286325345634916143716947523380361635396105187616672893211008538389946271836026079246912283320931<96>

403722104333318970571146770232898796943127039<45>
709213943357735206398913520221399321458762218211229<51>

286325345634916143716947523380361635396105187616672893211008538389946271836026079246912283320931=403722104333318970571146770232898796943127039*709213943357735206398913520221399321458762218211229

cado polynomial
n: 286325345634916143716947523380361635396105187616672893211008538389946271836026079246912283320931
skew: 175173.619
c0: 1072562739395818142998551
c1: 155374059179391050999
c2: 24470914915511
c3: -3590957701
c4: 8160
Y0: -84106907267372523452060
Y1: 58623744996673243
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=4.194e+11) = 8.771e-06
# f(x) = 8160*x^4-3590957701*x^3+24470914915511*x^2+155374059179391050999*x+1072562739395818142998551
# g(x) = 58623744996673243*x-84106907267372523452060

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

cado log (extracts)
Info:Square Root: Factors: 403722104333318970571146770232898796943127039 709213943357735206398913520221399321458762218211229
Info:Square Root: Total cpu/real time for sqrt: 29.99/11.5542
Info:Filtering - Singleton removal: Total cpu/real time for purge: 25.34/31.8718
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2668340
Info:Lattice Sieving: Average J: 1022.69 for 46708 special-q, max bucket fill -bkmult 1.0,1s:1.360080
Info:Lattice Sieving: Total time: 2563.56s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.59/0.298729
Info:Linear Algebra: Total cpu/real time for bwc: 3018.79/1073.56
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 127.95, WCT time 66.2, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4480 iterations)
Info:Linear Algebra: Lingen CPU time 2807.54, WCT time 964.57
Info:Linear Algebra: Mksol: CPU time 73.22,  WCT time 37.23, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2304 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 10.36/13.8235
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 13.1s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 52.56
Info:Polynomial Selection (root optimized): Rootsieve time: 52.16
Info:Filtering - Merging: Merged matrix has 142329 rows and total weight 20789953 (146.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 23.29/8.94685
Info:Filtering - Merging: Total cpu/real time for replay: 4.62/3.7763
Info:Generate Free Relations: Total cpu/real time for freerel: 23.99/9.20866
Info:Quadratic Characters: Total cpu/real time for characters: 5.25/2.64357
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 7181.67
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 7354/29.960/36.901/44.790/1.408
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 4847/29.930/34.871/38.740/1.174
Info:Polynomial Selection (size optimized): Total time: 125.11
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 34.87/49.4095
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 31.9s
Info:Square Root: Total cpu/real time for sqrt: 29.99/11.5542
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 6653.84/2537.24
Info:root: Cleaning up computation data in /tmp/cado.668bg6ol
403722104333318970571146770232898796943127039 709213943357735206398913520221399321458762218211229

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)

1074431467092813176475187638800202297625544885342128785757159832587569631703526750986218680153196348587988015591<112>

372290112887518116637609635030634659055651843<45>
2886005912860319653314862663173015469991854995776400156702015061837<67>

1074431467092813176475187638800202297625544885342128785757159832587569631703526750986218680153196348587988015591=372290112887518116637609635030634659055651843*2886005912860319653314862663173015469991854995776400156702015061837

cado polynomial
n: 1074431467092813176475187638800202297625544885342128785757159832587569631703526750986218680153196348587988015591
skew: 0.84
type: snfs
c0: 5
c5: 12
Y0: 5000000000000000000000000000
Y1: -1
# f(x) = 12*x^5+5
# g(x) = -x+5000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1480000
tasks.lim1 = 1480000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 372290112887518116637609635030634659055651843 2886005912860319653314862663173015469991854995776400156702015061837
Info:Square Root: Total cpu/real time for sqrt: 18.63/14.9742
Info:Filtering - Singleton removal: Total cpu/real time for purge: 48.59/54.7879
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6069995
Info:Lattice Sieving: Average J: 1892.08 for 50359 special-q, max bucket fill -bkmult 1.0,1s:1.204320
Info:Lattice Sieving: Total time: 10670.1s
Info:Linear Algebra: Total cpu/real time for bwc: 354.01/317.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 139.47, WCT time 121.94, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (3968 iterations)
Info:Linear Algebra: Lingen CPU time 132.42, WCT time 114.12
Info:Linear Algebra: Mksol: CPU time 74.11,  WCT time 77.52, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (1984 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.98/27.9871
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 27.9s
Info:Generate Free Relations: Total cpu/real time for freerel: 30.16/21.1829
Info:Filtering - Merging: Merged matrix has 126056 rows and total weight 21513320 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 26.4/10.2971
Info:Filtering - Merging: Total cpu/real time for replay: 4.2/3.87053
Info:Generate Factor Base: Total cpu/real time for makefb: 0.65/0.834658
Info:Quadratic Characters: Total cpu/real time for characters: 4.12/3.34131
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 47.5/58.4245
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 47.7s
Info:Square Root: Total cpu/real time for sqrt: 18.63/14.9742
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 10399.7/6015.2
Info:root: Cleaning up computation data in /tmp/cado.unnon9t2
372290112887518116637609635030634659055651843 2886005912860319653314862663173015469991854995776400156702015061837

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)

1734364005424003911765534316584459747475259398437502606701002576964869367110368349966250802598281486609<103>

66176481802702939983290375811570187793146754653<47>
26208162751758205749390949674016745878907972892356330053<56>

1734364005424003911765534316584459747475259398437502606701002576964869367110368349966250802598281486609=66176481802702939983290375811570187793146754653*26208162751758205749390949674016745878907972892356330053

cado polynomial
n: 1734364005424003911765534316584459747475259398437502606701002576964869367110368349966250802598281486609
skew: 0.60
type: snfs
c0: 2
c4: 15
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 15*x^4+2
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1580000
tasks.lim1 = 1580000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 66176481802702939983290375811570187793146754653 26208162751758205749390949674016745878907972892356330053
Info:Square Root: Total cpu/real time for sqrt: 40.51/33.1524
Info:Filtering - Singleton removal: Total cpu/real time for purge: 44.43/63.1209
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6102047
Info:Lattice Sieving: Average J: 1892.48 for 106305 special-q, max bucket fill -bkmult 1.0,1s:1.346950
Info:Lattice Sieving: Total time: 19086.9s
Info:Linear Algebra: Total cpu/real time for bwc: 542.02/551.17
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 221.65, WCT time 236.66, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5248 iterations)
Info:Linear Algebra: Lingen CPU time 185.84, WCT time 169.47
Info:Linear Algebra: Mksol: CPU time 120.23,  WCT time 130.95, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2688 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.49/26.4774
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.85/39.6265
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.4s
Info:Filtering - Merging: Merged matrix has 166479 rows and total weight 28390264 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 38.41/32.2103
Info:Filtering - Merging: Total cpu/real time for replay: 5.43/6.37374
Info:Generate Factor Base: Total cpu/real time for makefb: 0.78/1.04164
Info:Quadratic Characters: Total cpu/real time for characters: 5.27/4.67519
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.28/73.9165
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 67.9s
Info:Square Root: Total cpu/real time for sqrt: 40.51/33.1524
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 17664.7/10613.7
Info:root: Cleaning up computation data in /tmp/cado.cw4pf5sq
66176481802702939983290375811570187793146754653 26208162751758205749390949674016745878907972892356330053

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)

750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<147>

3613705299119663978491855118534225853091781365319633604583244628631<67>
207543210616180507116857405613734377514718027833920737715626659993846180979711271<81>

Number: n
N=750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001  ( 147 digits)
SNFS difficulty: 146 digits.
Divisors found:

Mon Jun 13 04:32:06 2022  p67 factor: 3613705299119663978491855118534225853091781365319633604583244628631
Mon Jun 13 04:32:06 2022  p81 factor: 207543210616180507116857405613734377514718027833920737715626659993846180979711271
Mon Jun 13 04:32:06 2022  elapsed time 00:03:19 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 3x10^147+4 = 30(146)4
#
n: 750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
m: 100000000000000000000000000000
deg: 5
c5: 75
c0: 1
skew: 0.42
# Murphy_E = 2.344e-09
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6580000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 805579 hash collisions in 7882725 relations (7593589 unique)
Msieve: matrix is 284859 x 285084 (95.3 MB)

Sieving start time : 2022/06/13 04:14:34
Sieving end time  : 2022/06/13 04:28:34

Total sieving time: 0hrs 14min 0secs.

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

Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

10912380657223850806173096655363847904747010785054742052866153163696635264194258241604199938032945182163038319857635349199<122>

2352865115795956391748895209273450167699<40>
4637911703464682182358497067424882021175235602723704587916498264137342669242268501<82>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 10912380657223850806173096655363847904747010785054742052866153163696635264194258241604199938032945182163038319857635349199 (122 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2619457944
Step 1 took 2030ms
Step 2 took 1297ms
********** Factor found in step 2: 2352865115795956391748895209273450167699
Found prime factor of 40 digits: 2352865115795956391748895209273450167699
Prime cofactor 4637911703464682182358497067424882021175235602723704587916498264137342669242268501 has 82 digits

GMP-ECM 7.0.4

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)

22751527970623382666505722073098511525721840551430085728087635945218745533190981552427398827350428614669034980378355410692661770089013855567<140>

3238339949455707933643312850274440022551506481712301925355588031<64>
7025676218596939611938791781592882927285653964969603907423000647498424223857<76>

Number: n
N=22751527970623382666505722073098511525721840551430085728087635945218745533190981552427398827350428614669034980378355410692661770089013855567  ( 140 digits)
SNFS difficulty: 156 digits.
Divisors found:

Mon Jun 13 13:38:12 2022  p64 factor: 3238339949455707933643312850274440022551506481712301925355588031
Mon Jun 13 13:38:12 2022  p76 factor: 7025676218596939611938791781592882927285653964969603907423000647498424223857
Mon Jun 13 13:38:12 2022  elapsed time 00:06:13 (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 = 3x10^156+4 = 30(155)4
#
n: 22751527970623382666505722073098511525721840551430085728087635945218745533190981552427398827350428614669034980378355410692661770089013855567
m: 10000000000000000000000000000000
deg: 5
c5: 15
c0: 2
skew: 0.67
# Murphy_E = 8.994e-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 1493071 hash collisions in 15214018 relations (14714209 unique)
Msieve: matrix is 383667 x 383894 (127.7 MB)

Sieving start time : 2022/06/13 12:51:57
Sieving end time  : 2022/06/13 13:31:43

Total sieving time: 0hrs 39min 46secs.

Total relation processing time: 0hrs 2min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 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) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

44019667626332693524432306024497330988795001897966217609844802619054712928889126848685743220996633814778744794802908249<119>

1008975224825236776126488513733061883131376543<46>
43628095659095375878310357778665831765564198332743183246848871523352878343<74>

44019667626332693524432306024497330988795001897966217609844802619054712928889126848685743220996633814778744794802908249=1008975224825236776126488513733061883131376543*43628095659095375878310357778665831765564198332743183246848871523352878343

cado polynomial
n: 44019667626332693524432306024497330988795001897966217609844802619054712928889126848685743220996633814778744794802908249
skew: 0.84
type: snfs
c0: 5
c5: 12
Y0: 50000000000000000000000000000000
Y1: -1
# f(x) = 12*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: 1008975224825236776126488513733061883131376543 43628095659095375878310357778665831765564198332743183246848871523352878343
Info:Square Root: Total cpu/real time for sqrt: 92.54/28.7611
Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.04/78.1328
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11648598
Info:Lattice Sieving: Average J: 1892.91 for 214312 special-q, max bucket fill -bkmult 1.0,1s:1.252700
Info:Lattice Sieving: Total time: 26962s
Info:Linear Algebra: Total cpu/real time for bwc: 1482.04/382.05
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 909.71, WCT time 232.2, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9984 iterations)
Info:Linear Algebra: Lingen CPU time 47.48, WCT time 12.12
Info:Linear Algebra: Mksol: CPU time 496.18,  WCT time 126.57, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4992 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.87/17.5385
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.19/48.3808
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.3s
Info:Filtering - Merging: Merged matrix has 318043 rows and total weight 54250246 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 65.22/18.2431
Info:Filtering - Merging: Total cpu/real time for replay: 9.84/8.18279
Info:Generate Factor Base: Total cpu/real time for makefb: 1.4/0.766282
Info:Quadratic Characters: Total cpu/real time for characters: 9.85/3.8771
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 99.76/84.8173
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.9s
Info:Square Root: Total cpu/real time for sqrt: 92.54/28.7611
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 51229.8/14348.3
Info:root: Cleaning up computation data in /tmp/cado.nypdbyy9
1008975224825236776126488513733061883131376543 43628095659095375878310357778665831765564198332743183246848871523352878343

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)

173775220651925725288669141457189004146337435613989847760638310961737573498897611795378222787178240232106783<108>

3539842596224855665402401625542151<34>
49091228191121321968614849530526727985311943547152419408553214810803745833<74>

173775220651925725288669141457189004146337435613989847760638310961737573498897611795378222787178240232106783=3539842596224855665402401625542151*49091228191121321968614849530526727985311943547152419408553214810803745833

cado polynomial
n: 173775220651925725288669141457189004146337435613989847760638310961737573498897611795378222787178240232106783
skew: 18988.253
c0: -34454909089967347938951840
c1: 329569755634767973271
c2: 282221415169119558
c3: 4835842626661
c4: -218345730
c5: 13680
Y0: -603204590357585027238
Y1: 1876147890012889
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 2.044e-06
# f(x) = 13680*x^5-218345730*x^4+4835842626661*x^3+282221415169119558*x^2+329569755634767973271*x-34454909089967347938951840
# g(x) = 1876147890012889*x-603204590357585027238

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 49091228191121321968614849530526727985311943547152419408553214810803745833 3539842596224855665402401625542151
Info:Square Root: Total cpu/real time for sqrt: 75.74/59.4371
Info:Quadratic Characters: Total cpu/real time for characters: 10.4/8.53343
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 76.93/112.09
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 81.2s
Info:Square Root: Total cpu/real time for sqrt: 75.74/59.4371
Info:Linear Algebra: Total cpu/real time for bwc: 1084.68/990.37
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 531.28, WCT time 493.57, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (8576 iterations)
Info:Linear Algebra: Lingen CPU time 232.23, WCT time 194.52
Info:Linear Algebra: Mksol: CPU time 298.7,  WCT time 281.9, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4352 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 54.96/87.3183
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4919372
Info:Lattice Sieving: Average J: 1900.77 for 62450 special-q, max bucket fill -bkmult 1.0,1s:1.285050
Info:Lattice Sieving: Total time: 12379.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.37/1.8478
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.65/25.6896
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 24.6s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 242.75
Info:Polynomial Selection (root optimized): Rootsieve time: 241.74
Info:Generate Free Relations: Total cpu/real time for freerel: 62.71/40.7408
Info:Filtering - Merging: Merged matrix has 273684 rows and total weight 42567061 (155.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 44.78/34.645
Info:Filtering - Merging: Total cpu/real time for replay: 9.98/11.283
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11715/31.810/37.960/42.850/1.033
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8990/30.710/33.664/38.410/0.859
Info:Polynomial Selection (size optimized): Total time: 740.02
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 13899.3/8010.42
Info:root: Cleaning up computation data in /tmp/cado.jfderj4l
49091228191121321968614849530526727985311943547152419408553214810803745833 3539842596224855665402401625542151

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)

125185622680847264834383311057027490832738912309842067673275344290701330975131597228882152718583430182805847720138007641215036749973460081<138>

1384549200834847348411366473435020416455427974244237<52>
90416160440787205710606328959011140740497509326964772794977153063384745914730168305013<86>

125185622680847264834383311057027490832738912309842067673275344290701330975131597228882152718583430182805847720138007641215036749973460081=1384549200834847348411366473435020416455427974244237*90416160440787205710606328959011140740497509326964772794977153063384745914730168305013

cado polynomial
n: 125185622680847264834383311057027490832738912309842067673275344290701330975131597228882152718583430182805847720138007641215036749973460081
skew: 0.42
type: snfs
c0: 1
c5: 75
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 75*x^5+1
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3500000
tasks.lim1 = 3500000
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: 90416160440787205710606328959011140740497509326964772794977153063384745914730168305013 1384549200834847348411366473435020416455427974244237
Info:Square Root: Total cpu/real time for sqrt: 75.96/24.2628
Info:Filtering - Singleton removal: Total cpu/real time for purge: 74.75/70.8728
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11632566
Info:Lattice Sieving: Average J: 1894.4 for 214267 special-q, max bucket fill -bkmult 1.0,1s:1.231000
Info:Lattice Sieving: Total time: 27267.9s
Info:Linear Algebra: Total cpu/real time for bwc: 2279.32/592.06
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1413.14, WCT time 364.89, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Linear Algebra: Lingen CPU time 63.06, WCT time 16.08
Info:Linear Algebra: Mksol: CPU time 767.29,  WCT time 196.58, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6144 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.12/48.3677
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.2s
Info:Filtering - Merging: Merged matrix has 390703 rows and total weight 66448142 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 79.73/22.4028
Info:Filtering - Merging: Total cpu/real time for replay: 12.49/10.44
Info:Generate Free Relations: Total cpu/real time for freerel: 60.62/17.6656
Info:Generate Factor Base: Total cpu/real time for makefb: 1.53/0.979896
Info:Quadratic Characters: Total cpu/real time for characters: 12.76/4.98422
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 101.33/85.6578
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.4s
Info:Square Root: Total cpu/real time for sqrt: 75.96/24.2628
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 52683.9/14679.8
Info:root: Cleaning up computation data in /tmp/cado.w5izpnv9
90416160440787205710606328959011140740497509326964772794977153063384745914730168305013 1384549200834847348411366473435020416455427974244237

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)

8450170769886937600193568971015420727395680761988541591478593756275338828551036395752839014935910866872341813778803628408582482118909<133>

1870480778416647708041340267058451758412610607466134691<55>
4517646408021344862251389631814514055778972134168841453177138199363587335429599<79>

8450170769886937600193568971015420727395680761988541591478593756275338828551036395752839014935910866872341813778803628408582482118909=1870480778416647708041340267058451758412610607466134691*4517646408021344862251389631814514055778972134168841453177138199363587335429599

cado polynomial
n: 8450170769886937600193568971015420727395680761988541591478593756275338828551036395752839014935910866872341813778803628408582482118909
skew: 0.27
type: snfs
c0: 1
c5: 750
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 750*x^5+1
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3600000
tasks.lim1 = 3600000
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: 4517646408021344862251389631814514055778972134168841453177138199363587335429599 1870480778416647708041340267058451758412610607466134691
Info:Square Root: Total cpu/real time for sqrt: 87.33/28.2664
Info:Filtering - Singleton removal: Total cpu/real time for purge: 72.78/68.6173
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11630161
Info:Lattice Sieving: Average J: 1893.4 for 244425 special-q, max bucket fill -bkmult 1.0,1s:1.242440
Info:Lattice Sieving: Total time: 30574.1s
Info:Generate Free Relations: Total cpu/real time for freerel: 60.37/17.4142
Info:Linear Algebra: Total cpu/real time for bwc: 2508.76/646.51
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1557.83, WCT time 397.69, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13184 iterations)
Info:Linear Algebra: Lingen CPU time 64.4, WCT time 16.41
Info:Linear Algebra: Mksol: CPU time 847.83,  WCT time 216.62, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6528 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.49/48.3851
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.3s
Info:Filtering - Merging: Merged matrix has 417831 rows and total weight 71325283 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 86.15/24.1376
Info:Filtering - Merging: Total cpu/real time for replay: 13.5/11.2806
Info:Generate Factor Base: Total cpu/real time for makefb: 1.55/0.865945
Info:Quadratic Characters: Total cpu/real time for characters: 13.65/5.35583
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.63/88.8397
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 80.3s
Info:Square Root: Total cpu/real time for sqrt: 87.33/28.2664
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 59036.9/16429.7
Info:root: Cleaning up computation data in /tmp/cado.fsm22qrx
4517646408021344862251389631814514055778972134168841453177138199363587335429599 1870480778416647708041340267058451758412610607466134691

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)

174886825394975301541337246598093669711032396340151035524399917938800935076483721976895854178137411496697897606034331464908820289624434115329<141>

2746324358030533136204557283041058826599493634305389<52>
63680324169863020065712302803562541820470392044646393322550228327832501540988003642479461<89>

174886825394975301541337246598093669711032396340151035524399917938800935076483721976895854178137411496697897606034331464908820289624434115329=2746324358030533136204557283041058826599493634305389*63680324169863020065712302803562541820470392044646393322550228327832501540988003642479461

cado polynomial
n: 174886825394975301541337246598093669711032396340151035524399917938800935076483721976895854178137411496697897606034331464908820289624434115329
skew: 1.06
type: snfs
c0: 4
c5: 3
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 3*x^5+4
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4000000
tasks.lim1 = 4000000
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: 2746324358030533136204557283041058826599493634305389 63680324169863020065712302803562541820470392044646393322550228327832501540988003642479461
Info:Square Root: Total cpu/real time for sqrt: 81/26.432
Info:Filtering - Singleton removal: Total cpu/real time for purge: 71.59/69.7682
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11640530
Info:Lattice Sieving: Average J: 1893.83 for 269041 special-q, max bucket fill -bkmult 1.0,1s:1.248440
Info:Lattice Sieving: Total time: 34638.5s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.9/16.6865
Info:Linear Algebra: Total cpu/real time for bwc: 3034.27/789.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1890.8, WCT time 489.91, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14592 iterations)
Info:Linear Algebra: Lingen CPU time 74.2, WCT time 18.94
Info:Linear Algebra: Mksol: CPU time 1028.13,  WCT time 263.43, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.65/47.2943
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.2s
Info:Filtering - Merging: Merged matrix has 462510 rows and total weight 79056077 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 96.77/27.1447
Info:Filtering - Merging: Total cpu/real time for replay: 15.23/12.595
Info:Generate Factor Base: Total cpu/real time for makefb: 1.7/0.939544
Info:Quadratic Characters: Total cpu/real time for characters: 15.13/5.95394
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.35/90.4419
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 79.7s
Info:Square Root: Total cpu/real time for sqrt: 81/26.432
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 67078.5/18617.9
Info:root: Cleaning up computation data in /tmp/cado.t9kziudn
2746324358030533136204557283041058826599493634305389 63680324169863020065712302803562541820470392044646393322550228327832501540988003642479461

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)

536342980824986621670210176591606971201979500476995325271893554362815412712528932908413857849611023744397494182836965948661964981<129>

72609906707603133160969723177<29>
7386636412918363403035802591099816640496277538590090662448634427020280287535828984695199738689735853<100>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 536342980824986621670210176591606971201979500476995325271893554362815412712528932908413857849611023744397494182836965948661964981 (129 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1372913832
Step 1 took 1368ms
Step 2 took 911ms
********** Factor found in step 2: 72609906707603133160969723177
Found prime factor of 29 digits: 72609906707603133160969723177
Prime cofactor 7386636412918363403035802591099816640496277538590090662448634427020280287535828984695199738689735853 has 100 digits

GMP-ECM 7.0.4

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)

90284214707900470681706010521120487294001516774807092727907452660976754824186539225481816759157828845204704409481046333858988094521553851524599439034079281578408831<164>

1248764147901330889351495025494833038042823505364117104576748557625226913568949299<82>
72298852317014256675099076005153083675768246312775588630899278296366022148946132869<83>

Number: n
N=90284214707900470681706010521120487294001516774807092727907452660976754824186539225481816759157828845204704409481046333858988094521553851524599439034079281578408831  ( 164 digits)
SNFS difficulty: 169 digits.
Divisors found:

Tue Jun 14 11:11:02 2022  p82 factor: 1248764147901330889351495025494833038042823505364117104576748557625226913568949299
Tue Jun 14 11:11:02 2022  p83 factor: 72298852317014256675099076005153083675768246312775588630899278296366022148946132869
Tue Jun 14 11:11:02 2022  elapsed time 00:10:10 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 3x10^169+4 = 30(168)4
#
n: 90284214707900470681706010521120487294001516774807092727907452660976754824186539225481816759157828845204704409481046333858988094521553851524599439034079281578408831
m: 5000000000000000000000000000000000
deg: 5
c5: 12
c0: 5
skew: 0.84
# Murphy_E = 3.184e-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 1242616 hash collisions in 12874563 relations (12436258 unique)
Msieve: matrix is 618092 x 618320 (214.6 MB)

Sieving start time : 2022/06/14 10:34:23
Sieving end time  : 2022/06/14 11:00:33

Total sieving time: 0hrs 26min 10secs.

Total relation processing time: 0hrs 5min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 12sec.

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) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

16566732444023728567989055861041082717005254271507591911784849892072255322898478849540839414548789967264938520459403098116316288886494939601120613807739349761667<161>

17494153166971060010979600628387601593<38>
946986818161721560518055284684204444992976134185062871730442032220252557322243550525945268347173624556094062463627682049819<123>

Number: n
N=16566732444023728567989055861041082717005254271507591911784849892072255322898478849540839414548789967264938520459403098116316288886494939601120613807739349761667  ( 161 digits)
SNFS difficulty: 170 digits.
Divisors found:

Tue Jun 14 12:07:33 2022  p38 factor: 17494153166971060010979600628387601593
Tue Jun 14 12:07:33 2022  p123 factor: 946986818161721560518055284684204444992976134185062871730442032220252557322243550525945268347173624556094062463627682049819
Tue Jun 14 12:07:33 2022  elapsed time 00:10:43 (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 = 3x10^170+4 = 30(169)4
#
n: 16566732444023728567989055861041082717005254271507591911784849892072255322898478849540839414548789967264938520459403098116316288886494939601120613807739349761667
m: 10000000000000000000000000000000000
deg: 5
c5: 3
c0: 4
skew: 1.06
# Murphy_E = 3.128e-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 1113485 hash collisions in 11860527 relations (11485903 unique)
Msieve: matrix is 671874 x 672099 (232.5 MB)

Sieving start time : 2022/06/14 11:13:34
Sieving end time  : 2022/06/14 11:56:20

Total sieving time: 0hrs 42min 46secs.

Total relation processing time: 0hrs 6min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 16sec.

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) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

3817304367832488736352408277465118087225022051513857863006877531856822618302274340083657524339014353153<103>

13494773084001523591135038957306986479<38>
282872808906881338846557976258143047066863211721818757155302088207<66>

fac: factoring 3817304367832488736352408277465118087225022051513857863006877531856822618302274340083657524339014353153
fac: using pretesting plan: normal
fac: no tune info: using qs/gnfs crossover of 95 digits
div: primes less than 10000
fmt: 1000000 iterations
rho: x^2 + 3, starting 1000 iterations on C103
rho: x^2 + 2, starting 1000 iterations on C103
rho: x^2 + 1, starting 1000 iterations on C103
pm1: starting B1 = 150K, B2 = gmp-ecm default on C103
ecm: 30/30 curves on C103, B1=2K, B2=gmp-ecm default
ecm: 74/74 curves on C103, B1=11K, B2=gmp-ecm default
ecm: 214/214 curves on C103, B1=50K, B2=gmp-ecm default, ETA: 0 sec
pm1: starting B1 = 3750K, B2 = gmp-ecm default on C103
ecm: 430/430 curves on C103, B1=250K, B2=gmp-ecm default, ETA: 0 sec
pm1: starting B1 = 15M, B2 = gmp-ecm default on C103
ecm: 37/225 curves on C103, B1=1M, B2=gmp-ecm default, ETA: 5.2 min
Total factoring time = 262.8286 seconds


***factors found***

P38 = 13494773084001523591135038957306986479
P66 = 282872808906881338846557976258143047066863211721818757155302088207

Yafu 1.34

Windows 10 21H1
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

107142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143<174>

12245749050684528746025024124303777717317834091528337467<56>
8749391866467158463802469301769516193854929182092140455375580485990689885932816083438971055000759555883500124804891829<118>

Number: n
N=107142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143  ( 174 digits)
SNFS difficulty: 174 digits.
Divisors found:

Tue Jun 14 03:31:13 2022  p56 factor: 12245749050684528746025024124303777717317834091528337467
Tue Jun 14 03:31:13 2022  p118 factor: 8749391866467158463802469301769516193854929182092140455375580485990689885932816083438971055000759555883500124804891829
Tue Jun 14 03:31:13 2022  elapsed time 00:17:02 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 3x10^174+4 = 30(173)4
#
n: 107142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143
m: 50000000000000000000000000000000000
deg: 5
c5: 12
c0: 5
skew: 0.84
# Murphy_E = 2.014e-10
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1164932 hash collisions in 12241220 relations (11839682 unique)
Msieve: matrix is 828553 x 828778 (289.8 MB)

Sieving start time : 2022/06/14 01:59:42
Sieving end time  : 2022/06/14 03:13:55

Total sieving time: 1hrs 14min 13secs.

Total relation processing time: 0hrs 10min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 26sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

383971753551107061490276401799994799396348217446053667044788432949931375231360988730337834644477015994648685470780652154371754744883159532219217399514649<153>

58558688965534944731904166234561272046343<41>
6584086526080450245509880976251454822275190202248217<52>
995892364252393159718874355698287819992118653202260453482679<60>

Number: n
N=383971753551107061490276401799994799396348217446053667044788432949931375231360988730337834644477015994648685470780652154371754744883159532219217399514649  ( 153 digits)
SNFS difficulty: 175 digits.
Divisors found:

Tue Jun 14 22:23:15 2022  found factor: 6584086526080450245509880976251454822275190202248217
Tue Jun 14 22:25:45 2022  p41 factor: 58558688965534944731904166234561272046343
Tue Jun 14 22:25:45 2022  p52 factor: 6584086526080450245509880976251454822275190202248217
Tue Jun 14 22:25:45 2022  p60 factor: 995892364252393159718874355698287819992118653202260453482679
Tue Jun 14 22:25:45 2022  elapsed time 00:20:06 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 3x10^175+4 = 30(174)4
#
n: 383971753551107061490276401799994799396348217446053667044788432949931375231360988730337834644477015994648685470780652154371754744883159532219217399514649
m: 100000000000000000000000000000000000
deg: 5
c5: 3
c0: 4
skew: 1.06
# Murphy_E = 1.976e-10
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 66150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2747302 hash collisions in 28780952 relations (27847820 unique)
Msieve: matrix is 829605 x 829832 (276.6 MB)

Sieving start time : 2022/06/14 14:42:22
Sieving end time  : 2022/06/14 22:02:06

Total sieving time: 7hrs 19min 44secs.

Total relation processing time: 0hrs 9min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 8sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

709631950576922328235888872842514493144587804117428709542961446840052406804549923799504743398073336096625143325456940909322363654708819365706499597<147>

145312947353538540150764911<27>

4883473658065899525790740857238370169572039113774018993887843295422372217572089624238404428647025472416405511324300777027<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:994288435
Step 1 took 4859ms
Step 2 took 2875ms
********** Factor found in step 2: 145312947353538540150764911
Found prime factor of 27 digits: 145312947353538540150764911
Composite cofactor 4883473658065899525790740857238370169572039113774018993887843295422372217572089624238404428647025472416405511324300777027 has 121 digits
 

GMP-ECM

4883473658065899525790740857238370169572039113774018993887843295422372217572089624238404428647025472416405511324300777027<121>

4909610239580987817203049965029563338653<40>
994676444719709781701420000842972853941878943113855908541317506665833193576990559<81>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2759523619
Step 1 took 4890ms
Step 2 took 2938ms
********** Factor found in step 2: 4909610239580987817203049965029563338653
Found prime factor of 40 digits: 4909610239580987817203049965029563338653
Prime cofactor 994676444719709781701420000842972853941878943113855908541317506665833193576990559 has 81 digits

GMP-ECM

239461384297527257889374587527765547509298285552272983423844415233703136209786052427994759946347878643524692779025992415779036528716688127728063820609579285504699988410069<171>

10493054467058132436424075697382463491258651637215200581067861475407<68>
22820941704752576783378048264704889862131172897167999026241054992038691978535059498900708522111101485467<104>

Number: 30004_177
N = 239461384297527257889374587527765547509298285552272983423844415233703136209786052427994759946347878643524692779025992415779036528716688127728063820609579285504699988410069 (171 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=10493054467058132436424075697382463491258651637215200581067861475407 (pp68)
r2=22820941704752576783378048264704889862131172897167999026241054992038691978535059498900708522111101485467 (pp104)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 4.76 hours.
Factorization parameters were as follows:
n: 239461384297527257889374587527765547509298285552272983423844415233703136209786052427994759946347878643524692779025992415779036528716688127728063820609579285504699988410069
m: 100000000000000000000000000000000000
deg: 5
c5: 75
c0: 1
skew: 0.42
# Murphy_E = 1.591e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 17705235
Relations: 2053942 relations
Pruned matrix : 1182861 x 1183096
Total sieving time: 4.33 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.27 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 4.76 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

62655019960433722247187459907189492153308082231384529662266520173278338849125645966110390940169801505537431699822286244656796491569<131>

8222878433861116338540055747652606205715341481322540654150007547<64>
7619597013914940211960480577156519977829192173724674276924378527427<67>

Number: 30004_179
N = 62655019960433722247187459907189492153308082231384529662266520173278338849125645966110390940169801505537431699822286244656796491569 (131 digits)
SNFS difficulty: 181 digits.
Divisors found:
r1=8222878433861116338540055747652606205715341481322540654150007547 (pp64)
r2=7619597013914940211960480577156519977829192173724674276924378527427 (pp67)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 8.59 hours.
Factorization parameters were as follows:
n: 62655019960433722247187459907189492153308082231384529662266520173278338849125645966110390940169801505537431699822286244656796491569 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 3
c3: 3
c0: 40
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
maxa: 10000000
maxb: 10000000
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 19741398
Relations: 4583344 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 2.78 hours.
Total relation processing time: 0.30 hours.
Pruned matrix : 3493990 x 3494238
Matrix solve time: 5.35 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,181,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 8.59 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

30769969146863721061210496756748750467071455208196852655039659295741102950559318202499793134570294628823389737590881563709338195732742651473888618291353837664089<161>

715667937812449024854989187740740665062986706842993<51>
42994757094913241286609583102052497622065817162188619594566958800619334622802229395665207726715985933829639273<110>

Number: 30004_180
N = 30769969146863721061210496756748750467071455208196852655039659295741102950559318202499793134570294628823389737590881563709338195732742651473888618291353837664089 (161 digits)
SNFS difficulty: 181 digits.
Divisors found:
r1=715667937812449024854989187740740665062986706842993 (pp51)
r2=42994757094913241286609583102052497622065817162188619594566958800619334622802229395665207726715985933829639273 (pp110)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 8.06 hours.
Factorization parameters were as follows:
n: 30769969146863721061210496756748750467071455208196852655039659295741102950559318202499793134570294628823389737590881563709338195732742651473888618291353837664089 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 3
c3: 3
c0: 4
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
maxa: 10000000
maxb: 10000000
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 17386764
Relations: 4204468 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 2.23 hours.
Total relation processing time: 0.39 hours.
Pruned matrix : 3220899 x 3221147
Matrix solve time: 5.16 hours.
time per square root: 0.29 hours.
Prototype def-par.txt line would be: snfs,181,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 8.06 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

14612839094830079200492298476501767838161384396364943440102621800462549956731972974932364985096644046337169254612160704732982970456116031830712019753205793<155>

2842407454840612104160373982829208596701625594010129953<55>
5141007869911280410490062994836121185245674240847901127966629481101172340900856997343078928974113281<100>

14612839094830079200492298476501767838161384396364943440102621800462549956731972974932364985096644046337169254612160704732982970456116031830712019753205793=2842407454840612104160373982829208596701625594010129953*5141007869911280410490062994836121185245674240847901127966629481101172340900856997343078928974113281

cado polynomial
n: 14612839094830079200492298476501767838161384396364943440102621800462549956731972974932364985096644046337169254612160704732982970456116031830712019753205793
skew: 0.84
type: snfs
c0: 5
c5: 12
Y0: 5000000000000000000000000000000000000
Y1: -1
# f(x) = 12*x^5+5
# g(x) = -x+5000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8300000
tasks.lim1 = 8300000
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: 2842407454840612104160373982829208596701625594010129953 5141007869911280410490062994836121185245674240847901127966629481101172340900856997343078928974113281
Info:Square Root: Total cpu/real time for sqrt: 901.54/277.792
Info:Quadratic Characters: Total cpu/real time for characters: 50.4/20.248
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 217.14/184.14
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 168.4s
Info:Square Root: Total cpu/real time for sqrt: 901.54/277.792
Info:Linear Algebra: Total cpu/real time for bwc: 30819.9/7951.06
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 19646.9, WCT time 5047.64, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43520 iterations)
Info:Linear Algebra: Lingen CPU time 272.15, WCT time 69.23
Info:Linear Algebra: Mksol: CPU time 10658.92,  WCT time 2743.53, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (21760 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.1/32.161
Info:Filtering - Singleton removal: Total cpu/real time for purge: 93.33/106.011
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22408194
Info:Lattice Sieving: Average J: 1893.95 for 941863 special-q, max bucket fill -bkmult 1.0,1s:1.168650
Info:Lattice Sieving: Total time: 169371s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.63/103.672
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 103.6s
Info:Filtering - Merging: Merged matrix has 1387254 rows and total weight 236826406 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 346.97/97.0509
Info:Filtering - Merging: Total cpu/real time for replay: 52.93/44.8572
Info:Generate Factor Base: Total cpu/real time for makefb: 3.5/1.92072
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 348502/93838.7
Info:root: Cleaning up computation data in /tmp/cado.u7g94r8l
2842407454840612104160373982829208596701625594010129953 5141007869911280410490062994836121185245674240847901127966629481101172340900856997343078928974113281

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)

75000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<185>

3895423728133798728246425933604025299540775819595302999<55>
24461427075286349580677034183281280555682464814570789003<56>
787090676439489142371346903263153066177591721065399508069568038820768653333<75>

Number: n
N=75000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001  ( 185 digits)
SNFS difficulty: 185 digits.
Divisors found:

Mon Jun 20 11:06:38 2022  found factor: 787090676439489142371346903263153066177591721065399508069568038820768653333
Mon Jun 20 11:07:32 2022  found factor: 787090676439489142371346903263153066177591721065399508069568038820768653333
Mon Jun 20 11:08:26 2022  p55 factor: 3895423728133798728246425933604025299540775819595302999
Mon Jun 20 11:08:26 2022  p56 factor: 24461427075286349580677034183281280555682464814570789003
Mon Jun 20 11:08:26 2022  p75 factor: 787090676439489142371346903263153066177591721065399508069568038820768653333
Mon Jun 20 11:08:26 2022  elapsed time 00:23:04 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 3x10^185+4 = 30(184)4
#
n: 75000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
m: 10000000000000000000000000000000000000
deg: 5
c5: 3
c0: 4
skew: 1.06
# Murphy_E = 7.778e-11
type: snfs
lss: 1
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8600000/8600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 9900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2847846 hash collisions in 28832615 relations (27795591 unique)
Msieve: matrix is 931443 x 931669 (321.6 MB)

Sieving start time : 2022/06/20 08:24:22
Sieving end time  : 2022/06/20 10:44:54

Total sieving time: 2hrs 20min 32secs.

Total relation processing time: 0hrs 13min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 43sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8600000,8600000,28,28,54,54,2.5,2.5,100000
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)

85007335048265091919586227096768124163021861212260792951296980270908105105769984313893107303440753073028552417357024653694557<125>

3605578782277241777681463643894275470807195943104068833553903<61>
23576612849539635953369169868270843575756825753807503591110216819<65>

85007335048265091919586227096768124163021861212260792951296980270908105105769984313893107303440753073028552417357024653694557=3605578782277241777681463643894275470807195943104068833553903*23576612849539635953369169868270843575756825753807503591110216819

cado polynomial
n: 85007335048265091919586227096768124163021861212260792951296980270908105105769984313893107303440753073028552417357024653694557
skew: 68348.439
c0: 26275313843636167465414083750
c1: -3446179237430621110801145
c2: -1748014035470697962
c3: -795213379803341
c4: -8348566434
c5: 70560
Y0: -1487737470129777462596196
Y1: 102619866449782627
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.549e-07
# f(x) = 70560*x^5-8348566434*x^4-795213379803341*x^3-1748014035470697962*x^2-3446179237430621110801145*x+26275313843636167465414083750
# g(x) = 102619866449782627*x-1487737470129777462596196

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: 23576612849539635953369169868270843575756825753807503591110216819 3605578782277241777681463643894275470807195943104068833553903
Info:Square Root: Total cpu/real time for sqrt: 520.37/370.251
Info:Quadratic Characters: Total cpu/real time for characters: 29.66/24.4188
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 167.91/205.971
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 179.19999999999996s
Info:Square Root: Total cpu/real time for sqrt: 520.37/370.251
Info:Linear Algebra: Total cpu/real time for bwc: 10122.3/7699.13
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5938.96, WCT time 4424.97, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (24576 iterations)
Info:Linear Algebra: Lingen CPU time 837.82, WCT time 712.24
Info:Linear Algebra: Mksol: CPU time 3222.23,  WCT time 2462.7, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (12288 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 95.74/151.454
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11895940
Info:Lattice Sieving: Average J: 3786.98 for 209032 special-q, max bucket fill -bkmult 1.0,1s:1.314560
Info:Lattice Sieving: Total time: 119981s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.58/6.44663
Info:Generate Free Relations: Total cpu/real time for freerel: 127.48/83.2372
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.84/78.5427
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 77.80000000000001s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2923.34
Info:Polynomial Selection (root optimized): Rootsieve time: 2920.82
Info:Filtering - Merging: Merged matrix has 781558 rows and total weight 133553053 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 168.32/120.401
Info:Filtering - Merging: Total cpu/real time for replay: 32.64/35.4778
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): 20040/37.520/44.508/49.460/0.869
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15896/35.740/39.891/45.280/0.976
Info:Polynomial Selection (size optimized): Total time: 1977.59
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 131017/71276.7
Info:root: Cleaning up computation data in /tmp/cado.aci1_7ne
23576612849539635953369169868270843575756825753807503591110216819 3605578782277241777681463643894275470807195943104068833553903

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)

234772467792932733469666531747090610454094689700211155498754617740600295548171761602080272635695495916190732451860172933166865335667432622709060743215597791619<159>

13282532772657512393441656508018738995768489<44>
17675278639343455685528620686191715768828568325726890697818857097919739179147037658807117721005649717653395404420171<116>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 234772467792932733469666531747090610454094689700211155498754617740600295548171761602080272635695495916190732451860172933166865335667432622709060743215597791619 (159 digits)
Using B1=16000000, B2=58558467250, polynomial Dickson(12), sigma=1:3457523470
Step 1 took 36784ms
Step 2 took 15976ms
********** Factor found in step 2: 13282532772657512393441656508018738995768489
Found prime factor of 44 digits: 13282532772657512393441656508018738995768489
Prime cofactor 17675278639343455685528620686191715768828568325726890697818857097919739179147037658807117721005649717653395404420171 has 116 digits

321888412017167381974248927038626609442060085836909871244635193133047210300429184549356223175965665236051502145922746781115879828326180257510729613733905579399141630901287553648068669527897<189>

15001459246703224027055316381010652230832993537342478121451<59>
21457140050419212766956658895158899693575256524941730088699192517160358563036301834521294287078928829621774607026938236438377004747<131>

Number: n
N=321888412017167381974248927038626609442060085836909871244635193133047210300429184549356223175965665236051502145922746781115879828326180257510729613733905579399141630901287553648068669527897  ( 189 digits)
SNFS difficulty: 191 digits.
Divisors found:

Wed Jun 22 17:52:25 2022  p59 factor: 15001459246703224027055316381010652230832993537342478121451
Wed Jun 22 17:52:25 2022  p131 factor: 21457140050419212766956658895158899693575256524941730088699192517160358563036301834521294287078928829621774607026938236438377004747
Wed Jun 22 17:52:25 2022  elapsed time 00:41:44 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 3x10^191+4 = 30(190)4
#
n: 321888412017167381974248927038626609442060085836909871244635193133047210300429184549356223175965665236051502145922746781115879828326180257510729613733905579399141630901287553648068669527897
m: 100000000000000000000000000000000000000
deg: 5
c5: 15
c0: 2
skew: 0.67
# Murphy_E = 3.603e-11
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 25350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3369384 hash collisions in 28690140 relations (26972466 unique)
Msieve: matrix is 1299863 x 1300088 (449.0 MB)

Sieving start time : 2022/06/22 10:37:51
Sieving end time  : 2022/06/22 17:09:51

Total sieving time: 6hrs 32min 0secs.

Total relation processing time: 0hrs 30min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 13sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
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)

700107389001065190443362191670035148168783036885067371917584310382260406449490121395159295236377552438395934161004980066070970914868261968341<141>

378454168921924694214638070952252521989485898243793819144313821907<66>
1849913269539112236966867824190142423738490290315943023505697330897451892663<76>

700107389001065190443362191670035148168783036885067371917584310382260406449490121395159295236377552438395934161004980066070970914868261968341=
378454168921924694214638070952252521989485898243793819144313821907*1849913269539112236966867824190142423738490290315943023505697330897451892663

cado polynomial
n: 700107389001065190443362191670035148168783036885067371917584310382260406449490121395159295236377552438395934161004980066070970914868261968341
skew: 0.27
type: snfs
c0: 1
c5: 750
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 750*x^5+1
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11500000
tasks.lim1 = 11500000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1849913269539112236966867824190142423738490290315943023505697330897451892663 378454168921924694214638070952252521989485898243793819144313821907
Info:Square Root: Total cpu/real time for sqrt: 629.07/204.367
Info:Square Root: Total cpu/real time for sqrt: 629.07/204.367
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 113.25/111.302
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 110.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 360.14/348.53
Info:Filtering - Merging: Merged matrix has 2145665 rows and total weight 366246309 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 586.8/160.461
Info:Filtering - Merging: Total cpu/real time for replay: 83.83/76.3088
Info:Quadratic Characters: Total cpu/real time for characters: 76.6/34.06
Info:Generate Factor Base: Total cpu/real time for makefb: 4.88/2.39119
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26366093
Info:Lattice Sieving: Average J: 1894.15 for 2010580 special-q, max bucket fill -bkmult 1.0,1s:1.156850
Info:Lattice Sieving: Total time: 419338s
Info:Linear Algebra: Total cpu/real time for bwc: 78464.2/20117.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 50094.98, WCT time 12781.8, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (67072 iterations)
Info:Linear Algebra: Lingen CPU time 479.81, WCT time 121.57
Info:Linear Algebra: Mksol: CPU time 27156.39,  WCT time 6961.05, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (33792 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 120.45/31.9886
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 474.69/495.191
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 411.2s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 861697/231190
Info:root: Cleaning up computation data in /tmp/cado.g_9cy3tf
1849913269539112236966867824190142423738490290315943023505697330897451892663 378454168921924694214638070952252521989485898243793819144313821907

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

4439082936478631435577108967133452936888170220577224639324437952761168121755820343412669081689612765537379411985368197930012459727711544808609987394947069257<157>

22301426907294053661450459579545419<35>
199049278547587254005617359847655199782976373421646995021185030637136119348466491270309164836045066969729212246045899507003<123>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 4439082936478631435577108967133452936888170220577224639324437952761168121755820343412669081689612765537379411985368197930012459727711544808609987394947069257 (157 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2444179215
Step 1 took 2301ms
Step 2 took 1350ms
********** Factor found in step 2: 22301426907294053661450459579545419
Found prime factor of 35 digits: 22301426907294053661450459579545419
Prime cofactor 199049278547587254005617359847655199782976373421646995021185030637136119348466491270309164836045066969729212246045899507003 has 123 digits

GMP-ECM 7.0.4

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)

5272197014066783860896022546238613579519903497334125884963246515526622380405518387346164514653642683576700364806264069249434575873684445362831641713069377393753758630705133302974371<181>

1914489958667874581116486963379680552457761<43>
913048276161303638623172513639059846851560044048813<51>
3016093475091402582507882347738032715910385440122635745176583402502416172663249605609647<88>

Number: n
N=5272197014066783860896022546238613579519903497334125884963246515526622380405518387346164514653642683576700364806264069249434575873684445362831641713069377393753758630705133302974371  ( 181 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sun Jul 24 02:41:35 2022  found factor: 1914489958667874581116486963379680552457761
Sun Jul 24 02:43:34 2022  p43 factor: 1914489958667874581116486963379680552457761
Sun Jul 24 02:43:34 2022  p51 factor: 913048276161303638623172513639059846851560044048813
Sun Jul 24 02:43:34 2022  p88 factor: 3016093475091402582507882347738032715910385440122635745176583402502416172663249605609647
Sun Jul 24 02:43:34 2022  elapsed time 01:06:42 (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 = 3x10^196+4 = 30(195)4
#
n: 5272197014066783860896022546238613579519903497334125884963246515526622380405518387346164514653642683576700364806264069249434575873684445362831641713069377393753758630705133302974371
m: 1000000000000000000000000000000000000000
deg: 5
c5: 15
c0: 2
skew: 0.67
# Murphy_E = 2.235e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3450099 hash collisions in 28594983 relations (26761305 unique)
Msieve: matrix is 1664450 x 1664676 (578.4 MB)

Sieving start time : 2022/07/23 18:40:44
Sieving end time  : 2022/07/24 01:36:04

Total sieving time: 6hrs 55min 20secs.

Total relation processing time: 0hrs 54min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 57sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13000000,13000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

75000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<197>

33577094877914565112333782935220133489<38>
541979244893477323201905297011109491909<39>
34847180405655737683244614516904895242924589311458328520427<59>
118268161659602254733306707858699459435968398030694344530203863<63>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 75000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (197 digits)
Using B1=20510000, B2=70272954580, polynomial Dickson(12), sigma=1:3265304518
Step 1 took 66254ms
Step 2 took 23855ms
********** Factor found in step 2: 33577094877914565112333782935220133489
Found prime factor of 38 digits: 33577094877914565112333782935220133489
Composite cofactor 2233665547084940782085581751906738537009424871819666281078367235859489996795148342117117580155580634601561273630592357515761200394210649658416194909219130827409 has 160 digits


GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2233665547084940782085581751906738537009424871819666281078367235859489996795148342117117580155580634601561273630592357515761200394210649658416194909219130827409 (160 digits)
Using B1=21350000, B2=96186180106, polynomial Dickson(12), sigma=1:1457984721
Step 1 took 49532ms
Step 2 took 18796ms
********** Factor found in step 2: 541979244893477323201905297011109491909
Found prime factor of 39 digits: 541979244893477323201905297011109491909
Composite cofactor 4121311965597416861564571137398719294350098698477691275755501737579480416358846503027491049594835213840713309941469809501 has 121 digits


CADO


STA:Sun 24 Jul 2022 07:31:29 AEST (4,121,311,965,597,416,861,564,571,137,398,719,294,350,098,698,477,691,275,755,501,737,579,480,416,358,846,503,027,491,049,594,835,213,840,713,309,941,469,809,501 - C121)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 4121311965597416861564571137398719294350098698477691275755501737579480416358846503027491049594835213840713309941469809501 2>&1 | tee -a log173

Debug:root: Looking for parameter file for c121 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.j015yrnh
Info:Database: Opened connection to database /tmp/cado.j015yrnh/c120.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 4121311965597416861564571137398719294350098698477691275755501737579480416358846503027491049594835213840713309941469809501
Debug:root: Root parameter dictionary:
N = 4121311965597416861564571137398719294350098698477691275755501737579480416358846503027491049594835213840713309941469809501
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 4121311965597416861564571137398719294350098698477691275755501737579480416358846503027491049594835213840713309941469809501
skew: 16392.028
c0: 186262559382975273539452350
c1: 12812882832578357115257
c2: -4559488907720601153
c3: 4484252681236
c4: 1896178950
c5: -174960
Y0: -170581632590259444147664
Y1: 339094066997837791
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.53e-09
# f(x) = -174960*x^5+1896178950*x^4+4484252681236*x^3-4559488907720601153*x^2+12812882832578357115257*x+186262559382975273539452350
# g(x) = 339094066997837791*x-170581632590259444147664
===
Debug:Command: Process with PID 127495 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 34847180405655737683244614516904895242924589311458328520427 118268161659602254733306707858699459435968398030694344530203863
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10492/35.950/43.163/48.790/1.047
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10492/34.700/38.368/43.620/1.148
Info:Polynomial Selection (size optimized): Total time: 1134.53
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 417.9
Info:Polynomial Selection (root optimized): Rootsieve time: 416.94
Info:Generate Factor Base: Total cpu/real time for makefb: 23.83/2.15506
Info:Generate Free Relations: Total cpu/real time for freerel: 151.45/10.1254
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 10519950
Info:Lattice Sieving: Average J: 7664.7 for 25603 special-q, max bucket fill: 0.647674
Info:Lattice Sieving: Total CPU time: 72524.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.56/34.863
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 34.300000000000004s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 225.62/117.789
Info:Filtering - Singleton removal: Total cpu/real time for purge: 174.28/94.2384
Info:Filtering - Merging: Total cpu/real time for merge: 401.9/329.59
Info:Filtering - Merging: Total cpu/real time for replay: 31.79/24.2667
Info:Linear Algebra: Total cpu/real time for bwc: 18627.6/0.000324726
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 771.65
Info:Linear Algebra: Lingen CPU time 203.92, WCT time 20.24
Info:Linear Algebra: Mksol: WCT time 442.72
Info:Quadratic Characters: Total cpu/real time for characters: 35.13/8.27848
Info:Square Root: Total cpu/real time for sqrt: 865.21/123.15
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 94640.4/6788.09
Info:root: Cleaning up computation data in /tmp/cado.j015yrnh
34847180405655737683244614516904895242924589311458328520427 118268161659602254733306707858699459435968398030694344530203863

END:Sun 24 Jul 2022 09:24:38 AEST (4,121,311,965,597,416,861,564,571,137,398,719,294,350,098,698,477,691,275,755,501,737,579,480,416,358,846,503,027,491,049,594,835,213,840,713,309,941,469,809,501 - C121)

8328043248434536050890672898913156248092921761774251796709079069882453074805170552761852021325426829679539779129931537511154549332010902992383989922878443459732516167762182058744060167<184>

921048570213481331585191896405314667029939722750266335274634914075193393<72>
9041915397039545820965795081890095192400061300665744859478619153660214334064030335902706110907318778324374324919<112>

Number: n
N=8328043248434536050890672898913156248092921761774251796709079069882453074805170552761852021325426829679539779129931537511154549332010902992383989922878443459732516167762182058744060167  ( 184 digits)
SNFS difficulty: 197 digits.
Divisors found:

Thu Jul 28 01:41:09 2022  p72 factor: 921048570213481331585191896405314667029939722750266335274634914075193393
Thu Jul 28 01:41:09 2022  p112 factor: 9041915397039545820965795081890095192400061300665744859478619153660214334064030335902706110907318778324374324919
Thu Jul 28 01:41:09 2022  elapsed time 01:05:47 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 3x10^198+4 = 30(197)4
#
n: 8328043248434536050890672898913156248092921761774251796709079069882453074805170552761852021325426829679539779129931537511154549332010902992383989922878443459732516167762182058744060167
m: 1000000000000000000000000000000000000000
deg: 5
c5: 750
c0: 1
skew: 0.27
# Murphy_E = 2.03e-11
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3301718 hash collisions in 27904288 relations (26185081 unique)
Msieve: matrix is 1701134 x 1701361 (593.2 MB)

Sieving start time : 2022/07/27 18:58:38
Sieving end time  : 2022/07/28 00:34:53

Total sieving time: 5hrs 36min 15secs.

Total relation processing time: 0hrs 55min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 18sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

339262355585977887569409175784266011703162144940413404315731700091490198454940386628361425245396372150590347515692123840251666076733196175692914909668151141505277881714143589733167797784499<189>

122059643057170622719719561245868089845248439477996103688758831633<66>
2779480154854076349209861887940108701489322294503007024636756228836545167242746775352721635126909629433054932856169279011203<124>

Number: n
N=339262355585977887569409175784266011703162144940413404315731700091490198454940386628361425245396372150590347515692123840251666076733196175692914909668151141505277881714143589733167797784499  ( 189 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sat Oct 14 01:06:58 2023  prp66 factor: 122059643057170622719719561245868089845248439477996103688758831633
Sat Oct 14 01:06:58 2023  prp124 factor: 2779480154854076349209861887940108701489322294503007024636756228836545167242746775352721635126909629433054932856169279011203
Sat Oct 14 01:06:58 2023  elapsed time 02:25:06 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.103).
Factorization parameters were as follows:
#
# N = 3x10^205+4 = 30(204)4
#
n: 339262355585977887569409175784266011703162144940413404315731700091490198454940386628361425245396372150590347515692123840251666076733196175692914909668151141505277881714143589733167797784499
m: 100000000000000000000000000000000000000000
deg: 5
c5: 3
c0: 4
skew: 1.06
# Murphy_E = 1.145e-11
type: snfs
lss: 1
rlim: 18600000
alim: 18600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18600000/18600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3127588 hash collisions in 19282186 relations (16647558 unique)
Msieve: matrix is 2131400 x 2131626 (598.4 MB)

Sieving start time: 2023/10/13 08:18:24
Sieving end time  : 2023/10/13 22:41:29

Total sieving time: 14hrs 23min 5secs.

Total relation processing time: 2hrs 14min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 16sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18600000,18600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

816538215533921650133761969880023873443535675273734665517101343944930433050705105952926460825272104256444204244788720012733379999617359305024597195791984024087955745919379935424390952609812748876153<198>

39014853388994431140063818377721688609231933701473373585466890141<65>
20928906419119241670469512920948212541186977175395869390129445845626529791518755275264561874050978044206623954186159446883634949691533<134>

Number: n
N=816538215533921650133761969880023873443535675273734665517101343944930433050705105952926460825272104256444204244788720012733379999617359305024597195791984024087955745919379935424390952609812748876153  ( 198 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sun Apr 28 15:08:47 2024  prp65 factor: 39014853388994431140063818377721688609231933701473373585466890141
Sun Apr 28 15:08:47 2024  prp134 factor: 20928906419119241670469512920948212541186977175395869390129445845626529791518755275264561874050978044206623954186159446883634949691533
Sun Apr 28 15:08:47 2024  elapsed time 02:33:55 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.940).
Factorization parameters were as follows:
#
# N = 3x10^207+4 = 30(206)4
#
n: 816538215533921650133761969880023873443535675273734665517101343944930433050705105952926460825272104256444204244788720012733379999617359305024597195791984024087955745919379935424390952609812748876153
m: 100000000000000000000000000000000000000000
deg: 5
c5: 75
c0: 1
skew: 0.42
# Murphy_E = 9.174e-12
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19600000/19600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4104827 hash collisions in 20868091 relations (17040395 unique)
Msieve: matrix is 2210978 x 2211203 (622.7 MB)

Sieving start time: 2024/04/27 19:55:09
Sieving end time  : 2024/04/28 12:34:26

Total sieving time: 16hrs 39min 17secs.

Total relation processing time: 2hrs 25min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 37sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

16498359205763820013517702258224194534108485328020378693335245724278130333595493082010336806119851584762610081396568867745359413141590988392070204458330331083645858905043<170>

277280042820374506153402761516341919648001<42>
73456668257784667951735277447826067145305909206665683<53>
810010999010531229030933615106741893627329321578030962053019180735082609921<75>

ECM:

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 16498359205763820013517702258224194534108485328020378693335245724278130333595493082010336806119851584762610081396568867745359413141590988392070204458330331083645858905043 (170 digits)
Using B1=63840000, B2=388133141770, polynomial Dickson(30), sigma=1:2677455147
Step 1 took 146853ms
Step 2 took 57714ms
********** Factor found in step 2: 277280042820374506153402761516341919648001
Found prime factor of 42 digits: 277280042820374506153402761516341919648001
Composite cofactor 59500709239473337411740417542854383721504196503943587781083427177213360235715352713077082943308962056997368730379612829746041043 has 128 digits

CADO:

STA:Mon Aug 12 04:47:28 PM AEST 2024 (59500709239473337411740417542854383721504196503943587781083427177213360235715352713077082943308962056997368730379612829746041043 - C128)

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 59500709239473337411740417542854383721504196503943587781083427177213360235715352713077082943308962056997368730379612829746041043 2>&1 | tee -a log-58

/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]
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.5e0nite_
Info:Database: Opened connection to database /tmp/cado.5e0nite_/c130.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 59500709239473337411740417542854383721504196503943587781083427177213360235715352713077082943308962056997368730379612829746041043
Info:root: If this computation gets interrupted, it can be resumed with /home/bob/Downloads/Math/cado-nfs/cado-nfs.py /tmp/cado.5e0nite_/c130.parameters_snapshot.0
Info:Server Launcher: Adding VM9 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,VM9
Info:Lattice Sieving: param rels_wanted is 30000000
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 59500709239473337411740417542854383721504196503943587781083427177213360235715352713077082943308962056997368730379612829746041043
skew: 41898.007
c0: 110206756145431375871763696292
c1: 5274716879969794130279045
c2: -232989966293085691678
c3: -9672177758693495
c4: 58662434250
c5: 126000
Y0: -525157087267381155948623
Y1: 76939871716153807537
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.517e+13) = 1.907e-06
# f(x) = 126000*x^5+58662434250*x^4-9672177758693495*x^3-232989966293085691678*x^2+5274716879969794130279045*x+110206756145431375871763696292
# g(x) = 76939871716153807537*x-525157087267381155948623
Info:Polynomial Selection (root optimized): Best overall polynomial was 4-th in list after size optimization
===
Info:Quadratic Characters: Total cpu/real time for characters: 29.45/7.69866
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 73456668257784667951735277447826067145305909206665683 810010999010531229030933615106741893627329321578030962053019180735082609921
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1028.43/124.66
Info:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55159.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 37733/36.680/46.815/56.300/1.877
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 31207/36.680/40.925/49.250/1.159
Info:Polynomial Selection (size optimized): Total time: 5235.46
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30782518
Info:Lattice Sieving: Average J: 3812.15 for 177965 special-q, max bucket fill -bkmult 1.0,1s:1.228660
Info:Lattice Sieving: Total time: 89352.1s
Info:Generate Free Relations: Total cpu/real time for freerel: 214.08/25.6151
Info:Filtering - Singleton removal: Total cpu/real time for purge: 156.43/180.314
Info:Linear Algebra: Total cpu/real time for bwc: 9205.71/1349.28
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5439.75, WCT time 773.33, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (36000 iterations)
Info:Linear Algebra: Lingen CPU time 41.63, WCT time 42.06
Info:Linear Algebra: Mksol: CPU time 2942.32,  WCT time 425.79, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (18000 iterations)
Info:Square Root: Total cpu/real time for sqrt: 1028.43/124.66
Info:Quadratic Characters: Total cpu/real time for characters: 29.45/7.69866
Info:Generate Factor Base: Total cpu/real time for makefb: 2.04/0.375192
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 122.38/118.505
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 118.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 359.74/274.027
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 210.1s
Info:Filtering - Merging: Total cpu/real time for merge: 67.05/12.1602
Info:Filtering - Merging: Total cpu/real time for replay: 16.7/14.5201
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 419.95
Info:Polynomial Selection (root optimized): Rootsieve time: 419.55
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 101621/12593.5 [03:29:54]
Info:root: Cleaning up computation data in /tmp/cado.5e0nite_
73456668257784667951735277447826067145305909206665683 810010999010531229030933615106741893627329321578030962053019180735082609921

END:Mon Aug 12 08:17:23 PM AEST 2024 (59500709239473337411740417542854383721504196503943587781083427177213360235715352713077082943308962056997368730379612829746041043 - C128)

ECM and CADO-NFS

16823484198763078267905183369742983273491523360413069241690931456448669945085650970182216092742524351946832736605881609545056695645332791923404316620584522721271632420237524631709037740290113614078459<200>

34571869538405510068932127536929451747314004394463<50>
486623501227610919095051156873075192376991928237603927834945391754305588287680244433429164287070234359209026415923097842770636605162206493653614721893<150>

11/05/24 12:45:03 v1.34.5 @ RYZEN-9,
11/05/24 12:45:03 v1.34.5 @ RYZEN-9, ****************************
11/05/24 12:45:03 v1.34.5 @ RYZEN-9, Starting factorization of 300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004
11/05/24 12:45:03 v1.34.5 @ RYZEN-9, using pretesting plan: normal
11/05/24 12:45:03 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
11/05/24 12:45:03 v1.34.5 @ RYZEN-9, ****************************
11/05/24 12:45:03 v1.34.5 @ RYZEN-9, div: found prime factor = 2
11/05/24 12:45:03 v1.34.5 @ RYZEN-9, div: found prime factor = 2
11/05/24 12:45:03 v1.34.5 @ RYZEN-9, div: found prime factor = 17
11/05/24 12:45:03 v1.34.5 @ RYZEN-9, div: found prime factor = 43
11/05/24 12:45:03 v1.34.5 @ RYZEN-9, div: found prime factor = 461
11/05/24 12:45:03 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C204
11/05/24 12:45:03 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C204
11/05/24 12:45:03 v1.34.5 @ RYZEN-9, prp5 = 13229
11/05/24 12:45:03 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C200
11/05/24 12:45:03 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C200
11/05/24 12:45:03 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C200
11/05/24 12:45:04 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
11/05/24 12:45:04 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 61.54
11/05/24 12:45:04 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C200 input, B1=2K, B2=gmp-ecm default
11/05/24 12:45:04 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
11/05/24 12:45:04 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 61.54
11/05/24 12:45:06 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C200 input, B1=11K, B2=gmp-ecm default
11/05/24 12:45:06 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
11/05/24 12:45:06 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 61.54
11/05/24 12:45:39 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c210: 300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004
11/05/24 12:45:39 v1.34.5 @ RYZEN-9, nfs: input divides 3*10^209 + 4
11/05/24 12:45:39 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 16823484198763078267905183369742983273491523360413069241690931456448669945085650970182216092742524351946832736605881609545056695645332791923404316620584522721271632420237524631709037740290113614078459
11/05/24 12:45:39 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c200: 16823484198763078267905183369742983273491523360413069241690931456448669945085650970182216092742524351946832736605881609545056695645332791923404316620584522721271632420237524631709037740290113614078459
11/05/24 12:45:39 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 16823484198763078267905183369742983273491523360413069241690931456448669945085650970182216092742524351946832736605881609545056695645332791923404316620584522721271632420237524631709037740290113614078459
# 3*10^209+4, difficulty: 210.18, anorm: 1.55e+031, rnorm: 5.46e+047
# scaled difficulty: 212.93, suggest sieving rational side
# size = 2.118e-014, alpha = 0.674, combined = 7.210e-012, rroots = 1
type: snfs
size: 210
skew: 0.8394
c5: 12
c0: 5
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
n: 16823484198763078267905183369742983273491523360413069241690931456448669945085650970182216092742524351946832736605881609545056695645332791923404316620584522721271632420237524631709037740290113614078459
# 3*10^209+4, difficulty: 210.00, anorm: 2.19e+031, rnorm: 7.72e+047
# scaled difficulty: 212.76, suggest sieving rational side
# size = 1.816e-014, alpha = 0.443, combined = 6.555e-012, rroots = 1
type: snfs
size: 210
skew: 1.6788
c5: 3
c0: 40
Y1: -1
Y0: 1000000000000000000000000000000000000000000
m: 1000000000000000000000000000000000000000000
n: 16823484198763078267905183369742983273491523360413069241690931456448669945085650970182216092742524351946832736605881609545056695645332791923404316620584522721271632420237524631709037740290113614078459
# 3*10^209+4, difficulty: 210.18, anorm: 2.19e+037, rnorm: 5.70e+040
# scaled difficulty: 210.18, suggest sieving algebraic side
# size = 2.186e-010, alpha = 0.257, combined = 5.830e-012, rroots = 0
type: snfs
size: 210
skew: 0.7699
c6: 24
c0: 5
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
11/05/24 12:45:41 v1.34.5 @ RYZEN-9, test: fb generation took 1.6719 seconds
11/05/24 12:45:41 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000
skew: 0.8394
c5: 12
c0: 5
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
11/05/24 12:48:51 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
11/05/24 12:48:52 v1.34.5 @ RYZEN-9, test: fb generation took 1.6563 seconds
11/05/24 12:48:52 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 1.6788
c5: 3
c0: 40
Y1: -1
Y0: 1000000000000000000000000000000000000000000
m: 1000000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
11/05/24 12:52:02 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
11/05/24 12:52:05 v1.34.5 @ RYZEN-9, test: fb generation took 2.4532 seconds
11/05/24 12:52:05 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the algebraic side over range 21400000-21402000
skew: 0.7699
c6: 24
c0: 5
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
11/05/24 12:54:38 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
11/05/24 12:54:38 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 16823484198763078267905183369742983273491523360413069241690931456448669945085650970182216092742524351946832736605881609545056695645332791923404316620584522721271632420237524631709037740290113614078459
# 3*10^209+4, difficulty: 210.18, anorm: 1.55e+031, rnorm: 5.46e+047
# scaled difficulty: 212.93, suggest sieving rational side
# size = 2.118e-014, alpha = 0.674, combined = 7.210e-012, rroots = 1
type: snfs
size: 210
skew: 0.8394
c5: 12
c0: 5
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
11/05/24 12:54:38 v1.34.5 @ RYZEN-9, test: test sieving took 539.13 seconds
11/06/24 08:44:06 v1.34.5 @ RYZEN-9, nfs: previous data file found - commencing search for last special-q
11/06/24 08:44:07 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
11/06/24 08:44:07 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c200: 16823484198763078267905183369742983273491523360413069241690931456448669945085650970182216092742524351946832736605881609545056695645332791923404316620584522721271632420237524631709037740290113614078459
11/06/24 08:44:07 v1.34.5 @ RYZEN-9, nfs: resuming with filtering
11/07/24 03:52:52 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/07/24 03:54:57 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22213983
11/07/24 05:29:18 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/07/24 05:31:32 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23499787
11/07/24 07:05:25 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/07/24 07:07:44 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24776402
11/07/24 08:41:10 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/07/24 08:43:37 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 26032974
11/07/24 10:30:54 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/07/24 10:35:22 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
11/07/24 13:53:42 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
11/07/24 13:56:55 v1.34.5 @ RYZEN-9, prp50 = 34571869538405510068932127536929451747314004394463
11/07/24 13:56:55 v1.34.5 @ RYZEN-9, prp150 = 486623501227610919095051156873075192376991928237603927834945391754305588287680244433429164287070234359209026415923097842770636605162206493653614721893
11/07/24 13:56:56 v1.34.5 @ RYZEN-9, NFS elapsed time = 105169.2105 seconds.
11/07/24 13:56:56 v1.34.5 @ RYZEN-9,
11/07/24 13:56:56 v1.34.5 @ RYZEN-9,

YAFU

107142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143<210>

14560480113645631838052934128674047779075523<44>

7358470071494838234777247631560746160448627801075114865241018363182901985757484416147660413537786583940602768863449882941704313149620442686016514206351050421887730941<166>

Resuming ECM residue saved by @3b0e71bac72e with GMP-ECM 7.0.5-dev on Sat Jan 27 09:35:05 2024 
Input number is 107142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143 (210 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2375936459
Step 1 took 0ms
Step 2 took 8863ms
********** Factor found in step 2: 14560480113645631838052934128674047779075523
Found prime factor of 44 digits: 14560480113645631838052934128674047779075523
Composite cofactor 7358470071494838234777247631560746160448627801075114865241018363182901985757484416147660413537786583940602768863449882941704313149620442686016514206351050421887730941 has 166 digits

127444778726335370922623219005998213608124996703420579543756859109933836336670749573607905569892940430918826376438213313877642397121815875710873349407<150>

72905674934167451951421674306353307422400132126560292721133894633495226165648005962177326183845157241633627561707782594154428146419075308975075437673933161334079622544843<170>

21511740056515815570398802793076297888392394422767605766650436010990158691561432835739728837518101519758256457521049431250961234177975362122250295170472953474227907151119351490677969191121086082666846325071<206>

674006457944653881323417063958178902421825714851146622449479629341549766845134279335550913008878778582608408917479686534933921163412888294417545513874413864663776212001297648385431829265255742436731326689<204>

10285393610894872618024355269558171739<38>
65530448657862543111040454579057581680770652578586090544263003566187563927220337418477433806498558874378100682187945566243458755564127993380090348386935975562438312051<167>

GPU: factor 10285393610894872618024355269558171739 found in Step 1 with curve 826 (-sigma 3:-1669489560)
Computing 1792 Step 1 took 1020ms of CPU time / 643245ms of GPU time
Throughput: 2.786 curves per second (on average 358.95ms per Step 1)
********** Factor found in step 1: 10285393610894872618024355269558171739
Found prime factor of 38 digits: 10285393610894872618024355269558171739
Prime cofactor 65530448657862543111040454579057581680770652578586090544263003566187563927220337418477433806498558874378100682187945566243458755564127993380090348386935975562438312051 has 167 digits
Peak memory usage: 9470MB

7500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<217>

649073994943660853278089433091288420907493<42>
11554922949348778792784222437195673759335058071136322528091032695589641446156130263794880715433061523188201254873793803191937167291439947354785601792017851336086744991885925357<176>

Resuming ECM residue saved by @3b0e71bac72e with GMP-ECM 7.0.5-dev on Sat Jan 27 12:38:45 2024 
Input number is 7500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (217 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1192655108
Step 1 took 0ms
Step 2 took 9609ms
********** Factor found in step 2: 649073994943660853278089433091288420907493
Found prime factor of 42 digits: 649073994943660853278089433091288420907493
Prime cofactor 11554922949348778792784222437195673759335058071136322528091032695589641446156130263794880715433061523188201254873793803191937167291439947354785601792017851336086744991885925357 has 176 digits

200062272050104875582449033973957035477360315601709022672621302686250151664375601865697690772290785207875885046791735023183040891490620421703639608524359804493969851947772959489614095232587499411<195>

1702664539444640652875850183921329799124755346764197206229577502076028000049415258262992153906084184205037726950243586365520133158905645681824176383872712152034075508220793316969216065507987<190>

1033284917868646046311445216885638640356782149948953463945569786249991724756345268386485661154669477005914003075194306668116383446652986416647498069493756023531695034967895529<175>

36201244644447328828257824059290355312273106454971692278926193953624643018500742725960810593888582093458981557073255029425809401955017266118612186050082079155408857257722900062460596791070687289411402165770359853<212>

19406655252293495581800866796705716131<38>
3321019369513434591269638760198939869237<40>
561696092735433499052479402713343674733501713399223545842250987969600347544743396266665534647313255075874809149782580694853695233287699<135>

Resuming ECM residue saved by @68bb4d63d6e0 with GMP-ECM 7.0.5-dev on Tue Sep  6 11:46:34 2022 
Input number is 36201244644447328828257824059290355312273106454971692278926193953624643018500742725960810593888582093458981557073255029425809401955017266118612186050082079155408857257722900062460596791070687289411402165770359853 (212 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:948974330
Step 1 took 0ms
Step 2 took 11053ms
********** Factor found in step 2: 19406655252293495581800866796705716131
Found prime factor of 38 digits: 19406655252293495581800866796705716131
Composite cofactor 1865403603754389046756097651732045192198337690283916951205317696688880537463206783003618551454534256792090745531415128104410058881513515119184016835932309610169745048660615663 has 175 digits
---
Resuming ECM residue saved by @68bb4d63d6e0 with GMP-ECM 7.0.5-dev on Tue Sep  6 11:46:34 2022 
Input number is 1865403603754389046756097651732045192198337690283916951205317696688880537463206783003618551454534256792090745531415128104410058881513515119184016835932309610169745048660615663 (175 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:948975427
Step 1 took 0ms
Step 2 took 9585ms
********** Factor found in step 2: 3321019369513434591269638760198939869237
Found prime factor of 40 digits: 3321019369513434591269638760198939869237
Prime cofactor 561696092735433499052479402713343674733501713399223545842250987969600347544743396266665534647313255075874809149782580694853695233287699 has 135 digits

167513683868190920371526245694868177543464745222084884936536809089983767669362989786161457458746747880165561261381753830189153855583939704817784654149048270417871705176516637987046183293733508074740293198388659919<213>

23551686112799718428815173998324623453064212134653645257424752775382713741267047108296813615553331851471977331150257418625727587339531732037805314713739870871198749755407922079475809000493966894517616001<203>

175641175496118817455730436298223193536981204516120088142360916486629764601925158657797316851814299956471595544169024429268923811233106665918552208879992910561399506914607956951685433<183>

14541453809322537165105053563766753148658622956972973793368838393474790798333771019228046758910139058846109341673902003496320138455733933771861694851047371830982788356530427027957<179>

36790681284244299604942232077327<32>
395248288472166748918886637437154959431309449237673878376469084420320394388693891242946758430202086891595670511252319662100551775545224118754485691<147>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 14541453809322537165105053563766753148658622956972973793368838393474790798333771019228046758910139058846109341673902003496320138455733933771861694851047371830982788356530427027957 (179 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1185251490
Step 1 took 3418ms
Step 2 took 2021ms
********** Factor found in step 2: 36790681284244299604942232077327
Found prime factor of 32 digits: 36790681284244299604942232077327
Prime cofactor 395248288472166748918886637437154959431309449237673878376469084420320394388693891242946758430202086891595670511252319662100551775545224118754485691 has 147 digits

GMP-ECM 7.0.4

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)

42750669913708514521595334321564267494635185945053392494768160051691419608065963981003489514222778607952607413926076715390136078037270300850155058039098632279826553593214091265388584451579176930825510756991<206>

23041020834420217561504215372476077399<38>
1855415618124206774673252034899877329365463696930956220165831990027688069558485681959697699447880432065781380464116833144272852186601100123656977995986659948347794979609<169>

Resuming ECM residue saved by @68bb4d63d6e0 with GMP-ECM 7.0.5-dev on Tue Sep  6 11:11:27 2022 
Input number is 42750669913708514521595334321564267494635185945053392494768160051691419608065963981003489514222778607952607413926076715390136078037270300850155058039098632279826553593214091265388584451579176930825510756991 (206 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:544132267
Step 1 took 0ms
Step 2 took 10903ms
********** Factor found in step 2: 23041020834420217561504215372476077399
Found prime factor of 38 digits: 23041020834420217561504215372476077399
Prime cofactor 1855415618124206774673252034899877329365463696930956220165831990027688069558485681959697699447880432065781380464116833144272852186601100123656977995986659948347794979609 has 169 digits

18455499196885969992608418360736267685830866727870622018690711225605661190079964825995625260496937885829015097877283150721737277143478277258266958315972841475100438976667021281780016689845511967<194>

24944879588103275428014601918176966543941432308616882976688358165324092797726869629886298964197005230088434081898782474329059031331250132314085429193366216341685679506159598755875168250340003124029534738363589782729291571317<224>

189976203563930266422829280348008483543<39>

131305285189094188647423048942539363845651351958569205531702405249382888536157360692548948696078949475142333413358983071793926855279255394885107545769131618865495016920795555085090288019<186>

Resuming ECM residue saved by @7c01922c9129 with GMP-ECM 7.0.5-dev on Sat Jan 27 21:14:50 2024 
Input number is 24944879588103275428014601918176966543941432308616882976688358165324092797726869629886298964197005230088434081898782474329059031331250132314085429193366216341685679506159598755875168250340003124029534738363589782729291571317 (224 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2734872934
Step 1 took 0ms
Step 2 took 9854ms
********** Factor found in step 2: 189976203563930266422829280348008483543
Found prime factor of 39 digits: 189976203563930266422829280348008483543
Composite cofactor 131305285189094188647423048942539363845651351958569205531702405249382888536157360692548948696078949475142333413358983071793926855279255394885107545769131618865495016920795555085090288019 has 186 digits

118621096064921842563161550967177989669596360558185434623532347674065704172119088380737576236949699869788581218347673367878742461809111698364624732788708677016644176542031468203608286648743256369<195>

11678209116832706670602904052333275476580712469414225995849101098816724150279820246698512877305586485090424697672233053496144156334986033302201343509314409556050781274858472531472726915029449093383920473416391536205048649239<224>

2586375307131253013614549022028407782931485274662252948281018998692297573725748806196947125013519057011008761554331966817031444952936723256075711591165087601702935699629077906207618202614206160703158108559403896625016511993273919<229>

107142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143<240>

120214931479517698719703926946719689532735739746810489035014065746822357450475225742914392570865425393351704079696689043751528974871476581992971427166333103853758209012671728619461267837166326011970789007151<207>

77052114730318108235065722241<29>

1560176925711502708700225914966825869560803339700294640085027422434763348838345729055941133247146257982324157544144216194284546428181025649124975483377906064759134202656786062511<178>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 120214931479517698719703926946719689532735739746810489035014065746822357450475225742914392570865425393351704079696689043751528974871476581992971427166333103853758209012671728619461267837166326011970789007151 (207 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:78816902
Step 1 took 5931ms
Step 2 took 3078ms
********** Factor found in step 2: 77052114730318108235065722241
Found prime factor of 29 digits: 77052114730318108235065722241
Composite cofactor 1560176925711502708700225914966825869560803339700294640085027422434763348838345729055941133247146257982324157544144216194284546428181025649124975483377906064759134202656786062511 has 178 digits

GMP-ECM 7.0.4

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)

6595587097207629445134619771227609536044642713961338779420326306052995916899180850324222045749331453400140375391220493370902677448960829199730221553435923360305563882227065087027282383460965323404614840756834561286740999411<223>

1481045028490891583312972575513683039085531606242692901583854888565870010619148487078667509860912179511413534672470633477853503025195215201312672362189863573316905223117274564745644825064063932996204156083<205>

25297118133366790516388667038572823<35>

58545998033562547638744201917310088147589283641903999374348370209126140005032164246730984179802800276637616180770506391003429219161500887235393925001695168113336460071621<170>

Resuming ECM residue saved by @68bb4d63d6e0 with GMP-ECM 7.0.5-dev on Tue Sep  6 11:14:23 2022 
Input number is 1481045028490891583312972575513683039085531606242692901583854888565870010619148487078667509860912179511413534672470633477853503025195215201312672362189863573316905223117274564745644825064063932996204156083 (205 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4070225085
Step 1 took 0ms
Step 2 took 10747ms
********** Factor found in step 2: 25297118133366790516388667038572823
Found prime factor of 35 digits: 25297118133366790516388667038572823
Composite cofactor 58545998033562547638744201917310088147589283641903999374348370209126140005032164246730984179802800276637616180770506391003429219161500887235393925001695168113336460071621 has 170 digits

58545998033562547638744201917310088147589283641903999374348370209126140005032164246730984179802800276637616180770506391003429219161500887235393925001695168113336460071621<170>

23552412095116877281564274504507167725395551<44>

2485775036421891250451427523822221308873494688176451117870818226534571450555476754569360214524994863458551216479896788082612571<127>

Resuming ECM residue saved by @3b0e71bac72e with GMP-ECM 7.0.5-dev on Sat Jan 27 12:49:39 2024 
Input number is 58545998033562547638744201917310088147589283641903999374348370209126140005032164246730984179802800276637616180770506391003429219161500887235393925001695168113336460071621 (170 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:803003587
Step 1 took 0ms
Step 2 took 7078ms
********** Factor found in step 2: 23552412095116877281564274504507167725395551
Found prime factor of 44 digits: 23552412095116877281564274504507167725395551
Composite cofactor 2485775036421891250451427523822221308873494688176451117870818226534571450555476754569360214524994863458551216479896788082612571 has 127 digits

2485775036421891250451427523822221308873494688176451117870818226534571450555476754569360214524994863458551216479896788082612571<127>

149761016467730471866444813894378662279887<42>
16598278344067662364216783622416999368032483196503730672608067950707354023251700394933<86>

STA:Sat 10 Feb 2024 02:09:22 AEDT (2485775036421891250451427523822221308873494688176451117870818226534571450555476754569360214524994863458551216479896788082612571 - C127)



/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 2485775036421891250451427523822221308873494688176451117870818226534571450555476754569360214524994863458551216479896788082612571 2>&1 | tee -a log-24



Debug:root: Looking for parameter file for c127 in directory /home/vboxuser/Math/cado-nfs/parameters/factor

Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c125

Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c125

Info:root: No database exists yet

Info:root: Created temporary directory /tmp/cado.3h00l729

Info:Database: Opened connection to database /tmp/cado.3h00l729/c125.db

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

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

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

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

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

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

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

Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 2485775036421891250451427523822221308873494688176451117870818226534571450555476754569360214524994863458551216479896788082612571

Debug:root: Root parameter dictionary:

N = 2485775036421891250451427523822221308873494688176451117870818226534571450555476754569360214524994863458551216479896788082612571

name = c125

===

n: 2485775036421891250451427523822221308873494688176451117870818226534571450555476754569360214524994863458551216479896788082612571

skew: 153618.32

c0: 227499576573117449899292284771

c1: 5259857059748343613306700

c2: -147885596783819228315

c3: -421687713220800

c4: 2644932804

c5: 4560

Y0: -3227568289223632866845960

Y1: 6311764241022395561

# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=1.342e+13) = 3.012e-06

# f(x) = 4560*x^5+2644932804*x^4-421687713220800*x^3-147885596783819228315*x^2+5259857059748343613306700*x+227499576573117449899292284771

# g(x) = 6311764241022395561*x-3227568289223632866845960

===



Debug:Command: Process with PID 685397 finished successfully

Info:Square Root: finished

Info:Square Root: Factors: 16598278344067662364216783622416999368032483196503730672608067950707354023251700394933 149761016467730471866444813894378662279887

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

Info:Complete Factorization / Discrete logarithm: Square Root

Info:Square Root: Total cpu/real time for sqrt: 1444.02/209.951

Info:HTTP server: Got notification to stop serving Workunits

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

Info:Polynomial Selection (root optimized): Total time: 719.54

Info:Polynomial Selection (root optimized): Rootsieve time: 714.66

Info:Lattice Sieving: Aggregate statistics:

Info:Lattice Sieving: Total number of relations: 30539217

Info:Lattice Sieving: Average J: 3945.03 for 154414 special-q, max bucket fill -bkmult 1.0,1s:1.401520

Info:Lattice Sieving: Total time: 318298s

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

Info:Polynomial Selection (size optimized): potential collisions: 39499.6

Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 27200/38.100/46.518/58.520/2.141

Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 22429/35.960/40.835/51.350/1.555

Info:Polynomial Selection (size optimized): Total time: 2562.94

Info:Square Root: Total cpu/real time for sqrt: 1444.02/209.951

Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 663.83/1479.57

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

Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1145.0s

Info:Quadratic Characters: Total cpu/real time for characters: 44.32/11.5232

Info:Filtering - Singleton removal: Total cpu/real time for purge: 215.5/290.272

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 218.53/1050.62

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

Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 1047.6s

Info:Filtering - Merging: Total cpu/real time for merge: 91.61/16.1045

Info:Filtering - Merging: Total cpu/real time for replay: 19/17.4141

Info:Generate Factor Base: Total cpu/real time for makefb: 3.11/0.846614

Info:Generate Free Relations: Total cpu/real time for freerel: 243.64/28.8456

Info:Linear Algebra: Total cpu/real time for bwc: 10511.1/4888.99

Info:Linear Algebra: Aggregate statistics:

Info:Linear Algebra: Krylov: CPU time 6012.3, WCT time 2925.44, iteration CPU time 0.02, COMM 0.05, cpu-wait 0.01, comm-wait 0.01 (33000 iterations)

Info:Linear Algebra: Lingen CPU time 174.58, WCT time 27.08

Info:Linear Algebra: Mksol: CPU time 3412.77,  WCT time 1588.6, iteration CPU time 0.03, COMM 0.05, cpu-wait 0.01, comm-wait 0.0 (18000 iterations)

Info:HTTP server: Shutting down HTTP server

Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 147387/28075.7 [07:47:56]

Info:root: Cleaning up computation data in /tmp/cado.3h00l729

16598278344067662364216783622416999368032483196503730672608067950707354023251700394933 149761016467730471866444813894378662279887



END:Sat 10 Feb 2024 09:57:20 AEDT (2485775036421891250451427523822221308873494688176451117870818226534571450555476754569360214524994863458551216479896788082612571 - C127)

42233233712317227162986010233701358800565190224028476766215477061325271523000294374482582660706098727001369963575838318784086953610856243226035108068402926866835489834433356387780172777625739656424856551811907<209>

77592281704977116743911796221505321813<38>

544296839637958452364543023360276376414613108071657542417049811945038285108933647741168911166475476038331592957769857253950344588925362582827817207467396076891991965072439<171>

Resuming ECM residue saved by @68bb4d63d6e0 with GMP-ECM 7.0.5-dev on Tue Sep  6 11:20:14 2022 
Input number is 42233233712317227162986010233701358800565190224028476766215477061325271523000294374482582660706098727001369963575838318784086953610856243226035108068402926866835489834433356387780172777625739656424856551811907 (209 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:235550671
Step 1 took 0ms
Step 2 took 10897ms
********** Factor found in step 2: 77592281704977116743911796221505321813
Found prime factor of 38 digits: 77592281704977116743911796221505321813
Composite cofactor 544296839637958452364543023360276376414613108071657542417049811945038285108933647741168911166475476038331592957769857253950344588925362582827817207467396076891991965072439 has 171 digits

1584517077757823794187585193685611922216446260237706748732026356021828890286296194397966123643914008050099663827710978504240403603646958158623091880135439140409697333767516859557962822692014978456047879121<205>

24803819735589039353316743244485977180190181726835573599504679493426721377044944345088408418388770267854686599836826782070801253984159432095500285849305519620562383625831291709158655231598227288729960622391718576864015759270243499154566269<239>

6651722075001066957600892200880128799599867288496836225981505179133303786467901322611791867433254671137133328139014765473778425307864635687626384270162610663579222440753885412924672759567495680263673608574188497<211>

22374629627464104762698906801405728402100740962056255038794967013005836385601448071158350946150900758932471486275274103624095740865246190227727433260355493698835659873865972698278232818064562137008998765526034415435717892541<224>

142805931914944362261640988294212639213<39>

156678572993665982366973384606570110279125595154164082623937674522540597405336215278723294031281527576579857454345462441872211212415276370058732672441250277899392669060083792148508099857<186>

Resuming ECM residue saved by @7c01922c9129 with GMP-ECM 7.0.5-dev on Sat Jan 27 20:36:47 2024 
Input number is 22374629627464104762698906801405728402100740962056255038794967013005836385601448071158350946150900758932471486275274103624095740865246190227727433260355493698835659873865972698278232818064562137008998765526034415435717892541 (224 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1377790449
Step 1 took 0ms
Step 2 took 9906ms
********** Factor found in step 2: 142805931914944362261640988294212639213
Found prime factor of 39 digits: 142805931914944362261640988294212639213
Composite cofactor 156678572993665982366973384606570110279125595154164082623937674522540597405336215278723294031281527576579857454345462441872211212415276370058732672441250277899392669060083792148508099857 has 186 digits

17438308100654892998126795510451297698025531017168865519169908890061199158106968497653932500258036569440316071246853265808692560395064329931959545339526234988317473609150075430106292387429107595247567012561259278870769<218>

40159836619505733350658060381471157532197245255759158706528734867082825178516999268173586726127977339346586848260543092069080501745803845953386540641457372009729255702597661357115944455947852137761783000391036033<212>

2272230326448154734665953995795187741<37>

17674192687271158362516771540132707169627278099737105262632332380133667548544267255379289357391494588844037790477728253786422191264088874304406186090103674654033039802332639413<176>

Resuming ECM residue saved by @68bb4d63d6e0 with GMP-ECM 7.0.5-dev on Tue Sep  6 11:23:10 2022 
Input number is 40159836619505733350658060381471157532197245255759158706528734867082825178516999268173586726127977339346586848260543092069080501745803845953386540641457372009729255702597661357115944455947852137761783000391036033 (212 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:291692161
Step 1 took 1ms
Step 2 took 11333ms
********** Factor found in step 2: 2272230326448154734665953995795187741
Found prime factor of 37 digits: 2272230326448154734665953995795187741
Composite cofactor 17674192687271158362516771540132707169627278099737105262632332380133667548544267255379289357391494588844037790477728253786422191264088874304406186090103674654033039802332639413 has 176 digits

21587689207098012092178963364686947889216867740478010376394853129682339809119739400352952180628832873562442691847256076693687047826495902768526988465755223947306814747283254843006380084035853112251591155559213131955492105012476891<230>

95029804624815129159043761507876437852277490081152228851674403407701092078927690016892940655583876664973155765452044942484070643856091486987480481341083594503028436631194473658869855273882503844207140966613860130204141830313260055619452298852467<245>

1883369650963598913523665486412620183288615357965536737620688819068529018567274371739262169591904766796446861144248651424385621321405353038696685946248573560242846891292876082553302995243404913613682679551338370280621<217>

3941997908783845055055140851666286252967057813970780802946110647048003114844114839683028440871601595111654815605259463481384924292394051296404188612299385128512457620468140719579633532611159694339681884783586794308135339308531121<229>

20116312962791787042371491097899<32>
195960259520478535133414142891115737012948580517255808217935251555677994683894961601187578412574255215268407692626384784399137571495570043962760240318768178281072694774508611550416017040037341112979<198>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3941997908783845055055140851666286252967057813970780802946110647048003114844114839683028440871601595111654815605259463481384924292394051296404188612299385128512457620468140719579633532611159694339681884783586794308135339308531121 (229 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3073910352
Step 1 took 4219ms
Step 2 took 2245ms
********** Factor found in step 2: 20116312962791787042371491097899
Found prime factor of 32 digits: 20116312962791787042371491097899
Prime cofactor 195960259520478535133414142891115737012948580517255808217935251555677994683894961601187578412574255215268407692626384784399137571495570043962760240318768178281072694774508611550416017040037341112979 has 198 digits

GMP-ECM 7.0.4

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)

442290071981467202265612566191896475576592406199823007691569843937171319563076494611068829352773332557411952644974401585429531983403963881709150403044792814954033924273460981240891253554649158976816233923859604124617546334356355335286648207047<243>

278810408921933085501858736059479553903345724907063197026022304832713754646840148698884758364312267657992565055762081784386617100371747211895910780669144981412639405204460966542750929368029739776951672862453531598513011152416356877323420074349442379182156133829<261>

81130584091743775853724544460884000465674154020882366326426880013766415470194806679878364912725800954148181491098838642625005307362888680615705916105260129604102554577362849548215398268839491927042536908319685183023013522704532530708478744901<242>

16011335106723434062969932333163026752401<41>

5067071768279689113955250039506989663400853148066069845408801100453863654114639058271124306116162398816177757642959747458524220060566545229729761965943140206342376369518728624793009164130015568094992501<202>

Resuming ECM residue saved by @5666c9d8c2d7 with GMP-ECM 7.0.5-dev on Thu Aug 17 16:46:53 2023 
Input number is 81130584091743775853724544460884000465674154020882366326426880013766415470194806679878364912725800954148181491098838642625005307362888680615705916105260129604102554577362849548215398268839491927042536908319685183023013522704532530708478744901 (242 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3643611566
Step 1 took 0ms
Step 2 took 6104ms
********** Factor found in step 2: 16011335106723434062969932333163026752401
Found prime factor of 41 digits: 16011335106723434062969932333163026752401
Composite cofactor 5067071768279689113955250039506989663400853148066069845408801100453863654114639058271124306116162398816177757642959747458524220060566545229729761965943140206342376369518728624793009164130015568094992501 has 202 digits

112516955687173637098719692826595219407287622460093381324691901170610083754834123646912875607101144557445621749370914474756978177250525476096316286103653756159587826807492372960526817001839026193644124880801889958366699907339<225>

13945757429499045433903<23>
110575559650495445458076234569<30>

72965358423862469849314417326754119295272978757641391130257532253542440803979218256202964457807340789442630152776621949336851310552064341227954514943472212044960825092511677<173>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]

Input number is 112516955687173637098719692826595219407287622460093381324691901170610083754834123646912875607101144557445621749370914474756978177250525476096316286103653756159587826807492372960526817001839026193644124880801889958366699907339 (225 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2659091033
Step 1 took 4510ms
Step 2 took 2364ms
********** Factor found in step 2: 13945757429499045433903
Found prime factor of 23 digits: 13945757429499045433903
Composite cofactor 8068185342817584873647200046874372106200368035486782928881826306864603614561679718186057657620431327926366284916390720255282582126435844015507641160480901945268132674335450104463774587304425078823562213 has 202 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1540927483
Step 1 took 4082ms
Step 2 took 1919ms
********** Factor found in step 2: 110575559650495445458076234569
Found prime factor of 30 digits: 110575559650495445458076234569
Composite cofactor 72965358423862469849314417326754119295272978757641391130257532253542440803979218256202964457807340789442630152776621949336851310552064341227954514943472212044960825092511677 has 173 digits

GMP-ECM 7.0.4

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)

72965358423862469849314417326754119295272978757641391130257532253542440803979218256202964457807340789442630152776621949336851310552064341227954514943472212044960825092511677<173>

43271450404186326472433249158010046432656420197<47>
1686224005488925919078591789432463201418597435271346724855816905336927864668317295812297655709028416113326667854255525516158841<127>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1383161736
Step 1 took 7234ms
Step 2 took 3969ms
********** Factor found in step 2: 43271450404186326472433249158010046432656420197
Found prime factor of 47 digits: 43271450404186326472433249158010046432656420197
Prime cofactor 1686224005488925919078591789432463201418597435271346724855816905336927864668317295812297655709028416113326667854255525516158841 has 127 digits
 

GMP-ECM

3816135863088463277521301781491058113328293223601568798493039219657963591438024300386658723392905225280555013232263783271713548338736429184170714960257307017809563954327002438260977703034930690906563057254919769232646346787255819<229>

659166031811834362360556154429406007596040611303434916119170324948033245567995169704488635260784610595531400664740419420269329496892488736407950434268567262481435290380113431002821960829068650848939450940761391734642965642834787441781565516611374073653<252>

3286237695441825208547755733649208047286283926720193283944251107442278281175197668020181419361514473998518365255239471483350830685563567998563919353801567452352580831561574809834689314346945433564780762850336935038629429274496250306423846795577<244>

330020188635207939864950848905427657757608698993540159601075223771854331989735768168921778390159742613317252501401118483265393031518348013490465384087053979093028212998616567130574179398245248030735117530470830025647<216>

21697872497967412881069554924374354873545105681953274736863513027408271052089679556547351945783033067530047660184152325009929789449437278328103619481939569456640279018417191024993043168200448747714032567387481375994498628199210073<230>

961096036969443678780627777203399934805799370786909331674982340021673106815634990919431461936170905158502705386037503494771260580156719595149625271264942064755639225042811172512483<180>

545026777479065341679023970353946880652050604902100253484580107031927568446837103372371027144152758827313481737657045498530963495272471326547329887787030757739022020360983771334847874075565040971275975431235252147343922154864408206053<234>

662105546680506526584453813918349602681427402629712951210717408194709031766963523743063048893150512597407575895099220804271377345874511854684478970561605641802575058298514734540773040999488609425044879147269588331942892610997291<228>

103512986685860537123374022696034271201941384649541667553929326668066187773395786936109214282168409466066259841622183750692360331038299998153830509332210853096950736406964465084647305210594245470129327187571785068963965047077319876165398656466243643<249>

7535442642823884919255636773727<31>

13736815684535467510800403256575441851603672243343503360196668621875027201801687944839454157763083035807655710851504429416756651563783325088063486117163379954085117015290888065256918908384379919175360651347509910406309<218>

Resuming ECM residue saved by @e1a10ee0fbdb with GMP-ECM 7.0.5-dev on Thu Aug 17 13:40:34 2023 
Input number is 103512986685860537123374022696034271201941384649541667553929326668066187773395786936109214282168409466066259841622183750692360331038299998153830509332210853096950736406964465084647305210594245470129327187571785068963965047077319876165398656466243643 (249 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1219866176
Step 1 took 0ms
Step 2 took 6228ms
********** Factor found in step 2: 7535442642823884919255636773727
Found prime factor of 31 digits: 7535442642823884919255636773727
Composite cofactor 13736815684535467510800403256575441851603672243343503360196668621875027201801687944839454157763083035807655710851504429416756651563783325088063486117163379954085117015290888065256918908384379919175360651347509910406309 has 218 digits

13736815684535467510800403256575441851603672243343503360196668621875027201801687944839454157763083035807655710851504429416756651563783325088063486117163379954085117015290888065256918908384379919175360651347509910406309<218>

293141417578637337286641813410797036808650351<45>
46860712477964550533628910421036673354089607120888691642084577527360293185020445468793331651687795247952461868311637252891392368018729232621948496094655067446336263758575659<173>

Resuming ECM residue saved by @3b0e71bac72e with GMP-ECM 7.0.5-dev on Sat Jan 27 12:28:01 2024 
Input number is 13736815684535467510800403256575441851603672243343503360196668621875027201801687944839454157763083035807655710851504429416756651563783325088063486117163379954085117015290888065256918908384379919175360651347509910406309 (218 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1680630440
Step 1 took 0ms
Step 2 took 10300ms
********** Factor found in step 2: 293141417578637337286641813410797036808650351
Found prime factor of 45 digits: 293141417578637337286641813410797036808650351
Prime cofactor 46860712477964550533628910421036673354089607120888691642084577527360293185020445468793331651687795247952461868311637252891392368018729232621948496094655067446336263758575659 has 173 digits

43789370767819350232180877472547115188074092152488765092510212892768980048809501004297541394398712415006509932208740941095817092755830392697063305551819024766222999962965869495962914863636892558884486448272804463568501735761029282822181273386844683965425991377195620215161<272>

134121986941140499685192623705454048304430652884118682797962863543262491019391992234019523316382336604967374796371541304129174069623485535358261168380046521461080588989183286692615709199774329059331846775335359873<213>

6669932105007103238313228711712402931445671509061532469789008910869091682863581188918013524048753726862706422999734429451105813552838843735642203868003482228030545312002052636325198919395723421967780815165950036081797456673580829314347039072369373<247>

10798635961456247310256135763672695715988978080281861217734861073548561930944595566772199168807738088521626717698624610029198564367439920506598035202317961853746460452300162989516444587232921004004422365700869236940241888951341163094906971456361383<248>

1288048036779241148840471770420178753023<40>

8383721455341209473213730165399584108251863924421031007373795775527771591224831783489235197509919485365933764070891837426753487291194746439462968488604139637297828341183336339027119729402094614039626196767321<208>

Resuming ECM residue saved by @3b0e71bac72e with GMP-ECM 7.0.5-dev on Sat Jan 27 14:46:58 2024 
Input number is 10798635961456247310256135763672695715988978080281861217734861073548561930944595566772199168807738088521626717698624610029198564367439920506598035202317961853746460452300162989516444587232921004004422365700869236940241888951341163094906971456361383 (248 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1545871998
Step 1 took 0ms
Step 2 took 11044ms
********** Factor found in step 2: 1288048036779241148840471770420178753023
Found prime factor of 40 digits: 1288048036779241148840471770420178753023
Composite cofactor 8383721455341209473213730165399584108251863924421031007373795775527771591224831783489235197509919485365933764070891837426753487291194746439462968488604139637297828341183336339027119729402094614039626196767321 has 208 digits

8740095651103461972416294009102478693242562879437201779343597261415185374769744777078633674258425919323179692219805918297036048292563648500972509751485975521048022747588113886525564814405225359049395340547094898750919823607497507556638713598704513581951<253>

9520705414162054421601605672759345293<37>

918009251510141779305124820247401790279342266933447924942542234955036726748379301401357942754481916970631255711391462010682420075806984870920121407296080427928938462002213420915337492006514867426340984962184669589307<216>

Resuming ECM residue saved by @d6315aa1804b with GMP-ECM 7.0.5-dev on Fri Sep  2 09:18:43 2022 
Input number is 8740095651103461972416294009102478693242562879437201779343597261415185374769744777078633674258425919323179692219805918297036048292563648500972509751485975521048022747588113886525564814405225359049395340547094898750919823607497507556638713598704513581951 (253 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1913395856
Step 1 took 0ms
Step 2 took 7223ms
********** Factor found in step 2: 9520705414162054421601605672759345293
Found prime factor of 37 digits: 9520705414162054421601605672759345293
Composite cofactor 918009251510141779305124820247401790279342266933447924942542234955036726748379301401357942754481916970631255711391462010682420075806984870920121407296080427928938462002213420915337492006514867426340984962184669589307 has 216 digits

22164627028432783552073574740599981677241656495565596952511547770681813480230630332439852590453842903034189676012258516388525224823200158403201163199626452152480812821202386687038421642132887282528067806027005381571442503479846443463947017675551234274197123326940069803798721544313<281>

3175397065717584384227730984327753446915634546442960404735968748804871693325304992293682066418105879173933667306322371810978917673231553183210150414538844589682737037512804361577127066873954163098046520309072199127216873228051436088064998838012746749026875147425855703<268>

312520009613076798072342016747407305168882310933085100727514562877661506401725741398941851660450586113083957725561212161083329350270464545572665625890855238609795115679044591325920716236716726552419872890212599709433910866859798133227709431729088591256339398383006911<267>

29070058605511398623042895607219693217057159855776394754162192649664055011881888803527337395693018186971383481555974646882719600458198308728911100324724532905230775713975470082817687806865348296090988075636953283145039590330368059971<233>

750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<291>

6044111920007962938102566071970889961009081679308648259356369188379855522551384321992977113932791385882523812741592807837057428931622291386052372490067689727725371120791000494780083536202438567599099683205844326137019232984041671181454147410593869929884229531276409495863103<274>

108987997946671931377924635342906692786856196252577894931899263637414241031843027719599056057565495825122462147803486333363533665368805132913864298843218682556364992301153217845862770622230514158276965552150410435649048747595156211240462055227627704154439527207914210844347356450407503<285>

174987188853810142008201770642463000981063977612083141188402759435379681584816945599120084544083227248600855408522829620003993182358720496812720604733075444461318465052250792564115317149726162468952262564448011410091248889014321880745784721619017<246>

7905427251817975541104492980874621454796522820669416352682180254664460294367392767120663078187762055236430369721602373723439337859615929863075727661987662453626921804457545957980735809162522510294994531736498717473917738573764967009068640458969059642549051<256>

57004931294857826314983010586476039925017937037124487501272510730919595667535863767949770143723867403626691463547982325598262092395338481687629017559529654929050127195832999198119363762662089750489250558163691615780670537698918033440212168950249599<248>

1751317209459525458706890434806148987<37>
32549746549027594864025618737053223196031297050286246475660919742646877934778262892405292582015283167721955860350869778223392940592865418512164362323373889717530126488426524725336263825514815266815053904993724877<212>

GPU: factor 1751317209459525458706890434806148987 found in Step 1 with curve 156 (-sigma 3:-1472740457)
GPU: factor 1751317209459525458706890434806148987 found in Step 1 with curve 867 (-sigma 3:-1472739746)
GPU: factor 1751317209459525458706890434806148987 found in Step 1 with curve 1005 (-sigma 3:-1472739608)
Computing 1792 Step 1 took 1346ms of CPU time / 982698ms of GPU time
Throughput: 1.824 curves per second (on average 548.38ms per Step 1)
********** Factor found in step 1: 1751317209459525458706890434806148987
Found prime factor of 37 digits: 1751317209459525458706890434806148987
Prime cofactor 32549746549027594864025618737053223196031297050286246475660919742646877934778262892405292582015283167721955860350869778223392940592865418512164362323373889717530126488426524725336263825514815266815053904993724877 has 212 digits
Peak memory usage: 9470MB

33101031275555880652350030764992051959226813806421569248318708700319150994023155982997330760035115131663434805717188095217549140999704524432068976879957737124313341650512266918678107499530261532877223787102654237598387897289746227097882459801857711045863460564632901016554729295317<281>

38127726564854815744681349<26>

868161683315983045679357522470261183890078010213844477685585430853512747218776292870274753255306190529472529545393685417628559908104673904284824768860349519778931051825830204019164896831887322744358967835553566713845175044610101226711109256694083273609233<255>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 33101031275555880652350030764992051959226813806421569248318708700319150994023155982997330760035115131663434805717188095217549140999704524432068976879957737124313341650512266918678107499530261532877223787102654237598387897289746227097882459801857711045863460564632901016554729295317 (281 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:611881271
Step 1 took 5101ms
Step 2 took 2418ms
********** Factor found in step 2: 38127726564854815744681349
Found prime factor of 26 digits: 38127726564854815744681349
Composite cofactor 868161683315983045679357522470261183890078010213844477685585430853512747218776292870274753255306190529472529545393685417628559908104673904284824768860349519778931051825830204019164896831887322744358967835553566713845175044610101226711109256694083273609233 has 255 digits

GMP-ECM 7.0.4

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)

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