71041348595808575898474102962574044627337742000448615914844872798687364939327469666188829355033081745081<104>

91447285052889824018050603402163978856308255657<47>
776855743226502704282718375683456183626394666774038361233<57>

71041348595808575898474102962574044627337742000448615914844872798687364939327469666188829355033081745081=91447285052889824018050603402163978856308255657*776855743226502704282718375683456183626394666774038361233

cado polynomial
n: 71041348595808575898474102962574044627337742000448615914844872798687364939327469666188829355033081745081
skew: 1.20
type: snfs
c0: 155
c4: 76
Y0: 50000000000000000000000000000
Y1: -1
# f(x) = 76*x^4+155
# g(x) = -x+50000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 620000
tasks.lim1 = 620000
tasks.lpb0 = 25
tasks.lpb1 = 25
tasks.sieve.mfb0 = 45
tasks.sieve.mfb1 = 45
tasks.sieve.lambda0 = 2.2
tasks.sieve.lambda1 = 2.2
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 776855743226502704282718375683456183626394666774038361233 91447285052889824018050603402163978856308255657
Info:Square Root: Total cpu/real time for sqrt: 19.26/6.5684
Info:Filtering - Singleton removal: Total cpu/real time for purge: 31.06/26.4255
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3478243
Info:Lattice Sieving: Average J: 1892.85 for 14738 special-q, max bucket fill -bkmult 1.0,1s:1.394560
Info:Lattice Sieving: Total time: 2714.23s
Info:Generate Free Relations: Total cpu/real time for freerel: 18.72/13.9562
Info:Linear Algebra: Total cpu/real time for bwc: 34.44/10.16
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 17.33, WCT time 4.98, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1536 iterations)
Info:Linear Algebra: Lingen CPU time 4.86, WCT time 1.26
Info:Linear Algebra: Mksol: CPU time 9.59,  WCT time 2.9, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (768 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 12.01/12.9326
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 12.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 24.36/24.5331
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 18.799999999999997s
Info:Filtering - Merging: Merged matrix has 47200 rows and total weight 8030070 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 9.75/2.73675
Info:Filtering - Merging: Total cpu/real time for replay: 1.48/1.20848
Info:Generate Factor Base: Total cpu/real time for makefb: 0.33/0.471844
Info:Quadratic Characters: Total cpu/real time for characters: 1.49/0.584694
Info:Square Root: Total cpu/real time for sqrt: 19.26/6.5684
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2891.67/1588.88
Info:root: Cleaning up computation data in /tmp/cado.b8oqw49w
776855743226502704282718375683456183626394666774038361233 91447285052889824018050603402163978856308255657

cado-nfs-3.0.0

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

3524827960567935122387592308751183136332553789802264572102582140550103203252340207489925485136913593851512726298593<115>

97811986043410097245548119080254756007393<41>
36036769144055366276161502377431802627380503986540499642155926492604838401<74>

3524827960567935122387592308751183136332553789802264572102582140550103203252340207489925485136913593851512726298593=97811986043410097245548119080254756007393*36036769144055366276161502377431802627380503986540499642155926492604838401

cado polynomial
n: 3524827960567935122387592308751183136332553789802264572102582140550103203252340207489925485136913593851512726298593
skew: 1.34
type: snfs
c0: 62
c4: 19
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 19*x^4+62
# g(x) = -x+1000000000000000000000000000000

cado parameters (extracts)
asks.lim0 = 740000
tasks.lim1 = 740000
tasks.lpb0 = 25
tasks.lpb1 = 25
tasks.sieve.mfb0 = 46
tasks.sieve.mfb1 = 46
tasks.sieve.lambda0 = 2.2
tasks.sieve.lambda1 = 2.2
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 97811986043410097245548119080254756007393 36036769144055366276161502377431802627380503986540499642155926492604838401
Info:Square Root: Total cpu/real time for sqrt: 9.66/8.3841
Info:Filtering - Singleton removal: Total cpu/real time for purge: 24.38/34.9025
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3232815
Info:Lattice Sieving: Average J: 1895.17 for 25021 special-q, max bucket fill -bkmult 1.0,1s:1.369410
Info:Lattice Sieving: Total time: 4069.73s
Info:Linear Algebra: Total cpu/real time for bwc: 117.1/114.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 36.95, WCT time 40.02, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (2304 iterations)
Info:Linear Algebra: Lingen CPU time 54.74, WCT time 47.06
Info:Linear Algebra: Mksol: CPU time 20.95,  WCT time 22.72, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (1152 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.45/19.7962
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 23.5/39.7579
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 32.7s
Info:Filtering - Merging: Merged matrix has 72609 rows and total weight 12375430 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 23.29/19.9974
Info:Filtering - Merging: Total cpu/real time for replay: 2.36/2.71067
Info:Generate Factor Base: Total cpu/real time for makefb: 0.38/0.203264
Info:Quadratic Characters: Total cpu/real time for characters: 2.34/2.10665
Info:Square Root: Total cpu/real time for sqrt: 9.66/8.3841
Info:Generate Free Relations: Total cpu/real time for freerel: 18.21/6.21294
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3935.47/2478.27
Info:root: Cleaning up computation data in /tmp/cado.4g493uiu
97811986043410097245548119080254756007393 36036769144055366276161502377431802627380503986540499642155926492604838401

cado-nfs-3.0.0

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

32080154357458909149178849613439381790224832112356383255684805044200373382448262137336466952140065313676394893<110>

5105130331674639859409993872997022778056933291805409<52>
6283905066716608438027242350534559871909933272280436037677<58>

32080154357458909149178849613439381790224832112356383255684805044200373382448262137336466952140065313676394893=5105130331674639859409993872997022778056933291805409*6283905066716608438027242350534559871909933272280436037677

cado polynomial
n: 32080154357458909149178849613439381790224832112356383255684805044200373382448262137336466952140065313676394893
skew: 0.43
type: snfs
c0: 31
c4: 950
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 950*x^4+31
# g(x) = -x+1000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 780000
tasks.lim1 = 780000
tasks.lpb0 = 25
tasks.lpb1 = 25
tasks.sieve.mfb0 = 46
tasks.sieve.mfb1 = 46
tasks.sieve.lambda0 = 2.2
tasks.sieve.lambda1 = 2.2
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6283905066716608438027242350534559871909933272280436037677 5105130331674639859409993872997022778056933291805409
Info:Square Root: Total cpu/real time for sqrt: 11.81/3.84364
Info:Filtering - Singleton removal: Total cpu/real time for purge: 23.3/21.0128
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3240623
Info:Lattice Sieving: Average J: 1890.14 for 32349 special-q, max bucket fill -bkmult 1.0,1s:1.362410
Info:Lattice Sieving: Total time: 4884.09s
Info:Linear Algebra: Total cpu/real time for bwc: 91.24/25.22
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 49.6, WCT time 13.34, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2560 iterations)
Info:Linear Algebra: Lingen CPU time 8.96, WCT time 2.31
Info:Linear Algebra: Mksol: CPU time 28.07,  WCT time 7.67, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1280 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.24/11.5543
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 11.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 22.95/21.1825
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 17.6s
Info:Generate Free Relations: Total cpu/real time for freerel: 18.72/13.7489
Info:Filtering - Merging: Merged matrix has 81424 rows and total weight 13843147 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 16.56/4.6024
Info:Filtering - Merging: Total cpu/real time for replay: 2.47/2.0509
Info:Generate Factor Base: Total cpu/real time for makefb: 0.39/0.57132
Info:Quadratic Characters: Total cpu/real time for characters: 2.52/0.974356
Info:Square Root: Total cpu/real time for sqrt: 11.81/3.84364
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4719.47/2651.74
Info:root: Cleaning up computation data in /tmp/cado.mil_hw_s
6283905066716608438027242350534559871909933272280436037677 5105130331674639859409993872997022778056933291805409

cado-nfs-3.0.0

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

5974184400350302586653439948025667498211020656926070893310610566156809864398552937791886720730502850699756992973<112>

3016720681129177460417468740095077623810914325531939<52>
1980357159919137067107054054705577298021955456340838389654607<61>

Tue May 31 20:24:07 2022  Msieve v. 1.53 (SVN unknown)
Tue May 31 20:24:07 2022  random seeds: da8ac780 26ea4b28
Tue May 31 20:24:07 2022  factoring 5974184400350302586653439948025667498211020656926070893310610566156809864398552937791886720730502850699756992973 (112 digits)
Tue May 31 20:24:08 2022  searching for 15-digit factors
Tue May 31 20:24:09 2022  commencing number field sieve (112-digit input)
Tue May 31 20:24:09 2022  R0: -5000000000000000000000000000000
Tue May 31 20:24:09 2022  R1: 1
Tue May 31 20:24:09 2022  A0: 155
Tue May 31 20:24:09 2022  A1: 0
Tue May 31 20:24:09 2022  A2: 0
Tue May 31 20:24:09 2022  A3: 0
Tue May 31 20:24:09 2022  A4: 76
Tue May 31 20:24:09 2022  skew 1.20, size 3.939e-13, alpha -0.383, combined = 2.358e-08 rroots = 0
Tue May 31 20:24:09 2022  
Tue May 31 20:24:09 2022  commencing square root phase
Tue May 31 20:24:09 2022  reading relations for dependency 1
Tue May 31 20:24:09 2022  read 45238 cycles
Tue May 31 20:24:09 2022  cycles contain 137102 unique relations
Tue May 31 20:24:11 2022  read 137102 relations
Tue May 31 20:24:11 2022  multiplying 137102 relations
Tue May 31 20:24:13 2022  multiply complete, coefficients have about 3.54 million bits
Tue May 31 20:24:13 2022  initial square root is modulo 142467097
Tue May 31 20:24:17 2022  GCD is 1, no factor found
Tue May 31 20:24:17 2022  reading relations for dependency 2
Tue May 31 20:24:17 2022  read 45348 cycles
Tue May 31 20:24:17 2022  cycles contain 137168 unique relations
Tue May 31 20:24:19 2022  read 137168 relations
Tue May 31 20:24:19 2022  multiplying 137168 relations
Tue May 31 20:24:21 2022  multiply complete, coefficients have about 3.54 million bits
Tue May 31 20:24:21 2022  initial square root is modulo 143849221
Tue May 31 20:24:25 2022  sqrtTime: 16
Tue May 31 20:24:25 2022  p52 factor: 3016720681129177460417468740095077623810914325531939
Tue May 31 20:24:25 2022  p61 factor: 1980357159919137067107054054705577298021955456340838389654607
Tue May 31 20:24:25 2022  elapsed time 00:00:18

10529242977355145048080402629384723132447569080423577036541238999296314066702865095681447617958277819285161935877796941<119>

1182430546945879636310757782992896048040710131<46>
8904745403060931838269032840775919679700873673169838674398342258243320511<73>

N=10529242977355145048080402629384723132447569080423577036541238999296314066702865095681447617958277819285161935877796941
  ( 119 digits)
SNFS difficulty: 125 digits.
Divisors found:
p46 factor: 1182430546945879636310757782992896048040710131
p73 factor: 8904745403060931838269032840775919679700873673169838674398342258243320511
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.84 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 10529242977355145048080402629384723132447569080423577036541238999296314066702865095681447617958277819285161935877796941
m: 10000000000000000000000000000000
deg: 4
c4: 19
c0: 62
skew: 1.34
# Murphy_E = 1.64e-08
type: snfs
lss: 1
rlim: 860000
alim: 860000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 860000/860000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [430000, 880001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 116076 x 116301
Total sieving time: 1.80 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,125.000,4,0,0,0,0,0,0,0,0,860000,860000,26,26,46,46,2.3,2.3,75000
total time: 1.84 hours.
 --------- CPU info (if available) ----------

753708940401925050651706355463430301091281867719584460450924510101618331394897422857099287366599066363995727906896202559<120>

1855560982166275188682956807419748842269663<43>
406189259014277901521490864782106227356510187739683198310815570079043956575393<78>

753708940401925050651706355463430301091281867719584460450924510101618331394897422857099287366599066363995727906896202559=1855560982166275188682956807419748842269663*406189259014277901521490864782106227356510187739683198310815570079043956575393

cado polynomial
n: 753708940401925050651706355463430301091281867719584460450924510101618331394897422857099287366599066363995727906896202559
skew: 1.20
type: snfs
c0: 155
c4: 76
Y0: 500000000000000000000000000000000
Y1: -1
# f(x) = 76*x^4+155
# g(x) = -x+500000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1140000
tasks.lim1 = 1140000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 47
tasks.sieve.mfb1 = 47
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1855560982166275188682956807419748842269663 406189259014277901521490864782106227356510187739683198310815570079043956575393
Info:Square Root: Total cpu/real time for sqrt: 14.9/12.1163
Info:Filtering - Singleton removal: Total cpu/real time for purge: 53.93/60.5863
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6089533
Info:Lattice Sieving: Average J: 1891.81 for 63109 special-q, max bucket fill -bkmult 1.0,1s:1.359000
Info:Lattice Sieving: Total time: 11716.8s
Info:Linear Algebra: Total cpu/real time for bwc: 255.5/212.73
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 89.3, WCT time 65.59, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3392 iterations)
Info:Linear Algebra: Lingen CPU time 112.01, WCT time 95.37
Info:Linear Algebra: Mksol: CPU time 48.12,  WCT time 48.43, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (1664 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.3/24.98
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.54/39.8143
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.6s
Info:Filtering - Merging: Merged matrix has 106784 rows and total weight 18177244 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 22.71/8.81206
Info:Filtering - Merging: Total cpu/real time for replay: 3.24/2.95062
Info:Generate Factor Base: Total cpu/real time for makefb: 0.58/0.791256
Info:Quadratic Characters: Total cpu/real time for characters: 3.38/2.80678
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 47.92/78.2372
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.1s
Info:Square Root: Total cpu/real time for sqrt: 14.9/12.1163
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 11454.4/6520.2
Info:root: Cleaning up computation data in /tmp/cado.hgqbfi_m
1855560982166275188682956807419748842269663 406189259014277901521490864782106227356510187739683198310815570079043956575393

cado-nfs-3.0.0

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

270900816777509070568907363460487832968035251800666457265809192058724084782636255587435442760048725656392969213<111>

87782462243162741679627065476541374287333854977<47>
3086047142618275919593919690903751240668115633386634731911305469<64>

270900816777509070568907363460487832968035251800666457265809192058724084782636255587435442760048725656392969213=87782462243162741679627065476541374287333854977*3086047142618275919593919690903751240668115633386634731911305469=

cado polynomial
n: 270900816777509070568907363460487832968035251800666457265809192058724084782636255587435442760048725656392969213
skew: 0.43
type: snfs
c0: 31
c4: 950
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 950*x^4+31
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1240000
tasks.lim1 = 1240000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 47
tasks.sieve.mfb1 = 47
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3086047142618275919593919690903751240668115633386634731911305469 87782462243162741679627065476541374287333854977
Info:Square Root: Total cpu/real time for sqrt: 21.3/7.14722
Info:Filtering - Singleton removal: Total cpu/real time for purge: 46.49/39.9018
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6075161
Info:Lattice Sieving: Average J: 1889.57 for 121594 special-q, max bucket fill -bkmult 1.0,1s:1.357970
Info:Lattice Sieving: Total time: 17212s
Info:Linear Algebra: Total cpu/real time for bwc: 278.4/73.45
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 159.5, WCT time 41.23, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4608 iterations)
Info:Linear Algebra: Lingen CPU time 19.3, WCT time 4.95
Info:Linear Algebra: Mksol: CPU time 87.89,  WCT time 22.86, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2304 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.21/21.5207
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 46.18/47.1371
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 35.7s
Info:Filtering - Merging: Merged matrix has 144402 rows and total weight 24571475 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 28.59/7.93846
Info:Filtering - Merging: Total cpu/real time for replay: 4.3/3.61816
Info:Generate Factor Base: Total cpu/real time for makefb: 0.64/0.353673
Info:Quadratic Characters: Total cpu/real time for characters: 4.24/1.67779
Info:Square Root: Total cpu/real time for sqrt: 21.3/7.14722
Info:Generate Free Relations: Total cpu/real time for freerel: 36.24/10.9998
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 18832.9/8952.92
Info:root: Cleaning up computation data in /tmp/cado.qa4qiit8
3086047142618275919593919690903751240668115633386634731911305469 87782462243162741679627065476541374287333854977

cado-nfs-3.0.0

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

14777191096077331232512379900782809694516249726788194817812625471896592838688854514015598022078923027636255753310915813<119>

1965895567418648291955070600548380027466329906429409545687<58>
7516773190287399928495231729087575290711709829260411884014499<61>

Wed Jun  1 12:05:04 2022  Msieve v. 1.53 (SVN unknown)
Wed Jun  1 12:05:04 2022  random seeds: dd53cd74 2d52d8de
Wed Jun  1 12:05:04 2022  factoring 14777191096077331232512379900782809694516249726788194817812625471896592838688854514015598022078923027636255753310915813 (119 digits)
Wed Jun  1 12:05:04 2022  searching for 15-digit factors
Wed Jun  1 12:05:04 2022  commencing number field sieve (119-digit input)
Wed Jun  1 12:05:04 2022  R0: -5000000000000000000000000000000000
Wed Jun  1 12:05:04 2022  R1: 1
Wed Jun  1 12:05:04 2022  A0: 155
Wed Jun  1 12:05:04 2022  A1: 0
Wed Jun  1 12:05:04 2022  A2: 0
Wed Jun  1 12:05:04 2022  A3: 0
Wed Jun  1 12:05:04 2022  A4: 76
Wed Jun  1 12:05:04 2022  skew 1.20, size 2.485e-14, alpha -0.383, combined = 6.144e-09 rroots = 0
Wed Jun  1 12:05:04 2022  
Wed Jun  1 12:05:04 2022  commencing square root phase
Wed Jun  1 12:05:04 2022  reading relations for dependency 1
Wed Jun  1 12:05:04 2022  read 92515 cycles
Wed Jun  1 12:05:04 2022  cycles contain 284250 unique relations
Wed Jun  1 12:05:07 2022  read 284250 relations
Wed Jun  1 12:05:07 2022  multiplying 284250 relations
Wed Jun  1 12:05:10 2022  multiply complete, coefficients have about 7.50 million bits
Wed Jun  1 12:05:10 2022  initial square root is modulo 421686869
Wed Jun  1 12:05:13 2022  GCD is 1, no factor found
Wed Jun  1 12:05:13 2022  reading relations for dependency 2
Wed Jun  1 12:05:13 2022  read 92677 cycles
Wed Jun  1 12:05:13 2022  cycles contain 284984 unique relations
Wed Jun  1 12:05:15 2022  read 284984 relations
Wed Jun  1 12:05:16 2022  multiplying 284984 relations
Wed Jun  1 12:05:19 2022  multiply complete, coefficients have about 7.52 million bits
Wed Jun  1 12:05:19 2022  initial square root is modulo 442957937
Wed Jun  1 12:05:22 2022  sqrtTime: 18
Wed Jun  1 12:05:22 2022  p58 factor: 1965895567418648291955070600548380027466329906429409545687
Wed Jun  1 12:05:22 2022  p61 factor: 7516773190287399928495231729087575290711709829260411884014499
Wed Jun  1 12:05:22 2022  elapsed time 00:00:18
Wed Jun 01 12:05:22 2022 -> Computing time scale for this machine...
Wed Jun 01 12:05:22 2022 -> procrels -speedtest> PIPE

10024667312554156419086524429830233581198601851057596778524430018131251807514332312336361354977838264914809<107>

1535851739888716004769024048512919011363<40>
6527106134137998806440790546687718459401123766541366208055686187443<67>

10024667312554156419086524429830233581198601851057596778524430018131251807514332312336361354977838264914809=1535851739888716004769024048512919011363*6527106134137998806440790546687718459401123766541366208055686187443

cado polynomial
n: 10024667312554156419086524429830233581198601851057596778524430018131251807514332312336361354977838264914809
skew: 1.34
type: snfs
c0: 62
c4: 19
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 19*x^4+62
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1360000
tasks.lim1 = 1360000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1535851739888716004769024048512919011363 6527106134137998806440790546687718459401123766541366208055686187443
Info:Square Root: Total cpu/real time for sqrt: 24.55/7.86698
Info:Filtering - Singleton removal: Total cpu/real time for purge: 41.66/37.5228
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6088189
Info:Lattice Sieving: Average J: 1891.06 for 114448 special-q, max bucket fill -bkmult 1.0,1s:1.320850
Info:Lattice Sieving: Total time: 9602.51s
Info:Linear Algebra: Total cpu/real time for bwc: 416.8/108.95
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 245.86, WCT time 63.11, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5504 iterations)
Info:Linear Algebra: Lingen CPU time 23.34, WCT time 5.96
Info:Linear Algebra: Mksol: CPU time 133.25,  WCT time 34.38, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2688 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.15/23.5392
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 47.32/47.264
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 35.9s
Info:Filtering - Merging: Merged matrix has 171655 rows and total weight 29187506 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 34.22/9.59718
Info:Filtering - Merging: Total cpu/real time for replay: 5.24/4.34346
Info:Generate Factor Base: Total cpu/real time for makefb: 0.7/0.380284
Info:Quadratic Characters: Total cpu/real time for characters: 5.26/2.04143
Info:Square Root: Total cpu/real time for sqrt: 24.55/7.86698
Info:Generate Free Relations: Total cpu/real time for freerel: 36.03/11.0772
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 17901/5135.6
Info:root: Cleaning up computation data in /tmp/cado.k62yhg1h
1535851739888716004769024048512919011363 6527106134137998806440790546687718459401123766541366208055686187443

cado-nfs-3.0.0

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

3666251875134172133629442432137147256715729636321329459778618900136664390307907667271340520155879336083440788884473430833<121>

2469703497647810878792899277400435598280857163988341276183<58>
1484490700452898499665186186407780987382347853531564259499138551<64>

3666251875134172133629442432137147256715729636321329459778618900136664390307907667271340520155879336083440788884473430833=2469703497647810878792899277400435598280857163988341276183*1484490700452898499665186186407780987382347853531564259499138551

cado polynomial
n: 3666251875134172133629442432137147256715729636321329459778618900136664390307907667271340520155879336083440788884473430833
skew: 0.76
type: snfs
c0: 31
c4: 95
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 95*x^4+31
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 1400000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1484490700452898499665186186407780987382347853531564259499138551 2469703497647810878792899277400435598280857163988341276183
Info:Square Root: Total cpu/real time for sqrt: 22.2/17.7061
Info:Filtering - Singleton removal: Total cpu/real time for purge: 46.45/67.0367
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6093281
Info:Lattice Sieving: Average J: 1891.06 for 82706 special-q, max bucket fill -bkmult 1.0,1s:1.332830
Info:Lattice Sieving: Total time: 14432.9s
Info:Linear Algebra: Total cpu/real time for bwc: 414.79/387.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 161.16, WCT time 160.03, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4608 iterations)
Info:Linear Algebra: Lingen CPU time 154.3, WCT time 127.06
Info:Linear Algebra: Mksol: CPU time 86.54,  WCT time 88.42, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2304 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.84/25.5512
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.6/29.3523
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 29.1s
Info:Filtering - Merging: Merged matrix has 144888 rows and total weight 24694389 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 33.68/26.3098
Info:Filtering - Merging: Total cpu/real time for replay: 4.81/5.00571
Info:Generate Factor Base: Total cpu/real time for makefb: 0.73/0.910603
Info:Quadratic Characters: Total cpu/real time for characters: 4.6/3.76743
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.18/72.9885
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 60.0s
Info:Square Root: Total cpu/real time for sqrt: 22.2/17.7061
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 14153/8133.64
Info:root: Cleaning up computation data in /tmp/cado.5n8jqxga
1484490700452898499665186186407780987382347853531564259499138551 2469703497647810878792899277400435598280857163988341276183

cado-nfs-3.0.0

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

2187961508736265445885481956445701209535062555316561065280226855219201384376218277120341406750082353719630144222822368548481691748421<133>

92373023290259819443821815297289650027725498884424147<53>
23686152415528580486483724070000683820102701466355797400523174376223664936478343<80>

Number: n
N=2187961508736265445885481956445701209535062555316561065280226855219201384376218277120341406750082353719630144222822368548481691748421  ( 133 digits)
SNFS difficulty: 140 digits.
Divisors found:

Mon May 30 16:02:24 2022  p53 factor: 92373023290259819443821815297289650027725498884424147
Mon May 30 16:02:24 2022  p80 factor: 23686152415528580486483724070000683820102701466355797400523174376223664936478343
Mon May 30 16:02:24 2022  elapsed time 00:02:53 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 19x10^139+62 = 21(138)8
#
n: 2187961508736265445885481956445701209535062555316561065280226855219201384376218277120341406750082353719630144222822368548481691748421
m: 50000000000000000000000000000000000
deg: 4
c4: 76
c0: 155
skew: 1.20
# Murphy_E = 3.887e-09
type: snfs
lss: 1
rlim: 1550000
alim: 1550000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1550000/1550000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6375000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 382562 hash collisions in 6071877 relations (6379146 unique)
Msieve: matrix is 222870 x 223095 (74.5 MB)

Sieving start time : 2022/05/30 15:45:04
Sieving end time  : 2022/05/30 15:59:19

Total sieving time: 0hrs 14min 15secs.

Total relation processing time: 0hrs 1min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 22sec.

Prototype def-par.txt line would be:
snfs,140,4,0,0,0,0,0,0,0,0,1550000,1550000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

351851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853<141>

21113859101512560105090141686008287369091<41>
16664497482918496779578028384062675356297480993920770197320841265508485293264591890443803602284390383<101>

Number: n
N=351851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853  ( 141 digits)
SNFS difficulty: 141 digits.
Divisors found:

Mon May 30 05:03:17 2022  p41 factor: 21113859101512560105090141686008287369091
Mon May 30 05:03:17 2022  p101 factor: 16664497482918496779578028384062675356297480993920770197320841265508485293264591890443803602284390383
Mon May 30 05:03:17 2022  elapsed time 00:02:57 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 19x10^141+62 = 21(140)8
#
n: 351851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853
m: 100000000000000000000000000000000000
deg: 4
c4: 95
c0: 31
skew: 0.76
# Murphy_E = 3.545e-09
type: snfs
lss: 1
rlim: 1630000
alim: 1630000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1630000/1630000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6415000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 473843 hash collisions in 6613325 relations (6869817 unique)
Msieve: matrix is 229685 x 229910 (76.8 MB)

Sieving start time : 2022/05/30 04:33:00
Sieving end time  : 2022/05/30 04:53:40

Total sieving time: 0hrs 20min 40secs.

Total relation processing time: 0hrs 1min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 22sec.

Prototype def-par.txt line would be:
snfs,141,4,0,0,0,0,0,0,0,0,1630000,1630000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

7498201944751992060738433774858267238546249101066196406570011219297714507148023538352738210398581484957975751413439450607<121>

492795774211222092883055154911536739871964753<45>
15215637668065946580011247552249216432283746914661280979689103837235313965119<77>

7498201944751992060738433774858267238546249101066196406570011219297714507148023538352738210398581484957975751413439450607=492795774211222092883055154911536739871964753*15215637668065946580011247552249216432283746914661280979689103837235313965119

cado polynomial
n: 7498201944751992060738433774858267238546249101066196406570011219297714507148023538352738210398581484957975751413439450607
skew: 0.43
type: snfs
c0: 31
c4: 950
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 950*x^4+31
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1690000
tasks.lim1 = 1690000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 492795774211222092883055154911536739871964753 15215637668065946580011247552249216432283746914661280979689103837235313965119
Info:Square Root: Total cpu/real time for sqrt: 37.68/29.0625
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50/73.9338
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 68.2s
Info:Square Root: Total cpu/real time for sqrt: 37.68/29.0625
Info:Filtering - Singleton removal: Total cpu/real time for purge: 36.09/53.5397
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6038146
Info:Lattice Sieving: Average J: 1890.41 for 210662 special-q, max bucket fill -bkmult 1.0,1s:1.329270
Info:Lattice Sieving: Total time: 33076.7s
Info:Linear Algebra: Total cpu/real time for bwc: 1061.38/984.36
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 524.68, WCT time 493.24, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7680 iterations)
Info:Linear Algebra: Lingen CPU time 227.26, WCT time 194.32
Info:Linear Algebra: Mksol: CPU time 286.69,  WCT time 275.89, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3840 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.95/25.9197
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.16/39.9437
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.7s
Info:Filtering - Merging: Merged matrix has 243193 rows and total weight 41508942 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 52.39/39.4893
Info:Filtering - Merging: Total cpu/real time for replay: 8.2/8.89803
Info:Generate Factor Base: Total cpu/real time for makefb: 0.88/1.16225
Info:Quadratic Characters: Total cpu/real time for characters: 7.51/6.22631
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 31845/18018.6
Info:root: Cleaning up computation data in /tmp/cado.52cj18hh
492795774211222092883055154911536739871964753 15215637668065946580011247552249216432283746914661280979689103837235313965119

cado-nfs-3.0.0

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

974194878464719259277803082698428696510611591621306582441201472219037992684610255908949719496558004225299420196711456574621270835321<132>

316539671410842412081004595340789282483255072855359754411<57>
3077639128525835158902935896111197337519514535542104970008966342001071528811<76>

974194878464719259277803082698428696510611591621306582441201472219037992684610255908949719496558004225299420196711456574621270835321=316539671410842412081004595340789282483255072855359754411*3077639128525835158902935896111197337519514535542104970008966342001071528811

cado polynomial
n: 974194878464719259277803082698428696510611591621306582441201472219037992684610255908949719496558004225299420196711456574621270835321
skew: 1.20
type: snfs
c0: 155
c4: 76
Y0: 500000000000000000000000000000000000
Y1: -1
# f(x) = 76*x^4+155
# g(x) = -x+500000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1800000
tasks.lim1 = 1800000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3077639128525835158902935896111197337519514535542104970008966342001071528811 316539671410842412081004595340789282483255072855359754411
Info:Square Root: Total cpu/real time for sqrt: 38.33/30.4942
Info:Filtering - Singleton removal: Total cpu/real time for purge: 35.51/53.9889
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6046133
Info:Lattice Sieving: Average J: 1891.08 for 138835 special-q, max bucket fill -bkmult 1.0,1s:1.325070
Info:Lattice Sieving: Total time: 22972.7s
Info:Linear Algebra: Total cpu/real time for bwc: 956.17/917.12
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 471.62, WCT time 459.24, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7424 iterations)
Info:Linear Algebra: Lingen CPU time 203.83, WCT time 179.06
Info:Linear Algebra: Mksol: CPU time 259.22,  WCT time 258.64, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3712 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.37/40.6367
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.25/79.0194
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 70.80000000000001s
Info:Filtering - Merging: Merged matrix has 235943 rows and total weight 40218767 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 51/39.7348
Info:Filtering - Merging: Total cpu/real time for replay: 8.26/8.97027
Info:Generate Factor Base: Total cpu/real time for makefb: 0.92/0.515726
Info:Quadratic Characters: Total cpu/real time for characters: 7.71/6.60079
Info:Square Root: Total cpu/real time for sqrt: 38.33/30.4942
Info:Generate Free Relations: Total cpu/real time for freerel: 37.4/11.202
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 22758.9/12923.7
Info:root: Cleaning up computation data in /tmp/cado.sv4l2gl4
3077639128525835158902935896111197337519514535542104970008966342001071528811 316539671410842412081004595340789282483255072855359754411

cado-nfs-3.0.0

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

414280906663278388258861429357988449449557780881002797894036310517821809757742831334654805614045550916606291<108>

521363416164653428356919722022411780343<39>
794610618656148719280897124403853050328314818392440400655902400655237<69>

414280906663278388258861429357988449449557780881002797894036310517821809757742831334654805614045550916606291=521363416164653428356919722022411780343*794610618656148719280897124403853050328314818392440400655902400655237

cado polynomial
n: 414280906663278388258861429357988449449557780881002797894036310517821809757742831334654805614045550916606291
skew: 1.20
type: snfs
c0: 155
c4: 76
Y0: 5000000000000000000000000000000000000
Y1: -1
# f(x) = 76*x^4+155
# g(x) = -x+5000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2100000
tasks.lim1 = 2100000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 794610618656148719280897124403853050328314818392440400655902400655237 521363416164653428356919722022411780343
Info:Square Root: Total cpu/real time for sqrt: 50.37/16.2444
Info:Filtering - Singleton removal: Total cpu/real time for purge: 31.21/31.8355
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6049274
Info:Lattice Sieving: Average J: 1891.39 for 202330 special-q, max bucket fill -bkmult 1.0,1s:1.328210
Info:Lattice Sieving: Total time: 29237.8s
Info:Linear Algebra: Total cpu/real time for bwc: 1257.4/325.27
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 765.37, WCT time 195.57, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9344 iterations)
Info:Linear Algebra: Lingen CPU time 45.81, WCT time 11.67
Info:Linear Algebra: Mksol: CPU time 419.72,  WCT time 107.26, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4736 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.72/24.9715
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.36/24.9381
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 24.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.04/49.7761
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.400000000000006s
Info:Filtering - Merging: Merged matrix has 297366 rows and total weight 50600597 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 59.19/16.637
Info:Filtering - Merging: Total cpu/real time for replay: 9.41/7.81611
Info:Generate Factor Base: Total cpu/real time for makefb: 1.1/1.49496
Info:Quadratic Characters: Total cpu/real time for characters: 9.44/3.72314
Info:Square Root: Total cpu/real time for sqrt: 50.37/16.2444
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 32858.2/15262
Info:root: Cleaning up computation data in /tmp/cado.dg0dtx71
794610618656148719280897124403853050328314818392440400655902400655237 521363416164653428356919722022411780343

cado-nfs-3.0.0

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

66515241679444518793562632432388232143528148484034794079947557410464820701339<77>

14818501396828012933058531145597646459<38>
4488661835513441061164594029976340532321<40>

66515241679444518793562632432388232143528148484034794079947557410464820701339 = 14818501396828012933058531145597646459 * 4488661835513441061164594029976340532321

Time elapsed: 0d 0h 1m 58.1s

Modular multiplications:

ECM: 78622512
Probable prime checking: 1314
SIQS: 91332
Sum of squares: 1470
SIQS:

297142 polynomials sieved
301555 sets of trial divisions
10814 smooth congruences found (1 out of every 1917711 values)
116816 partial congruences found (1 out of every 177528 values)
10900 useful partial congruences
Size of binary matrix: 19865 × 19268

Dario Alpern's calculator

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

2920914559243799596412438900113240998040260955896463241875098663689675467320433265455060792199925316396239926119653893011973477221372486669204990613<148>

10673041021375242929500799441840624099<38>
273672194587652193414394210593220422865239523869044657125418836966907773671635196562497183383221157554663906087<111>

Number: n
N=2920914559243799596412438900113240998040260955896463241875098663689675467320433265455060792199925316396239926119653893011973477221372486669204990613  ( 148 digits)
SNFS difficulty: 156 digits.
Divisors found:

Tue May 31 15:54:18 2022  p38 factor: 10673041021375242929500799441840624099
Tue May 31 15:54:18 2022  p111 factor: 273672194587652193414394210593220422865239523869044657125418836966907773671635196562497183383221157554663906087
Tue May 31 15:54:18 2022  elapsed time 00:06:43 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 19x10^156+62 = 21(155)8
#
n: 2920914559243799596412438900113240998040260955896463241875098663689675467320433265455060792199925316396239926119653893011973477221372486669204990613
m: 10000000000000000000000000000000
deg: 5
c5: 95
c0: 31
skew: 0.80
# Murphy_E = 6.408e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1484151 hash collisions in 14243161 relations (13639635 unique)
Msieve: matrix is 449929 x 450155 (150.5 MB)

Sieving start time : 2022/05/31 14:53:08
Sieving end time  : 2022/05/31 15:47:20

Total sieving time: 0hrs 54min 12secs.

Total relation processing time: 0hrs 3min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 22sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

383870137674214546590851358502320274363883687371347671652307024911387334827714637469122825103370721171347040378594855203637284356799929467<138>

424438290001391318636145987223536329433653031173<48>
904419197601036917065943404161560707888242591399408204346930244659621577578066712419831679<90>

Number: n
N=383870137674214546590851358502320274363883687371347671652307024911387334827714637469122825103370721171347040378594855203637284356799929467  ( 138 digits)
SNFS difficulty: 161 digits.
Divisors found:

Thu Jun  2 07:27:34 2022  p48 factor: 424438290001391318636145987223536329433653031173
Thu Jun  2 07:27:34 2022  p90 factor: 904419197601036917065943404161560707888242591399408204346930244659621577578066712419831679
Thu Jun  2 07:27:34 2022  elapsed time 00:11:51 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 19x10^161+62 = 21(160)8
#
n: 383870137674214546590851358502320274363883687371347671652307024911387334827714637469122825103370721171347040378594855203637284356799929467
m: 100000000000000000000000000000000
deg: 5
c5: 95
c0: 31
skew: 0.80
# Murphy_E = 4.105e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1021466 hash collisions in 11703759 relations (11425633 unique)
Msieve: matrix is 575025 x 575251 (198.6 MB)

Sieving start time : 2022/06/02 05:59:11
Sieving end time  : 2022/06/02 07:15:10

Total sieving time: 1hrs 15min 59secs.

Total relation processing time: 0hrs 5min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 4sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

993916514024256093149824681488691269432177953591165021663660404746039937306793886461204993485033<96>

9224018503766881529434752302204238613<37>
107753091954267325171541088818830279352439145231194349886341<60>

993916514024256093149824681488691269432177953591165021663660404746039937306793886461204993485033=9224018503766881529434752302204238613*107753091954267325171541088818830279352439145231194349886341

cado polynomial
n: 993916514024256093149824681488691269432177953591165021663660404746039937306793886461204993485033
skew: 374306.664
c0: 69991852233533762281576452
c1: -12241279452611385557
c2: -1740537193346425
c3: -2612303840
c4: 4080
Y0: -181677666152823435031685
Y1: 27236318693076167
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=4.194e+11) = 8.137e-06
# f(x) = 4080*x^4-2612303840*x^3-1740537193346425*x^2-12241279452611385557*x+69991852233533762281576452
# g(x) = 27236318693076167*x-181677666152823435031685

cado parameters (extracts)
tasks.lim0 = 600000
tasks.lim1 = 850000
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 50
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 107753091954267325171541088818830279352439145231194349886341 9224018503766881529434752302204238613
Info:Square Root: Total cpu/real time for sqrt: 53.54/37.6146
Info:Filtering - Singleton removal: Total cpu/real time for purge: 21.84/34.356
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2730227
Info:Lattice Sieving: Average J: 1024 for 50122 special-q, max bucket fill -bkmult 1.0,1s:1.362140
Info:Lattice Sieving: Total time: 2329.72s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.62/0.181069
Info:Linear Algebra: Total cpu/real time for bwc: 287.5/264.83
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 126.42, WCT time 120.9, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (4480 iterations)
Info:Linear Algebra: Lingen CPU time 79.64, WCT time 63.48
Info:Linear Algebra: Mksol: CPU time 70.98,  WCT time 70.94, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (2304 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 24.03/6.601
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 10.69/14.6838
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 13.8s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 51.39
Info:Polynomial Selection (root optimized): Rootsieve time: 50.99
Info:Filtering - Merging: Merged matrix has 141333 rows and total weight 20561682 (145.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 21.85/17.1003
Info:Filtering - Merging: Total cpu/real time for replay: 4.73/5.1577
Info:Quadratic Characters: Total cpu/real time for characters: 5.19/3.92889
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 7181.67
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 7302/31.330/37.104/43.720/1.402
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 4862/31.000/35.107/38.680/1.162
Info:Polynomial Selection (size optimized): Total time: 125.76
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 32.08/50.109
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 35.5s
Info:Square Root: Total cpu/real time for sqrt: 53.54/37.6146
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4131.74/1651.48
Info:root: Cleaning up computation data in /tmp/cado.4418lejg
107753091954267325171541088818830279352439145231194349886341 9224018503766881529434752302204238613

cado-nfs-3.0.0

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

173704743229960904738051613538272768686119769562288647360227203082953396307388146739076560203213079145170931863667246326863402933913447772813214493<147>

1891702580836254059499446360145894644835478825823<49>
91824552648848345823861774336185705171958386210145427039928043077782465599554949226114965736300291<98>

Number: n
N=173704743229960904738051613538272768686119769562288647360227203082953396307388146739076560203213079145170931863667246326863402933913447772813214493  ( 147 digits)
SNFS difficulty: 166 digits.
Divisors found:

Wed Jun  8 07:28:19 2022  p49 factor: 1891702580836254059499446360145894644835478825823
Wed Jun  8 07:28:19 2022  p98 factor: 91824552648848345823861774336185705171958386210145427039928043077782465599554949226114965736300291
Wed Jun  8 07:28:19 2022  elapsed time 00:08:29 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 19x10^165+62 = 21(164)8
#
n: 173704743229960904738051613538272768686119769562288647360227203082953396307388146739076560203213079145170931863667246326863402933913447772813214493
m: 1000000000000000000000000000000000
deg: 5
c5: 19
c0: 62
skew: 1.27
# Murphy_E = 3.488e-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 1252137 hash collisions in 12395606 relations (11899488 unique)
Msieve: matrix is 551564 x 551789 (191.1 MB)

Sieving start time : 2022/06/08 06:43:30
Sieving end time  : 2022/06/08 07:19:35

Total sieving time: 0hrs 36min 5secs.

Total relation processing time: 0hrs 4min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 2sec.

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) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

243821699453222337445208266694103045503466632108006157462440110467356026147087982966895181324997103864182686402018650687018928689928681097172553385711041<153>

530402766169840039524752776227609615303083663581946539<54>
459691606086285562278377037968349295079962576810381359666861576367652001241807650295064745043921219<99>

Number: n
N=243821699453222337445208266694103045503466632108006157462440110467356026147087982966895181324997103864182686402018650687018928689928681097172553385711041  ( 153 digits)
SNFS difficulty: 168 digits.
Divisors found:

Mon Jun  6 05:24:22 2022  p54 factor: 530402766169840039524752776227609615303083663581946539
Mon Jun  6 05:24:22 2022  p99 factor: 459691606086285562278377037968349295079962576810381359666861576367652001241807650295064745043921219
Mon Jun  6 05:24:22 2022  elapsed time 00:13:40 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 19x10^168+62 = 21(167)8
#
n: 243821699453222337445208266694103045503466632108006157462440110467356026147087982966895181324997103864182686402018650687018928689928681097172553385711041
m: 1000000000000000000000000000000000
deg: 5
c5: 9500
c0: 31
skew: 0.32
# Murphy_E = 1.888e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1332080 hash collisions in 12012990 relations (11381295 unique)
Msieve: matrix is 800279 x 800504 (278.2 MB)

Sieving start time : 2022/06/06 03:56:09
Sieving end time  : 2022/06/06 05:10:27

Total sieving time: 1hrs 14min 18secs.

Total relation processing time: 0hrs 9min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 7sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

1377953343063888867361555847953490406664022981237860601840080509936130535793226683562589259225081288956302658871730334309254481444965046251228151<145>

13779400550555726682168134226104708526792190997<47>
100000964338634866321237202480079932156088925051205532106779167625931286204797490778463164355608283<99>

Number: n
N=1377953343063888867361555847953490406664022981237860601840080509936130535793226683562589259225081288956302658871730334309254481444965046251228151  ( 145 digits)
SNFS difficulty: 170 digits.
Divisors found:

Wed Jun  8 08:37:15 2022  p47 factor: 13779400550555726682168134226104708526792190997
Wed Jun  8 08:37:15 2022  p99 factor: 100000964338634866321237202480079932156088925051205532106779167625931286204797490778463164355608283
Wed Jun  8 08:37:15 2022  elapsed time 00:13:34 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 19x10^169+62 = 21(168)8
#
n: 1377953343063888867361555847953490406664022981237860601840080509936130535793226683562589259225081288956302658871730334309254481444965046251228151
m: 5000000000000000000000000000000000
deg: 5
c5: 152
c0: 155
skew: 1.00
# Murphy_E = 1.997e-10
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1352672 hash collisions in 12472749 relations (11859102 unique)
Msieve: matrix is 728388 x 728615 (252.9 MB)

Sieving start time : 2022/06/08 07:36:34
Sieving end time  : 2022/06/08 08:23:26

Total sieving time: 0hrs 46min 52secs.

Total relation processing time: 0hrs 7min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 30sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

24858808071071465859527105787925483712059310863441816105335287417519509736487975592307142897536458381201<104>

6085856704402881197397808739670635210475711387239<49>
4084685078616307664555423161871626858052501392854021959<55>

24858808071071465859527105787925483712059310863441816105335287417519509736487975592307142897536458381201=6085856704402881197397808739670635210475711387239*4084685078616307664555423161871626858052501392854021959

cado polynomial
n: 24858808071071465859527105787925483712059310863441816105335287417519509736487975592307142897536458381201
skew: 966.605
c0: -314578832682488476613
c1: -1338623976881699703
c2: 2469619196985769
c3: 1163314146209
c4: -1316435562
c5: -547740
Y0: -55783041358637749344
Y1: 19312577331695101
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 4.036e-06
# f(x) = -547740*x^5-1316435562*x^4+1163314146209*x^3+2469619196985769*x^2-1338623976881699703*x-314578832682488476613
# g(x) = 19312577331695101*x-55783041358637749344

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: 4084685078616307664555423161871626858052501392854021959 6085856704402881197397808739670635210475711387239
Info:Square Root: Total cpu/real time for sqrt: 103.11/29.8645
Info:Filtering - Singleton removal: Total cpu/real time for purge: 16.61/18.123
Info:Generate Free Relations: Total cpu/real time for freerel: 62.8/40.8847
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4594889
Info:Lattice Sieving: Average J: 1902.14 for 35599 special-q, max bucket fill -bkmult 1.0,1s:1.307740
Info:Lattice Sieving: Total time: 5368.15s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.51/1.2383
Info:Linear Algebra: Total cpu/real time for bwc: 497.41/129.74
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 294.21, WCT time 75.57, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6272 iterations)
Info:Linear Algebra: Lingen CPU time 27.92, WCT time 7.14
Info:Linear Algebra: Mksol: CPU time 160.43,  WCT time 41.47, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3072 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.17/17.7819
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 17.6s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 157.53
Info:Polynomial Selection (root optimized): Rootsieve time: 156.91
Info:Filtering - Merging: Merged matrix has 196478 rows and total weight 28649998 (145.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 25.62/7.88917
Info:Filtering - Merging: Total cpu/real time for replay: 6.21/4.9164
Info:Quadratic Characters: Total cpu/real time for characters: 7.22/2.74516
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9452/29.860/36.501/42.270/1.069
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7085/28.820/32.430/37.010/0.882
Info:Polynomial Selection (size optimized): Total time: 516.89
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 38.06/36.4628
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 28.2s
Info:Square Root: Total cpu/real time for sqrt: 103.11/29.8645
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 7977.67/3404.4
Info:root: Cleaning up computation data in /tmp/cado.hga53zdo
4084685078616307664555423161871626858052501392854021959 6085856704402881197397808739670635210475711387239

cado-nfs-3.0.0

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

135240741580241549315562792663018476126928622150685785152449741867325676647092185687985709043403608750979784361228637936510871839<129>

323843730835212080164229700806121207156320014767331334208109<60>
417611115186474973904738848393669426254897757117468815145849739622971<69>

Number: n
N=135240741580241549315562792663018476126928622150685785152449741867325676647092185687985709043403608750979784361228637936510871839  ( 129 digits)
SNFS difficulty: 172 digits.
Divisors found:

Thu Jun  9 17:32:50 2022  p60 factor: 323843730835212080164229700806121207156320014767331334208109
Thu Jun  9 17:32:50 2022  p69 factor: 417611115186474973904738848393669426254897757117468815145849739622971
Thu Jun  9 17:32:50 2022  elapsed time 00:22:24 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 19x10^172+62 = 21(171)8
#
n: 135240741580241549315562792663018476126928622150685785152449741867325676647092185687985709043403608750979784361228637936510871839
m: 10000000000000000000000000000000000
deg: 5
c5: 950
c0: 31
skew: 0.50
# Murphy_E = 1.388e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 29850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1218184 hash collisions in 11554815 relations (11022474 unique)
Msieve: matrix is 1017397 x 1017623 (353.0 MB)

Sieving start time : 2022/06/09 13:56:20
Sieving end time  : 2022/06/09 17:09:45

Total sieving time: 3hrs 13min 25secs.

Total relation processing time: 0hrs 16min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 39sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

11084343517283795808733960245940380312677153300086001408042206678622731150885135064617241105139398864584501115726269131624066977338330441937693342254720261<155>

3837984521084719908625465479289198027<37>

2888063632458594619143733172941530751942801377309407866761952850704008649573122489997496273955936310000863930884511343<118>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1770419760
Step 1 took 6125ms
Step 2 took 3578ms
********** Factor found in step 2: 3837984521084719908625465479289198027
Found prime factor of 37 digits: 3837984521084719908625465479289198027
Composite cofactor 2888063632458594619143733172941530751942801377309407866761952850704008649573122489997496273955936310000863930884511343 has 118 digits
 

GMP-ECM

2888063632458594619143733172941530751942801377309407866761952850704008649573122489997496273955936310000863930884511343<118>

1563626436094211440903803295698224664347<40>
1847029166168806920841558054991192291964896864205752174020182187431107480766269<79>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:978329747
Step 1 took 4766ms
Step 2 took 2891ms
********** Factor found in step 2: 1563626436094211440903803295698224664347
Found prime factor of 40 digits: 1563626436094211440903803295698224664347
Prime cofactor 1847029166168806920841558054991192291964896864205752174020182187431107480766269 has 79 digits
 

GMP-ECM

53125979285331443889873139646976942697712156002233051780859519985668807408255816248108010309482813759430066766900436012970366941492910572573629500957538484443596305521<167>

296788037867834155746726508411014901706267134770818278063<57>
179003101563647049454152906912230092040539503778088747085758986170833804629497725231171981420521676468889363167<111>

Number: n
N=53125979285331443889873139646976942697712156002233051780859519985668807408255816248108010309482813759430066766900436012970366941492910572573629500957538484443596305521  ( 167 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sat Jun  4 08:32:14 2022  p57 factor: 296788037867834155746726508411014901706267134770818278063
Sat Jun  4 08:32:14 2022  p111 factor: 179003101563647049454152906912230092040539503778088747085758986170833804629497725231171981420521676468889363167
Sat Jun  4 08:32:14 2022  elapsed time 00:25:45 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 19x10^176+62 = 21(175)8
#
n: 53125979285331443889873139646976942697712156002233051780859519985668807408255816248108010309482813759430066766900436012970366941492910572573629500957538484443596305521
m: 100000000000000000000000000000000000
deg: 5
c5: 95
c0: 31
skew: 0.80
# Murphy_E = 1.048e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
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: 53/53
Sieved  special-q in [100000, 15915181)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1758176 hash collisions in 13140477 relations (12073060 unique)
Msieve: matrix is 1105624 x 1105849 (384.3 MB)

Sieving start time : 2022/06/04 06:38:21
Sieving end time  : 2022/06/04 08:06:06

Total sieving time: 1hrs 27min 45secs.

Total relation processing time: 0hrs 20min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 22sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

3415313883175003804925235188538716958903585369925902984678765834897680293993016390015267<88>

57042070273336777168027405601230288509259<41>
59873596221338881571525746486864467144280191113<47>

Sun May 29 22:57:49 2022  Msieve v. 1.53 (SVN 1005)
Sun May 29 22:57:49 2022  random seeds: ef69430c c6a9963b
Sun May 29 22:57:49 2022  factoring 3415313883175003804925235188538716958903585369925902984678765834897680293993016390015267 (88 digits)
Sun May 29 22:57:50 2022  searching for 15-digit factors
Sun May 29 22:57:50 2022  commencing quadratic sieve (88-digit input)
Sun May 29 22:57:50 2022  using multiplier of 2
Sun May 29 22:57:50 2022  using generic 32kb sieve core
Sun May 29 22:57:50 2022  sieve interval: 25 blocks of size 32768
Sun May 29 22:57:50 2022  processing polynomials in batches of 9
Sun May 29 22:57:50 2022  using a sieve bound of 1509509 (57667 primes)
Sun May 29 22:57:50 2022  using large prime bound of 120760720 (26 bits)
Sun May 29 22:57:50 2022  using double large prime bound of 352749308763200 (42-49 bits)
Sun May 29 22:57:50 2022  using trial factoring cutoff of 49 bits
Sun May 29 22:57:50 2022  polynomial 'A' values have 11 factors
Sun May 29 23:13:28 2022  57918 relations (15977 full + 41941 combined from 606019 partial), need 57763
Sun May 29 23:13:29 2022  begin with 621996 relations
Sun May 29 23:13:29 2022  reduce to 139301 relations in 10 passes
Sun May 29 23:13:29 2022  attempting to read 139301 relations
Sun May 29 23:13:29 2022  recovered 139301 relations
Sun May 29 23:13:29 2022  recovered 115825 polynomials
Sun May 29 23:13:29 2022  attempting to build 57918 cycles
Sun May 29 23:13:29 2022  found 57918 cycles in 5 passes
Sun May 29 23:13:29 2022  distribution of cycle lengths:
Sun May 29 23:13:29 2022     length 1 : 15977
Sun May 29 23:13:29 2022     length 2 : 11342
Sun May 29 23:13:29 2022     length 3 : 10118
Sun May 29 23:13:29 2022     length 4 : 7680
Sun May 29 23:13:29 2022     length 5 : 5209
Sun May 29 23:13:29 2022     length 6 : 3428
Sun May 29 23:13:29 2022     length 7 : 1931
Sun May 29 23:13:29 2022     length 9+: 2233
Sun May 29 23:13:29 2022  largest cycle: 19 relations
Sun May 29 23:13:29 2022  matrix is 57667 x 57918 (14.7 MB) with weight 3379637 (58.35/col)
Sun May 29 23:13:29 2022  sparse part has weight 3379637 (58.35/col)
Sun May 29 23:13:30 2022  filtering completed in 3 passes
Sun May 29 23:13:30 2022  matrix is 53249 x 53313 (13.6 MB) with weight 3143445 (58.96/col)
Sun May 29 23:13:30 2022  sparse part has weight 3143445 (58.96/col)
Sun May 29 23:13:30 2022  saving the first 48 matrix rows for later
Sun May 29 23:13:30 2022  matrix includes 64 packed rows
Sun May 29 23:13:30 2022  matrix is 53201 x 53313 (9.4 MB) with weight 2508547 (47.05/col)
Sun May 29 23:13:30 2022  sparse part has weight 1932434 (36.25/col)
Sun May 29 23:13:30 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun May 29 23:13:30 2022  commencing Lanczos iteration
Sun May 29 23:13:30 2022  memory use: 5.7 MB
Sun May 29 23:13:34 2022  lanczos halted after 843 iterations (dim = 53201)
Sun May 29 23:13:34 2022  recovered 18 nontrivial dependencies
Sun May 29 23:13:34 2022  p41 factor: 57042070273336777168027405601230288509259
Sun May 29 23:13:34 2022  p47 factor: 59873596221338881571525746486864467144280191113
Sun May 29 23:13:34 2022  elapsed time 00:15:45

Msieve 1.53

Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

41477963007640382153279555539901165367635209061485381499695962525252186031828490468769243822758181925551407579024307798541<122>

806745090839250105700816597874770549441<39>
51413963938090044630751347732082268159611091180434063938891958640164005671351105101<83>

Step 1 took 17859ms
Step 2 took 9266ms
********** Factor found in step 2: 806745090839250105700816597874770549441
Found prime factor of 39 digits: 806745090839250105700816597874770549441
Prime cofactor 51413963938090044630751347732082268159611091180434063938891958640164005671351105101 has 83 digits
 

GMP-ECM

104322123770638746826280924977881012662175086240480111210652225214861876474233352786548426559070731025605984173909713186084066286916419402246779605247617<153>

3315009353962432705469208261117420104903728759<46>
31469631796345445772986438169782786375412806295161598058154435035202794050151533634713619185693621657176263<107>

Number: 21118_180
N = 104322123770638746826280924977881012662175086240480111210652225214861876474233352786548426559070731025605984173909713186084066286916419402246779605247617 (153 digits)
SNFS difficulty: 182 digits.
Divisors found:
r1=3315009353962432705469208261117420104903728759 (pp46)
r2=31469631796345445772986438169782786375412806295161598058154435035202794050151533634713619185693621657176263 (pp107)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 11.09 hours.
Factorization parameters were as follows:
n: 104322123770638746826280924977881012662175086240480111210652225214861876474233352786548426559070731025605984173909713186084066286916419402246779605247617
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 3
c3: 19
c0: 62
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
maxa: 800000000
maxb: 800000000
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 19332282
Relations: 4769980 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 2.34 hours.
Total relation processing time: 0.37 hours.
Pruned matrix : 3641666 x 3641914
Matrix solve time: 8.32 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,182,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 11.09 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

164620972954900353339510501408399138444527929804813088541530664833253432378044238829730089549494485122026933748287701448005904826068818605541381429856286601079834217946658587<174>

158916069407259819862986846683602561626636597434052068287174162284943957<72>
1035898846283571083084036269488390315206121800901297748320348620788106939671486899247480909244144540591<103>

Number: n
N=164620972954900353339510501408399138444527929804813088541530664833253432378044238829730089549494485122026933748287701448005904826068818605541381429856286601079834217946658587  ( 174 digits)
SNFS difficulty: 181 digits.
Divisors found:

Sun Jun 12 18:32:11 2022  p72 factor: 158916069407259819862986846683602561626636597434052068287174162284943957
Sun Jun 12 18:32:11 2022  p103 factor: 1035898846283571083084036269488390315206121800901297748320348620788106939671486899247480909244144540591
Sun Jun 12 18:32:11 2022  elapsed time 00:22:43 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 19x10^181+62 = 21(180)8
#
n: 164620972954900353339510501408399138444527929804813088541530664833253432378044238829730089549494485122026933748287701448005904826068818605541381429856286601079834217946658587
m: 1000000000000000000000000000000000000
deg: 5
c5: 95
c0: 31
skew: 0.80
# Murphy_E = 6.589e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3463196 hash collisions in 28975215 relations (27168734 unique)
Msieve: matrix is 967411 x 967637 (331.3 MB)

Sieving start time : 2022/06/12 14:38:23
Sieving end time  : 2022/06/12 18:08:34

Total sieving time: 3hrs 30min 11secs.

Total relation processing time: 0hrs 14min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 0sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

105555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<183>

617306420180933824609343727009362019673632004545263694217566030798038520021103<78>
170993775708046253159502949632681270443276351725730655608158818951594678137389711718239384802566173055753<105>

Number: n
N=105555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559  ( 183 digits)
SNFS difficulty: 182 digits.
Divisors found:

Sat Jun 11 17:49:28 2022  p78 factor: 617306420180933824609343727009362019673632004545263694217566030798038520021103
Sat Jun 11 17:49:28 2022  p105 factor: 170993775708046253159502949632681270443276351725730655608158818951594678137389711718239384802566173055753
Sat Jun 11 17:49:28 2022  elapsed time 00:24:38 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 19x10^182+62 = 21(181)8
#
n: 105555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559
m: 1000000000000000000000000000000000000
deg: 5
c5: 950
c0: 31
skew: 0.50
# Murphy_E = 5.504e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3562554 hash collisions in 28785130 relations (26832659 unique)
Msieve: matrix is 983748 x 983975 (338.0 MB)

Sieving start time : 2022/06/11 13:40:01
Sieving end time  : 2022/06/11 17:24:20

Total sieving time: 3hrs 44min 19secs.

Total relation processing time: 0hrs 15min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 15sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

10555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<185>

10869976578925103729601437035620089<35>
971074360548379375072092195449694981592687092962436257050612469398672023778480613942559656101160755609132015741309373945180446010734374185956377835231<150>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1045283748
Step 1 took 8563ms
Step 2 took 4250ms
********** Factor found in step 2: 10869976578925103729601437035620089
Found prime factor of 35 digits: 10869976578925103729601437035620089
Prime cofactor 971074360548379375072092195449694981592687092962436257050612469398672023778480613942559656101160755609132015741309373945180446010734374185956377835231 has 150 digits
 

GMP-ECM

560582018399238173055934272143724631752669079636614349657413988897930061091104082339242193894975658162323349934723722523471073535048452092950032115867265662434998327<165>

1629289961269618122575081431854105071432308061469527979808595914603<67>
344065225788543327822944665085793459954240977905345854815295507730803948477581196646072775064062309<99>

Number: n
N=560582018399238173055934272143724631752669079636614349657413988897930061091104082339242193894975658162323349934723722523471073535048452092950032115867265662434998327  ( 165 digits)
SNFS difficulty: 186 digits.
Divisors found:

Thu Jul 21 18:49:06 2022  p67 factor: 1629289961269618122575081431854105071432308061469527979808595914603
Thu Jul 21 18:49:06 2022  p99 factor: 344065225788543327822944665085793459954240977905345854815295507730803948477581196646072775064062309
Thu Jul 21 18:49:06 2022  elapsed time 00:28:41 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 19x10^185+62 = 21(184)8
#
n: 560582018399238173055934272143724631752669079636614349657413988897930061091104082339242193894975658162323349934723722523471073535048452092950032115867265662434998327
m: 10000000000000000000000000000000000000
deg: 5
c5: 19
c0: 62
skew: 1.27
# Murphy_E = 5.507e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3105928 hash collisions in 28780303 relations (27410514 unique)
Msieve: matrix is 1044874 x 1045101 (361.1 MB)

Sieving start time : 2022/07/21 15:35:39
Sieving end time  : 2022/07/21 18:19:58

Total sieving time: 2hrs 44min 19secs.

Total relation processing time: 0hrs 17min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 19sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119387] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153505] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798328)
[    0.152037] smpboot: Total of 16 processors activated (102386.62 BogoMIPS)

570671872308659113928836691869832210938913739798325913972429633033495017617746054204331135665266225345646102443116956342655220702616555954792725045737586465357311396341<168>

17086662966402398807805543641929275641556029315048321647583036989<65>
33398673189187052854473728703903706650438010825640260032740567184981293052340517148326659062801757586969<104>

Number: n
N=570671872308659113928836691869832210938913739798325913972429633033495017617746054204331135665266225345646102443116956342655220702616555954792725045737586465357311396341  ( 168 digits)
SNFS difficulty: 186 digits.
Divisors found:

Thu Jun 30 04:40:43 2022  p65 factor: 17086662966402398807805543641929275641556029315048321647583036989
Thu Jun 30 04:40:43 2022  p104 factor: 33398673189187052854473728703903706650438010825640260032740567184981293052340517148326659062801757586969
Thu Jun 30 04:40:43 2022  elapsed time 00:32:29 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 19x10^186+62 = 21(185)8
#
n: 570671872308659113928836691869832210938913739798325913972429633033495017617746054204331135665266225345646102443116956342655220702616555954792725045737586465357311396341
m: 10000000000000000000000000000000000000
deg: 5
c5: 95
c0: 31
skew: 0.80
# Murphy_E = 4.124e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3405032 hash collisions in 28536716 relations (26757752 unique)
Msieve: matrix is 1186888 x 1187113 (410.3 MB)

Sieving start time : 2022/06/29 23:39:35
Sieving end time  : 2022/06/30 04:07:22

Total sieving time: 4hrs 27min 47secs.

Total relation processing time: 0hrs 23min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 23sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

75529750105468690089533438945033389326934791316445338454290070655303026948557615182947712385169814715215800915899821316619<122>

630729572984149564750272962629498000841<39>
119749815674754760213301251227132670091339970487682855596790944350208704647602187059<84>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3321812826
Step 1 took 17687ms
Step 2 took 9391ms
********** Factor found in step 2: 630729572984149564750272962629498000841
Found prime factor of 39 digits: 630729572984149564750272962629498000841
Prime cofactor 119749815674754760213301251227132670091339970487682855596790944350208704647602187059 has 84 digits
 

GMP-ECM

401777757394877099352857555450711491433383518532906074502846052838950905199578805192137081133161340046502226203003244581896247176363527<135>

104363734565436939156062705264339103365309331883380962260159279253<66>
3849783251508301161452588738508396599147191478913423317442995749929259<70>

401777757394877099352857555450711491433383518532906074502846052838950905199578805192137081133161340046502226203003244581896247176363527=104363734565436939156062705264339103365309331883380962260159279253*3849783251508301161452588738508396599147191478913423317442995749929259

cado polynomial
n: 401777757394877099352857555450711491433383518532906074502846052838950905199578805192137081133161340046502226203003244581896247176363527
skew: 222605.66
c0: 861587627546327845315312990830
c1: 333957683729216095073568491
c2: -481240196438078621364
c3: -8736523587556817
c4: 20436989100
c5: 33840
Y0: -142241118888263264379704412
Y1: 65903954536190490829
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.338e-07
# f(x) = 33840*x^5+20436989100*x^4-8736523587556817*x^3-481240196438078621364*x^2+333957683729216095073568491*x+861587627546327845315312990830
# g(x) = 65903954536190490829*x-142241118888263264379704412

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: 3849783251508301161452588738508396599147191478913423317442995749929259 104363734565436939156062705264339103365309331883380962260159279253
Info:Square Root: Total cpu/real time for sqrt: 454.86/136.34
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 187.82/159.236
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 147.60000000000002s
Info:Square Root: Total cpu/real time for sqrt: 454.86/136.34
Info:Filtering - Singleton removal: Total cpu/real time for purge: 88.81/96.7683
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17020967
Info:Lattice Sieving: Average J: 3801.31 for 622686 special-q, max bucket fill -bkmult 1.0,1s:1.167930
Info:Lattice Sieving: Total time: 207136s
Info:Generate Factor Base: Total cpu/real time for makefb: 14.62/3.90774
Info:Linear Algebra: Total cpu/real time for bwc: 27581.9/7086.82
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 17552.59, WCT time 4495.73, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41728 iterations)
Info:Linear Algebra: Lingen CPU time 256.02, WCT time 65.02
Info:Linear Algebra: Mksol: CPU time 9544.47,  WCT time 2441.81, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20992 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 250.27/63.2154
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 76.63/85.0433
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 85.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7318.49
Info:Polynomial Selection (root optimized): Rootsieve time: 7316.04
Info:Filtering - Merging: Merged matrix has 1328421 rows and total weight 226981083 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 345.93/95.976
Info:Filtering - Merging: Total cpu/real time for replay: 48.84/42.6594
Info:Quadratic Characters: Total cpu/real time for characters: 45.15/18.5653
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): 54231/39.340/48.377/53.470/0.961
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44469/38.910/43.219/49.000/1.076
Info:Polynomial Selection (size optimized): Total time: 11402
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 435621/117064
Info:root: Cleaning up computation data in /tmp/cado.2vse609k
3849783251508301161452588738508396599147191478913423317442995749929259 104363734565436939156062705264339103365309331883380962260159279253

cado-nfs-3.0.0

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

6038939962111182135401844446098478316172159804056612786417943452726545477092371441313864324864915110907007653949568125844287509558132225031473524807269297062366554921485929870603887703<184>

38070828137942513804679463470568302616817<41>
158623814019233164046310364091829714898453609017416288646473077344486369727410999743439539181516250333104934034236932477230325038794409483311559<144>

Number: n
N=6038939962111182135401844446098478316172159804056612786417943452726545477092371441313864324864915110907007653949568125844287509558132225031473524807269297062366554921485929870603887703  ( 184 digits)
SNFS difficulty: 191 digits.
Divisors found:

Thu Jun 23 16:04:40 2022  p41 factor: 38070828137942513804679463470568302616817
Thu Jun 23 16:04:40 2022  p144 factor: 158623814019233164046310364091829714898453609017416288646473077344486369727410999743439539181516250333104934034236932477230325038794409483311559
Thu Jun 23 16:04:40 2022  elapsed time 00:50:48 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 19x10^191+62 = 21(190)8
#
n: 6038939962111182135401844446098478316172159804056612786417943452726545477092371441313864324864915110907007653949568125844287509558132225031473524807269297062366554921485929870603887703
m: 100000000000000000000000000000000000000
deg: 5
c5: 95
c0: 31
skew: 0.80
# Murphy_E = 2.57e-11
type: snfs
lss: 1
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 25550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3614465 hash collisions in 27851294 relations (25729088 unique)
Msieve: matrix is 1480424 x 1480649 (513.3 MB)

Sieving start time : 2022/06/23 08:45:50
Sieving end time  : 2022/06/23 15:13:24

Total sieving time: 6hrs 27min 34secs.

Total relation processing time: 0hrs 41min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 53sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

130247487782742368859395755729877591259454688664484116826801281845718611096387804203376390567776677079837400056789716478147592780155824730063336734048030239<156>

5968573717064840134919148894684821029295746291695726248075567239<64>
21822213137847286743212945408726754052943430206599793344073580271948041981315510062774617001<92>

Number: n
N=130247487782742368859395755729877591259454688664484116826801281845718611096387804203376390567776677079837400056789716478147592780155824730063336734048030239  ( 156 digits)
SNFS difficulty: 193 digits.
Divisors found:

Sat Nov  5 11:04:31 2022  p64 factor: 5968573717064840134919148894684821029295746291695726248075567239
Sat Nov  5 11:04:31 2022  p92 factor: 21822213137847286743212945408726754052943430206599793344073580271948041981315510062774617001
Sat Nov  5 11:04:31 2022  elapsed time 00:46:44 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.356).
Factorization parameters were as follows:
#
# N = 19x10^193+62 = 21(192)8
#
n: 130247487782742368859395755729877591259454688664484116826801281845718611096387804203376390567776677079837400056789716478147592780155824730063336734048030239
m: 100000000000000000000000000000000
deg: 6
c6: 95
c0: 31
skew: 0.83
# Murphy_E = 2.143e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 26000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2094131 hash collisions in 15305758 relations (14284710 unique)
Msieve: matrix is 1444329 x 1444554 (506.8 MB)

Sieving start time : 2022/11/05 03:31:29
Sieving end time  : 2022/11/05 10:17:17

Total sieving time: 6hrs 45min 48secs.

Total relation processing time: 0hrs 38min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 3sec.

Prototype def-par.txt line would be:
snfs,193,6,0,0,0,0,0,0,0,0,12000000,12000000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2719500859424257043709493878743654415657812195095624439718282234686832355355591988166134172347424172354540792481109958589382700988442732964823107300722058179<157>

5482855322111977768191303303078338054257577408387902900135782535211342671<73>
496000842564037289098135897617167758187608853979885101162566022455451118776138646349<84>

Number: n
N=2719500859424257043709493878743654415657812195095624439718282234686832355355591988166134172347424172354540792481109958589382700988442732964823107300722058179  ( 157 digits)
SNFS difficulty: 195 digits.
Divisors found:

Wed Sep 28 14:38:51 2022  p73 factor: 5482855322111977768191303303078338054257577408387902900135782535211342671
Wed Sep 28 14:38:51 2022  p84 factor: 496000842564037289098135897617167758187608853979885101162566022455451118776138646349
Wed Sep 28 14:38:51 2022  elapsed time 01:05:34 (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 = 19x10^194+62 = 21(193)8
#
n: 2719500859424257043709493878743654415657812195095624439718282234686832355355591988166134172347424172354540792481109958589382700988442732964823107300722058179
m: 500000000000000000000000000000000000000
deg: 5
c5: 152
c0: 155
skew: 1.00
# Murphy_E = 1.933e-11
type: snfs
lss: 1
rlim: 12800000
alim: 12800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12800000/12800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3471498 hash collisions in 28534172 relations (26668211 unique)
Msieve: matrix is 1663777 x 1664002 (579.0 MB)

Sieving start time : 2022/09/28 05:28:12
Sieving end time  : 2022/09/28 13:32:21

Total sieving time: 8hrs 4min 9secs.

Total relation processing time: 0hrs 53min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 16sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12800000,12800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

55467066483408413822810717584664586253093037739952650419704984204186107766840964299580387355908435826260269834593298836335059759434205052286439888660710590215246880026106756814409738513<185>

10898028447962399711689310869007382174954103306842211<53>
1584065319863424035775732233494399604247502089140913651175877719<64>
3213025515893519617533083202929740294874410560403267250823276317032957<70>

Number: n
N=55467066483408413822810717584664586253093037739952650419704984204186107766840964299580387355908435826260269834593298836335059759434205052286439888660710590215246880026106756814409738513  ( 185 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sat Jul 23 11:05:49 2022  found factor: 3213025515893519617533083202929740294874410560403267250823276317032957
Sat Jul 23 11:07:47 2022  p53 factor: 10898028447962399711689310869007382174954103306842211
Sat Jul 23 11:07:47 2022  p64 factor: 1584065319863424035775732233494399604247502089140913651175877719
Sat Jul 23 11:07:47 2022  p70 factor: 3213025515893519617533083202929740294874410560403267250823276317032957
Sat Jul 23 11:07:47 2022  elapsed time 01:04:11 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 19x10^195+62 = 21(194)8
#
n: 55467066483408413822810717584664586253093037739952650419704984204186107766840964299580387355908435826260269834593298836335059759434205052286439888660710590215246880026106756814409738513
m: 1000000000000000000000000000000000000000
deg: 5
c5: 19
c0: 62
skew: 1.27
# Murphy_E = 2.131e-11
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3491632 hash collisions in 28764244 relations (26896865 unique)
Msieve: matrix is 1611832 x 1612057 (562.5 MB)

Sieving start time : 2022/07/23 04:18:00
Sieving end time  : 2022/07/23 10:02:48

Total sieving time: 5hrs 44min 48secs.

Total relation processing time: 0hrs 52min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 57sec.

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

9685973111359678294324409801330474541411279418201379011868475219282927524552266115791742302255007098494096789757369<115>

357551586003182835598763573119665625389227<42>
27089722128301386313453071473896032738242799009450954590614398003527183147<74>

9685973111359678294324409801330474541411279418201379011868475219282927524552266115791742302255007098494096789757369=357551586003182835598763573119665625389227*27089722128301386313453071473896032738242799009450954590614398003527183147

cado polynomial
n: 9685973111359678294324409801330474541411279418201379011868475219282927524552266115791742302255007098494096789757369
skew: 24152.447
c0: 54982143040531389898765602
c1: -836418183523365644038
c2: -686537995374185039
c3: -24400012829541
c4: 878293038
c5: 3600
Y0: -27642075190706644152702
Y1: 36215039039707
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.089e-06
# f(x) = 3600*x^5+878293038*x^4-24400012829541*x^3-686537995374185039*x^2-836418183523365644038*x+54982143040531389898765602
# g(x) = 36215039039707*x-27642075190706644152702

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: 357551586003182835598763573119665625389227 27089722128301386313453071473896032738242799009450954590614398003527183147
Info:Square Root: Total cpu/real time for sqrt: 137.84/41.6002
Info:Quadratic Characters: Total cpu/real time for characters: 16.56/6.47595
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 121.47/157.172
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 121.59999999999997s
Info:Square Root: Total cpu/real time for sqrt: 137.84/41.6002
Info:Linear Algebra: Total cpu/real time for bwc: 2743.32/771.76
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1696.56, WCT time 488.33, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14080 iterations)
Info:Linear Algebra: Lingen CPU time 68.57, WCT time 17.48
Info:Linear Algebra: Mksol: CPU time 939.04,  WCT time 242.05, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7040 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.62/125.562
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7099010
Info:Lattice Sieving: Average J: 1892.91 for 144163 special-q, max bucket fill -bkmult 1.0,1s:1.257180
Info:Lattice Sieving: Total time: 31181.1s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.23/3.40313
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.31/37.6218
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 36.6s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 341.65
Info:Polynomial Selection (root optimized): Rootsieve time: 340.5
Info:Generate Free Relations: Total cpu/real time for freerel: 63.71/43.1442
Info:Filtering - Merging: Merged matrix has 449700 rows and total weight 69910191 (155.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 78.31/33.7386
Info:Filtering - Merging: Total cpu/real time for replay: 18.22/17.8059
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): 21566/34.000/41.028/46.130/1.085
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16833/32.270/36.297/41.460/0.828
Info:Polynomial Selection (size optimized): Total time: 1782.98
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 35477.2/17797.2
Info:root: Cleaning up computation data in /tmp/cado.ixuknvyh
357551586003182835598763573119665625389227 27089722128301386313453071473896032738242799009450954590614398003527183147

cado-nfs-3.0.0

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

1481345436732535323359326881460582472927352709168219762322220426390602286354500438547223498958025018196665183453756961119342244284121397130432518448457554150847<160>

37311288404041030858440133584967727034397126362082389221<56>
39702339428517213696014431995506461828765494928834386900620411972757285671739579352155925771347639460307<104>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1481345436732535323359326881460582472927352709168219762322220426390602286354500438547223498958025018196665183453756961119342244284121397130432518448457554150847 (160 digits)
Using B1=51060000, B2=288592384096, polynomial Dickson(12), sigma=1:3416034651
Step 1 took 125033ms
Step 2 took 41471ms
********** Factor found in step 2: 37311288404041030858440133584967727034397126362082389221
Found prime factor of 56 digits: 37311288404041030858440133584967727034397126362082389221
Prime cofactor 39702339428517213696014431995506461828765494928834386900620411972757285671739579352155925771347639460307 has 104 digits

10555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<209>

5759680091468614469992559090151647338587903417229212562633021594551639008926620412862126621408777641840813947451868818676804632368458203598458251135523750533784974452376663755159812389167369<190>

401199374973605304278052282613286034038599603023776341906330503821951940538029477596182271210777482157185691963343046581359010093331644072807128679420583639511803707926855019215338485577938257527767219899489<207>

5305010822959483403841860963737228200122625562957674162313777145945218604198999615716869278412131939273401847267586843733133260504434080334250958383406382643426840620617260334127665485663<187>

535356535751375297718395080841151869295414728349213705652970625689761863971227142834278104784593588076058371955078776287762601944064763172988093332793359909242836779735299508694988560636371216788507<198>

44014604836469000017056230895922398470188515965702163935267778004963389063608555280543334397273324286889315720390162652346119937554890292433506996090334345323463229820365717<173>

766256388741658538608288501677853443782370783595129999850596789803399397816403708987580425980279200908272981817730501762478101247946194367692085432708864956895851392232433525781896801749306182420733<198>

77482731871589112180574817845038141079321220746043774857803873000546489943444991763265525690002194915563815044704791527636073438670015661034784170194676637<155>

5909852778462868052140836226885724698068611107901261777151893088012782619310176845537212979959388078485112948217619938673476347048309782700901177290038732863392008470323432664433310075466864292964555069<202>

32797933229041698651941154180405125232880470735919414594074573672095475037<74>
180189792362582481331197665210955206488561910822671874296944187337509953768227169396741973602077319705176179215304077884669175137<129>

Number: 21118_221
N = 5909852778462868052140836226885724698068611107901261777151893088012782619310176845537212979959388078485112948217619938673476347048309782700901177290038732863392008470323432664433310075466864292964555069 (202 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=32797933229041698651941154180405125232880470735919414594074573672095475037 (pp74)
r2=180189792362582481331197665210955206488561910822671874296944187337509953768227169396741973602077319705176179215304077884669175137 (pp129)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 44.91 hours.
Factorization parameters were as follows:
n: 5909852778462868052140836226885724698068611107901261777151893088012782619310176845537212979959388078485112948217619938673476347048309782700901177290038732863392008470323432664433310075466864292964555069
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 95
c0: 31
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30038637
Relations: 7881792 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 20.15 hours.
Total relation processing time: 0.33 hours.
Pruned matrix : 6786299 x 6786524
Matrix solve time: 24.06 hours.
time per square root: 0.37 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 44.91 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_Factory, Msieve

27350091591283558618218002212798853634057165129748020085243804158074336379499555269095902661506009915805241258214356687385806531123487875782047046584672760485177208037306106039346549984672194507069<197>

87815712287387104105165612177746798263528417788850787544826142065884557854963097539714330621894506026581818405651931583763357951614645942685300694666335752332736734157989336404309763256660346397270846327863<206>

643307526805673827215876182344321127216065039736936643791186670870522502536040849668496037664107068567684873037697715395197672430802216046241395163792634170109421565981969691988645600353118547164316892955779241<210>

104294337999587970732223549764402041466252323604732503230502736097037927803956294366620205863924756965330149317470092060840772644391177236092633<144>

15580264943527811925504539347488809<35>
6694002854098627903959955849542774698181274071538120127473878281438768336139757390031198269924528445196396337<109>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:343414317
Step 1 took 5938ms
Step 2 took 3437ms
********** Factor found in step 2: 15580264943527811925504539347488809
Found prime factor of 35 digits: 15580264943527811925504539347488809
Prime cofactor 6694002854098627903959955849542774698181274071538120127473878281438768336139757390031198269924528445196396337 has 109 digits
 

GMP-ECM

12698378021338282246802833459396815308011797135369694155007306693496976020956376522804028620042812701799365378641980196403620714991317323627345469451235971428451624626006200928095577478008638166552682683868707577250352117<221>

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11584453479100531739810673610698071813<38>

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GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/params.h
Running on sethtroisi-linux.sea.corp.google.com
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Fri Dec  1 15:04:48 2023
Input number is 2467331613514473116978756237407645177394087443975399898057696249347752622604654306210587358667116724092922105725714724062514007558920618342291862145557758734764239655428192358209256428241570340591321619091640786843109282056821482178861710257573765427896443181448784967 (268 digits)
[Fri Dec 29 01:00:59 2023]
Using mpz_mod
Using lmax = 16777216 with NTT which takes about 6336MB of memory
Using B1=10000000000-10000000000, B2=10120522433628702, polynomial x^1
P = 596530935, l = 16777216, s_1 = 8294400, k = s_2 = 24, m_1 = 3
Probability of finding a factor of n digits (assuming one exists):
20        25      30      35      40      45      50      55      60      65
0.82    0.55    0.3     0.14    0.056   0.02    0.0064  0.0019  0.00052 0.00013
Step 1 took 0ms
Computing F from factored S_1 took 58019ms
Computing h took 8240ms
Computing DCT-I of h took 16424ms
Multi-point evaluation 1 of 24:
Computing g_i took 27084ms
Computing g*h took 32749ms
Computing gcd of coefficients and N took 8505ms
Step 2 took 151625ms
********** Factor found in step 2: 11584453479100531739810673610698071813
Found prime factor of 38 digits: 11584453479100531739810673610698071813
Composite cofactor 212986449293078577580709816190857372030763815060685540022343444100821463824105131329216760120226891871909826820282477294852149180268536202734109268249307267757076223632731232043056505636116868224498228741150765909950832708174596059 has 231 digits
Peak memory usage: 6388MB

GMP-ECM 7.0.6, ecm-db 0.1

1080 Ti for PM1 stage1

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