37222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<113>

4451980029625917126198064573115885634823929187<46>
8360824166893188726618411817671014673961689774921280608332391923429<67>

N=37222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
  ( 113 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=4451980029625917126198064573115885634823929187 (pp46)
 r2=8360824166893188726618411817671014673961689774921280608332391923429 (pp67)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.35 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 37222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
m: 10000000000000000000000000000
deg: 4
c4: 67
c0: 14
skew: 0.68
# Murphy_E = 5.97e-08
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [275000, 655001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 67912 x 68142
Total sieving time: 0.34 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113.000,4,0,0,0,0,0,0,0,0,550000,550000,25,25,45,45,2.2,2.2,20000
total time: 0.35 hours.
 --------- CPU info (if available) ----------

1282385036375898518914148976298113383576635480406215281733911689903462471715261060907899765488870312527213<106>

5203522837597415209991540315817669995969551<43>
246445547833514428026274031848470165890164403550809823858170563<63>

N=1282385036375898518914148976298113383576635480406215281733911689903462471715261060907899765488870312527213
  ( 106 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=5203522837597415209991540315817669995969551 (pp43)
 r2=246445547833514428026274031848470165890164403550809823858170563 (pp63)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1282385036375898518914148976298113383576635480406215281733911689903462471715261060907899765488870312527213
m: 10000000000000000000000000000
deg: 4
c4: 335
c0: 7
skew: 0.38
# Murphy_E = 6.854e-08
type: snfs
lss: 1
rlim: 570000
alim: 570000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 570000/570000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [285000, 625001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 59134 x 59359
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,4,0,0,0,0,0,0,0,0,570000,570000,25,25,45,45,2.2,2.2,20000
total time: 0.01 hours.
 --------- CPU info (if available) ----------

12387999541459121450468340340873372457224422478857197797524618837894705701807908350990855067801185550045669192339409<116>

9016739195797821820122985362314032802258101390500173<52>
1373889082566838372657152897961293173580325800857600801669686933<64>

N=12387999541459121450468340340873372457224422478857197797524618837894705701807908350990855067801185550045669192339409
  ( 116 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=9016739195797821820122985362314032802258101390500173 (pp52)
 r2=1373889082566838372657152897961293173580325800857600801669686933 (pp64)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 12387999541459121450468340340873372457224422478857197797524618837894705701807908350990855067801185550045669192339409
m: 500000000000000000000000000000
deg: 4
c4: 268
c0: 35
skew: 0.60
# Murphy_E = 3.936e-08
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 665001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 61535 x 61761
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 0.01 hours.
 --------- CPU info (if available) ----------

215922341780485407849224050740914988996317086094300896145588904206935450239581597313677016331764572440450002295834583<117>

4009021542935790293700521084056090376152195051<46>
53859112371435736541799014914611584147862060070868830949493954395252933<71>

N=215922341780485407849224050740914988996317086094300896145588904206935450239581597313677016331764572440450002295834583
  ( 117 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=4009021542935790293700521084056090376152195051 (pp46)
 r2=53859112371435736541799014914611584147862060070868830949493954395252933 (pp71)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.03 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 215922341780485407849224050740914988996317086094300896145588904206935450239581597313677016331764572440450002295834583
m: 10000000000000000000000000000000
deg: 4
c4: 67
c0: 14
skew: 0.68
# Murphy_E = 1.617e-08
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 890001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 113973 x 114198
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,125.000,4,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,75000
total time: 0.03 hours.
 --------- CPU info (if available) ----------

21437113478820724772901663949320935988255663345760212356813963628804244789146329185507257624531350020803460853<110>

1443748701420259834908937040904886418891354758649<49>
14848230483416109325560088183909806172949437248712576990943197<62>

Number: 1
N=21437113478820724772901663949320935988255663345760212356813963628804244789146329185507257624531350020803460853
  ( 110 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=1443748701420259834908937040904886418891354758649 (pp49)
 r2=14848230483416109325560088183909806172949437248712576990943197 (pp62)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.02 hours.
Scaled time: 15.60 units (timescale=7.734).
Factorization parameters were as follows:
n: 21437113478820724772901663949320935988255663345760212356813963628804244789146329185507257624531350020803460853
m: 10000000000000000000000000000000
deg: 4
c4: 335
c0: 7
skew: 0.38
# Murphy_E = 1.853e-08
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 104475 x 104701
Total sieving time: 2.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126.000,4,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,75000
total time: 2.02 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

1097514414549560541959956508419535964942912820488828923322207846093856595575612746147133876652766204324468231087301535117<121>

807483165323696771720780017580407583807775082728990138061349<60>
1359179313799809790329552008901782784573947390577680885679433<61>

N=1097514414549560541959956508419535964942912820488828923322207846093856595575612746147133876652766204324468231087301535117
  ( 121 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=807483165323696771720780017580407583807775082728990138061349 (pp60)
 r2=1359179313799809790329552008901782784573947390577680885679433 (pp61)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.03 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1097514414549560541959956508419535964942912820488828923322207846093856595575612746147133876652766204324468231087301535117
m: 50000000000000000000000000000000
deg: 4
c4: 268
c0: 35
skew: 0.60
# Murphy_E = 1.627e-08
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 1100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 102581 x 102806
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,100000
total time: 0.03 hours.
 --------- CPU info (if available) ----------

37222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<131>

109362045666107191826741383250314197560210302498902791124651671<63>
340357772164076324556691448145802461355875235994637538254227096365513<69>

Number: n
N=37222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223  ( 131 digits)
SNFS difficulty: 131 digits.
Divisors found:

Sat Nov 26 22:03:26 2022  p63 factor: 109362045666107191826741383250314197560210302498902791124651671
Sat Nov 26 22:03:26 2022  p69 factor: 340357772164076324556691448145802461355875235994637538254227096365513
Sat Nov 26 22:03:26 2022  elapsed time 00:03:18 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 67x10^130+14 = 74(129)6
#
n: 37222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
m: 100000000000000000000000000000000
deg: 4
c4: 3350
c0: 7
skew: 0.21
# Murphy_E = 7.696e-09
type: snfs
lss: 1
rlim: 1090000
alim: 1090000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1090000/1090000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved  special-q in [100000, 56545000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 324159 hash collisions in 5911429 relations (6257401 unique)
Msieve: matrix is 236636 x 236884 (72.8 MB)

Sieving start time : 2022/11/26 20:29:09
Sieving end time  : 2022/11/26 21:59:10

Total sieving time: 1hrs 30min 1secs.

Total relation processing time: 0hrs 1min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 19sec.

Prototype def-par.txt line would be:
snfs,131,4,0,0,0,0,0,0,0,0,1090000,1090000,26,26,47,47,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

116383393479516510554259039667086232767500729912817651816936185417247412730401373531050478904012293688911<105>

1362752937268733639414933386375841298580181579<46>
85403149974327159526906033213616800950251940979554784039309<59>

116383393479516510554259039667086232767500729912817651816936185417247412730401373531050478904012293688911=1362752937268733639414933386375841298580181579*85403149974327159526906033213616800950251940979554784039309

cado polynomial
n: 116383393479516510554259039667086232767500729912817651816936185417247412730401373531050478904012293688911
skew: 17145.385
c0: -2806408714517534008379868
c1: 701402264357397210238
c2: 39732526142754723
c3: 3018731632373
c4: -92646144
c5: -4320
Y0: -229525588542519365933
Y1: 164331498213383
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.577e-06
# f(x) = -4320*x^5-92646144*x^4+3018731632373*x^3+39732526142754723*x^2+701402264357397210238*x-2806408714517534008379868
# g(x) = 164331498213383*x-229525588542519365933

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

cado log (extracts)
Info:Square Root: Factors: 85403149974327159526906033213616800950251940979554784039309 1362752937268733639414933386375841298580181579
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 64.09/20.0052
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.48/15.5446
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 15.4s
Info:Quadratic Characters: Total cpu/real time for characters: 8.32/3.31665
Info:Filtering - Singleton removal: Total cpu/real time for purge: 16.17/15.6526
Info:Filtering - Merging: Merged matrix has 221239 rows and total weight 32407184 (146.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 30.89/9.17171
Info:Filtering - Merging: Total cpu/real time for replay: 6.74/5.66611
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4603400
Info:Lattice Sieving: Average J: 1906.55 for 39896 special-q, max bucket fill -bkmult 1.0,1s:1.324830
Info:Lattice Sieving: Total time: 3876.15s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 37.24/32.2536
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 25.4s
Info:Linear Algebra: Total cpu/real time for bwc: 624.42/181.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 378.6, WCT time 99.56, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7040 iterations)
Info:Linear Algebra: Lingen CPU time 20.24, WCT time 20.85
Info:Linear Algebra: Mksol: CPU time 207.35,  WCT time 54.12, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3456 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 151.89
Info:Polynomial Selection (root optimized): Rootsieve time: 151.28
Info:Generate Factor Base: Total cpu/real time for makefb: 1.43/0.394166
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10425.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 7072/30.710/36.762/41.970/1.075
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 5337/29.850/32.591/37.150/0.853
Info:Polynomial Selection (size optimized): Total time: 436.19
Info:Generate Free Relations: Total cpu/real time for freerel: 61.21/16.1962
Info:Square Root: Total cpu/real time for sqrt: 64.09/20.0052
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 8626.09/2476.58
Info:root: Cleaning up computation data in /tmp/cado._5q50l94
85403149974327159526906033213616800950251940979554784039309 1362752937268733639414933386375841298580181579

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)

1207874752002468432015894970476968852239038870723507905896097591712722937880294377975604305336566304328569469119079<115>

822187061534423051933324749881256857001543651021<48>
1469099683651367624094304701897179528377901725770189460163949508099<67>

1207874752002468432015894970476968852239038870723507905896097591712722937880294377975604305336566304328569469119079=822187061534423051933324749881256857001543651021*1469099683651367624094304701897179528377901725770189460163949508099

cado polynomial
n: 1207874752002468432015894970476968852239038870723507905896097591712722937880294377975604305336566304328569469119079
skew: 22255.872
c0: 179660838646980590245831858
c1: 2336027561540029742577
c2: -1956294415082924620
c3: 73211274676299
c4: 2028796926
c5: 22680
Y0: -10073402797464713856864
Y1: 2997228075189071
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.131e-06
# f(x) = 22680*x^5+2028796926*x^4+73211274676299*x^3-1956294415082924620*x^2+2336027561540029742577*x+179660838646980590245831858
# g(x) = 2997228075189071*x-10073402797464713856864

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

cado log (extracts)
Info:Square Root: Factors: 1469099683651367624094304701897179528377901725770189460163949508099 822187061534423051933324749881256857001543651021
Info:Square Root: Total cpu/real time for sqrt: 524.45/153.598
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 349.14
Info:Polynomial Selection (root optimized): Rootsieve time: 348.05
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21855/32.560/40.664/47.750/1.074
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17029/32.320/35.991/41.130/0.823
Info:Polynomial Selection (size optimized): Total time: 1796.21
Info:Quadratic Characters: Total cpu/real time for characters: 16.33/6.46521
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 117.66/127.628
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 94.30000000000003s
Info:Square Root: Total cpu/real time for sqrt: 524.45/153.598
Info:Generate Free Relations: Total cpu/real time for freerel: 63.83/16.8977
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.7/30.8105
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 29.899999999999995s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.78/100.158
Info:Filtering - Merging: Merged matrix has 446944 rows and total weight 69626414 (155.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 72.82/21.4621
Info:Filtering - Merging: Total cpu/real time for replay: 15.24/12.4619
Info:Generate Factor Base: Total cpu/real time for makefb: 4.2/1.18028
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7231894
Info:Lattice Sieving: Average J: 1895.64 for 152448 special-q, max bucket fill -bkmult 1.0,1s:1.250660
Info:Lattice Sieving: Total time: 17130.7s
Info:Linear Algebra: Total cpu/real time for bwc: 2731.64/705.83
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1695.06, WCT time 434.75, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14080 iterations)
Info:Linear Algebra: Lingen CPU time 69.69, WCT time 17.75
Info:Linear Algebra: Mksol: CPU time 928.2,  WCT time 237.55, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7040 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 37242.6/10220.7
Info:root: Cleaning up computation data in /tmp/cado.voh9rlj0
1469099683651367624094304701897179528377901725770189460163949508099 822187061534423051933324749881256857001543651021

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)

114838726166280866084417231101117587372637170739684557956410660243594682353294537536769130075948985372130131499915838446560024841<129>

25380586084795899003168171446608593228241<41>
4524668019194181478156667977164908461903482465017950818475518988722111309619106836572601<88>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 114838726166280866084417231101117587372637170739684557956410660243594682353294537536769130075948985372130131499915838446560024841 (129 digits)
Using B1=25550000, B2=96190324246, polynomial Dickson(12), sigma=1:1203758280
Step 1 took 39797ms
Step 2 took 15190ms
********** Factor found in step 2: 25380586084795899003168171446608593228241
Found prime factor of 41 digits: 25380586084795899003168171446608593228241
Prime cofactor 4524668019194181478156667977164908461903482465017950818475518988722111309619106836572601 has 88 digits

244295047134767094328871949528271009546317850337767370826439023341539127990319881748398700300283636319860914619987309<117>

10693066484701099746474130422051658638644226071345207<53>
22846116919247398139423113786411606470989350138982366118233924987<65>

244295047134767094328871949528271009546317850337767370826439023341539127990319881748398700300283636319860914619987309=10693066484701099746474130422051658638644226071345207*22846116919247398139423113786411606470989350138982366118233924987

cado polynomial
n: 244295047134767094328871949528271009546317850337767370826439023341539127990319881748398700300283636319860914619987309
skew: 17662.232
c0: -232325706238394067798941442
c1: 8568607018711062733381
c2: 3127885277933334858
c3: -5372821138045
c4: -2942086572
c5: -133920
Y0: -28682213710044442930401
Y1: 171429231919114097
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 8.829e-07
# f(x) = -133920*x^5-2942086572*x^4-5372821138045*x^3+3127885277933334858*x^2+8568607018711062733381*x-232325706238394067798941442
# g(x) = 171429231919114097*x-28682213710044442930401

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

cado log (extracts)
Info:Square Root: Factors: 22846116919247398139423113786411606470989350138982366118233924987 10693066484701099746474130422051658638644226071345207
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 170.73/51.9663
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 30.81/28.2668
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 27.4s
Info:Quadratic Characters: Total cpu/real time for characters: 17.18/6.71021
Info:Filtering - Singleton removal: Total cpu/real time for purge: 99.2/92.8085
Info:Filtering - Merging: Merged matrix has 476009 rows and total weight 74216258 (155.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 86.54/24.7667
Info:Filtering - Merging: Total cpu/real time for replay: 15.37/13.0407
Info:Generate Factor Base: Total cpu/real time for makefb: 3.97/1.06755
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7607537
Info:Lattice Sieving: Average J: 1898.81 for 201258 special-q, max bucket fill -bkmult 1.0,1s:1.260130
Info:Lattice Sieving: Total time: 21443.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 144.19/167.354
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 116.1s
Info:Linear Algebra: Total cpu/real time for bwc: 3256.22/888.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2042.1, WCT time 527.42, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14976 iterations)
Info:Linear Algebra: Lingen CPU time 52.54, WCT time 54.0
Info:Linear Algebra: Mksol: CPU time 1114.15,  WCT time 287.97, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7552 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 313.9
Info:Polynomial Selection (root optimized): Rootsieve time: 312.78
Info:Generate Free Relations: Total cpu/real time for freerel: 64.61/17.793
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 23189.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 15898/33.780/41.597/46.150/1.093
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 12556/32.710/36.725/41.920/0.783
Info:Polynomial Selection (size optimized): Total time: 1599.9
Info:Square Root: Total cpu/real time for sqrt: 170.73/51.9663
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 45587.5/12391.2
Info:root: Cleaning up computation data in /tmp/cado.y1lgsnmt
22846116919247398139423113786411606470989350138982366118233924987 10693066484701099746474130422051658638644226071345207

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)

1439058530571413092787679294069149051256756287028665020449559417682643397257805249999237145521792249270962255669174779978037655983017<133>

18898790603683564138893857606571065590842661<44>
76145535486854176210166253392134853095441723150633986933269823455854794336412615884850997<89>

1439058530571413092787679294069149051256756287028665020449559417682643397257805249999237145521792249270962255669174779978037655983017=18898790603683564138893857606571065590842661*76145535486854176210166253392134853095441723150633986933269823455854794336412615884850997

ado polynomial
n: 1439058530571413092787679294069149051256756287028665020449559417682643397257805249999237145521792249270962255669174779978037655983017
skew: 0.46
type: snfs
c0: 7
c5: 335
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 335*x^5+7
# g(x) = -x+1000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2400000
tasks.lim1 = 2400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 76145535486854176210166253392134853095441723150633986933269823455854794336412615884850997 18898790603683564138893857606571065590842661
Info:Square Root: Total cpu/real time for sqrt: 51.67/10.2888
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.32/0.324058
Info:Generate Free Relations: Total cpu/real time for freerel: 48.88/6.45084
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11652518
Info:Lattice Sieving: Average J: 1893.96 for 161142 special-q, max bucket fill -bkmult 1.0,1s:1.119150
Info:Lattice Sieving: Total time: 22314.4s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.89/20.1547
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 118.54/36.3187
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 33.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 110.73/41.2868
Info:Filtering - Merging: Merged matrix has 255593 rows and total weight 43575627 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 52.17/7.35994
Info:Filtering - Merging: Total cpu/real time for replay: 7.41/6.06868
Info:Linear Algebra: Total cpu/real time for bwc: 667.13/178.04
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 105.53, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8064 iterations)
Info:Linear Algebra: Lingen CPU time 21.45, WCT time 5.84
Info:Linear Algebra: Mksol: WCT time 61.46, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4096 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 8.72/2.2094
Info:Square Root: Total cpu/real time for sqrt: 51.67/10.2888
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 47776.6/11656.5
Info:root: Cleaning up computation data in /tmp/cado.1x_6pvza
76145535486854176210166253392134853095441723150633986933269823455854794336412615884850997 18898790603683564138893857606571065590842661

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)

247149904455541777937694240010861629659533136046793000547856499226414920623445412664817170976522239581317046377187071252461567168236480987<138>

821853072149083018924788737160051035876006757405492194370741804919<66>
300722736010785544151234919600438644165633737763538594607499883172170173<72>

Number: n
N=247149904455541777937694240010861629659533136046793000547856499226414920623445412664817170976522239581317046377187071252461567168236480987  ( 138 digits)
SNFS difficulty: 153 digits.
Divisors found:

Wed Nov 30 06:02:14 2022  p66 factor: 821853072149083018924788737160051035876006757405492194370741804919
Wed Nov 30 06:02:14 2022  p72 factor: 300722736010785544151234919600438644165633737763538594607499883172170173
Wed Nov 30 06:02:14 2022  elapsed time 00:06:05 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 67x10^152+14 = 74(151)6
#
n: 247149904455541777937694240010861629659533136046793000547856499226414920623445412664817170976522239581317046377187071252461567168236480987
m: 1000000000000000000000000000000
deg: 5
c5: 3350
c0: 7
skew: 0.29
# Murphy_E = 7.916e-10
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1470488 hash collisions in 14179658 relations (13587977 unique)
Msieve: matrix is 368102 x 368329 (123.0 MB)

Sieving start time : 2022/11/30 05:28:55
Sieving end time  : 2022/11/30 05:55:50

Total sieving time: 0hrs 26min 55secs.

Total relation processing time: 0hrs 2min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 37sec.

Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

366007526364392742946596008482084408894874606926088027776275743224015397129032113098683208293775759982217641960738599<117>

20072313244578363467791630919176010584714973<44>
18234446717956301594549641082781485597301764894065508651216880426127326163<74>

366007526364392742946596008482084408894874606926088027776275743224015397129032113098683208293775759982217641960738599=20072313244578363467791630919176010584714973*18234446717956301594549641082781485597301764894065508651216880426127326163

cado polynomial
n: 366007526364392742946596008482084408894874606926088027776275743224015397129032113098683208293775759982217641960738599
skew: 31043.455
c0: -3817115128066889498914082060
c1: 23981037128182935781011
c2: 19179208307739539854
c3: 178452050230633
c4: -7859596590
c5: 113400
Y0: -34039632121010185924270
Y1: 176757813476701883
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 8.419e-07
# f(x) = 113400*x^5-7859596590*x^4+178452050230633*x^3+19179208307739539854*x^2+23981037128182935781011*x-3817115128066889498914082060
# g(x) = 176757813476701883*x-34039632121010185924270

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

cado log (extracts)
Info:Square Root: Factors: 18234446717956301594549641082781485597301764894065508651216880426127326163 20072313244578363467791630919176010584714973
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 304.32/89.8873
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.95/27.4006
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 26.500000000000004s
Info:Quadratic Characters: Total cpu/real time for characters: 16.61/6.81066
Info:Filtering - Singleton removal: Total cpu/real time for purge: 105.18/96.8847
Info:Filtering - Merging: Merged matrix has 458121 rows and total weight 71459738 (156.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 78.81/22.8915
Info:Filtering - Merging: Total cpu/real time for replay: 15.01/12.8239
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7374148
Info:Lattice Sieving: Average J: 1898.6 for 178043 special-q, max bucket fill -bkmult 1.0,1s:1.250070
Info:Lattice Sieving: Total time: 19310.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 142.7/159.298
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 109.5s
Info:Linear Algebra: Total cpu/real time for bwc: 3077.62/842.65
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1926.64, WCT time 498.82, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14336 iterations)
Info:Linear Algebra: Lingen CPU time 50.96, WCT time 52.52
Info:Linear Algebra: Mksol: CPU time 1054.77,  WCT time 273.52, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7168 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 335.96
Info:Polynomial Selection (root optimized): Rootsieve time: 334.86
Info:Generate Factor Base: Total cpu/real time for makefb: 3.99/1.08654
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 23189.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 15912/34.160/41.668/46.840/1.083
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 12568/33.250/36.806/42.070/0.818
Info:Polynomial Selection (size optimized): Total time: 1592.15
Info:Generate Free Relations: Total cpu/real time for freerel: 63.5/17.229
Info:Square Root: Total cpu/real time for sqrt: 304.32/89.8873
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 41560.8/11305.1
Info:root: Cleaning up computation data in /tmp/cado.0d3ovg_r
18234446717956301594549641082781485597301764894065508651216880426127326163 20072313244578363467791630919176010584714973

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)

282926280253033019811942567435833907747442348478876125458649062072238760683864932056408494756373921264968995937247477242294176784373<132>

2091072967397589072361104991542597942101339<43>
81025299495876620111640269548433129986307701<44>
1669873055338366258929206444558021508464801107<46>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 282926280253033019811942567435833907747442348478876125458649062072238760683864932056408494756373921264968995937247477242294176784373 (132 digits)
Using B1=25960000, B2=96191014936, polynomial Dickson(12), sigma=1:996911853
Step 1 took 40630ms
********** Factor found in step 1: 2091072967397589072361104991542597942101339
Found prime factor of 43 digits: 2091072967397589072361104991542597942101339
Composite cofactor 135301964428885678997937466812541128167839914907222744040571600640034795597143822267425007 has 90 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 135301964428885678997937466812541128167839914907222744040571600640034795597143822267425007 (90 digits)
Using B1=35250000, B2=192388936756, polynomial Dickson(12), sigma=1:3988562099
Step 1 took 36529ms
Step 2 took 16873ms
********** Factor found in step 2: 1669873055338366258929206444558021508464801107
Found prime factor of 46 digits: 1669873055338366258929206444558021508464801107
Prime cofactor 81025299495876620111640269548433129986307701 has 44 digits

3817769540512631859776857638336879300475215439014436525136821452719431432688107488332725339288597963453574839736302669122347205740284317844927215648251<151>

596172185858413317237492575946716691116690839819<48>
6403803516957976896972875625685274296072345794836270843334633185623141241272252877675364542576334136529<103>

Number: n
N=3817769540512631859776857638336879300475215439014436525136821452719431432688107488332725339288597963453574839736302669122347205740284317844927215648251  ( 151 digits)
SNFS difficulty: 157 digits.
Divisors found:

Sun Nov 27 11:04:21 2022  p48 factor: 596172185858413317237492575946716691116690839819
Sun Nov 27 11:04:21 2022  p103 factor: 6403803516957976896972875625685274296072345794836270843334633185623141241272252877675364542576334136529
Sun Nov 27 11:04:21 2022  elapsed time 00:20:22 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.791).
Factorization parameters were as follows:
#
# N = 67x10^156+14 = 74(155)6
#
n: 3817769540512631859776857638336879300475215439014436525136821452719431432688107488332725339288597963453574839736302669122347205740284317844927215648251
m: 10000000000000000000000000000000
deg: 5
c5: 335
c0: 7
skew: 0.46
# Murphy_E = 7.358e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1424103 hash collisions in 13666802 relations (13077593 unique)
Msieve: matrix is 374986 x 375212 (127.0 MB)

Sieving start time : 2022/11/27 09:23:29
Sieving end time  : 2022/11/27 10:37:52

Total sieving time: 1hrs 14min 23secs.

Total relation processing time: 0hrs 14min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 34sec.

Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

81531743097623117873400147772734327788964686322640144966347645210019116544734100749656301473549906088284309111384275503403886722752872040857<140>

14865808490716391115104296143335929535546490732481<50>
5484514558931605096489534305332234552504592000346488854955199270124090208342146904648974297<91>

81531743097623117873400147772734327788964686322640144966347645210019116544734100749656301473549906088284309111384275503403886722752872040857=14865808490716391115104296143335929535546490732481*5484514558931605096489534305332234552504592000346488854955199270124090208342146904648974297

cado polynomial
n: 81531743097623117873400147772734327788964686322640144966347645210019116544734100749656301473549906088284309111384275503403886722752872040857
skew: 0.58
type: snfs
c0: 35
c5: 536
Y0: 50000000000000000000000000000000
Y1: -1
# f(x) = 536*x^5+35
# g(x) = -x+50000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3400000
tasks.lim1 = 3400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 14865808490716391115104296143335929535546490732481 5484514558931605096489534305332234552504592000346488854955199270124090208342146904648974297
Info:Square Root: Total cpu/real time for sqrt: 105.43/33.628
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.35/43.8132
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 43.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 66.47/55.7019
Info:Filtering - Merging: Merged matrix has 499291 rows and total weight 85270094 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 104.14/29.6226
Info:Filtering - Merging: Total cpu/real time for replay: 16.2/13.9538
Info:Generate Factor Base: Total cpu/real time for makefb: 1.48/0.899088
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11635418
Info:Lattice Sieving: Average J: 1892.96 for 353605 special-q, max bucket fill -bkmult 1.0,1s:1.261830
Info:Lattice Sieving: Total time: 40347.6s
Info:Linear Algebra: Total cpu/real time for bwc: 3775.96/1013.42
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2362.32, WCT time 631.11, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15744 iterations)
Info:Linear Algebra: Lingen CPU time 83.75, WCT time 21.97
Info:Linear Algebra: Mksol: CPU time 1282.73,  WCT time 340.14, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7808 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 60.58/17.4651
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 105.93/95.2718
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 83.7s
Info:Quadratic Characters: Total cpu/real time for characters: 16.27/6.54145
Info:Square Root: Total cpu/real time for sqrt: 105.43/33.628
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 77765.7/21642.8
Info:root: Cleaning up computation data in /tmp/cado.zw0h3vdg
14865808490716391115104296143335929535546490732481 5484514558931605096489534305332234552504592000346488854955199270124090208342146904648974297

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)

716627805810536839643884824546523424180616747047405522380497806881522178231677628061342462518987018599385493545047790906253118003107368447672847932473<150>

21847954710784258489586392710445639340321831357<47>
32800681587682247014531867084327022184134310372309761328324599073888518410826073730730771127391228358189<104>

716627805810536839643884824546523424180616747047405522380497806881522178231677628061342462518987018599385493545047790906253118003107368447672847932473=21847954710784258489586392710445639340321831357*32800681587682247014531867084327022184134310372309761328324599073888518410826073730730771127391228358189

cado polynomial
n: 716627805810536839643884824546523424180616747047405522380497806881522178231677628061342462518987018599385493545047790906253118003107368447672847932473
skew: 0.29
type: snfs
c0: 7
c5: 3350
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 3350*x^5+7
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3700000
tasks.lim1 = 3700000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 32800681587682247014531867084327022184134310372309761328324599073888518410826073730730771127391228358189 21847954710784258489586392710445639340321831357
Info:Square Root: Total cpu/real time for sqrt: 149.94/28.3224
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.83/0.470348
Info:Generate Free Relations: Total cpu/real time for freerel: 48.78/6.38723
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11633817
Info:Lattice Sieving: Average J: 1893.96 for 402481 special-q, max bucket fill -bkmult 1.0,1s:1.161430
Info:Lattice Sieving: Total time: 48118.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 25.49/19.248
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 116.88/36.1124
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 33.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 72.69/29.5535
Info:Filtering - Merging: Merged matrix has 553649 rows and total weight 94857843 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 112.72/16.5007
Info:Filtering - Merging: Total cpu/real time for replay: 16.85/13.8511
Info:Linear Algebra: Total cpu/real time for bwc: 3130.3/823.43
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 511.02, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (17408 iterations)
Info:Linear Algebra: Lingen CPU time 52.61, WCT time 14.3
Info:Linear Algebra: Mksol: WCT time 280.62, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8704 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 23.73/5.79772
Info:Square Root: Total cpu/real time for sqrt: 149.94/28.3224
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 111866/25184.4
Info:root: Cleaning up computation data in /tmp/cado.pm61wyh2
32800681587682247014531867084327022184134310372309761328324599073888518410826073730730771127391228358189 21847954710784258489586392710445639340321831357

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)

52876189742942711193620752801896639706854742472739963975918185639102961603691431601481465253279024693201271128088966826549006117198708086650189354009987683<155>

6655908157464585169748733249778819316539994743762143639307447021<64>
7944248702356595793049531392317168938676125112347059173237215509105620399114967875654062223<91>

Number: n
N=52876189742942711193620752801896639706854742472739963975918185639102961603691431601481465253279024693201271128088966826549006117198708086650189354009987683  ( 155 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sat Dec  3 08:38:20 2022  p64 factor: 6655908157464585169748733249778819316539994743762143639307447021
Sat Dec  3 08:38:20 2022  p91 factor: 7944248702356595793049531392317168938676125112347059173237215509105620399114967875654062223
Sat Dec  3 08:38:20 2022  elapsed time 00:09:53 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.310).
Factorization parameters were as follows:
#
# N = 67x10^164+14 = 74(163)6
#
n: 52876189742942711193620752801896639706854742472739963975918185639102961603691431601481465253279024693201271128088966826549006117198708086650189354009987683
m: 500000000000000000000000000000000
deg: 5
c5: 536
c0: 35
skew: 0.58
# Murphy_E = 2.574e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1800704 hash collisions in 13670711 relations (12605861 unique)
Msieve: matrix is 616070 x 616295 (211.5 MB)

Sieving start time : 2022/12/03 07:39:20
Sieving end time  : 2022/12/03 08:28:08

Total sieving time: 0hrs 48min 48secs.

Total relation processing time: 0hrs 5min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 17sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

159475565113052921342143785422476941235409079685616327714141491491907399225915343353083223941225238775493364049469697854497316428799804218909686854289<150>

923059978900869126664538826712193657340546189334003461048774690907900769<72>
172768366908234898610525178971993415251201753098334696785714749993566123468081<78>

159475565113052921342143785422476941235409079685616327714141491491907399225915343353083223941225238775493364049469697854497316428799804218909686854289=923059978900869126664538826712193657340546189334003461048774690907900769*172768366908234898610525178971993415251201753098334696785714749993566123468081

cado polynomial
n: 159475565113052921342143785422476941235409079685616327714141491491907399225915343353083223941225238775493364049469697854497316428799804218909686854289
skew: 0.29
type: snfs
c0: 7
c5: 3350
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 3350*x^5+7
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4500000
tasks.lim1 = 4500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 923059978900869126664538826712193657340546189334003461048774690907900769 172768366908234898610525178971993415251201753098334696785714749993566123468081
Info:Square Root: Total cpu/real time for sqrt: 232.5/73.1949
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.69/45.6152
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 45.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 84.93/87.6254
Info:Filtering - Merging: Merged matrix has 848883 rows and total weight 144853256 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 192.6/54.5855
Info:Filtering - Merging: Total cpu/real time for replay: 30.91/26.454
Info:Generate Factor Base: Total cpu/real time for makefb: 1.96/1.18237
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11882339
Info:Lattice Sieving: Average J: 1894.01 for 515875 special-q, max bucket fill -bkmult 1.0,1s:1.255990
Info:Lattice Sieving: Total time: 64014.6s
Info:Linear Algebra: Total cpu/real time for bwc: 11373.9/3061.68
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7177.0, WCT time 1922.26, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26624 iterations)
Info:Linear Algebra: Lingen CPU time 154.67, WCT time 40.39
Info:Linear Algebra: Mksol: CPU time 3904.97,  WCT time 1046.78, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.7/17.7382
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 145.85/149.913
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 124.9s
Info:Quadratic Characters: Total cpu/real time for characters: 30.53/12.2398
Info:Square Root: Total cpu/real time for sqrt: 232.5/73.1949
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 128602/35547.9
Info:root: Cleaning up computation data in /tmp/cado.jkfhoji6
923059978900869126664538826712193657340546189334003461048774690907900769 172768366908234898610525178971993415251201753098334696785714749993566123468081

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)

13808009873876459242003558192653771475480444423824534279871054410728031099290360616114474212819390641409<104>

1330237061589173129486646679036991162110063<43>
10380112141350703269318721048246948643642469144849541636204943<62>

Number: 1
N=13808009873876459242003558192653771475480444423824534279871054410728031099290360616114474212819390641409
  ( 104 digits)
Divisors found:
 r1=1330237061589173129486646679036991162110063 (pp43)
 r2=10380112141350703269318721048246948643642469144849541636204943 (pp62)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.73 hours.
Scaled time: 37.34 units (timescale=7.899).
Factorization parameters were as follows:
name: 1
n: 13808009873876459242003558192653771475480444423824534279871054410728031099290360616114474212819390641409
skew: 15654.95
# norm 4.66e+014
c5: 9660
c4: -1609280308
c3: 4902284035625
c2: 467016987122543199
c1: 1994277299714421565841
c0: -49920931528491797855565
# alpha -5.89
Y1: 52139857187
Y0: -67770692872754657272
# Murphy_E 2.04e-009
# M 10531756098422530173120331777220324288049497969102428196307035472651739684049907379883080407868190034179
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 295415 x 295640
Total sieving time: 4.66 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 4.73 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

30503953534334513194254480324299920951613906070591460210916106656413823160142287192918633582785458688499196021833013139856422179699054714181691836684025098681<158>

169438421118500302875676310321643655393050015495591146435432104421539<69>
180029731940201068284942506506371295111858118939967592398739809478061568263730632501908979<90>

Number: n
N=30503953534334513194254480324299920951613906070591460210916106656413823160142287192918633582785458688499196021833013139856422179699054714181691836684025098681  ( 158 digits)
SNFS difficulty: 171 digits.
Divisors found:

Fri Dec  2 06:50:24 2022  p69 factor: 169438421118500302875676310321643655393050015495591146435432104421539
Fri Dec  2 06:50:24 2022  p90 factor: 180029731940201068284942506506371295111858118939967592398739809478061568263730632501908979
Fri Dec  2 06:50:24 2022  elapsed time 00:14:16 (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 = 67x10^169+14 = 74(168)6
#
n: 30503953534334513194254480324299920951613906070591460210916106656413823160142287192918633582785458688499196021833013139856422179699054714181691836684025098681
m: 5000000000000000000000000000000000
deg: 5
c5: 536
c0: 35
skew: 0.58
# Murphy_E = 1.635e-10
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1746028 hash collisions in 13238256 relations (12198327 unique)
Msieve: matrix is 823895 x 824120 (285.2 MB)

Sieving start time : 2022/12/02 05:28:24
Sieving end time  : 2022/12/02 06:35:50

Total sieving time: 1hrs 7min 26secs.

Total relation processing time: 0hrs 10min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 58sec.

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

208463727849756523681368746244407837972762838634719795274209143457697631974612057239169073351006639380532202188194109117987592704897664494163555386625421726722499<162>

12121144730785489697546252076042073687964707098518389<53>
17198353165464380562275037117811400137092665619077369731357389427326704173176500021096780355048044274094491991<110>

Number: n
N=208463727849756523681368746244407837972762838634719795274209143457697631974612057239169073351006639380532202188194109117987592704897664494163555386625421726722499  ( 162 digits)
SNFS difficulty: 173 digits.
Divisors found:

Tue Nov 29 13:11:46 2022  p53 factor: 12121144730785489697546252076042073687964707098518389
Tue Nov 29 13:11:46 2022  p110 factor: 17198353165464380562275037117811400137092665619077369731357389427326704173176500021096780355048044274094491991
Tue Nov 29 13:11:46 2022  elapsed time 00:17:15 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 67x10^172+14 = 74(171)6
#
n: 208463727849756523681368746244407837972762838634719795274209143457697631974612057239169073351006639380532202188194109117987592704897664494163555386625421726722499
m: 10000000000000000000000000000000000
deg: 5
c5: 3350
c0: 7
skew: 0.29
# Murphy_E = 1.315e-10
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1992870 hash collisions in 14243385 relations (12986184 unique)
Msieve: matrix is 848479 x 848704 (292.2 MB)

Sieving start time : 2022/11/29 11:29:44
Sieving end time  : 2022/11/29 12:54:11

Total sieving time: 1hrs 24min 27secs.

Total relation processing time: 0hrs 10min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 4sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

306495002571788449497361965431684091574026177567295854876686804249672255026064338983855269291741405711926001600402561257887664808443<132>

703939334193312163933626176638781554594207<42>
435399739273015796162853204698585230983003088388829889494484661388001516313983197478758949<90>

306495002571788449497361965431684091574026177567295854876686804249672255026064338983855269291741405711926001600402561257887664808443=703939334193312163933626176638781554594207*435399739273015796162853204698585230983003088388829889494484661388001516313983197478758949

cado polynomial
n: 306495002571788449497361965431684091574026177567295854876686804249672255026064338983855269291741405711926001600402561257887664808443
skew: 0.18
type: snfs
c0: 7
c5: 33500
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 33500*x^5+7
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5700000
tasks.lim1 = 5700000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 703939334193312163933626176638781554594207 435399739273015796162853204698585230983003088388829889494484661388001516313983197478758949
Info:Square Root: Total cpu/real time for sqrt: 274.58/87.3188
Info:Generate Free Relations: Total cpu/real time for freerel: 60.63/17.8594
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.75/49.2739
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 146.16/142.872
Info:Filtering - Merging: Merged matrix has 983891 rows and total weight 167425797 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 229.58/64.6277
Info:Filtering - Merging: Total cpu/real time for replay: 34.86/30.2309
Info:Generate Factor Base: Total cpu/real time for makefb: 2.48/1.4037
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12650614
Info:Lattice Sieving: Average J: 1895.98 for 742145 special-q, max bucket fill -bkmult 1.0,1s:1.232400
Info:Lattice Sieving: Total time: 101391s
Info:Linear Algebra: Total cpu/real time for bwc: 14901.2/3996.07
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9433.69, WCT time 2512.94, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (30976 iterations)
Info:Linear Algebra: Lingen CPU time 184.08, WCT time 48.24
Info:Linear Algebra: Mksol: CPU time 5123.1,  WCT time 1373.95, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15616 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 33.43/13.4888
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 201.3/212.262
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 165.50000000000003s
Info:Square Root: Total cpu/real time for sqrt: 274.58/87.3188
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 200826/55212
Info:root: Cleaning up computation data in /tmp/cado.i9e6682o
703939334193312163933626176638781554594207 435399739273015796162853204698585230983003088388829889494484661388001516313983197478758949

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)

6816732702426406383992355377467133670620411153402283450591507720924071306298698176555620167799933227867821582900014443441<121>

5728509191944765955102507944065288239<37>
1189966267665567016209318907100657954926336486915824147106336402773642157161267737119<85>

Number: 1
N=6816732702426406383992355377467133670620411153402283450591507720924071306298698176555620167799933227867821582900014443441
  ( 121 digits)
Divisors found:
 r1=5728509191944765955102507944065288239 (pp37)
 r2=1189966267665567016209318907100657954926336486915824147106336402773642157161267737119 (pp85)
Version: Msieve v. 1.52 (SVN 927)
Total time: 33.53 hours.
Scaled time: 261.16 units (timescale=7.788).
Factorization parameters were as follows:
name: 1
n: 6816732702426406383992355377467133670620411153402283450591507720924071306298698176555620167799933227867821582900014443441
skew: 114310.14
# norm 9.97e+016
c5: 20580
c4: 12703626617
c3: -1203656224333842
c2: 10043023994898224552
c1: 6018936431330144333494542
c0: -106519284450890202204172144129
# alpha -6.46
Y1: 12850530947659
Y0: -201382977455625853752138
# Murphy_E 2.41e-010
# M 4593010713098995201318986629199499192605217533138608776982093273345830993278767729355712752220821943541390487371635497404
type: gnfs
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2200000, 4500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 791230 x 791457
Total sieving time: 33.31 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:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4400000,4400000,27,27,53,53,2.5,2.5,100000
total time: 33.53 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

420404271207444999222275554544532072774551574495439161013575112355084978632559666823290934594633901255058218486131340671958804688811981809759450975820381286367<159>

1230563716060944478275493267954046329892454453669390054297251787151477399<73>
341635516893969755959222595363375991733144020549899940096620300783997407047733273187833<87>

Number: n
N=420404271207444999222275554544532072774551574495439161013575112355084978632559666823290934594633901255058218486131340671958804688811981809759450975820381286367  ( 159 digits)
SNFS difficulty: 176 digits.
Divisors found:

Fri Dec  2 20:26:59 2022  p73 factor: 1230563716060944478275493267954046329892454453669390054297251787151477399
Fri Dec  2 20:26:59 2022  p87 factor: 341635516893969755959222595363375991733144020549899940096620300783997407047733273187833
Fri Dec  2 20:26:59 2022  elapsed time 00:17:04 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 67x10^175+14 = 74(174)6
#
n: 420404271207444999222275554544532072774551574495439161013575112355084978632559666823290934594633901255058218486131340671958804688811981809759450975820381286367
m: 100000000000000000000000000000000000
deg: 5
c5: 67
c0: 14
skew: 0.73
# Murphy_E = 1.247e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1760649 hash collisions in 13446192 relations (12408968 unique)
Msieve: matrix is 891167 x 891392 (309.0 MB)

Sieving start time : 2022/12/02 18:50:36
Sieving end time  : 2022/12/02 20:09:32

Total sieving time: 1hrs 18min 56secs.

Total relation processing time: 0hrs 11min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 58sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

351775994768479108479253129778990210084597977927887197066637958203153808778473519999043010073315786845865198930838455404222143078541969806052886174199082597671<159>

293048651615093648917403318519496457001<39>
1200401342335883561724791879285112650812456792064124182648780052494420805302765894395961343294350605836783359269809950671<121>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 351775994768479108479253129778990210084597977927887197066637958203153808778473519999043010073315786845865198930838455404222143078541969806052886174199082597671 (159 digits)
Using B1=25050000, B2=96190324246, polynomial Dickson(12), sigma=1:4193640223
Step 1 took 59721ms
Step 2 took 19482ms
********** Factor found in step 2: 293048651615093648917403318519496457001
Found prime factor of 39 digits: 293048651615093648917403318519496457001
Prime cofactor 1200401342335883561724791879285112650812456792064124182648780052494420805302765894395961343294350605836783359269809950671 has 121 digits

36578578853343818217905244460220052595429747454690557862704615913750479772639835057245752412325999805957286290993405399463225832555919878402865354049906208972120191846017<170>

70686709525616390922803532414820532625661383240833<50>
517474629938574037100505285786585863166080582036217506770694652755666366458778404323342648276486617874187684435389864449<120>

Number: n
N=36578578853343818217905244460220052595429747454690557862704615913750479772639835057245752412325999805957286290993405399463225832555919878402865354049906208972120191846017  ( 170 digits)
SNFS difficulty: 186 digits.
Divisors found:

Wed Dec  7 12:46:04 2022  p50 factor: 70686709525616390922803532414820532625661383240833
Wed Dec  7 12:46:04 2022  p120 factor: 517474629938574037100505285786585863166080582036217506770694652755666366458778404323342648276486617874187684435389864449
Wed Dec  7 12:46:04 2022  elapsed time 00:24:48 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 67x10^185+14 = 74(184)6
#
n: 36578578853343818217905244460220052595429747454690557862704615913750479772639835057245752412325999805957286290993405399463225832555919878402865354049906208972120191846017
m: 10000000000000000000000000000000000000
deg: 5
c5: 67
c0: 14
skew: 0.73
# Murphy_E = 4.906e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 17350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1703522 hash collisions in 13914939 relations (13000355 unique)
Msieve: matrix is 1107365 x 1107590 (385.4 MB)

Sieving start time : 2022/12/07 08:36:43
Sieving end time  : 2022/12/07 12:20:54

Total sieving time: 3hrs 44min 11secs.

Total relation processing time: 0hrs 19min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 12sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9100000,9100000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

54894507345299411745654684673429895341759227376659463997962550113667535429399301758197663168523867190224182792846251257885610750599983<134>

614390275865032206868637234059439118853881966611<48>
89347942996022460538836127142486338150092921084715350701259297029585619258516725873653<86>

54894507345299411745654684673429895341759227376659463997962550113667535429399301758197663168523867190224182792846251257885610750599983=614390275865032206868637234059439118853881966611*89347942996022460538836127142486338150092921084715350701259297029585619258516725873653

cado polynomial
n: 54894507345299411745654684673429895341759227376659463997962550113667535429399301758197663168523867190224182792846251257885610750599983
skew: 203107.429
c0: 41687088616932273287542469876400
c1: 1199702762727004293992204523
c2: -9402454909220748269504
c3: -48895502615035109
c4: 134965977630
c5: 210600
Y0: -76238676220243423861343146
Y1: 1441133675740847641
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.371e-07
# f(x) = 210600*x^5+134965977630*x^4-48895502615035109*x^3-9402454909220748269504*x^2+1199702762727004293992204523*x+41687088616932273287542469876400
# g(x) = 1441133675740847641*x-76238676220243423861343146

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 614390275865032206868637234059439118853881966611 89347942996022460538836127142486338150092921084715350701259297029585619258516725873653
Info:Square Root: Total cpu/real time for sqrt: 448.89/138.724
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6626.32
Info:Polynomial Selection (root optimized): Rootsieve time: 6623.73
Info:Generate Factor Base: Total cpu/real time for makefb: 14.58/4.1226
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54310/39.700/48.059/53.120/0.974
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44558/38.530/42.875/48.680/1.034
Info:Polynomial Selection (size optimized): Total time: 11418
Info:Quadratic Characters: Total cpu/real time for characters: 43.19/20.4331
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 202.84/183.884
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 169.8s
Info:Square Root: Total cpu/real time for sqrt: 448.89/138.724
Info:Generate Free Relations: Total cpu/real time for freerel: 250.25/64.2899
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 78.75/78.1492
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 78.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 95.68/94.7492
Info:Filtering - Merging: Merged matrix has 1276018 rows and total weight 217916081 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 329.87/92.0138
Info:Filtering - Merging: Total cpu/real time for replay: 46.44/45.0443
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17041523
Info:Lattice Sieving: Average J: 3805.67 for 584198 special-q, max bucket fill -bkmult 1.0,1s:1.163460
Info:Lattice Sieving: Total time: 199798s
Info:Linear Algebra: Total cpu/real time for bwc: 25371.8/6710.62
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 16110.71, WCT time 4235.25, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39936 iterations)
Info:Linear Algebra: Lingen CPU time 247.6, WCT time 64.01
Info:Linear Algebra: Mksol: CPU time 8795.68,  WCT time 2312.37, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (19968 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 415052/112746
Info:root: Cleaning up computation data in /tmp/cado.1nl0bwl1
614390275865032206868637234059439118853881966611 89347942996022460538836127142486338150092921084715350701259297029585619258516725873653

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)

42429430608757600155232657466962518048934410031421431805774634445761971314395675077972915835841319140504755322566877503889004964957768507760205331160247779<155>

181543516588591776849648302388475623451643002368887519697936637<63>
233714931857962435500368257264331459161251601557157804791022232248917812991123540576350646367<93>

Number: n
N=42429430608757600155232657466962518048934410031421431805774634445761971314395675077972915835841319140504755322566877503889004964957768507760205331160247779  ( 155 digits)
SNFS difficulty: 194 digits.
Divisors found:

Fri Dec 23 04:09:24 2022  p63 factor: 181543516588591776849648302388475623451643002368887519697936637
Fri Dec 23 04:09:24 2022  p93 factor: 233714931857962435500368257264331459161251601557157804791022232248917812991123540576350646367
Fri Dec 23 04:09:24 2022  elapsed time 00:55:10 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 67x10^193+14 = 74(192)6
#
n: 42429430608757600155232657466962518048934410031421431805774634445761971314395675077972915835841319140504755322566877503889004964957768507760205331160247779
m: 100000000000000000000000000000000
deg: 6
c6: 335
c0: 7
skew: 0.52
# Murphy_E = 2.016e-11
type: snfs
lss: 1
rlim: 12200000
alim: 12200000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 26100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1833044 hash collisions in 13712033 relations (12860305 unique)
Msieve: matrix is 1588208 x 1588433 (558.7 MB)

Sieving start time : 2022/12/22 20:27:59
Sieving end time  : 2022/12/23 03:13:52

Total sieving time: 6hrs 45min 53secs.

Total relation processing time: 0hrs 48min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 44sec.

Prototype def-par.txt line would be:
snfs,194,6,0,0,0,0,0,0,0,0,12200000,12200000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

425079706928635704010754773607384678330174434864403672681852602004689457703745729424095038245084488300704518200128596350226844383830862057108610532687236384967954064109067134839779<180>

33868858807535920861945454171544451236287<41>
12550753757137344614020569485285650627777071657039775751808990913326007983737924412631258812790255513306130178572393010651003907363096106717<140>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3377784325
Step 1 took 41200ms
Step 2 took 13928ms
********** Factor found in step 2: 33868858807535920861945454171544451236287
Found probable prime factor of 41 digits: 33868858807535920861945454171544451236287
Probable prime cofactor 12550753757137344614020569485285650627777071657039775751808990913326007983737924412631258812790255513306130178572393010651003907363096106717 has 140 digits

8791599263701329393886822668437017408961029046107639792834945513778373928066315527452103229202837278232609909603032705800607376898835432401036481139960004640383321863<166>

154933525484724630473995086559760508055613527115585756287340563777<66>
56744331068411142683658638288105365643920635364979925950115569353610293094539211255993218126826101319<101>

8791599263701329393886822668437017408961029046107639792834945513778373928066315527452103229202837278232609909603032705800607376898835432401036481139960004640383321863=154933525484724630473995086559760508055613527115585756287340563777*56744331068411142683658638288105365643920635364979925950115569353610293094539211255993218126826101319

cado polynomial
n: 8791599263701329393886822668437017408961029046107639792834945513778373928066315527452103229202837278232609909603032705800607376898835432401036481139960004640383321863
skew: 0.73
type: snfs
c0: 14
c5: 67
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 67*x^5+14
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16200000
tasks.lim1 = 16200000
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 = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 154933525484724630473995086559760508055613527115585756287340563777 56744331068411142683658638288105365643920635364979925950115569353610293094539211255993218126826101319
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 3116.97/170.883
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Merging: Merged matrix has 2669925 rows and total weight 453982190 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 583.47/34.7634
Info:Filtering - Merging: Total cpu/real time for replay: 49.95/43.5245
Info:Linear Algebra: Total cpu/real time for bwc: 97040.5/11930.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 63418.3, WCT time 7877.59, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (83456 iterations)
Info:Linear Algebra: Lingen CPU time 496.02, WCT time 31.84
Info:Linear Algebra: Mksol: CPU time 32136.13,  WCT time 4020.45, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (41984 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 166.43/123.971
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 123.9s
Info:Quadratic Characters: Total cpu/real time for characters: 76.51/14.4378
Info:Filtering - Singleton removal: Total cpu/real time for purge: 174.43/89.537
Info:Generate Free Relations: Total cpu/real time for freerel: 134.65/12.2453
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43282901
Info:Lattice Sieving: Average J: 3790.27 for 1558195 special-q, max bucket fill -bkmult 1.0,1s:1.136520
Info:Lattice Sieving: Total time: 566645s
Info:Square Root: Total cpu/real time for sqrt: 3116.97/170.883
Info:Generate Factor Base: Total cpu/real time for makefb: 2.35/0.384147
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 390.17/206.482
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 183.1s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.18001e+06/60345.2
154933525484724630473995086559760508055613527115585756287340563777 56744331068411142683658638288105365643920635364979925950115569353610293094539211255993218126826101319

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)

69564118537826702043191188699145209497327532184775586703592887487335421919217767234847908300183001042039012428355858224593286012449448268822482012555335450946420047886627221847233139<182>

21056459408083516159830899288511195351996347<44>
3303694946507542030354153191627961698979728010628945842873092808315447872812273051553333622992623722852082511273179331498804176230966048937<139>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 69564118537826702043191188699145209497327532184775586703592887487335421919217767234847908300183001042039012428355858224593286012449448268822482012555335450946420047886627221847233139 (182 digits)
Using B1=46870000, B2=240494804566, polynomial Dickson(12), sigma=1:1083255785
Step 1 took 128359ms
Step 2 took 38840ms
********** Factor found in step 2: 21056459408083516159830899288511195351996347
Found prime factor of 44 digits: 21056459408083516159830899288511195351996347
Prime cofactor 3303694946507542030354153191627961698979728010628945842873092808315447872812273051553333622992623722852082511273179331498804176230966048937 has 139 digits

126383450832647046706044266530013523396812233195168955924656807599541946559011645741675022173953750040625623110004033130330231107<129>

167587789058763220307359825289171724479177477<45>
754132813270373619278599423055431233131898614257794273535968167176161667249786529191<84>

Number: 1
N=126383450832647046706044266530013523396812233195168955924656807599541946559011645741675022173953750040625623110004033130330231107
  ( 129 digits)
Divisors found:
 r1=167587789058763220307359825289171724479177477 (pp45)
 r2=754132813270373619278599423055431233131898614257794273535968167176161667249786529191 (pp84)
Version: Msieve v. 1.52 (SVN 927)
Total time: 84.82 hours.
Scaled time: 659.07 units (timescale=7.770).
Factorization parameters were as follows:
name: 1
n: 126383450832647046706044266530013523396812233195168955924656807599541946559011645741675022173953750040625623110004033130330231107
skew: 180094.84
# norm 7.49e+017
c5: 53040
c4: 91796603382
c3: -4683759427405197
c2: -2260040182427894393224
c1: 100860245005706491745060442
c0: 8625172807999824993568000480222
# alpha -6.20
Y1: 160996899582437
Y0: -4736005834009472402226099
# Murphy_E 8.87e-011
# M 5305609894482067960149253095936116238941372898142673385967945114443416787258523249600087209632442975836771530853205528653706640
type: gnfs
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [3400000, 8600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1495412 x 1495653
Total sieving time: 84.32 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.40 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,128,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6800000,6800000,28,28,55,55,2.5,2.5,100000
total time: 84.82 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

6026031639052168484376627802898759096220641399485511958754343670316094487421012952190383317866861639816673132380528547093404535032393627973736557872079<151>

372799142340362734718660089877898203746016060678743183431488613025641275477145846661497389657383888651718825861796385219978110939499024648682715131236879293403769259317633<171>

8538299884855582547952261688833071577585845645211239755714931431481575755151785105412795937933193066292078637800279983599616875623522772563694486057<148>

12969185701229097569703587677903406424689895745811588699834734089341627744215583676305859133317117945440880779711306208096636642854332866702723386582003677756435380779975094233<176>

202250875045740905868970238185798511<36>
64124250133879501289729911999834367843020908222520128019001346738685851688381219898738761304330232510472014313033894625654075337554495931703<140>

GPU: factor 202250875045740905868970238185798511 found in Step 1 with curve 148 (-sigma 3:1570589642)
GPU: factor 202250875045740905868970238185798511 found in Step 1 with curve 1506 (-sigma 3:1570591000)
Computing 1792 Step 1 took 172ms of CPU time / 178175ms of GPU time
Throughput: 10.058 curves per second (on average 99.43ms per Step 1)
********** Factor found in step 1: 202250875045740905868970238185798511
Found prime factor of 36 digits: 202250875045740905868970238185798511
Prime cofactor 64124250133879501289729911999834367843020908222520128019001346738685851688381219898738761304330232510472014313033894625654075337554495931703 has 140 digits
Peak memory usage: 9428MB

211173827913169299198472111649573938119030452213705466330861502444880861832296805438085091235955934803420548336496523242538021353943486273<138>

339495280202312196895558893814219646641<39>
622022868145107897302014845585717149607799909339873873945155412587341142181349065994138167977342353<99>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1554000791
Step 1 took 20875ms
Step 2 took 9031ms
********** Factor found in step 2: 339495280202312196895558893814219646641
Found prime factor of 39 digits: 339495280202312196895558893814219646641
Prime cofactor 622022868145107897302014845585717149607799909339873873945155412587341142181349065994138167977342353 has 99 digits
 

GMP-ECM

4511274400737951293068228239506532768350898638679449559266754932633540047751980739415833199084403391353984467441354058242845105490148799908208786382749273071019972388951280549132479682610713<190>

8646965309839547539522548854736880573074349973813949451616149395785179098847054736552719353592261312174389446098061892082999025332752398863130545435737725010904337<163>

903084740485392037777111637337944810021223575633068160854372259105902802120797726991597297799667749759793511504125558839057333901897067483713720368030670373451193979106632291276149989167<186>

570401233396865612532203465685478006957131448293686355278292820544252425271744482231681813154952773458161610492221118541785829497714886582607061631503974277<156>

391410848182613750350163521544451199<36>

1457295412340598776446274560988802697902242892861684582428005235105047770897249916449520651668593027284494392939939363323<121>

Resuming ECM residue saved by @de665891dffc with GMP-ECM 7.0.5-dev on Tue Dec 13 19:26:50 2022 
Input number is 570401233396865612532203465685478006957131448293686355278292820544252425271744482231681813154952773458161610492221118541785829497714886582607061631503974277 (156 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3784811316
Step 1 took 0ms
Step 2 took 2749ms
********** Factor found in step 2: 391410848182613750350163521544451199
Found prime factor of 36 digits: 391410848182613750350163521544451199
Composite cofactor 1457295412340598776446274560988802697902242892861684582428005235105047770897249916449520651668593027284494392939939363323 has 121 digits

1457295412340598776446274560988802697902242892861684582428005235105047770897249916449520651668593027284494392939939363323<121>

2880402488314738376240559722696877382892725930454069<52>
505934645679753949574142253953221397983323506626455528912888578880367<69>

1457295412340598776446274560988802697902242892861684582428005235105047770897249916449520651668593027284494392939939363323=2880402488314738376240559722696877382892725930454069*505934645679753949574142253953221397983323506626455528912888578880367

cado polynomial
n: 1457295412340598776446274560988802697902242892861684582428005235105047770897249916449520651668593027284494392939939363323
skew: 47438.765
c0: 35400743599895015895873991776
c1: -1661813980233030362270240
c2: 9603781973409341379
c3: 2551827013362041
c4: -1102633434
c5: -246960
Y0: -190018261290442861461577
Y1: 52225693012692697
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.507e-06
# f(x) = -246960*x^5-1102633434*x^4+2551827013362041*x^3+9603781973409341379*x^2-1661813980233030362270240*x+35400743599895015895873991776
# g(x) = 52225693012692697*x-190018261290442861461577

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: 2880402488314738376240559722696877382892725930454069 505934645679753949574142253953221397983323506626455528912888578880367
Info:Square Root: Total cpu/real time for sqrt: 171.6/53.5734
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): 19931/35.550/42.963/54.720/1.060
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15951/34.340/38.039/43.410/0.865
Info:Polynomial Selection (size optimized): Total time: 2251.43
Info:Linear Algebra: Total cpu/real time for bwc: 3726.19/1005.05
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2254.95, WCT time 604.9, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (19712 iterations)
Info:Linear Algebra: Lingen CPU time 109.7, WCT time 28.53
Info:Linear Algebra: Mksol: CPU time 1299.1,  WCT time 349.21, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9984 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 18.93/7.49359
Info:Generate Free Relations: Total cpu/real time for freerel: 126.59/34.155
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 145.91/143.176
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 136.39999999999998s
Info:Square Root: Total cpu/real time for sqrt: 171.6/53.5734
Info:Filtering - Singleton removal: Total cpu/real time for purge: 55.4/49.588
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 58.18/57.4852
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.3s
Info:Filtering - Merging: Merged matrix has 628019 rows and total weight 63725008 (101.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 45.81/14.8476
Info:Filtering - Merging: Total cpu/real time for replay: 14.87/12.0957
Info:Generate Factor Base: Total cpu/real time for makefb: 5.11/1.50799
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13425919
Info:Lattice Sieving: Average J: 1907.48 for 231397 special-q, max bucket fill -bkmult 1.0,1s:1.257440
Info:Lattice Sieving: Total time: 29173.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2036.32
Info:Polynomial Selection (root optimized): Rootsieve time: 2033.85
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 62116.3/17374.3
Info:root: Cleaning up computation data in /tmp/cado.iv60lzcc
2880402488314738376240559722696877382892725930454069 505934645679753949574142253953221397983323506626455528912888578880367

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)

65010739010992204999478518370942309794516298664018703847884160686872290948580935845745520976373038427290831732990585526017760289508081353561915279867501108145292828569963506720449<179>

5124689779953190193451045135979992479328044844793416070521954988529102157266592945585093187085393236207297433354410389112671279978140352194615927908417339866928195980519597090457102731682674229862977731259<205>

1707085837776517966825988186580704440024169<43>
3002010599905220247001896030307406883848521019144124772506260923569891142506536607767692593163024912628614744452284823109358224816312854825251597372819775365556611<163>

Resuming ECM residue saved by @de665891dffc with GMP-ECM 7.0.5-dev on Tue Dec 13 19:35:37 2022 
Input number is 5124689779953190193451045135979992479328044844793416070521954988529102157266592945585093187085393236207297433354410389112671279978140352194615927908417339866928195980519597090457102731682674229862977731259 (205 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1096843144
Step 1 took 0ms
Step 2 took 200ms
********** Factor found in step 2: 1707085837776517966825988186580704440024169
Found prime factor of 43 digits: 1707085837776517966825988186580704440024169
Prime cofactor 3002010599905220247001896030307406883848521019144124772506260923569891142506536607767692593163024912628614744452284823109358224816312854825251597372819775365556611 has 163 digits

2198533943879673037201229959145787082112149389383047384889490374975225486931855906112719784797845806385081243649691068621109984372628728015174734822380681283376817923915938510763427830733347169624824098739033<208>

154822135127838155113970838767173<33>
14200385119765477989194034931746405486833635467486562159012554916050330782016300474610003990601247295169319856856100944212857625415361888246778141599112190433819326744000930821<176>

GPU: factor 154822135127838155113970838767173 found in Step 1 with curve 1300 (-sigma 3:-845490223)
Computing 1792 Step 1 took 168ms of CPU time / 175222ms of GPU time
Throughput: 10.227 curves per second (on average 97.78ms per Step 1)
********** Factor found in step 1: 154822135127838155113970838767173
Found prime factor of 33 digits: 154822135127838155113970838767173
Prime cofactor 14200385119765477989194034931746405486833635467486562159012554916050330782016300474610003990601247295169319856856100944212857625415361888246778141599112190433819326744000930821 has 176 digits
Peak memory usage: 9428MB

1607828847868307869273877577931421136083067589187657358449394862739280282660994175623741761862011469683113797085615261270361306160028241797369604817478024583055444423509126122112863133140709330202796958337<205>

4274480159962439546532739066852768849084758694080906738569409873262904338503012481573526743489858447783360901001818169664517229011933970949452945034458414436109534108211381696833<178>

1432035700751993130598196497009387288121131217666799785862793465224490399350397618139737860604231181429159842915382661620880572686746690661635096096442296635466776521345255152153440520126347318395215939961451<208>

57251619083662339300677240667909745275579<41>

25013016639046410995098849515419141938691133170537940939379998892304040856022703029275893459781558818952469963832837156350137470348927790985974298262556492078696983569<167>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:923026039
Step 1 took 35895ms
Step 2 took 16963ms
********** Factor found in step 2: 57251619083662339300677240667909745275579
Found prime factor of 41 digits: 57251619083662339300677240667909745275579
Composite cofactor 25013016639046410995098849515419141938691133170537940939379998892304040856022703029275893459781558818952469963832837156350137470348927790985974298262556492078696983569 has 167 digits

19600030657958402299112849955622020137130005540665383010927455898468330738523304436452312540333645178597234581943047576587851140399992745063278845248104208974941799610456704117352111917930283568562955005935591373880238547<221>

10817530787344527064011169232856784915497700465978615430780850061084426392484819976005482703290807349594067769777698696143814400419890209897480091548022754495499750400162519138045840016669577219221495772303907<209>

688599299535876191399091129013599625894034907448108683866687380853396677058391654667342516754550248915720751631325298602904293228564744705728844898073685325326648110080785368657289121079720444109<195>

1587007658957859036989978627178484478085812057139543177272107834434037966902780937489471968947246611555512123085615036367645241135408891732848220678508595315691931739700322564128185511153781962017<196>

7305165557731839561939515463754528063<37>

217244584864768569292099687065829108047106062231338243900369759316639840704459431200495576263434615913937942826908995071421129493014361346085110912999124000159<159>

GPU: factor 7305165557731839561939515463754528063 found in Step 1 with curve 691 (-sigma 3:-525910439)
Computing 1792 Step 1 took 158ms of CPU time / 175235ms of GPU time
Throughput: 10.226 curves per second (on average 97.79ms per Step 1)
********** Factor found in step 1: 7305165557731839561939515463754528063
Found prime factor of 37 digits: 7305165557731839561939515463754528063
Composite cofactor 217244584864768569292099687065829108047106062231338243900369759316639840704459431200495576263434615913937942826908995071421129493014361346085110912999124000159 has 159 digits
Peak memory usage: 9428MB

733190209534535971476011105373226110601155708982542113318386815201909715233011731587431228676004340645779371025642086747756014513724486311537143425730463635433193038592818024327005134093142065506721266964169639<210>

36801523085451834981516711494131618876726021173854592320169599819120852369792908633358304133877636452045659098659673282612175307071073122793837555082838231665913347092375106883090138511084757783063089<200>

1979180332066952136726801381457168609362550218873863941614709735341535010621727690291263758642607460327040541791918873886563613168671049272717915489675980909803519888909078723745509433904190998945133525159<205>

929832477334298479256257166417360890225892312881094591439426779924272001031636815404804223059007770447932459137078986344104222295705829615518113413916927045055950887772108357703385157659479949<192>

163915796292335314329241205459909876678877824898035673304577596033623527279786951801318039153296959455878458627206033895361193946851874139632723746361575859010619082897772372233207168835798786516954318051465152053<213>

3242328409520451837476259807187447610977253249526969884986583187438315494425066031008541217048394371846296817549535900885044525824868828488383811369433061712675857769<166>

2727807265174671262814057822302542515543<40>

1188620783775511333337238571770683902459665314610219525402789870635154956313637375938270943288767886347454657169095651535153983<127>

Resuming ECM residue saved by @de665891dffc with GMP-ECM 7.0.5-dev on Tue Dec 13 19:56:18 2022 
Input number is 3242328409520451837476259807187447610977253249526969884986583187438315494425066031008541217048394371846296817549535900885044525824868828488383811369433061712675857769 (166 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2410971599
Step 1 took 0ms
Step 2 took 2699ms
********** Factor found in step 2: 2727807265174671262814057822302542515543
Found prime factor of 40 digits: 2727807265174671262814057822302542515543
Composite cofactor 1188620783775511333337238571770683902459665314610219525402789870635154956313637375938270943288767886347454657169095651535153983 has 127 digits

1188620783775511333337238571770683902459665314610219525402789870635154956313637375938270943288767886347454657169095651535153983<127>

9745342965450201432239025567946475901787159650570856585221487<61>
121968081368658237716277502329209594944170067328163478724443733809<66>

1188620783775511333337238571770683902459665314610219525402789870635154956313637375938270943288767886347454657169095651535153983=9745342965450201432239025567946475901787159650570856585221487*121968081368658237716277502329209594944170067328163478724443733809

cado polynomial
n: 1188620783775511333337238571770683902459665314610219525402789870635154956313637375938270943288767886347454657169095651535153983
skew: 48063.361
c0: -9774947434669041662717747496
c1: -233531687787912420615326
c2: 2536709955245207349
c3: 1337916495506463
c4: 1861517644
c5: -75600
Y0: -2941473360903356430461147
Y1: 47583844150553147
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.237e-07
# f(x) = -75600*x^5+1861517644*x^4+1337916495506463*x^3+2536709955245207349*x^2-233531687787912420615326*x-9774947434669041662717747496
# g(x) = 47583844150553147*x-2941473360903356430461147

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

cado log (extracts)
Info:Square Root: Factors: 121968081368658237716277502329209594944170067328163478724443733809 9745342965450201432239025567946475901787159650570856585221487
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 607.65/179.199
Info:HTTP server: Got notification to stop serving Workunits
Info:Square Root: Total cpu/real time for sqrt: 607.65/179.199
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.59/50.1236
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.300000000000004s
Info:Quadratic Characters: Total cpu/real time for characters: 30.73/13.4552
Info:Filtering - Singleton removal: Total cpu/real time for purge: 142.05/136.095
Info:Filtering - Merging: Merged matrix has 817099 rows and total weight 139498500 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 188.43/54.1601
Info:Filtering - Merging: Total cpu/real time for replay: 30.25/27.7745
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12227464
Info:Lattice Sieving: Average J: 3780.41 for 251757 special-q, max bucket fill -bkmult 1.0,1s:1.239490
Info:Lattice Sieving: Total time: 73332.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 219.74/249.733
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 191.3s
Info:Linear Algebra: Total cpu/real time for bwc: 11067.7/3106.22
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6995.77, WCT time 1890.47, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25600 iterations)
Info:Linear Algebra: Lingen CPU time 109.84, WCT time 112.23
Info:Linear Algebra: Mksol: CPU time 3813.71,  WCT time 1048.14, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2625.7
Info:Polynomial Selection (root optimized): Rootsieve time: 2623.22
Info:Generate Factor Base: Total cpu/real time for makefb: 8.1/2.24712
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21547.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 14768/38.960/44.928/48.860/0.867
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11666/36.870/40.226/45.700/0.927
Info:Polynomial Selection (size optimized): Total time: 1797.2
Info:Generate Free Relations: Total cpu/real time for freerel: 124.88/33.0867
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 150383/41717.6
Info:root: Cleaning up computation data in /tmp/cado.2v7phwal
121968081368658237716277502329209594944170067328163478724443733809 9745342965450201432239025567946475901787159650570856585221487

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)

5563559602390575317970692215214587309339534337560943988020196570361082694956212345536929513446002322539797386922450654476761945723078070530670233445961035478826791296052166958277635154195260775699972417845000511<211>

1576209319021167230281833786606253552755500229454022046015453220450000337919196722215577209395429280203969357855652583682323276436123342077482673151712191895143414880031749802337560097<184>

20342529996979378829446843396513145417891<41>

77483445729474916188875832607670824790984414433613673470112438374222739971064660306596680670991542237142569264714968966063884618413163557455467<143>

Resuming ECM residue saved by @6490c7531d04 with GMP-ECM 7.0.5-dev on Wed Feb  7 11:56:14 2024 
Input number is 1576209319021167230281833786606253552755500229454022046015453220450000337919196722215577209395429280203969357855652583682323276436123342077482673151712191895143414880031749802337560097 (184 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2228373895
Step 1 took 0ms
Step 2 took 8085ms
********** Factor found in step 2: 20342529996979378829446843396513145417891
Found prime factor of 41 digits: 20342529996979378829446843396513145417891
Composite cofactor 77483445729474916188875832607670824790984414433613673470112438374222739971064660306596680670991542237142569264714968966063884618413163557455467 has 143 digits

77483445729474916188875832607670824790984414433613673470112438374222739971064660306596680670991542237142569264714968966063884618413163557455467<143>

3993081509169499871602742810510663931478509272496931757309<58>
19404423764339910160420170506284013350341863078740432431499468626159575377534347805063<86>

CADO:

STA:Wed Feb 28 03:58:18 AM AEDT 2024 (77483445729474916188875832607670824790984414433613673470112438374222739971064660306596680670991542237142569264714968966063884618413163557455467 - C143)

/home/bob/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 77483445729474916188875832607670824790984414433613673470112438374222739971064660306596680670991542237142569264714968966063884618413163557455467 2>&1 | tee -a log-4

/home/bob/cado-nfs/cado-nfs.py:93: DeprecationWarning: Use setlocale(), getencoding() and getlocale() instead 
  loc = locale.getdefaultlocale()[1]
Debug:root: Looking for parameter file for c143 in directory /home/bob/cado-nfs/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/parameters/factor/params.c145
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/parameters/factor/params.c145
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.z73w35fr
Info:Database: Opened connection to database /tmp/cado.z73w35fr/c145.db
Info:root: Set tasks.threads=20 based on --server-threads 20
Info:root: tasks.threads = 20 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 20 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/cado-nfs/build/linux-8
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 77483445729474916188875832607670824790984414433613673470112438374222739971064660306596680670991542237142569264714968966063884618413163557455467
Debug:root: Root parameter dictionary:
N = 77483445729474916188875832607670824790984414433613673470112438374222739971064660306596680670991542237142569264714968966063884618413163557455467
name = c145
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 77483445729474916188875832607670824790984414433613673470112438374222739971064660306596680670991542237142569264714968966063884618413163557455467
skew: 648923.727
c0: 1465897550986374454413485417963456 
c1: -23710885475093261804716737968 
c2: -8844443848595048240811
c3: 31046406362772638
c4: 32030967310
c5: 36000
Y0: -6379923570237374009796410223
Y1: 127476366374787227783
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.976e-07
# f(x) = 36000*x^5+32030967310*x^4+31046406362772638*x^3-8844443848595048240811*x^2-23710885475093261804716737968*x+1465897550986374454413485417963456
# g(x) = 127476366374787227783*x-6379923570237374009796410223
===
Debug:Command: Process with PID 3295064 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 19404423764339910160420170506284013350341863078740432431499468626159575377534347805063 3993081509169499871602742810510663931478509272496931757309
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 5271.92/389.259
Info:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2795.3
Info:Polynomial Selection (root optimized): Rootsieve time: 2793.38
Info:Linear Algebra: Total cpu/real time for bwc: 194936/15319.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 126195.15, WCT time 9783.68, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (102400 iterations)
Info:Linear Algebra: Lingen CPU time 221.07, WCT time 111.1
Info:Linear Algebra: Mksol: CPU time 67087.99,  WCT time 5256.77, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (51200 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 199.05/138.73
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 137.60000000000002s
Info:Quadratic Characters: Total cpu/real time for characters: 90.78/23.659
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 81888.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56525/41.300/51.477/56.570/0.921
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 46494/42.030/45.863/52.340/0.951
Info:Polynomial Selection (size optimized): Total time: 34855.6
Info:Generate Free Relations: Total cpu/real time for freerel: 208.64/17.2479
Info:Lattice Sieving: Aggregate statistics: 
Info:Lattice Sieving: Total number of relations: 48222080
Info:Lattice Sieving: Average J: 3823.5 for 1006046 special-q, max bucket fill -bkmult 1.0,1s:1.154100
Info:Lattice Sieving: Total time: 1.1554e+06s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 764.3/548.982
Info:Generate Factor Base: Total cpu/real time for makefb: 4.95/0.878421
Info:Filtering - Merging: Total cpu/real time for merge: 745.56/67.8625
Info:Filtering - Merging: Total cpu/real time for replay: 82.72/71.5884
Info:Square Root: Total cpu/real time for sqrt: 5271.92/389.259
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1004.69/821.696
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 523.9s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 2.00899e+06/134632
Info:root: Cleaning up computation data in /tmp/cado.z73w35fr
19404423764339910160420170506284013350341863078740432431499468626159575377534347805063 3993081509169499871602742810510663931478509272496931757309

END:Thu Feb 29 05:22:13 PM AEDT 2024 (77483445729474916188875832607670824790984414433613673470112438374222739971064660306596680670991542237142569264714968966063884618413163557455467 - C143)

429768181759868632054291908812172061219515324122182452629283249304032123567973931673273550654915393398247572130495580443623394783768874520519827066415220208084773377464752594645216744281517402404136037665653183491770260041822217090661843<237>

4949964735302733703882496192656347254286542045013845855822230590585859749247865689343111071151761231994299592849705919817399579698873135155366800981788909343580989607075107528473281<181>

421271283023868536283075363899185843919<39>
11750064470979563218242069817885084972901177975401954039814712569621111996421848653229661529593630995924154879105574475500703389889346466578799<143>

GPU: factor 421271283023868536283075363899185843919 found in Step 1 with curve 156 (-sigma 3:-1586576335)
Computing 1792 Step 1 took 146ms of CPU time / 178348ms of GPU time
Throughput: 10.048 curves per second (on average 99.52ms per Step 1)
********** Factor found in step 1: 421271283023868536283075363899185843919
Found prime factor of 39 digits: 421271283023868536283075363899185843919
Prime cofactor 11750064470979563218242069817885084972901177975401954039814712569621111996421848653229661529593630995924154879105574475500703389889346466578799 has 143 digits
Peak memory usage: 9428MB

6199342881569335791073651072543350067727961469282974852733032847749085808635294220333166828107357553208868370468740004629988319577802012947031353843562061238250644121272531149508843163116439104670838963<202>

685567362315700222646792431011764185180710537553141570084571362526891532937835759717504360254475898366819294817117188283953362190126056325758945170670023461487447864635194327433509433279101337352108453337933190139487<216>

652293079280738723310082134376810783<36>
1051011246465548758535143369945678969299820922930474224649085527743063289225959441844091314877029876897708205989653005064745427851358004146790213144404095978874937082623055276970689<181>

Resuming ECM residue saved by @de665891dffc with GMP-ECM 7.0.5-dev on Tue Dec 13 22:54:47 2022 
Input number is 685567362315700222646792431011764185180710537553141570084571362526891532937835759717504360254475898366819294817117188283953362190126056325758945170670023461487447864635194327433509433279101337352108453337933190139487 (216 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3429770918
Step 1 took 0ms
Step 2 took 6376ms
********** Factor found in step 2: 652293079280738723310082134376810783
Found prime factor of 36 digits: 652293079280738723310082134376810783
Prime cofactor 1051011246465548758535143369945678969299820922930474224649085527743063289225959441844091314877029876897708205989653005064745427851358004146790213144404095978874937082623055276970689 has 181 digits

2942721745586780057018571403623515579686620659362614266930087728196740869641300092256803248065725125931879162625491351931083718926039912742875838876718131266619458793361979912935638011658751631272251113<202>

1941211131093448419722074884554561119248201491768484931657810435790072648440735625149222279214947455946624771836625100443639468988778347399854087949042076550781187314460199995359764172381616758707815499850042389092465828442849197697<232>

9299843126914848110103924220103357068476244022664633804241300336823661621404607775229620761003109395609302541469457941015286915567668115415661485488094493512915247364861689262925803380828881415146301939589162912236714153886530754039886555239<241>

6848725354410280923398970276835411601012500481<46>
1357894008835695837465303244797412861458069824662680903838979649781658288599311427536710816500166037800221911844401598217824193636033891091488641125387037652984252079969042056732863086852483158119<196>

Resuming ECM residue saved by @58c87eb46402 with GMP-ECM 7.0.5-dev on Fri Feb 16 02:50:32 2024 
Input number is 9299843126914848110103924220103357068476244022664633804241300336823661621404607775229620761003109395609302541469457941015286915567668115415661485488094493512915247364861689262925803380828881415146301939589162912236714153886530754039886555239 (241 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2092976863
Step 1 took 0ms
Step 2 took 10997ms
********** Factor found in step 2: 6848725354410280923398970276835411601012500481
Found prime factor of 46 digits: 6848725354410280923398970276835411601012500481
Prime cofactor 1357894008835695837465303244797412861458069824662680903838979649781658288599311427536710816500166037800221911844401598217824193636033891091488641125387037652984252079969042056732863086852483158119 has 196 digits

4943307007443019528768503267350632683694693597521484253251807447300651884577800441280830175587513527336827317145869886220306063618034891339615364858310129690046808417199548477283381387845587122882241211139887378978152872632075433151137<235>

24630113152692944753971991394222559019145913314749172058364916927197783314187712058719763542287748511354240775335509258825334166823249608922349805148640613429834371065654761991437922779<185>

290599652112127098518708564564837039463575784068731270121957970058918283203892313052920912226450424885436442310497162102854968012370671193331515633309399127281490712369476655236477647749756224514813196497<204>

267357689000399057133970809101059618872238163032923087543373758133171716258438495859388324077067187503548746882040785027424665535272598215935906522920181814725641<162>

92202607663185624060690409048367409077<38>
2899676004577350144389425718755795665020300242065647001489244952676605232446371362242923679387792014368936978656895675539333<124>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3687327602
Step 1 took 6469ms
Step 2 took 3094ms
********** Factor found in step 2: 92202607663185624060690409048367409077
Found prime factor of 38 digits: 92202607663185624060690409048367409077
Prime cofactor 2899676004577350144389425718755795665020300242065647001489244952676605232446371362242923679387792014368936978656895675539333 has 124 digits
 

GMP-ECM

126983577058580186189061896382923876423984385353413411935688562289581220670524708460479339140807582658759342031667143266628710810775637778276678313170540644778391533293747471851972553262921151503973965502506260133816984304381301129509646281<240>

293572018075308022991123267271128822880578942948467165411348335704737988595086394871032191240909903948230791738406685456853225374545972251940911962457694848151976853064479553379336857266678183453119041884690993060632270174100387766571827130809460516899<252>

792376565006630883020417847970982494602101942872928621321250654289748524670604305715978379365590361697808409080847391686113788663935302104745830283751817672366171780635466304193996597049381082182834679986900414448636633031890810765230045394699951939<249>

102083599398236988812947832751472053121501636948607246027965238309896614910891226085278932465177836791240044830241221107560734942189143479291244844283048750160019851146266264926564867682438095210234468963096656926672375425326745985318671934424177345601527<255>

453003975755840071125910902589142186350177475538495177517085116821962713295633759336834578503556074795932670238167718729551908112532118245540272115611621249364591582403607755874025169382553150807972606206953747032422174114175188734249565773<240>

147340071208375710394655095527362273138899686254980044460639796220992994783366922391562943781375179905498684109671275911876692452216232058505496621638975241539591430647604219903805757853041309900938391867171<207>

11623211683002336146458760916686570999881341851830740394729554629421002008399068206121261102221120352874547257350856882528882296195669715955670437092422885955861897093228754231230402183540622867264461<200>

1237020561373779576248041814059486795233049<43>
9396134588170562301367276348451099898268090416258342818223547382326048353796426588879191027155412675644190128450326552783963875883253707717036873296749771989<157>

Resuming ECM residue saved by @6490c7531d04 with GMP-ECM 7.0.5-dev on Wed Feb  7 13:20:55 2024 
Input number is 11623211683002336146458760916686570999881341851830740394729554629421002008399068206121261102221120352874547257350856882528882296195669715955670437092422885955861897093228754231230402183540622867264461 (200 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3882369533
Step 1 took 0ms
Step 2 took 8845ms
********** Factor found in step 2: 1237020561373779576248041814059486795233049
Found prime factor of 43 digits: 1237020561373779576248041814059486795233049
Prime cofactor 9396134588170562301367276348451099898268090416258342818223547382326048353796426588879191027155412675644190128450326552783963875883253707717036873296749771989 has 157 digits

4406242975495107163117405067495092957916170635507820818222221696103657984000471402233557446688734709843638878004811091210676418800373386345039865976556945955391196116087535080599391096679678894056688486118822036318227548646566569979227523787464409723249797543<259>

981989234051294423876940557852454832596989<42>

4487058332927656201806847512023695289282732255419980091719462377402541584861605624246252615902665649426508764892556745165097461000218079963784056096084689474811233995436931367117756375248705592338251667745129011785587<217>

Resuming ECM residue saved by @de665891dffc with GMP-ECM 7.0.5-dev on Tue Dec 13 19:19:23 2022 
Input number is 4406242975495107163117405067495092957916170635507820818222221696103657984000471402233557446688734709843638878004811091210676418800373386345039865976556945955391196116087535080599391096679678894056688486118822036318227548646566569979227523787464409723249797543 (259 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3842945405
Step 1 took 0ms
Step 2 took 4983ms
********** Factor found in step 2: 981989234051294423876940557852454832596989
Found prime factor of 42 digits: 981989234051294423876940557852454832596989
Composite cofactor 4487058332927656201806847512023695289282732255419980091719462377402541584861605624246252615902665649426508764892556745165097461000218079963784056096084689474811233995436931367117756375248705592338251667745129011785587 has 217 digits

37222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<266>

69051395185755083405155342293254668001161694912267450717862345580329658946305359910417196701730180350118343692222339825954578364748501035974270558224364752494510305570220253981515440723319264645197575361617491312766059661510276703481<233>

23445059199831720896407155573468896620784189496182409861094753519629516722555655134566088231033903293437957657011218720319534391332850465106825900877965979166563947796913387503164848081292030876141544085313<206>

8102492836169410505620553991594351741944685780350717931303011636438889392956495020153541677944577240437496238158720620241309531314084945048500265313860469690246054973775428945371577750210329725771885333<202>

2225650089715522150913248692786300079<37>
3640506148567609684032659730841735603743562582788476908391970221267121928819186524022940761097343980306758968462208791816539952849637461916180097444571469373512680827<166>

GPU: factor 2225650089715522150913248692786300079 found in Step 1 with curve 984 (-sigma 3:1566595372)
Computing 1792 Step 1 took 143ms of CPU time / 175127ms of GPU time
Throughput: 10.233 curves per second (on average 97.73ms per Step 1)
********** Factor found in step 1: 2225650089715522150913248692786300079
Found prime factor of 37 digits: 2225650089715522150913248692786300079
Prime cofactor 3640506148567609684032659730841735603743562582788476908391970221267121928819186524022940761097343980306758968462208791816539952849637461916180097444571469373512680827 has 166 digits
Peak memory usage: 9428MB

23597036364511515283050286830157322901068500999149685227684409028976459120188484550223328684836409745265590878773717646079718608823412300618411262818961142633902188059886585765532515652041415521405841987356469210603511497634273387<230>

28694389853673264841769241259906401403538663<44>

822357139665431140524472280296735001628123805290604114571532332748482525593415695861574146187082235201907172559070118229300338389547039433662344945423100275686209633280807364441596560349<186>

Resuming ECM residue saved by @1f7d965eaec5 with GMP-ECM 7.0.5-dev on Mon Jan 29 19:37:54 2024 
Input number is 23597036364511515283050286830157322901068500999149685227684409028976459120188484550223328684836409745265590878773717646079718608823412300618411262818961142633902188059886585765532515652041415521405841987356469210603511497634273387 (230 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:164897701
Step 1 took 1ms
Step 2 took 10096ms
********** Factor found in step 2: 28694389853673264841769241259906401403538663
Found prime factor of 44 digits: 28694389853673264841769241259906401403538663
Composite cofactor 822357139665431140524472280296735001628123805290604114571532332748482525593415695861574146187082235201907172559070118229300338389547039433662344945423100275686209633280807364441596560349 has 186 digits

2672778058135431810084065429566699320350026104208538175927802403483542387395943665926529860560524093565109264186242245036792140415164140757904621681013134153884042010971367680645514218962687644218071989454689650555318711<220>

101817548059119685624183630823006597829276629688756693965307024892385904346302498502024650745978720842315986904774369798265332886431244403540236960643881781779915546816934428791543995541993604241049823057611667998498701820488378317996857818983742762158634119<258>

37222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<275>

163128954578614260445415170503388548687665635850008114067442314363235126015968089934915214698343938198500688025608434426743610505949491856582474530761642769800995489245074636567860045656972276847824523804550137556209777412928299<228>

864412044100003379079286720801224835018073537<45>

188716660870289721078697039169886007451762569638942007377402445281563010996385555306301751164851229752664241214771721205190934768613834166223766635751617402522527661042526730432744427<183>

Resuming ECM residue saved by @1f7d965eaec5 with GMP-ECM 7.0.5-dev on Mon Jan 29 18:43:39 2024 
Input number is 163128954578614260445415170503388548687665635850008114067442314363235126015968089934915214698343938198500688025608434426743610505949491856582474530761642769800995489245074636567860045656972276847824523804550137556209777412928299 (228 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:562716270
Step 1 took 0ms
Step 2 took 9831ms
********** Factor found in step 2: 864412044100003379079286720801224835018073537
Found prime factor of 45 digits: 864412044100003379079286720801224835018073537
Composite cofactor 188716660870289721078697039169886007451762569638942007377402445281563010996385555306301751164851229752664241214771721205190934768613834166223766635751617402522527661042526730432744427 has 183 digits

22162761410752891179245673412518266621420914546763706682916072566105275620727904892262318496273475380923566268752221071203628703497335483700323384280241402630748353961500231988413543958640063867290057727482248700611527530912315386087923230488088233261<251>

37222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<278>

126219511165376747467937991939718062397426244382463947851169916922253967837970737837802498796055617219524129871099092890149574863901967363340177537924385235748924681596902469923993608323996714550548237609632165992711027497975437918332595015049655222856987489795967<264>

8663854294947778776626232048581980447709112432712982834231199394463863128144444603697296255111989295550661755734532078782981343131877458472540964706187376728880520507949926940749458341180750419450813181408921103868220543715842008504413<235>

372222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<282>