14139788700341597277422588105483334915276975765414280761865906289912956700359613029449998609119<95>

2114888762365910027230082009000669482799<40>
6685830929719217402448566583846596966220378825254777681<55>

14139788700341597277422588105483334915276975765414280761865906289912956700359613029449998609119=2114888762365910027230082009000669482799*6685830929719217402448566583846596966220378825254777681

cado polynomial
n: 14139788700341597277422588105483334915276975765414280761865906289912956700359613029449998609119
skew: 0.33
type: snfs
c0: 2
c4: 175
Y0: 100000000000000000000000000
Y1: -1
# f(x) = 175*x^4+2
# g(x) = -x+100000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 410000
tasks.lim1 = 410000
tasks.lpb0 = 25
tasks.lpb1 = 25
tasks.sieve.mfb0 = 44
tasks.sieve.mfb1 = 44
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: 6685830929719217402448566583846596966220378825254777681 2114888762365910027230082009000669482799
Info:Square Root: Total cpu/real time for sqrt: 6.37/3.74879
Info:Filtering - Singleton removal: Total cpu/real time for purge: 32.48/50.6357
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3519821
Info:Lattice Sieving: Average J: 1883.4 for 7616 special-q, max bucket fill -bkmult 1.0,1s:1.389310
Info:Lattice Sieving: Total time: 2033.78s
Info:Linear Algebra: Total cpu/real time for bwc: 20.17/10.88
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7.78, WCT time 5.15, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1088 iterations)
Info:Linear Algebra: Lingen CPU time 5.71, WCT time 2.38
Info:Linear Algebra: Mksol: CPU time 4.52,  WCT time 2.02, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (512 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 18.47/14.3989
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.62/21.2158
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.1s
Info:Filtering - Merging: Merged matrix has 33305 rows and total weight 5671092 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 13.11/6.75264
Info:Filtering - Merging: Total cpu/real time for replay: 1.09/0.91429
Info:Generate Factor Base: Total cpu/real time for makefb: 0.22/0.341288
Info:Quadratic Characters: Total cpu/real time for characters: 1.03/0.408536
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 24.05/39.8748
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 33.3s
Info:Square Root: Total cpu/real time for sqrt: 6.37/3.74879
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2025.86/1436.31
Info:root: Cleaning up computation data in /tmp/cado.ovxcciqv
6685830929719217402448566583846596966220378825254777681 2114888762365910027230082009000669482799

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)

346642816965797293973162925708498350086145095830597814913756398382982599927103281645707736918039867<99>

502952284327805885637491177638738639772118419<45>
689216110091008547063588339776277955299857740299115193<54>

346642816965797293973162925708498350086145095830597814913756398382982599927103281645707736918039867=502952284327805885637491177638738639772118419*689216110091008547063588339776277955299857740299115193

cado polynomial
n: 346642816965797293973162925708498350086145095830597814913756398382982599927103281645707736918039867
skew: 0.58
type: snfs
c0: 4
c4: 35
Y0: 1000000000000000000000000000
Y1: -1
# f(x) = 35*x^4+4
# g(x) = -x+1000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 470000
tasks.lim1 = 470000
tasks.lpb0 = 25
tasks.lpb1 = 25
tasks.sieve.mfb0 = 44
tasks.sieve.mfb1 = 44
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: 689216110091008547063588339776277955299857740299115193 502952284327805885637491177638738639772118419
Info:Square Root: Total cpu/real time for sqrt: 3.58/2.68273
Info:Filtering - Singleton removal: Total cpu/real time for purge: 34.32/48.4265
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3727384
Info:Lattice Sieving: Average J: 1882.55 for 8349 special-q, max bucket fill -bkmult 1.0,1s:1.362740
Info:Lattice Sieving: Total time: 2213.71s
Info:Linear Algebra: Total cpu/real time for bwc: 44.1/41.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7.48, WCT time 8.85, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1088 iterations)
Info:Linear Algebra: Lingen CPU time 30.93, WCT time 26.17
Info:Linear Algebra: Mksol: CPU time 3.82,  WCT time 4.68, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (512 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 12.3/16.3097
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 16.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 18.51/14.4873
Info:Filtering - Merging: Merged matrix has 33353 rows and total weight 5674499 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 20.88/18.1909
Info:Filtering - Merging: Total cpu/real time for replay: 1.09/1.26368
Info:Generate Factor Base: Total cpu/real time for makefb: 0.25/0.342692
Info:Quadratic Characters: Total cpu/real time for characters: 1.05/0.960002
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 25.33/41.1798
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 32.5s
Info:Square Root: Total cpu/real time for sqrt: 3.58/2.68273
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2213.87/1562.68
Info:root: Cleaning up computation data in /tmp/cado.csfj73vb
689216110091008547063588339776277955299857740299115193 502952284327805885637491177638738639772118419

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)

6978641449126461516939714985902745493253169080837950601905831089600412561331291901258683722944903745393<103>

54164925712233948147743754215943079206324347213<47>
128840598549002206329380284125914747265846941562230215861<57>

6978641449126461516939714985902745493253169080837950601905831089600412561331291901258683722944903745393=54164925712233948147743754215943079206324347213*128840598549002206329380284125914747265846941562230215861

cado polynomial
n: 6978641449126461516939714985902745493253169080837950601905831089600412561331291901258683722944903745393
skew: 0.33
type: snfs
c0: 2
c4: 175
Y0: 1000000000000000000000000000
Y1: -1
# f(x) = 175*x^4+2
# g(x) = -x+1000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 480000
tasks.lim1 = 480000
tasks.lpb0 = 25
tasks.lpb1 = 25
tasks.sieve.mfb0 = 44
tasks.sieve.mfb1 = 44
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: 128840598549002206329380284125914747265846941562230215861 54164925712233948147743754215943079206324347213
Info:Square Root: Total cpu/real time for sqrt: 4.48/4.33072
Info:Filtering - Singleton removal: Total cpu/real time for purge: 30.63/42.244
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3462342
Info:Lattice Sieving: Average J: 1889.1 for 11079 special-q, max bucket fill -bkmult 1.0,1s:1.355680
Info:Lattice Sieving: Total time: 2620.54s
Info:Linear Algebra: Total cpu/real time for bwc: 51.25/51.53
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9.52, WCT time 11.63, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1216 iterations)
Info:Linear Algebra: Lingen CPU time 33.97, WCT time 31.01
Info:Linear Algebra: Mksol: CPU time 5.3,  WCT time 6.24, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (576 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 18.44/14.4486
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.67/19.6097
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 23.79/40.9043
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 33.5s
Info:Filtering - Merging: Merged matrix has 37410 rows and total weight 6360191 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 19.06/17.2597
Info:Filtering - Merging: Total cpu/real time for replay: 1.16/1.33602
Info:Generate Factor Base: Total cpu/real time for makefb: 0.25/0.372176
Info:Quadratic Characters: Total cpu/real time for characters: 1.16/1.13505
Info:Square Root: Total cpu/real time for sqrt: 4.48/4.33072
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2486.45/1710.56
Info:root: Cleaning up computation data in /tmp/cado.gh3zq7qk
128840598549002206329380284125914747265846941562230215861 54164925712233948147743754215943079206324347213

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)

2916666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<112>

665047201767619580247934643356186585189775896497061<51>
4385653618140937153115669819484102972116152086110773147896847<61>

2916666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667=665047201767619580247934643356186585189775896497061*4385653618140937153115669819484102972116152086110773147896847

cado polynomial
n: 2916666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
skew: 1.03
type: snfs
c0: 8
c4: 7
Y0: 10000000000000000000000000000
Y1: -1
# f(x) = 7*x^4+8
# g(x) = -x+10000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 530000
tasks.lim1 = 530000
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: 665047201767619580247934643356186585189775896497061 4385653618140937153115669819484102972116152086110773147896847
Info:Square Root: Total cpu/real time for sqrt: 7.84/7.32776
Info:Quadratic Characters: Total cpu/real time for characters: 1.28/1.06157
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 26.34/44.0734
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.4s
Info:Square Root: Total cpu/real time for sqrt: 7.84/7.32776
Info:Linear Algebra: Total cpu/real time for bwc: 46.86/44.91
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 11.21, WCT time 11.93, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1280 iterations)
Info:Linear Algebra: Lingen CPU time 27.11, WCT time 23.2
Info:Linear Algebra: Mksol: CPU time 6.03,  WCT time 6.93, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (640 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 35.37/48.7004
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3739172
Info:Lattice Sieving: Average J: 1887.87 for 9070 special-q, max bucket fill -bkmult 1.0,1s:1.340860
Info:Lattice Sieving: Total time: 2256.01s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 12.89/23.5489
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.3s
Info:Generate Free Relations: Total cpu/real time for freerel: 18.94/14.142
Info:Filtering - Merging: Merged matrix has 39223 rows and total weight 6668162 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 18.36/15.6788
Info:Filtering - Merging: Total cpu/real time for replay: 1.28/1.3799
Info:Generate Factor Base: Total cpu/real time for makefb: 0.28/0.342737
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2195.98/1688.63
Info:root: Cleaning up computation data in /tmp/cado.z5igebi7
665047201767619580247934643356186585189775896497061 4385653618140937153115669819484102972116152086110773147896847

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)

1028189194020646330633616254808240358155451625852493537140630593568301702672888930413391432251<94>

49928812969022050376638476759110049492901<41>
20593103117804511827782758263260372859009263769824351<53>

1028189194020646330633616254808240358155451625852493537140630593568301702672888930413391432251=49928812969022050376638476759110049492901*20593103117804511827782758263260372859009263769824351

cado polynomial
n:  1028189194020646330633616254808240358155451625852493537140630593568301702672888930413391432251
skew: 0.58
type: snfs
c0: 4
c4: 35
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 35*x^4+4
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 640000
tasks.lim1 = 640000
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: 49928812969022050376638476759110049492901 20593103117804511827782758263260372859009263769824351
Info:Square Root: Total cpu/real time for sqrt: 6.01/2.1034
Info:Filtering - Singleton removal: Total cpu/real time for purge: 30.73/33.1481
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3439152
Info:Lattice Sieving: Average J: 1892.94 for 13920 special-q, max bucket fill -bkmult 1.0,1s:1.379820
Info:Lattice Sieving: Total time: 2932.91s
Info:Linear Algebra: Total cpu/real time for bwc: 34.59/13.89
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 17.0, WCT time 7.9, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1536 iterations)
Info:Linear Algebra: Lingen CPU time 4.84, WCT time 1.26
Info:Linear Algebra: Mksol: CPU time 9.83,  WCT time 2.92, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (768 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 18.37/13.4505
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.81/14.5016
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 14.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 23.93/31.7841
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 23.6s
Info:Filtering - Merging: Merged matrix has 47350 rows and total weight 8064129 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 12.09/5.27371
Info:Filtering - Merging: Total cpu/real time for replay: 1.55/1.44678
Info:Generate Factor Base: Total cpu/real time for makefb: 0.34/0.437635
Info:Quadratic Characters: Total cpu/real time for characters: 1.52/0.595549
Info:Square Root: Total cpu/real time for sqrt: 6.01/2.1034
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2761.59/1767.78
Info:root: Cleaning up computation data in /tmp/cado.z8cv0r_z
49928812969022050376638476759110049492901 20593103117804511827782758263260372859009263769824351

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)

49480657791033068276524546090233048854495148245162800289437773931474081811933413<80>

2594560216377878021349976392102193226659<40>
19070922878833884683967112126149972085207<41>

49480657791033068276524546090233048854495148245162800289437773931474081811933413 = 2594560216377878021349976392102193226659 * 19070922878833884683967112126149972085207

Time elapsed: 0d 0h 4m 51.2s

Modular multiplications:

ECM: 78622512
Probable prime checking: 1371
SIQS: 113560
Sum of squares: 1700
SIQS:

789888 polynomials sieved
342533 sets of trial divisions
13208 smooth congruences found (1 out of every 4609195 values)
151874 partial congruences found (1 out of every 400847 values)
14464 useful partial congruences
Size of binary matrix: 25658 × 25007
Timings:

Probable prime test of 3 numbers: 0d 0h 0m 0.0s
Factoring 1 number using ECM: 0d 0h 0m 14.9s
Factoring 1 number using SIQS: 0d 0h 4m 36.3s

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)

7923949682718856907830672383365779574988790481164880050361890241832667<70>

1555589235283645077894521246766907<34>
5093857364777925670599447757064467681<37>

7923949682718856907830672383365779574988790481164880050361890241832667 = 1555589235283645077894521246766907 * 5093857364777925670599447757064467681

Time elapsed: 0d 0h 0m 29.4s

Modular multiplications:

ECM: 10552042
Probable prime checking: 1184
SIQS: 48664
Sum of squares: 2028
SIQS:

113688 polynomials sieved
152714 sets of trial divisions
5753 smooth congruences found (1 out of every 1085934 values)
64472 partial congruences found (1 out of every 96900 values)
6154 useful partial congruences
Size of binary matrix: 11009 × 10707

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)

205562742971229839335188806933990431198078166135154186819548495999097580715649228000562425477545039393023471<108>

1899492092331791889159361336383743914589971279<46>
108219846663790886667230842758412194201016216066217509015825249<63>

N=205562742971229839335188806933990431198078166135154186819548495999097580715649228000562425477545039393023471
  ( 108 digits)
SNFS difficulty: 125 digits.
Divisors found:
p46 factor: 1899492092331791889159361336383743914589971279
p63 factor: 108219846663790886667230842758412194201016216066217509015825249
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.42 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 205562742971229839335188806933990431198078166135154186819548495999097580715649228000562425477545039393023471
m: 10000000000000000000000000000000
deg: 4
c4: 35
c0: 4
skew: 0.58
# Murphy_E = 2.701e-08
type: snfs
lss: 1
rlim: 870000
alim: 870000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 870000/870000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [435000, 735001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 86214 x 86439
Total sieving time: 1.39 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,125.000,4,0,0,0,0,0,0,0,0,870000,870000,26,26,46,46,2.3,2.3,75000
total time: 1.42 hours.
 --------- CPU info (if available) ----------

3446614718385305782372391248129938318070424492829215894561669227126293777251319363596467<88>

3970390673252787080536868590666106018441689<43>
868079491926074878207450038101079382254922603<45>

Sun May 29 21:33:41 2022  Msieve v. 1.53 (SVN 1005)
Sun May 29 21:33:41 2022  random seeds: bf6a21e8 36141f33
Sun May 29 21:33:41 2022  factoring 3446614718385305782372391248129938318070424492829215894561669227126293777251319363596467 (88 digits)
Sun May 29 21:33:41 2022  searching for 15-digit factors
Sun May 29 21:33:41 2022  commencing quadratic sieve (88-digit input)
Sun May 29 21:33:41 2022  using multiplier of 13
Sun May 29 21:33:41 2022  using generic 32kb sieve core
Sun May 29 21:33:41 2022  sieve interval: 25 blocks of size 32768
Sun May 29 21:33:41 2022  processing polynomials in batches of 9
Sun May 29 21:33:41 2022  using a sieve bound of 1511179 (57667 primes)
Sun May 29 21:33:41 2022  using large prime bound of 120894320 (26 bits)
Sun May 29 21:33:41 2022  using double large prime bound of 353452074196400 (42-49 bits)
Sun May 29 21:33:41 2022  using trial factoring cutoff of 49 bits
Sun May 29 21:33:41 2022  polynomial 'A' values have 11 factors
Sun May 29 22:40:05 2022  58141 relations (15797 full + 42344 combined from 610001 partial), need 57763
Sun May 29 22:40:05 2022  begin with 625798 relations
Sun May 29 22:40:05 2022  reduce to 140576 relations in 10 passes
Sun May 29 22:40:05 2022  attempting to read 140576 relations
Sun May 29 22:40:06 2022  recovered 140576 relations
Sun May 29 22:40:06 2022  recovered 119436 polynomials
Sun May 29 22:40:06 2022  attempting to build 58141 cycles
Sun May 29 22:40:06 2022  found 58141 cycles in 5 passes
Sun May 29 22:40:06 2022  distribution of cycle lengths:
Sun May 29 22:40:06 2022     length 1 : 15797
Sun May 29 22:40:06 2022     length 2 : 11245
Sun May 29 22:40:06 2022     length 3 : 10294
Sun May 29 22:40:06 2022     length 4 : 7695
Sun May 29 22:40:06 2022     length 5 : 5424
Sun May 29 22:40:06 2022     length 6 : 3338
Sun May 29 22:40:06 2022     length 7 : 1956
Sun May 29 22:40:06 2022     length 9+: 2392
Sun May 29 22:40:06 2022  largest cycle: 19 relations
Sun May 29 22:40:06 2022  matrix is 57667 x 58141 (15.1 MB) with weight 3499310 (60.19/col)
Sun May 29 22:40:06 2022  sparse part has weight 3499310 (60.19/col)
Sun May 29 22:40:06 2022  filtering completed in 3 passes
Sun May 29 22:40:06 2022  matrix is 53443 x 53507 (14.0 MB) with weight 3229324 (60.35/col)
Sun May 29 22:40:06 2022  sparse part has weight 3229324 (60.35/col)
Sun May 29 22:40:06 2022  saving the first 48 matrix rows for later
Sun May 29 22:40:06 2022  matrix includes 64 packed rows
Sun May 29 22:40:06 2022  matrix is 53395 x 53507 (10.3 MB) with weight 2646092 (49.45/col)
Sun May 29 22:40:06 2022  sparse part has weight 2170632 (40.57/col)
Sun May 29 22:40:06 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun May 29 22:40:07 2022  commencing Lanczos iteration
Sun May 29 22:40:07 2022  memory use: 6.2 MB
Sun May 29 22:40:11 2022  lanczos halted after 845 iterations (dim = 53393)
Sun May 29 22:40:11 2022  recovered 18 nontrivial dependencies
Sun May 29 22:40:12 2022  p43 factor: 3970390673252787080536868590666106018441689
Sun May 29 22:40:12 2022  p45 factor: 868079491926074878207450038101079382254922603
Sun May 29 22:40:12 2022  elapsed time 01:06:31

Msieve 1.53

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

24817179990365451799113976948138709982619657015418945371753391806117886498238519705663480931<92>

1418712763171370758997091715506590281063896299<46>
17492744574236065348264498880824864491282673769<47>

24817179990365451799113976948138709982619657015418945371753391806117886498238519705663480931=1418712763171370758997091715506590281063896299*17492744574236065348264498880824864491282673769

cado polynomial
n: 24817179990365451799113976948138709982619657015418945371753391806117886498238519705663480931
skew: 674652.989
c0: 94528205055518282200290933
c1: 169316118134007511851
c2: -12515330743393
c3: -426575599
c4: 600
Y0: -14756977233559927419998
Y1: 2677124940785369
# MurphyE (Bf=8.389e+06,Bg=8.389e+06,area=4.214e+11) = 3.033e-06
# f(x) = 600*x^4-426575599*x^3-12515330743393*x^2+169316118134007511851*x+94528205055518282200290933
# g(x) = 2677124940785369*x-14756977233559927419998

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

cado log (extracts)
Info:Square Root: Factors: 1418712763171370758997091715506590281063896299 17492744574236065348264498880824864491282673769
Info:Square Root: Total cpu/real time for sqrt: 12.01/3.92229
Info:Quadratic Characters: Total cpu/real time for characters: 2.22/0.878433
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 11.78/13.7914
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 8.899999999999999s
Info:Square Root: Total cpu/real time for sqrt: 12.01/3.92229
Info:Linear Algebra: Total cpu/real time for bwc: 71.69/20.09
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 37.14, WCT time 10.04, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2300 iterations)
Info:Linear Algebra: Lingen CPU time 8.03, WCT time 2.08
Info:Linear Algebra: Mksol: CPU time 21.42,  WCT time 6.08, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1200 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 9.21/9.75707
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 1229354
Info:Lattice Sieving: Average J: 1024 for 36807 special-q, max bucket fill -bkmult 1.0,1s:1.356920
Info:Lattice Sieving: Total time: 1243.43s
Info:Generate Free Relations: Total cpu/real time for freerel: 6.26/2.07668
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 4.73/4.82874
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 4.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 42.81
Info:Polynomial Selection (root optimized): Rootsieve time: 42.48
Info:Filtering - Merging: Merged matrix has 72667 rows and total weight 12355305 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 14/3.95949
Info:Filtering - Merging: Total cpu/real time for replay: 2.26/1.90524
Info:Generate Factor Base: Total cpu/real time for makefb: 0.6/0.173592
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 2285.08
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2314/29.900/34.551/38.400/0.778
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 1394/29.530/33.427/36.070/1.120
Info:Polynomial Selection (size optimized): Total time: 36.88
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2346.04/736.834
Info:root: Cleaning up computation data in /tmp/cado.jff9i63j
1418712763171370758997091715506590281063896299 17492744574236065348264498880824864491282673769

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)

81583506223281275924062328234157492888295431684672854643500106135739105346074920833953774750633881678601<104>

5348611932075235846907912407004704540565606307835853<52>
15253210974987909756301618427646030518220839399324717<53>

81583506223281275924062328234157492888295431684672854643500106135739105346074920833953774750633881678601=5348611932075235846907912407004704540565606307835853*15253210974987909756301618427646030518220839399324717

cado polynomial
n: 81583506223281275924062328234157492888295431684672854643500106135739105346074920833953774750633881678601
skew: 0.33
type: snfs
c0: 2
c4: 175
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 175*x^4+2
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1040000
tasks.lim1 = 1040000
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: 15253210974987909756301618427646030518220839399324717 5348611932075235846907912407004704540565606307835853
Info:Square Root: Total cpu/real time for sqrt: 14.2/6.35967
Info:Filtering - Singleton removal: Total cpu/real time for purge: 55.37/87.2583
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6092120
Info:Lattice Sieving: Average J: 1890.69 for 54121 special-q, max bucket fill -bkmult 1.0,1s:1.368590
Info:Lattice Sieving: Total time: 10748.9s
Info:Linear Algebra: Total cpu/real time for bwc: 137.03/81.49
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 76.8, WCT time 44.79, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3200 iterations)
Info:Linear Algebra: Lingen CPU time 12.4, WCT time 4.52
Info:Linear Algebra: Mksol: CPU time 41.57,  WCT time 25.63, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1600 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.82/37.136
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 36.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 47.6/83.8277
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 74.0s
Info:Filtering - Merging: Merged matrix has 100336 rows and total weight 17108975 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 27.51/29.469
Info:Filtering - Merging: Total cpu/real time for replay: 3.27/4.25695
Info:Generate Factor Base: Total cpu/real time for makefb: 0.55/0.298242
Info:Quadratic Characters: Total cpu/real time for characters: 3.31/1.76173
Info:Square Root: Total cpu/real time for sqrt: 14.2/6.35967
Info:Generate Free Relations: Total cpu/real time for freerel: 36.05/11.0094
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 10074.7/5874.37
Info:root: Cleaning up computation data in /tmp/cado.rxjy6ea3
15253210974987909756301618427646030518220839399324717 5348611932075235846907912407004704540565606307835853

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)

258112094395280235988200589970501474926253687315634218289085545722713864306784660766961651917404129793510324483775811209439528023598820059<138>

29768554265337091000903116294372840902870242141721<50>
8670629150970541596412330596079742092992937138974181057377132977309263961599216218812179<88>

Number: n
N=258112094395280235988200589970501474926253687315634218289085545722713864306784660766961651917404129793510324483775811209439528023598820059  ( 138 digits)
SNFS difficulty: 140 digits.
Divisors found:

Mon May 30 05:24:37 2022  p50 factor: 29768554265337091000903116294372840902870242141721
Mon May 30 05:24:37 2022  p88 factor: 8670629150970541596412330596079742092992937138974181057377132977309263961599216218812179
Mon May 30 05:24:37 2022  elapsed time 00:03:12 (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 = 7x10^140+8 = 23(139)6
#
n: 258112094395280235988200589970501474926253687315634218289085545722713864306784660766961651917404129793510324483775811209439528023598820059
m: 100000000000000000000000000000000000
deg: 4
c4: 7
c0: 8
skew: 1.03
# Murphy_E = 4.987e-09
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6380000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 469733 hash collisions in 6867741 relations (7159087 unique)
Msieve: matrix is 199741 x 199966 (66.1 MB)

Sieving start time : 2022/05/30 05:05:59
Sieving end time  : 2022/05/30 05:19:05

Total sieving time: 0hrs 13min 6secs.

Total relation processing time: 0hrs 1min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 5sec.

Prototype def-par.txt line would be:
snfs,140,4,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
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)

4591425771163220756855561441153798898784795306596168127685625239295095485831585783102416040017263175942951419139928308385581009419<130>

121035382453932162432905435394169297<36>
37934574816672179209140033614247225650963609784264066789432911781016477128359943673107543507227<95>

Thu Jun  2 18:29:02 2022  Msieve v. 1.53 (SVN unknown)
Thu Jun  2 18:29:02 2022  random seeds: 0c2dcb98 33d78a0f
Thu Jun  2 18:29:02 2022  factoring 4591425771163220756855561441153798898784795306596168127685625239295095485831585783102416040017263175942951419139928308385581009419 (130 digits)
Thu Jun  2 18:29:02 2022  searching for 15-digit factors
Thu Jun  2 18:29:03 2022  commencing number field sieve (130-digit input)
Thu Jun  2 18:29:03 2022  R0: -5000000000000000000000000000000000000
Thu Jun  2 18:29:03 2022  R1: 1
Thu Jun  2 18:29:03 2022  A0: 5
Thu Jun  2 18:29:03 2022  A1: 0
Thu Jun  2 18:29:03 2022  A2: 0
Thu Jun  2 18:29:03 2022  A3: 0
Thu Jun  2 18:29:03 2022  A4: 7
Thu Jun  2 18:29:03 2022  skew 0.92, size 3.888e-15, alpha 0.125, combined = 2.234e-09 rroots = 0
Thu Jun  2 18:29:03 2022  
Thu Jun  2 18:29:03 2022  commencing square root phase
Thu Jun  2 18:29:03 2022  reading relations for dependency 1
Thu Jun  2 18:29:03 2022  read 122910 cycles
Thu Jun  2 18:29:03 2022  cycles contain 344786 unique relations
Thu Jun  2 18:29:06 2022  read 344786 relations
Thu Jun  2 18:29:06 2022  multiplying 344786 relations
Thu Jun  2 18:29:09 2022  multiply complete, coefficients have about 8.27 million bits
Thu Jun  2 18:29:09 2022  initial square root is modulo 56473
Thu Jun  2 18:29:12 2022  sqrtTime: 9
Thu Jun  2 18:29:12 2022  p36 factor: 121035382453932162432905435394169297
Thu Jun  2 18:29:12 2022  p95 factor: 37934574816672179209140033614247225650963609784264066789432911781016477128359943673107543507227
Thu Jun  2 18:29:12 2022  elapsed time 00:00:10
Thu Jun 02 18:29:12 2022 -> Computing time scale for this machine...
Thu Jun 02 18:29:12 2022 -> procrels -speedtest> PIPE

29166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<149>

11555145448006489746705255430477574712663083<44>
2524128043035454980022483788408337622210421282818373041855194452503570365379835973512584603775801449573249<106>

Number: n
N=29166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667  ( 149 digits)
SNFS difficulty: 149 digits.
Divisors found:

Tue May 31 14:48:25 2022  p44 factor: 11555145448006489746705255430477574712663083
Tue May 31 14:48:25 2022  p106 factor: 2524128043035454980022483788408337622210421282818373041855194452503570365379835973512584603775801449573249
Tue May 31 14:48:25 2022  elapsed time 00:04:44 (Msieve 1.54 - dependency 8)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 7x10^149+8 = 23(148)6
#
n: 29166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
m: 10000000000000000000000000000000000000
deg: 4
c4: 35
c0: 4
skew: 0.58
# Murphy_E = 1.736e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 692963 hash collisions in 7485904 relations (7577698 unique)
Msieve: matrix is 313659 x 313884 (106.1 MB)

Sieving start time : 2022/05/31 14:13:16
Sieving end time  : 2022/05/31 14:43:26

Total sieving time: 0hrs 30min 10secs.

Total relation processing time: 0hrs 1min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 19sec.

Prototype def-par.txt line would be:
snfs,149,4,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
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)

590132843961457243695189304499779796144510381954209737933806653596067219840333657737788128145829581774539578355141271058469013304629271803048053<144>

1068726601095151257256302441883283<34>
552183171408602676579104260558059491232494128151027302810166053623637709094320144593945680541663767181200927191<111>

Number: n
N=590132843961457243695189304499779796144510381954209737933806653596067219840333657737788128145829581774539578355141271058469013304629271803048053  ( 144 digits)
SNFS difficulty: 150 digits.
Divisors found:

Tue May 31 20:43:39 2022  p34 factor: 1068726601095151257256302441883283
Tue May 31 20:43:39 2022  p111 factor: 552183171408602676579104260558059491232494128151027302810166053623637709094320144593945680541663767181200927191
Tue May 31 20:43:39 2022  elapsed time 00:05:47 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 7x10^150+8 = 23(149)6
#
n: 590132843961457243695189304499779796144510381954209737933806653596067219840333657737788128145829581774539578355141271058469013304629271803048053
m: 1000000000000000000000000000000
deg: 5
c5: 7
c0: 8
skew: 1.03
# Murphy_E = 1.63e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 21150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1128897 hash collisions in 14756253 relations (14654826 unique)
Msieve: matrix is 508737 x 508977 (64.4 MB)

Sieving start time : 2022/05/31 18:44:21
Sieving end time  : 2022/05/31 20:37:09

Total sieving time: 1hrs 52min 48secs.

Total relation processing time: 0hrs 1min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 26sec.

Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
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)

11652031985384424417425277524597443896249958069457592496967376324619172856007452600566820448017842935811931735754266439<119>

1080799519842111355039369809416959994665604877552049<52>
10780937418520145177193248291158067858222884657448733993858279061111<68>

Wed Jun  1 11:37:38 2022  Msieve v. 1.53 (SVN unknown)
Wed Jun  1 11:37:38 2022  random seeds: 24d0ea60 fadcc6a5
Wed Jun  1 11:37:38 2022  factoring 11652031985384424417425277524597443896249958069457592496967376324619172856007452600566820448017842935811931735754266439 (119 digits)
Wed Jun  1 11:37:38 2022  searching for 15-digit factors
Wed Jun  1 11:37:39 2022  commencing number field sieve (119-digit input)
Wed Jun  1 11:37:39 2022  R0: -1000000000000000000000000000000
Wed Jun  1 11:37:39 2022  R1: 1
Wed Jun  1 11:37:39 2022  A0: 4
Wed Jun  1 11:37:39 2022  A1: 0
Wed Jun  1 11:37:39 2022  A2: 0
Wed Jun  1 11:37:39 2022  A3: 0
Wed Jun  1 11:37:39 2022  A4: 0
Wed Jun  1 11:37:39 2022  A5: 35
Wed Jun  1 11:37:39 2022  skew 0.65, size 1.416e-10, alpha 0.635, combined = 1.512e-09 rroots = 1
Wed Jun  1 11:37:39 2022  
Wed Jun  1 11:37:39 2022  commencing square root phase
Wed Jun  1 11:37:39 2022  reading relations for dependency 1
Wed Jun  1 11:37:39 2022  read 154085 cycles
Wed Jun  1 11:37:39 2022  cycles contain 513872 unique relations
Wed Jun  1 11:37:43 2022  read 513872 relations
Wed Jun  1 11:37:44 2022  multiplying 513872 relations
Wed Jun  1 11:37:52 2022  multiply complete, coefficients have about 13.25 million bits
Wed Jun  1 11:37:52 2022  initial square root is modulo 41278931
Wed Jun  1 11:38:02 2022  Newton iteration failed to converge
Wed Jun  1 11:38:02 2022  algebraic square root failed
Wed Jun  1 11:38:02 2022  reading relations for dependency 2
Wed Jun  1 11:38:02 2022  read 153956 cycles
Wed Jun  1 11:38:02 2022  cycles contain 513348 unique relations
Wed Jun  1 11:38:07 2022  read 513348 relations
Wed Jun  1 11:38:08 2022  multiplying 513348 relations
Wed Jun  1 11:38:16 2022  multiply complete, coefficients have about 13.24 million bits
Wed Jun  1 11:38:16 2022  initial square root is modulo 40425241
Wed Jun  1 11:38:25 2022  GCD is 1, no factor found
Wed Jun  1 11:38:25 2022  reading relations for dependency 3
Wed Jun  1 11:38:25 2022  read 154392 cycles
Wed Jun  1 11:38:25 2022  cycles contain 514344 unique relations
Wed Jun  1 11:38:30 2022  read 514344 relations
Wed Jun  1 11:38:31 2022  multiplying 514344 relations
Wed Jun  1 11:38:39 2022  multiply complete, coefficients have about 13.27 million bits
Wed Jun  1 11:38:39 2022  initial square root is modulo 41939941
Wed Jun  1 11:38:48 2022  Newton iteration failed to converge
Wed Jun  1 11:38:48 2022  algebraic square root failed
Wed Jun  1 11:38:48 2022  reading relations for dependency 4
Wed Jun  1 11:38:48 2022  read 153741 cycles
Wed Jun  1 11:38:48 2022  cycles contain 513524 unique relations
Wed Jun  1 11:38:53 2022  read 513524 relations
Wed Jun  1 11:38:54 2022  multiplying 513524 relations
Wed Jun  1 11:39:01 2022  multiply complete, coefficients have about 13.24 million bits
Wed Jun  1 11:39:02 2022  initial square root is modulo 40650751
Wed Jun  1 11:39:11 2022  GCD is 1, no factor found
Wed Jun  1 11:39:11 2022  reading relations for dependency 5
Wed Jun  1 11:39:11 2022  read 154429 cycles
Wed Jun  1 11:39:11 2022  cycles contain 515348 unique relations
Wed Jun  1 11:39:16 2022  read 515348 relations
Wed Jun  1 11:39:17 2022  multiplying 515348 relations
Wed Jun  1 11:39:25 2022  multiply complete, coefficients have about 13.29 million bits
Wed Jun  1 11:39:25 2022  initial square root is modulo 43312891
Wed Jun  1 11:39:34 2022  Newton iteration failed to converge
Wed Jun  1 11:39:34 2022  algebraic square root failed
Wed Jun  1 11:39:34 2022  reading relations for dependency 6
Wed Jun  1 11:39:34 2022  read 154336 cycles
Wed Jun  1 11:39:34 2022  cycles contain 515170 unique relations
Wed Jun  1 11:39:39 2022  read 515170 relations
Wed Jun  1 11:39:40 2022  multiplying 515170 relations
Wed Jun  1 11:39:48 2022  multiply complete, coefficients have about 13.29 million bits
Wed Jun  1 11:39:48 2022  initial square root is modulo 43056311
Wed Jun  1 11:39:57 2022  sqrtTime: 138
Wed Jun  1 11:39:57 2022  p52 factor: 1080799519842111355039369809416959994665604877552049
Wed Jun  1 11:39:57 2022  p68 factor: 10780937418520145177193248291158067858222884657448733993858279061111
Wed Jun  1 11:39:57 2022  elapsed time 00:02:19
Wed Jun 01 11:39:57 2022 -> Computing time scale for this machine...
Wed Jun 01 11:39:57 2022 -> procrels -speedtest> PIPE
Wed Jun 01 11:39:59 2022 -> Factorization summary written to s152-23336_151.txt

25656137387882679614952690082656744338790027239487580963439271189770384900703417983926063410243102897237640339071511718257493791214752132391533181449<149>

42160310797544000996106885861430107191<38>
2611526926348755783578137338073712586485517857397953<52>
233019872766145041686330498896271918943621363971186682280063<60>

Number: n
N=25656137387882679614952690082656744338790027239487580963439271189770384900703417983926063410243102897237640339071511718257493791214752132391533181449  ( 149 digits)
SNFS difficulty: 154 digits.
Divisors found:

Tue May 31 14:05:42 2022  found factor: 42160310797544000996106885861430107191
Tue May 31 14:06:10 2022  found factor: 42160310797544000996106885861430107191
Tue May 31 14:06:24 2022  p38 factor: 42160310797544000996106885861430107191
Tue May 31 14:06:24 2022  p52 factor: 2611526926348755783578137338073712586485517857397953
Tue May 31 14:06:24 2022  p60 factor: 233019872766145041686330498896271918943621363971186682280063
Tue May 31 14:06:24 2022  elapsed time 00:06:20 (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 = 7x10^154+8 = 23(153)6
#
n: 25656137387882679614952690082656744338790027239487580963439271189770384900703417983926063410243102897237640339071511718257493791214752132391533181449
m: 5000000000000000000000000000000
deg: 5
c5: 14
c0: 5
skew: 0.81
# Murphy_E = 1.079e-09
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1282278 hash collisions in 14635884 relations (14333714 unique)
Msieve: matrix is 352898 x 353124 (116.5 MB)

Sieving start time : 2022/05/31 13:25:48
Sieving end time  : 2022/05/31 13:59:50

Total sieving time: 0hrs 34min 2secs.

Total relation processing time: 0hrs 2min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 57sec.

Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    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)

143389592049680394833241289259963170693003558417896734814654763261127950732908049406319803123710667929890626150591373476218449662157250321236973091<147>

394545271717515908148351441292588629471281417877310254167<57>
363430010009963042118373793039324059987111739542896733587197797438923084845296940406506773<90>

Number: n
N=143389592049680394833241289259963170693003558417896734814654763261127950732908049406319803123710667929890626150591373476218449662157250321236973091  ( 147 digits)
SNFS difficulty: 156 digits.
Divisors found:

Tue May 31 16:48:25 2022  p57 factor: 394545271717515908148351441292588629471281417877310254167
Tue May 31 16:48:25 2022  p90 factor: 363430010009963042118373793039324059987111739542896733587197797438923084845296940406506773
Tue May 31 16:48:25 2022  elapsed time 00:06:48 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 7x10^156+8 = 23(155)6
#
n: 143389592049680394833241289259963170693003558417896734814654763261127950732908049406319803123710667929890626150591373476218449662157250321236973091
m: 10000000000000000000000000000000
deg: 5
c5: 35
c0: 4
skew: 0.65
# Murphy_E = 9.733e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1334422 hash collisions in 14924314 relations (14588929 unique)
Msieve: matrix is 358509 x 358735 (118.8 MB)

Sieving start time : 2022/05/31 16:05:19
Sieving end time  : 2022/05/31 16:41:22

Total sieving time: 0hrs 36min 3secs.

Total relation processing time: 0hrs 2min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 16sec.

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

307628669858536062553303668865543020775161693128006057850023623492412761781660254585457115749317049597555272173791118919464959738858676047827<141>

1599203229590448089707311651115902133603267<43>
192363712232696646297542534431911893152593399805229639883282310497161097162525504234248393280469681<99>

Number: n
N=307628669858536062553303668865543020775161693128006057850023623492412761781660254585457115749317049597555272173791118919464959738858676047827  ( 141 digits)
SNFS difficulty: 157 digits.
Divisors found:

Tue May 31 22:43:07 2022  p43 factor: 1599203229590448089707311651115902133603267
Tue May 31 22:43:07 2022  p99 factor: 192363712232696646297542534431911893152593399805229639883282310497161097162525504234248393280469681
Tue May 31 22:43:07 2022  elapsed time 00:06:58 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 7x10^157+8 = 23(156)6
#
n: 307628669858536062553303668865543020775161693128006057850023623492412761781660254585457115749317049597555272173791118919464959738858676047827
m: 10000000000000000000000000000000
deg: 5
c5: 175
c0: 2
skew: 0.41
# Murphy_E = 7.563e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1159291 hash collisions in 12723906 relations (12369579 unique)
Msieve: matrix is 397873 x 398103 (133.3 MB)

Sieving start time : 2022/05/31 22:10:26
Sieving end time  : 2022/05/31 22:35:54

Total sieving time: 0hrs 25min 28secs.

Total relation processing time: 0hrs 2min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 53sec.

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

30052862035073181938047537877175217721031489302735779468907929936185984356942575212815212499914062030446937600629413<116>

27881840880802561465916409973114013936367974893643<50>
1077865057890256813528126600188893528199006126319871872758143005391<67>

30052862035073181938047537877175217721031489302735779468907929936185984356942575212815212499914062030446937600629413=27881840880802561465916409973114013936367974893643*1077865057890256813528126600188893528199006126319871872758143005391

cado polynomial
n: 30052862035073181938047537877175217721031489302735779468907929936185984356942575212815212499914062030446937600629413
skew: 0.26
type: snfs
c0: 1
c5: 875
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 875*x^5+1
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 3000000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1077865057890256813528126600188893528199006126319871872758143005391 27881840880802561465916409973114013936367974893643
Info:Square Root: Total cpu/real time for sqrt: 55.27/76.9922
Info:Filtering - Singleton removal: Total cpu/real time for purge: 92.69/82.5243
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11664706
Info:Lattice Sieving: Average J: 1894.34 for 186088 special-q, max bucket fill -bkmult 1.0,1s:1.221850
Info:Lattice Sieving: Total time: 40339.4s
Info:Linear Algebra: Total cpu/real time for bwc: 5491.09/7770.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 700.71, WCT time 1050.36, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (9088 iterations)
Info:Linear Algebra: Lingen CPU time 4378.63, WCT time 6111.22
Info:Linear Algebra: Mksol: CPU time 385.51,  WCT time 582.87, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4608 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 60.88/91.8819
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.53/47.7567
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.7s
Info:Filtering - Merging: Merged matrix has 289966 rows and total weight 49481018 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 59.34/30.8265
Info:Filtering - Merging: Total cpu/real time for replay: 9.13/8.9368
Info:Generate Factor Base: Total cpu/real time for makefb: 1.32/2.65474
Info:Quadratic Characters: Total cpu/real time for characters: 9.28/12.7628
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.3/87.852
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.5s
Info:Square Root: Total cpu/real time for sqrt: 55.27/76.9922
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 49368.4/28590.4
Info:root: Cleaning up computation data in /tmp/cado.2x3af_rl
1077865057890256813528126600188893528199006126319871872758143005391 27881840880802561465916409973114013936367974893643

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)

335851101680709445250549655238793998370315226433001594421007324913983451741887039646687386666263769939649364286647236683900179910931<132>

16222817180990679239367922475224741529838169480680863387557840331<65>
20702390832231520989610084509066133418615810507317553241499056912601<68>

335851101680709445250549655238793998370315226433001594421007324913983451741887039646687386666263769939649364286647236683900179910931=16222817180990679239367922475224741529838169480680863387557840331*20702390832231520989610084509066133418615810507317553241499056912601

cado polynomial
n: 335851101680709445250549655238793998370315226433001594421007324913983451741887039646687386666263769939649364286647236683900179910931
skew: 0.81
type: snfs
c0: 5
c5: 14
Y0: 50000000000000000000000000000000
Y1: -1
# f(x) = 14*x^5+5
# g(x) = -x+50000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3200000
tasks.lim1 = 3200000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 16222817180990679239367922475224741529838169480680863387557840331 20702390832231520989610084509066133418615810507317553241499056912601
Info:Square Root: Total cpu/real time for sqrt: 58.49/19.2964
Info:Generate Free Relations: Total cpu/real time for freerel: 59.16/16.8948
Info:Filtering - Singleton removal: Total cpu/real time for purge: 85.66/75.1649
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11654577
Info:Lattice Sieving: Average J: 1893.69 for 241588 special-q, max bucket fill -bkmult 1.0,1s:1.263370
Info:Lattice Sieving: Total time: 29602.7s
Info:Linear Algebra: Total cpu/real time for bwc: 1577.36/408.79
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 965.01, WCT time 247.68, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10624 iterations)
Info:Linear Algebra: Lingen CPU time 51.8, WCT time 13.21
Info:Linear Algebra: Mksol: CPU time 531.01,  WCT time 135.82, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5376 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.04/47.8951
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.8s
Info:Filtering - Merging: Merged matrix has 338465 rows and total weight 57570371 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 69.05/19.3806
Info:Filtering - Merging: Total cpu/real time for replay: 10.47/8.72186
Info:Generate Factor Base: Total cpu/real time for makefb: 1.38/0.749401
Info:Quadratic Characters: Total cpu/real time for characters: 10.5/4.13213
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 99.93/84.9554
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.4s
Info:Square Root: Total cpu/real time for sqrt: 58.49/19.2964
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 56194/15612.5
Info:root: Cleaning up computation data in /tmp/cado.8ebe31cn
16222817180990679239367922475224741529838169480680863387557840331 20702390832231520989610084509066133418615810507317553241499056912601

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)

211560310816287044733513165782981169759184992704621450061596154392173026419599409511580341536087666811547805240432250329411269<126>

475127155588985126373533330590354942537<39>
445270930797523221520085790238996610524958043715558295680070817607433576229980598190237<87>

211560310816287044733513165782981169759184992704621450061596154392173026419599409511580341536087666811547805240432250329411269=475127155588985126373533330590354942537*445270930797523221520085790238996610524958043715558295680070817607433576229980598190237

cado polynomial
n: 211560310816287044733513165782981169759184992704621450061596154392173026419599409511580341536087666811547805240432250329411269
skew: 1.03
type: snfs
c0: 8
c5: 7
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 7*x^5+8
# g(x) = -x+100000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 445270930797523221520085790238996610524958043715558295680070817607433576229980598190237 475127155588985126373533330590354942537
Info:Square Root: Total cpu/real time for sqrt: 66.7/25.4097
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11640233
Info:Lattice Sieving: Average J: 1894.08 for 203434 special-q, max bucket fill -bkmult 1.0,1s:1.263740
Info:Lattice Sieving: Total time: 34472.3s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.66/56.7879
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 56.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.53/106.773
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 92.9s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.32/21.819
Info:Filtering - Merging: Merged matrix has 376147 rows and total weight 63998482 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 80.32/29.6788
Info:Filtering - Merging: Total cpu/real time for replay: 12.49/10.5072
Info:Linear Algebra: Total cpu/real time for bwc: 2372.54/959.87
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1275.26, WCT time 524.94, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (11776 iterations)
Info:Linear Algebra: Lingen CPU time 363.68, WCT time 128.12
Info:Linear Algebra: Mksol: CPU time 699.43,  WCT time 288.51, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (5888 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.43/1.23829
Info:Quadratic Characters: Total cpu/real time for characters: 12.48/6.16971
Info:Square Root: Total cpu/real time for sqrt: 66.7/25.4097
Info:Filtering - Singleton removal: Total cpu/real time for purge: 77.31/110.275
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 50013.6/18809.8
Info:root: Cleaning up computation data in /tmp/cado.9i2b1o8j
445270930797523221520085790238996610524958043715558295680070817607433576229980598190237 475127155588985126373533330590354942537

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)

3686807332660425140738205650464388340739132897592861295861253703562840208000389892453551410767662928255184046514224105903302760389705373756311262781471<151>

103521792957115174445078270511266019772523<42>
35613828038968741041148314921315676104200032200962819567333687267000745523506496466799889382689612588590056477<110>

Number: n
N=3686807332660425140738205650464388340739132897592861295861253703562840208000389892453551410767662928255184046514224105903302760389705373756311262781471  ( 151 digits)
SNFS difficulty: 162 digits.
Divisors found:

Wed Jun  1 05:43:43 2022  p42 factor: 103521792957115174445078270511266019772523
Wed Jun  1 05:43:43 2022  p110 factor: 35613828038968741041148314921315676104200032200962819567333687267000745523506496466799889382689612588590056477
Wed Jun  1 05:43:43 2022  elapsed time 00:06:27 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 7x10^163+8 = 23(162)6
#
n: 3686807332660425140738205650464388340739132897592861295861253703562840208000389892453551410767662928255184046514224105903302760389705373756311262781471
m: 100000000000000000000000000000000
deg: 5
c5: 875
c0: 1
skew: 0.26
# Murphy_E = 5.615e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1055321 hash collisions in 12605468 relations (12371051 unique)
Msieve: matrix is 443248 x 443474 (153.0 MB)

Sieving start time : 2022/06/01 05:15:35
Sieving end time  : 2022/06/01 05:37:01

Total sieving time: 0hrs 21min 26secs.

Total relation processing time: 0hrs 3min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 28sec.

Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
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)

24461058962072436864258736270365750577753074756903450534029280160533400095483539026519947253260024963789740139471513765753108823118746340299<140>

8885986489361054464431507122110353347582768917058249087441<58>
2752767966883472683195007647400067920246175241416217247069248091613250618044946139<82>

Number: n
N=24461058962072436864258736270365750577753074756903450534029280160533400095483539026519947253260024963789740139471513765753108823118746340299  ( 140 digits)
SNFS difficulty: 164 digits.
Divisors found:

Thu Jun  2 03:14:53 2022  p58 factor: 8885986489361054464431507122110353347582768917058249087441
Thu Jun  2 03:14:53 2022  p82 factor: 2752767966883472683195007647400067920246175241416217247069248091613250618044946139
Thu Jun  2 03:14:53 2022  elapsed time 00:07:27 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 7x10^164+8 = 23(163)6
#
n: 24461058962072436864258736270365750577753074756903450534029280160533400095483539026519947253260024963789740139471513765753108823118746340299
m: 500000000000000000000000000000000
deg: 5
c5: 14
c0: 5
skew: 0.81
# Murphy_E = 4.421e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1325311 hash collisions in 12911992 relations (12372153 unique)
Msieve: matrix is 479142 x 479367 (164.0 MB)

Sieving start time : 2022/06/02 02:07:20
Sieving end time  : 2022/06/02 03:06:53

Total sieving time: 0hrs 59min 33secs.

Total relation processing time: 0hrs 3min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 50sec.

Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
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)

42336074614616406844856266592087631740528420792463057728286164818096996369464933038022177628295017600444088776750498751922967<125>

60449515486102006047620761210347624858259003192106617<53>
700354242282552717376573984757240343367344725806867624298344466135681551<72>

42336074614616406844856266592087631740528420792463057728286164818096996369464933038022177628295017600444088776750498751922967=60449515486102006047620761210347624858259003192106617*700354242282552717376573984757240343367344725806867624298344466135681551

cado polynomial
n: 42336074614616406844856266592087631740528420792463057728286164818096996369464933038022177628295017600444088776750498751922967
skew: 1.03
type: snfs
c0: 8
c5: 7
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 7*x^5+8
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4100000
tasks.lim1 = 4100000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 60449515486102006047620761210347624858259003192106617 700354242282552717376573984757240343367344725806867624298344466135681551
Info:Square Root: Total cpu/real time for sqrt: 90.21/70.4536
Info:Quadratic Characters: Total cpu/real time for characters: 15.98/12.7606
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 107.25/156.508
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 147.39999999999998s
Info:Square Root: Total cpu/real time for sqrt: 90.21/70.4536
Info:Linear Algebra: Total cpu/real time for bwc: 3919.43/3210.87
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2118.61, WCT time 1712.05, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (15104 iterations)
Info:Linear Algebra: Lingen CPU time 591.18, WCT time 507.84
Info:Linear Algebra: Mksol: CPU time 1162.56,  WCT time 950.78, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7552 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 73.74/111.373
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11655028
Info:Lattice Sieving: Average J: 1893.6 for 293657 special-q, max bucket fill -bkmult 1.0,1s:1.209720
Info:Lattice Sieving: Total time: 73483.8s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.41/38.7358
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.73/75.22
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 75.1s
Info:Filtering - Merging: Merged matrix has 482862 rows and total weight 82369184 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 109.19/78.928
Info:Filtering - Merging: Total cpu/real time for replay: 17.81/19.7144
Info:Generate Factor Base: Total cpu/real time for makefb: 1.76/2.24088
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 74005/40798.2
Info:root: Cleaning up computation data in /tmp/cado.xjah9enc
60449515486102006047620761210347624858259003192106617 700354242282552717376573984757240343367344725806867624298344466135681551

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)

567522206321350453680906576296262169438422129583326177445833827425462870782312813763638884268701417173561918814603325671995639151064587610641589277164191891099<159>

48945325783619624275188119828994754214829265777352697837236126401<65>
11595023574473403471937501953130279597099951194755595258286661150534516989755267937826816017499<95>

Number: n
N=567522206321350453680906576296262169438422129583326177445833827425462870782312813763638884268701417173561918814603325671995639151064587610641589277164191891099  ( 159 digits)
SNFS difficulty: 169 digits.
Divisors found:

Sat Jun  4 21:43:50 2022  p65 factor: 48945325783619624275188119828994754214829265777352697837236126401
Sat Jun  4 21:43:50 2022  p95 factor: 11595023574473403471937501953130279597099951194755595258286661150534516989755267937826816017499
Sat Jun  4 21:43:50 2022  elapsed time 00:13:13 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 7x10^169+8 = 23(168)6
#
n: 567522206321350453680906576296262169438422129583326177445833827425462870782312813763638884268701417173561918814603325671995639151064587610641589277164191891099
m: 5000000000000000000000000000000000
deg: 5
c5: 14
c0: 5
skew: 0.81
# Murphy_E = 2.809e-10
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1112560 hash collisions in 11814289 relations (11437207 unique)
Msieve: matrix is 681876 x 682102 (236.3 MB)

Sieving start time : 2022/06/04 20:48:00
Sieving end time  : 2022/06/04 21:30:10

Total sieving time: 0hrs 42min 10secs.

Total relation processing time: 0hrs 6min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 32sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
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)

5511349520157414161380531553826255496839411194972968189671359174793274339539683486349725470542103432136115421230950700648595200082671220739431<142>

100337693542546997529749004818397546716778352381<48>
54928006869326654282692416348564009812786682359219156149061803198455749285925415674214820128051<95>

Number: n
N=5511349520157414161380531553826255496839411194972968189671359174793274339539683486349725470542103432136115421230950700648595200082671220739431  ( 142 digits)
SNFS difficulty: 170 digits.
Divisors found:

Wed Jun  8 22:53:58 2022  p48 factor: 100337693542546997529749004818397546716778352381
Wed Jun  8 22:53:58 2022  p95 factor: 54928006869326654282692416348564009812786682359219156149061803198455749285925415674214820128051
Wed Jun  8 22:53:58 2022  elapsed time 00:16:48 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 7x10^170+8 = 23(169)6
#
n: 5511349520157414161380531553826255496839411194972968189671359174793274339539683486349725470542103432136115421230950700648595200082671220739431
m: 10000000000000000000000000000000000
deg: 5
c5: 7
c0: 8
skew: 1.03
# Murphy_E = 2.721e-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 1180273 hash collisions in 12184432 relations (11757464 unique)
Msieve: matrix is 686286 x 686513 (237.4 MB)

Sieving start time : 2022/06/08 22:07:45
Sieving end time  : 2022/06/08 22:36:55

Total sieving time: 0hrs 29min 10secs.

Total relation processing time: 0hrs 10min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 20sec.

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)

213388394986029980422754377995229181460220643335277654784117986033172711364316455109990164134882312104934911940860961409391<123>

44439229740515423755418079212230722987539<41>
4801802286673815275165069500338890665324399448555907602875918599033466131787442869<82>

213388394986029980422754377995229181460220643335277654784117986033172711364316455109990164134882312104934911940860961409391=44439229740515423755418079212230722987539*4801802286673815275165069500338890665324399448555907602875918599033466131787442869

cado polynomial
n: 213388394986029980422754377995229181460220643335277654784117986033172711364316455109990164134882312104934911940860961409391
skew: 106014.833
c0: 32610013769775292493488350980
c1: -677565595548701138994437
c2: 70874351638353754766
c3: -53658546553957
c4: 944121416
c5: 11520
Y0: -594057036655095992398641
Y1: 10660046725808659
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.278e-07
# f(x) = 11520*x^5+944121416*x^4-53658546553957*x^3+70874351638353754766*x^2-677565595548701138994437*x+32610013769775292493488350980
# g(x) = 10660046725808659*x-594057036655095992398641

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

cado log (extracts)
Info:Square Root: Factors: 44439229740515423755418079212230722987539 4801802286673815275165069500338890665324399448555907602875918599033466131787442869
Info:Square Root: Total cpu/real time for sqrt: 427.02/124.659
Info:Generate Free Relations: Total cpu/real time for freerel: 126/33.0849
Info:Filtering - Singleton removal: Total cpu/real time for purge: 60.8/66.0758
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11632203
Info:Lattice Sieving: Average J: 3783.02 for 151347 special-q, max bucket fill -bkmult 1.0,1s:1.288080
Info:Lattice Sieving: Total time: 66895.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.52/2.27708
Info:Linear Algebra: Total cpu/real time for bwc: 6728.54/1730.53
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4217.12, WCT time 1078.33, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (21248 iterations)
Info:Linear Algebra: Lingen CPU time 114.8, WCT time 29.28
Info:Linear Algebra: Mksol: CPU time 2294.26,  WCT time 585.96, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10752 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.95/57.2265
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.1s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2401.54
Info:Polynomial Selection (root optimized): Rootsieve time: 2399.09
Info:Filtering - Merging: Merged matrix has 673297 rows and total weight 115029697 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 139.81/40.1967
Info:Filtering - Merging: Total cpu/real time for replay: 24.16/19.983
Info:Quadratic Characters: Total cpu/real time for characters: 24.5/9.72824
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20182/36.870/43.547/48.190/0.906
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15816/35.300/38.934/44.290/0.863
Info:Polynomial Selection (size optimized): Total time: 1984.5
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 121.29/106.064
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 94.19999999999999s
Info:Square Root: Total cpu/real time for sqrt: 427.02/124.659
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 97932.6/37117
Info:root: Cleaning up computation data in /tmp/cado.zfhy56bq
44439229740515423755418079212230722987539 4801802286673815275165069500338890665324399448555907602875918599033466131787442869

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)

106482897318373899547114764968754888723120739075560527756618334530826612753789412100578139142953695791336230030908673<117>

803669252081662341365991797238648042109124909123131397<54>
132495920482912754834420166227644642580650623019826616030031309<63>

106482897318373899547114764968754888723120739075560527756618334530826612753789412100578139142953695791336230030908673=803669252081662341365991797238648042109124909123131397*132495920482912754834420166227644642580650623019826616030031309

cado polynomial
n: 106482897318373899547114764968754888723120739075560527756618334530826612753789412100578139142953695791336230030908673
skew: 35838.631
c0: -31108192622295555153871848
c1: -51961941126804376928566
c2: -10140287458432163811
c3: 70611837576319
c4: 2349770892
c5: 28080
Y0: -28390138866019417251103
Y1: 75570929476371103
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.415e-07
# f(x) = 28080*x^5+2349770892*x^4+70611837576319*x^3-10140287458432163811*x^2-51961941126804376928566*x-31108192622295555153871848
# g(x) = 75570929476371103*x-28390138866019417251103

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: 803669252081662341365991797238648042109124909123131397 132495920482912754834420166227644642580650623019826616030031309
Info:Square Root: Total cpu/real time for sqrt: 145.51/43.8484
Info:Filtering - Singleton removal: Total cpu/real time for purge: 99.87/116.559
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7563917
Info:Lattice Sieving: Average J: 1888.46 for 190035 special-q, max bucket fill -bkmult 1.0,1s:1.252990
Info:Lattice Sieving: Total time: 26779.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.26/3.34727
Info:Linear Algebra: Total cpu/real time for bwc: 2710.42/700.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1669.48, WCT time 427.73, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14464 iterations)
Info:Linear Algebra: Lingen CPU time 73.99, WCT time 18.88
Info:Linear Algebra: Mksol: CPU time 928.66,  WCT time 238.18, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.7/42.3662
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 30.96/33.334
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 32.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 312.88
Info:Polynomial Selection (root optimized): Rootsieve time: 311.79
Info:Filtering - Merging: Merged matrix has 461958 rows and total weight 71624850 (155.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 74.87/22.38
Info:Filtering - Merging: Total cpu/real time for replay: 15.58/12.6507
Info:Quadratic Characters: Total cpu/real time for characters: 16.57/6.48578
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): 21973/33.510/41.466/47.130/1.082
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17462/33.090/36.677/41.880/0.845
Info:Polynomial Selection (size optimized): Total time: 1797.59
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 131.12/141.423
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 102.9s
Info:Square Root: Total cpu/real time for sqrt: 145.51/43.8484
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 43971.5/15472.3
Info:root: Cleaning up computation data in /tmp/cado.0z311cit
803669252081662341365991797238648042109124909123131397 132495920482912754834420166227644642580650623019826616030031309

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)

279992583433365634830975520570917140987716372135021188037961955369787179771612816207944379285320358639493264982648886657857621282465173811230684330062044333<156>

37138483320409731828709749636323894193635379437305033<53>
7539149647489605810294386035007544786997107566962137038052159226562736004108856098951761210646146492101<103>

Number: n
N=279992583433365634830975520570917140987716372135021188037961955369787179771612816207944379285320358639493264982648886657857621282465173811230684330062044333  ( 156 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sun Jun  5 20:48:54 2022  p53 factor: 37138483320409731828709749636323894193635379437305033
Sun Jun  5 20:48:54 2022  p103 factor: 7539149647489605810294386035007544786997107566962137038052159226562736004108856098951761210646146492101
Sun Jun  5 20:48:54 2022  elapsed time 00:16:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 7x10^176+8 = 23(175)6
#
n: 279992583433365634830975520570917140987716372135021188037961955369787179771612816207944379285320358639493264982648886657857621282465173811230684330062044333
m: 100000000000000000000000000000000000
deg: 5
c5: 35
c0: 4
skew: 0.65
# Murphy_E = 1.591e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3933802 hash collisions in 30448381 relations (28194167 unique)
Msieve: matrix is 780541 x 780766 (265.3 MB)

Sieving start time : 2022/06/05 19:13:59
Sieving end time  : 2022/06/05 20:32:02

Total sieving time: 1hrs 18min 3secs.

Total relation processing time: 0hrs 8min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 41sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
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)

1072511293227390377590701476978773076100942957240853206573521889039473681096157156342371046433330636198650540347624325358733603735573961737022455401636321<154>

4851300309778360108532202372441719090235650800183<49>
221077077225175919276971617206810686111777643676279420101150095385476959098807338209835294028420277278887<105>

Number: n
N=1072511293227390377590701476978773076100942957240853206573521889039473681096157156342371046433330636198650540347624325358733603735573961737022455401636321  ( 154 digits)
SNFS difficulty: 177 digits.
Divisors found:

Wed Jun 15 15:59:03 2022  p49 factor: 4851300309778360108532202372441719090235650800183
Wed Jun 15 15:59:03 2022  p105 factor: 221077077225175919276971617206810686111777643676279420101150095385476959098807338209835294028420277278887
Wed Jun 15 15:59:03 2022  elapsed time 00:19:56 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 7x10^177+8 = 23(176)6
#
n: 1072511293227390377590701476978773076100942957240853206573521889039473681096157156342371046433330636198650540347624325358733603735573961737022455401636321
m: 100000000000000000000000000000000000
deg: 5
c5: 175
c0: 2
skew: 0.41
# Murphy_E = 1.234e-10
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4246508 hash collisions in 30059800 relations (27351880 unique)
Msieve: matrix is 888068 x 888296 (302.2 MB)

Sieving start time : 2022/06/15 13:59:04
Sieving end time  : 2022/06/15 15:38:36

Total sieving time: 1hrs 39min 32secs.

Total relation processing time: 0hrs 12min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 54sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6300000,6300000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

224358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974359<180>

451761534547889229887396648592155860161113026875340651<54>
496631424327674941801459894987042037074993388834421825260396454847969152391331001221972976342361283307108766140739026904133509<126>

Number: n
N=224358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974359  ( 180 digits)
SNFS difficulty: 181 digits.
Divisors found:

Tue Jun  7 09:55:53 2022  p54 factor: 451761534547889229887396648592155860161113026875340651
Tue Jun  7 09:55:53 2022  p126 factor: 496631424327674941801459894987042037074993388834421825260396454847969152391331001221972976342361283307108766140739026904133509
Tue Jun  7 09:55:53 2022  elapsed time 00:18:25 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 7x10^181+8 = 23(180)6
#
n: 224358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974359
m: 1000000000000000000000000000000000000
deg: 5
c5: 35
c0: 4
skew: 0.65
# Murphy_E = 9.998e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2870296 hash collisions in 29069688 relations (28031906 unique)
Msieve: matrix is 842826 x 843051 (287.7 MB)

Sieving start time : 2022/06/07 06:14:53
Sieving end time  : 2022/06/07 09:37:02

Total sieving time: 3hrs 22min 9secs.

Total relation processing time: 0hrs 10min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 47sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
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)

148536259350994268441266009270290535636245602219072926051151343482564279668392802854842986797488485538398961487882468493068450680428519434756393139479428027063107<162>

1543391864442388758916619571017884172897<40>
96240146636161553209367585427618156824704352217029143519172463322482694419827589630153641566963713125652849296140988368931<122>

Number: n
N=148536259350994268441266009270290535636245602219072926051151343482564279668392802854842986797488485538398961487882468493068450680428519434756393139479428027063107  ( 162 digits)
SNFS difficulty: 182 digits.
Divisors found:

Sun Jun 19 02:19:23 2022  p40 factor: 1543391864442388758916619571017884172897
Sun Jun 19 02:19:23 2022  p122 factor: 96240146636161553209367585427618156824704352217029143519172463322482694419827589630153641566963713125652849296140988368931
Sun Jun 19 02:19:23 2022  elapsed time 00:19:43 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 7x10^183+8 = 23(182)6
#
n: 148536259350994268441266009270290535636245602219072926051151343482564279668392802854842986797488485538398961487882468493068450680428519434756393139479428027063107
m: 1000000000000000000000000000000000000
deg: 5
c5: 875
c0: 1
skew: 0.26
# Murphy_E = 8.973e-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, 9500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2991619 hash collisions in 28953481 relations (27750111 unique)
Msieve: matrix is 846714 x 846940 (291.5 MB)

Sieving start time : 2022/06/18 22:54:30
Sieving end time  : 2022/06/19 01:58:53

Total sieving time: 3hrs 4min 23secs.

Total relation processing time: 0hrs 10min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 53sec.

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) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

145457479027444720420399346945972584573308512664185587153573813456421962153754157792374606046653868032694288435100777416454049801331857640787<141>

9969496409534980865711952986760657270565771636601386232025910889<64>
14590253414237346360820969485610737453500841326584184232603842205066429333083<77>

145457479027444720420399346945972584573308512664185587153573813456421962153754157792374606046653868032694288435100777416454049801331857640787=9969496409534980865711952986760657270565771636601386232025910889*14590253414237346360820969485610737453500841326584184232603842205066429333083

cado polynomial
n: 145457479027444720420399346945972584573308512664185587153573813456421962153754157792374606046653868032694288435100777416454049801331857640787
skew: 0.81
type: snfs
c0: 5
c5: 14
Y0: 5000000000000000000000000000000000000
Y1: -1
# f(x) = 14*x^5+5
# g(x) = -x+5000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8400000
tasks.lim1 = 8400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 9969496409534980865711952986760657270565771636601386232025910889 14590253414237346360820969485610737453500841326584184232603842205066429333083
Info:Square Root: Total cpu/real time for sqrt: 700.36/217.089
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.07/101.594
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.39999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 251.74/226.292
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 196.40000000000003s
Info:Square Root: Total cpu/real time for sqrt: 700.36/217.089
Info:Generate Factor Base: Total cpu/real time for makefb: 3.52/2.05359
Info:Filtering - Merging: Merged matrix has 1514195 rows and total weight 258551114 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 385.84/107.998
Info:Filtering - Merging: Total cpu/real time for replay: 59.54/50.6846
Info:Linear Algebra: Total cpu/real time for bwc: 37045.1/9563.76
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 23628.33, WCT time 6071.65, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47360 iterations)
Info:Linear Algebra: Lingen CPU time 295.41, WCT time 75.15
Info:Linear Algebra: Mksol: CPU time 12850.68,  WCT time 3312.87, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23808 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 126.69/149.425
Info:Quadratic Characters: Total cpu/real time for characters: 55.71/22.8153
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22635667
Info:Lattice Sieving: Average J: 1894.86 for 1073931 special-q, max bucket fill -bkmult 1.0,1s:1.159900
Info:Lattice Sieving: Total time: 192461s
Info:Generate Free Relations: Total cpu/real time for freerel: 117.52/32.1332
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 397123/13349.8
9969496409534980865711952986760657270565771636601386232025910889*14590253414237346360820969485610737453500841326584184232603842205066429333083

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)

7380491846144365513405112962191670023443934467551601722529549482792753816231733839138923088260951248001479841935731374199724517333519593<136>

21419462763813213862272825280136278569342148020713<50>
344569419295297424501462486882848432336953507496632163474607269189183989470134175189761<87>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 7380491846144365513405112962191670023443934467551601722529549482792753816231733839138923088260951248001479841935731374199724517333519593 (136 digits)
Using B1=38910000, B2=192392390206, polynomial Dickson(12), sigma=1:713348670
Step 1 took 75225ms
Step 2 took 25115ms
********** Factor found in step 2: 21419462763813213862272825280136278569342148020713
Found prime factor of 50 digits: 21419462763813213862272825280136278569342148020713
Prime cofactor 344569419295297424501462486882848432336953507496632163474607269189183989470134175189761 has 87 digits

2048121347187641444173755071153153796130177045043162351529783615640479327508738870036879555561784630369531999143709618572655679090516958546007083<145>

496459506122868266251603163433227<33>
4125454990644803852288819450391750321507473482770983993663962321804569290270831249956045646606751279549002290529<112>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3591500223
Step 1 took 5922ms
********** Factor found in step 1: 496459506122868266251603163433227
Found prime factor of 33 digits: 496459506122868266251603163433227
Prime cofactor 4125454990644803852288819450391750321507473482770983993663962321804569290270831249956045646606751279549002290529 has 112 digits
 

GMP-ECM

1396858914807655143118434414496647176772089906563036012108999253853480978811521905157229178606102912546792513128418636055739010736938591551499837<145>

8380929850996414526188346149490645312851193<43>
166671114022220532487895686967580507370471547681233621690961863602794455543793359086617149508076228709<102>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1396858914807655143118434414496647176772089906563036012108999253853480978811521905157229178606102912546792513128418636055739010736938591551499837 (145 digits)
Using B1=15440000, B2=46847878360, polynomial Dickson(12), sigma=1:3693573390
Step 1 took 32414ms
Step 2 took 12425ms
********** Factor found in step 2: 8380929850996414526188346149490645312851193
Found prime factor of 43 digits: 8380929850996414526188346149490645312851193
Prime cofactor 166671114022220532487895686967580507370471547681233621690961863602794455543793359086617149508076228709 has 102 digits

36310045321427964728510885055831760183505149227861087221059389725366207902129300437400661536841247896848352058416754801032875462625287<134>

187027991640765252249967247173181502987006385969614780887361333917<66>
194142304597755754915529957666997896626177345606060685816028777306611<69>

36310045321427964728510885055831760183505149227861087221059389725366207902129300437400661536841247896848352058416754801032875462625287=187027991640765252249967247173181502987006385969614780887361333917*194142304597755754915529957666997896626177345606060685816028777306611

cado polynomial
n: 36310045321427964728510885055831760183505149227861087221059389725366207902129300437400661536841247896848352058416754801032875462625287
skew: 281272.126
c0: 247015593168361248323113607083110
c1: 1080958088088038876018298043
c2: -4214247919205738698920
c3: -90534665023218427
c4: 10752655410
c5: 214200
Y0: -87326489000770946642710744
Y1: 6549978905325292103
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.368e-07
# f(x) = 214200*x^5+10752655410*x^4-90534665023218427*x^3-4214247919205738698920*x^2+1080958088088038876018298043*x+247015593168361248323113607083110
# g(x) = 6549978905325292103*x-87326489000770946642710744

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: 194142304597755754915529957666997896626177345606060685816028777306611 187027991640765252249967247173181502987006385969614780887361333917
Info:Square Root: Total cpu/real time for sqrt: 422.31/126.238
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 196.36/166.175
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 152.9s
Info:Square Root: Total cpu/real time for sqrt: 422.31/126.238
Info:Filtering - Singleton removal: Total cpu/real time for purge: 93.96/102.758
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17020791
Info:Lattice Sieving: Average J: 3799.96 for 557848 special-q, max bucket fill -bkmult 1.0,1s:1.172810
Info:Lattice Sieving: Total time: 189963s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.18/4.03978
Info:Generate Free Relations: Total cpu/real time for freerel: 247.88/62.8321
Info:Linear Algebra: Total cpu/real time for bwc: 24005/6157.74
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 15243.29, WCT time 3895.28, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38912 iterations)
Info:Linear Algebra: Lingen CPU time 238.25, WCT time 60.48
Info:Linear Algebra: Mksol: CPU time 8313.38,  WCT time 2124.38, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (19456 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 77.47/87.7633
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 87.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6595.04
Info:Polynomial Selection (root optimized): Rootsieve time: 6592.56
Info:Filtering - Merging: Merged matrix has 1241338 rows and total weight 212374469 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 326.17/90.8467
Info:Filtering - Merging: Total cpu/real time for replay: 45.51/39.0847
Info:Quadratic Characters: Total cpu/real time for characters: 41.32/17.1736
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): 54047/39.620/47.983/52.710/0.968
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44283/38.320/42.809/48.600/1.030
Info:Polynomial Selection (size optimized): Total time: 11148.8
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 399126/107172
Info:root: Cleaning up computation data in /tmp/cado.jk8_u9on
194142304597755754915529957666997896626177345606060685816028777306611 187027991640765252249967247173181502987006385969614780887361333917

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)

274789276727462119118648102631939647456907707308878409457023994702277699804394687094251552104711374315277762180537094878388424676475967031542446224427<150>

80263014122109265603031701342190517855259117592087524024572687016649<68>
3423610236084675159087926050139043199430031644305033625109584653801764626947933523<82>

Number: n
N=274789276727462119118648102631939647456907707308878409457023994702277699804394687094251552104711374315277762180537094878388424676475967031542446224427  ( 150 digits)
SNFS difficulty: 190 digits.
Divisors found:

Mon Jul 11 20:16:38 2022  p68 factor: 80263014122109265603031701342190517855259117592087524024572687016649
Mon Jul 11 20:16:38 2022  p82 factor: 3423610236084675159087926050139043199430031644305033625109584653801764626947933523
Mon Jul 11 20:16:38 2022  elapsed time 00:33:28 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.311).
Factorization parameters were as follows:
#
# N = 7x10^190+8 = 23(189)6
#
n: 274789276727462119118648102631939647456907707308878409457023994702277699804394687094251552104711374315277762180537094878388424676475967031542446224427
m: 100000000000000000000000000000000000000
deg: 5
c5: 7
c0: 8
skew: 1.03
# Murphy_E = 4.217e-11
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3148935 hash collisions in 28985071 relations (27582085 unique)
Msieve: matrix is 1181415 x 1181640 (408.3 MB)

Sieving start time : 2022/07/11 13:59:44
Sieving end time  : 2022/07/11 19:42:10

Total sieving time: 5hrs 42min 26secs.

Total relation processing time: 0hrs 23min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 25sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116830] 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)
[    0.153517] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798712)
[    0.152024] smpboot: Total of 16 processors activated (102389.69 BogoMIPS)

12177156953379984230372994110862479080166232248331948686212103000155046520705835890640669174158993005065293706832761417500673188028259855185352820180145937450634675507922785357512908517<185>

25185270523052730281427499999327274951067822367443742641933213055123<68>
483503123074811411848902780844847329756615904492543764965851273143156783817611500399897774909285114736219419585760679<117>

Number: n
N=12177156953379984230372994110862479080166232248331948686212103000155046520705835890640669174158993005065293706832761417500673188028259855185352820180145937450634675507922785357512908517  ( 185 digits)
SNFS difficulty: 192 digits.
Divisors found:

Thu Jun 23 08:19:51 2022  p68 factor: 25185270523052730281427499999327274951067822367443742641933213055123
Thu Jun 23 08:19:51 2022  p117 factor: 483503123074811411848902780844847329756615904492543764965851273143156783817611500399897774909285114736219419585760679
Thu Jun 23 08:19:51 2022  elapsed time 00:48:36 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 7x10^192+8 = 23(191)6
#
n: 12177156953379984230372994110862479080166232248331948686212103000155046520705835890640669174158993005065293706832761417500673188028259855185352820180145937450634675507922785357512908517
m: 100000000000000000000000000000000000000
deg: 5
c5: 175
c0: 2
skew: 0.41
# Murphy_E = 3.019e-11
type: snfs
lss: 1
rlim: 11200000
alim: 11200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3294583 hash collisions in 28650588 relations (27023648 unique)
Msieve: matrix is 1411980 x 1412207 (490.6 MB)

Sieving start time : 2022/06/23 02:38:33
Sieving end time  : 2022/06/23 07:30:46

Total sieving time: 4hrs 52min 13secs.

Total relation processing time: 0hrs 36min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 40sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11200000,11200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

83264882462958855757427377392484363259502885432688911674601524485789629761415470266876509396051830495651865015844736173507038532770378987201940149792476792340590024853758556335006843279<185>

1293099286887806433465794985954495779611<40>
83166236862175669828798199036676546626288651<44>
774253095435390191786670362268733841917007049898897701601978334734150338738590462052615733173923131639<102>

Number: n
N=64391716326252364616243444977781280559915852188112878908043309002937388557085436928390236769656322770225527409460814236319634449894105385884728989  ( 146 digits)
SNFS difficulty: 192 digits.
Divisors found:

Sun Jun 26 04:27:00 2022  p44 factor: 83166236862175669828798199036676546626288651
Sun Jun 26 04:27:00 2022  p102 factor: 774253095435390191786670362268733841917007049898897701601978334734150338738590462052615733173923131639
Sun Jun 26 04:27:00 2022  elapsed time 00:41:12 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 7x10^193+8 = 23(192)6
#
# n: 83264882462958855757427377392484363259502885432688911674601524485789629761415470266876509396051830495651865015844736173507038532770378987201940149792476792340590024853758556335006843279
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 83264882462958855757427377392484363259502885432688911674601524485789629761415470266876509396051830495651865015844736173507038532770378987201940149792476792340590024853758556335006843279 (185 digits)
# Using B1=18590000, B2=70271005360, polynomial Dickson(12), sigma=1:28832599
# Step 1 took 50637ms
# Step 2 took 21607ms
# ********** Factor found in step 2: 1293099286887806433465794985954495779611
# Found prime factor of 40 digits: 1293099286887806433465794985954495779611
# Composite cofactor 64391716326252364616243444977781280559915852188112878908043309002937388557085436928390236769656322770225527409460814236319634449894105385884728989 has 146 digits
#
n: 64391716326252364616243444977781280559915852188112878908043309002937388557085436928390236769656322770225527409460814236319634449894105385884728989
m: 100000000000000000000000000000000000000
deg: 5
c5: 875
c0: 1
skew: 0.26
# Murphy_E = 3.492e-11
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2992511 hash collisions in 28747135 relations (27519448 unique)
Msieve: matrix is 1283969 x 1284194 (450.9 MB)

Sieving start time : 2022/06/25 22:20:27
Sieving end time  : 2022/06/26 03:44:49

Total sieving time: 5hrs 24min 22secs.

Total relation processing time: 0hrs 29min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 9sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

9257410001976124826651546021553468665835863527108977153192336654340723602134948719088832080222860632753501890437022985083321867290453085744645539261461957638113202349485926696410932369<184>

5388606755227282654747246114436596423625930073956685087533818259<64>
1717959840546141755586887931716821347866909841225777029077209293498390992700568856416495375939955917703969629377046841291<121>

Number: n
N=9257410001976124826651546021553468665835863527108977153192336654340723602134948719088832080222860632753501890437022985083321867290453085744645539261461957638113202349485926696410932369  ( 184 digits)
SNFS difficulty: 194 digits.
Divisors found:

Sun Jul 17 06:26:22 2022  p64 factor: 5388606755227282654747246114436596423625930073956685087533818259
Sun Jul 17 06:26:22 2022  p121 factor: 1717959840546141755586887931716821347866909841225777029077209293498390992700568856416495375939955917703969629377046841291
Sun Jul 17 06:26:22 2022  elapsed time 00:55:26 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 7x10^194+8 = 23(193)6
#
n: 9257410001976124826651546021553468665835863527108977153192336654340723602134948719088832080222860632753501890437022985083321867290453085744645539261461957638113202349485926696410932369
m: 500000000000000000000000000000000000000
deg: 5
c5: 14
c0: 5
skew: 0.81
# Murphy_E = 2.717e-11
type: snfs
lss: 1
rlim: 12300000
alim: 12300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12300000/12300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2671537 hash collisions in 27946981 relations (26432986 unique)
Msieve: matrix is 1505115 x 1505340 (523.2 MB)

Sieving start time : 2022/07/17 00:57:52
Sieving end time  : 2022/07/17 05:30:27

Total sieving time: 4hrs 32min 35secs.

Total relation processing time: 0hrs 46min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 36sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12300000,12300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119387] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153505] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798328)
[    0.152037] smpboot: Total of 16 processors activated (102386.62 BogoMIPS)

1508937077721461600595810492476365769063588781696117762164048426365796012255567898192226981350368376715300055847690860306521767749949028481193191616139525134617<160>

5401496537290169031456889948086293<34>

279355372590587170952937924965919498428063651109824228245565656816665059909992304935368511748884276131135574112839598932922869<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3639979449
Step 1 took 4937ms
Step 2 took 2516ms
********** Factor found in step 1: 5401496537290169031456889948086293
Found prime factor of 34 digits: 5401496537290169031456889948086293
Composite cofactor 279355372590587170952937924965919498428063651109824228245565656816665059909992304935368511748884276131135574112839598932922869 has 126 digits

GMP-ECM

279355372590587170952937924965919498428063651109824228245565656816665059909992304935368511748884276131135574112839598932922869<126>

2771215904137088530399215914289079886579<40>
100806065732209299397259302378069173310326758124611379388715330501385057631920651739511<87>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1657381257
Step 1 took 4875ms
Step 2 took 3032ms
********** Factor found in step 2: 2771215904137088530399215914289079886579
Found prime factor of 40 digits: 2771215904137088530399215914289079886579
Prime cofactor 100806065732209299397259302378069173310326758124611379388715330501385057631920651739511 has 87 digits
 

GMP-ECM

2916666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<196>

22705092682229314012333356172597021728065230095841110181237<59>
128458699001456438405368663744474307662723244713245430957413863927584755332304779859766815650143264194485157652761394157186615715017919391<138>

Number: 23336_196
N = 2916666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667 (196 digits)
SNFS difficulty: 197 digits.
Divisors found:
r1=22705092682229314012333356172597021728065230095841110181237 (pp59)
r2=128458699001456438405368663744474307662723244713245430957413863927584755332304779859766815650143264194485157652761394157186615715017919391 (pp138)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 40.77 hours.
Factorization parameters were as follows:
n: 2916666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
m: 1000000000000000000000000000000000000000
deg: 5
c5: 35
c0: 4
skew: 0.65
# Murphy_E = 2.418e-11
type: snfs
lss: 1
rlim: 13200000
alim: 13200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13200000/13200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 26223503
Relations: 2624466 relations
Pruned matrix : 1738813 x 1739039
Total sieving time: 39.27 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.22 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: snfs,197,5,0,0,0,0,0,0,0,0,13200000,13200000,28,28,55,55,2.5,2.5,100000
total time: 40.77 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

1891323472513125784899241092947200733185053573088304271797232831646272795851625133203210278424430279332265546138565922890201647504857999433683714516069764978741524168952466177732530115273463759<193>

25274919587933929345634350242656780651<38>
74830049050523208936834811412146244912373458113966621030468089454250291800083810855965936761109569589408792529820867418146514914734680644075039059766052909<155>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1891323472513125784899241092947200733185053573088304271797232831646272795851625133203210278424430279332265546138565922890201647504857999433683714516069764978741524168952466177732530115273463759 (193 digits)
Using B1=20750000, B2=70272954580, polynomial Dickson(12), sigma=1:3414900179
Step 1 took 57313ms
********** Factor found in step 1: 25274919587933929345634350242656780651
Found prime factor of 38 digits: 25274919587933929345634350242656780651
Prime cofactor 74830049050523208936834811412146244912373458113966621030468089454250291800083810855965936761109569589408792529820867418146514914734680644075039059766052909 has 155 digits

16120853726522333138066754370494482917953083869572777483823039632738193999900493442398707263498603092872269070301029822141639905504168749729173530395446875901696442651<167>

36538814731846949608616521695655568078764440923912836176931418177085647922899337761<83>
441198047742679544122859918863408216911026682934338681661088382016980610837193282491<84>

Number: n
N=16120853726522333138066754370494482917953083869572777483823039632738193999900493442398707263498603092872269070301029822141639905504168749729173530395446875901696442651  ( 167 digits)
SNFS difficulty: 200 digits.
Divisors found:

Tue Sep  6 06:02:56 2022  p83 factor: 36538814731846949608616521695655568078764440923912836176931418177085647922899337761
Tue Sep  6 06:02:56 2022  p84 factor: 441198047742679544122859918863408216911026682934338681661088382016980610837193282491
Tue Sep  6 06:02:56 2022  elapsed time 01:17:04 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 7x10^200+8 = 23(199)6
#
n: 16120853726522333138066754370494482917953083869572777483823039632738193999900493442398707263498603092872269070301029822141639905504168749729173530395446875901696442651
m: 10000000000000000000000000000000000000000
deg: 5
c5: 7
c0: 8
skew: 1.03
# Murphy_E = 1.618e-11
type: snfs
lss: 1
rlim: 13600000
alim: 13600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 19600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3553664 hash collisions in 28158398 relations (26137343 unique)
Msieve: matrix is 1869897 x 1870123 (651.8 MB)

Sieving start time : 2022/09/05 22:10:34
Sieving end time  : 2022/09/06 04:45:08

Total sieving time: 6hrs 34min 34secs.

Total relation processing time: 1hrs 6min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 15sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,13600000,13600000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

143766616340135712399731000337974776927610469035710477365958989874393982635950230790603019624718196893885285412880470134908949726539465250623002362865953814276205737750303840474590852532748802917<195>

1155288511593202059496309960654930376900020270308761<52>
24514028637680736994256196790402727897567759145591217825081638239<65>
5076365777419299572886939966745315105251148522577828815573547136088942087454323<79>

Number: n
N=143766616340135712399731000337974776927610469035710477365958989874393982635950230790603019624718196893885285412880470134908949726539465250623002362865953814276205737750303840474590852532748802917  ( 195 digits)
SNFS difficulty: 201 digits.
Divisors found:

Wed Nov  2 18:13:20 2022  found factor: 5076365777419299572886939966745315105251148522577828815573547136088942087454323
Wed Nov  2 18:15:58 2022  p52 factor: 1155288511593202059496309960654930376900020270308761
Wed Nov  2 18:15:58 2022  p65 factor: 24514028637680736994256196790402727897567759145591217825081638239
Wed Nov  2 18:15:58 2022  p79 factor: 5076365777419299572886939966745315105251148522577828815573547136088942087454323
Wed Nov  2 18:15:58 2022  elapsed time 01:34:37 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 7x10^201+8 = 23(200)6
#
n: 143766616340135712399731000337974776927610469035710477365958989874393982635950230790603019624718196893885285412880470134908949726539465250623002362865953814276205737750303840474590852532748802917
m: 10000000000000000000000000000000000000000
deg: 5
c5: 35
c0: 4
skew: 0.65
# Murphy_E = 1.494e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 28000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2005243 hash collisions in 14206787 relations (12925192 unique)
Msieve: matrix is 2115569 x 2115794 (738.5 MB)

Sieving start time : 2022/11/02 07:56:05
Sieving end time  : 2022/11/02 16:40:58

Total sieving time: 8hrs 44min 53secs.

Total relation processing time: 1hrs 24min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 15sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,27,27,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

618949970300570557836376236206026449277593114565084750415779245519528751709168765686173151259371382387866678214150234330319405848062557705459430922099328286280698519075631743194605164122289<189>

4544547822376022619192382270364278924601347732894253<52>
113145109106680306302564296073653274728406364435325129<54>
1203729996162588764602868369009870916757016072860683974974780362590179573736928943597<85>

Number: n
N=618949970300570557836376236206026449277593114565084750415779245519528751709168765686173151259371382387866678214150234330319405848062557705459430922099328286280698519075631743194605164122289  ( 189 digits)
SNFS difficulty: 202 digits.
Divisors found:

Wed Jun 21 15:13:31 2023  prp52 factor: 4544547822376022619192382270364278924601347732894253
Wed Jun 21 15:13:31 2023  prp54 factor: 113145109106680306302564296073653274728406364435325129
Wed Jun 21 15:13:31 2023  prp85 factor: 1203729996162588764602868369009870916757016072860683974974780362590179573736928943597
Wed Jun 21 15:13:31 2023  elapsed time 04:03:18 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
#
# N = 7x10^202+8 = 23(201)6
#
n: 618949970300570557836376236206026449277593114565084750415779245519528751709168765686173151259371382387866678214150234330319405848062557705459430922099328286280698519075631743194605164122289
m: 10000000000000000000000000000000000000000
deg: 5
c5: 175
c0: 2
skew: 0.41
# Murphy_E = 1.156e-11
type: snfs
lss: 1
rlim: 16400000
alim: 16400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16400000/16400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 48200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2134714 hash collisions in 14424668 relations (12991673 unique)
Msieve: matrix is 2711173 x 2711398 (769.2 MB)

Sieving start time: 2023/06/20 16:05:09
Sieving end time  : 2023/06/21 11:09:56

Total sieving time: 19hrs 4min 47secs.

Total relation processing time: 3hrs 48min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 40sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16400000,16400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3570884065667125939950528853172310073086491787882482873150501614456598413700596069044161679588818277463169377466145446046696869596085563<136>

362764668844651734450014683271870803<36>
9843527698107504771212350896346907651699088450247936331032012776854136691917604707590822723656492921<100>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:95114679
Step 1 took 5906ms
Step 2 took 3406ms
********** Factor found in step 2: 362764668844651734450014683271870803
Found prime factor of 36 digits: 362764668844651734450014683271870803
Prime cofactor 9843527698107504771212350896346907651699088450247936331032012776854136691917604707590822723656492921 has 100 digits

GMP-ECM

11383265218270864333997537162855240772846532270771027387546571203730109869462945006365522383648709679875592881370456666276075054953234197319122158967435342455309070765454331<173>

1133102418191963996685920172758333467311285304368321886454762669711<67>
10046104425789314640134241763790944987230692938290382287485041981573422769438871287556418554175046446846421<107>

Number: n
N=11383265218270864333997537162855240772846532270771027387546571203730109869462945006365522383648709679875592881370456666276075054953234197319122158967435342455309070765454331  ( 173 digits)
SNFS difficulty: 204 digits.
Divisors found:

Tue Aug 29 23:27:51 2023  prp67 factor: 1133102418191963996685920172758333467311285304368321886454762669711
Tue Aug 29 23:27:51 2023  prp107 factor: 10046104425789314640134241763790944987230692938290382287485041981573422769438871287556418554175046446846421
Tue Aug 29 23:27:51 2023  elapsed time 02:47:23 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.082).
Factorization parameters were as follows:
#
# N = 7x10^204+8 = 23(203)6
#
n: 11383265218270864333997537162855240772846532270771027387546571203730109869462945006365522383648709679875592881370456666276075054953234197319122158967435342455309070765454331
m: 50000000000000000000000000000000000000000
deg: 5
c5: 14
c0: 5
skew: 0.81
# Murphy_E = 1.036e-11
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3256270 hash collisions in 18233547 relations (15717450 unique)
Msieve: matrix is 2280885 x 2281110 (640.6 MB)

Sieving start time: 2023/08/29 04:34:38
Sieving end time  : 2023/08/29 20:40:03

Total sieving time: 16hrs 5min 25secs.

Total relation processing time: 2hrs 40min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 25sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18000000,18000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

17799556674634146338533185197628712901479927582866535324098470168053632864608468927885822449702619554997505169596786718373047553355757951882748551808817557396933217122278463226358595519<185>

50790743108187224243191102306832665622873670330214088534417<59>
350448833495506450917445481726112127747644672204179988170276280512662520578213964621070562861456971491235547431504643616713807<126>

Number: n
N=17799556674634146338533185197628712901479927582866535324098470168053632864608468927885822449702619554997505169596786718373047553355757951882748551808817557396933217122278463226358595519  ( 185 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sun Dec  3 14:18:34 2023  prp59 factor: 50790743108187224243191102306832665622873670330214088534417
Sun Dec  3 14:18:34 2023  prp126 factor: 350448833495506450917445481726112127747644672204179988170276280512662520578213964621070562861456971491235547431504643616713807
Sun Dec  3 14:18:34 2023  elapsed time 02:31:26 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.098).
Factorization parameters were as follows:
#
# N = 7x10^205+8 = 23(204)6
#
n: 17799556674634146338533185197628712901479927582866535324098470168053632864608468927885822449702619554997505169596786718373047553355757951882748551808817557396933217122278463226358595519
m: 100000000000000000000000000000000000000000
deg: 5
c5: 7
c0: 8
skew: 1.03
# Murphy_E = 9.959e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3450674 hash collisions in 20188238 relations (17197312 unique)
Msieve: matrix is 2163007 x 2163232 (608.1 MB)

Sieving start time: 2023/12/02 18:52:11
Sieving end time  : 2023/12/03 11:46:42

Total sieving time: 16hrs 54min 31secs.

Total relation processing time: 2hrs 23min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 13sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18900000,18900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

45378113739461500700232432400640377100375660542163256775581378034062549015578483873236878022523852265165185547913852468517591232351159298137334684862580172237818768827831302967507<179>

28896489847703461952324509624901387809524709064903601347<56>
1570367680594531097608648993055149487649722506289075330507643176535097103777354246776414170438214613261536877117902405487281<124>

Number: n
N=45378113739461500700232432400640377100375660542163256775581378034062549015578483873236878022523852265165185547913852468517591232351159298137334684862580172237818768827831302967507  ( 179 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu Mar  7 21:59:13 2024  prp56 factor: 28896489847703461952324509624901387809524709064903601347
Thu Mar  7 21:59:13 2024  prp124 factor: 1570367680594531097608648993055149487649722506289075330507643176535097103777354246776414170438214613261536877117902405487281
Thu Mar  7 21:59:13 2024  elapsed time 02:58:50 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.085).
Factorization parameters were as follows:
#
# N = 7x10^206+8 = 23(205)6
#
n: 45378113739461500700232432400640377100375660542163256775581378034062549015578483873236878022523852265165185547913852468517591232351159298137334684862580172237818768827831302967507
m: 100000000000000000000000000000000000000000
deg: 5
c5: 35
c0: 4
skew: 0.65
# Murphy_E = 9.195e-12
type: snfs
lss: 1
rlim: 19400000
alim: 19400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3368313 hash collisions in 18953781 relations (16368051 unique)
Msieve: matrix is 2385456 x 2385681 (672.0 MB)

Sieving start time: 2024/03/06 20:25:49
Sieving end time  : 2024/03/07 18:59:57

Total sieving time: 22hrs 34min 8secs.

Total relation processing time: 2hrs 50min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 33sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19400000,19400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

23568955498823363546980862942452377380133390489588664863278569385061660528546982714260839510275540191260974903092382137410813406134049125811101224282777991862180870799<167>

8335062132132948235807027014264487467300683039<46>
107648809898545976726747279283408817801385664133777069173863<60>
26267712964789684228757388445270512810323401314129208319937607<62>

Number: n
N=23568955498823363546980862942452377380133390489588664863278569385061660528546982714260839510275540191260974903092382137410813406134049125811101224282777991862180870799  ( 167 digits)
SNFS difficulty: 207 digits.
Divisors found:

Fri Jun 14 04:52:24 2024  prp46 factor: 8335062132132948235807027014264487467300683039
Fri Jun 14 04:52:24 2024  prp60 factor: 107648809898545976726747279283408817801385664133777069173863
Fri Jun 14 04:52:24 2024  prp62 factor: 26267712964789684228757388445270512810323401314129208319937607
Fri Jun 14 04:52:24 2024  elapsed time 03:21:01 (Msieve 1.44 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.909).
Factorization parameters were as follows:
#
# N = 7x10^207+8 = 23(206)6
#
n: 23568955498823363546980862942452377380133390489588664863278569385061660528546982714260839510275540191260974903092382137410813406134049125811101224282777991862180870799
m: 100000000000000000000000000000000000000000
deg: 5
c5: 175
c0: 2
skew: 0.41
# Murphy_E = 7.113e-12
type: snfs
lss: 1
rlim: 19900000
alim: 19900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19900000/19900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49950000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4679671 hash collisions in 21641662 relations (17048798 unique)
Msieve: matrix is 2461493 x 2461718 (690.5 MB)

Sieving start time: 2024/06/13 05:21:38
Sieving end time  : 2024/06/14 01:30:58

Total sieving time: 20hrs 9min 20secs.

Total relation processing time: 3hrs 5min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 15sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19900000,19900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

310773656388917957057318357761382030523142254975300129481770318023455473956867270663969207026633713028768869143559184177548794708292064010457222954850141182685865970783857502023<177>

121847294993549260161503953610899193433962624174785421352715706487311<69>
2550517485064979750326076320728159768177758206966902901203890122866912826161015209052870443945948953728741193<109>

08/18/24 09:11:04 v1.34.5 @ RYZEN-9,
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, ****************************
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, Starting factorization of 70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000008
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, using pretesting plan: normal
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, ****************************
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, div: found prime factor = 2
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, div: found prime factor = 2
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, div: found prime factor = 2
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, div: found prime factor = 3
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, div: found prime factor = 61
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, div: found prime factor = 919
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, div: found prime factor = 1637
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, div: found prime factor = 1861
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C197
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C197
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C197
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C197
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 60.62
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C197 input, B1=2K, B2=gmp-ecm default
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 60.62
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, prp20 = 54954366004372522783 (curve 3 stg2 B1=11000 sigma=1908690107 thread=0)
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, Finished 3 curves using Lenstra ECM method on C197 input, B1=11K, B2=gmp-ecm default
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.38
08/18/24 09:11:04 v1.34.5 @ RYZEN-9, scheduled 71 curves at B1=11000 toward target pretesting depth of 54.46
08/18/24 09:11:06 v1.34.5 @ RYZEN-9, Finished 71 curves using Lenstra ECM method on C177 input, B1=11K, B2=gmp-ecm default
08/18/24 09:11:06 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
08/18/24 09:11:06 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 54.46
08/18/24 09:11:36 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c209: 70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000008
08/18/24 09:11:36 v1.34.5 @ RYZEN-9, nfs: input divides 7*10^208 + 8
08/18/24 09:11:36 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 310773656388917957057318357761382030523142254975300129481770318023455473956867270663969207026633713028768869143559184177548794708292064010457222954850141182685865970783857502023
08/18/24 09:11:36 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c177: 310773656388917957057318357761382030523142254975300129481770318023455473956867270663969207026633713028768869143559184177548794708292064010457222954850141182685865970783857502023
08/18/24 09:11:36 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 310773656388917957057318357761382030523142254975300129481770318023455473956867270663969207026633713028768869143559184177548794708292064010457222954850141182685865970783857502023
# 7*10^208+8, difficulty: 211.85, anorm: 5.92e+031, rnorm: 1.97e+047
# scaled difficulty: 214.43, suggest sieving rational side
# size = 2.548e-014, alpha = -0.201, combined = 8.215e-012, rroots = 1
type: snfs
size: 211
skew: 0.2580
c5: 875
c0: 1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 310773656388917957057318357761382030523142254975300129481770318023455473956867270663969207026633713028768869143559184177548794708292064010457222954850141182685865970783857502023
# 7*10^208+8, difficulty: 210.24, anorm: 2.65e+031, rnorm: 4.40e+047
# scaled difficulty: 212.95, suggest sieving rational side
# size = 2.330e-014, alpha = 0.067, combined = 7.646e-012, rroots = 1
type: snfs
size: 210
skew: 1.2899
c5: 7
c0: 25
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
n: 310773656388917957057318357761382030523142254975300129481770318023455473956867270663969207026633713028768869143559184177548794708292064010457222954850141182685865970783857502023
# 7*10^208+8, difficulty: 210.24, anorm: 3.74e+037, rnorm: 4.76e+040
# scaled difficulty: 210.24, suggest sieving algebraic side
# size = 1.799e-010, alpha = 0.583, combined = 5.090e-012, rroots = 0
type: snfs
size: 210
skew: 1.1015
c6: 14
c0: 25
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
08/18/24 09:11:38 v1.34.5 @ RYZEN-9, test: fb generation took 1.8282 seconds
08/18/24 09:11:38 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 22600000-22602000
skew: 0.2580
c5: 875
c0: 1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
08/18/24 09:14:52 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
08/18/24 09:14:53 v1.34.5 @ RYZEN-9, test: fb generation took 1.6719 seconds
08/18/24 09:14:53 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 1.2899
c5: 7
c0: 25
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/18/24 09:18:03 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
08/18/24 09:18:05 v1.34.5 @ RYZEN-9, test: fb generation took 2.4063 seconds
08/18/24 09:18:05 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the algebraic side over range 21400000-21402000
skew: 1.1015
c6: 14
c0: 25
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/18/24 09:21:05 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
08/18/24 09:21:05 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 310773656388917957057318357761382030523142254975300129481770318023455473956867270663969207026633713028768869143559184177548794708292064010457222954850141182685865970783857502023
# 7*10^208+8, difficulty: 210.24, anorm: 2.65e+031, rnorm: 4.40e+047
# scaled difficulty: 212.95, suggest sieving rational side
# size = 2.330e-014, alpha = 0.067, combined = 7.646e-012, rroots = 1
type: snfs
size: 210
skew: 1.2899
c5: 7
c0: 25
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
08/19/24 07:29:41 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
08/19/24 07:31:45 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22226253
08/19/24 08:49:52 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
08/19/24 08:52:05 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23439435
08/19/24 10:09:30 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
08/19/24 10:11:51 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24639504
08/19/24 11:41:52 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
08/19/24 11:44:19 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 26026006
08/19/24 13:14:15 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
08/19/24 13:18:34 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
08/19/24 16:15:02 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
08/19/24 16:17:29 v1.34.5 @ RYZEN-9, prp69 = 121847294993549260161503953610899193433962624174785421352715706487311
08/19/24 16:17:29 v1.34.5 @ RYZEN-9, prp109 = 2550517485064979750326076320728159768177758206966902901203890122866912826161015209052870443945948953728741193
08/19/24 16:17:30 v1.34.5 @ RYZEN-9, NFS elapsed time = 111953.4373 seconds.
08/19/24 16:17:30 v1.34.5 @ RYZEN-9,
08/19/24 16:17:30 v1.34.5 @ RYZEN-9,
08/18/24 09:21:05 v1.34.5 @ RYZEN-9, test: test sieving took 568.23 seconds

YAFU

658875838574169059902120514718221307062595574038240885036389492934644331056448085967960713261827390948349794254033333855848660322724166478913281251654600999485409842539930979140652767<183>

1554988952892118102996440701286488810375602504869912708667696652151485573158344378941<85>
423717375836483189601624404422223798225632801132407750300677559588376585882557439195202154099718987<99>

Number: n
N=658875838574169059902120514718221307062595574038240885036389492934644331056448085967960713261827390948349794254033333855848660322724166478913281251654600999485409842539930979140652767  ( 183 digits)
SNFS difficulty: 209 digits.
Divisors found:

Wed Nov 13 08:08:05 2024  prp85 factor: 1554988952892118102996440701286488810375602504869912708667696652151485573158344378941
Wed Nov 13 08:08:05 2024  prp99 factor: 423717375836483189601624404422223798225632801132407750300677559588376585882557439195202154099718987
Wed Nov 13 08:08:05 2024  elapsed time 03:56:45 (Msieve 1.44 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.135).
Factorization parameters were as follows:
#
# N = 7x10^209+8 = 23(208)6
#
n: 658875838574169059902120514718221307062595574038240885036389492934644331056448085967960713261827390948349794254033333855848660322724166478913281251654600999485409842539930979140652767
m: 500000000000000000000000000000000000000000
deg: 5
c5: 14
c0: 5
skew: 0.81
# Murphy_E = 6.358e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 59650000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8382998 hash collisions in 27867613 relations (17577754 unique)
Msieve: matrix is 2384565 x 2384790 (668.9 MB)

Sieving start time: 2024/11/11 19:38:49
Sieving end time  : 2024/11/13 04:04:58

Total sieving time: 32hrs 26min 9secs.

Total relation processing time: 3hrs 36min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 27sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

230786126125282700012820337833968481683942944732674972861067931960607497251375360717706283195386677950126258410651774023772511656098446279311165101861007476152367335634336291<174>

25114261961919220936142232008225939924572009898497700744859974475395217749783217353148137545879100912795195494814908692174718657158259341285779436204936695900188428928489153733<176>

19647555902004550640894796004616358800563<41>
1278238478474410507970610406425408447824679464902696244836932659042714307394284452094259555829531986386576362502864194800593382488167591<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:8996393988983294282
Step 1 took 16156ms
********** Factor found in step 2: 19647555902004550640894796004616358800563
Found prime factor of 41 digits: 19647555902004550640894796004616358800563
Prime cofactor 1278238478474410507970610406425408447824679464902696244836932659042714307394284452094259555829531986386576362502864194800593382488167591 has 136 digits

916643028692660573370466392410493917401720519288982564004158206511011888792795307541431370803298071095221815384035167870790733833667497419395021278383106532438019408329722048149991276565479775999663999857<204>

127537402360361143215825331822831030611174389892465665463676871035243673382743153282224085464617380287373647404866121439461002685655360966713068100333679672799828820299714352661284763721667377<192>

28597430719007745280848527607942911<35>

4459750374553450498619252871645036964542065406171515774130850263756489684713332950535428196529216073155890835542562575372309163743372647267523011557506797007<157>

Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Mon Nov 20 06:36:51 2023
Input number is 127537402360361143215825331822831030611174389892465665463676871035243673382743153282224085464617380287373647404866121439461002685655360966713068100333679672799828820299714352661284763721667377 (192 digits)
Using mpz_mod
Using lmax = 16777216 with NTT which takes about 4608MB of memory
Using B1=4000000000-4000000000, B2=2114508355760232, polynomial x^1
P = 111546435, l = 16777216, s_1 = 7299072, k = s_2 = 5, m_1 = 13
Probability of finding a factor of n digits (assuming one exists):
20    25      30      35      40      45      50      55      60      65
0.77    0.5     0.25    0.11    0.04    0.013   0.0039  0.0011  0.00026 6.1e-05
Step 1 took 0ms
Computing F from factored S_1 took 79829ms
Computing h took 8613ms
Computing DCT-I of h took 26529ms
Multi-point evaluation 1 of 5:
Computing g_i took 31268ms
Computing g*h took 54982ms
Computing gcd of coefficients and N took 12943ms
Step 2 took 214712ms
********** Factor found in step 2: 28597430719007745280848527607942911
Found prime factor of 35 digits: 28597430719007745280848527607942911
Composite cofactor 4459750374553450498619252871645036964542065406171515774130850263756489684713332950535428196529216073155890835542562575372309163743372647267523011557506797007 has 157 digits

GMP-ECM 7.0.6, ecm-db 0.1

1080 Ti for PM1 stage1

4459750374553450498619252871645036964542065406171515774130850263756489684713332950535428196529216073155890835542562575372309163743372647267523011557506797007<157>

5737204033739959179788102088063946701216177407<46>
5979868457286799314996696342201257878440032201<46>
129992598404214889434259549173267432182862995644023419780759490601<66>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:14508298519180341124
Step 1 took 70938ms
********** Factor found in step 2: 5979868457286799314996696342201257878440032201
Found prime factor of 46 digits: 5979868457286799314996696342201257878440032201
Composite cofactor 745794059921000244354589971846202018400534628924828980740637851905916972857943573643759465521851552469765051607 has 111 digits

Fri Oct 04 03:49:05 2024  
Fri Oct 04 03:49:05 2024  
Fri Oct 04 03:49:05 2024  Msieve v. 1.54 (SVN Unversioned directory)
Fri Oct 04 03:49:05 2024  random seeds: 120ae1a0 ab7215ce
Fri Oct 04 03:49:05 2024  factoring 745794059921000244354589971846202018400534628924828980740637851905916972857943573643759465521851552469765051607 (111 digits)
Fri Oct 04 03:49:05 2024  searching for 15-digit factors
Fri Oct 04 03:49:05 2024  commencing number field sieve (111-digit input)
Fri Oct 04 03:49:05 2024  R0: -4944321593000090379323
Fri Oct 04 03:49:05 2024  R1: 6863238039709
Fri Oct 04 03:49:05 2024  A0: -20251098952282436097039984
Fri Oct 04 03:49:05 2024  A1: 3794759792134960302204
Fri Oct 04 03:49:05 2024  A2: 9708663430620668
Fri Oct 04 03:49:05 2024  A3: -4408376825311
Fri Oct 04 03:49:05 2024  A4: 286500536
Fri Oct 04 03:49:05 2024  A5: 252
Fri Oct 04 03:49:05 2024  skew 37180.03, size 1.467e-010, alpha -5.637, combined = 9.754e-010 rroots = 3
Fri Oct 04 03:49:05 2024  
Fri Oct 04 03:49:05 2024  commencing relation filtering
Fri Oct 04 03:49:05 2024  estimated available RAM is 32388.7 MB
Fri Oct 04 03:49:05 2024  commencing duplicate removal, pass 1
Fri Oct 04 03:49:46 2024  skipped 1 relations with composite factors
Fri Oct 04 03:49:46 2024  found 886396 hash collisions in 7605990 relations
Fri Oct 04 03:49:54 2024  added 57700 free relations
Fri Oct 04 03:49:54 2024  commencing duplicate removal, pass 2
Fri Oct 04 03:49:57 2024  found 615934 duplicates and 7047756 unique relations
Fri Oct 04 03:49:57 2024  memory use: 26.6 MB
Fri Oct 04 03:49:57 2024  reading ideals above 100000
Fri Oct 04 03:49:57 2024  commencing singleton removal, initial pass
Fri Oct 04 03:50:40 2024  memory use: 188.3 MB
Fri Oct 04 03:50:40 2024  reading all ideals from disk
Fri Oct 04 03:50:40 2024  memory use: 233.3 MB
Fri Oct 04 03:50:40 2024  keeping 7853163 ideals with weight <= 200, target excess is 35673
Fri Oct 04 03:50:40 2024  commencing in-memory singleton removal
Fri Oct 04 03:50:41 2024  begin with 7047756 relations and 7853163 unique ideals
Fri Oct 04 03:50:42 2024  reduce to 2234761 relations and 2104311 ideals in 16 passes
Fri Oct 04 03:50:42 2024  max relations containing the same ideal: 90
Fri Oct 04 03:50:43 2024  removing 353206 relations and 308671 ideals in 44535 cliques
Fri Oct 04 03:50:43 2024  commencing in-memory singleton removal
Fri Oct 04 03:50:43 2024  begin with 1881555 relations and 2104311 unique ideals
Fri Oct 04 03:50:43 2024  reduce to 1836025 relations and 1748865 ideals in 9 passes
Fri Oct 04 03:50:43 2024  max relations containing the same ideal: 81
Fri Oct 04 03:50:44 2024  removing 269831 relations and 225296 ideals in 44535 cliques
Fri Oct 04 03:50:44 2024  commencing in-memory singleton removal
Fri Oct 04 03:50:44 2024  begin with 1566194 relations and 1748865 unique ideals
Fri Oct 04 03:50:44 2024  reduce to 1533043 relations and 1489636 ideals in 8 passes
Fri Oct 04 03:50:44 2024  max relations containing the same ideal: 75
Fri Oct 04 03:50:45 2024  relations with 0 large ideals: 125
Fri Oct 04 03:50:45 2024  relations with 1 large ideals: 415
Fri Oct 04 03:50:45 2024  relations with 2 large ideals: 6510
Fri Oct 04 03:50:45 2024  relations with 3 large ideals: 48257
Fri Oct 04 03:50:45 2024  relations with 4 large ideals: 181838
Fri Oct 04 03:50:45 2024  relations with 5 large ideals: 382255
Fri Oct 04 03:50:45 2024  relations with 6 large ideals: 459981
Fri Oct 04 03:50:45 2024  relations with 7+ large ideals: 453662
Fri Oct 04 03:50:45 2024  commencing 2-way merge
Fri Oct 04 03:50:45 2024  reduce to 868487 relation sets and 825080 unique ideals
Fri Oct 04 03:50:45 2024  commencing full merge
Fri Oct 04 03:50:59 2024  memory use: 101.7 MB
Fri Oct 04 03:50:59 2024  found 384787 cycles, need 383280
Fri Oct 04 03:50:59 2024  weight of 383280 cycles is about 34509654 (90.04/cycle)
Fri Oct 04 03:50:59 2024  distribution of cycle lengths:
Fri Oct 04 03:50:59 2024  1 relations: 33945
Fri Oct 04 03:50:59 2024  2 relations: 31677
Fri Oct 04 03:50:59 2024  3 relations: 31475
Fri Oct 04 03:50:59 2024  4 relations: 29767
Fri Oct 04 03:50:59 2024  5 relations: 28532
Fri Oct 04 03:50:59 2024  6 relations: 26405
Fri Oct 04 03:50:59 2024  7 relations: 23964
Fri Oct 04 03:50:59 2024  8 relations: 22474
Fri Oct 04 03:50:59 2024  9 relations: 20006
Fri Oct 04 03:50:59 2024  10+ relations: 135035
Fri Oct 04 03:50:59 2024  heaviest cycle: 28 relations
Fri Oct 04 03:50:59 2024  commencing cycle optimization
Fri Oct 04 03:51:00 2024  start with 3162414 relations
Fri Oct 04 03:51:06 2024  pruned 97594 relations
Fri Oct 04 03:51:06 2024  memory use: 93.3 MB
Fri Oct 04 03:51:06 2024  distribution of cycle lengths:
Fri Oct 04 03:51:06 2024  1 relations: 33945
Fri Oct 04 03:51:06 2024  2 relations: 32392
Fri Oct 04 03:51:06 2024  3 relations: 32526
Fri Oct 04 03:51:06 2024  4 relations: 30636
Fri Oct 04 03:51:06 2024  5 relations: 29421
Fri Oct 04 03:51:06 2024  6 relations: 27057
Fri Oct 04 03:51:06 2024  7 relations: 24782
Fri Oct 04 03:51:06 2024  8 relations: 22818
Fri Oct 04 03:51:06 2024  9 relations: 20333
Fri Oct 04 03:51:06 2024  10+ relations: 129370
Fri Oct 04 03:51:06 2024  heaviest cycle: 28 relations
Fri Oct 04 03:51:06 2024  RelProcTime: 121
Fri Oct 04 03:51:06 2024  elapsed time 00:02:01
Fri Oct 04 03:51:06 2024  
Fri Oct 04 03:51:06 2024  
Fri Oct 04 03:51:06 2024  Msieve v. 1.54 (SVN Unversioned directory)
Fri Oct 04 03:51:06 2024  random seeds: e1c80150 0f097fbc
Fri Oct 04 03:51:06 2024  factoring 745794059921000244354589971846202018400534628924828980740637851905916972857943573643759465521851552469765051607 (111 digits)
Fri Oct 04 03:51:06 2024  searching for 15-digit factors
Fri Oct 04 03:51:06 2024  commencing number field sieve (111-digit input)
Fri Oct 04 03:51:06 2024  R0: -4944321593000090379323
Fri Oct 04 03:51:06 2024  R1: 6863238039709
Fri Oct 04 03:51:06 2024  A0: -20251098952282436097039984
Fri Oct 04 03:51:06 2024  A1: 3794759792134960302204
Fri Oct 04 03:51:06 2024  A2: 9708663430620668
Fri Oct 04 03:51:06 2024  A3: -4408376825311
Fri Oct 04 03:51:06 2024  A4: 286500536
Fri Oct 04 03:51:06 2024  A5: 252
Fri Oct 04 03:51:06 2024  skew 37180.03, size 1.467e-010, alpha -5.637, combined = 9.754e-010 rroots = 3
Fri Oct 04 03:51:06 2024  
Fri Oct 04 03:51:06 2024  commencing linear algebra
Fri Oct 04 03:51:07 2024  read 383280 cycles
Fri Oct 04 03:51:07 2024  cycles contain 1476646 unique relations
Fri Oct 04 03:51:12 2024  read 1476646 relations
Fri Oct 04 03:51:13 2024  using 20 quadratic characters above 4294917295
Fri Oct 04 03:51:19 2024  building initial matrix
Fri Oct 04 03:51:29 2024  memory use: 181.5 MB
Fri Oct 04 03:51:29 2024  read 383280 cycles
Fri Oct 04 03:51:30 2024  matrix is 383103 x 383280 (140.5 MB) with weight 43794029 (114.26/col)
Fri Oct 04 03:51:30 2024  sparse part has weight 32623048 (85.12/col)
Fri Oct 04 03:51:32 2024  filtering completed in 2 passes
Fri Oct 04 03:51:32 2024  matrix is 383016 x 383193 (140.5 MB) with weight 43789458 (114.28/col)
Fri Oct 04 03:51:32 2024  sparse part has weight 32621377 (85.13/col)
Fri Oct 04 03:51:33 2024  matrix starts at (0, 0)
Fri Oct 04 03:51:33 2024  matrix is 383016 x 383193 (140.5 MB) with weight 43789458 (114.28/col)
Fri Oct 04 03:51:33 2024  sparse part has weight 32621377 (85.13/col)
Fri Oct 04 03:51:33 2024  saving the first 112 matrix rows for later
Fri Oct 04 03:51:33 2024  matrix includes 128 packed rows
Fri Oct 04 03:51:33 2024  matrix is 382904 x 383193 (127.3 MB) with weight 31644107 (82.58/col)
Fri Oct 04 03:51:33 2024  sparse part has weight 28771957 (75.08/col)
Fri Oct 04 03:51:33 2024  using block size 8192 and superblock size 589824 for processor cache size 12288 kB
Fri Oct 04 03:51:35 2024  commencing Lanczos iteration (10 threads)
Fri Oct 04 03:51:35 2024  memory use: 141.9 MB
Fri Oct 04 03:51:43 2024  linear algebra at 3.2%, ETA 0h 4m
Fri Oct 04 03:56:20 2024  lanczos halted after 3011 iterations (dim = 382904)
Fri Oct 04 03:56:21 2024  recovered 30 nontrivial dependencies
Fri Oct 04 03:56:21 2024  BLanczosTime: 315
Fri Oct 04 03:56:21 2024  elapsed time 00:05:15
Fri Oct 04 03:56:21 2024  
Fri Oct 04 03:56:21 2024  
Fri Oct 04 03:56:21 2024  Msieve v. 1.54 (SVN Unversioned directory)
Fri Oct 04 03:56:21 2024  random seeds: ee682ca8 5bb0016f
Fri Oct 04 03:56:21 2024  factoring 745794059921000244354589971846202018400534628924828980740637851905916972857943573643759465521851552469765051607 (111 digits)
Fri Oct 04 03:56:21 2024  searching for 15-digit factors
Fri Oct 04 03:56:21 2024  commencing number field sieve (111-digit input)
Fri Oct 04 03:56:21 2024  R0: -4944321593000090379323
Fri Oct 04 03:56:21 2024  R1: 6863238039709
Fri Oct 04 03:56:21 2024  A0: -20251098952282436097039984
Fri Oct 04 03:56:21 2024  A1: 3794759792134960302204
Fri Oct 04 03:56:21 2024  A2: 9708663430620668
Fri Oct 04 03:56:21 2024  A3: -4408376825311
Fri Oct 04 03:56:21 2024  A4: 286500536
Fri Oct 04 03:56:21 2024  A5: 252
Fri Oct 04 03:56:21 2024  skew 37180.03, size 1.467e-010, alpha -5.637, combined = 9.754e-010 rroots = 3
Fri Oct 04 03:56:21 2024  
Fri Oct 04 03:56:21 2024  commencing square root phase
Fri Oct 04 03:56:21 2024  reading relations for dependency 1
Fri Oct 04 03:56:21 2024  read 191664 cycles
Fri Oct 04 03:56:21 2024  cycles contain 738800 unique relations
Fri Oct 04 03:56:25 2024  read 738800 relations
Fri Oct 04 03:56:26 2024  multiplying 738800 relations
Fri Oct 04 03:56:51 2024  multiply complete, coefficients have about 29.31 million bits
Fri Oct 04 03:56:51 2024  initial square root is modulo 260858749
Fri Oct 04 03:57:26 2024  GCD is 1, no factor found
Fri Oct 04 03:57:26 2024  reading relations for dependency 2
Fri Oct 04 03:57:26 2024  read 191867 cycles
Fri Oct 04 03:57:26 2024  cycles contain 739376 unique relations
Fri Oct 04 03:57:30 2024  read 739376 relations
Fri Oct 04 03:57:32 2024  multiplying 739376 relations
Fri Oct 04 03:57:57 2024  multiply complete, coefficients have about 29.33 million bits
Fri Oct 04 03:57:58 2024  initial square root is modulo 265093921
Fri Oct 04 03:58:30 2024  GCD is 1, no factor found
Fri Oct 04 03:58:30 2024  reading relations for dependency 3
Fri Oct 04 03:58:30 2024  read 191298 cycles
Fri Oct 04 03:58:30 2024  cycles contain 736910 unique relations
Fri Oct 04 03:58:33 2024  read 736910 relations
Fri Oct 04 03:58:35 2024  multiplying 736910 relations
Fri Oct 04 03:59:00 2024  multiply complete, coefficients have about 29.23 million bits
Fri Oct 04 03:59:01 2024  initial square root is modulo 248050787
Fri Oct 04 03:59:30 2024  GCD is N, no factor found
Fri Oct 04 03:59:30 2024  reading relations for dependency 4
Fri Oct 04 03:59:30 2024  read 191599 cycles
Fri Oct 04 03:59:30 2024  cycles contain 739468 unique relations
Fri Oct 04 03:59:35 2024  read 739468 relations
Fri Oct 04 03:59:36 2024  multiplying 739468 relations
Fri Oct 04 03:59:59 2024  multiply complete, coefficients have about 29.33 million bits
Fri Oct 04 03:59:59 2024  initial square root is modulo 265519691
Fri Oct 04 04:00:30 2024  GCD is N, no factor found
Fri Oct 04 04:00:30 2024  reading relations for dependency 5
Fri Oct 04 04:00:30 2024  read 191279 cycles
Fri Oct 04 04:00:31 2024  cycles contain 738014 unique relations
Fri Oct 04 04:00:35 2024  read 738014 relations
Fri Oct 04 04:00:36 2024  multiplying 738014 relations
Fri Oct 04 04:01:00 2024  multiply complete, coefficients have about 29.27 million bits
Fri Oct 04 04:01:00 2024  initial square root is modulo 255247693
Fri Oct 04 04:01:36 2024  GCD is N, no factor found
Fri Oct 04 04:01:36 2024  reading relations for dependency 6
Fri Oct 04 04:01:36 2024  read 191478 cycles
Fri Oct 04 04:01:36 2024  cycles contain 739192 unique relations
Fri Oct 04 04:01:40 2024  read 739192 relations
Fri Oct 04 04:01:41 2024  multiplying 739192 relations
Fri Oct 04 04:02:06 2024  multiply complete, coefficients have about 29.32 million bits
Fri Oct 04 04:02:06 2024  initial square root is modulo 263141023
Fri Oct 04 04:02:38 2024  sqrtTime: 377
Fri Oct 04 04:02:38 2024  p46 factor: 5737204033739959179788102088063946701216177407
Fri Oct 04 04:02:38 2024  p66 factor: 129992598404214889434259549173267432182862995644023419780759490601
Fri Oct 04 04:02:38 2024  elapsed time 00:06:17

GMP-ECM 7.0.5

197016870695341756195532049372000166275112663251768463573582488516083606989880364252491604332644070381585982170359160771673650131695471657744888910633724580456558771411277<171>

211545430501695678409368502379021830856269<42>
931321798008596238293479089051399945269633729166956084294860528969348487797271622301281952716736679695248564105188196729797797633<129>

Number: 23336_220
N = 197016870695341756195532049372000166275112663251768463573582488516083606989880364252491604332644070381585982170359160771673650131695471657744888910633724580456558771411277 (171 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=211545430501695678409368502379021830856269 (pp42)
r2=931321798008596238293479089051399945269633729166956084294860528969348487797271622301281952716736679695248564105188196729797797633 (pp129)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 37.33 hours.
Factorization parameters were as follows:
n: 197016870695341756195532049372000166275112663251768463573582488516083606989880364252491604332644070381585982170359160771673650131695471657744888910633724580456558771411277
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7
c0: 8
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: 30598628
Relations: 6652934 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.68 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 5896921 x 5897146
Matrix solve time: 19.12 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 37.33 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

806558787885751713025166467292846118583902918946437187408499511126802228863546982826174389173918647809647259784141771505229379476530947075058925008243918365568800744529591581408441<180>

34578684743749741159777848818280558996764357<44>
23325317138661295747290373257170705928996115777174337025451469366451136665929849498510047683623686687841106727453279116916586688724397413<137>

Number: 23336_221
N = 806558787885751713025166467292846118583902918946437187408499511126802228863546982826174389173918647809647259784141771505229379476530947075058925008243918365568800744529591581408441 (180 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=34578684743749741159777848818280558996764357 (pp44)
r2=23325317138661295747290373257170705928996115777174337025451469366451136665929849498510047683623686687841106727453279116916586688724397413 (pp137)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 54.90 hours.
Factorization parameters were as follows:
n: 806558787885751713025166467292846118583902918946437187408499511126802228863546982826174389173918647809647259784141771505229379476530947075058925008243918365568800744529591581408441
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 35
c0: 4
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: 30532349
Relations: 7038860 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 18.10 hours.
Total relation processing time: 0.42 hours.
Pruned matrix : 6191176 x 6191401
Matrix solve time: 35.89 hours.
time per square root: 0.49 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: 54.90 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

1211570926047413796624762789990020394131083970906955825307091344015290329710265482606016229207175540579061946956815610549982998544439459233940734685809265753817898840529393077598819290208580865927602863167796605405348223<220>

602254980304541415526339879672896392182936843068871126382003106947406965371371069597962106804930644316468129010587986699456869251476212993152188801085848522203936613867832907625098683780344187000515530263140687451690546937<222>

1082789730841503374328354709153614578217795702838840400519092490032236978824064781316055894664450908674104981143704231671278155681030541378960476612812154989245914528877899428154361698293043<190>

162868660075520687099924130953672303446640306026059144903538210910014198240268334578464239744702468415002573446449701116505287258583884926482677677053217873<156>

33250213927472186469220163888205277541142337621682909795330883406413660587381110813008812905442575825815333492387383204219831218671608651374963655671289609444000710192551261143480219085528197<191>

7004733303289074252216164520203153773977645025558183289618229954642113861721498540833916014029932385664015217198505406895891748809425078462913705035908990514580236511586749563410393606007575940572917748727859581629659847<220>

2041154779153394775414004864691518078052924421935104264668916045806455823930782281379368030103615722086844040302010161335233772901167805832492832905663164195211<160>

1359539529077467550132219867101014533496483513149<49>
1501357434261911992636838736505096479416294180470212744823747653832239328227167844233640289117662489894680257639<112>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3934037180
Step 1 took 26203ms
Step 2 took 11859ms
********** Factor found in step 2: 1359539529077467550132219867101014533496483513149
Found prime factor of 49 digits: 1359539529077467550132219867101014533496483513149
Prime cofactor 1501357434261911992636838736505096479416294180470212744823747653832239328227167844233640289117662489894680257639 has 112 digits
 

GMP-ECM

982957639745957040023133576269867572715880805838573468716400807574118511692241354823152934136316247680693801363462465014332310055904895292672544823794379608008007604323693049168926587809027669811908891466006881<210>

874763065992522232828137963896263559035251853<45>

1123684432916329472222056198629503987095926715962542072087599870584634690615858248081265014269510499948621335069276566257876501217890243023054923309169720783573341477<166>

vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
WorkUnit(uid=1476,
         n='982957639745957040023133576269867572715880805838573468716400807574118511692241354823152934136316247680693801363462465014332310055904895292672544823794379608008007604323693049168926587809027669811908891466006881',
         params=(),
         B1='10000000000',      
         B2='8e15',     
         resume_line='METHOD=P-1; B1=10000000000; '
                     'N=982957639745957040023133576269867572715880805838573468716400807574118511692241354823152934136316247680693801363462465014332310055904895292672544823794379608008007604323693049168926587809027669811908891466006881; '
                     'X=0x2c0ec41bfc1952663662f39802152eaab62a123caf5a0bac76a331ef52a00fa5524cde1f79b5327d8affeedd9f63da4c53dc472a0429e15ee5e2664c8f807375a9ee9b50758dd27c4256833512f95a26e4ef06cab0faf43; '
                     'CHECKSUM=1438529321; PROGRAM=GMP-ECM 7.0.6-dev; X0=0x3; '
                     'WHO=five@five; TIME=Wed Nov 22 12:58:40 2023;\n')
------------------------------------ result ------------------------------------
EcmOutput(factors=(874763065992522232828137963896263559035251853,),
          exit_status=6,
          resume_line='',
          using='Using B1=10000000000-10000000000, B2=8344913552924776, '
                'polynomial x^1',
          version='GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, '
                  '--enable-asm-redc, --enable-assert] [ECM]',
          output='OMMITTED<1529>',
          timings=(('0',), ('240083',)),
          runtime=0)
------------------------------------ output ------------------------------------
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 Wed Nov 22 12:58:40 2023
Input number is 982957639745957040023133576269867572715880805838573468716400807574118511692241354823152934136316247680693801363462465014332310055904895292672544823794379608008007604323693049168926587809027669811908891466006881 (210 digits)
Using mpz_mod 
Using lmax = 33554432 with NTT which takes about 9984MB of memory
Using B1=10000000000-10000000000, B2=8344913552924776, polynomial x^1
P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 16
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.81    0.55    0.3     0.14    0.055   0.019   0.0063  0.0018  0.0005  0.00013
Step 1 took 0ms
Computing F from factored S_1 took 93288ms
Computing h took 11004ms
Computing DCT-I of h took 28011ms
Multi-point evaluation 1 of 5:
Computing g_i took 36647ms
Computing g*h took 56471ms
Computing gcd of coefficients and N took 13230ms
Step 2 took 240083ms 
********** Factor found in step 2: 874763065992522232828137963896263559035251853
Found prime factor of 45 digits: 874763065992522232828137963896263559035251853
Composite cofactor 1123684432916329472222056198629503987095926715962542072087599870584634690615858248081265014269510499948621335069276566257876501217890243023054923309169720783573341477 has 166 digits
Peak memory usage: 10778MB
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

gmp-ecm + ecm-db

1080 TI for stage 1

1123684432916329472222056198629503987095926715962542072087599870584634690615858248081265014269510499948621335069276566257876501217890243023054923309169720783573341477<166>

755214560619289095371338033753419870809<39>

1487900911225663688087429608964395149264624876947752790256899314671964461964895339003137570434976225046988269763678384625985453<127>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:18091160101738182477
Step 1 took 20828ms
Step 2 took 8172ms
********** Factor found in step 1: 755214560619289095371338033753419870809
Found prime factor of 39 digits: 755214560619289095371338033753419870809
Composite cofactor 1487900911225663688087429608964395149264624876947752790256899314671964461964895339003137570434976225046988269763678384625985453 has 127 digits

GMP-ECM 7.0.5

1487900911225663688087429608964395149264624876947752790256899314671964461964895339003137570434976225046988269763678384625985453<127>

8828897701440926600169348058954337474321194749049125100456421<61>
168526237537312245626479318083575257674971668020684182899198372393<66>

CADO:

STA:Wed Jun 19 12:17:39 AM AEST 2024 (1487900911225663688087429608964395149264624876947752790256899314671964461964895339003137570434976225046988269763678384625985453 - C127) 

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 1487900911225663688087429608964395149264624876947752790256899314671964461964895339003137570434976225046988269763678384625985453 2>&1 | tee -a log-40

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead.
  loc = locale.getdefaultlocale()[1]
Debug:root: Looking for parameter file for c127 in directory /home/bob/Downloads/Math/cado-nfs/parameters/factor
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.e16jct2p
Info:Database: Opened connection to database /tmp/cado.e16jct2p/c125.db
Info:root: Set tasks.threads=18 based on --server-threads 18
Info:root: tasks.threads = 18 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9
Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 1487900911225663688087429608964395149264624876947752790256899314671964461964895339003137570434976225046988269763678384625985453
Debug:root: Root parameter dictionary:
N = 1487900911225663688087429608964395149264624876947752790256899314671964461964895339003137570434976225046988269763678384625985453
name = c125
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 1487900911225663688087429608964395149264624876947752790256899314671964461964895339003137570434976225046988269763678384625985453
skew: 162824.699
c0: 397637387641288349596486843650
c1: 5468594657496867005360805
c2: -116862018179890276420
c3: -276391587656672
c4: 1617634688
c5: 4320
Y0: -3143239357712855621946631
Y1: 1104679299066876067
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=1.342e+13) = 2.813e-06
# f(x) = 4320*x^5+1617634688*x^4-276391587656672*x^3-116862018179890276420*x^2+5468594657496867005360805*x+397637387641288349596486843650
# g(x) = 1104679299066876067*x-3143239357712855621946631
===
Debug:Command: Process with PID 115531 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 168526237537312245626479318083575257674971668020684182899198372393 8828897701440926600169348058954337474321194749049125100456421
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 847.45/104.259
Info:HTTP server: Got notification to stop serving Workunits
Info:Square Root: Total cpu/real time for sqrt: 847.45/104.259
Info:Filtering - Merging: Total cpu/real time for merge: 55.58/10.425
Info:Filtering - Merging: Total cpu/real time for replay: 15.39/13.3263
Info:Generate Free Relations: Total cpu/real time for freerel: 213.05/25.503
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 575.7
Info:Polynomial Selection (root optimized): Rootsieve time: 575.32
Info:Generate Factor Base: Total cpu/real time for makefb: 1.6/0.299216
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 120.56/119.51
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 118.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 335.59/394.438
Info:Linear Algebra: Total cpu/real time for bwc: 7638/1143.37
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4470.19, WCT time 647.84, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (33000 iterations)
Info:Linear Algebra: Lingen CPU time 38.83, WCT time 39.23
Info:Linear Algebra: Mksol: CPU time 2427.01,  WCT time 358.37, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (18000 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 39657.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 27584/36.770/46.456/58.170/2.346
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 22731/35.960/40.859/54.880/1.802
Info:Polynomial Selection (size optimized): Total time: 2257.72
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 572.89/679.946
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 442.20000000000005s
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30884202
Info:Lattice Sieving: Average J: 3959.17 for 163010 special-q, max bucket fill -bkmult 1.0,1s:1.259880
Info:Lattice Sieving: Total time: 78150.2s
Info:Quadratic Characters: Total cpu/real time for characters: 27.97/7.15332
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 84977.1/10733.6 [02:58:54]
Info:root: Cleaning up computation data in /tmp/cado.e16jct2p
168526237537312245626479318083575257674971668020684182899198372393 8828897701440926600169348058954337474321194749049125100456421

END:Wed Jun 19 03:16:34 AM AEST 2024 (1487900911225663688087429608964395149264624876947752790256899314671964461964895339003137570434976225046988269763678384625985453 - C127)

40809607730137243243172580926359938046362382348377171900263467426408987426082659471740791849037913665521673524569856383620934123592682709389611139605094234098657227832440222315384606457831081573252988841225956106412407159<221>

325184549648899688167003862161120552040581056902441438551230161784856530663543469615639605490089041554900102126597469905054914348139816473404234426900286352000461151759311878137819746404888508634311610291879458983030285109119<225>

485199359773798695807407972944139570389901<42>

670208117752879225733454043970416658766431123375581756167388273214265697940880399535368021638197695452770808126910351135238815355948443562329321749982063090394852305460427049837801019<183>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1560061684
Step 1 took 9610ms
Step 2 took 4406ms
********** Factor found in step 2: 485199359773798695807407972944139570389901
Found prime factor of 42 digits: 485199359773798695807407972944139570389901
Composite cofactor 670208117752879225733454043970416658766431123375581756167388273214265697940880399535368021638197695452770808126910351135238815355948443562329321749982063090394852305460427049837801019 has 183 digits
 

GMP-ECM

15026301698307176757193944344733814886846726388377351487486414137338605948113524087939087669111034230947008141380941750653301431431432056571895837393334942472431369604548904042226243502346568868376829811629115232273944704447<224>

45077968229652100859221865719744669<35>

333340261072879006011224519476956105982626089630478785731940380067645969299104072374676734525468087842784153588173280683637828697164792829593089466563434316451050310385771960069821120938763<189>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1126444520
Step 1 took 7328ms
Step 2 took 3531ms
********** Factor found in step 2: 45077968229652100859221865719744669
Found prime factor of 35 digits: 45077968229652100859221865719744669
Composite cofactor 333340261072879006011224519476956105982626089630478785731940380067645969299104072374676734525468087842784153588173280683637828697164792829593089466563434316451050310385771960069821120938763 has 189 digits

GMP-ECM

310552619561300580037422193416774812498663975805521799884953437279201657370201026344419311751451317925109166225520832373731996847131094123956761098982724141961385674639449096889063004618867<189>

127365356622998544395924308588064046579330422125181950509461426491994177583697234352256186317321688500727802037845705967976710334788937409024745269286754002911208151382823871906841339155749636098981077147016011644832605531295487627365356623<240>

3560750046671970358133886345852971513803<40>

35769249442835693229572366667493239404978542385027340574476479834463382083538999920814083646422263314092491704629882536366621185482125270395379447911926021915910682968113162349726114374689120019356941<200>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3776280238
Step 1 took 11593ms
Step 2 took 4829ms
********** Factor found in step 2: 3560750046671970358133886345852971513803
Found prime factor of 40 digits: 3560750046671970358133886345852971513803
Composite cofactor 35769249442835693229572366667493239404978542385027340574476479834463382083538999920814083646422263314092491704629882536366621185482125270395379447911926021915910682968113162349726114374689120019356941 has 200 digits

GMP-ECM

15010434545015125229570521671466699409018867597388932054514436959372448323684455106690777934167221501058823066358347934341960632984766292121844547022316885614510085577155465272600294273836017214472317913129841314002193563<221>

416078959399952492686915627767959469601514034626342093274116874671185921287864980092483618231934076159102308624252128048882493486814560454220416363837125231945911128481206445393<177>

21265610935824918079647486689880241589190644562278790573318642193813716975881494102566213795261230219486067039418509751515897992226008624603174981037023340417365242897291841046651004303607233597739076020136577606091208633532398432769387<236>

8508293239485498925582670045306201269<37>

2499397979977340440812349397596402582463888657981216674139046395474253313747325491101446636952205230320258464879796981891977595635331438817383752418051364197602506889736822449292770040305954244625823<199>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4202269024
Step 1 took 11547ms
********** Factor found in step 1: 8508293239485498925582670045306201269
Found prime factor of 37 digits: 8508293239485498925582670045306201269
Composite cofactor 2499397979977340440812349397596402582463888657981216674139046395474253313747325491101446636952205230320258464879796981891977595635331438817383752418051364197602506889736822449292770040305954244625823 has 199 digits
 

GMP-ECM

5514386723758268882386576629173314049736524873067988705338961363206872312905257082813550851007090998759567527638565876827937403722376682144923490911602759850016501760748009130330721609689415731025573376840281955909692674260891<226>

4593343358733907369899512848924337866061432392521110750583417920875252094576725455797087328507486309120674545044762824527038001085278766510460782417235265221681257135929539029<175>

701753217430498609151426855136476240222213952872988729152016671679822385587923741236009623718559364662995625101599983544968529327431769245888913216379752793<156>

635697474609712176616724961557705110679404733<45>
1103910657913721455379655745264261673093279151316495352617733118252323477181909142373211802092122823341700399821<112>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3379054464
Step 1 took 26250ms
Step 2 took 11922ms
********** Factor found in step 2: 635697474609712176616724961557705110679404733
Found prime factor of 45 digits: 635697474609712176616724961557705110679404733
Prime cofactor 1103910657913721455379655745264261673093279151316495352617733118252323477181909142373211802092122823341700399821 has 112 digits
 

GMP-ECM

2916666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<250>

583586743357507269862794096953880238586432854290939291816554321782247273439828650225260394155061726141502842126937182650456272707813143345136007900531441727969044426003671084311355521980690397841925205990040091224383<216>

2581120943952802359882005899705014749262536873156342182890855457227138643067846607669616519174041297935103244837758112094395280235988200589970501474926253687315634218289085545722713864306784660766961651917404129793510324483775811209439528023598820059<250>

3359729653957558166297521399979929211027582354762982390876274029188261262821271206020786346602684343379791543120480062032907295792299623589108579159922325191833275106503154020264523<181>

787961607294185357325992953779973085267<39>

4263824052918867103780630001696961824342633161351039410936546899528611437363929925357112462638173535117465035621589857623568275335883688003369<142>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:7521762818501778896
Step 1 took 20797ms
********** Factor found in step 2: 787961607294185357325992953779973085267
Found prime factor of 39 digits: 787961607294185357325992953779973085267
Composite cofactor 4263824052918867103780630001696961824342633161351039410936546899528611437363929925357112462638173535117465035621589857623568275335883688003369 has 142 digits

GMP-ECM 7.0.5

4263824052918867103780630001696961824342633161351039410936546899528611437363929925357112462638173535117465035621589857623568275335883688003369<142>

1333874534437857896373361962713088681806800463<46>
3196570549055270776735772434755111184508428075110182643346566826266150550372414564681066926003463<97>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:495716893
Step 1 took 5594ms
Step 2 took 2813ms
********** Factor found in step 2: 1333874534437857896373361962713088681806800463
Found prime factor of 46 digits: 1333874534437857896373361962713088681806800463
Prime cofactor 3196570549055270776735772434755111184508428075110182643346566826266150550372414564681066926003463 has 97 digits

GMP-ECM

76717409072448649179545219790779994208602219125086845948854602275116662185493185954239377667342796705272959662180440463282113080774674853613733614469565584859032398748887510823972385410539<188>

294986425547277326097770186743003560020533<42>

260070980995541398573447292968933511647798601524422488863348682197795396237558403951216458675688860482969879320624740503363357069387817404780641183<147>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:12878752738764174089
Step 1 took 14938ms
Step 2 took 5234ms
********** Factor found in step 2: 294986425547277326097770186743003560020533
Found prime factor of 42 digits: 294986425547277326097770186743003560020533
Composite cofactor 260070980995541398573447292968933511647798601524422488863348682197795396237558403951216458675688860482969879320624740503363357069387817404780641183 has 147 digits

GMP-ECM 7.0.5

260070980995541398573447292968933511647798601524422488863348682197795396237558403951216458675688860482969879320624740503363357069387817404780641183<147>

10189493552928024432673674732918669591463759838562930758629098028819<68>
25523445266895343118006926591464025183038043430059029143858098092580444170831557<80>

FACTORS
10189493552928024432673674732918669591463759838562930758629098028819
25523445266895343118006926591464025183038043430059029143858098092580444170831557
POLYNOMIAL
n: 260070980995541398573447292968933511647798601524422488863348682197795396237558403951216458675688860482969879320624740503363357069387817404780641183
skew: 767839.672
c0: 15712408022884828510369832161872048
c1: -156101962647541764614461798662
c2: -663309991706390080129997
c3: 488411708419854589
c4: 330862136082
c5: 138600
Y0: -19155325416131091031864158839
Y1: 3085231210856181531521
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=3.087e+14) = 6.901e-07
# f(x) = 138600*x^5+330862136082*x^4+488411708419854589*x^3-663309991706390080129997*x^2-156101962647541764614461798662*x+15712408022884828510369832161872048
# g(x) = 3085231210856181531521*x-19155325416131091031864158839

cado-nfs

4x Xeon E7-8890v4, 1024GB DDR4, Ubuntu Server 24.04

10116256073841532949065760357573258723495364429275251312780269323630265303329562494446521987485726052565096248919226656891983438895677249317583771186080213595400476842366049086673134000042105454610607431968699331983487<218>

7277240321653328801698424712832457054828033293638551720183699797237291069963859921322037067773274692063177751223547085186640921828365294357141147053359879447983992207433027253392951700356298085269030378855028815844809703475999981821981629899263<244>

528700448283727789911862091100499<33>

13764392190846012345178856638298009772863530616523718538081383469113872843835116898625941969732391408160163939834266096117320518575721099770975780514822896846951449570146123456685154150528945623114152540070419237<212>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 7277240321653328801698424712832457054828033293638551720183699797237291069963859921322037067773274692063177751223547085186640921828365294357141147053359879447983992207433027253392951700356298085269030378855028815844809703475999981821981629899263 (244 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2659231495
Step 1 took 14404ms
Step 2 took 4883ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4134369322
Step 1 took 11746ms
Step 2 took 4881ms
Run 3 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:202233773
Step 1 took 11834ms
** Factor found in step 1: 528700448283727789911862091100499
Found prime factor of 33 digits: 528700448283727789911862091100499
Composite cofactor 13764392190846012345178856638298009772863530616523718538081383469113872843835116898625941969732391408160163939834266096117320518575721099770975780514822896846951449570146123456685154150528945623114152540070419237 has 212 digits

2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 24.04

21367308819694478240367856901246967437019822696825113153112841600686364389120058968031734702913441055680913736824838897794157901249676876508341460545913089938251522590224934088844579389778851851595756988362530574400503664826117998448922923563<242>

68458243902682549011908935504967173617918377785626689464389500613257670870812890974734917150667045337398878758488297022697973176119538806492715195740274604706696387669917306341941663959988775331354418061<203>

288714077024107853142885678571342210326247121848478887882882653239175906437270982239119309072954399345472608221679416192316819909802663246437991917401162920400926235856698271091154577582258801<192>

233024936146034955321422860585642345727555222526401247164755341958770306350764173343022101119654700707379383070182788301093036600470467987797408950030147047180330776627329575663067457751554898840224184306689819290360166393001875395418566062674951039128669<255>

585074316751985600124350964550303595876554130441359065824220560761294136207240035374200719673878423069733458437090800421558548434124247128833497033308992606521931601805507457270368269<183>

2453838728507664251580967738458100119802712923845405284402780771918159376288665968326264141247056878926820273132430412732739988700039993074033131965942438824109811931833630117023749692986604243369826343327517927209404675324170556799<232>

8935447578357114209474880298810743033835258113560638887905044146788679848443832454206215653713083223014315083122128211058858549740492917598317448607980661887204336664131519845460660631884308360952674187735994249903209<217>