6620610247553252734599884858952216465169833045480713874496257915947035118019573978123200921128382268278641335636154289<118>

8716911221386389904013286498469303907<37>
72778774430875218638580758601680327597<38>
10435918074617230697485369013225498670964391<44>

6620610247553252734599884858952216465169833045480713874496257915947035118019573978123200921128382268278641335636154289=8716911221386389904013286498469303907*72778774430875218638580758601680327597*10435918074617230697485369013225498670964391

cado polynomial
n: 6620610247553252734599884858952216465169833045480713874496257915947035118019573978123200921128382268278641335636154289
skew: 0.88
type: snfs
c0: -14
c4: 23
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 23*x^4-14
# g(x) = -x+1000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 72778774430875218638580758601680327597 10435918074617230697485369013225498670964391 8716911221386389904013286498469303907
Info:Square Root: Total cpu/real time for sqrt: 13.36/11.4981
Info:Filtering - Singleton removal: Total cpu/real time for purge: 29.89/41.1759
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3401778
Info:Lattice Sieving: Average J: 1898.78 for 17576 special-q, max bucket fill -bkmult 1.0,1s:1.347090
Info:Lattice Sieving: Total time: 3259.9s
Info:Linear Algebra: Total cpu/real time for bwc: 111.49/106.44
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 28.78, WCT time 30.08, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1920 iterations)
Info:Linear Algebra: Lingen CPU time 63.54, WCT time 55.74
Info:Linear Algebra: Mksol: CPU time 15.56,  WCT time 16.99, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (960 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 18.21/6.38311
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.97/21.9726
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 25.11/43.6333
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.0s
Info:Filtering - Merging: Merged matrix has 59230 rows and total weight 10084516 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 20.62/17.893
Info:Filtering - Merging: Total cpu/real time for replay: 1.93/2.05505
Info:Generate Factor Base: Total cpu/real time for makefb: 0.38/0.20679
Info:Quadratic Characters: Total cpu/real time for characters: 1.93/1.73071
Info:Square Root: Total cpu/real time for sqrt: 13.36/11.4981
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3223.49/2098.65
Info:root: Cleaning up computation data in /tmp/cado.hxtb4wux
72778774430875218638580758601680327597 10435918074617230697485369013225498670964391 8716911221386389904013286498469303907

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)

493911525817173661015634942798182726172917347281717693757993293564496194059432519346346199<90>

11481294442326890560329089716187675384804153<44>
43018801433775756215403759416967200891988925583<47>

Sun May 29 22:54:42 2022  Msieve v. 1.53 (SVN 1005)
Sun May 29 22:54:42 2022  random seeds: c0049368 da5fcd4f
Sun May 29 22:54:42 2022  factoring 493911525817173661015634942798182726172917347281717693757993293564496194059432519346346199 (90 digits)
Sun May 29 22:54:42 2022  searching for 15-digit factors
Sun May 29 22:54:43 2022  commencing quadratic sieve (90-digit input)
Sun May 29 22:54:43 2022  using multiplier of 1
Sun May 29 22:54:43 2022  using generic 32kb sieve core
Sun May 29 22:54:43 2022  sieve interval: 36 blocks of size 32768
Sun May 29 22:54:43 2022  processing polynomials in batches of 6
Sun May 29 22:54:43 2022  using a sieve bound of 1584943 (59717 primes)
Sun May 29 22:54:43 2022  using large prime bound of 126795440 (26 bits)
Sun May 29 22:54:43 2022  using double large prime bound of 385111478867040 (42-49 bits)
Sun May 29 22:54:43 2022  using trial factoring cutoff of 49 bits
Sun May 29 22:54:43 2022  polynomial 'A' values have 11 factors
Sun May 29 23:20:12 2022  59938 relations (15537 full + 44401 combined from 647133 partial), need 59813
Sun May 29 23:20:13 2022  begin with 662670 relations
Sun May 29 23:20:13 2022  reduce to 148662 relations in 9 passes
Sun May 29 23:20:13 2022  attempting to read 148662 relations
Sun May 29 23:20:13 2022  recovered 148662 relations
Sun May 29 23:20:13 2022  recovered 129342 polynomials
Sun May 29 23:20:13 2022  attempting to build 59938 cycles
Sun May 29 23:20:13 2022  found 59938 cycles in 5 passes
Sun May 29 23:20:13 2022  distribution of cycle lengths:
Sun May 29 23:20:13 2022     length 1 : 15537
Sun May 29 23:20:13 2022     length 2 : 10899
Sun May 29 23:20:13 2022     length 3 : 10697
Sun May 29 23:20:13 2022     length 4 : 8136
Sun May 29 23:20:13 2022     length 5 : 5890
Sun May 29 23:20:13 2022     length 6 : 3644
Sun May 29 23:20:13 2022     length 7 : 2356
Sun May 29 23:20:13 2022     length 9+: 2779
Sun May 29 23:20:13 2022  largest cycle: 20 relations
Sun May 29 23:20:13 2022  matrix is 59717 x 59938 (16.0 MB) with weight 3725404 (62.15/col)
Sun May 29 23:20:13 2022  sparse part has weight 3725404 (62.15/col)
Sun May 29 23:20:14 2022  filtering completed in 3 passes
Sun May 29 23:20:14 2022  matrix is 56278 x 56342 (15.2 MB) with weight 3526538 (62.59/col)
Sun May 29 23:20:14 2022  sparse part has weight 3526538 (62.59/col)
Sun May 29 23:20:14 2022  saving the first 48 matrix rows for later
Sun May 29 23:20:14 2022  matrix includes 64 packed rows
Sun May 29 23:20:14 2022  matrix is 56230 x 56342 (11.6 MB) with weight 2959732 (52.53/col)
Sun May 29 23:20:14 2022  sparse part has weight 2485062 (44.11/col)
Sun May 29 23:20:14 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun May 29 23:20:14 2022  commencing Lanczos iteration
Sun May 29 23:20:14 2022  memory use: 7.0 MB
Sun May 29 23:20:19 2022  lanczos halted after 891 iterations (dim = 56228)
Sun May 29 23:20:19 2022  recovered 16 nontrivial dependencies
Sun May 29 23:20:19 2022  p44 factor: 11481294442326890560329089716187675384804153
Sun May 29 23:20:19 2022  p47 factor: 43018801433775756215403759416967200891988925583
Sun May 29 23:20:19 2022  elapsed time 00:25:37

Msieve 1.53

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

150535316504963237427133321617388831206139337999422296917961830431172452292098673<81>

5055824850098477158321611279896387<34>
29774630444729729201528847424716701247759864379<47>

150535316504963237427133321617388831206139337999422296917961830431172452292098673 = 5055824850098477158321611279896387 * 29774630444729729201528847424716701247759864379

Time elapsed: 0d 0h 5m 35.9s

Modular multiplications:

ECM: 78622512
Probable prime checking: 1349
SIQS: 118897
Sum of squares: 8050
SIQS:

847228 polynomials sieved
372477 sets of trial divisions
14053 smooth congruences found (1 out of every 4724654 values)
158577 partial congruences found (1 out of every 418696 values)
14761 useful partial congruences
Size of binary matrix: 26728 × 26052
Timings:

Probable prime test of 3 numbers: 0d 0h 0m 0.0s
Factoring 1 number using ECM: 0d 0h 0m 14.6s
Factoring 1 number using SIQS: 0d 0h 5m 21.3s

Dario Alpern's calculator

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

3563586578219067549456926448719570805351044420602500850690091639643060012750202899774065512169973535566561770171658585227<121>

274117806775870659762184338157542669733198292517671<51>
13000200972470183290119777580031855141174688089530967945771348905853437<71>

N=3563586578219067549456926448719570805351044420602500850690091639643060012750202899774065512169973535566561770171658585227
  ( 121 digits)
SNFS difficulty: 128 digits.
Divisors found:
p51 factor: 274117806775870659762184338157542669733198292517671
p71 factor: 13000200972470183290119777580031855141174688089530967945771348905853437
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.74 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3563586578219067549456926448719570805351044420602500850690091639643060012750202899774065512169973535566561770171658585227
m: 50000000000000000000000000000000
deg: 4
c4: 92
c0: -35
skew: 0.79
# Murphy_E = 1.811e-08
type: snfs
lss: 1
rlim: 980000
alim: 980000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 980000/980000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [490000, 890001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 106471 x 106699
Total sieving time: 1.70 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,128.000,4,0,0,0,0,0,0,0,0,980000,980000,26,26,47,47,2.3,2.3,100000
total time: 1.74 hours.
 --------- CPU info (if available) ----------

8306153999388470849726725650151337179902308262997064692791223008541193566837288886572581066020926217329<103>

107266265849319903498373270588559319475027538300327<51>
77434913331059468995088059992299522776359814121535527<53>

8306153999388470849726725650151337179902308262997064692791223008541193566837288886572581066020926217329=107266265849319903498373270588559319475027538300327*77434913331059468995088059992299522776359814121535527

cado polynomial
n: 8306153999388470849726725650151337179902308262997064692791223008541193566837288886572581066020926217329
skew: 0.50
type: snfs
c0: -7
c4: 115
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 115*x^4-7
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1200000
tasks.lim1 = 1200000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 47
tasks.sieve.mfb1 = 47
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 107266265849319903498373270588559319475027538300327 77434913331059468995088059992299522776359814121535527
Info:Square Root: Total cpu/real time for sqrt: 15.38/12.55
Info:Quadratic Characters: Total cpu/real time for characters: 3.54/2.81522
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 47.95/71.7945
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 67.19999999999999s
Info:Square Root: Total cpu/real time for sqrt: 15.38/12.55
Info:Linear Algebra: Total cpu/real time for bwc: 282.66/263.33
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 97.58, WCT time 95.53, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (3520 iterations)
Info:Linear Algebra: Lingen CPU time 121.81, WCT time 104.4
Info:Linear Algebra: Mksol: CPU time 56.41,  WCT time 56.71, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (1792 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 54.19/75.7442
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6090335
Info:Lattice Sieving: Average J: 1894.28 for 69278 special-q, max bucket fill -bkmult 1.0,1s:1.317480
Info:Lattice Sieving: Total time: 12954s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.5/24.9205
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.35/39.1933
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.0s
Info:Filtering - Merging: Merged matrix has 111795 rows and total weight 19018295 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 28.15/22.9271
Info:Filtering - Merging: Total cpu/real time for replay: 3.56/3.92135
Info:Generate Factor Base: Total cpu/real time for makefb: 0.63/0.786234
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12451.7/7221.47
Info:root: Cleaning up computation data in /tmp/cado.8auxwd5e
107266265849319903498373270588559319475027538300327 77434913331059468995088059992299522776359814121535527

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)

51263273192899061625361274057190538972461168387878607989052141626765872399682454436749593477127689678631289<107>

161108732771174931339833650042192889704024339157<48>
318190530774697555823347057422213761600853956453718541446677<60>

51263273192899061625361274057190538972461168387878607989052141626765872399682454436749593477127689678631289=161108732771174931339833650042192889704024339157*318190530774697555823347057422213761600853956453718541446677

cado polynomial
n: 51263273192899061625361274057190538972461168387878607989052141626765872399682454436749593477127689678631289
skew: 0.79
type: snfs
c0: -35
c4: 92
Y0: 5000000000000000000000000000000000
Y1: -1
# f(x) = 92*x^4-35
# g(x) = -x+5000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1330000
tasks.lim1 = 1330000
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: 161108732771174931339833650042192889704024339157 318190530774697555823347057422213761600853956453718541446677
Info:Square Root: Total cpu/real time for sqrt: 18.71/15.4237
Info:Filtering - Singleton removal: Total cpu/real time for purge: 48.44/69.1368
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6132818
Info:Lattice Sieving: Average J: 1894.45 for 67182 special-q, max bucket fill -bkmult 1.0,1s:1.372010
Info:Lattice Sieving: Total time: 12751.7s
Info:Linear Algebra: Total cpu/real time for bwc: 358.35/357.16
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 146.4, WCT time 156.99, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4096 iterations)
Info:Linear Algebra: Lingen CPU time 124.47, WCT time 108.02
Info:Linear Algebra: Mksol: CPU time 79.22,  WCT time 84.28, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2048 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.16/40.2701
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.76/75.5924
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 69.9s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.83/26.199
Info:Filtering - Merging: Merged matrix has 129757 rows and total weight 22116443 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 31.8/25.7877
Info:Filtering - Merging: Total cpu/real time for replay: 4.29/4.63933
Info:Generate Factor Base: Total cpu/real time for makefb: 0.68/0.907708
Info:Quadratic Characters: Total cpu/real time for characters: 4.21/3.79114
Info:Square Root: Total cpu/real time for sqrt: 18.71/15.4237
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12116.4/7189.73
Info:root: Cleaning up computation data in /tmp/cado.fo8uhmi_
161108732771174931339833650042192889704024339157 318190530774697555823347057422213761600853956453718541446677

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)

19549493577773869985744691686814450896684720851814279986071597237134196577145067116697337777<92>

1023328329728623057279909883150410721<37>
19103833061045236376956483399285126533198081884728989137<56>

19549493577773869985744691686814450896684720851814279986071597237134196577145067116697337777=1023328329728623057279909883150410721*19103833061045236376956483399285126533198081884728989137

cado polynomial
n: 19549493577773869985744691686814450896684720851814279986071597237134196577145067116697337777
skew: 132415.815
c0: -4748034534599448411573117
c1: -86538187831199063866
c2: 1065246549697651
c3: 1120826280
c4: -23940
Y0: -11449357419403757337550
Y1: 483439624740043
# MurphyE (Bf=8.389e+06,Bg=8.389e+06,area=4.214e+11) = 2.972e-06
# f(x) = -23940*x^4+1120826280*x^3+1065246549697651*x^2-86538187831199063866*x-4748034534599448411573117
# g(x) = 483439624740043*x-11449357419403757337550

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: 1023328329728623057279909883150410721 19103833061045236376956483399285126533198081884728989137
Info:Square Root: Total cpu/real time for sqrt: 17.16/12.8786
Info:Filtering - Singleton removal: Total cpu/real time for purge: 6.25/10.1594
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 1079405
Info:Lattice Sieving: Average J: 1022.2 for 31846 special-q, max bucket fill -bkmult 1.0,1s:1.409390
Info:Lattice Sieving: Total time: 1665.57s
Info:Linear Algebra: Total cpu/real time for bwc: 145.94/135.91
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 54.48, WCT time 53.24, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (2800 iterations)
Info:Linear Algebra: Lingen CPU time 55.46, WCT time 46.36
Info:Linear Algebra: Mksol: CPU time 29.69,  WCT time 30.69, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (1400 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 6.33/2.09413
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 4.41/8.48706
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 7.8s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 42.27
Info:Polynomial Selection (root optimized): Rootsieve time: 41.94
Info:Generate Factor Base: Total cpu/real time for makefb: 0.61/0.173393
Info:Filtering - Merging: Merged matrix has 86160 rows and total weight 14705773 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 22.13/17.838
Info:Filtering - Merging: Total cpu/real time for replay: 3.07/3.37902
Info:Quadratic Characters: Total cpu/real time for characters: 2.96/2.30465
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 2285.08
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2417/30.080/34.518/37.830/0.749
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 1499/30.350/33.324/36.160/1.110
Info:Polynomial Selection (size optimized): Total time: 37.7
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 9.88/18.3533
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 12.900000000000002s
Info:Square Root: Total cpu/real time for sqrt: 17.16/12.8786
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2178.42/1098.94
Info:root: Cleaning up computation data in /tmp/cado.x_og9ryp
1023328329728623057279909883150410721 19103833061045236376956483399285126533198081884728989137

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)

12799536990661903012899707280154039645174574554520462564136810355381927053769185392945785613320422496021013500729017106859438823778200719<137>

31363465541817984191752981827896563313416244215963123146138595637<65>
408103402144633583090963278954322821207897300063237148511521757707911987<72>

Number: n
N=12799536990661903012899707280154039645174574554520462564136810355381927053769185392945785613320422496021013500729017106859438823778200719  ( 137 digits)
SNFS difficulty: 141 digits.
Divisors found:

Mon May 30 05:52:45 2022  p65 factor: 31363465541817984191752981827896563313416244215963123146138595637
Mon May 30 05:52:45 2022  p72 factor: 408103402144633583090963278954322821207897300063237148511521757707911987
Mon May 30 05:52:45 2022  elapsed time 00:02:46 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 23x10^140-14 = 25(139)4
#
n: 12799536990661903012899707280154039645174574554520462564136810355381927053769185392945785613320422496021013500729017106859438823778200719
m: 100000000000000000000000000000000000
deg: 4
c4: 23
c0: -14
skew: 0.88
# Murphy_E = 3.895e-09
type: snfs
lss: 1
rlim: 1590000
alim: 1590000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1590000/1590000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6395000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 499967 hash collisions in 6966069 relations (7230536 unique)
Msieve: matrix is 215452 x 215678 (70.6 MB)

Sieving start time : 2022/05/30 05:29:28
Sieving end time  : 2022/05/30 05:47:37

Total sieving time: 0hrs 18min 9secs.

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

Prototype def-par.txt line would be:
snfs,141,4,0,0,0,0,0,0,0,0,1590000,1590000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

10470692374003144597754881011995316593861887336076144733125962404269045326019410434394545509501535799371269663467<113>

608850137038988861440861455556664774084121815527<48>
17197487094156035570227404312122340020333395378399895791900016221<65>

10470692374003144597754881011995316593861887336076144733125962404269045326019410434394545509501535799371269663467=608850137038988861440861455556664774084121815527*17197487094156035570227404312122340020333395378399895791900016221

cado polynomial
n: 10470692374003144597754881011995316593861887336076144733125962404269045326019410434394545509501535799371269663467
skew: 0.50
type: snfs
c0: -7
c4: 115
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 115*x^4-7
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1630000
tasks.lim1 = 1630000
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: 17197487094156035570227404312122340020333395378399895791900016221 608850137038988861440861455556664774084121815527
Info:Square Root: Total cpu/real time for sqrt: 26.65/20.8916
Info:Quadratic Characters: Total cpu/real time for characters: 5.73/4.66573
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.88/76.8179
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.1s
Info:Square Root: Total cpu/real time for sqrt: 26.65/20.8916
Info:Linear Algebra: Total cpu/real time for bwc: 618.87/578.38
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 288.36, WCT time 276.67, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5760 iterations)
Info:Linear Algebra: Lingen CPU time 155.36, WCT time 130.78
Info:Linear Algebra: Mksol: CPU time 158.38,  WCT time 155.39, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2944 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 43.25/61.0259
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6076430
Info:Lattice Sieving: Average J: 1895.62 for 124828 special-q, max bucket fill -bkmult 1.0,1s:1.330440
Info:Lattice Sieving: Total time: 21379.7s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.71/25.3803
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.97/40.0372
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.8s
Info:Filtering - Merging: Merged matrix has 182710 rows and total weight 31070798 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 40.97/31.0524
Info:Filtering - Merging: Total cpu/real time for replay: 6.14/6.54314
Info:Generate Factor Base: Total cpu/real time for makefb: 0.82/1.11851
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 20484/11662.5
Info:root: Cleaning up computation data in /tmp/cado.z35abkf6
17197487094156035570227404312122340020333395378399895791900016221 608850137038988861440861455556664774084121815527

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)

500358097566793896814369495440836238157591496878046476641739574172471357613208364404815216409910582552883376732456372516461971872345093<135>

254676536068888627344931846958335580433226277<45>
1964680787991594695471550926245592892661344959333312248971939189117565272236159433750131809<91>

Number: n
N=500358097566793896814369495440836238157591496878046476641739574172471357613208364404815216409910582552883376732456372516461971872345093  ( 135 digits)
SNFS difficulty: 145 digits.
Divisors found:

Mon May 30 07:12:18 2022  p45 factor: 254676536068888627344931846958335580433226277
Mon May 30 07:12:18 2022  p91 factor: 1964680787991594695471550926245592892661344959333312248971939189117565272236159433750131809
Mon May 30 07:12:18 2022  elapsed time 00:03:18 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 23x10^144-14 = 25(143)4
#
n: 500358097566793896814369495440836238157591496878046476641739574172471357613208364404815216409910582552883376732456372516461971872345093
m: 1000000000000000000000000000000000000
deg: 4
c4: 23
c0: -14
skew: 0.88
# Murphy_E = 2.448e-09
type: snfs
lss: 1
rlim: 1850000
alim: 1850000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1850000/1850000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6525000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 487548 hash collisions in 6496633 relations (6726364 unique)
Msieve: matrix is 271938 x 272163 (92.7 MB)

Sieving start time : 2022/05/30 06:47:45
Sieving end time  : 2022/05/30 07:08:42

Total sieving time: 0hrs 20min 57secs.

Total relation processing time: 0hrs 1min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 34sec.

Prototype def-par.txt line would be:
snfs,145,4,0,0,0,0,0,0,0,0,1850000,1850000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

4917448160290170378470507578173085002558288091314199250352668127508740616996249587061255199265521600762420821241<112>

908018909140448175663790811199288424572312286471316539<54>
5415579026812493597522213262499567115785176244188937213019<58>

4917448160290170378470507578173085002558288091314199250352668127508740616996249587061255199265521600762420821241=908018909140448175663790811199288424572312286471316539*5415579026812493597522213262499567115785176244188937213019

cado polynomial
n: 4917448160290170378470507578173085002558288091314199250352668127508740616996249587061255199265521600762420821241
skew: 0.50
type: snfs
c0: -7
c4: 115
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 115*x^4-7
# g(x) = -x+1000000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 5415579026812493597522213262499567115785176244188937213019 908018909140448175663790811199288424572312286471316539
Info:Square Root: Total cpu/real time for sqrt: 133.31/99.3012
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.7/77.7715
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.9s
Info:Square Root: Total cpu/real time for sqrt: 133.31/99.3012
Info:Filtering - Singleton removal: Total cpu/real time for purge: 34.59/51.9443
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6044876
Info:Lattice Sieving: Average J: 1895.95 for 152605 special-q, max bucket fill -bkmult 1.0,1s:1.322390
Info:Lattice Sieving: Total time: 25696s
Info:Linear Algebra: Total cpu/real time for bwc: 1055.8/907.22
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 572.61, WCT time 530.27, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7936 iterations)
Info:Linear Algebra: Lingen CPU time 147.38, WCT time 118.35
Info:Linear Algebra: Mksol: CPU time 312.0,  WCT time 237.05, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3968 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.41/23.9902
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.2/40.3422
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.2s
Info:Filtering - Merging: Merged matrix has 252100 rows and total weight 43048830 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 54.57/41.548
Info:Filtering - Merging: Total cpu/real time for replay: 8.86/9.76337
Info:Generate Factor Base: Total cpu/real time for makefb: 0.99/1.26694
Info:Quadratic Characters: Total cpu/real time for characters: 8.24/6.64952
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 25248.4/14301.8
Info:root: Cleaning up computation data in /tmp/cado.4lx0qt32
5415579026812493597522213262499567115785176244188937213019 908018909140448175663790811199288424572312286471316539

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)

417610226333470191439911799736584309881371849743616620539754611452119336210413323645553049<90>

8653911577997699445226841619427710415283<40>
48256816882117351452597356863135881309706725718403<50>

Sun May 29 23:00:07 2022  Msieve v. 1.53 (SVN 1005)
Sun May 29 23:00:07 2022  random seeds: 5a3cd498 c18b3cbc
Sun May 29 23:00:07 2022  factoring 417610226333470191439911799736584309881371849743616620539754611452119336210413323645553049 (90 digits)
Sun May 29 23:00:07 2022  searching for 15-digit factors
Sun May 29 23:00:07 2022  commencing quadratic sieve (90-digit input)
Sun May 29 23:00:07 2022  using multiplier of 1
Sun May 29 23:00:07 2022  using generic 32kb sieve core
Sun May 29 23:00:07 2022  sieve interval: 36 blocks of size 32768
Sun May 29 23:00:07 2022  processing polynomials in batches of 6
Sun May 29 23:00:07 2022  using a sieve bound of 1580023 (60000 primes)
Sun May 29 23:00:07 2022  using large prime bound of 126401840 (26 bits)
Sun May 29 23:00:07 2022  using double large prime bound of 382962309086640 (42-49 bits)
Sun May 29 23:00:07 2022  using trial factoring cutoff of 49 bits
Sun May 29 23:00:07 2022  polynomial 'A' values have 11 factors
Sun May 29 23:00:07 2022  restarting with 719 full and 30006 partial relations
Sun May 29 23:24:24 2022  60328 relations (15599 full + 44729 combined from 641587 partial), need 60096
Sun May 29 23:24:24 2022  begin with 657186 relations
Sun May 29 23:24:24 2022  reduce to 148595 relations in 12 passes
Sun May 29 23:24:24 2022  attempting to read 148595 relations
Sun May 29 23:24:24 2022  recovered 148595 relations
Sun May 29 23:24:24 2022  recovered 129093 polynomials
Sun May 29 23:24:24 2022  attempting to build 60328 cycles
Sun May 29 23:24:24 2022  found 60328 cycles in 6 passes
Sun May 29 23:24:24 2022  distribution of cycle lengths:
Sun May 29 23:24:24 2022     length 1 : 15599
Sun May 29 23:24:24 2022     length 2 : 11262
Sun May 29 23:24:24 2022     length 3 : 10520
Sun May 29 23:24:24 2022     length 4 : 8171
Sun May 29 23:24:24 2022     length 5 : 6026
Sun May 29 23:24:24 2022     length 6 : 3741
Sun May 29 23:24:24 2022     length 7 : 2254
Sun May 29 23:24:24 2022     length 9+: 2755
Sun May 29 23:24:24 2022  largest cycle: 21 relations
Sun May 29 23:24:24 2022  matrix is 60000 x 60328 (16.0 MB) with weight 3706046 (61.43/col)
Sun May 29 23:24:24 2022  sparse part has weight 3706046 (61.43/col)
Sun May 29 23:24:25 2022  filtering completed in 3 passes
Sun May 29 23:24:25 2022  matrix is 56415 x 56479 (15.0 MB) with weight 3487319 (61.75/col)
Sun May 29 23:24:25 2022  sparse part has weight 3487319 (61.75/col)
Sun May 29 23:24:25 2022  saving the first 48 matrix rows for later
Sun May 29 23:24:25 2022  matrix includes 64 packed rows
Sun May 29 23:24:25 2022  matrix is 56367 x 56479 (11.7 MB) with weight 2968583 (52.56/col)
Sun May 29 23:24:25 2022  sparse part has weight 2508291 (44.41/col)
Sun May 29 23:24:25 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun May 29 23:24:25 2022  commencing Lanczos iteration
Sun May 29 23:24:25 2022  memory use: 7.0 MB
Sun May 29 23:24:29 2022  lanczos halted after 893 iterations (dim = 56365)
Sun May 29 23:24:29 2022  recovered 16 nontrivial dependencies
Sun May 29 23:24:30 2022  p40 factor: 8653911577997699445226841619427710415283
Sun May 29 23:24:30 2022  p50 factor: 48256816882117351452597356863135881309706725718403
Sun May 29 23:24:30 2022  elapsed time 00:24:23

Msieve 1.53

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

600072042060930523487356627985662256455046965766457323554600777250007161138068401043528647686321093717010013965997<114>

10337165281951492362709673394922836535458121<44>
58049961057374761045544182795051725171813719614661166962264702746521157<71>

600072042060930523487356627985662256455046965766457323554600777250007161138068401043528647686321093717010013965997=10337165281951492362709673394922836535458121*58049961057374761045544182795051725171813719614661166962264702746521157

cado polynomial
n: 600072042060930523487356627985662256455046965766457323554600777250007161138068401043528647686321093717010013965997
skew: 0.50
type: snfs
c0: -7
c4: 115
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 115*x^4-7
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2200000
tasks.lim1 = 2200000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
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: 58049961057374761045544182795051725171813719614661166962264702746521157 10337165281951492362709673394922836535458121
Info:Square Root: Total cpu/real time for sqrt: 40.37/19.2797
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.41/112.504
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 100.4s
Info:Square Root: Total cpu/real time for sqrt: 40.37/19.2797
Info:Filtering - Singleton removal: Total cpu/real time for purge: 98.35/106.469
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11646759
Info:Lattice Sieving: Average J: 1896.59 for 316833 special-q, max bucket fill -bkmult 1.0,1s:1.314690
Info:Lattice Sieving: Total time: 63730.7s
Info:Linear Algebra: Total cpu/real time for bwc: 1079.51/639.08
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 643.3, WCT time 380.42, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (8192 iterations)
Info:Linear Algebra: Lingen CPU time 58.04, WCT time 26.65
Info:Linear Algebra: Mksol: CPU time 350.68,  WCT time 213.49, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4096 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 72.01/49.6865
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.64/59.4913
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 59.3s
Info:Filtering - Merging: Merged matrix has 261066 rows and total weight 44580662 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 59.25/27.1296
Info:Filtering - Merging: Total cpu/real time for replay: 10.9/10.7839
Info:Generate Factor Base: Total cpu/real time for makefb: 1.13/1.49726
Info:Quadratic Characters: Total cpu/real time for characters: 8.44/4.89057
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 59244.2/33078.4
Info:root: Cleaning up computation data in /tmp/cado.mvnad0ra
58049961057374761045544182795051725171813719614661166962264702746521157 10337165281951492362709673394922836535458121

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)

5765947723129098600074521291411667122837389610949830716886737626287947444842691268808721507361770841530065168341442922282042738053361587339963<142>

8771418179514809451211578787038818238239583907933730978910379397417567<70>
657356382414324898144087672281418657846005046086690391555718356701879589<72>

Number: n
N=5765947723129098600074521291411667122837389610949830716886737626287947444842691268808721507361770841530065168341442922282042738053361587339963  ( 142 digits)
SNFS difficulty: 153 digits.
Divisors found:

Tue May 31 21:30:05 2022  p70 factor: 8771418179514809451211578787038818238239583907933730978910379397417567
Tue May 31 21:30:05 2022  p72 factor: 657356382414324898144087672281418657846005046086690391555718356701879589
Tue May 31 21:30:05 2022  elapsed time 00:05:40 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 23x10^152-14 = 25(151)4
#
n: 5765947723129098600074521291411667122837389610949830716886737626287947444842691268808721507361770841530065168341442922282042738053361587339963
m: 100000000000000000000000000000000000000
deg: 4
c4: 23
c0: -14
skew: 0.88
# Murphy_E = 9.551e-10
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1478010 hash collisions in 13714812 relations (13594000 unique)
Msieve: matrix is 374878 x 375108 (124.3 MB)

Sieving start time : 2022/05/31 20:50:14
Sieving end time  : 2022/05/31 21:24:10

Total sieving time: 0hrs 33min 56secs.

Total relation processing time: 0hrs 2min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 24sec.

Prototype def-par.txt line would be:
snfs,153,4,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

9829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829<154>

16909673309716049567116258087269884003<38>
581268463856850259383448736209181118039248415828457969955004734867962314730833957273828002559988473734402653622815943<117>

Number: n
N=9829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829  ( 154 digits)
SNFS difficulty: 156 digits.
Divisors found:

Tue May 31 04:50:05 2022  p38 factor: 16909673309716049567116258087269884003
Tue May 31 04:50:05 2022  p117 factor: 581268463856850259383448736209181118039248415828457969955004734867962314730833957273828002559988473734402653622815943
Tue May 31 04:50:05 2022  elapsed time 00:05:25 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 23x10^155-14 = 25(154)4
#
n: 9829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829
m: 10000000000000000000000000000000
deg: 5
c5: 23
c0: -14
skew: 0.91
# Murphy_E = 9.404e-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 1144268 hash collisions in 14666770 relations (14180098 unique)
Msieve: matrix is 333106 x 333333 (111.7 MB)

Sieving start time : 2022/05/31 04:14:48
Sieving end time  : 2022/05/31 04:44:13

Total sieving time: 0hrs 29min 25secs.

Total relation processing time: 0hrs 1min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 14sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

184332850334790381671430761214628938916916609016971089675431938401443503942124422272740912713710213453857127688526826196209<123>

3417130043279912136664120223215655069608545009556138274200823<61>
53943762163016652844627969677923030152272691031025020948247383<62>

184332850334790381671430761214628938916916609016971089675431938401443503942124422272740912713710213453857127688526826196209=3417130043279912136664120223215655069608545009556138274200823*53943762163016652844627969677923030152272691031025020948247383

cado polynomial
n: 184332850334790381671430761214628938916916609016971089675431938401443503942124422272740912713710213453857127688526826196209
skew: 0.36
type: snfs
c0: -7
c5: 1150
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 1150*x^5-7
# g(x) = -x+10000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 3417130043279912136664120223215655069608545009556138274200823 53943762163016652844627969677923030152272691031025020948247383
Info:Square Root: Total cpu/real time for sqrt: 130.74/60.2348
Info:Filtering - Singleton removal: Total cpu/real time for purge: 81.09/119.466
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11645207
Info:Lattice Sieving: Average J: 1894.37 for 314024 special-q, max bucket fill -bkmult 1.0,1s:1.229440
Info:Lattice Sieving: Total time: 74730.6s
Info:Linear Algebra: Total cpu/real time for bwc: 2075.15/1195.33
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1275.62, WCT time 756.48, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (11648 iterations)
Info:Linear Algebra: Lingen CPU time 70.1, WCT time 29.67
Info:Linear Algebra: Mksol: CPU time 693.8,  WCT time 375.02, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5888 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.33/80.7536
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 80.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.15/154.596
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 144.4s
Info:Generate Free Relations: Total cpu/real time for freerel: 61.03/28.7162
Info:Filtering - Merging: Merged matrix has 371036 rows and total weight 63345020 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 81.83/70.2987
Info:Filtering - Merging: Total cpu/real time for replay: 12.9/14.7843
Info:Generate Factor Base: Total cpu/real time for makefb: 1.33/1.35691
Info:Quadratic Characters: Total cpu/real time for characters: 11.88/6.71494
Info:Square Root: Total cpu/real time for sqrt: 130.74/60.2348
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 67847.6/39361.3
Info:root: Cleaning up computation data in /tmp/cado.bvusy6lt
3417130043279912136664120223215655069608545009556138274200823 53943762163016652844627969677923030152272691031025020948247383

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)

975183487614318796106284691018921075039525880604327044807748781399753662732088846073890337859338061134645795087871828190044368955134514250636860557499<150>

176993626848850139879700921693499525799<39>
13578319165468320249075859937915435097713059<44>
405772581104950956571992257386834775547049766357510023113168262361039<69>

Number: n
N=975183487614318796106284691018921075039525880604327044807748781399753662732088846073890337859338061134645795087871828190044368955134514250636860557499  ( 150 digits)
SNFS difficulty: 160 digits.
Divisors found:

Wed Jun  1 06:18:41 2022  found factor: 13578319165468320249075859937915435097713059
Wed Jun  1 06:19:09 2022  found factor: 13578319165468320249075859937915435097713059
Wed Jun  1 06:19:38 2022  found factor: 13578319165468320249075859937915435097713059
Wed Jun  1 06:20:34 2022  p39 factor: 176993626848850139879700921693499525799
Wed Jun  1 06:20:34 2022  p44 factor: 13578319165468320249075859937915435097713059
Wed Jun  1 06:20:34 2022  p69 factor: 405772581104950956571992257386834775547049766357510023113168262361039
Wed Jun  1 06:20:34 2022  elapsed time 00:08:54 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 23x10^159-14 = 25(158)4
#
n: 975183487614318796106284691018921075039525880604327044807748781399753662732088846073890337859338061134645795087871828190044368955134514250636860557499
m: 50000000000000000000000000000000
deg: 5
c5: 184
c0: -35
skew: 0.72
# Murphy_E = 4.677e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1203578 hash collisions in 12371921 relations (11931804 unique)
Msieve: matrix is 484289 x 484514 (165.6 MB)

Sieving start time : 2022/06/01 05:46:30
Sieving end time  : 2022/06/01 06:11:25

Total sieving time: 0hrs 24min 55secs.

Total relation processing time: 0hrs 3min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 22sec.

Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

616332133430903237604195783553946246363628583725256111103495421981652358100794716332659651087941791446532596924998429<117>

69577115945006674024125033201348709608090577771291687<53>
8858259286257975655561839606763709768489717500075552734249514267<64>

616332133430903237604195783553946246363628583725256111103495421981652358100794716332659651087941791446532596924998429=69577115945006674024125033201348709608090577771291687*8858259286257975655561839606763709768489717500075552734249514267

cado polynomial
n: 616332133430903237604195783553946246363628583725256111103495421981652358100794716332659651087941791446532596924998429
skew: 0.91
type: snfs
c0: -14
c5: 23
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 23*x^5-14
# g(x) = -x+100000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 8858259286257975655561839606763709768489717500075552734249514267 69577115945006674024125033201348709608090577771291687
Info:Square Root: Total cpu/real time for sqrt: 127.09/102.935
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 108.83/160.783
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 150.5s
Info:Square Root: Total cpu/real time for sqrt: 127.09/102.935
Info:Filtering - Singleton removal: Total cpu/real time for purge: 79.24/116.489
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11660387
Info:Lattice Sieving: Average J: 1894.1 for 216444 special-q, max bucket fill -bkmult 1.0,1s:1.226690
Info:Lattice Sieving: Total time: 55593.6s
Info:Linear Algebra: Total cpu/real time for bwc: 2539.37/2404.77
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1356.7, WCT time 1281.33, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (12032 iterations)
Info:Linear Algebra: Lingen CPU time 403.17, WCT time 371.89
Info:Linear Algebra: Mksol: CPU time 741.57,  WCT time 716.39, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6016 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 60.07/41.6743
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.36/78.1676
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 78.0s
Info:Filtering - Merging: Merged matrix has 383750 rows and total weight 65476816 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 86.32/69.5448
Info:Filtering - Merging: Total cpu/real time for replay: 14.28/15.6399
Info:Generate Factor Base: Total cpu/real time for makefb: 1.48/1.95118
Info:Quadratic Characters: Total cpu/real time for characters: 12.82/11.1604
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 53017.2/31150.2
Info:root: Cleaning up computation data in /tmp/cado.t2x40mr7
8858259286257975655561839606763709768489717500075552734249514267 69577115945006674024125033201348709608090577771291687

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)

14977949208900222514320648253046623416203631608842776396322077722907987103684216028552242823321793898690319454862816818869144949972866201834158343<146>

1314069184353726727784570530252201896152108153273<49>
11398143558374773128077523488747601679168305969680803872567991480202952397682675387553319534438591<98>

Number: n
N=14977949208900222514320648253046623416203631608842776396322077722907987103684216028552242823321793898690319454862816818869144949972866201834158343  ( 146 digits)
SNFS difficulty: 162 digits.
Divisors found:

Wed Jun  1 20:52:21 2022  p49 factor: 1314069184353726727784570530252201896152108153273
Wed Jun  1 20:52:21 2022  p98 factor: 11398143558374773128077523488747601679168305969680803872567991480202952397682675387553319534438591
Wed Jun  1 20:52:21 2022  elapsed time 00:08:02 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 23x10^161-14 = 25(160)4
#
n: 14977949208900222514320648253046623416203631608842776396322077722907987103684216028552242823321793898690319454862816818869144949972866201834158343
m: 100000000000000000000000000000000
deg: 5
c5: 115
c0: -7
skew: 0.57
# Murphy_E = 4.714e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1082651 hash collisions in 12349244 relations (12056514 unique)
Msieve: matrix is 508953 x 509178 (174.9 MB)

Sieving start time : 2022/06/01 20:00:47
Sieving end time  : 2022/06/01 20:44:06

Total sieving time: 0hrs 43min 19secs.

Total relation processing time: 0hrs 4min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 0sec.

Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

41352031643293779216109313196691837468536497662711254944264653002517080186983099604458827759798633585041352031643293779216109313196691837468536497662711254944264653<164>

85073405549105548675115497920133622190880967453378366505241179101224277<71>
486074718372768249806483701799423109175231421544742109476249628807886121348360854164427752089<93>

Number: n
N=41352031643293779216109313196691837468536497662711254944264653002517080186983099604458827759798633585041352031643293779216109313196691837468536497662711254944264653  ( 164 digits)
SNFS difficulty: 167 digits.
Divisors found:

Fri Jun  3 22:27:59 2022  p71 factor: 85073405549105548675115497920133622190880967453378366505241179101224277
Fri Jun  3 22:27:59 2022  p93 factor: 486074718372768249806483701799423109175231421544742109476249628807886121348360854164427752089
Fri Jun  3 22:27:59 2022  elapsed time 00:09:43 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 23x10^166-14 = 25(165)4
#
n: 41352031643293779216109313196691837468536497662711254944264653002517080186983099604458827759798633585041352031643293779216109313196691837468536497662711254944264653
m: 1000000000000000000000000000000000
deg: 5
c5: 115
c0: -7
skew: 0.57
# Murphy_E = 3.004e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1266160 hash collisions in 11918476 relations (11357763 unique)
Msieve: matrix is 605460 x 605685 (208.0 MB)

Sieving start time : 2022/06/03 21:35:06
Sieving end time  : 2022/06/03 22:17:50

Total sieving time: 0hrs 42min 44secs.

Total relation processing time: 0hrs 5min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 13sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

23110723011734761005281081556113709660710269687869187520024687879135179060173711046147873539168686393135785686508347763970226073714645391779105860595998215530643<161>

86917308812456823267944744679421097347<38>
265893218824816814510430169466181915009249597571200613725713755431345923194041885372010003683577290695968179761706187957169<123>

Number: n
N=23110723011734761005281081556113709660710269687869187520024687879135179060173711046147873539168686393135785686508347763970226073714645391779105860595998215530643  ( 161 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sat Jun  4 18:02:13 2022  p38 factor: 86917308812456823267944744679421097347
Sat Jun  4 18:02:13 2022  p123 factor: 265893218824816814510430169466181915009249597571200613725713755431345923194041885372010003683577290695968179761706187957169
Sat Jun  4 18:02:13 2022  elapsed time 00:12:31 (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 = 23x10^167-14 = 25(166)4
#
n: 23110723011734761005281081556113709660710269687869187520024687879135179060173711046147873539168686393135785686508347763970226073714645391779105860595998215530643
m: 1000000000000000000000000000000000
deg: 5
c5: 1150
c0: -7
skew: 0.36
# Murphy_E = 2.253e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1315189 hash collisions in 12132459 relations (11532163 unique)
Msieve: matrix is 719712 x 719937 (249.0 MB)

Sieving start time : 2022/06/04 17:05:29
Sieving end time  : 2022/06/04 17:49:26

Total sieving time: 0hrs 43min 57secs.

Total relation processing time: 0hrs 7min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 47sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

121813349613246617319273359056556857499782737262607752685718809241392099094746705191863002708178921572448211331180524041954381445989167903748622306081<150>

82609404223432244059836936210448065341377799<44>
1474570005174957224479035128369892594430105286132524293539343583081249313978027829911653350070338807252119<106>

Number: n
N=121813349613246617319273359056556857499782737262607752685718809241392099094746705191863002708178921572448211331180524041954381445989167903748622306081  ( 150 digits)
SNFS difficulty: 169 digits.
Divisors found:

Mon Jun  6 06:32:06 2022  p44 factor: 82609404223432244059836936210448065341377799
Mon Jun  6 06:32:06 2022  p106 factor: 1474570005174957224479035128369892594430105286132524293539343583081249313978027829911653350070338807252119
Mon Jun  6 06:32:06 2022  elapsed time 00:10:36 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 23x10^168-14 = 25(167)4
#
n: 121813349613246617319273359056556857499782737262607752685718809241392099094746705191863002708178921572448211331180524041954381445989167903748622306081
m: 1000000000000000000000000000000000
deg: 5
c5: 11500
c0: -7
skew: 0.23
# Murphy_E = 2.395e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1305460 hash collisions in 12513189 relations (11958917 unique)
Msieve: matrix is 672530 x 672755 (234.9 MB)

Sieving start time : 2022/06/06 05:26:08
Sieving end time  : 2022/06/06 06:21:15

Total sieving time: 0hrs 55min 7secs.

Total relation processing time: 0hrs 6min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 54sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251<168>

24249911645776261084968991896492046117781911<44>
601750117578817867894791684209496722613116903314882609<54>
32431364576286444530936151737616407664233097132626905962525057757350949<71>

Number: n
N=473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251  ( 168 digits)
SNFS difficulty: 170 digits.
Divisors found:

Fri Jun  3 11:16:16 2022  found factor: 601750117578817867894791684209496722613116903314882609
Fri Jun  3 11:17:11 2022  found factor: 601750117578817867894791684209496722613116903314882609
Fri Jun  3 11:18:58 2022  p44 factor: 24249911645776261084968991896492046117781911
Fri Jun  3 11:18:58 2022  p54 factor: 601750117578817867894791684209496722613116903314882609
Fri Jun  3 11:18:58 2022  p71 factor: 32431364576286444530936151737616407664233097132626905962525057757350949
Fri Jun  3 11:18:58 2022  elapsed time 00:15:39 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 23x10^169-14 = 25(168)4
#
n: 473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251
m: 5000000000000000000000000000000000
deg: 5
c5: 184
c0: -35
skew: 0.72
# Murphy_E = 1.896e-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, 15250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1409668 hash collisions in 12519208 relations (11837817 unique)
Msieve: matrix is 783273 x 783499 (271.6 MB)

Sieving start time : 2022/06/03 09:26:54
Sieving end time  : 2022/06/03 11:02:27

Total sieving time: 1hrs 35min 33secs.

Total relation processing time: 0hrs 8min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 37sec.

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

8783993235972465546631265923903186857190659639222686335190038330336519179695696492133990407226845320453344411390550664567<121>

1022795174149904316745815799543756761976232157049310728566889<61>
8588223192657588563157769984786263535422685932350198124475103<61>

8783993235972465546631265923903186857190659639222686335190038330336519179695696492133990407226845320453344411390550664567=8588223192657588563157769984786263535422685932350198124475103*1022795174149904316745815799543756761976232157049310728566889

cado polynomial
n: 8783993235972465546631265923903186857190659639222686335190038330336519179695696492133990407226845320453344411390550664567
skew: 7208.231
c0: 151480021614478179421546440
c1: 75592757103430841272506
c2: -5824870635898497107
c3: -5343320562822371
c4: 68141381772
c5: 211680
Y0: 74296552582737189399263
Y1: 3731780382748018261
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.376e-06
# f(x) = 211680*x^5+68141381772*x^4-5343320562822371*x^3-5824870635898497107*x^2+75592757103430841272506*x+151480021614478179421546440
# g(x) = 3731780382748018261*x+74296552582737189399263

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

cado log (extracts)
Info:Square Root: Factors: 8588223192657588563157769984786263535422685932350198124475103 1022795174149904316745815799543756761976232157049310728566889
Info:Square Root: Total cpu/real time for sqrt: 262.06/78.3134
Info:Filtering - Singleton removal: Total cpu/real time for purge: 85.26/138.716
Info:Linear Algebra: Total cpu/real time for bwc: 6140.58/2507.33
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3725.65, WCT time 1837.87, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (25088 iterations)
Info:Linear Algebra: Lingen CPU time 144.74, WCT time 36.81
Info:Linear Algebra: Mksol: CPU time 2192.95,  WCT time 566.94, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13755553
Info:Lattice Sieving: Average J: 1897.96 for 302271 special-q, max bucket fill -bkmult 1.0,1s:1.259860
Info:Lattice Sieving: Total time: 68111.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.15/1.37813
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1717.14
Info:Polynomial Selection (root optimized): Rootsieve time: 1714.68
Info:Generate Free Relations: Total cpu/real time for freerel: 126.45/33.1485
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 58.42/102.366
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.80000000000001s
Info:Filtering - Merging: Merged matrix has 796467 rows and total weight 80650879 (101.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 62.97/49.7367
Info:Filtering - Merging: Total cpu/real time for replay: 22.62/25.3399
Info:Quadratic Characters: Total cpu/real time for characters: 25.86/9.91015
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20095/35.660/43.266/48.300/1.042
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16203/34.450/38.321/43.730/0.872
Info:Polynomial Selection (size optimized): Total time: 2247.58
Info:Square Root: Total cpu/real time for sqrt: 262.06/78.3134
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 182.54/292.877
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 263.90000000000003s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 78489.7/38276
Info:root: Cleaning up computation data in /tmp/cado.fbmcu59w
8588223192657588563157769984786263535422685932350198124475103 1022795174149904316745815799543756761976232157049310728566889

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)

622274937982948509700114136980782673296701127550549654999664686264319164394174337271805095442486253803087028979030478257184523472509113590685099178450677<153>

3879872575163600310132960327693368187677<40>
33601529957134497564363468309732329886467<41>
4773157833876102419406758963189467780466570644623104307047366558849958803<73>

Number: n
N=622274937982948509700114136980782673296701127550549654999664686264319164394174337271805095442486253803087028979030478257184523472509113590685099178450677  ( 153 digits)
SNFS difficulty: 172 digits.
Divisors found:

Mon Jun  6 03:52:37 2022  found factor: 33601529957134497564363468309732329886467
Mon Jun  6 03:54:29 2022  p40 factor: 3879872575163600310132960327693368187677
Mon Jun  6 03:54:29 2022  p41 factor: 33601529957134497564363468309732329886467
Mon Jun  6 03:54:29 2022  p73 factor: 4773157833876102419406758963189467780466570644623104307047366558849958803
Mon Jun  6 03:54:29 2022  elapsed time 00:16:10 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 23x10^171-14 = 25(170)4
#
n: 622274937982948509700114136980782673296701127550549654999664686264319164394174337271805095442486253803087028979030478257184523472509113590685099178450677
m: 10000000000000000000000000000000000
deg: 5
c5: 115
c0: -7
skew: 0.57
# Murphy_E = 1.905e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1294952 hash collisions in 12046500 relations (11463503 unique)
Msieve: matrix is 824581 x 824807 (286.5 MB)

Sieving start time : 2022/06/06 02:25:58
Sieving end time  : 2022/06/06 03:38:02

Total sieving time: 1hrs 12min 4secs.

Total relation processing time: 0hrs 10min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 49sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

2566796452523439482690370214626240290961895258653143983743233524712972603397810495400652745620177878934055679477904789132523768938313553929967687833541272989<157>

40997898565469070353720548724276814470383<41>
2086819741573021283450898431701798066715616983748707<52>
30001633212256217857185162124431941065400707411714572473651805169<65>

Number: n
N=2566796452523439482690370214626240290961895258653143983743233524712972603397810495400652745620177878934055679477904789132523768938313553929967687833541272989  ( 157 digits)
SNFS difficulty: 174 digits.
Divisors found:

Sun Jun  5 19:09:48 2022  found factor: 40997898565469070353720548724276814470383
Sun Jun  5 19:12:02 2022  p41 factor: 40997898565469070353720548724276814470383
Sun Jun  5 19:12:02 2022  p52 factor: 2086819741573021283450898431701798066715616983748707
Sun Jun  5 19:12:02 2022  p65 factor: 30001633212256217857185162124431941065400707411714572473651805169
Sun Jun  5 19:12:02 2022  elapsed time 00:17:39 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 23x10^173-14 = 25(172)4
#
n: 2566796452523439482690370214626240290961895258653143983743233524712972603397810495400652745620177878934055679477904789132523768938313553929967687833541272989
m: 10000000000000000000000000000000000
deg: 5
c5: 11500
c0: -7
skew: 0.23
# Murphy_E = 1.518e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1463084 hash collisions in 12485444 relations (11732997 unique)
Msieve: matrix is 809958 x 810183 (283.7 MB)

Sieving start time : 2022/06/05 18:01:18
Sieving end time  : 2022/06/05 18:54:07

Total sieving time: 0hrs 52min 49secs.

Total relation processing time: 0hrs 9min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 29sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

75163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281<173>

12679524641771456323919269632912632500435899696013795337<56>
5927935061949560552537129881302410031341706743561210036301408807787045325326614669632578682235821345717839135761762713<118>

Number: n
N=75163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281  ( 173 digits)
SNFS difficulty: 175 digits.
Divisors found:

Sat Jun  4 05:43:47 2022  p56 factor: 12679524641771456323919269632912632500435899696013795337
Sat Jun  4 05:43:47 2022  p118 factor: 5927935061949560552537129881302410031341706743561210036301408807787045325326614669632578682235821345717839135761762713
Sat Jun  4 05:43:47 2022  elapsed time 00:22:01 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 23x10^174-14 = 25(173)4
#
n: 75163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281
m: 50000000000000000000000000000000000
deg: 5
c5: 184
c0: -35
skew: 0.72
# Murphy_E = 1.199e-10
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1474953 hash collisions in 11772086 relations (10939318 unique)
Msieve: matrix is 1025243 x 1025471 (355.9 MB)

Sieving start time : 2022/06/04 04:11:17
Sieving end time  : 2022/06/04 05:21:30

Total sieving time: 1hrs 10min 13secs.

Total relation processing time: 0hrs 17min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 19sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5900000,5900000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

109314550241917852491896464862501307021796370756931968327297269037366564956606876360490869858651533730667959430043440651704831703120692769080141823746922557770363399587456393<174>

4917742691468482873593580687415456803467494970001<49>
22228603060416633875117362898808438130202871614877945408520180236039063236045604486323441935345334526127611487760231444246393<125>

Number: n
N=109314550241917852491896464862501307021796370756931968327297269037366564956606876360490869858651533730667959430043440651704831703120692769080141823746922557770363399587456393  ( 174 digits)
SNFS difficulty: 178 digits.
Divisors found:

Sun Jun  5 07:04:07 2022  p49 factor: 4917742691468482873593580687415456803467494970001
Sun Jun  5 07:04:07 2022  p125 factor: 22228603060416633875117362898808438130202871614877945408520180236039063236045604486323441935345334526127611487760231444246393
Sun Jun  5 07:04:07 2022  elapsed time 00:26:31 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 23x10^177-14 = 25(176)4
#
n: 109314550241917852491896464862501307021796370756931968327297269037366564956606876360490869858651533730667959430043440651704831703120692769080141823746922557770363399587456393
m: 100000000000000000000000000000000000
deg: 5
c5: 1150
c0: -7
skew: 0.36
# Murphy_E = 9.01e-11
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4337138 hash collisions in 28990160 relations (26042050 unique)
Msieve: matrix is 1073385 x 1073613 (365.9 MB)

Sieving start time : 2022/06/05 03:51:54
Sieving end time  : 2022/06/05 06:36:41

Total sieving time: 2hrs 44min 47secs.

Total relation processing time: 0hrs 18min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 8sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

15668776276402300197836897378640862114522245897593395989918264209361273511274965093835823008319872378182771716277359950251482754866842400218550563300404465593944427923<167>

2781922461521724855958526261913701733928503491883445087728303526122919987<73>
5632355499883848249339392163180611348219171885698607919944790638374658685907344797265834480929<94>

Number: n
N=15668776276402300197836897378640862114522245897593395989918264209361273511274965093835823008319872378182771716277359950251482754866842400218550563300404465593944427923  ( 167 digits)
SNFS difficulty: 179 digits.
Divisors found:

Sat Jun 18 06:14:42 2022  p73 factor: 2781922461521724855958526261913701733928503491883445087728303526122919987
Sat Jun 18 06:14:42 2022  p94 factor: 5632355499883848249339392163180611348219171885698607919944790638374658685907344797265834480929
Sat Jun 18 06:14:42 2022  elapsed time 00:23:35 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 23x10^178-14 = 25(177)4
#
n: 15668776276402300197836897378640862114522245897593395989918264209361273511274965093835823008319872378182771716277359950251482754866842400218550563300404465593944427923
m: 100000000000000000000000000000000000
deg: 5
c5: 11500
c0: -7
skew: 0.23
# Murphy_E = 9.571e-11
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4054272 hash collisions in 29690224 relations (27187272 unique)
Msieve: matrix is 990626 x 990852 (339.6 MB)

Sieving start time : 2022/06/18 04:46:07
Sieving end time  : 2022/06/18 05:50:36

Total sieving time: 1hrs 4min 29secs.

Total relation processing time: 0hrs 15min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 9sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] 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)

3222366816826438478487270377538128396169724436387518661461776493572133355089633257304810657130343871904676045698731954104854981206218034804178743992418953348526260483630689<172>

7353200157373741291307017056666551537<37>
70564510582503870118075209144821389609024999<44>
6210295352727221666218592719424726263446288623100908119985896636801946044171960815866928103<91>

Number: n
N=3222366816826438478487270377538128396169724436387518661461776493572133355089633257304810657130343871904676045698731954104854981206218034804178743992418953348526260483630689  ( 172 digits)
SNFS difficulty: 180 digits.
Divisors found:

Mon Jun  6 14:59:45 2022  found factor: 518874970320268490510890903196090295209599886414494574198202708057754386154873463
Mon Jun  6 15:00:45 2022  p37 factor: 7353200157373741291307017056666551537
Mon Jun  6 15:00:45 2022  p44 factor: 70564510582503870118075209144821389609024999
Mon Jun  6 15:00:45 2022  p91 factor: 6210295352727221666218592719424726263446288623100908119985896636801946044171960815866928103
Mon Jun  6 15:00:45 2022  elapsed time 00:23:21 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 23x10^179-14 = 25(178)4
#
n: 3222366816826438478487270377538128396169724436387518661461776493572133355089633257304810657130343871904676045698731954104854981206218034804178743992418953348526260483630689
m: 500000000000000000000000000000000000
deg: 5
c5: 184
c0: -35
skew: 0.72
# Murphy_E = 7.547e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3044062 hash collisions in 28597873 relations (27286001 unique)
Msieve: matrix is 963788 x 964015 (327.7 MB)

Sieving start time : 2022/06/06 08:26:05
Sieving end time  : 2022/06/06 14:36:18

Total sieving time: 6hrs 10min 13secs.

Total relation processing time: 0hrs 14min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 0sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

1653668116286517126177897014438823410821345317969462357984060652520183019359276941525001233061225839729074519605817288079195460264008833751279975071312640049512261373893354511789<178>

7032514017693177730742379981570458218071866405333<49>
913329154954390196294952811403752038819161718869938825129543<60>
257460391469149193554495938771311776101525695667463251659239300557631<69>

Number: n
N=1653668116286517126177897014438823410821345317969462357984060652520183019359276941525001233061225839729074519605817288079195460264008833751279975071312640049512261373893354511789  ( 178 digits)
SNFS difficulty: 184 digits.
Divisors found:

Sun Jun 12 00:23:14 2022  found factor: 913329154954390196294952811403752038819161718869938825129543
Sun Jun 12 00:24:34 2022  p49 factor: 7032514017693177730742379981570458218071866405333
Sun Jun 12 00:24:34 2022  p60 factor: 913329154954390196294952811403752038819161718869938825129543
Sun Jun 12 00:24:34 2022  p69 factor: 257460391469149193554495938771311776101525695667463251659239300557631
Sun Jun 12 00:24:34 2022  elapsed time 00:23:44 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 23x10^183-14 = 25(182)4
#
n: 1653668116286517126177897014438823410821345317969462357984060652520183019359276941525001233061225839729074519605817288079195460264008833751279975071312640049512261373893354511789
m: 1000000000000000000000000000000000000
deg: 5
c5: 11500
c0: -7
skew: 0.23
# Murphy_E = 6.009e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 9700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3164648 hash collisions in 29352564 relations (27972074 unique)
Msieve: matrix is 941939 x 942165 (327.4 MB)

Sieving start time : 2022/06/11 21:04:03
Sieving end time  : 2022/06/12 00:00:21

Total sieving time: 2hrs 56min 18secs.

Total relation processing time: 0hrs 13min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 40sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,54,54,2.5,2.5,100000
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)

4447437292720914202448439462781102553656621230943773617491153173610456008855509240345405756780221951276894436407460861679413696428045398394627649<145>

6720294774576617650408757916170976450375682890737<49>
661791996021648507622906011824465130481530458611419521629989044455913568388063075501588227325777<96>

4447437292720914202448439462781102553656621230943773617491153173610456008855509240345405756780221951276894436407460861679413696428045398394627649=6720294774576617650408757916170976450375682890737*661791996021648507622906011824465130481530458611419521629989044455913568388063075501588227325777

cado polynomial
n: 4447437292720914202448439462781102553656621230943773617491153173610456008855509240345405756780221951276894436407460861679413696428045398394627649
skew: 0.57
type: snfs
c0: -7
c5: 115
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 115*x^5-7
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9200000
tasks.lim1 = 9200000
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: 661791996021648507622906011824465130481530458611419521629989044455913568388063075501588227325777 6720294774576617650408757916170976450375682890737
Info:Square Root: Total cpu/real time for sqrt: 860.63/263.669
Info:Square Root: Total cpu/real time for sqrt: 860.63/263.669
Info:Generate Free Relations: Total cpu/real time for freerel: 119.11/32.7903
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 100.17/118.359
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 117.50000000000001s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 396.3/393.631
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 315.7s
Info:Linear Algebra: Total cpu/real time for bwc: 54421.4/13959.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 34867.24, WCT time 8900.37, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (56576 iterations)
Info:Linear Algebra: Lingen CPU time 351.96, WCT time 89.41
Info:Linear Algebra: Mksol: CPU time 18865.11,  WCT time 4837.21, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28416 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.88/2.12646
Info:Filtering - Merging: Merged matrix has 1806633 rows and total weight 308781466 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 477.8/132.849
Info:Filtering - Merging: Total cpu/real time for replay: 69.69/59.1777
Info:Filtering - Singleton removal: Total cpu/real time for purge: 282.96/313.007
Info:Quadratic Characters: Total cpu/real time for characters: 64.73/27.4109
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24362148
Info:Lattice Sieving: Average J: 1894.52 for 1669879 special-q, max bucket fill -bkmult 1.0,1s:1.160420
Info:Lattice Sieving: Total time: 300094s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 624724/100167
661791996021648507622906011824465130481530458611419521629989044455913568388063075501588227325777 6720294774576617650408757916170976450375682890737

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)

8225915048388925085869596007917334685439754402785954337550884800375201333000297160892917236531648353507078971790712001496413148084536691639450987866330004266987068688519639<172>

56529458538594055147492410685304705988699724375270231470669703<62>
145515546425637352643331191213154600112657548077742598113859028260197812367880674496089562540789434745057054513<111>

Number: n
N=8225915048388925085869596007917334685439754402785954337550884800375201333000297160892917236531648353507078971790712001496413148084536691639450987866330004266987068688519639  ( 172 digits)
SNFS difficulty: 189 digits.
Divisors found:

Tue Jun 21 15:00:05 2022  p62 factor: 56529458538594055147492410685304705988699724375270231470669703
Tue Jun 21 15:00:05 2022  p111 factor: 145515546425637352643331191213154600112657548077742598113859028260197812367880674496089562540789434745057054513
Tue Jun 21 15:00:05 2022  elapsed time 00:37:03 (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 = 23x10^188-14 = 25(187)4
#
n: 8225915048388925085869596007917334685439754402785954337550884800375201333000297160892917236531648353507078971790712001496413148084536691639450987866330004266987068688519639
m: 10000000000000000000000000000000000000
deg: 5
c5: 11500
c0: -7
skew: 0.23
# Murphy_E = 3.757e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 32150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3080877 hash collisions in 28876428 relations (27549906 unique)
Msieve: matrix is 1237236 x 1237462 (431.1 MB)

Sieving start time : 2022/06/21 03:41:49
Sieving end time  : 2022/06/21 14:21:47

Total sieving time: 10hrs 39min 58secs.

Total relation processing time: 0hrs 26min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 9sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
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)

1293713406534102128321890569107107841269832162215735980910221045025729715402668346602667868394544821931246587899981528823210077776327452011334163377689691350376872581329<169>

39860755748375757976273376972489092888083609817123295762597<59>
32455817313168183739625469309874487247306210018087307386084789301179695407869103245729188851319125233291008957<110>

Number: n
N=1293713406534102128321890569107107841269832162215735980910221045025729715402668346602667868394544821931246587899981528823210077776327452011334163377689691350376872581329  ( 169 digits)
SNFS difficulty: 191 digits.
Divisors found:

Fri Jun 24 16:58:15 2022  p59 factor: 39860755748375757976273376972489092888083609817123295762597
Fri Jun 24 16:58:15 2022  p110 factor: 32455817313168183739625469309874487247306210018087307386084789301179695407869103245729188851319125233291008957
Fri Jun 24 16:58:15 2022  elapsed time 00:33:28 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 23x10^190-14 = 25(189)4
#
n: 1293713406534102128321890569107107841269832162215735980910221045025729715402668346602667868394544821931246587899981528823210077776327452011334163377689691350376872581329
m: 100000000000000000000000000000000000000
deg: 5
c5: 23
c0: -14
skew: 0.91
# Murphy_E = 3.775e-11
type: snfs
lss: 1
rlim: 10800000
alim: 10800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3256739 hash collisions in 28939670 relations (27394126 unique)
Msieve: matrix is 1202613 x 1202838 (416.8 MB)

Sieving start time : 2022/06/24 12:01:31
Sieving end time  : 2022/06/24 16:23:59

Total sieving time: 4hrs 22min 28secs.

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

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10800000,10800000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

74705888153434441595058165031848355647178410723520242331119590564929624318537887273294642484092393293242557555218592196557988910702755893782992476090865597985814061343<167>

165824427646343924165211967364681821293683548789775175199643247779<66>
450511961438882418422493623713257274152701715921996840019417321800526007379477999576381457429167512917<102>

Number: n
N=74705888153434441595058165031848355647178410723520242331119590564929624318537887273294642484092393293242557555218592196557988910702755893782992476090865597985814061343  ( 167 digits)
SNFS difficulty: 192 digits.
Divisors found:

Fri Jul 15 01:24:16 2022  p66 factor: 165824427646343924165211967364681821293683548789775175199643247779
Fri Jul 15 01:24:16 2022  p102 factor: 450511961438882418422493623713257274152701715921996840019417321800526007379477999576381457429167512917
Fri Jul 15 01:24:16 2022  elapsed time 00:50:53 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 23x10^191-14 = 25(190)4
#
n: 74705888153434441595058165031848355647178410723520242331119590564929624318537887273294642484092393293242557555218592196557988910702755893782992476090865597985814061343
m: 100000000000000000000000000000000000000
deg: 5
c5: 115
c0: -7
skew: 0.57
# Murphy_E = 2.946e-11
type: snfs
lss: 1
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3211127 hash collisions in 28071372 relations (26487374 unique)
Msieve: matrix is 1436744 x 1436969 (501.5 MB)

Sieving start time : 2022/07/14 19:39:02
Sieving end time  : 2022/07/15 00:32:47

Total sieving time: 4hrs 53min 45secs.

Total relation processing time: 0hrs 37min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 43sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118884] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120)
[    0.152037] smpboot: Total of 16 processors activated (102384.96 BogoMIPS)

73757707519387578533949989735495672514953512328263607688843391601461041487411089390319900368473075033293764243066685928223555676721906303288766031157607255061862650559264608891<176>

158684962051156385106232488947391487503764410559474808660461<60>
464805905777069087481440308606883938678611774598932968158885571764752467888226414402717447310199290699505869729978631<117>

Number: n
N=73757707519387578533949989735495672514953512328263607688843391601461041487411089390319900368473075033293764243066685928223555676721906303288766031157607255061862650559264608891  ( 176 digits)
SNFS difficulty: 193 digits.
Divisors found:

Tue Jun 28 08:12:20 2022  p60 factor: 158684962051156385106232488947391487503764410559474808660461
Tue Jun 28 08:12:20 2022  p117 factor: 464805905777069087481440308606883938678611774598932968158885571764752467888226414402717447310199290699505869729978631
Tue Jun 28 08:12:20 2022  elapsed time 01:02:37 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 23x10^192-14 = 25(191)4
#
n: 73757707519387578533949989735495672514953512328263607688843391601461041487411089390319900368473075033293764243066685928223555676721906303288766031157607255061862650559264608891
m: 100000000000000000000000000000000000000
deg: 5
c5: 1150
c0: -7
skew: 0.36
# Murphy_E = 2.204e-11
type: snfs
lss: 1
rlim: 11600000
alim: 11600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 25800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3643097 hash collisions in 28733416 relations (26662934 unique)
Msieve: matrix is 1630764 x 1630989 (565.7 MB)

Sieving start time : 2022/06/28 00:13:21
Sieving end time  : 2022/06/28 07:08:53

Total sieving time: 6hrs 55min 32secs.

Total relation processing time: 0hrs 52min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 15sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11600000,11600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

103883385721025590989344359305793674212015979493373668101319440844458783460035063310680711842502689494370770710414109740419120821942654331<138>

3175375818386920244543068956471839584123122087953053<52>
32715304160059386552723725603260611583608575846855344338957566882311477701207120302327<86>

103883385721025590989344359305793674212015979493373668101319440844458783460035063310680711842502689494370770710414109740419120821942654331=3175375818386920244543068956471839584123122087953053*32715304160059386552723725603260611583608575846855344338957566882311477701207120302327

cado polynomial
n: 103883385721025590989344359305793674212015979493373668101319440844458783460035063310680711842502689494370770710414109740419120821942654331
skew: 0.23
type: snfs
c0: -7
c5: 11500
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 11500*x^5-7
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12000000
tasks.lim1 = 12000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3175375818386920244543068956471839584123122087953053 32715304160059386552723725603260611583608575846855344338957566882311477701207120302327
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 804.29/255.294
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 117.76/47.8996
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.3s
Info:Quadratic Characters: Total cpu/real time for characters: 83.08/35.4005
Info:Filtering - Singleton removal: Total cpu/real time for purge: 112.81/48.6965
Info:Filtering - Merging: Merged matrix has 2398252 rows and total weight 410023273 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 712.8/193.561
Info:Filtering - Merging: Total cpu/real time for replay: 112.47/586.823
Info:Generate Free Relations: Total cpu/real time for freerel: 127.47/34.1167
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28363054
Warning:Lattice Sieving: some stats could not be displayed for sieving (see log file for debug info)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 272.12/99.8255
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 87.5s
Info:Linear Algebra: Total cpu/real time for bwc: 114270/29905.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 73466.74, WCT time 18920.55, iteration CPU time 0.23, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (75264 iterations)
Info:Linear Algebra: Lingen CPU time 405.16, WCT time 399.6
Info:Linear Algebra: Mksol: CPU time 39306.24,  WCT time 10139.68, iteration CPU time 0.25, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (37888 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.05/2.31615
Info:Square Root: Total cpu/real time for sqrt: 804.29/255.294
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 116617/31388.9
Info:root: Cleaning up computation data in /tmp/cado.abmn1zcl
3175375818386920244543068956471839584123122087953053 32715304160059386552723725603260611583608575846855344338957566882311477701207120302327

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)

65289345346572877102742720237993857124203044186693463684930651360573183678799130232373296090019813896979090377485962790750486831422910315148831320718296345499860905307739909957476765509058187<191>

2674978959941865768111382919182017568386879335978319534649<58>
2987657111346971264249605229855313683676827569799264626740260587733<67>
8169419371368547743527743072426574837604871650033684077079341085911<67>

Number: n
N=65289345346572877102742720237993857124203044186693463684930651360573183678799130232373296090019813896979090377485962790750486831422910315148831320718296345499860905307739909957476765509058187  ( 191 digits)
SNFS difficulty: 196 digits.
Divisors found:

Fri Jul 22 21:04:29 2022  found factor: 2674978959941865768111382919182017568386879335978319534649
Fri Jul 22 21:06:26 2022  p58 factor: 2674978959941865768111382919182017568386879335978319534649
Fri Jul 22 21:06:26 2022  p67 factor: 2987657111346971264249605229855313683676827569799264626740260587733
Fri Jul 22 21:06:26 2022  p67 factor: 8169419371368547743527743072426574837604871650033684077079341085911
Fri Jul 22 21:06:26 2022  elapsed time 00:58:54 (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 = 23x10^195-14 = 25(194)4
#
n: 65289345346572877102742720237993857124203044186693463684930651360573183678799130232373296090019813896979090377485962790750486831422910315148831320718296345499860905307739909957476765509058187
m: 1000000000000000000000000000000000000000
deg: 5
c5: 23
c0: -14
skew: 0.91
# Murphy_E = 2.343e-11
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3389159 hash collisions in 28840867 relations (27112718 unique)
Msieve: matrix is 1551583 x 1551808 (540.8 MB)

Sieving start time : 2022/07/22 14:09:57
Sieving end time  : 2022/07/22 20:07:01

Total sieving time: 5hrs 57min 4secs.

Total relation processing time: 0hrs 46min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 54sec.

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

473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251<195>

11316476338910627426105720235466070877103868651<47>
41819645500371499649863955022739572824548437596555247622871165642400747330487384537746805500458288541299946960129503121668616418593046367242414314601<149>

Number: n
N=473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251  ( 195 digits)
SNFS difficulty: 197 digits.
Divisors found:

Wed Jul 27 03:57:27 2022  p47 factor: 11316476338910627426105720235466070877103868651
Wed Jul 27 03:57:27 2022  p149 factor: 41819645500371499649863955022739572824548437596555247622871165642400747330487384537746805500458288541299946960129503121668616418593046367242414314601
Wed Jul 27 03:57:27 2022  elapsed time 01:17:31 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 23x10^196-14 = 25(195)4
#
n: 473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251
m: 1000000000000000000000000000000000000000
deg: 5
c5: 115
c0: -7
skew: 0.57
# Murphy_E = 1.827e-11
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3477880 hash collisions in 27736433 relations (25775012 unique)
Msieve: matrix is 1807410 x 1807635 (630.8 MB)

Sieving start time : 2022/07/26 20:32:57
Sieving end time  : 2022/07/27 02:39:26

Total sieving time: 6hrs 6min 29secs.

Total relation processing time: 1hrs 7min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 21sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13500000,13500000,28,28,55,55,2.5,2.5,100000
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)

2176641753096562042619258683935184710271465869039018676647719796455382839875799432784407678925955609958305240100722570565740693872076983019029833959168782405164413536551963<172>

15493574819400189995797809808549378789829723610961463388650697469964761396900716499<83>
140486735854600364736390675792717742809638497064860938973521301754061039236016541180208537<90>

Number: n
N=2176641753096562042619258683935184710271465869039018676647719796455382839875799432784407678925955609958305240100722570565740693872076983019029833959168782405164413536551963  ( 172 digits)
SNFS difficulty: 198 digits.
Divisors found:

Tue Aug 23 22:06:02 2022  p83 factor: 15493574819400189995797809808549378789829723610961463388650697469964761396900716499
Tue Aug 23 22:06:02 2022  p90 factor: 140486735854600364736390675792717742809638497064860938973521301754061039236016541180208537
Tue Aug 23 22:06:02 2022  elapsed time 01:11:26 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 23x10^197-14 = 25(196)4
#
n: 2176641753096562042619258683935184710271465869039018676647719796455382839875799432784407678925955609958305240100722570565740693872076983019029833959168782405164413536551963
m: 500000000000000000000000000000000
deg: 6
c6: 368
c0: -35
skew: 0.68
# Murphy_E = 1.432e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3601561 hash collisions in 28014449 relations (26409851 unique)
Msieve: matrix is 1762048 x 1762273 (618.8 MB)

Sieving start time : 2022/08/23 12:33:14
Sieving end time  : 2022/08/23 20:54:06

Total sieving time: 8hrs 20min 52secs.

Total relation processing time: 1hrs 0min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 3sec.

Prototype def-par.txt line would be:
snfs,198,6,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

125678386204884194840447354045534145235516520395970855322558674540618315182446741540952360883516501808488166566106747788276190131439914055033928606139781794303313590758037401<174>

17028320231217812059744783619763877543141624502859114572834402963<65>
7380551017268252935836199321929104357645844210835148931247689263853943505833975246172256847768572999963249827<109>

Number: n
N=125678386204884194840447354045534145235516520395970855322558674540618315182446741540952360883516501808488166566106747788276190131439914055033928606139781794303313590758037401  ( 174 digits)
SNFS difficulty: 200 digits.
Divisors found:

Sat Sep  3 04:05:54 2022  p65 factor: 17028320231217812059744783619763877543141624502859114572834402963
Sat Sep  3 04:05:54 2022  p109 factor: 7380551017268252935836199321929104357645844210835148931247689263853943505833975246172256847768572999963249827
Sat Sep  3 04:05:54 2022  elapsed time 01:19:23 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 23x10^199-14 = 25(198)4
#
n: 125678386204884194840447354045534145235516520395970855322558674540618315182446741540952360883516501808488166566106747788276190131439914055033928606139781794303313590758037401
m: 1000000000000000000000000000000000
deg: 6
c6: 115
c0: -7
skew: 0.63
# Murphy_E = 1.411e-11
type: snfs
lss: 1
rlim: 12100000
alim: 12100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 12100000/12100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3985571 hash collisions in 28689487 relations (26652027 unique)
Msieve: matrix is 1766350 x 1766575 (623.9 MB)

Sieving start time : 2022/09/02 17:49:25
Sieving end time  : 2022/09/03 02:45:39

Total sieving time: 8hrs 56min 14secs.

Total relation processing time: 1hrs 2min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 36sec.

Prototype def-par.txt line would be:
snfs,200,6,0,0,0,0,0,0,0,0,12100000,12100000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

715550344026660844891674305986189848584680086518088015071699371867420879398652327190347616695913784554946216395566755896121168856995410986699266486464394786292671626514619498109760273435727<189>

171366713277372995400358669610550102172430357569709951125920015460119953<72>
4175550375810008853400594816747306575690661443558362956084301779391678230673604660332231831999241458659521850323694559<118>

Number: n
N=715550344026660844891674305986189848584680086518088015071699371867420879398652327190347616695913784554946216395566755896121168856995410986699266486464394786292671626514619498109760273435727  ( 189 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sun Oct 30 12:05:09 2022  p72 factor: 171366713277372995400358669610550102172430357569709951125920015460119953
Sun Oct 30 12:05:09 2022  p118 factor: 4175550375810008853400594816747306575690661443558362956084301779391678230673604660332231831999241458659521850323694559
Sun Oct 30 12:05:09 2022  elapsed time 01:56:24 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 23x10^200-14 = 25(199)4
#
n: 715550344026660844891674305986189848584680086518088015071699371867420879398652327190347616695913784554946216395566755896121168856995410986699266486464394786292671626514619498109760273435727
m: 10000000000000000000000000000000000000000
deg: 5
c5: 23
c0: -14
skew: 0.91
# Murphy_E = 1.448e-11
type: snfs
lss: 1
rlim: 15900000
alim: 15900000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 27983413)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1963176 hash collisions in 13993770 relations (12745477 unique)
Msieve: matrix is 2164305 x 2164531 (754.9 MB)

Sieving start time : 2022/10/30 01:27:23
Sieving end time  : 2022/10/30 10:08:24

Total sieving time: 8hrs 41min 1secs.

Total relation processing time: 1hrs 33min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 19sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15900000,15900000,27,27,54,54,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

47824347468948912017316938237254088287845941442980440995366068316983864745076728884993039419045207737591835192507700841101762308275203394292007904013847197160635595379303766844667107<182>

186569361325570147123805951781606671806122290194192157438642351317<66>
256335483646179883167302047830988512583316992898406562986682915346942520629088516356065496840915657082417900805510871<117>

Number: n
N=47824347468948912017316938237254088287845941442980440995366068316983864745076728884993039419045207737591835192507700841101762308275203394292007904013847197160635595379303766844667107  ( 182 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sat Sep  2 14:16:44 2023  prp66 factor: 186569361325570147123805951781606671806122290194192157438642351317
Sat Sep  2 14:16:44 2023  prp117 factor: 256335483646179883167302047830988512583316992898406562986682915346942520629088516356065496840915657082417900805510871
Sat Sep  2 14:16:44 2023  elapsed time 02:36:21 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.098).
Factorization parameters were as follows:
#
# N = 23x10^203-14 = 25(202)4
#
n: 47824347468948912017316938237254088287845941442980440995366068316983864745076728884993039419045207737591835192507700841101762308275203394292007904013847197160635595379303766844667107
m: 5000000000000000000000000000000000
deg: 6
c6: 368
c0: -35
skew: 0.68
# Murphy_E = 9.097e-12
type: snfs
lss: 1
rlim: 18100000
alim: 18100000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18100000/18100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3547693 hash collisions in 19277636 relations (16748345 unique)
Msieve: matrix is 2175835 x 2176060 (617.3 MB)

Sieving start time: 2023/09/01 17:27:32
Sieving end time  : 2023/09/02 11:39:57

Total sieving time: 18hrs 12min 25secs.

Total relation processing time: 2hrs 27min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 21sec.

Prototype def-par.txt line would be:
snfs,204,6,0,0,0,0,0,0,0,0,18100000,18100000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

9090905129379527243809110236606441487510084921463007115867921598097762251064508034960715538241644106229952793021992520739162199754874686095504568230191092451352311757382248099351026703118367<190>

13883089242354514539494778716335574147799436666934026901920598893981459<71>
654818604899909677296044374692867564262343543138746252058679100136711826339348543168371165085999735383617833797402476613<120>

Number: n
N=9090905129379527243809110236606441487510084921463007115867921598097762251064508034960715538241644106229952793021992520739162199754874686095504568230191092451352311757382248099351026703118367  ( 190 digits)
SNFS difficulty: 205 digits.
Divisors found:

Mon Oct  9 02:56:54 2023  prp71 factor: 13883089242354514539494778716335574147799436666934026901920598893981459
Mon Oct  9 02:56:54 2023  prp120 factor: 654818604899909677296044374692867564262343543138746252058679100136711826339348543168371165085999735383617833797402476613
Mon Oct  9 02:56:54 2023  elapsed time 03:01:53 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.020).
Factorization parameters were as follows:
#
# N = 23x10^204-14 = 25(203)4
#
n: 9090905129379527243809110236606441487510084921463007115867921598097762251064508034960715538241644106229952793021992520739162199754874686095504568230191092451352311757382248099351026703118367
m: 10000000000000000000000000000000000
deg: 6
c6: 23
c0: -14
skew: 0.92
# Murphy_E = 8.855e-12
type: snfs
lss: 1
rlim: 18500000
alim: 18500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18500000/18500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3123189 hash collisions in 18501940 relations (16071240 unique)
Msieve: matrix is 2335945 x 2336171 (658.3 MB)

Sieving start time: 2023/10/08 04:53:52
Sieving end time  : 2023/10/08 23:54:38

Total sieving time: 19hrs 0min 46secs.

Total relation processing time: 2hrs 46min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 47sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18500000,18500000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

42809022090000185971350638251320544717614070131861110475423424374374709565994915622091673206072573149329425406018496000422564288255463489764498962402141095411171273467<167>

1176895885918387166202768094759602642512885980890300172007284603642234909860422728900653989450506204846319376604372565456266086166004016028980066617816481785689259385729613<172>

518865388716758362080843504760894033589689<42>
2268210428968964825767652547280148515211884274832133674428296942871862625393923482033638149608015460907888631891313904566368824117<130>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:420845378
Step 1 took 28038ms
********** Factor found in step 1: 518865388716758362080843504760894033589689
Found prime factor of 42 digits: 518865388716758362080843504760894033589689
Prime cofactor 2268210428968964825767652547280148515211884274832133674428296942871862625393923482033638149608015460907888631891313904566368824117 has 130 digits

129295231502747387991904484694689748405439805626635180755143040807692999988330933150656615594382337971051751270988833970438058428286639469449695861280871854188869248942286928149707<180>

1823689087133776803355016799641437137683103402536977718076795243179758808750979938998013499976573993091012537376722291558322133121794430875068224962447270381130492187042128606698419989455427401898353<199>

1820853928637894689901751094729452963260647327379702939258530323682282344731899482793263829467120894376264330579246789417234778746038973121459565722810360867<157>

1799687010954616588419405320813771517996870109546165884194053208137715179968701095461658841940532081377151799687010954616588419405320813771517996870109546165884194053208137715179968701095461658841940532081377151799687<217>

2009240836080186522213304733824994122483393890443971328287481847297795580391665461432729156594797053217644267206745548580231256640843841242514869913875598861225146630820723192462510032064138225171247<199>

133309075985734590304047018260779224473<39>
321458827794275571836987072158166020944336925847263<51>
272788330821966797635223824765837170201162192846143531<54>
171878333010767900495921069158098166501979423898792663563<57>

Number: 25554_219
N = 2009240836080186522213304733824994122483393890443971328287481847297795580391665461432729156594797053217644267206745548580231256640843841242514869913875598861225146630820723192462510032064138225171247 (199 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=133309075985734590304047018260779224473 (pp39)
r2=321458827794275571836987072158166020944336925847263 (pp51)
r3=272788330821966797635223824765837170201162192846143531 (pp54)
r4=171878333010767900495921069158098166501979423898792663563 (pp57)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 40.41 hours.
Factorization parameters were as follows:
n: 2009240836080186522213304733824994122483393890443971328287481847297795580391665461432729156594797053217644267206745548580231256640843841242514869913875598861225146630820723192462510032064138225171247
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 23
c0: -140
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31200791
Relations: 7185994 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 18.80 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 6258554 x 6258779
Matrix solve time: 20.63 hours.
time per square root: 0.65 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 40.41 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

167421208252602135559276002167269249840087733703862919978637802223905538407377824119115408963346999218748661813518314045226904989435695186599<141>

1082145777346944027430302316230886598848173007717<49>
154712250195220827797715013777261639659226819774242436561937084432530272743267129852602366747<93>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:834170114
Step 1 took 21578ms
Step 2 took 10657ms
********** Factor found in step 2: 1082145777346944027430302316230886598848173007717
Found prime factor of 49 digits: 1082145777346944027430302316230886598848173007717
Prime cofactor 154712250195220827797715013777261639659226819774242436561937084432530272743267129852602366747 has 93 digits
 

GMP-ECM

12333975246246783048532432658120112302133692525388983757674775787092567463045823945915057516914838375700398550116183035335334440763338362530613439380928199853614010262579924191185536993810748169154462237125437<209>

669755723955266435413855841980081268021768498419910446623688372235812602015184551937883564057425826456684270584398703627621562475488387683774158753358685365208970875497276047564907<180>

821580084386214651180483586708712191741557679740898699499490354748636965554517654996358996372552091108254746387709345950356705534861338127618970805343782028278842742719337<171>

2096116662311051256948208482187150611119051691288817325293720937581449819661266085131050153213142514077679996374511647054062184506210617188733986089366105255907437831691819442486404788220574685251<196>

631761256679734615064359093735621978191329873223013<51>
3317893650723912220170888272141416919323077563050137642579972675945011627047428769385269739148782550299579002260968316355065208749970640928520327<145>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3230836262
Step 1 took 55360ms
Step 2 took 22333ms
********** Factor found in step 2: 631761256679734615064359093735621978191329873223013
Found prime factor of 51 digits: 631761256679734615064359093735621978191329873223013
Prime cofactor 3317893650723912220170888272141416919323077563050137642579972675945011627047428769385269739148782550299579002260968316355065208749970640928520327 has 145 digits

5304884379158203766478899411466690157543101512730084220455563136141220758431315420202618759715189234520086691975203048244195176307168133367466551119669848367455968119591460345083698178154273<190>

13822965268266886819811487985354410429003507332412725002121146934205162196171173160844697349166290335425614298500342331633683764265661429768754718881273365197875851577057258856156389769<185>

3234796396706811801605306353725037829534424254542652781874603357291438587187535516733787642414622507984532615416717633878992505637831020611788240796915001262308840989222087027151559810997502340059<196>

94104690340361137962889858272961549667<38>
34374443877420848702066329198291136089960103335635248897926554598442515922973152063719605908672666711046313783687253418739214682477002226071728238877521147177<158>

Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sat Aug 27 17:53:11 2022 
Input number is 3234796396706811801605306353725037829534424254542652781874603357291438587187535516733787642414622507984532615416717633878992505637831020611788240796915001262308840989222087027151559810997502340059 (196 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2831672306
Step 1 took 0ms
Step 2 took 4954ms
********** Factor found in step 2: 94104690340361137962889858272961549667
Found prime factor of 38 digits: 94104690340361137962889858272961549667
Prime cofactor 34374443877420848702066329198291136089960103335635248897926554598442515922973152063719605908672666711046313783687253418739214682477002226071728238877521147177 has 158 digits

34902287742600401462971723867647904489135120242305003621313891244143597840633624079203235017125335370421539951792159966686741671356522200551240924258954063432408464566923359626651279820606990384950687829563719771702467<218>

259946506813874149332154523769082356126735903979161882364339414884334550409529056491491255069881985866059988301499996638169650594152515977659905876374549911183699817241382487252064694809046560503393585663<204>

340741155596688642805842195568805815932359440269520805912852467967456407440783497755874722327793827095368951571573217102348182869007054375349<141>

2511501810896237213564568053764632940102051845271443568528180700531<67>
135672271514347068786642944464397530221171882591891083520059528878935591479<75>

Number: 25554_231
N = 340741155596688642805842195568805815932359440269520805912852467967456407440783497755874722327793827095368951571573217102348182869007054375349 (141 digits)
Divisors found:
r1=2511501810896237213564568053764632940102051845271443568528180700531 (pp67)
r2=135672271514347068786642944464397530221171882591891083520059528878935591479 (pp75)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 47.32 hours.
Factorization parameters were as follows:
n: 340741155596688642805842195568805815932359440269520805912852467967456407440783497755874722327793827095368951571573217102348182869007054375349
# norm 1.429200e-13 alpha -7.758092 e 1.780e-11 rroots 5
skew: 17076952.44
c0: 26865521563354253931431290912607606400
c1: 3285576838738973004203420711136
c2: -3553332369404112380800144
c3: 180993874283306024
c4: 11899886489
c5: 60
Y0: -5634483867462618793993017973
Y1: 172875501168041
type: gnfs
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23473687
Relations: 3733916 relations
Pruned matrix : 2246162 x 2246392
Polynomial selection time: 0.76 hours.
Total sieving time: 44.09 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.18 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,12900000,12900000,28,28,56,56,2.5,2.5,100000
total time: 47.32 hours.
Intel64 Family 6 Model 94 Stepping 3, GenuineIntel
processors: 8, speed: 2.81GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

33477024735973416039358538087724793421017308823315332205033298621731921256062882704558115102153555283062882997589027259868180282571091202879238536723299405690463838293677<170>

8766424730033892547668545001933760185897344408426844881708498537253498665184497741648346643087744778336889010658833009248933596534806536927802249006305537120766130980953579609953<178>

56344065572479422685148290104871186276876819925982055662849591535641787708665541021055074283293248677403151657955729256770108341651440059300567462638126514674832936039812509033722310628105219979826172171<203>

2993154785143541292522318523724005101376851201166028994560266520913042346633351552536373337497722599619999479451341714166731735248952395825199760547617188516696598214518102079591889851903906717680435178678326956612269331875797090133<232>

12734356044131549459503091343790861056854526184828751277108853411671484306946362889044499940770721869048993983905259<116>

7705398111867148210753835651218861749366427<43>
1652653874498614288306721846741349424066286394798433485787593146773388017<73>

Info:Complete Factorization / Discrete logarithm: Linear Algebra
Info:Linear Algebra: Total cpu/real time for bwc: 9160.96/216.42
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2957.93, WCT time 117.01, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12672 iterations)
Info:Linear Algebra: Lingen CPU time 4791.78, WCT time 43.58
Info:Linear Algebra: Mksol: CPU time 1350.52,  WCT time 49.7, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations)
Info:Quadratic Characters: Starting
Info:Complete Factorization / Discrete logarithm: Quadratic Characters
Info:Quadratic Characters: Total cpu/real time for characters: 25.59/4.0056
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 7705398111867148210753835651218861749366427 1652653874498614288306721846741349424066286394798433485787593146773388017
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 642.62/34.0679
Info:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 155.36
Info:Polynomial Selection (root optimized): Rootsieve time: 154.74
Info:Generate Free Relations: Total cpu/real time for freerel: 84.41/3.26597
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 23189.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 15857/34.150/41.096/46.190/1.063
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 12450/32.600/36.297/41.480/0.793
Info:Polynomial Selection (size optimized): Total time: 1087.95
Info:Quadratic Characters: Total cpu/real time for characters: 25.59/4.0056
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 48.65/17.1066
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 16.9s
Info:Square Root: Total cpu/real time for sqrt: 642.62/34.0679
Info:Linear Algebra: Total cpu/real time for bwc: 9160.96/216.42
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2957.93, WCT time 117.01, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12672 iterations)
Info:Linear Algebra: Lingen CPU time 4791.78, WCT time 43.58
Info:Linear Algebra: Mksol: CPU time 1350.52,  WCT time 49.7, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7315440
Info:Lattice Sieving: Average J: 1918.7 for 148042 special-q, max bucket fill -bkmult 1.0,1s:1.236290
Info:Lattice Sieving: Total time: 24545.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 56.98/18.4237
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 132.52/36.9184
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 29.4s
Info:Filtering - Merging: Total cpu/real time for merge: 503.15/6.22385
Info:Filtering - Merging: Total cpu/real time for replay: 11.85/9.12134
Info:Generate Factor Base: Total cpu/real time for makefb: 4.31/0.2716
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 60035.4/838.388
Info:root: Cleaning up computation data in /tmp/cado.h9dflef3
7705398111867148210753835651218861749366427 1652653874498614288306721846741349424066286394798433485787593146773388017

626154160922957961046376371009463685892753706685090088194391635798528128106525669452123872169815451461645820348895490331629305010157397672050802409622377244617294362080000814244941682389714695759108675533<204>

11414399989522673806751708961380984256343692748303004765962461855214813945042364333620098327442918691265089190367420358283669244268048124563741768189220637891793904415182819883938461889219154043546317756404543383991037<218>

18581671115180357487706893195977647338720660668154411677137998717092945070794848638565574348581617192174160345160003943326244513885073988045875996886816981777437576462426320954485753261339787897528422341960769141<212>

4171779979719537387934535787552572638225936622275503574878893253099269210964189577212152203367529185977452525003535128559784431348569811599934223437591979096819222805780794899609<178>

20765376821361878521657088987492438543198214934602457972096168150517554542174172482765466216723915387419630780536659682978457516158963902157967264800593628707523778458903688111841518633694213049816834219831<206>

157280281955692335394243565729537130704547619578674465428442421727458825485290571502320853905050298692184461061598109671516280761229046379990911085591273207843199999140380648223495005501<186>

48587874911109894809920910276759147340994018418192930706380758912646589030894968287532725826632234564545708737817730702076383050013960513824324703585977894504484213985264613726968725759549238271630880949<203>

1837079907627101459441977222136968372994843468444606238543273364339683141093129814030223151084474921023239778254328540790652590247428457434837228175127831267872776857495702699729759380450006786559167811<202>

23655406395857171300231892323946101347<38>

77660044257317588068005204208171685734050348387722369884834112601158085963348165032812506126589614431071000801095298267386588583887957572570138742543415290099754913<164>

Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sat Aug 27 18:35:54 2022 
Input number is 1837079907627101459441977222136968372994843468444606238543273364339683141093129814030223151084474921023239778254328540790652590247428457434837228175127831267872776857495702699729759380450006786559167811 (202 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3022002724
Step 1 took 0ms
Step 2 took 4807ms
********** Factor found in step 2: 23655406395857171300231892323946101347
Found prime factor of 38 digits: 23655406395857171300231892323946101347
Composite cofactor 77660044257317588068005204208171685734050348387722369884834112601158085963348165032812506126589614431071000801095298267386588583887957572570138742543415290099754913 has 164 digits

77660044257317588068005204208171685734050348387722369884834112601158085963348165032812506126589614431071000801095298267386588583887957572570138742543415290099754913<164>

32725994969699924407417680339756524193007<41>

2373038446324422905269628004753591542944420276359216720375116879706623186702261730399601230668711519528613094454710648552559<124>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:440618509
Step 1 took 26203ms
Step 2 took 11891ms
********** Factor found in step 2: 32725994969699924407417680339756524193007
Found prime factor of 41 digits: 32725994969699924407417680339756524193007
Composite cofactor 2373038446324422905269628004753591542944420276359216720375116879706623186702261730399601230668711519528613094454710648552559 has 124 digits
 

GMP-ECM

2373038446324422905269628004753591542944420276359216720375116879706623186702261730399601230668711519528613094454710648552559<124>

13990736587108488932689635155312077893389118179581<50>
169614975705497610594615090535526977217412782743416779463054748631321246939<75>

2373038446324422905269628004753591542944420276359216720375116879706623186702261730399601230668711519528613094454710648552559=13990736587108488932689635155312077893389118179581*169614975705497610594615090535526977217412782743416779463054748631321246939

cado polynomial
n: 2373038446324422905269628004753591542944420276359216720375116879706623186702261730399601230668711519528613094454710648552559
skew: 367047.733
c0: 7005389449728296155800588930648
c1: -107791240135485707121728194
c2: -44932665001717445325
c3: 1385284697707318
c4: 629125338
c5: 1080
Y0: -1457463298764413513446777
Y1: 5798506545617221
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.807e-07
# f(x) = 1080*x^5+629125338*x^4+1385284697707318*x^3-44932665001717445325*x^2-107791240135485707121728194*x+7005389449728296155800588930648
# g(x) = 5798506545617221*x-1457463298764413513446777

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: 169614975705497610594615090535526977217412782743416779463054748631321246939 13990736587108488932689635155312077893389118179581
Info:Square Root: Total cpu/real time for sqrt: 434.73/128.21
Info:Filtering - Singleton removal: Total cpu/real time for purge: 58.14/63.2845
Info:Filtering - Merging: Merged matrix has 699387 rows and total weight 119194190 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 135.87/39.2063
Info:Filtering - Merging: Total cpu/real time for replay: 25.28/21.0349
Info:Generate Factor Base: Total cpu/real time for makefb: 8.25/2.27201
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11620252
Info:Lattice Sieving: Average J: 3860.73 for 162679 special-q, max bucket fill -bkmult 1.0,1s:1.211000
Info:Lattice Sieving: Total time: 50806.3s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2433.63
Info:Polynomial Selection (root optimized): Rootsieve time: 2431.11
Info:Linear Algebra: Total cpu/real time for bwc: 7325.06/1884.91
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4590.93, WCT time 1173.85, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22016 iterations)
Info:Linear Algebra: Lingen CPU time 121.99, WCT time 31.02
Info:Linear Algebra: Mksol: CPU time 2503.52,  WCT time 640.41, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11008 iterations)
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): 20330/36.600/43.947/48.910/0.867
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15986/35.930/39.310/44.680/0.889
Info:Polynomial Selection (size optimized): Total time: 2016.75
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 126.08/109.769
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 97.19999999999999s
Info:Generate Free Relations: Total cpu/real time for freerel: 130.64/34.3232
Info:Square Root: Total cpu/real time for sqrt: 434.73/128.21
Info:Quadratic Characters: Total cpu/real time for characters: 25.75/10.3555
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.51/51.9705
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.9s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 107130/29222.4
Info:root: Cleaning up computation data in /tmp/cado.cgamkz0n
169614975705497610594615090535526977217412782743416779463054748631321246939 13990736587108488932689635155312077893389118179581

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)

25485395676898909225317235658266553333860460993746362069946124078582634937029956712254583355763651047311063496415482442766202663123805244380815505635458361371743447051536830132639133195237<188>

13151703060826688290657930456161430248734616850723562492508029258559185607093581783244505906310884059076693891006027999093648677551654758486072399247399768186667607440464406656749200706594190737886290060471254102137357703585255108922009<236>

5198347756189831314948650424301466213<37>

2529977538568202578658144435345210455574239955309174199783972206254131881446526483255700522059456134510609844872888843152611462558774268467993746714609305357833600296114068415433325292572970140883493<199>

Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sat Aug 27 18:43:21 2022 
Input number is 13151703060826688290657930456161430248734616850723562492508029258559185607093581783244505906310884059076693891006027999093648677551654758486072399247399768186667607440464406656749200706594190737886290060471254102137357703585255108922009 (236 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1376270937
Step 1 took 0ms
Step 2 took 6098ms
********** Factor found in step 2: 5198347756189831314948650424301466213
Found prime factor of 37 digits: 5198347756189831314948650424301466213
Composite cofactor 2529977538568202578658144435345210455574239955309174199783972206254131881446526483255700522059456134510609844872888843152611462558774268467993746714609305357833600296114068415433325292572970140883493 has 199 digits

210432027660922105720991100024456866813075529031502809758003795418970319747754028803615746109872611443585762005354318390472476967348621437839829650056912000506826779827298257639189111<183>

48009767812598054837055087105898434689<38>

4383108630775411974263141955294262089765295608630796522047616689755664848845171870249589082329480792899450886039994974280170643296902328893374199<145>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1004422905
Step 1 took 83712ms
Step 2 took 7502ms
********** Factor found in step 2: 48009767812598054837055087105898434689
Found prime factor of 38 digits: 48009767812598054837055087105898434689
Composite cofactor 4383108630775411974263141955294262089765295608630796522047616689755664848845171870249589082329480792899450886039994974280170643296902328893374199 has 145 digits

4383108630775411974263141955294262089765295608630796522047616689755664848845171870249589082329480792899450886039994974280170643296902328893374199<145>

55760517472563080866044968349934218097067623<44>
78605953270288733557530236385089506800921677621610268444805843328580767545003489365059977581536233713<101>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1355604345
Step 1 took 21813ms
Step 2 took 10890ms
********** Factor found in step 2: 55760517472563080866044968349934218097067623
Found prime factor of 44 digits: 55760517472563080866044968349934218097067623
Prime cofactor 78605953270288733557530236385089506800921677621610268444805843328580767545003489365059977581536233713 has 101 digits
 

GMP-ECM

8340450690431003587542375701698544296779222487923872056222119049917306647247428834225227952510306498765602835812976655556611746352937233120478677079113233335752524489524668187230610217217632895481735004088076950785676609679<223>

858229642401081757418481057416533249271605576761290589317936544291328813373635797340488132661705203789613734719127931218043539407703633453254134409359270376442656043127009703293594315743580983332657943919095960298147485196844670211080461118577709<246>

20780495215507383572123818929633847344284485443155217477057306437237937345952229944207566404351327270775724082248763350073787449672959302112647117393311508893566978899031239997769<179>

14779163530602421234948740807312537414615427046487919777673796632660107060210027613773386647608594330834161056198047176319366022301926343824269785801100954482095916434146387120257357811011402293<194>

2343206982589355933744626250461462898977003223694892821149710574219106338530613847549602105085294012711892309304551204136858449372249300878096441808851755630563670913171317685216777705770462160387661295393610937893789082149385124073566246699<241>

138853194778090335066738420961389013070291<42>

16875427218899617927382101418095668547403986664838548324138688526824426063592086675654360743154451137915378370057090606717217084053889744472055892640410801100669282527116784710088257054301251392738889<200>

Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1376270938
Resuming ECM residue saved by @f92c91b240aa with GMP-ECM 7.0.5-dev on Sat Aug 27 19:04:07 2022 
Input number is 2343206982589355933744626250461462898977003223694892821149710574219106338530613847549602105085294012711892309304551204136858449372249300878096441808851755630563670913171317685216777705770462160387661295393610937893789082149385124073566246699 (241 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4149196745
Step 1 took 1ms
Step 2 took 6094ms
********** Factor found in step 2: 138853194778090335066738420961389013070291
Found prime factor of 42 digits: 138853194778090335066738420961389013070291
Composite cofactor 16875427218899617927382101418095668547403986664838548324138688526824426063592086675654360743154451137915378370057090606717217084053889744472055892640410801100669282527116784710088257054301251392738889 has 200 digits

27944137831380123497304374182524835703162350891975463451909696240751735207023724091360432916753662158514574478357720865282103236059016685196046099255820546378913919460947481281153<179>

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501833346224699945415734599188794254249073816054295913096772683<63>

156276376469850225197225754347189328344936650113312565130574990569785634031676080256249782598510679789798281745842051616797902588136290619748166704393538845850364864723732588484150393588999941<192>

GMP-ECM 7.0.6-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-openmp] [ECM]
Running on four
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Thu Nov 30 08:52:16 2023
Input number is 78424696939735899892121446715848608408030379368416004464609280170685249975111105211679171476169602801962040221
798660392242781931869861179898468447078146308261659254207450684351362962597629900029224838321378795932365057664101052940015091
116654656577411703 (254 digits)
Using mpz_mod
Using lmax = 67108864 with NTT which takes about 23808MB of memory
Using B1=10000000000-10000000000, B2=13494038602573560, polynomial x^1
P = 198843645, l = 67108864, s_1 = 33177600, k = s_2 = 2, m_1 = 20
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.82    0.56    0.31    0.14    0.057   0.02    0.0066  0.002   0.00053 0.00014
Step 1 took 0ms
Computing F from factored S_1 took 552760ms (107684ms real)
Computing h using 7 threads took 78485ms (12456ms real)
Computing DCT-I of h (0) using 2147483647 threads took 149275ms (26510ms real)
Multi-point evaluation 1 of 2:
Computing g_i using 7 threads took 269275ms (42858ms real)
Computing g*h (A) using 2147483647 threads took 308565ms (51963ms real)
Computing gcd of coefficients and N using 7 threads took 67649ms (10043ms real)
Multi-point evaluation 2 of 2:
Computing g_i using 7 threads took 266173ms (42196ms real)
Computing g*h (A) using 2147483647 threads took 308920ms (51888ms real)
Computing gcd of coefficients and N using 7 threads took 67612ms (9969ms real)
Step 2 took 2072407ms (361691ms real)
********** Factor found in step 2: 501833346224699945415734599188794254249073816054295913096772683
Found prime factor of 63 digits: 501833346224699945415734599188794254249073816054295913096772683
Composite cofactor 156276376469850225197225754347189328344936650113312565130574990569785634031676080256249782598510679789798281745842051616797902588136290619748166704393538845850364864723732588484150393588999941 has 192 digits
Report your potential champion to Paul Zimmermann <zimmerma@loria.fr>
(see http://www.loria.fr/~zimmerma/records/Pminus1.html)
Peak memory usage: 28077MB

ecm-db 0.1, gmp-ecm 7.0.6-dev

1080 TI for stage 1

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