325220989781366872734861931681843
Thu Jul 21 09:57:49 2022  p114 factor: 240585274059531169145670019763753501570654454376235733877142406577643704220862310482271752376258089002430326695817
Thu Jul 21 09:57:49 2022  elapsed time 00:48:36 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 25x10^194+14 = 83(193)8
#
n: 762780267268784155052983073473442109415711013148688658130220493277377523219187899663307960686405987933618025687464849540879733219643200767965442382522757031487882950731
m: 500000000000000000000000000000000000000
deg: 5
c5: 40
c0: 7
skew: 0.71
# Murphy_E = 3.175e-11
type: snfs
lss: 1
rlim: 12500000
alim: 12500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12500000/12500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3163485 hash collisions in 28919864 relations (27491508 unique)
Msieve: matrix is 1384370 x 1384597 (484.4 MB)

Sieving start time : 2022/07/21 05:15:30
Sieving end time  : 2022/07/21 09:08:42

Total sieving time: 3hrs 53min 12secs.

Total relation processing time: 0hrs 35min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 51sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12500000,12500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119387] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153505] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798328)
[    0.152037] smpboot: Total of 16 processors activated (102386.62 BogoMIPS)

20952944907326482899964332438892042393774671952236130725677508136524868155507806872264819433594919205034287637054912325431168691516933050695587079375837646748284788851485548391<176>

131423602282690063519087755557168831780531041038147229582917575011<66>
159430608683644464441767886467920293960605661333000152294201011895925587033567176390813130070002324281054497581<111>

Number: n
N=20952944907326482899964332438892042393774671952236130725677508136524868155507806872264819433594919205034287637054912325431168691516933050695587079375837646748284788851485548391  ( 176 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sun Jul 24 08:16:03 2022  p66 factor: 131423602282690063519087755557168831780531041038147229582917575011
Sun Jul 24 08:16:03 2022  p111 factor: 159430608683644464441767886467920293960605661333000152294201011895925587033567176390813130070002324281054497581
Sun Jul 24 08:16:03 2022  elapsed time 00:56:53 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 25x10^195+14 = 83(194)8
#
n: 20952944907326482899964332438892042393774671952236130725677508136524868155507806872264819433594919205034287637054912325431168691516933050695587079375837646748284788851485548391
m: 1000000000000000000000000000000000000000
deg: 5
c5: 25
c0: 14
skew: 0.89
# Murphy_E = 2.682e-11
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3139862 hash collisions in 28400529 relations (26945229 unique)
Msieve: matrix is 1474425 x 1474652 (514.0 MB)

Sieving start time : 2022/07/24 02:45:51
Sieving end time  : 2022/07/24 07:18:41

Total sieving time: 4hrs 32min 50secs.

Total relation processing time: 0hrs 42min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 18sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

1814344177037555451847823928066793712463314120437646835553273298649151516744933948700407961131301202888068331031057361288136649259026102628411<142>

16992169215202440916920186304333369579204464611073682637824553<62>
106775312442999336014582159664871575376624972906044249245314187499955331675829187<81>

1814344177037555451847823928066793712463314120437646835553273298649151516744933948700407961131301202888068331031057361288136649259026102628411=16992169215202440916920186304333369579204464611073682637824553*106775312442999336014582159664871575376624972906044249245314187499955331675829187

cado polynomial
n: 1814344177037555451847823928066793712463314120437646835553273298649151516744933948700407961131301202888068331031057361288136649259026102628411
skew: 0.56
type: snfs
c0: 7
c5: 125
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 125*x^5+7
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13500000
tasks.lim1 = 13500000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 16992169215202440916920186304333369579204464611073682637824553 106775312442999336014582159664871575376624972906044249245314187499955331675829187
Info:Square Root: Total cpu/real time for sqrt: 664.47/215.257
Info:Quadratic Characters: Total cpu/real time for characters: 83.23/37.3434
Info:Generate Free Relations: Total cpu/real time for freerel: 119.36/31.7752
Info:Square Root: Total cpu/real time for sqrt: 664.47/215.257
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28234788
Info:Lattice Sieving: Average J: 1894.09 for 2786753 special-q, max bucket fill -bkmult 1.0,1s:1.138890
Info:Lattice Sieving: Total time: 634115s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.71/2.5949
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 538.45/576.206
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 478.59999999999997s
Info:Filtering - Merging: Merged matrix has 2420345 rows and total weight 411639964 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 667.75/182.44
Info:Filtering - Merging: Total cpu/real time for replay: 92.43/82.7633
Info:Linear Algebra: Total cpu/real time for bwc: 101905/26128.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 65235.53, WCT time 16657.63, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (75776 iterations)
Info:Linear Algebra: Lingen CPU time 519.03, WCT time 131.49
Info:Linear Algebra: Mksol: CPU time 35292.9,  WCT time 9050.19, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37888 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 422.17/419.76
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 122.58/117.947
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 117.19999999999999s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.29998e+06/262971
16992169215202440916920186304333369579204464611073682637824553 106775312442999336014582159664871575376624972906044249245314187499955331675829187

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)

33975900207381206249176888792757892948557125052569219861129953860611815227614038237253562641388144184682911346492002470537489162925030066443947043066186379125079085625495234783416091033<185>

29914347606748523685551802674787402195997<41>

1135772728659354653230526517950600557428840319688030932141282463804640394712120816614080163627445395290535793678968571547050694296050788785250989<145>

C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3785720606 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 33975900207381206249176888792757892948557125052569219861129953860611815227614038237253562641388144184682911346492002470537489162925030066443947043066186379125079085625495234783416091033 (185 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3785720606
Step 1 took 4204ms
Step 2 took 3906ms
********** Factor found in step 2: 29914347606748523685551802674787402195997
Found probable prime factor of 41 digits: 29914347606748523685551802674787402195997
Composite cofactor 1135772728659354653230526517950600557428840319688030932141282463804640394712120816614080163627445395290535793678968571547050694296050788785250989 has 145 digits

1135772728659354653230526517950600557428840319688030932141282463804640394712120816614080163627445395290535793678968571547050694296050788785250989<145>

596180601407382850427439863417467531390520726364920992010060263956192529<72>
1905081658105237572221142083273597728032572514648552985638151123661003741<73>

CADO



STA:Wed 07 Feb 2024 01:02:49 AEDT (1135772728659354653230526517950600557428840319688030932141282463804640394712120816614080163627445395290535793678968571547050694296050788785250989 - C145)



/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 1135772728659354653230526517950600557428840319688030932141282463804640394712120816614080163627445395290535793678968571547050694296050788785250989 2>&1 | tee -a log-23



Debug:root: Looking for parameter file for c145 in directory /home/vboxuser/Math/cado-nfs/parameters/factor

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

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

Info:root: No database exists yet

Info:root: Created temporary directory /tmp/cado.sk40c38h

Info:Database: Opened connection to database /tmp/cado.sk40c38h/c145.db

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

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

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

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

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

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

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

Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 1135772728659354653230526517950600557428840319688030932141282463804640394712120816614080163627445395290535793678968571547050694296050788785250989

Debug:root: Root parameter dictionary:

N = 1135772728659354653230526517950600557428840319688030932141282463804640394712120816614080163627445395290535793678968571547050694296050788785250989

name = c145

===

n: 1135772728659354653230526517950600557428840319688030932141282463804640394712120816614080163627445395290535793678968571547050694296050788785250989

skew: 496967.52

c0: -3536647596947446399333338250150384

c1: 28156863996116992996299906052

c2: 60300106979809501329114

c3: -246950396376976072

c4: -250849203635

c5: 138600

Y0: -8416881453510153420399288123

Y1: 137616695591658150179

# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=2.684e+14) = 4.943e-07

# f(x) = 138600*x^5-250849203635*x^4-246950396376976072*x^3+60300106979809501329114*x^2+28156863996116992996299906052*x-3536647596947446399333338250150384

# g(x) = 137616695591658150179*x-8416881453510153420399288123

===



Info:Square Root: finished

Info:Square Root: Factors: 596180601407382850427439863417467531390520726364920992010060263956192529 1905081658105237572221142083273597728032572514648552985638151123661003741

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

Info:Complete Factorization / Discrete logarithm: Square Root

Info:Square Root: Total cpu/real time for sqrt: 4529.52/554.811

Info:HTTP server: Got notification to stop serving Workunits

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

Info:Polynomial Selection (root optimized): Total time: 6498.21

Info:Polynomial Selection (root optimized): Rootsieve time: 6491.57

Info:Lattice Sieving: Aggregate statistics:

Info:Lattice Sieving: Total number of relations: 85042446

Info:Lattice Sieving: Average J: 7822.6 for 426168 special-q, max bucket fill -bkmult 1.0,1s:1.330810

Info:Lattice Sieving: Total time: 3.38555e+06s

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

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

Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 92704/42.670/53.627/65.380/2.264

Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78807/42.200/46.619/56.700/1.187

Info:Polynomial Selection (size optimized): Total time: 90883.1

Info:Square Root: Total cpu/real time for sqrt: 4529.52/554.811

Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1922.26/1924.7

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

Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1660.6s

Info:Quadratic Characters: Total cpu/real time for characters: 97.11/27.199

Info:Generate Free Relations: Total cpu/real time for freerel: 783.99/86.0601

Info:Filtering - Singleton removal: Total cpu/real time for purge: 588.57/157.99

Info:Generate Factor Base: Total cpu/real time for makefb: 11.46/3.06165

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 720.11/5117.45

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

Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 5116.5s

Info:Filtering - Merging: Total cpu/real time for merge: 389.53/69.9923

Info:Filtering - Merging: Total cpu/real time for replay: 52.78/45.955

Info:Linear Algebra: Total cpu/real time for bwc: 79609.6/17192.2

Info:Linear Algebra: Aggregate statistics:

Info:Linear Algebra: Krylov: CPU time 46423.17, WCT time 10532.59, iteration CPU time 0.05, COMM 0.06, cpu-wait 0.03, comm-wait 0.01 (72000 iterations)

Info:Linear Algebra: Lingen CPU time 207.7, WCT time 48.34

Info:Linear Algebra: Mksol: CPU time 28462.94,  WCT time 5804.94, iteration CPU time 0.07, COMM 0.06, cpu-wait 0.02, comm-wait 0.0 (36000 iterations)

Info:HTTP server: Shutting down HTTP server

Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.74477e+06/262191 [3d 00:49:51]

Info:root: Cleaning up computation data in /tmp/cado.sk40c38h

596180601407382850427439863417467531390520726364920992010060263956192529 1905081658105237572221142083273597728032572514648552985638151123661003741



END:Sat 10 Feb 2024 01:52:44 AEDT (1135772728659354653230526517950600557428840319688030932141282463804640394712120816614080163627445395290535793678968571547050694296050788785250989 - C145)

807579543518445454297309062266724867998429639614049053651661551095367248838514163586079258959805041760386185554149515997604864663072269018271169313318944987049100657002672704250085675152913731<192>

335300103703651894254358156595981163686792093597583026524548448075911513923333<78>
2408527568581392497517868957457261749078806601526267778243207494414245266177816596492777422505005904042746709648807<115>

Number: n
N=807579543518445454297309062266724867998429639614049053651661551095367248838514163586079258959805041760386185554149515997604864663072269018271169313318944987049100657002672704250085675152913731  ( 192 digits)
SNFS difficulty: 204 digits.
Divisors found:

Fri Aug 11 15:02:25 2023  prp78 factor: 335300103703651894254358156595981163686792093597583026524548448075911513923333
Fri Aug 11 15:02:25 2023  prp115 factor: 2408527568581392497517868957457261749078806601526267778243207494414245266177816596492777422505005904042746709648807
Fri Aug 11 15:02:25 2023  elapsed time 01:57:34 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.098).
Factorization parameters were as follows:
#
# N = 25x10^203+14 = 83(202)8
#
n: 807579543518445454297309062266724867998429639614049053651661551095367248838514163586079258959805041760386185554149515997604864663072269018271169313318944987049100657002672704250085675152913731
m: 50000000000000000000000000000000000000000
deg: 5
c5: 4
c0: 7
skew: 1.12
# Murphy_E = 1.5e-11
type: snfs
lss: 1
rlim: 17600000
alim: 17600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17600000/17600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2935448 hash collisions in 18170914 relations (16106080 unique)
Msieve: matrix is 1952363 x 1952588 (551.4 MB)

Sieving start time: 2023/08/11 02:55:05
Sieving end time  : 2023/08/11 13:04:25

Total sieving time: 10hrs 9min 20secs.

Total relation processing time: 1hrs 51min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 42sec.

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

2092312053302676787046280554396810011806338510726488213442764155137632155942489177724251877941391398417670007794616970137133081461403730215850202176433578483079<160>

15893842532408797404266752367003220019609<41>
131642933358392574365245297015053025140253281785706723162288480674533482513409424133359687653928690616663286530048332831<120>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3794907606
Step 1 took 27474ms
Step 2 took 12625ms
********** Factor found in step 2: 15893842532408797404266752367003220019609
Found prime factor of 41 digits: 15893842532408797404266752367003220019609
Prime cofactor 131642933358392574365245297015053025140253281785706723162288480674533482513409424133359687653928690616663286530048332831 has 120 digits

241496215794178518077589178381674888587717998244664982228331003187667134570414219280752801293859955336843008913711425865623012977318194015387670699024476465712802980806636711<174>

66952441004110104707836416480974841804312087792431692526852344310314401187590814428214380230372461702940676201852820998498304426159299680282746119096802822560263<161>

44938915975122783319550880436867043892526997795968723590233944386318957031811468271861809056158130388295255296493475347241929605362743505751806099995391973723364353022233<170>

5369688144981310144983877828138689273315817<43>
8368999234550370466975166263600153828245541586479457647946074661460462541633340170366571834014891130028542425607099365851721649<127>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3672211947
Step 1 took 27613ms
Step 2 took 12767ms
********** Factor found in step 2: 5369688144981310144983877828138689273315817
Found prime factor of 43 digits: 5369688144981310144983877828138689273315817
Prime cofactor 8368999234550370466975166263600153828245541586479457647946074661460462541633340170366571834014891130028542425607099365851721649 has 127 digits

952256152849467979486373872753466926134570760691717146129943508015663794255332759503656874569034110230374976148537599895889173177126558427636980811197716906951568604727158800641252369235961174950047<198>

21828806839341877198911314976810104689023437<44>

43623829733708790127575207687444719621561599677289115115920160114034679316272723318143197566637242110239181228959667641801605793938412112975024666377365531<155>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3911955099
Step 1 took 86956ms
Step 2 took 33340ms
********** Factor found in step 2: 21828806839341877198911314976810104689023437
Found prime factor of 44 digits: 21828806839341877198911314976810104689023437
Composite cofactor 43623829733708790127575207687444719621561599677289115115920160114034679316272723318143197566637242110239181228959667641801605793938412112975024666377365531 has 155 digits

11461749094934580117684610323053474622107124685490916442671905351109104578839297416277494549949461665097300527686723047342401558376005043584591884171436980590156913883560547<173>

79854595641561723354166439081069088215755107292315285619765251764610883568102650335699137525648497574113209924124718568448580444018382911218746588212401214275369693238890261323205981863040935829421895529618357<209>

124424531473876947518298911076711773048133877905928545454276323208673045980177950149467208086660752130057586195768857494729446902591702763851725702391899372620607503446598708181577572949254634354183817<201>

21460758984832745079100522145529444854856499<44>

5797769387457973587535334255178620896733668573115532047642851921607707153805809918054456182559859019767931878932483890120929270311896444816994014275245305683<157>

Resuming ECM residue saved by @47cd6a8467bc with GMP-ECM 7.0.5-dev on Thu Nov 10 16:59:16 2022 
Input number is 124424531473876947518298911076711773048133877905928545454276323208673045980177950149467208086660752130057586195768857494729446902591702763851725702391899372620607503446598708181577572949254634354183817 (201 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1579495241
Step 1 took 0ms
Step 2 took 16693ms
********** Factor found in step 2: 21460758984832745079100522145529444854856499
Found prime factor of 44 digits: 21460758984832745079100522145529444854856499
Composite cofactor 5797769387457973587535334255178620896733668573115532047642851921607707153805809918054456182559859019767931878932483890120929270311896444816994014275245305683 has 157 digits

105177828877230477209347903003500500317038175945727543530838792076566850653664828083417449450402115895478350764184700531523699648941959838308242171884469242000750683927856544319828236242497641042756208881<204>

589916812319700430614202153639006714264727518631503209043287693970983981642145305049048457778392304673982179930865533198089210571367938000520711142351026678644554528251833147<174>

975808797790411996341755811896414307136254646826833<51>
604541395461373012561955243828864341646197273606104466506759385345494193263619057282954703914658609927323483310584657850059<123>

Number: 83338_219
N = 589916812319700430614202153639006714264727518631503209043287693970983981642145305049048457778392304673982179930865533198089210571367938000520711142351026678644554528251833147 (174 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=975808797790411996341755811896414307136254646826833 (pp51)
r2=604541395461373012561955243828864341646197273606104466506759385345494193263619057282954703914658609927323483310584657850059 (pp123)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 24.30 hours.
Factorization parameters were as follows:
n: 589916812319700430614202153639006714264727518631503209043287693970983981642145305049048457778392304673982179930865533198089210571367938000520711142351026678644554528251833147
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 5
c0: 28
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30801112
Relations: 7589120 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 8.31 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 6534531 x 6534756
Matrix solve time: 15.61 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 24.30 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_Factory, Msieve

30058872008735878031656018271483422863748675490039618588073772796242999753926380266280436541292861908893156734829729741789203435092047897686223197569152926585053194273675630367359755544909313483<194>

252307823831448306627983822122298242595769864670679<51>
119135711101913367058180580723275868156645339465304534938351592629695395714595284259181885887009493738572083044345286846751362898560660356632877<144>

Number: 83338_220
N = 30058872008735878031656018271483422863748675490039618588073772796242999753926380266280436541292861908893156734829729741789203435092047897686223197569152926585053194273675630367359755544909313483 (194 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=252307823831448306627983822122298242595769864670679 (pp51)
r2=119135711101913367058180580723275868156645339465304534938351592629695395714595284259181885887009493738572083044345286846751362898560660356632877 (pp144)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 22.62 hours.
Factorization parameters were as follows:
n: 30058872008735878031656018271483422863748675490039618588073772796242999753926380266280436541292861908893156734829729741789203435092047897686223197569152926585053194273675630367359755544909313483
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 25
c0: 14
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31814110
Relations: 7349050 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 8.32 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 6408844 x 6409070
Matrix solve time: 13.94 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 22.62 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

35129990447535401687291590576176098796789435373123931441256607973092983035340970879723274001408108376037321147727641401855147969583011154915116081888843777218223111175259529083473<179>

38200848461444447310271420766534208880215824790155717805324596663998099183803519975137<86>
919612832238309646310768902455279140978463663089379381845077088971805177700945903793563228529<93>

Number: 83338_221
N = 35129990447535401687291590576176098796789435373123931441256607973092983035340970879723274001408108376037321147727641401855147969583011154915116081888843777218223111175259529083473 (179 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=38200848461444447310271420766534208880215824790155717805324596663998099183803519975137 (pp86)
r2=919612832238309646310768902455279140978463663089379381845077088971805177700945903793563228529 (pp93)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 9.92 hours.
Factorization parameters were as follows:
n: 35129990447535401687291590576176098796789435373123931441256607973092983035340970879723274001408108376037321147727641401855147969583011154915116081888843777218223111175259529083473
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 125
c0: 7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 0
Relations: 7475038 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 8.19 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 6497298 x 6497523
Matrix solve time: 1.33 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 9.92 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

4065422266653314554770709974325214082968983010845196862489727469607507528741372538997833996163623864587280932760307473813324623374739782967960825385021181053398546272191964935004628148306732861645883<199>

61230001314258843105281049407160159152193229996204750045535424899<65>
66395919963937442365759482543946175016598620900765063352191136133889689697483788609744927846567281356690921372135655039290985951837417<134>

Number: 83338_222
N = 4065422266653314554770709974325214082968983010845196862489727469607507528741372538997833996163623864587280932760307473813324623374739782967960825385021181053398546272191964935004628148306732861645883 (199 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=61230001314258843105281049407160159152193229996204750045535424899 (pp65)
r2=66395919963937442365759482543946175016598620900765063352191136133889689697483788609744927846567281356690921372135655039290985951837417 (pp134)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 45.17 hours.
Factorization parameters were as follows:
n: 4065422266653314554770709974325214082968983010845196862489727469607507528741372538997833996163623864587280932760307473813324623374739782967960825385021181053398546272191964935004628148306732861645883
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1250
c0: 7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31708501
Relations: 8798904 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 15.92 hours.
Total relation processing time: 0.45 hours.
Pruned matrix : 7494610 x 7494835
Matrix solve time: 28.50 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 45.17 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

6452945124154664188735738991275618192142894016829280883795364204222807289246812245108667595890764544938309844613081410355686335243405090083113933199112074750916318207629962314800474936761137783284290950389757885498941717<220>

626391236613978657312850304160382878020823846978990414862165883851119211756536661710110286755025944782761803340428583283568708011701692537674017798347064103282937091073774972958977579041424315891311199515869<207>

71031722104170699169156800626158827798779<41>
8818471776530382956902045042245369429558114075382546089776153381995561119538574381110175331776334712177941665564073511851268186678481448367264494346573779924524296711<166>

Resuming ECM residue saved by @80f64d3c58eb with GMP-ECM 7.0.5-dev on Fri Jul 29 12:53:27 2022 
Input number is 626391236613978657312850304160382878020823846978990414862165883851119211756536661710110286755025944782761803340428583283568708011701692537674017798347064103282937091073774972958977579041424315891311199515869 (207 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2934049869
Step 1 took 0ms
Step 2 took 3392ms
********** Factor found in step 2: 71031722104170699169156800626158827798779
Found prime factor of 41 digits: 71031722104170699169156800626158827798779
Prime cofactor 8818471776530382956902045042245369429558114075382546089776153381995561119538574381110175331776334712177941665564073511851268186678481448367264494346573779924524296711 has 166 digits

528341206310279682697168352967398559323907209959998433893532292859253891530514542131433965159002991180450245274266461605339143928140683805671358716096757267049119196670988469415196096240138511225716267829373447882713<216>

10098207967352225491901259549733612737307345300328525314811861984518618411290589477367678101037065896680588780171166843185866358982901759147623365667075823787258523636265721847774881385769470435373160113<203>

3597168336276308045856551023270081026584522494315703303203346554144646553561613895797683389018055832350430024873891780842078616658594580150128777421896844627662111764191519510544780316393269175271637944397902223<211>

162903568618315273895723333682451135289611217058717121<54>
22081580942554488906654196811287346927859061784832709445139931773159123620418063608495126811244899180779981259144386227227241654346443428781350768020093731663<158>

Resuming ECM residue saved by @40ab70930cd3 with GMP-ECM 7.0.5-dev on Mon Aug 22 18:01:31 2022 
Input number is 3597168336276308045856551023270081026584522494315703303203346554144646553561613895797683389018055832350430024873891780842078616658594580150128777421896844627662111764191519510544780316393269175271637944397902223 (211 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3662435371
Step 1 took 0ms
Step 2 took 37883ms
********** Factor found in step 2: 162903568618315273895723333682451135289611217058717121
Found prime factor of 54 digits: 162903568618315273895723333682451135289611217058717121
Prime cofactor 22081580942554488906654196811287346927859061784832709445139931773159123620418063608495126811244899180779981259144386227227241654346443428781350768020093731663 has 158 digits

8882768069504462347367396261704823485186030035126018054048445906429631777285553989819637170902325792929174492385335900097994697342773228616157115559127612688572283347510231172262455239731697767014231615690237269394458147594653<226>

3174401660118838915599073257793831645352709053919447070471277505578544257921563660521186565164192362070985741649264652323682588741198851107318335154280721588402314453680599313704495142464113003948898403692191709011<214>

338274355981466837050354768343236207005671518417195202835836285981889241054465678766589142860108616073056769512740071031340133842602761511119282925107087384194960600805992393103913209047871868691<195>

1126709460310077194855444283730329491736211231222362500499759198483324648039619397568035937431221706256962728184137643794776372270671131181277341615422790987159588312222181035677916119664034473520572781787964856126861844061<223>

61015337088593485291182771901275559808757736028509828153315865357930304073329543489427266733573037420287055398981058891424834476774018042228081833499459997872468763656794427<173>

8984718042014388106939042568639057<34>
6791013007116442516161482841794697559839501075161672480568145629871027696059367098714451119463256777697360795979881058258463073868377406411<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4128286362
Step 1 took 8007ms
Step 2 took 4059ms
********** Factor found in step 2: 8984718042014388106939042568639057
Found prime factor of 34 digits: 8984718042014388106939042568639057
Prime cofactor 6791013007116442516161482841794697559839501075161672480568145629871027696059367098714451119463256777697360795979881058258463073868377406411 has 139 digits

13506051713422843456146489542367365511996878685039322737469893876143286311062368215823402168699274210302875598012767565298935258585438860377580038730930581919697704267917<170>

51184922355720101164636012481336835424671617355636827984502143660703239313023225614855012162984672317905897705683620764909444447836769533835835773218372189522527037471923933424316771034910584082057572722463342197826583223461522363<230>

16938103473604241415047542254293227982128938231233018549661940381439197719380052830979582158603969778452764992042603391466411766073069024223315010594276191197771182223213162397227<179>

5367425732899617120723844571762528422668160535202931989078866192541335750910720957609545042106323834269140958321212477791095552052301592183755725524683648752566907330035037021195276111586503<190>

126936342886817219794080315793842714275761329895459286013343520900544762638621907232150498028337465644123371175485287125881411039193797669624237806462884226379289197836360482127533193964008455276461<198>

276209263572074424259829223013822487565291417467616901131896099974409730544309973515573804911255449498662245976629726531962266723951238060173301799306316639709492089843<168>

857063716661617330148721237755141686232320622649333421524249718995564248491346249189422438700770507132076310346180209869772492517130435646682481839577847555835891535369851763502224756707316902210722509015789083<210>

3197200238988455039070472890857851979164067873510849482447653973370984163791736852463621617835046795736958678381414332357598426365638438327623561270934869756282679153151151886550998325444066243224313712065869761385038713084197953<229>

2555888967025120445299911495885274157738697101202518639981023446175635548633085550103133715444062420907293876774463223668441534832603598826457021356970974271434818971413330506678805390623040308875437389884672694046757719390369871491423798619<241>

3265332992747895280531104421384513289938809962086455768634606135518576091431509012378182639743809193284384296318000501130289333935799920638754989361608197334677611777664951480219673774773235121616203051<202>

720325742950908547034155745711763798734498503<45>

4533133828274735707522438378468207269787332172069081484244207531489465738271986074424422463705951828724628727491537452075675079096203484912512917358289659517<157>

Resuming ECM residue saved by @47cd6a8467bc with GMP-ECM 7.0.5-dev on Thu Nov 10 18:25:08 2022 
Input number is 3265332992747895280531104421384513289938809962086455768634606135518576091431509012378182639743809193284384296318000501130289333935799920638754989361608197334677611777664951480219673774773235121616203051 (202 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1664624500
Step 1 took 0ms
Step 2 took 11233ms
********** Factor found in step 2: 720325742950908547034155745711763798734498503
Found prime factor of 45 digits: 720325742950908547034155745711763798734498503
Composite cofactor 4533133828274735707522438378468207269787332172069081484244207531489465738271986074424422463705951828724628727491537452075675079096203484912512917358289659517 has 157 digits

159941455821518259770657718397356152003279479835918732903898357111845215246054017804812125545592213690917186261292031215380317710996799318958928205028913461985593741708778834465088986641708563441419959995285803930780455657940001435843<234>

121030948142142182643079813098539431063694824473146430988780669522548448257870498209649031541331132892059156712698794310544720072295435599093732413799114844611170386998500601304903878189431886693498167369423439363520403457104479667146261<237>

24065538298700276360703024321949495406336934965517080708720535016064896539208741384567118910100093119350435696527727356103727912692505402082811044500943341979526124240585485332252462111331879<191>

141438532023236638725928885206405134325729376091885381310500745862740777361148341738510777261257277220001562504816622840932525609454022144308750672502525110410951891792732631709574185392273267421324271822188445885886057<219>

3443526170798898071625344352617079889807162534435261707988980716253443526170798898071625344352617079889807162534435261707988980716253443526170798898071625344352617079889807162534435261707988980716253443526170798898071625344352617079889807162534435261707989<256>

36475997734481620269074888668754518521581<41>

94405263314940159418793683512783988911128378659246037581020226291449122382125046583114896500491463776266637492040362169476482722339223685373581449893414829616202016241031693033277593891710745948995055788913049016969<215>

Resuming ECM residue saved by @f9884c4e95fd with GMP-ECM 7.0.5-dev on Sat Jun 11 15:07:47 2022 
Input number is 3443526170798898071625344352617079889807162534435261707988980716253443526170798898071625344352617079889807162534435261707988980716253443526170798898071625344352617079889807162534435261707988980716253443526170798898071625344352617079889807162534435261707989 (256 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1737688918
Step 1 took 0ms
Step 2 took 6606ms
********** Factor found in step 2: 36475997734481620269074888668754518521581
Found prime factor of 41 digits: 36475997734481620269074888668754518521581
Composite cofactor 94405263314940159418793683512783988911128378659246037581020226291449122382125046583114896500491463776266637492040362169476482722339223685373581449893414829616202016241031693033277593891710745948995055788913049016969 has 215 digits

94405263314940159418793683512783988911128378659246037581020226291449122382125046583114896500491463776266637492040362169476482722339223685373581449893414829616202016241031693033277593891710745948995055788913049016969<215>

10544734722488857423012552326881949560536159<44>

8952834357568156173677393648849194200513356705678574791735594000356483585864262607604473922150514802687687021960073025544686393189269354075064319344783297921036685657133591<172>

Resuming ECM residue saved by @40ab70930cd3 with GMP-ECM 7.0.5-dev on Mon Aug 22 18:55:12 2022 
Input number is 94405263314940159418793683512783988911128378659246037581020226291449122382125046583114896500491463776266637492040362169476482722339223685373581449893414829616202016241031693033277593891710745948995055788913049016969 (215 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2327147155
Step 1 took 0ms
Step 2 took 39153ms
********** Factor found in step 2: 10544734722488857423012552326881949560536159
Found prime factor of 44 digits: 10544734722488857423012552326881949560536159
Composite cofactor 8952834357568156173677393648849194200513356705678574791735594000356483585864262607604473922150514802687687021960073025544686393189269354075064319344783297921036685657133591 has 172 digits

88858558500920574666069537153540480404910679376994874638345666901253261109096983785090244752013534935630860221933135711899227285975275994682703859304912811982398896732137652570144946080626701641395292629004855231636490300199754039510069451849324319521159<254>

14136046794515171225215172093827544305522281603584324312465431931850823535711126684633883699799640453315964541629475301404855608272226802558419012695539414394237247543456451678609671556009775847475149947212573695471922094977948235840777553488653<245>

508189179535248032886756693599633697893471437735617031365120621545887049727519938580499160362932505173533696159708028381200126039537719562868810229914680744944813440747061034538249493609235756337288395048063003910716999803<222>

247321480932406599178460231953664011<36>

2054771698840575194207428726279687786727668151056533113541427010587725247574139133204695765977510602327674097016555168958320645655658908629508017270762593151894885933792121122594331957073<187>

Resuming ECM residue saved by @80f64d3c58eb with GMP-ECM 7.0.5-dev on Fri Jul 29 13:45:05 2022 
Input number is 508189179535248032886756693599633697893471437735617031365120621545887049727519938580499160362932505173533696159708028381200126039537719562868810229914680744944813440747061034538249493609235756337288395048063003910716999803 (222 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1243080555
Step 1 took 0ms
Step 2 took 3926ms
********** Factor found in step 2: 247321480932406599178460231953664011
Found prime factor of 36 digits: 247321480932406599178460231953664011
Composite cofactor 2054771698840575194207428726279687786727668151056533113541427010587725247574139133204695765977510602327674097016555168958320645655658908629508017270762593151894885933792121122594331957073 has 187 digits

5567961754751441488531168797811816653694600301529635327927983261778233595955227294773455568517986710323493600512228095037167137063985861419412232167230211174460280680814835039613047444358954301146718944953777506624712406683194880335010961421779<244>

22481018617827400602920744593971574202062759730179414642040236522969253555609723187026064104959049392249565646012510400473140215994000029132061021891582602643347506994567239063201419918723972386697826901675399<209>

302023545822673137865247389629703498242704793077781226878242416984816679927241944753536580242501670932168183993555023905359549742397682262156902474932477771426178278413973801808550819103640806115744958984099329349813<216>

91047654642770639761006800358629586054077484593352067143542720579464134804758569967815403994615602187447659665509840504134590648939706252310492741786859038867520693201019059290231699546822837963278538862434753204525953676751402173214700720257<242>

26249817674123295416600309985533140173677310591082219887512758307891472631690416557042478312522073280768091182509182272331851478369067347200904485706686360335934824182741887998035135488172608002763944630709201691442332493<221>

33305596432624243863044190131791577307751437935820382119104543069864749969558684860581441109177610219542498340715185726660170743138447634143618527823362037428562826211664259338156516586320245832603940771458862392732665569447097790293576842538866964924943840103295309<266>

6311720693232792849449468705473880921282451544499929958526398251756119301619151188385599998720668822361543552092290904420322170473451715177122221289959223247851446705014316121103841784333804443869763621227762180470608278373379520398024438118556419739<250>

798429059963144163995743014667336149334186947042344242575416326863570612216737142326080876618397884086332084417534766113404601270267787323171405187607401986675876099476885525777674787382224840140892226297505494367250497138409663067<231>

1151951415145667297948954530025407<34>

693110012684155348050574254510654214989826152516979367377066482295417270098552725707928951705490669619576927881279636312754002657306220720889267189128071259101571827125269277357125612282506076769381<198>

Resuming ECM residue saved by @80f64d3c58eb with GMP-ECM 7.0.5-dev on Fri Jul 29 14:07:16 2022 
Input number is 798429059963144163995743014667336149334186947042344242575416326863570612216737142326080876618397884086332084417534766113404601270267787323171405187607401986675876099476885525777674787382224840140892226297505494367250497138409663067 (231 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3534494453
Step 1 took 0ms
Step 2 took 5206ms
********** Factor found in step 2: 1151951415145667297948954530025407
Found prime factor of 34 digits: 1151951415145667297948954530025407
Composite cofactor 693110012684155348050574254510654214989826152516979367377066482295417270098552725707928951705490669619576927881279636312754002657306220720889267189128071259101571827125269277357125612282506076769381 has 198 digits

67346622576010904049886980101046065549651865255555482225841070792489186968869505804530596855138683532456140642170476242751219255157823482245934313856674427069390430482957937986581444376326393963838340037143938806594057710172236129419239117824398264760365954405987<263>

949079064433524528163335647330801366680588453457258747003726927689587885403911757606551842396508642257360482152048196208002858267582565528877791864004206583722543158894821229680994153375194970910438577644982993595777802298734977639460639555864194163462347<255>

46279426755887370399422483192940937322825281<44>

20507580386414116644877933523644362095837536905053536713467565888123537574040153572489107889797986920954479155075302202656559937634812059761322084110686145020909267885601152428135565275457558048806234030234110987<212>

Resuming ECM residue saved by @f9884c4e95fd with GMP-ECM 7.0.5-dev on Sat Jun 11 14:45:25 2022 
Input number is 949079064433524528163335647330801366680588453457258747003726927689587885403911757606551842396508642257360482152048196208002858267582565528877791864004206583722543158894821229680994153375194970910438577644982993595777802298734977639460639555864194163462347 (255 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1771647679
Step 1 took 0ms
Step 2 took 6603ms
********** Factor found in step 2: 46279426755887370399422483192940937322825281
Found prime factor of 44 digits: 46279426755887370399422483192940937322825281
Composite cofactor 20507580386414116644877933523644362095837536905053536713467565888123537574040153572489107889797986920954479155075302202656559937634812059761322084110686145020909267885601152428135565275457558048806234030234110987 has 212 digits

20507580386414116644877933523644362095837536905053536713467565888123537574040153572489107889797986920954479155075302202656559937634812059761322084110686145020909267885601152428135565275457558048806234030234110987<212>

376442968374690887627238228698288347891<39>
54477257139259365343946446430880814237987396006726997091507066019343276069984260786066562029592157859075670295016463289260360710143282199110158371879129955315205254291333257<173>

Resuming ECM residue saved by @40ab70930cd3 with GMP-ECM 7.0.5-dev on Mon Aug 22 19:27:24 2022 
Input number is 20507580386414116644877933523644362095837536905053536713467565888123537574040153572489107889797986920954479155075302202656559937634812059761322084110686145020909267885601152428135565275457558048806234030234110987 (212 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1129065171
Step 1 took 0ms
Step 2 took 36506ms
********** Factor found in step 2: 376442968374690887627238228698288347891
Found prime factor of 39 digits: 376442968374690887627238228698288347891
Prime cofactor 54477257139259365343946446430880814237987396006726997091507066019343276069984260786066562029592157859075670295016463289260360710143282199110158371879129955315205254291333257 has 173 digits

1559925066548316635698549525472909521703091693693146692564262621357724733964006957390714544105538769845215571044089325283759896220751254558767885389403398594212416261622040811043360995275249351939563870163163056518887650065794566449601<235>

186610772521527930315768631616283111500290736133418801878552339174185427368699496685185035216894240394294050287818831521989437643330687365838909022592450948647742817251839616096591082489866018587<195>

19431220961547564465683683137361756619<38>
9603656553070541208729398204578251377030440303617999112987991728450206402803779309161538444740278860006794333881685120750065601185123036631452444044953906673<157>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1956848073
Step 1 took 36528ms
Step 2 took 11789ms
********** Factor found in step 2: 19431220961547564465683683137361756619
Found probable prime factor of 38 digits: 19431220961547564465683683137361756619
Probable prime cofactor 9603656553070541208729398204578251377030440303617999112987991728450206402803779309161538444740278860006794333881685120750065601185123036631452444044953906673 has 157 digits