4210311935157279629335886936479121748513172401503179275082198996966617122065755281004051690880856005373533<106>

27889433005024882225014896825736318257002968707<47>
150964414887843048811934976997676964869685736811782234108319<60>

N=4210311935157279629335886936479121748513172401503179275082198996966617122065755281004051690880856005373533
  ( 106 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=27889433005024882225014896825736318257002968707 (pp47)
 r2=150964414887843048811934976997676964869685736811782234108319 (pp60)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.41 hours.
Scaled time: 3.22 units (timescale=7.880).
Factorization parameters were as follows:
n: 4210311935157279629335886936479121748513172401503179275082198996966617122065755281004051690880856005373533
m: 1000000000000000000000000000
deg: 4
c4: 2150
c0: -17
skew: 0.30
# Murphy_E = 7.75e-08
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [250000, 550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 63560 x 63808
Total sieving time: 0.40 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,111.000,4,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.41 hours.

GNFS, Msieve

15772815611361147485961127492999224572401624549070217048616706000022624777801061229082464561<92>

843483585384466107156069431006354900611<39>
18699611805927178214863100133294031584838320143899451<53>

15772815611361147485961127492999224572401624549070217048616706000022624777801061229082464561=843483585384466107156069431006354900611*18699611805927178214863100133294031584838320143899451

cado polynomial
n: 15772815611361147485961127492999224572401624549070217048616706000022624777801061229082464561
skew: 0.84
type: snfs
c0: -85
c4: 172
Y0: 500000000000000000000000000000
Y1: -1
# f(x) = 172*x^4-85
# g(x) = -x+500000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 730000
tasks.lim1 = 730000
tasks.lpb0 = 25
tasks.lpb1 = 25
tasks.sieve.mfb0 = 46
tasks.sieve.mfb1 = 46
tasks.sieve.lambda0 = 2.2
tasks.sieve.lambda1 = 2.2
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 18699611805927178214863100133294031584838320143899451 843483585384466107156069431006354900611
Info:Square Root: Total cpu/real time for sqrt: 7.95/2.65027
Info:Filtering - Singleton removal: Total cpu/real time for purge: 29.83/26.2854
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3410357
Info:Lattice Sieving: Average J: 1900.35 for 16447 special-q, max bucket fill -bkmult 1.0,1s:1.356540
Info:Lattice Sieving: Total time: 1586.58s
Info:Linear Algebra: Total cpu/real time for bwc: 50.74/14.56
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 26.9, WCT time 7.55, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1856 iterations)
Info:Linear Algebra: Lingen CPU time 6.11, WCT time 1.58
Info:Linear Algebra: Mksol: CPU time 14.44,  WCT time 4.15, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (896 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 18.46/6.91986
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.65/11.8017
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 11.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 24.97/24.6966
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 19.0s
Info:Filtering - Merging: Merged matrix has 57014 rows and total weight 9698146 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 11.57/3.21452
Info:Filtering - Merging: Total cpu/real time for replay: 1.79/1.48054
Info:Generate Factor Base: Total cpu/real time for makefb: 0.38/0.222175
Info:Quadratic Characters: Total cpu/real time for characters: 1.82/0.708937
Info:Square Root: Total cpu/real time for sqrt: 7.95/2.65027
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2976.81/991.33
Info:root: Cleaning up computation data in /tmp/cado.owsd6oen
18699611805927178214863100133294031584838320143899451 843483585384466107156069431006354900611

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)

191441891484566086514110976834557633226480100405630094458933704028530579748576247<81>

4170080299693921842976121753689421169793<40>
45908442458198624610071219609822616028279<41>

4170080299693921842976121753689421169793

6000343687964845003320697644934622734852849819432089980990958641105368891045172396595935589282214794572594914885609<115>

1770115068191783595163517297795123532968123<43>
3389804310345962291860317445749904067323570367130974937647661425185171883<73>

1770115068191783595163517297795123532968123

58523698871402223377840859012415452222145479725598320429286570369432995992930766971969333117725688698670520573<110>

519620095079676716844898830231853624946299<42>
112627859133177683085638764887495724433979701561333730701159373879527<69>

N=58523698871402223377840859012415452222145479725598320429286570369432995992930766971969333117725688698670520573
  ( 110 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=519620095079676716844898830231853624946299 (pp42)
 r2=112627859133177683085638764887495724433979701561333730701159373879527 (pp69)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.97 hours.
Scaled time: 23.38 units (timescale=7.868).
Factorization parameters were as follows:
n: 58523698871402223377840859012415452222145479725598320429286570369432995992930766971969333117725688698670520573
m: 100000000000000000000000000000000
deg: 4
c4: 2150
c0: -17
skew: 0.30
# Murphy_E = 8.749e-09
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1080000/1080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [540000, 1340001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 162150 x 162381
Total sieving time: 2.95 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131.000,4,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,100000
total time: 2.97 hours.

GNFS, Msieve

30239099859353023909985935302390998593530239099859353023909985935302390998593530239099859353023909985935302390998593530239099859353<131>

4179428161472546420305282398441481288896056045323812290559187171<64>
7235224219932235989149922833187378525943288858807153885570764841043<67>

N=30239099859353023909985935302390998593530239099859353023909985935302390998593530239099859353023909985935302390998593530239099859353
  ( 131 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=4179428161472546420305282398441481288896056045323812290559187171 (pp64)
 r2=7235224219932235989149922833187378525943288858807153885570764841043 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.98 hours.
Scaled time: 23.48 units (timescale=7.893).
Factorization parameters were as follows:
n: 30239099859353023909985935302390998593530239099859353023909985935302390998593530239099859353023909985935302390998593530239099859353
m: 1000000000000000000000000000000000
deg: 4
c4: 43
c0: -34
skew: 0.94
# Murphy_E = 7.415e-09
type: snfs
lss: 1
rlim: 1180000
alim: 1180000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1180000/1180000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [590000, 1390001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 189780 x 190005
Total sieving time: 2.94 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,133.000,4,0,0,0,0,0,0,0,0,1180000,1180000,26,26,47,47,2.3,2.3,100000
total time: 2.98 hours.

GNFS, Msieve

3878122384382203804058510527455896925001653800682305323164460726425009143696495141181118570511<94>

56146570871964645124081221103593277182795413<44>
69071402298562191965957686442726858179516051369747<50>

prp44 = 56146570871964645124081221103593277182795413
prp50 = 69071402298562191965957686442726858179516051369747

Yafu

25058394551684674072739046928474717285905867036900210261855479775415722714554073072834069336437575660172637097696460861<119>

3914919577034065513865092677916697<34>
6400743120927367512358530145940404592889703655540138712150190789959885293673861545413<85>

Sun May  8 16:59:50 2022  Msieve v. 1.53 (SVN unknown)
Sun May  8 16:59:50 2022  random seeds: 390b6238 fd0a36d9
Sun May  8 16:59:50 2022  factoring 25058394551684674072739046928474717285905867036900210261855479775415722714554073072834069336437575660172637097696460861 (119 digits)
Sun May  8 16:59:51 2022  searching for 15-digit factors
Sun May  8 16:59:51 2022  commencing number field sieve (119-digit input)
Sun May  8 16:59:51 2022  R0: -1000000000000000000000000000000000
Sun May  8 16:59:51 2022  R1: 1
Sun May  8 16:59:51 2022  A0: -17
Sun May  8 16:59:51 2022  A1: 0
Sun May  8 16:59:51 2022  A2: 0
Sun May  8 16:59:51 2022  A3: 0
Sun May  8 16:59:51 2022  A4: 2150
Sun May  8 16:59:51 2022  skew 0.30, size 1.922e-14, alpha 1.108, combined = 5.571e-09 rroots = 2
Sun May  8 16:59:51 2022  
Sun May  8 16:59:51 2022  commencing square root phase
Sun May  8 16:59:51 2022  reading relations for dependency 1
Sun May  8 16:59:51 2022  read 106525 cycles
Sun May  8 16:59:51 2022  cycles contain 342700 unique relations
Sun May  8 16:59:54 2022  read 342700 relations
Sun May  8 16:59:54 2022  multiplying 342700 relations
Sun May  8 16:59:58 2022  multiply complete, coefficients have about 10.41 million bits
Sun May  8 16:59:58 2022  initial square root is modulo 959209
Sun May  8 17:00:02 2022  GCD is N, no factor found
Sun May  8 17:00:02 2022  reading relations for dependency 2
Sun May  8 17:00:02 2022  read 106780 cycles
Sun May  8 17:00:03 2022  cycles contain 343114 unique relations
Sun May  8 17:00:05 2022  read 343114 relations
Sun May  8 17:00:06 2022  multiplying 343114 relations
Sun May  8 17:00:10 2022  multiply complete, coefficients have about 10.42 million bits
Sun May  8 17:00:10 2022  initial square root is modulo 975977
Sun May  8 17:00:14 2022  GCD is 1, no factor found
Sun May  8 17:00:14 2022  reading relations for dependency 3
Sun May  8 17:00:14 2022  read 106608 cycles
Sun May  8 17:00:14 2022  cycles contain 342708 unique relations
Sun May  8 17:00:17 2022  read 342708 relations
Sun May  8 17:00:17 2022  multiplying 342708 relations
Sun May  8 17:00:21 2022  multiply complete, coefficients have about 10.41 million bits
Sun May  8 17:00:21 2022  initial square root is modulo 960493
Sun May  8 17:00:25 2022  GCD is N, no factor found
Sun May  8 17:00:25 2022  reading relations for dependency 4
Sun May  8 17:00:25 2022  read 106467 cycles
Sun May  8 17:00:25 2022  cycles contain 342328 unique relations
Sun May  8 17:00:28 2022  read 342328 relations
Sun May  8 17:00:29 2022  multiplying 342328 relations
Sun May  8 17:00:32 2022  multiply complete, coefficients have about 10.40 million bits
Sun May  8 17:00:32 2022  initial square root is modulo 944137
Sun May  8 17:00:37 2022  GCD is 1, no factor found
Sun May  8 17:00:37 2022  reading relations for dependency 5
Sun May  8 17:00:37 2022  read 106488 cycles
Sun May  8 17:00:37 2022  cycles contain 342042 unique relations
Sun May  8 17:00:39 2022  read 342042 relations
Sun May  8 17:00:40 2022  multiplying 342042 relations
Sun May  8 17:00:44 2022  multiply complete, coefficients have about 10.39 million bits
Sun May  8 17:00:44 2022  initial square root is modulo 934793
Sun May  8 17:00:48 2022  sqrtTime: 57
Sun May  8 17:00:48 2022  p34 factor: 3914919577034065513865092677916697
Sun May  8 17:00:48 2022  p85 factor: 6400743120927367512358530145940404592889703655540138712150190789959885293673861545413
Sun May  8 17:00:48 2022  elapsed time 00:00:58
Sun May 08 17:00:48 2022 -> Computing time scale for this machine...
Sun May 08 17:00:48 2022 -> procrels -speedtest> PIPE

7968052432718374458214140463396501597982857101172874308989996358516203364164694478289592202267071433506981<106>

6729176114169120323064562199317564473039131<43>
1184105200626365744146993096583773356734831858335698554871212351<64>

6729176114169120323064562199317564473039131

14237682051775831694853337043210180672438203356482667889701852803315974333014707125155882332359561781015437037661401<116>

560745787103326018412871287666982335632067<42>
25390617957781143768510314659278911187091330952043075742221154788839575603<74>

Tue May 10 13:07:08 2022  Msieve v. 1.53 (SVN unknown)
Tue May 10 13:07:08 2022  random seeds: 3ea64888 9e3b4967
Tue May 10 13:07:08 2022  factoring 14237682051775831694853337043210180672438203356482667889701852803315974333014707125155882332359561781015437037661401 (116 digits)
Tue May 10 13:07:09 2022  searching for 15-digit factors
Tue May 10 13:07:09 2022  commencing number field sieve (116-digit input)
Tue May 10 13:07:09 2022  R0: -10000000000000000000000000000000000
Tue May 10 13:07:09 2022  R1: 1
Tue May 10 13:07:09 2022  A0: -34
Tue May 10 13:07:09 2022  A1: 0
Tue May 10 13:07:09 2022  A2: 0
Tue May 10 13:07:09 2022  A3: 0
Tue May 10 13:07:09 2022  A4: 43
Tue May 10 13:07:09 2022  skew 0.94, size 1.447e-14, alpha 1.699, combined = 4.705e-09 rroots = 2
Tue May 10 13:07:09 2022  
Tue May 10 13:07:09 2022  commencing square root phase
Tue May 10 13:07:09 2022  reading relations for dependency 1
Tue May 10 13:07:09 2022  read 84902 cycles
Tue May 10 13:07:09 2022  cycles contain 261298 unique relations
Tue May 10 13:07:11 2022  read 261298 relations
Tue May 10 13:07:11 2022  multiplying 261298 relations
Tue May 10 13:07:14 2022  multiply complete, coefficients have about 6.87 million bits
Tue May 10 13:07:14 2022  initial square root is modulo 80195993
Tue May 10 13:07:16 2022  sqrtTime: 7
Tue May 10 13:07:16 2022  p42 factor: 560745787103326018412871287666982335632067
Tue May 10 13:07:16 2022  p74 factor: 25390617957781143768510314659278911187091330952043075742221154788839575603
Tue May 10 13:07:16 2022  elapsed time 00:00:08
Tue May 10 13:07:16 2022 -> Computing time scale for this machine...
Tue May 10 13:07:16 2022 -> procrels -speedtest> PIPE

1917883161617995800955794937558930329259301774922920629650918968266486149930037509372002677306768378344915526666346972670767599355261<133>

42528149161586568515860358196849236786126578136963897971<56>
45096793522120130002557200100141686696300078357095807374526942414750183846991<77>

Sun May  8 17:32:57 2022  Msieve v. 1.53 (SVN unknown)
Sun May  8 17:32:57 2022  random seeds: e71ed748 b089e658
Sun May  8 17:32:57 2022  factoring 1917883161617995800955794937558930329259301774922920629650918968266486149930037509372002677306768378344915526666346972670767599355261 (133 digits)
Sun May  8 17:32:57 2022  searching for 15-digit factors
Sun May  8 17:32:58 2022  commencing number field sieve (133-digit input)
Sun May  8 17:32:58 2022  R0: -10000000000000000000000000000
Sun May  8 17:32:58 2022  R1: 1
Sun May  8 17:32:58 2022  A0: -17
Sun May  8 17:32:58 2022  A1: 0
Sun May  8 17:32:58 2022  A2: 0
Sun May  8 17:32:58 2022  A3: 0
Sun May  8 17:32:58 2022  A4: 0
Sun May  8 17:32:58 2022  A5: 2150
Sun May  8 17:32:58 2022  skew 0.38, size 2.815e-10, alpha 0.130, combined = 2.240e-09 rroots = 1
Sun May  8 17:32:58 2022  
Sun May  8 17:32:58 2022  commencing square root phase
Sun May  8 17:32:58 2022  reading relations for dependency 1
Sun May  8 17:32:58 2022  read 120498 cycles
Sun May  8 17:32:58 2022  cycles contain 371822 unique relations
Sun May  8 17:33:01 2022  read 371822 relations
Sun May  8 17:33:02 2022  multiplying 371822 relations
Sun May  8 17:33:07 2022  multiply complete, coefficients have about 11.28 million bits
Sun May  8 17:33:07 2022  initial square root is modulo 3029981
Sun May  8 17:33:14 2022  GCD is N, no factor found
Sun May  8 17:33:14 2022  reading relations for dependency 2
Sun May  8 17:33:14 2022  read 120297 cycles
Sun May  8 17:33:15 2022  cycles contain 371582 unique relations
Sun May  8 17:33:18 2022  read 371582 relations
Sun May  8 17:33:18 2022  multiplying 371582 relations
Sun May  8 17:33:24 2022  multiply complete, coefficients have about 11.27 million bits
Sun May  8 17:33:24 2022  initial square root is modulo 3002521
Sun May  8 17:33:30 2022  GCD is N, no factor found
Sun May  8 17:33:30 2022  reading relations for dependency 3
Sun May  8 17:33:30 2022  read 120494 cycles
Sun May  8 17:33:30 2022  cycles contain 371352 unique relations
Sun May  8 17:33:33 2022  read 371352 relations
Sun May  8 17:33:34 2022  multiplying 371352 relations
Sun May  8 17:33:40 2022  multiply complete, coefficients have about 11.27 million bits
Sun May  8 17:33:40 2022  initial square root is modulo 2977921
Sun May  8 17:33:46 2022  sqrtTime: 48
Sun May  8 17:33:46 2022  p56 factor: 42528149161586568515860358196849236786126578136963897971
Sun May  8 17:33:46 2022  p77 factor: 45096793522120130002557200100141686696300078357095807374526942414750183846991
Sun May  8 17:33:46 2022  elapsed time 00:00:49
Sun May 08 17:33:46 2022 -> Computing time scale for this machine...
Sun May 08 17:33:46 2022 -> procrels -speedtest> PIPE

3994964613285543696926312703565954154932587001556596599189604603745311378061369297302377852660513562405728531358495112529115309717607<133>

652682067456786605533453460924263623620439989461580213457611994217<66>
6120843229004520045051146561140751473699423566381531567972275694671<67>

3994964613285543696926312703565954154932587001556596599189604603745311378061369297302377852660513562405728531358495112529115309717607=652682067456786605533453460924263623620439989461580213457611994217*6120843229004520045051146561140751473699423566381531567972275694671

cado polynomial
n: 3994964613285543696926312703565954154932587001556596599189604603745311378061369297302377852660513562405728531358495112529115309717607
skew: 0.76
type: snfs
c0: -85
c5: 344
Y0: 50000000000000000000000000000
Y1: -1
# f(x) = 344*x^5-85
# g(x) = -x+50000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1900000
tasks.lim1 = 1900000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6120843229004520045051146561140751473699423566381531567972275694671 652682067456786605533453460924263623620439989461580213457611994217
Info:Square Root: Total cpu/real time for sqrt: 37.85/12.5378
Info:Filtering - Singleton removal: Total cpu/real time for purge: 39.6/37.3364
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6096303
Info:Lattice Sieving: Average J: 1893.86 for 91862 special-q, max bucket fill -bkmult 1.0,1s:1.243930
Info:Lattice Sieving: Total time: 9016.81s
Info:Linear Algebra: Total cpu/real time for bwc: 572.77/149.12
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 340.77, WCT time 87.35, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Linear Algebra: Lingen CPU time 28.59, WCT time 7.29
Info:Linear Algebra: Mksol: CPU time 186.33,  WCT time 47.9, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3328 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 30.37/9.70128
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.29/23.4204
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.04/50.2749
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 38.0s
Info:Filtering - Merging: Merged matrix has 208596 rows and total weight 35543121 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 41.6/11.6841
Info:Filtering - Merging: Total cpu/real time for replay: 6.54/5.42456
Info:Generate Factor Base: Total cpu/real time for makefb: 0.83/0.450875
Info:Quadratic Characters: Total cpu/real time for characters: 6.67/2.61961
Info:Square Root: Total cpu/real time for sqrt: 37.85/12.5378
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 17106.2/4941.9
Info:root: Cleaning up computation data in /tmp/cado.eu4t34lc
6120843229004520045051146561140751473699423566381531567972275694671 652682067456786605533453460924263623620439989461580213457611994217

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)

9071172867785661865598619348875766669329242370799893230521025275883233859140511427780848025158779481124392825583<112>

743407276304280760013650765262750327447<39>
12202157763213471733092850891557702690782516625061958952297455437245232489<74>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), 6 threads
GMP-ECM 7.0.5-dev [configured with GMP 6.2.1, --enable-asm-redc, --enable-assert] [ECM]

Run 366 out of 2078:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:32622534
Step 1 took 2390ms
********** Factor found in step 2: 743407276304280760013650765262750327447
Found prime factor of 39 digits: 743407276304280760013650765262750327447

25074143659682059858395231480995548464820976445466070018671490232163245503856170047011103763803899204274966558089793424043421419383129416402221919<146>

234359968133822482774807133319425446948085269964533<51>
106989874846562571533813918108952692254726075681115232257081783919799122872101026205697301159043<96>

Number: n
N=25074143659682059858395231480995548464820976445466070018671490232163245503856170047011103763803899204274966558089793424043421419383129416402221919  ( 146 digits)
SNFS difficulty: 151 digits.
Divisors found:

Tue May 10 02:06:18 2022  p51 factor: 234359968133822482774807133319425446948085269964533
Tue May 10 02:06:18 2022  p96 factor: 106989874846562571533813918108952692254726075681115232257081783919799122872101026205697301159043
Tue May 10 02:06:18 2022  elapsed time 00:05:33 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 43x10^150-34 = 47(149)4
#
n: 25074143659682059858395231480995548464820976445466070018671490232163245503856170047011103763803899204274966558089793424043421419383129416402221919
m: 1000000000000000000000000000000
deg: 5
c5: 43
c0: -34
skew: 0.95
# Murphy_E = 1.502e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1432996 hash collisions in 15899034 relations (15551030 unique)
Msieve: matrix is 532542 x 532779 (60.6 MB)

Sieving start time : 2022/05/10 01:27:54
Sieving end time  : 2022/05/10 02:00:30

Total sieving time: 0hrs 32min 36secs.

Total relation processing time: 0hrs 1min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 13sec.

Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
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)

704582068885291675302424947350510167819290528690134473771776608972840581399676391120628449445761780361293693212424404936173<123>

192911781795919412086345812525253241149<39>
3652353745976314578079572188556030823144764995576272340913640951255579723923278027377<85>

192911781795919412086345812525253241149

466180562561332478492329870476321814939019167387059504943054300305682506136041680559506017366419654322363459876618425141007459<126>

43038987213058683230677075335225926573112698916195080773<56>
10831587654550714112209397577842042807844576766544769879506539972162183<71>

N=466180562561332478492329870476321814939019167387059504943054300305682506136041680559506017366419654322363459876618425141007459
  ( 126 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=43038987213058683230677075335225926573112698916195080773 (pp56)
 r2=10831587654550714112209397577842042807844576766544769879506539972162183 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 14.76 hours.
Scaled time: 115.44 units (timescale=7.819).
Factorization parameters were as follows:
n: 466180562561332478492329870476321814939019167387059504943054300305682506136041680559506017366419654322363459876618425141007459
m: 100000000000000000000000000000000
deg: 5
c5: 43
c0: -34
skew: 0.95
# Murphy_E = 6.197e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 2850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 606407 x 606633
Total sieving time: 14.64 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 14.76 hours.

GNFS, Msieve

23249985344592203560328211524047373629779307228011873286791954839669567796873610450615989803112950071455733017550756457165191598587<131>

1665480703666123445463850375256039435431<40>
13959924779322507928156836428664944093346564633822277975275868396506631647699629593098958477<92>

1665480703666123445463850375256039435431

41829664872751499865963204183182282273826344476472544408085886625594712905095721288897075772542968702909716653827743824861522350087<131>

1996339122813697747311661118661360193058360977577261<52>
20953185956600183109608619908793621560791841738140570659208382006233965044097667<80>

N=41829664872751499865963204183182282273826344476472544408085886625594712905095721288897075772542968702909716653827743824861522350087
  ( 131 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=1996339122813697747311661118661360193058360977577261 (pp52)
 r2=20953185956600183109608619908793621560791841738140570659208382006233965044097667 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 21.33 hours.
Scaled time: 167.42 units (timescale=7.849).
Factorization parameters were as follows:
n: 41829664872751499865963204183182282273826344476472544408085886625594712905095721288897075772542968702909716653827743824861522350087
m: 100000000000000000000000000000000
deg: 5
c5: 2150
c0: -17
skew: 0.38
# Murphy_E = 3.876e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1850000, 3550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 786151 x 786379
Total sieving time: 21.11 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 21.33 hours.

GNFS, Msieve

96246645500093901170943643990957721082447224399386771467489884670464602639568354579068992478632375993379561087997317841932839165511982191869970939033<149>

76879279935404592843614684175034108349990037686715243272411<59>
1251919185259827233939916738179427826303260865916809703464204596941179679247083132958363803<91>

76879279935404592843614684175034108349990037686715243272411

8870656180042298865788308378334778449565781801074736677749879125739593044935066696586905455952705686035652382247487131695280309973<130>

3804106510573099843324727558336603237267296912127<49>
2331863252353023207336563543622596869642785736568605289516048800414411035237792299<82>

Number: n
N=8870656180042298865788308378334778449565781801074736677749879125739593044935066696586905455952705686035652382247487131695280309973  ( 130 digits)
SNFS difficulty: 167 digits.
Divisors found:

Thu Jun  9 13:53:33 2022  p49 factor: 3804106510573099843324727558336603237267296912127
Thu Jun  9 13:53:33 2022  p82 factor: 2331863252353023207336563543622596869642785736568605289516048800414411035237792299
Thu Jun  9 13:53:33 2022  elapsed time 00:09:10 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 43x10^166-34 = 47(165)4
#
n: 8870656180042298865788308378334778449565781801074736677749879125739593044935066696586905455952705686035652382247487131695280309973
m: 1000000000000000000000000000000000
deg: 5
c5: 215
c0: -17
skew: 0.60
# Murphy_E = 3.318e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1366953 hash collisions in 12567898 relations (11942642 unique)
Msieve: matrix is 578347 x 578574 (199.7 MB)

Sieving start time : 2022/06/09 13:13:28
Sieving end time  : 2022/06/09 13:44:07

Total sieving time: 0hrs 30min 39secs.

Total relation processing time: 0hrs 5min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 11sec.

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

142060555988014317853952630138867166838758163443775174039047887688378078774362311638439894938620258984983274186586034416581413814404557144056870210370539521544011913<165>

11447732738597502887297485235005163239271002508887<50>
12409492711953248792613755700394558846633336005800706204564372248119225241815839668666015626336186319896947209018399<116>

Number: n
N=142060555988014317853952630138867166838758163443775174039047887688378078774362311638439894938620258984983274186586034416581413814404557144056870210370539521544011913  ( 165 digits)
SNFS difficulty: 171 digits.
Divisors found:

Tue May 10 12:33:28 2022  p50 factor: 11447732738597502887297485235005163239271002508887
Tue May 10 12:33:28 2022  p116 factor: 12409492711953248792613755700394558846633336005800706204564372248119225241815839668666015626336186319896947209018399
Tue May 10 12:33:28 2022  elapsed time 00:10:35 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 43x10^170-34 = 47(169)4
#
n: 142060555988014317853952630138867166838758163443775174039047887688378078774362311638439894938620258984983274186586034416581413814404557144056870210370539521544011913
m: 10000000000000000000000000000000000
deg: 5
c5: 43
c0: -34
skew: 0.95
# Murphy_E = 2.507e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1615858 hash collisions in 15324035 relations (14678859 unique)
Msieve: matrix is 661633 x 661859 (227.6 MB)

Sieving start time : 2022/05/10 11:05:34
Sieving end time  : 2022/05/10 12:22:36

Total sieving time: 1hrs 17min 2secs.

Total relation processing time: 0hrs 6min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 37sec.

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

122312676713373042286052372581480154057083041774045818897593000301514970502733546100501197526439449536065172745322251235926930975827601704412927596584347390757712809835077<171>

8147423657972661392806011860714248095479904010523<49>
14740530810092620618590544064725591913671971550016688361<56>
1018446096189761028888142523988303291461889945589838354084792789959<67>

Number: n
N=122312676713373042286052372581480154057083041774045818897593000301514970502733546100501197526439449536065172745322251235926930975827601704412927596584347390757712809835077  ( 171 digits)
SNFS difficulty: 176 digits.
Divisors found:

Thu May 12 15:01:31 2022  found factor: 1018446096189761028888142523988303291461889945589838354084792789959
Thu May 12 15:03:26 2022  p49 factor: 8147423657972661392806011860714248095479904010523
Thu May 12 15:03:26 2022  p56 factor: 14740530810092620618590544064725591913671971550016688361
Thu May 12 15:03:26 2022  p67 factor: 1018446096189761028888142523988303291461889945589838354084792789959
Thu May 12 15:03:26 2022  elapsed time 00:22:13 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 43x10^174-34 = 47(173)4
#
n: 122312676713373042286052372581480154057083041774045818897593000301514970502733546100501197526439449536065172745322251235926930975827601704412927596584347390757712809835077
m: 50000000000000000000000000000000000
deg: 5
c5: 344
c0: -85
skew: 0.76
# Murphy_E = 1.3e-10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 8600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3512811 hash collisions in 28578292 relations (26657409 unique)
Msieve: matrix is 925395 x 925619 (315.1 MB)

Sieving start time : 2022/05/12 14:37:47
Sieving end time  : 2022/05/12 14:40:09

Total sieving time: 0hrs 2min 22secs.

Total relation processing time: 0hrs 12min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 53sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,100000
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)

26543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543<176>

57601294122808472248287066227443444622773417<44>
7875205884499569483846360141154514627882876893<46>
58513932140951705503393572567002890579208903072145258359004528029104437872983405944403<86>

Number: n
N=26543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543  ( 176 digits)
SNFS difficulty: 177 digits.
Divisors found:

Thu May 12 03:43:48 2022  found factor: 58513932140951705503393572567002890579208903072145258359004528029104437872983405944403
Thu May 12 03:44:40 2022  p44 factor: 57601294122808472248287066227443444622773417
Thu May 12 03:44:40 2022  p46 factor: 7875205884499569483846360141154514627882876893
Thu May 12 03:44:40 2022  p86 factor: 58513932140951705503393572567002890579208903072145258359004528029104437872983405944403
Thu May 12 03:44:40 2022  elapsed time 00:20:21 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 43x10^176-34 = 47(175)4
#
n: 26543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543
m: 100000000000000000000000000000000000
deg: 5
c5: 215
c0: -17
skew: 0.60
# Murphy_E = 1.328e-10
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4333390 hash collisions in 30686341 relations (27935067 unique)
Msieve: matrix is 872713 x 872938 (298.3 MB)

Sieving start time : 2022/05/12 01:38:22
Sieving end time  : 2022/05/12 03:23:48

Total sieving time: 1hrs 45min 26secs.

Total relation processing time: 0hrs 11min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 43sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6300000,6300000,28,28,53,53,2.5,2.5,100000
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)

31982723786046857333081914206746871402188924612066782552294785599416451572544355512517394468606348017148899956782207<116>

2577175508905881383113275106011184451324013959807199629<55>
12409990579036993511161820616780190063641290256626583348897083<62>

2577175508905881383113275106011184451324013959807199629

23888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<179>

482942660340797431936859800225827204769273336141676622041921<60>
49465269587141570892756892323007508252361752484428421142682249854865049593309101422162957084969033258351376670611446647<119>

Number: n
N=23888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887  ( 179 digits)
SNFS difficulty: 179 digits.
Divisors found:

Fri May 13 05:47:19 2022  p60 factor: 482942660340797431936859800225827204769273336141676622041921
Fri May 13 05:47:19 2022  p119 factor: 49465269587141570892756892323007508252361752484428421142682249854865049593309101422162957084969033258351376670611446647
Fri May 13 05:47:19 2022  elapsed time 00:27:21 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 43x10^178-34 = 47(177)4
#
n: 23888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 100000000000000000000000000000000000
deg: 5
c5: 21500
c0: -17
skew: 0.24
# Murphy_E = 9.589e-11
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, 30600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3865314 hash collisions in 28727030 relations (26368051 unique)
Msieve: matrix is 1020060 x 1020287 (351.7 MB)

Sieving start time : 2022/05/13 01:42:16
Sieving end time  : 2022/05/13 05:18:38

Total sieving time: 3hrs 36min 22secs.

Total relation processing time: 0hrs 17min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 19sec.

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)

51407901794646568528939415011569936671692828790295734150495007716341508193750197657955252286389400432030049246725335077387107820654968747494992099831<149>

27020573756793387865530908649533671919<38>
1902546639362971753162139753095415297222103848024093556334479731188221395468045011679357516195688222511246768249<112>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1102442123
Step 1 took 5890ms
********** Factor found in step 1: 27020573756793387865530908649533671919
Found prime factor of 38 digits: 27020573756793387865530908649533671919
Prime cofactor 1902546639362971753162139753095415297222103848024093556334479731188221395468045011679357516195688222511246768249 has 112 digits
 

GMP-ECM

342095562102068770049986070276376574068382690253655055903504829215439516635987496472690313257967587046823350834224472721132611087<129>

3842854959615912408254401219348574929074298038790481<52>
89021200564972847320079035399589019173265996456259981490277493188875468620127<77>

342095562102068770049986070276376574068382690253655055903504829215439516635987496472690313257967587046823350834224472721132611087=3842854959615912408254401219348574929074298038790481*89021200564972847320079035399589019173265996456259981490277493188875468620127

cado polynomial
n: 342095562102068770049986070276376574068382690253655055903504829215439516635987496472690313257967587046823350834224472721132611087
skew: 238416.448
c0: -652968223265615896908661180068
c1: -138081161297982277491229341
c2: -2589029054422114070522
c3: 2639014375236811
c4: -711033800
c5: 29400
Y0: -10308141937723501881848294
Y1: 103774696941327211
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.965e-07
# f(x) = 29400*x^5-711033800*x^4+2639014375236811*x^3-2589029054422114070522*x^2-138081161297982277491229341*x-652968223265615896908661180068
# g(x) = 103774696941327211*x-10308141937723501881848294

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

cado log (extracts)
Info:Square Root: Factors: 3842854959615912408254401219348574929074298038790481 89021200564972847320079035399589019173265996456259981490277493188875468620127
Info:Square Root: Total cpu/real time for sqrt: 672.89/201.549
Info:Filtering - Singleton removal: Total cpu/real time for purge: 159.16/178.385
Info:Linear Algebra: Total cpu/real time for bwc: 44270.4/11349.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 28284.7, WCT time 7217.87, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51968 iterations)
Info:Linear Algebra: Lingen CPU time 324.53, WCT time 82.42
Info:Linear Algebra: Mksol: CPU time 15361.02,  WCT time 3935.04, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26112 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23391591
Info:Lattice Sieving: Average J: 8130.27 for 51653 special-q, max bucket fill -bkmult 1.0,1s:1.067860
Info:Lattice Sieving: Total time: 76015.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.5/10.7209
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5008.1
Info:Polynomial Selection (root optimized): Rootsieve time: 5005.69
Info:Generate Free Relations: Total cpu/real time for freerel: 251.95/63.5495
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 99.66/119.585
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 119.39999999999999s
Info:Filtering - Merging: Merged matrix has 1659176 rows and total weight 282457065 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 413/117.297
Info:Filtering - Merging: Total cpu/real time for replay: 66.31/55.6519
Info:Quadratic Characters: Total cpu/real time for characters: 64.38/26.3468
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38542/37.890/45.869/50.590/0.852
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30533/36.940/41.132/46.660/0.940
Info:Polynomial Selection (size optimized): Total time: 4822.35
Info:Square Root: Total cpu/real time for sqrt: 672.89/201.549
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 306.47/270.922
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 245.49999999999997s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 199437/53820.6
Info:root: Cleaning up computation data in /tmp/cado.m51irx0b
3842854959615912408254401219348574929074298038790481 89021200564972847320079035399589019173265996456259981490277493188875468620127

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)

140118985756334604566532398870803744524504054023617574118112305138666135138983679195499951564633535625093430997945733736594333025866597885981989409<147>

1033203350845974326241938275178329400647842383168639572017458533<64>
135616077552987884457661721810084191258571657062102848008251231778661343387965250573<84>

140118985756334604566532398870803744524504054023617574118112305138666135138983679195499951564633535625093430997945733736594333025866597885981989409=1033203350845974326241938275178329400647842383168639572017458533*135616077552987884457661721810084191258571657062102848008251231778661343387965250573

cado polynomial
n: 140118985756334604566532398870803744524504054023617574118112305138666135138983679195499951564633535625093430997945733736594333025866597885981989409
skew: 0.95
type: snfs
c0: -34
c5: 43
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 43*x^5-34
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9000000
tasks.lim1 = 9000000
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: 1033203350845974326241938275178329400647842383168639572017458533 135616077552987884457661721810084191258571657062102848008251231778661343387965250573
Info:Square Root: Total cpu/real time for sqrt: 1105.82/334.304
Info:Filtering - Singleton removal: Total cpu/real time for purge: 85.47/103.906
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22425865
Info:Lattice Sieving: Average J: 1894.73 for 1068557 special-q, max bucket fill -bkmult 1.0,1s:1.161340
Info:Lattice Sieving: Total time: 198743s
Info:Linear Algebra: Total cpu/real time for bwc: 40072.1/10305.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 25582.52, WCT time 6553.72, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (49408 iterations)
Info:Linear Algebra: Lingen CPU time 322.72, WCT time 81.92
Info:Linear Algebra: Mksol: CPU time 13883.12,  WCT time 3563.56, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (24832 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.58/32.302
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.96/104.167
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 104.1s
Info:Filtering - Merging: Merged matrix has 1576132 rows and total weight 268862396 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 418.79/116.603
Info:Filtering - Merging: Total cpu/real time for replay: 62.59/53.3728
Info:Generate Factor Base: Total cpu/real time for makefb: 3.84/2.08348
Info:Quadratic Characters: Total cpu/real time for characters: 59.19/23.9484
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 221.81/190.276
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 174.0s
Info:Square Root: Total cpu/real time for sqrt: 1105.82/334.304
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 414501/111015
Info:root: Cleaning up computation data in /tmp/cado.ql3f0q5x
1033203350845974326241938275178329400647842383168639572017458533 135616077552987884457661721810084191258571657062102848008251231778661343387965250573

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)

186244362103938043711132752490097132931870020132328425842113752628674615677990044518992538894408361762452092929534187916535374960028444527354235860885804777093006105341<168>

132666487454234517779045212192804811437806342524203681991130825611949515264221<78>
1403853872050287704596601548984364890224027209829239031580135230058253318748935225920962721<91>

Number: n
N=186244362103938043711132752490097132931870020132328425842113752628674615677990044518992538894408361762452092929534187916535374960028444527354235860885804777093006105341  ( 168 digits)
SNFS difficulty: 189 digits.
Divisors found:

Mon May 16 20:32:06 2022  p78 factor: 132666487454234517779045212192804811437806342524203681991130825611949515264221
Mon May 16 20:32:06 2022  p91 factor: 1403853872050287704596601548984364890224027209829239031580135230058253318748935225920962721
Mon May 16 20:32:06 2022  elapsed time 00:35:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 43x10^188-34 = 47(187)4
#
n: 186244362103938043711132752490097132931870020132328425842113752628674615677990044518992538894408361762452092929534187916535374960028444527354235860885804777093006105341
m: 10000000000000000000000000000000000000
deg: 5
c5: 21500
c0: -17
skew: 0.24
# Murphy_E = 3.764e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3335481 hash collisions in 28527462 relations (26837159 unique)
Msieve: matrix is 1217024 x 1217249 (426.0 MB)

Sieving start time : 2022/05/16 14:46:55
Sieving end time  : 2022/05/16 19:56:15

Total sieving time: 5hrs 9min 20secs.

Total relation processing time: 0hrs 25min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 52sec.

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

62373078038874383521903104148534957934435741224252973600232085871772555845662895271250362634174644618508848273861328691615897882216420075427908326080649840440963156367856106759501015375689<188>

24350689735634980060556373286935130480043520218510301031492239394329719<71>
2561450156690927660341090829405916047071999746686630033533622218437784875988554049022905144605114401308528160239917631<118>

Number: n
N=62373078038874383521903104148534957934435741224252973600232085871772555845662895271250362634174644618508848273861328691615897882216420075427908326080649840440963156367856106759501015375689  ( 188 digits)
SNFS difficulty: 191 digits.
Divisors found:

Tue May 17 22:55:27 2022  p71 factor: 24350689735634980060556373286935130480043520218510301031492239394329719
Tue May 17 22:55:27 2022  p118 factor: 2561450156690927660341090829405916047071999746686630033533622218437784875988554049022905144605114401308528160239917631
Tue May 17 22:55:27 2022  elapsed time 00:33:22 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 43x10^190-34 = 47(189)4
#
n: 62373078038874383521903104148534957934435741224252973600232085871772555845662895271250362634174644618508848273861328691615897882216420075427908326080649840440963156367856106759501015375689
m: 100000000000000000000000000000000000000
deg: 5
c5: 43
c0: -34
skew: 0.95
# Murphy_E = 3.884e-11
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3231128 hash collisions in 28909423 relations (27392843 unique)
Msieve: matrix is 1205173 x 1205399 (418.2 MB)

Sieving start time : 2022/05/17 17:56:19
Sieving end time  : 2022/05/17 22:21:10

Total sieving time: 4hrs 24min 51secs.

Total relation processing time: 0hrs 24min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 22sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10900000,10900000,28,28,54,54,2.5,2.5,100000
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)

282873319388745812703430660722626291253106111295776310741262304659914043944652200130376982967921307211805334618472865284944706802473215380088945063931786687805574948909<168>

472025334710930526608141503415327759972907121174158213947<57>
599275713796120980893971427109402872942929119521863488237392382665143983553010947642307065020568591669093432247<111>

Number: n
N=282873319388745812703430660722626291253106111295776310741262304659914043944652200130376982967921307211805334618472865284944706802473215380088945063931786687805574948909  ( 168 digits)
SNFS difficulty: 193 digits.
Divisors found:

Wed Jun 29 07:43:27 2022  p57 factor: 472025334710930526608141503415327759972907121174158213947
Wed Jun 29 07:43:27 2022  p111 factor: 599275713796120980893971427109402872942929119521863488237392382665143983553010947642307065020568591669093432247
Wed Jun 29 07:43:27 2022  elapsed time 00:54:30 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 43x10^192-34 = 47(191)4
#
n: 282873319388745812703430660722626291253106111295776310741262304659914043944652200130376982967921307211805334618472865284944706802473215380088945063931786687805574948909
m: 100000000000000000000000000000000000000
deg: 5
c5: 2150
c0: -17
skew: 0.38
# Murphy_E = 2.416e-11
type: snfs
lss: 1
rlim: 11700000
alim: 11700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11700000/11700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 25850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2894710 hash collisions in 28551206 relations (26805309 unique)
Msieve: matrix is 1519186 x 1519411 (528.5 MB)

Sieving start time : 2022/06/29 00:06:14
Sieving end time  : 2022/06/29 06:48:03

Total sieving time: 6hrs 41min 49secs.

Total relation processing time: 0hrs 44min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 5sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11700000,11700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

837751299720311272679838563467353219798442969027542709757484272329702799401472035529204732911964784889026889313938053991666263446124224602000811697040804841220574661977570109<174>

35856572056057571098678528852810101875330197538856694377178247479135658881636643<80>
23363953988981009138193183058158762793466072550355843701351698554517572855507259459647998431263<95>

Number: n
N=837751299720311272679838563467353219798442969027542709757484272329702799401472035529204732911964784889026889313938053991666263446124224602000811697040804841220574661977570109  ( 174 digits)
SNFS difficulty: 194 digits.
Divisors found:

Tue Jul 19 09:39:22 2022  p80 factor: 35856572056057571098678528852810101875330197538856694377178247479135658881636643
Tue Jul 19 09:39:22 2022  p95 factor: 23363953988981009138193183058158762793466072550355843701351698554517572855507259459647998431263
Tue Jul 19 09:39:22 2022  elapsed time 01:57:04 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.858).
Factorization parameters were as follows:
#
# N = 43x10^193-34 = 47(192)4
#
n: 837751299720311272679838563467353219798442969027542709757484272329702799401472035529204732911964784889026889313938053991666263446124224602000811697040804841220574661977570109
m: 100000000000000000000000000000000000000
deg: 5
c5: 21500
c0: -17
skew: 0.24
# Murphy_E = 2.343e-11
type: snfs
lss: 1
rlim: 12100000
alim: 12100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12100000/12100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3346820 hash collisions in 28030846 relations (26267819 unique)
Msieve: matrix is 1570935 x 1571161 (551.9 MB)

Sieving start time : 2022/07/19 01:35:15
Sieving end time  : 2022/07/19 07:41:43

Total sieving time: 6hrs 6min 28secs.

Total relation processing time: 1hrs 35min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 33sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12100000,12100000,28,28,55,55,2.5,2.5,100000
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)

1818566792320787154518899932580986391543764837227970365789118058722305279951348510782281440263828306594594037833301001425137997916483600818799067488190197218900516221133<169>

2158006031331042578242649674343481045536098531599015182452562447<64>
842707001703377193190004099534728125118461987663195753000898983216498412238498026708163104283701874103139<105>

Number: n
N=1818566792320787154518899932580986391543764837227970365789118058722305279951348510782281440263828306594594037833301001425137997916483600818799067488190197218900516221133  ( 169 digits)
SNFS difficulty: 196 digits.
Divisors found:

Thu Jul 21 05:12:40 2022  p64 factor: 2158006031331042578242649674343481045536098531599015182452562447
Thu Jul 21 05:12:40 2022  p105 factor: 842707001703377193190004099534728125118461987663195753000898983216498412238498026708163104283701874103139
Thu Jul 21 05:12:40 2022  elapsed time 01:27:20 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 43x10^194-34 = 47(193)4
#
n: 1818566792320787154518899932580986391543764837227970365789118058722305279951348510782281440263828306594594037833301001425137997916483600818799067488190197218900516221133
m: 500000000000000000000000000000000000000
deg: 5
c5: 344
c0: -85
skew: 0.76
# Murphy_E = 1.987e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3430985 hash collisions in 27956227 relations (26078780 unique)
Msieve: matrix is 1904732 x 1904957 (667.2 MB)

Sieving start time : 2022/07/20 21:30:20
Sieving end time  : 2022/07/21 03:44:50

Total sieving time: 6hrs 14min 30secs.

Total relation processing time: 1hrs 10min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 48sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13000000,13000000,28,28,55,55,2.5,2.5,100000
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)

367150310547957964121992105367314598908439239533705068304563116416497727588487427377690578650396711766025333872280400845331834564159782913869353540736104332101912315619<168>

2536083006947933709722094631111284816787621<43>

144770620497082031539555856212845179167764307870298193486018867442516917386126929310504746367751881547744992177627579931550439<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3317557450
Step 1 took 4812ms
********** Factor found in step 2: 2536083006947933709722094631111284816787621
Found prime factor of 43 digits: 2536083006947933709722094631111284816787621
Composite cofactor 144770620497082031539555856212845179167764307870298193486018867442516917386126929310504746367751881547744992177627579931550439 has 126 digits
 

GMP-ECM

144770620497082031539555856212845179167764307870298193486018867442516917386126929310504746367751881547744992177627579931550439<126>

166550317552683782232116928342218289404874329<45>
869230528193305183478331056567867607021753382404745493023842229564541343120118591<81>

08/20/22 20:35:35 v1.34.5 @ 7700KL, nfs: commencing nfs on c126: 144770620497082031539555856212845179167764307870298193486018867442516917386126929310504746367751881547744992177627579931550439
08/20/22 20:35:35 v1.34.5 @ 7700KL, nfs: commencing poly selection with 6 threads
08/20/22 20:35:35 v1.34.5 @ 7700KL, nfs: setting deadline of 4800 seconds
08/20/22 21:50:14 v1.34.5 @ 7700KL, nfs: completed 41 ranges of size 250 in 4479.2490 seconds
08/20/22 21:50:14 v1.34.5 @ 7700KL, nfs: best poly = # norm 5.701315e-012 alpha -5.997443 e 1.470e-010 rroots 5
08/20/22 21:50:14 v1.34.5 @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/22/22 00:51:59 v1.34.5 @ 7700KL, nfs: commencing msieve filtering
08/22/22 00:54:10 v1.34.5 @ 7700KL, nfs: commencing msieve linear algebra
08/22/22 01:14:16 v1.34.5 @ 7700KL, nfs: commencing msieve sqrt
08/22/22 01:18:43 v1.34.5 @ 7700KL, prp81 = 869230528193305183478331056567867607021753382404745493023842229564541343120118591
08/22/22 01:18:43 v1.34.5 @ 7700KL, prp45 = 166550317552683782232116928342218289404874329

Yafu v1.34 + GGNFS Library

Windows 10 v21H1, Intel i7-7700.

430749518808209924748199308235105563674382590636715967431674005446392908838738305168094860772970234488998830591188908801737923245536624074134212049529390824033105620905967494242877410952890001<192>

74261908123985743598839480114591955029118249795941<50>
5800410057994224583208900853939452325372663945439138434960002446308688632491642624142808191061343915511014889753586664636049430459992266953661<142>

Number: n
N=430749518808209924748199308235105563674382590636715967431674005446392908838738305168094860772970234488998830591188908801737923245536624074134212049529390824033105620905967494242877410952890001  ( 192 digits)
SNFS difficulty: 201 digits.
Divisors found:

Thu Sep  8 13:57:46 2022  p50 factor: 74261908123985743598839480114591955029118249795941
Thu Sep  8 13:57:46 2022  p142 factor: 5800410057994224583208900853939452325372663945439138434960002446308688632491642624142808191061343915511014889753586664636049430459992266953661
Thu Sep  8 13:57:46 2022  elapsed time 01:39:45 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 43x10^199-34 = 47(198)4
#
n: 430749518808209924748199308235105563674382590636715967431674005446392908838738305168094860772970234488998830591188908801737923245536624074134212049529390824033105620905967494242877410952890001
m: 5000000000000000000000000000000000000000
deg: 5
c5: 344
c0: -85
skew: 0.76
# Murphy_E = 1.23e-11
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3712093 hash collisions in 27578938 relations (25293322 unique)
Msieve: matrix is 2099854 x 2100079 (735.8 MB)

Sieving start time : 2022/09/08 04:00:33
Sieving end time  : 2022/09/08 12:17:32

Total sieving time: 8hrs 16min 59secs.

Total relation processing time: 1hrs 25min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 9sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,13700000,13700000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

5188271815202825803173224488570498295050270730703643130172346414913976074099532743661387646426046186286767103057618792451851394572517459923375087743350804915916073480451713144085469<181>

4782901823581804670397590949431370667<37>

1084753985461789995892866688144338959862264575565553502580545091966378830175385029765360275581892542172822402090960559782147340181820272464672407<145>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2646025353
Step 1 took 9552ms
Step 2 took 4567ms
********** Factor found in step 2: 4782901823581804670397590949431370667
Found prime factor of 37 digits: 4782901823581804670397590949431370667
Composite cofactor 1084753985461789995892866688144338959862264575565553502580545091966378830175385029765360275581892542172822402090960559782147340181820272464672407 has 145 digits

1084753985461789995892866688144338959862264575565553502580545091966378830175385029765360275581892542172822402090960559782147340181820272464672407<145>

10696730603271900121185151821253844618292991970110291<53>
101409863040767526922703818308556123332600749544483821184587841174793598319901640368291980077<93>

1084753985461789995892866688144338959862264575565553502580545091966378830175385029765360275581892542172822402090960559782147340181820272464672407=10696730603271900121185151821253844618292991970110291*101409863040767526922703818308556123332600749544483821184587841174793598319901640368291980077

cado polynomial
n: 1084753985461789995892866688144338959862264575565553502580545091966378830175385029765360275581892542172822402090960559782147340181820272464672407
skew: 0.95
type: snfs
c0: -34
c5: 43
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 43*x^5-34
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16100000
tasks.lim1 = 16100000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 10696730603271900121185151821253844618292991970110291 101409863040767526922703818308556123332600749544483821184587841174793598319901640368291980077
Info:Square Root: Total cpu/real time for sqrt: 1659.83/515.032
Info:Generate Free Relations: Total cpu/real time for freerel: 240.74/61.7263
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 200.35/225.461
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 224.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 572.09/660.194
Info:Filtering - Merging: Merged matrix has 3208104 rows and total weight 548556123 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 927.5/254.851
Info:Filtering - Merging: Total cpu/real time for replay: 128.74/114.886
Info:Generate Factor Base: Total cpu/real time for makefb: 6.76/2.96755
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 46349452
Info:Lattice Sieving: Average J: 1894.43 for 3539648 special-q, max bucket fill -bkmult 1.0,1s:1.128070
Info:Lattice Sieving: Total time: 1.14317e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 186890/47835.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 120144.49, WCT time 30627.15, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (100352 iterations)
Info:Linear Algebra: Lingen CPU time 724.58, WCT time 183.8
Info:Linear Algebra: Mksol: CPU time 64771.85,  WCT time 16557.44, iteration CPU time 0.31, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50176 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 117.14/50.1144
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 801.51/783.595
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 648.6s
Info:Square Root: Total cpu/real time for sqrt: 1659.83/515.032
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.38534e+06/356465
Info:root: Cleaning up computation data in /tmp/cado.obl2chzs
10696730603271900121185151821253844618292991970110291 101409863040767526922703818308556123332600749544483821184587841174793598319901640368291980077

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)

15707561435834044503027896349950406730144515417082722379739801141873668757094505963302065788270955624017704680559528297650391485253921622788145854116992457<155>

5534671793573463908277873000410951120249508907<46>
117622894798928190845731577859942089601909893877842639<54>
24128205949210770227984057545255611323486671366544205109<56>

5534671793573463908277873000410951120249508907
117622894798928190845731577859942089601909893877842639
24128205949210770227984057545255611323486671366544205109

GMP-ECM for the p46, YAFU for the C109 = p54 * p56

Ryzen 7 Pro 5750GE, Debian sid amd64

142389057925790025496659836829353860960084278971176100096872661018233047887707841219948341214114685266622583954930013149232582533942714908004970798929716196987654839889488260051<177>

5749859563584072281931231285255902547714817948387<49>
24763919249018031481149956535345792213715766927244866210905678107456425227100350951426261244940499747727417786190284625680379473<128>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 142389057925790025496659836829353860960084278971176100096872661018233047887707841219948341214114685266622583954930013149232582533942714908004970798929716196987654839889488260051 (177 digits)
Using B1=40900000, B2=192394462276, polynomial Dickson(12), sigma=1:2149093324
Step 1 took 110117ms
Step 2 took 33047ms
********** Factor found in step 2: 5749859563584072281931231285255902547714817948387
Found prime factor of 49 digits: 5749859563584072281931231285255902547714817948387
Prime cofactor 24763919249018031481149956535345792213715766927244866210905678107456425227100350951426261244940499747727417786190284625680379473 has 128 digits

113532960194772719708152462979577389580768699959328504803893704909743468183918146570543748145598726845591353124415414110540217298810696480667712804859179121506012474036364134496373073<183>

281362805500908216399202344245803461872701<42>

403510904693499882262344203872101639736476045608089426913710153497177466706256462944768517369862882513689783875137356383849955047590359735973<141>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2304332362
Step 1 took 5281ms
********** Factor found in step 2: 281362805500908216399202344245803461872701
Found prime factor of 42 digits: 281362805500908216399202344245803461872701
Composite cofactor 403510904693499882262344203872101639736476045608089426913710153497177466706256462944768517369862882513689783875137356383849955047590359735973 has 141 digits

GMP-ECM

403510904693499882262344203872101639736476045608089426913710153497177466706256462944768517369862882513689783875137356383849955047590359735973<141>

3744955271911172430515636366579887813752244691008815675037979<61>
107747856888975645556639629960065941990871492065791988383012458180152454798484287<81>

403510904693499882262344203872101639736476045608089426913710153497177466706256462944768517369862882513689783875137356383849955047590359735973=3744955271911172430515636366579887813752244691008815675037979*107747856888975645556639629960065941990871492065791988383012458180152454798484287

cado polynomial
n: 403510904693499882262344203872101639736476045608089426913710153497177466706256462944768517369862882513689783875137356383849955047590359735973
skew: 143786.531
c0: 20154611093368154044466757077955
c1: 755549844045573767457041889
c2: -634719515991718015744
c3: -31831359075310918
c4: 316254114240
c5: -286200
Y0: -1479567780258547876698728830
Y1: 7746874771582082083
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.352e-07
# f(x) = -286200*x^5+316254114240*x^4-31831359075310918*x^3-634719515991718015744*x^2+755549844045573767457041889*x+20154611093368154044466757077955
# g(x) = 7746874771582082083*x-1479567780258547876698728830

cado parameters (extracts)
tasks.lim0 = 14900000
tasks.lim1 = 14900000
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 = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3744955271911172430515636366579887813752244691008815675037979 107747856888975645556639629960065941990871492065791988383012458180152454798484287
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2635.09/138.036
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Free Relations: Total cpu/real time for freerel: 221.9/11.9456
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 430.51/213.396
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 158.9s
Info:Linear Algebra: Total cpu/real time for bwc: 55421.5/6915.32
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 36126.15, WCT time 4517.66, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.03, comm-wait 0.0 (62976 iterations)
Info:Linear Algebra: Lingen CPU time 428.19, WCT time 27.66
Info:Linear Algebra: Mksol: CPU time 18653.25,  WCT time 2339.43, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.03, comm-wait 0.0 (31488 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5557.71
Info:Polynomial Selection (root optimized): Rootsieve time: 5556.25
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33560705
Info:Lattice Sieving: Average J: 3806.6 for 990380 special-q, max bucket fill -bkmult 1.0,1s:1.145510
Info:Lattice Sieving: Total time: 328095s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 69931.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 48554/42.550/50.610/55.070/0.934
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39823/40.790/45.198/51.300/1.052
Info:Polynomial Selection (size optimized): Total time: 15918.1
Info:Square Root: Total cpu/real time for sqrt: 2635.09/138.036
Info:Generate Factor Base: Total cpu/real time for makefb: 5.15/0.375101
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 136.42/102.186
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.9s
Info:Quadratic Characters: Total cpu/real time for characters: 56.41/11.1878
Info:Filtering - Singleton removal: Total cpu/real time for purge: 226.05/140.076
Info:Filtering - Merging: Merged matrix has 2010751 rows and total weight 342410587 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 421.9/25.8802
Info:Filtering - Merging: Total cpu/real time for replay: 38.58/33.3268
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 617044/35814.4
Info:root: Cleaning up computation data in /tmp/cado.5pzcc64i
3744955271911172430515636366579887813752244691008815675037979 107747856888975645556639629960065941990871492065791988383012458180152454798484287

cado-nfs-3.0.0

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

201201995697951588054664117325501179807750732350964957157641176305632443453272551174493775996183011736232158839154485686396187495727548450737782485662124712770750952991<168>

43263794345994672715682704826932637389<38>
4650585986260789143971559991214611103334096016956243991640164893148785543213568740619301645125860444731264447128606639114553483419<130>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3454631232
Step 1 took 7754ms
Step 2 took 4024ms
********** Factor found in step 2: 43263794345994672715682704826932637389
Found prime factor of 38 digits: 43263794345994672715682704826932637389
Prime cofactor 4650585986260789143971559991214611103334096016956243991640164893148785543213568740619301645125860444731264447128606639114553483419 has 130 digits

15821824038855740268696294648699469021183162354741609165375695098027212811681580438700048301839688203850507640637807378585446435925308463295220438167109272148631047635684801333255712611040717939137<197>

63741089909062114113732961000917209<35>

248220167892145515100891263733285537063923018425489171331333910340052532540054722578614551956312645789032234623502868545026266143812084518486832774063238752964393<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1477761170
Step 1 took 11465ms
Step 2 took 4985ms
********** Factor found in step 2: 63741089909062114113732961000917209
Found prime factor of 35 digits: 63741089909062114113732961000917209
Composite cofactor 248220167892145515100891263733285537063923018425489171331333910340052532540054722578614551956312645789032234623502868545026266143812084518486832774063238752964393 has 162 digits

248220167892145515100891263733285537063923018425489171331333910340052532540054722578614551956312645789032234623502868545026266143812084518486832774063238752964393<162>

574813465110960599072218167263190272183507<42>

431827336967879997548725962073967747038694477690999136352192107095848003288279259687353657480251871724174188810368599699<120>

********** Factor found in step 2: 574813465110960599072218167263190272183507
Found prime factor of 42 digits: 574813465110960599072218167263190272183507
Composite cofactor 431827336967879997548725962073967747038694477690999136352192107095848003288279259687353657480251871724174188810368599699 has 120 digits

GMP-ECM

Ryzen 7 Pro 5750GE, Debian sid amd64

431827336967879997548725962073967747038694477690999136352192107095848003288279259687353657480251871724174188810368599699<120>

1133552523658939344887527260470706147959062400994774827627<58>
380950443808289915182940878896737116283981630398298860382332537<63>

431827336967879997548725962073967747038694477690999136352192107095848003288279259687353657480251871724174188810368599699=1133552523658939344887527260470706147959062400994774827627*380950443808289915182940878896737116283981630398298860382332537

cado polynomial
n: 431827336967879997548725962073967747038694477690999136352192107095848003288279259687353657480251871724174188810368599699
skew: 16219.524
c0: -349222904657848308448738626
c1: -130449031485047645621111
c2: 12603053681742520338
c3: 816075531959351
c4: -14740367712
c5: -685440
Y0: -139324158138340348106190
Y1: 53379050390151221
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.450e-06
# f(x) = -685440*x^5-14740367712*x^4+816075531959351*x^3+12603053681742520338*x^2-130449031485047645621111*x-349222904657848308448738626
# g(x) = 53379050390151221*x-139324158138340348106190

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

cado log (extracts)
Info:Square Root: Factors: 1133552523658939344887527260470706147959062400994774827627 380950443808289915182940878896737116283981630398298860382332537
Info:Square Root: Total cpu/real time for sqrt: 1397.25/187.861
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20078/34.830/42.752/47.510/1.041
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15908/33.460/37.834/43.200/0.828
Info:Polynomial Selection (size optimized): Total time: 3775.1
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2463.58
Info:Polynomial Selection (root optimized): Rootsieve time: 2427.88
Info:Generate Factor Base: Total cpu/real time for makefb: 5.77/0.91996
Info:Generate Free Relations: Total cpu/real time for freerel: 142.51/34.8451
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13439467
Info:Lattice Sieving: Average J: 1901.6 for 262965 special-q, max bucket fill -bkmult 1.0,1s:1.270080
Info:Lattice Sieving: Total time: 136795s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 35.86/90.1947
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 90.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 182.1/153.511
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 147.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 71.75/80.7409
Info:Filtering - Merging: Merged matrix has 729306 rows and total weight 73723050 (101.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 77.25/16.4507
Info:Filtering - Merging: Total cpu/real time for replay: 23.03/18.6257
Info:Linear Algebra: Total cpu/real time for bwc: 8822.89/2632.68
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1610.42, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (23040 iterations)
Info:Linear Algebra: Lingen CPU time 147.96, WCT time 41.04
Info:Linear Algebra: Mksol: WCT time 944.03, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (11520 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 37.05/17.5903
Info:Square Root: Total cpu/real time for sqrt: 1397.25/187.861
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 162443/39310.3
Info:root: Cleaning up computation data in /tmp/cado.2xah6aoe
1133552523658939344887527260470706147959062400994774827627 380950443808289915182940878896737116283981630398298860382332537

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)

155824417210666085715467489890362061899407671533489767328420526054514123279813644003161377243193821951961058255260819469665810550511511336522123988027203115416951863333<168>

106843989833886855809961020005969636947557030403694704985916177900506385266707243270118217594436973152953264265360965986756119917517783326213842332670542573569893<162>

334823259357293602442949969970675899250893951968981190025319<60>
319105638117788145676582642493588140626516467236154278452706628351263960714000520880352056473629592147<102>

334823259357293602442949969970675899250893951968981190025319

GMP-ECM 7.0.5

Ryzen 7 Pro 5750GE, Debian sid amd64

15261712667509886921229257165707801305309157311870917701178231063004390798368267258839077060769514118167976725120043344788771219263101125666363431385698981668378660249586661<173>

26080039713968642744238462094436449<35>

585187478044199913623135309082300288599805356352357637043189066046581454566409631885943737666541157883078715489918487688225150653664592389<138>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3282465398
Step 1 took 14807ms
Step 2 took 6426ms
********** Factor found in step 2: 26080039713968642744238462094436449
Found prime factor of 35 digits: 26080039713968642744238462094436449
Composite cofactor 585187478044199913623135309082300288599805356352357637043189066046581454566409631885943737666541157883078715489918487688225150653664592389 has 138 digits

585187478044199913623135309082300288599805356352357637043189066046581454566409631885943737666541157883078715489918487688225150653664592389<138>

237701543299723400241524255710159010709417481375317520657211<60>
2461858134872618065112253823343186524289989188800560658271141151799116737393599<79>

Sat Jun  4 06:58:09 2022  Msieve v. 1.53 (SVN unknown)
Sat Jun  4 06:58:09 2022  random seeds: 50b1dad0 f3cc1e93
Sat Jun  4 06:58:09 2022  factoring 585187478044199913623135309082300288599805356352357637043189066046581454566409631885943737666541157883078715489918487688225150653664592389 (138 digits)
Sat Jun  4 06:58:10 2022  searching for 15-digit factors
Sat Jun  4 06:58:10 2022  commencing number field sieve (138-digit input)
Sat Jun  4 06:58:10 2022  R0: -275279222842975725622486285
Sat Jun  4 06:58:10 2022  R1: 2568204117571169
Sat Jun  4 06:58:10 2022  A0: -1190544096154408030136797962065664
Sat Jun  4 06:58:10 2022  A1: 7922107705039703660100332800
Sat Jun  4 06:58:10 2022  A2: 88334885512293184610660
Sat Jun  4 06:58:10 2022  A3: -201903707044081475
Sat Jun  4 06:58:10 2022  A4: -781888550776
Sat Jun  4 06:58:10 2022  A5: 370200
Sat Jun  4 06:58:10 2022  skew 358935.79, size 1.275e-13, alpha -5.496, combined = 1.826e-11 rroots = 5
Sat Jun  4 06:58:10 2022  
Sat Jun  4 06:58:10 2022  commencing square root phase
Sat Jun  4 06:58:10 2022  reading relations for dependency 1
Sat Jun  4 06:58:11 2022  read 1303589 cycles
Sat Jun  4 06:58:12 2022  cycles contain 4208112 unique relations
Sat Jun  4 06:58:47 2022  read 4208112 relations
Sat Jun  4 06:59:04 2022  multiplying 4208112 relations
Sat Jun  4 07:01:40 2022  multiply complete, coefficients have about 219.35 million bits
Sat Jun  4 07:01:41 2022  initial square root is modulo 74476267
Sat Jun  4 07:04:59 2022  sqrtTime: 409
Sat Jun  4 07:04:59 2022  p60 factor: 237701543299723400241524255710159010709417481375317520657211
Sat Jun  4 07:04:59 2022  p79 factor: 2461858134872618065112253823343186524289989188800560658271141151799116737393599
Sat Jun  4 07:04:59 2022  elapsed time 00:06:50

8880627839735646427096241222635274679884345311854605534902932672449401073936389921520033044196612969847170590665014456836018174308137133415943824865757951259809995869475423378769103676166873192895497728211482858323<214>

9440563579897931620409259320189525031707909332409703548857146474188717209796079218475675511297525630088687311646863201357078351454255453332928383753763645511473733522591803<172>

258249301845757171979055193092710722691957778251682577399640309381214921212694282181191770990020061130018936400120821174292459456536735859535499632612983906995233148218158300575425677980133<189>

4947944102419442916331783213375464090025123280082089909958125925555479977670804212123589200845833795624261718609360898606180536321473372488758051384173069374793138561<166>

549594726099484728412624276962435603448447<42>
9002895893007154263501495028896655564184733640466087721243344105362147337199169879917392632676384612398664697435574858251263<124>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3686287697
Step 1 took 6375ms
Step 2 took 3109ms
********** Factor found in step 2: 549594726099484728412624276962435603448447
Found prime factor of 42 digits: 549594726099484728412624276962435603448447
Prime cofactor 9002895893007154263501495028896655564184733640466087721243344105362147337199169879917392632676384612398664697435574858251263 has 124 digits

GMP-ECM

226116206091245633479745142444985576827224076214924176338146596844007628998061452216084834882504001209592722385964079250101803589124933794367987428146645854193961<162>

1684651430800491267111810467261325067012517244896147976916623087439721098635696462122746822929492011469202713978545164726125977909433467532938606691393136171401079796858914026414644299469<187>

214608737303854280700110992634411231180018167603836620607009068876030357846465256592295718636653181980195943053538816112575609619004087526149998529236414248011299413139341664139271971898283883557909533514058185848601781<219>

29636415234355389776302264316444702943308644034771585737643042908914326697157474206498431313812456109190397190505826093458427<125>

1997723638576845673633751726076362328702401<43>
14835092633467568136534487503565952058903003924566339280690202421218537365249853627<83>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2388576780
Step 1 took 4796ms
Step 2 took 2907ms
********** Factor found in step 2: 1997723638576845673633751726076362328702401
Found prime factor of 43 digits: 1997723638576845673633751726076362328702401
Prime cofactor 14835092633467568136534487503565952058903003924566339280690202421218537365249853627 has 83 digits

GMP-ECM

10956229704266018112512381126970362821304747251024624124085533114496194249573019639539580560670036576303464501525309713180417451798279845331247378672156031485752262422881<170>

525361151759764739458774330409104821844081<42>

20854662868707969256691185382189100344964389335393215259091123653025095748604634713453044388302157011607169963668371140565794801<128>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:226814573
Step 1 took 7604ms
Step 2 took 3921ms
********** Factor found in step 2: 525361151759764739458774330409104821844081
Found prime factor of 42 digits: 525361151759764739458774330409104821844081
Composite cofactor 20854662868707969256691185382189100344964389335393215259091123653025095748604634713453044388302157011607169963668371140565794801 has 128 digits

20854662868707969256691185382189100344964389335393215259091123653025095748604634713453044388302157011607169963668371140565794801<128>

85851623873671927737465477341758649213795807192821243356613<59>
242915182354558324567565319233256238446629397363234932890312593801277<69>

20854662868707969256691185382189100344964389335393215259091123653025095748604634713453044388302157011607169963668371140565794801= 85851623873671927737465477341758649213795807192821243356613*242915182354558324567565319233256238446629397363234932890312593801277

cado polynomial
n: 20854662868707969256691185382189100344964389335393215259091123653025095748604634713453044388302157011607169963668371140565794801
skew: 13903.712
c0: 2263941804439071795568501741
c1: 852003197665275459523746
c2: -81807998383177695164
c3: -5065040737573149
c4: 172169562040
c5: 8290800
Y0: -2448529786851555052169874
Y1: 40158766485142547
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.596e-07
# f(x) = 8290800*x^5+172169562040*x^4-5065040737573149*x^3-81807998383177695164*x^2+852003197665275459523746*x+2263941804439071795568501741
# g(x) = 40158766485142547*x-2448529786851555052169874

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.ncurves0 = 16
tasks.sieve.ncurves1 = 21
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Filtering - Merging: Merged matrix has 1613471 rows and total weight 276248237 (171.2 entries per row on average)
Info:Square Root: Factors: 242915182354558324567565319233256238446629397363234932890312593801277 85851623873671927737465477341758649213795807192821243356613
Info:Square Root: Total cpu/real time for sqrt: 725.48/216.2
Info:Filtering - Singleton removal: Total cpu/real time for purge: 112.64/126.141
Info:Generate Free Relations: Total cpu/real time for freerel: 251.67/63.9262
Info:Linear Algebra: Total cpu/real time for bwc: 42376.7/10865.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 27096.49, WCT time 6916.69, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50688 iterations)
Info:Linear Algebra: Lingen CPU time 324.51, WCT time 82.46
Info:Linear Algebra: Mksol: CPU time 14661.7,  WCT time 3754.88, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23006237
Info:Lattice Sieving: Average J: 7627.49 for 49032 special-q, max bucket fill -bkmult 1.0,1s:1.075840
Info:Lattice Sieving: Total time: 70098.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.62/10.7521
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4930.92
Info:Polynomial Selection (root optimized): Rootsieve time: 4928.5
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 98.75/116.101
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 116.0s
Info:Filtering - Merging: Merged matrix has 1613471 rows and total weight 276248237 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 403.75/114.936
Info:Filtering - Merging: Total cpu/real time for replay: 65.52/55.3729
Info:Quadratic Characters: Total cpu/real time for characters: 63.64/25.8233
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38801/36.540/45.414/49.410/0.853
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30692/36.720/40.685/46.210/0.908
Info:Polynomial Selection (size optimized): Total time: 4832.53
Info:Square Root: Total cpu/real time for sqrt: 725.48/216.2
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 271.69/233.461
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 217.8s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 186308/50187.3
Info:root: Cleaning up computation data in /tmp/cado.i9n1zvlv
242915182354558324567565319233256238446629397363234932890312593801277 85851623873671927737465477341758649213795807192821243356613

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)

19203650880232640652707174745238238511664636172341947959231316494739375320190688211933301464599031293325970757407808181624525416439100577415581483<146>

437733798765026894851000829952077950008552865121<48>
43870614822094318657468770422791199353510131250105018978498773235787770319245792252092761960819723<98>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3474149047
Step 1 took 84890ms
Step 2 took 32281ms
********** Factor found in step 2: 437733798765026894851000829952077950008552865121
Found prime factor of 48 digits: 437733798765026894851000829952077950008552865121
Prime cofactor 43870614822094318657468770422791199353510131250105018978498773235787770319245792252092761960819723 has 98 digits

GMP-ECM

17372010202657942374312299701904789488653533129642228819740993652747609645067661530158921272708243173021161208006696162444176899205864400198052284225923216312817563036492671461300644723269717310673049342127<206>

134001455124537242689522758986098464297241596913684646278397220168703851040310980413328206859709467419530512661261097126078606325326762893024851138613122275978033726974839211062802459675317011204609178071292757051919581<219>

739673173705393708462420087937462007147974532489413999325611196269989882344162013428185037416102379960902543246625906360147610687566376749234355541503950309203667480047745855180435136065814458929434083265199<207>

133902347530716630094055855968535258294369747197430872798553269499819455162754384899845181335357364763317472622691388155964656171147315128700040733040591810546014236634995236219705059559053376617915030549188078531<213>

563032413456393683281972095733425166869350330868993087079401954317474661269997290578330991430109799595020453278556790877765635075725866187850937808005393875229535334810598452827214439414043888095528029166069314565541993<219>

720475246537608790669382480319194687898974775650294436858437947405190861028073979269020182183480423740523115345353249723241304892191483731159045123316671430413890467433631557703281997617620389182736109144441587508867<216>

1071355102075537149123548732460156330998933935229208584437735084518665928893875839453784556737970113867259111698018385596572445561044002165885789755868149882672282573137468722775767535704943494842019253851411<208>

7267102692544729276330777518438000399415289293<46>
147425342313468748363782685242671244595890194570751711901794502264767710583419911001097559712153473128942858574609320295754179172366260490042241584719552731858527<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:317155456
Step 1 took 8750ms
Step 2 took 3968ms
********** Factor found in step 2: 7267102692544729276330777518438000399415289293
Found prime factor of 46 digits: 7267102692544729276330777518438000399415289293
Prime cofactor 147425342313468748363782685242671244595890194570751711901794502264767710583419911001097559712153473128942858574609320295754179172366260490042241584719552731858527 has 162 digits
 

GMP-ECM

9430705881476440438700191418975604043438160092634315805516820449460222685132412053314845259360598229498728482980881464493271512525081336141190688896256408472562293089101376754571429441545378753931060119726286936571<214>

30139406163325588265512737944068980613901<41>

312902843220314278914151714092055012407152101516301770954761887941759345150796158721490345853729541785647239751000276815733835340202635025765556094664348404629265652159909671<174>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:366111579
Step 1 took 7438ms
Step 2 took 3609ms
********** Factor found in step 2: 30139406163325588265512737944068980613901
Found prime factor of 41 digits: 30139406163325588265512737944068980613901
Composite cofactor 312902843220314278914151714092055012407152101516301770954761887941759345150796158721490345853729541785647239751000276815733835340202635025765556094664348404629265652159909671 has 174 digits

GMP-ECM

94361560645465805328674040648419202533094045594260775165251951498848592814534595405223232651776605929534167626483984921926533454999527390248891818631351598921909334389608633<173>

1696565687332074522654869121041130276815437945868320181294358862194776593806166303620082879106078828764477544736547704852367990122124154776392456211416244202475719134171797651135086148228608421535116857023581645178572994842558397<229>

248228303556307649791144771086425498809500833161992518356818615848586277359420343273018071292020602892232702007332967682178560712858485765985306565232606285592701427261950933076393384107916495200196149828107<207>

433893811205724975955156669620075283122992059593631735376619501417095748531197979586919973892694016678069511119029189644050736496356472434919758499912553150390148783287827714198443147695272451286224274390150524458630710633<222>

19175174822767011619447554495779912258080271351252812281372571692323160859803106311418549203659682073585876983514206872091872579995668252145410580332767135463491833833819349121088691992624165267339508953314220582084367397945721758591<233>

79629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629<254>

8836956469766837985958932543084841184164364633499146426181029582894214646912684775093951435510142793719275420087573839122353209191755103748459726157680743208686634226021921394137461454374863950930369084597111441<211>

5427205359473075114407423369026695174176568425225406133139342622514342984979314303461907407445362018818686612661099998907973833516133469937436068462741327277684108947297587340791561916502003461878803906088681784502397172221601<226>

404272397483165920176207761839289413503802224764118974894290370898667065925727725845257539968634174444068322782937774544750892150670317207644171130459162318813843375994963301972232556502818348841317560893<204>

35651242887057408039241500413489527<35>
11339643859371037625966410255292634366571407205629606012358743261657878303029983208751087873030253116679151008081632910359482794179170606099848979560944144638408992884459<170>

Resuming ECM residue saved by @c01458daa5e5 with GMP-ECM 7.0.5-dev on Mon Jul 31 23:06:53 2023 
Input number is 404272397483165920176207761839289413503802224764118974894290370898667065925727725845257539968634174444068322782937774544750892150670317207644171130459162318813843375994963301972232556502818348841317560893 (204 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3499773663
Step 1 took 0ms
Step 2 took 4771ms
********** Factor found in step 2: 35651242887057408039241500413489527
Found prime factor of 35 digits: 35651242887057408039241500413489527
Prime cofactor 11339643859371037625966410255292634366571407205629606012358743261657878303029983208751087873030253116679151008081632910359482794179170606099848979560944144638408992884459 has 170 digits

340222635010435934449790221289190341098844109913820838132159363745040444372398287214144982617407115506847199819879847734325698547000929779365451350127169172825353312232265707551145270782468306988843253226139884724527453201263175179<231>

1743133148195298850399304524447000222410569<43>
195178799372082011092652404055884783208500894093313481145352186565675473469665192626343628362212741820265671791821988507116312379679115800669510123260822640982666041433738129065263074688691<189>

Resuming ECM residue saved by @c01458daa5e5 with GMP-ECM 7.0.5-dev on Mon Jul 31 23:17:12 2023 
Input number is 340222635010435934449790221289190341098844109913820838132159363745040444372398287214144982617407115506847199819879847734325698547000929779365451350127169172825353312232265707551145270782468306988843253226139884724527453201263175179 (231 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2568525797
Step 1 took 0ms
Step 2 took 5324ms
********** Factor found in step 2: 1743133148195298850399304524447000222410569
Found prime factor of 43 digits: 1743133148195298850399304524447000222410569
Prime cofactor 195178799372082011092652404055884783208500894093313481145352186565675473469665192626343628362212741820265671791821988507116312379679115800669510123260822640982666041433738129065263074688691 has 189 digits

139425426451603295486952714774547772894605421619564851670496733852423890701745100683540019972210921064720065215133798063764369385634535136901364111917219213475515008787174963725014814876199722565950572290220657634679409075149138271<231>

4349069794999561718142938124020335210459005024565788800033124124828353168609317156713363234566315887069098843632962569086970540049533798679118140162792439921478054549801069078465343572786771829708137716656289961672021960058495284759<232>

46206748334407908875993982376961100365355684504620674833440790887599398237696110036535568450462067483344079088759939823769611003653556845046206748334407908875993982376961100365355684504620674833440790887599398237696110036535568450462067483344079088759939823769611<263>

1244757308452406390037709451465364497<37>

37121090208224019891134625318605681624978357210306655544102550914194533114192624685438566212747526948671642638409741033244067551474533390057723098095702717899357619634717686578658701061877004106449352093852350317243301951247963<227>

Resuming ECM residue saved by @e183e8cb073f with GMP-ECM 7.0.5-dev on Wed Jun  8 11:21:53 2022 
Input number is 46206748334407908875993982376961100365355684504620674833440790887599398237696110036535568450462067483344079088759939823769611003653556845046206748334407908875993982376961100365355684504620674833440790887599398237696110036535568450462067483344079088759939823769611 (263 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:125199779
Step 1 took 0ms
Step 2 took 4797ms
********** Factor found in step 2: 1244757308452406390037709451465364497
Found prime factor of 37 digits: 1244757308452406390037709451465364497
Composite cofactor 37121090208224019891134625318605681624978357210306655544102550914194533114192624685438566212747526948671642638409741033244067551474533390057723098095702717899357619634717686578658701061877004106449352093852350317243301951247963 has 227 digits

13587524283823944096963707163506596511841245374622374967994202451587089937592767804174599872507184220712402562829579527924336589149518956448981812991463543206591808246191297509084137443962861580244256753259607159937392568493884746381771023<239>

47829901848213924348254018041559108062562196808615871181874360818710792425146854316675003863488129871949631046699850340682046258148983376882236501472352317886764415902940484258713238290602110145372001277329786232217924227242141718980288116161007720771720383217<260>

23888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<269>

39926492738186388153525111743408342301089115098016998135489009160885868030118022752262360362447734602083343035432235641506715577963241485998797010638059346622045337447642541210531840130339869174492312674171795815866760906101<224>

34926872742484339912797819302527650297616014777014131031156839499631861227037210760602352521696180270289886212478730988686165098069548655209981894827950885550524172982919313712193278415496378320482993404562732112862764551765934879906185553<239>

640435615369263260740701023803353499608291705018334331221385187766786115355858794372507141601803943296128492235835202511699120369129216077019084981338004045170072890509339934288327092809546363070397278595450226237604592072300712819733757510224629068627889034848633787<267>

9623041342075837846729128644021413331506504502874519693267369844572560432149257974961282937373822054808997068800226249131290006643597296681898244610995681065295326241860356730326299140739920320318503502220849559894389074263460999<229>

4877353698013705005340358390425442688860443031593670897470385973183487737065573693680104377757771855020226662285666788943780859868480701635231619906750298453287769526063888731327435554391249512998384063529052890787687229089281609306286390864479126893<250>

109628849609216542336038742627529<33>

44489691494524848869377968562304118277071738463047411397192647206999118631126501368437622841834942975950520152181197351954767624634717766296979936530555894515284828851937770580842761320683435822459471103787383984714117<218>

GPU: factor 109628849609216542336038742627529 found in Step 1 with curve 1275 (-sigma 3:2029236697)
Computing 1792 Step 1 took 377ms of CPU time / 267629ms of GPU time
Throughput: 6.696 curves per second (on average 149.35ms per Step 1)
********** Factor found in step 1: 109628849609216542336038742627529
Found prime factor of 33 digits: 109628849609216542336038742627529
Composite cofactor 44489691494524848869377968562304118277071738463047411397192647206999118631126501368437622841834942975950520152181197351954767624634717766296979936530555894515284828851937770580842761320683435822459471103787383984714117 has 218 digits
Peak memory usage: 9428MB

12022591287815243527372364815746798635575686406083990381926969747805178102108147402561091539450875132807694458424201755857518313482077951126768439299893753844433260638595313985349214337639098585248560084996924453391489123748811720628529888721131801151932002460437286808701<272>

6064328617316044005404867697346055006752672098732554709068363858229301308382263981590201430860151001293597134891157672271254611193784342093378428515863397936538432384547282517898864248584627146503<196>

4061501135332207640457677978869801<34>
1493124934660400259608153851556357430930408575721361461990859141769919849208742692621757847520210308613988104356162699292927213879780023863048319476049535204957103<163>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3491880665
Step 1 took 10625ms
Step 2 took 4974ms
********** Factor found in step 2: 4061501135332207640457677978869801
Found prime factor of 34 digits: 4061501135332207640457677978869801
Prime cofactor 1493124934660400259608153851556357430930408575721361461990859141769919849208742692621757847520210308613988104356162699292927213879780023863048319476049535204957103 has 163 digits

2415172823913949805005948389880064299144269501340700914556310990426047897857972722550062400968337308178430843934055653770639737919155530769885938499419898794600560573465905263809507295952251798954463113280355553610347253622973271811741<235>

79629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629<278>

7441720082641166834018836897224999887508882471703292043901302716366280770214567288206050499166354287486453473500727038745748268415574724041982377314591274773572686741312310993289645244550497608784967863883671031668153280050617541622578801758461149202334138769734835937762299<274>

159208432802015778687468583248593091105131<42>

46741996963787368634467916777011369972314044550475274009554150759240599907134973086927406160241201932487935553543542554478231273171774198927271693879615628344079632298282772570154869003542172977938675473798199017577098733356919108529<233>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:335992595
Step 1 took 14250ms
Step 2 took 5531ms
********** Factor found in step 2: 159208432802015778687468583248593091105131
Found prime factor of 42 digits: 159208432802015778687468583248593091105131
Composite cofactor 46741996963787368634467916777011369972314044550475274009554150759240599907134973086927406160241201932487935553543542554478231273171774198927271693879615628344079632298282772570154869003542172977938675473798199017577098733356919108529 has 233 digits
 

GMP-ECM

108374304377127361239031349207883570145079497288379176661021406231083325011675177321532806853284229830956314986093813253426696342467002285396891918842873348618899000803949998170491994463560474653176718394395189653647764210251188917218666561724254985998457467043<261>

352422964485950214574449009510017896769147165776969543619257498910628553574643677956950125265606141878098487191265532334753032836181696899551275266657911604049737365625422486497312017696562577942013366861819245104364291<219>

890065088769715911323812588459553369<36>

395951901644725262788402611002159885358359505953700405050020709458638875424273561215042652950032389233754401359648951940985105080968324579224644168379319690307926685502814505675134139<183>

Resuming ECM residue saved by @c01458daa5e5 with GMP-ECM 7.0.5-dev on Mon Jul 31 23:30:26 2023 
Input number is 352422964485950214574449009510017896769147165776969543619257498910628553574643677956950125265606141878098487191265532334753032836181696899551275266657911604049737365625422486497312017696562577942013366861819245104364291 (219 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1701802607
Step 1 took 1ms
Step 2 took 5137ms
********** Factor found in step 2: 890065088769715911323812588459553369
Found prime factor of 36 digits: 890065088769715911323812588459553369
Composite cofactor 395951901644725262788402611002159885358359505953700405050020709458638875424273561215042652950032389233754401359648951940985105080968324579224644168379319690307926685502814505675134139 has 183 digits

395951901644725262788402611002159885358359505953700405050020709458638875424273561215042652950032389233754401359648951940985105080968324579224644168379319690307926685502814505675134139<183>

18040926508268591787363152016373515867427838540687<50>
21947426118234612586743167008592537845909761481824199980840036983951213987370906921241259369705755145883406465319524199580346756312597<134>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2742667828
Step 1 took 27422ms
Step 2 took 11578ms
********** Factor found in step 2: 18040926508268591787363152016373515867427838540687
Found prime factor of 50 digits: 18040926508268591787363152016373515867427838540687
Prime cofactor 21947426118234612586743167008592537845909761481824199980840036983951213987370906921241259369705755145883406465319524199580346756312597 has 134 digits

GMP-ECM

2171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717171717<283>

189708481220943517081874555793310392109190841850839737215537673505748151368083843133464660971886688273798001983408892583664548295983841620251375590265224012150407490012393797119773616223046421582520693974678923197976777952254948930648118624751949048093823<255>

689623364885085095210523579070359422351<39>

275089985172639062971027459414689276801203077211358195644228191251816108915724133375728061972590532635584180566063888216004604650272396181426997331335724260947664949002014564319666717909429640856166530169046994592273<216>

Resuming ECM residue saved by @e183e8cb073f with GMP-ECM 7.0.5-dev on Wed Jun  8 10:59:33 2022 
Input number is 189708481220943517081874555793310392109190841850839737215537673505748151368083843133464660971886688273798001983408892583664548295983841620251375590265224012150407490012393797119773616223046421582520693974678923197976777952254948930648118624751949048093823 (255 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2165152189
Step 1 took 0ms
Step 2 took 4926ms
********** Factor found in step 2: 689623364885085095210523579070359422351
Found prime factor of 39 digits: 689623364885085095210523579070359422351
Composite cofactor 275089985172639062971027459414689276801203077211358195644228191251816108915724133375728061972590532635584180566063888216004604650272396181426997331335724260947664949002014564319666717909429640856166530169046994592273 has 216 digits

2090599187952996923876532464854172187998309527541855870652118401750815985887151413985304603464649331059096729895358209236406774675960712218410558267827234986997448328025493275486546739788765450539014043<202>