3944444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<118>

2163850569367425242126150494812311783523515407<46>
1822882088201475779365425480100630756480629075117790921557911685057898549<73>

N=3944444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
  ( 118 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=2163850569367425242126150494812311783523515407 (pp46)
 r2=1822882088201475779365425480100630756480629075117790921557911685057898549 (pp73)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3944444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 100000000000000000000000000000
deg: 4
c4: 355
c0: -13
skew: 0.44
# Murphy_E = 4.171e-08
type: snfs
lss: 1
rlim: 660000
alim: 660000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 660000/660000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [330000, 630001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 61763 x 61990
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,118.000,4,0,0,0,0,0,0,0,0,660000,660000,25,25,45,45,2.2,2.2,50000
total time: 0.01 hours.
 --------- CPU info (if available) ----------

108330369101649843660678129990414870962251854752705183484237674812117750742600636875216447701192231830146410877109<114>

67620145399663776908914509683633581<35>
1602042830008296424826008524352922837122603982530640657681388812785940719976489<79>

N=108330369101649843660678129990414870962251854752705183484237674812117750742600636875216447701192231830146410877109
  ( 114 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=67620145399663776908914509683633581 (pp35)
 r2=1602042830008296424826008524352922837122603982530640657681388812785940719976489 (pp79)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.02 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 108330369101649843660678129990414870962251854752705183484237674812117750742600636875216447701192231830146410877109
m: 1000000000000000000000000000000
deg: 4
c4: 355
c0: -13
skew: 0.44
# Murphy_E = 2.697e-08
type: snfs
lss: 1
rlim: 770000
alim: 770000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 770000/770000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [385000, 835001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 76769 x 76996
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,122.000,4,0,0,0,0,0,0,0,0,770000,770000,25,25,46,46,2.2,2.2,75000
total time: 0.02 hours.
 --------- CPU info (if available) ----------

5503628269293790180038502486637144560349094169630144922314017305874662184730473382008831512976176957470558117223<112>

469716478165430679067638125078087429<36>
11716915469496160399426393318507268365849490353398382930957105140971328792187<77>

N=5503628269293790180038502486637144560349094169630144922314017305874662184730473382008831512976176957470558117223
  ( 112 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=469716478165430679067638125078087429 (pp36)
 r2=11716915469496160399426393318507268365849490353398382930957105140971328792187 (pp77)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5503628269293790180038502486637144560349094169630144922314017305874662184730473382008831512976176957470558117223
m: 1000000000000000000000000000000
deg: 4
c4: 3550
c0: -13
skew: 0.25
# Murphy_E = 2.403e-08
type: snfs
lss: 1
rlim: 800000
alim: 800000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [400000, 850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 75211 x 75437
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,123.000,4,0,0,0,0,0,0,0,0,800000,800000,25,25,46,46,2.2,2.2,75000
total time: 0.01 hours.
 --------- CPU info (if available) ----------

25695158761188142157582851760443853561230125425347908175238989459348361813262544183045034025517773053407863307219<113>

12721199349887501138144689592516659646314522086691<50>
2019869200573087092117923594567845373094735834076831069510597009<64>

25695158761188142157582851760443853561230125425347908175238989459348361813262544183045034025517773053407863307219=12721199349887501138144689592516659646314522086691*2019869200573087092117923594567845373094735834076831069510597009

cado polynomial
n: 25695158761188142157582851760443853561230125425347908175238989459348361813262544183045034025517773053407863307219
skew: 14353.37
c0: -17998722281595606392790360
c1: -2323836470270917349854
c2: 950312752339333195
c3: 12006828548666
c4: -1062801900
c5: 37440
Y0: -3697827434291090892317
Y1: 964487034080633
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.370e-06
# f(x) = 37440*x^5-1062801900*x^4+12006828548666*x^3+950312752339333195*x^2-2323836470270917349854*x-17998722281595606392790360
# g(x) = 964487034080633*x-3697827434291090892317

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

cado log (extracts)
Info:Square Root: Factors: 2019869200573087092117923594567845373094735834076831069510597009 12721199349887501138144689592516659646314522086691
Info:Square Root: Total cpu/real time for sqrt: 123.79/44.0505
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21892/32.830/39.991/45.370/1.066
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16807/32.050/35.417/40.380/0.802
Info:Polynomial Selection (size optimized): Total time: 1827.07
Info:Quadratic Characters: Total cpu/real time for characters: 15.05/7.54466
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 106.96/145.876
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 115.30000000000003s
Info:Square Root: Total cpu/real time for sqrt: 123.79/44.0505
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.51/32.8913
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 31.900000000000002s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.12/2.02183
Info:Filtering - Singleton removal: Total cpu/real time for purge: 75.88/108.647
Info:Filtering - Merging: Merged matrix has 410911 rows and total weight 64225812 (156.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 66.12/24.6281
Info:Filtering - Merging: Total cpu/real time for replay: 13.93/11.697
Info:Generate Free Relations: Total cpu/real time for freerel: 64.3/21.2015
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6659130
Info:Lattice Sieving: Average J: 1885.87 for 102837 special-q, max bucket fill -bkmult 1.0,1s:1.234480
Info:Lattice Sieving: Total time: 15749.3s
Info:Linear Algebra: Total cpu/real time for bwc: 4358.94/1630.52
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1318.08, WCT time 541.11, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (12928 iterations)
Info:Linear Algebra: Lingen CPU time 2274.9, WCT time 770.8
Info:Linear Algebra: Mksol: CPU time 732.25,  WCT time 300.73, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (6528 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 328.5
Info:Polynomial Selection (root optimized): Rootsieve time: 327.31
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 29006.3/10575.8
Info:root: Cleaning up computation data in /tmp/cado.u_p7g948
2019869200573087092117923594567845373094735834076831069510597009 12721199349887501138144689592516659646314522086691

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)

525385088428435802852992885992407769003149400416645977728913720190015352853387427180470693130030774513351974042475062857409447<126>

278888956510735895511731884107919696726332082097<48>
1883850457908723184516474642466436587384559169840600708174806849274968699342551<79>

N=525385088428435802852992885992407769003149400416645977728913720190015352853387427180470693130030774513351974042475062857409447
  ( 126 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=278888956510735895511731884107919696726332082097 (pp48)
 r2=1883850457908723184516474642466436587384559169840600708174806849274968699342551 (pp79)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.05 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 525385088428435802852992885992407769003149400416645977728913720190015352853387427180470693130030774513351974042475062857409447
m: 10000000000000000000000000000000000
deg: 4
c4: 71
c0: -26
skew: 0.78
# Murphy_E = 6.129e-09
type: snfs
lss: 1
rlim: 1390000
alim: 1390000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [695000, 1695001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 178572 x 178797
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,137.000,4,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,100000
total time: 0.05 hours.
 --------- CPU info (if available) ----------

552664736404656975290886169071975390468037671661755633337655815564460010618251761427506795567268561828975492368649216947<120>

241042510332331808883243791210735436182793077<45>
2292810241822835317305132948836712194378400753503528745668186770848307410311<76>

552664736404656975290886169071975390468037671661755633337655815564460010618251761427506795567268561828975492368649216947=241042510332331808883243791210735436182793077*2292810241822835317305132948836712194378400753503528745668186770848307410311

cado polynomial
n: 552664736404656975290886169071975390468037671661755633337655815564460010618251761427506795567268561828975492368649216947
skew: 16247.052
c0: 100617102758258460254068578
c1: 6972531334499402339404
c2: -1799275631373741375
c3: 340537536589539
c4: 4504445302
c5: -202440
Y0: -131059259800259533025249
Y1: 65555507888653031
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.517e-06
# f(x) = -202440*x^5+4504445302*x^4+340537536589539*x^3-1799275631373741375*x^2+6972531334499402339404*x+100617102758258460254068578
# g(x) = 65555507888653031*x-131059259800259533025249

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: 2292810241822835317305132948836712194378400753503528745668186770848307410311 241042510332331808883243791210735436182793077
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 223.64/69.4744
Info:HTTP server: Got notification to stop serving Workunits
Info:Quadratic Characters: Total cpu/real time for characters: 21.98/8.46362
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.41/46.663
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 46.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 48.61/43.3996
Info:Filtering - Merging: Merged matrix has 696117 rows and total weight 70729409 (101.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 57.84/18.4493
Info:Filtering - Merging: Total cpu/real time for replay: 16.48/13.66
Info:Generate Factor Base: Total cpu/real time for makefb: 4.88/1.31333
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13425622
Info:Lattice Sieving: Average J: 1884.02 for 251907 special-q, max bucket fill -bkmult 1.0,1s:1.264110
Info:Lattice Sieving: Total time: 29824.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 134.57/145.412
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 132.4s
Info:Linear Algebra: Total cpu/real time for bwc: 5336.96/1476.98
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3294.27, WCT time 866.96, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (22016 iterations)
Info:Linear Algebra: Lingen CPU time 91.52, WCT time 93.07
Info:Linear Algebra: Mksol: CPU time 1867.0,  WCT time 488.25, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (11008 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 125.06/32.8332
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1817.38
Info:Polynomial Selection (root optimized): Rootsieve time: 1814.9
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21505.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 14510/35.670/42.809/48.570/1.034
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11510/34.930/37.827/43.260/0.794
Info:Polynomial Selection (size optimized): Total time: 2099.97
Info:Square Root: Total cpu/real time for sqrt: 223.64/69.4744
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 65695.3/18070.2
Info:root: Cleaning up computation data in /tmp/cado.nfmwoud3
2292810241822835317305132948836712194378400753503528745668186770848307410311 241042510332331808883243791210735436182793077

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)

28586704543969684694867404934220056279919875814430287491547272608764078952176032868058826544037691617174106158110062029663<122>

9046847751520908278310751452384386723<37>
3159852506544485493239666713366740411634341212922067125397558423582014994073908213781<85>

28586704543969684694867404934220056279919875814430287491547272608764078952176032868058826544037691617174106158110062029663=9046847751520908278310751452384386723*3159852506544485493239666713366740411634341212922067125397558423582014994073908213781

cado polynomial
n: 28586704543969684694867404934220056279919875814430287491547272608764078952176032868058826544037691617174106158110062029663
skew: 77159.821
c0: 34258715541085075624342798212
c1: -1485112802769631433953667
c2: -25877266972017927876
c3: 423448732197337
c4: 2141123014
c5: 10080
Y0: -354927273742334966606570
Y1: 11649022898511553
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.246e-06
# f(x) = 10080*x^5+2141123014*x^4+423448732197337*x^3-25877266972017927876*x^2-1485112802769631433953667*x+34258715541085075624342798212
# g(x) = 11649022898511553*x-354927273742334966606570

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: 9046847751520908278310751452384386723 3159852506544485493239666713366740411634341212922067125397558423582014994073908213781
Info:Square Root: Total cpu/real time for sqrt: 654.59/219.307
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 194.61/256.996
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 225.09999999999997s
Info:Square Root: Total cpu/real time for sqrt: 654.59/219.307
Info:Generate Free Relations: Total cpu/real time for freerel: 127.4/41.5706
Info:Filtering - Singleton removal: Total cpu/real time for purge: 103.96/143.587
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 58.78/66.9261
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 66.29999999999998s
Info:Filtering - Merging: Merged matrix has 820702 rows and total weight 83031636 (101.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 62.98/24.8446
Info:Filtering - Merging: Total cpu/real time for replay: 20.73/16.8999
Info:Linear Algebra: Total cpu/real time for bwc: 10841.6/4160.97
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3895.58, WCT time 1613.22, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (25856 iterations)
Info:Linear Algebra: Lingen CPU time 4620.33, WCT time 1567.95
Info:Linear Algebra: Mksol: CPU time 2247.19,  WCT time 942.07, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (13056 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.07/2.49132
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13845875
Info:Lattice Sieving: Average J: 1904.56 for 328593 special-q, max bucket fill -bkmult 1.0,1s:1.265740
Info:Lattice Sieving: Total time: 51620.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2018.7
Info:Polynomial Selection (root optimized): Rootsieve time: 2016.01
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): 19978/35.180/43.486/49.370/1.040
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16077/34.860/38.494/43.950/0.851
Info:Polynomial Selection (size optimized): Total time: 2237.23
Info:Quadratic Characters: Total cpu/real time for characters: 26.15/13.123
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 88664.2/32113.6
Info:root: Cleaning up computation data in /tmp/cado.qeh0e7tv
9046847751520908278310751452384386723 3159852506544485493239666713366740411634341212922067125397558423582014994073908213781

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)

53977715101831226307141577034093988404360571448442645157535449963989614515840592728845060936060380015344633194576630123143168806551017036707019<143>

107797992189487534984877273406850048176576594162192299596146595900693<69>
500730245577757017776733313431504963517636930093572511003171312276511871583<75>

Number: n
N=53977715101831226307141577034093988404360571448442645157535449963989614515840592728845060936060380015344633194576630123143168806551017036707019  ( 143 digits)
SNFS difficulty: 154 digits.
Divisors found:

Wed Nov 30 03:43:03 2022  p69 factor: 107797992189487534984877273406850048176576594162192299596146595900693
Wed Nov 30 03:43:03 2022  p75 factor: 500730245577757017776733313431504963517636930093572511003171312276511871583
Wed Nov 30 03:43:03 2022  elapsed time 00:05:56 (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 = 71x10^153-26 = 78(152)6
#
n: 53977715101831226307141577034093988404360571448442645157535449963989614515840592728845060936060380015344633194576630123143168806551017036707019
m: 1000000000000000000000000000000
deg: 5
c5: 35500
c0: -13
skew: 0.21
# Murphy_E = 7.224e-10
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1707323 hash collisions in 15187529 relations (14407027 unique)
Msieve: matrix is 364650 x 364876 (121.6 MB)

Sieving start time : 2022/11/30 03:06:13
Sieving end time  : 2022/11/30 03:36:48

Total sieving time: 0hrs 30min 35secs.

Total relation processing time: 0hrs 2min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 22sec.

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

1367429428854833287080140031940137629019771223968249357668431342686931390901595117077243475721217441036349973117826438970432041967276152467799<142>

1139083465299742850098138932017296404379158900140835207021329<61>
1200464645929174814829987859158998253672716508446681813981292070201012755355475431<82>

Number: n
N=1367429428854833287080140031940137629019771223968249357668431342686931390901595117077243475721217441036349973117826438970432041967276152467799  ( 142 digits)
SNFS difficulty: 156 digits.
Divisors found:

Wed Nov 30 04:46:09 2022  p61 factor: 1139083465299742850098138932017296404379158900140835207021329
Wed Nov 30 04:46:09 2022  p82 factor: 1200464645929174814829987859158998253672716508446681813981292070201012755355475431
Wed Nov 30 04:46:09 2022  elapsed time 00:05:59 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 71x10^155-26 = 78(154)6
#
n: 1367429428854833287080140031940137629019771223968249357668431342686931390901595117077243475721217441036349973117826438970432041967276152467799
m: 10000000000000000000000000000000
deg: 5
c5: 71
c0: -26
skew: 0.82
# Murphy_E = 6.806e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1437469 hash collisions in 13591653 relations (12978402 unique)
Msieve: matrix is 388492 x 388721 (129.4 MB)

Sieving start time : 2022/11/30 03:58:47
Sieving end time  : 2022/11/30 04:39:37

Total sieving time: 0hrs 40min 50secs.

Total relation processing time: 0hrs 2min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 55sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

5189013849112539770867765363610279041777700600332359991270763181154904926303578943244905228874245637976097502008733037223354304257753958011669288214931<151>

13222193016355861640131063411428033540359<41>
392447292419171778464868527535183165573418166040090064297375912929407024147672213663440454206475351189861516309<111>

Number: n
N=5189013849112539770867765363610279041777700600332359991270763181154904926303578943244905228874245637976097502008733037223354304257753958011669288214931  ( 151 digits)
SNFS difficulty: 157 digits.
Divisors found:

Sun Nov 27 09:17:49 2022  p41 factor: 13222193016355861640131063411428033540359
Sun Nov 27 09:17:49 2022  p111 factor: 392447292419171778464868527535183165573418166040090064297375912929407024147672213663440454206475351189861516309
Sun Nov 27 09:17:49 2022  elapsed time 00:11:43 (Msieve 1.54 - dependency 12)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 71x10^156-26 = 78(155)6
#
n: 5189013849112539770867765363610279041777700600332359991270763181154904926303578943244905228874245637976097502008733037223354304257753958011669288214931
m: 10000000000000000000000000000000
deg: 5
c5: 355
c0: -13
skew: 0.52
# Murphy_E = 6.673e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 668564 hash collisions in 8508533 relations (8390321 unique)
Msieve: matrix is 471131 x 471356 (165.4 MB)

Sieving start time : 2022/11/27 07:42:27
Sieving end time  : 2022/11/27 08:27:26

Total sieving time: 0hrs 44min 59secs.

Total relation processing time: 0hrs 3min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 19sec.

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

3944444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<160>

430350854338513087524151928080213414364776700997096136013622080610547<69>
9165647993211029257311597714079308797802250684582263498343209633664723810063645660076346169<91>

Number: n
N=3944444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443  ( 160 digits)
SNFS difficulty: 161 digits.
Divisors found:

Tue Nov 29 21:44:52 2022  p69 factor: 430350854338513087524151928080213414364776700997096136013622080610547
Tue Nov 29 21:44:52 2022  p91 factor: 9165647993211029257311597714079308797802250684582263498343209633664723810063645660076346169
Tue Nov 29 21:44:52 2022  elapsed time 00:09:27 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.300).
Factorization parameters were as follows:
#
# N = 71x10^159-26 = 78(158)6
#
n: 3944444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 50000000000000000000000000000000
deg: 5
c5: 568
c0: -65
skew: 0.65
# Murphy_E = 4.184e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2048782 hash collisions in 16201286 relations (15098188 unique)
Msieve: matrix is 492078 x 492304 (166.3 MB)

Sieving start time : 2022/11/29 20:52:21
Sieving end time  : 2022/11/29 21:35:06

Total sieving time: 0hrs 42min 45secs.

Total relation processing time: 0hrs 3min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 10sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

4308624668012410709836429659478227279179484120982847838253594482812277162351520126954593113648203925875990580800029250977639661631<130>

262951211128790804114476260944646944478138735649969037<54>
16385642984934154092464069027469676122630552618309155691371293710200562067963<77>

4308624668012410709836429659478227279179484120982847838253594482812277162351520126954593113648203925875990580800029250977639661631=262951211128790804114476260944646944478138735649969037*16385642984934154092464069027469676122630552618309155691371293710200562067963

cado polynomial
n: 4308624668012410709836429659478227279179484120982847838253594482812277162351520126954593113648203925875990580800029250977639661631
skew: 0.33
type: snfs
c0: -13
c5: 3550
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 3550*x^5-13
# g(x) = -x+100000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 262951211128790804114476260944646944478138735649969037 16385642984934154092464069027469676122630552618309155691371293710200562067963
Info:Square Root: Total cpu/real time for sqrt: 122.2/23.3016
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.83/0.473725
Info:Generate Free Relations: Total cpu/real time for freerel: 49.24/6.41962
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11628620
Info:Lattice Sieving: Average J: 1893.54 for 329176 special-q, max bucket fill -bkmult 1.0,1s:1.147860
Info:Lattice Sieving: Total time: 41316.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.14/20.1076
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 119.9/36.8627
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 34.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 80.18/32.0352
Info:Filtering - Merging: Merged matrix has 492079 rows and total weight 84228969 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 100.6/14.5756
Info:Filtering - Merging: Total cpu/real time for replay: 15.04/12.4793
Info:Linear Algebra: Total cpu/real time for bwc: 2416.55/643.15
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 400.56, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15488 iterations)
Info:Linear Algebra: Lingen CPU time 46.24, WCT time 12.57
Info:Linear Algebra: Mksol: WCT time 219.37, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7808 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 21.51/5.14117
Info:Square Root: Total cpu/real time for sqrt: 122.2/23.3016
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 95959/21600.5
Info:root: Cleaning up computation data in /tmp/cado.hto4y4tl
262951211128790804114476260944646944478138735649969037 16385642984934154092464069027469676122630552618309155691371293710200562067963

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)

10890523347659419580179180041693425356056120282373722054503651625376079040531468370582759451736464083047087082088460600369538139<128>

36605968090744537686627947075992425230349087690239<50>
297506770498796951159005782416693766806293425531075118231913906955267571016101<78>

10890523347659419580179180041693425356056120282373722054503651625376079040531468370582759451736464083047087082088460600369538139=36605968090744537686627947075992425230349087690239*297506770498796951159005782416693766806293425531075118231913906955267571016101

cado polynomial
n: 10890523347659419580179180041693425356056120282373722054503651625376079040531468370582759451736464083047087082088460600369538139
skew: 0.52
type: snfs
c0: -13
c5: 355
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 355*x^5-13
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4300000
tasks.lim1 = 4300000
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: 297506770498796951159005782416693766806293425531075118231913906955267571016101 36605968090744537686627947075992425230349087690239
Info:Square Root: Total cpu/real time for sqrt: 128.81/40.7835
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.32/44.715
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 44.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 64.88/60.5175
Info:Filtering - Merging: Merged matrix has 598780 rows and total weight 101839527 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 127.21/36.2014
Info:Filtering - Merging: Total cpu/real time for replay: 19.66/16.8578
Info:Generate Factor Base: Total cpu/real time for makefb: 1.87/1.13718
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11641394
Info:Lattice Sieving: Average J: 1893.32 for 429489 special-q, max bucket fill -bkmult 1.0,1s:1.250420
Info:Lattice Sieving: Total time: 53769.8s
Info:Linear Algebra: Total cpu/real time for bwc: 5296.75/1414.27
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3305.59, WCT time 876.88, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (18944 iterations)
Info:Linear Algebra: Lingen CPU time 106.45, WCT time 27.8
Info:Linear Algebra: Mksol: CPU time 1795.7,  WCT time 476.34, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9472 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 60.01/17.2157
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 108.21/101.048
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 91.30000000000001s
Info:Quadratic Characters: Total cpu/real time for characters: 19.26/7.7759
Info:Square Root: Total cpu/real time for sqrt: 128.81/40.7835
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 103831/28808.5
Info:root: Cleaning up computation data in /tmp/cado.h9kmguep
297506770498796951159005782416693766806293425531075118231913906955267571016101 36605968090744537686627947075992425230349087690239

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)

1356332041330111914877241451107029228093374070771074972676231647274418194872340734353000747111124417455046501968623478471461<124>

141396855501218715559700196660963081110321180913172139305061<60>
9592377684229487938923436910547605027479854284527208783637822401<64>

1356332041330111914877241451107029228093374070771074972676231647274418194872340734353000747111124417455046501968623478471461=141396855501218715559700196660963081110321180913172139305061*9592377684229487938923436910547605027479854284527208783637822401

cado polynomial
n: 1356332041330111914877241451107029228093374070771074972676231647274418194872340734353000747111124417455046501968623478471461
skew: 32546.722
c0: -569098889553962357870144179
c1: 8397821431287277689849
c2: -1102896554453493293
c3: -221888137359105
c4: 2072700728
c5: 28800
Y0: -536200814904661307879062
Y1: 520037941954410959
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.922e-07
# f(x) = 28800*x^5+2072700728*x^4-221888137359105*x^3-1102896554453493293*x^2+8397821431287277689849*x-569098889553962357870144179
# g(x) = 520037941954410959*x-536200814904661307879062

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: 141396855501218715559700196660963081110321180913172139305061 9592377684229487938923436910547605027479854284527208783637822401
Info:Square Root: Total cpu/real time for sqrt: 282.11/85.903
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2396.96
Info:Polynomial Selection (root optimized): Rootsieve time: 2394.49
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): 20279/36.420/43.839/49.300/0.903
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16030/34.790/39.221/44.610/0.901
Info:Polynomial Selection (size optimized): Total time: 1981.83
Info:Generate Free Relations: Total cpu/real time for freerel: 126.23/32.8424
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 121.58/104.623
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 94.7s
Info:Quadratic Characters: Total cpu/real time for characters: 29.67/11.8021
Info:Square Root: Total cpu/real time for sqrt: 282.11/85.903
Info:Generate Factor Base: Total cpu/real time for makefb: 8.53/2.35722
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.19/51.0937
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 50.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 51.27/58.791
Info:Filtering - Merging: Merged matrix has 778631 rows and total weight 132660364 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 156.63/44.9293
Info:Filtering - Merging: Total cpu/real time for replay: 28.94/23.8911
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11623672
Info:Lattice Sieving: Average J: 3781.73 for 182992 special-q, max bucket fill -bkmult 1.0,1s:1.298150
Info:Lattice Sieving: Total time: 53459.7s
Info:Linear Algebra: Total cpu/real time for bwc: 9369.56/2413.03
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5905.81, WCT time 1513.33, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24576 iterations)
Info:Linear Algebra: Lingen CPU time 142.83, WCT time 36.32
Info:Linear Algebra: Mksol: CPU time 3198.87,  WCT time 818.85, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 113993/30997.3
Info:root: Cleaning up computation data in /tmp/cado._a2vo3k3
141396855501218715559700196660963081110321180913172139305061 9592377684229487938923436910547605027479854284527208783637822401

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)

233632169625531149404472409327302721084090534498149381256313711916986527013802588130847679049461314852218939157171777835245872394703309479569483533534959<153>

14035695896530906268772035420082961057<38>
244194413073461409959897165085377224952682134843414073403<57>
68165240064225340745762336915204617861405815025865101296829<59>

Number: n
N=16645570789495104028509280820219516020412153804940199756214499187682937982742643391561778877281248041825764697139087  ( 116 digits)
Divisors found:

Sun Dec  4 05:45:06 2022  p57 factor: 244194413073461409959897165085377224952682134843414073403
Sun Dec  4 05:45:06 2022  p59 factor: 68165240064225340745762336915204617861405815025865101296829
Sun Dec  4 05:45:06 2022  elapsed time 00:04:39 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.302).
Factorization parameters were as follows:
#
# N = 71x10^168-26 = 78(167)6
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 233632169625531149404472409327302721084090534498149381256313711916986527013802588130847679049461314852218939157171777835245872394703309479569483533534959 (153 digits)
# Using B1=25270000, B2=96190324246, polynomial Dickson(12), sigma=1:2333536223
# Step 1 took 49146ms
# Step 2 took 17555ms
# ********** Factor found in step 2: 14035695896530906268772035420082961057
# Found prime factor of 38 digits: 14035695896530906268772035420082961057
# Composite cofactor 16645570789495104028509280820219516020412153804940199756214499187682937982742643391561778877281248041825764697139087 has 116 digits
#

n: 16645570789495104028509280820219516020412153804940199756214499187682937982742643391561778877281248041825764697139087

Y0: -36643245769376557954868
Y1: 15159176761667

c0: 279901512089252066530994403717
c1: 2778294166332812787277608
c2: -1524874277853162443
c3: -54783070187648
c4: -100291566
c5: 252

# skew 316265.48, size 4.831e-11, alpha -6.337, combined = 5.284e-10 rroots = 3

skew: 316265.48

type: gnfs
rlim: 2600000
alim: 2600000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 751164 hash collisions in 7062028 relations (6589817 unique)
Msieve: matrix is 380387 x 380612 (133.4 MB)

Sieving start time : 2022/12/04 04:58:57
Sieving end time  : 2022/12/04 05:40:06

Total sieving time: 0hrs 41min 9secs.

Total relation processing time: 0hrs 2min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 27sec.

Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2600000,2600000,26,26,49,49,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

21214755682209617774637285475587907341129412414057806833596328049743517898291892916048938445853490210176752717272192527467010460102549831704517<143>

100590128708125076016243719489840087<36>
210902957921118707242269841992701563763939173037086702340302803047992867374339025103897149244950669914301891<108>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 21214755682209617774637285475587907341129412414057806833596328049743517898291892916048938445853490210176752717272192527467010460102549831704517 (143 digits)
Using B1=25030000, B2=96190324246, polynomial Dickson(12), sigma=1:4039667655
Step 1 took 49344ms
Step 2 took 17358ms
********** Factor found in step 2: 100590128708125076016243719489840087
Found prime factor of 36 digits: 100590128708125076016243719489840087
Prime cofactor 210902957921118707242269841992701563763939173037086702340302803047992867374339025103897149244950669914301891 has 108 digits

1969816332898757680531420187408087212578629718838594974326287457038916180674718064432775369017623342557934274376519631634646476451469<133>

4858141268913277147471287290407611629900253278771333334793<58>
405467075546649967524709444137884812970955161882390709720006536040689068133<75>

1969816332898757680531420187408087212578629718838594974326287457038916180674718064432775369017623342557934274376519631634646476451469=4858141268913277147471287290407611629900253278771333334793*405467075546649967524709444137884812970955161882390709720006536040689068133

cado polynomial
n: 1969816332898757680531420187408087212578629718838594974326287457038916180674718064432775369017623342557934274376519631634646476451469
skew: 0.52
type: snfs
c0: -13
c5: 355
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 355*x^5-13
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5300000
tasks.lim1 = 5300000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4858141268913277147471287290407611629900253278771333334793 405467075546649967524709444137884812970955161882390709720006536040689068133
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.49/0.652942
Info:Generate Free Relations: Total cpu/real time for freerel: 48.87/6.32701
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12067564
Info:Lattice Sieving: Average J: 1892.61 for 566503 special-q, max bucket fill -bkmult 1.0,1s:1.089960
Info:Lattice Sieving: Total time: 75750.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.75/22.0995
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.900000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 181.9/76.8585
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 66.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 128.09/60.5919
Info:Filtering - Merging: Merged matrix has 916164 rows and total weight 156786977 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 209.87/30.6885
Info:Filtering - Merging: Total cpu/real time for replay: 30.21/24.9604
Info:Linear Algebra: Total cpu/real time for bwc: 8566.44/2238.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1406.41, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (28672 iterations)
Info:Linear Algebra: Lingen CPU time 95.45, WCT time 25.97
Info:Linear Algebra: Mksol: WCT time 775.26, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14336 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 45.11/10.6643
Info:Square Root: Total cpu/real time for sqrt: 893.11/158.069
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 184095/40582.1
Info:root: Cleaning up computation data in /tmp/cado.vksms8hw
4858141268913277147471287290407611629900253278771333334793 405467075546649967524709444137884812970955161882390709720006536040689068133

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)

230807956523402938899913621210203271313775495846005601989870561888466490135005454740180541783198344813616972988417482889988455930239795713169<141>

721636356978491789884284080775362160554652949<45>
12250453254958962291190390355247908489210688899<47>
26108397311718254638982861145954261870642243718319<50>

230807956523402938899913621210203271313775495846005601989870561888466490135005454740180541783198344813616972988417482889988455930239795713169=721636356978491789884284080775362160554652949*12250453254958962291190390355247908489210688899*26108397311718254638982861145954261870642243718319

cado polynomial
n: 230807956523402938899913621210203271313775495846005601989870561888466490135005454740180541783198344813616972988417482889988455930239795713169
skew: 0.33
type: snfs
c0: -13
c5: 3550
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 3550*x^5-13
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5500000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 721636356978491789884284080775362160554652949 12250453254958962291190390355247908489210688899 26108397311718254638982861145954261870642243718319
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 510.72/158.724
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Singleton removal: Total cpu/real time for purge: 127.07/121.411
Info:Filtering - Merging: Merged matrix has 948383 rows and total weight 161860957 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 245.43/69.7514
Info:Filtering - Merging: Total cpu/real time for replay: 33.63/33.5186
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12312218
Info:Lattice Sieving: Average J: 1892.65 for 640774 special-q, max bucket fill -bkmult 1.0,1s:1.242450
Info:Lattice Sieving: Total time: 84219s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 188.9/198.347
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 138.5s
Info:Linear Algebra: Total cpu/real time for bwc: 15180.2/4239.75
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9630.69, WCT time 2609.08, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29696 iterations)
Info:Linear Algebra: Lingen CPU time 122.68, WCT time 125.73
Info:Linear Algebra: Mksol: CPU time 5245.81,  WCT time 1436.73, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (14848 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.35/1.50453
Info:Generate Free Relations: Total cpu/real time for freerel: 64.28/18.2574
Info:Square Root: Total cpu/real time for sqrt: 510.72/158.724
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 48.6/45.2893
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 44.8s
Info:Quadratic Characters: Total cpu/real time for characters: 33.27/14.2809
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 169797/46934.4
Info:root: Cleaning up computation data in /tmp/cado.jofvjhxg
721636356978491789884284080775362160554652949 12250453254958962291190390355247908489210688899 26108397311718254638982861145954261870642243718319

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)

176043409367607598596835396649281475929947687272301421133739523458515652150722582235636472405052658218535307746559795630837142305823962079219202258016489<153>

49790277975341337802300873693088891195139103757<47>
3535698464161883021772380556224188604760507693793947958562936967492670747181636595595034742964059407289677<106>

Number: n
N=176043409367607598596835396649281475929947687272301421133739523458515652150722582235636472405052658218535307746559795630837142305823962079219202258016489  ( 153 digits)
SNFS difficulty: 174 digits.
Divisors found:

Sat Dec  3 23:40:45 2022  p47 factor: 49790277975341337802300873693088891195139103757
Sat Dec  3 23:40:45 2022  p106 factor: 3535698464161883021772380556224188604760507693793947958562936967492670747181636595595034742964059407289677
Sat Dec  3 23:40:45 2022  elapsed time 00:16:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 71x10^173-26 = 78(172)6
#
n: 176043409367607598596835396649281475929947687272301421133739523458515652150722582235636472405052658218535307746559795630837142305823962079219202258016489
m: 10000000000000000000000000000000000
deg: 5
c5: 35500
c0: -13
skew: 0.21
# Murphy_E = 1.198e-10
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 22850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1787190 hash collisions in 13636316 relations (12581591 unique)
Msieve: matrix is 884082 x 884307 (307.0 MB)

Sieving start time : 2022/12/03 21:06:28
Sieving end time  : 2022/12/03 23:24:11

Total sieving time: 2hrs 17min 43secs.

Total relation processing time: 0hrs 11min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 10sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

72325661971617212321836220545991331225335576902514521716875874134611939955899697974386336714720555099919335654489130069441011952408462640336433835478635067<155>

4010460916569900042503267940209679345918272750445151<52>
18034251792054988688743886632445225072047763432337074512502965904143588096163001081464025626132354692517<104>

Number: n
N=72325661971617212321836220545991331225335576902514521716875874134611939955899697974386336714720555099919335654489130069441011952408462640336433835478635067  ( 155 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sat Dec  3 05:09:16 2022  p52 factor: 4010460916569900042503267940209679345918272750445151
Sat Dec  3 05:09:16 2022  p104 factor: 18034251792054988688743886632445225072047763432337074512502965904143588096163001081464025626132354692517
Sat Dec  3 05:09:16 2022  elapsed time 00:18:48 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.305).
Factorization parameters were as follows:
#
# N = 71x10^175-26 = 78(174)6
#
n: 72325661971617212321836220545991331225335576902514521716875874134611939955899697974386336714720555099919335654489130069441011952408462640336433835478635067
m: 100000000000000000000000000000000000
deg: 5
c5: 71
c0: -26
skew: 0.82
# Murphy_E = 1.113e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1781717 hash collisions in 13136502 relations (12040368 unique)
Msieve: matrix is 966687 x 966912 (335.1 MB)

Sieving start time : 2022/12/03 03:22:51
Sieving end time  : 2022/12/03 04:50:05

Total sieving time: 1hrs 27min 14secs.

Total relation processing time: 0hrs 14min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 4sec.

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

736797415776635359769430055371531445244639251406443483478096061167154140211529200335404703759329411093740186367564435661249735116840790520385419325102439019682232438551<168>

1844318543958922536166038848524981030889892299<46>
399495747732960837105128636513302938694170712675622657532847401992122209291524399399143660172266931937589490158608363714149<123>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 736797415776635359769430055371531445244639251406443483478096061167154140211529200335404703759329411093740186367564435661249735116840790520385419325102439019682232438551 (168 digits)
Using B1=27910000, B2=144287213086, polynomial Dickson(12), sigma=1:1236372372
Step 1 took 66875ms
Step 2 took 26200ms
********** Factor found in step 2: 1844318543958922536166038848524981030889892299
Found prime factor of 46 digits: 1844318543958922536166038848524981030889892299
Prime cofactor 399495747732960837105128636513302938694170712675622657532847401992122209291524399399143660172266931937589490158608363714149 has 123 digits

616262632732989371986714419208923621798059935794113424613112923096846453911974434301282294982875710589874440394470579187925557557107148629180191895504077662284952550381206177<174>

2518767925412701096064660885089857259413656350774236996980102783697753721<73>
244668286631454742668144160549596409622666850301260881106364526674922743420036654083185772193126898537<102>

Number: n
N=616262632732989371986714419208923621798059935794113424613112923096846453911974434301282294982875710589874440394470579187925557557107148629180191895504077662284952550381206177  ( 174 digits)
SNFS difficulty: 181 digits.
Divisors found:

Mon Dec  5 09:05:37 2022  p73 factor: 2518767925412701096064660885089857259413656350774236996980102783697753721
Mon Dec  5 09:05:37 2022  p102 factor: 244668286631454742668144160549596409622666850301260881106364526674922743420036654083185772193126898537
Mon Dec  5 09:05:37 2022  elapsed time 00:16:01 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 71x10^179-26 = 78(178)6
#
n: 616262632732989371986714419208923621798059935794113424613112923096846453911974434301282294982875710589874440394470579187925557557107148629180191895504077662284952550381206177
m: 500000000000000000000000000000000000
deg: 5
c5: 568
c0: -65
skew: 0.65
# Murphy_E = 6.748e-11
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 16450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1782473 hash collisions in 12720117 relations (11578088 unique)
Msieve: matrix is 834262 x 834487 (286.3 MB)

Sieving start time : 2022/12/05 04:48:37
Sieving end time  : 2022/12/05 08:49:16

Total sieving time: 4hrs 0min 39secs.

Total relation processing time: 0hrs 10min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 41sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7300000,7300000,27,27,50,50,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2530111895089444800798232485211317796308174755897655192074691753973344736654550637873280592972703299836077257501247238258142684056731523056090086237616705865583351151022735371677<178>

47070671348480392796530292393807<32>
402405567228717139601456710546941588777495435186695705743793365117<66>
133575053077313845523485157875311239921170213877244604679637277686280497405895183<81>

Number: n
N=2530111895089444800798232485211317796308174755897655192074691753973344736654550637873280592972703299836077257501247238258142684056731523056090086237616705865583351151022735371677  ( 178 digits)
SNFS difficulty: 181 digits.
Divisors found:

Sun Dec  4 19:04:10 2022  found factor: 47070671348480392796530292393807
Sun Dec  4 19:06:00 2022  p32 factor: 47070671348480392796530292393807
Sun Dec  4 19:06:00 2022  p66 factor: 402405567228717139601456710546941588777495435186695705743793365117
Sun Dec  4 19:06:00 2022  p81 factor: 133575053077313845523485157875311239921170213877244604679637277686280497405895183
Sun Dec  4 19:06:00 2022  elapsed time 00:17:51 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 71x10^180-26 = 78(179)6
#
n: 2530111895089444800798232485211317796308174755897655192074691753973344736654550637873280592972703299836077257501247238258142684056731523056090086237616705865583351151022735371677
m: 1000000000000000000000000000000000000
deg: 5
c5: 71
c0: -26
skew: 0.82
# Murphy_E = 6.999e-11
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 16550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1793788 hash collisions in 13855086 relations (12820483 unique)
Msieve: matrix is 876071 x 876296 (302.8 MB)

Sieving start time : 2022/12/04 15:24:52
Sieving end time  : 2022/12/04 18:47:45

Total sieving time: 3hrs 22min 53secs.

Total relation processing time: 0hrs 11min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 45sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7500000,7500000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

15482035349620291947257667205661563376244519401959340906836331412083354760149727517098584538498140063066618734706058053<119>

1081584328441845276954342397949878885911595698855991181<55>
14314219374761152903124454040917060145995942661689813553174466713<65>

Number: 1
N=15482035349620291947257667205661563376244519401959340906836331412083354760149727517098584538498140063066618734706058053
  ( 119 digits)
Divisors found:
 r1=1081584328441845276954342397949878885911595698855991181 (pp55)
 r2=14314219374761152903124454040917060145995942661689813553174466713 (pp65)
Version: Msieve v. 1.52 (SVN 927)
Total time: 24.34 hours.
Scaled time: 191.51 units (timescale=7.868).
Factorization parameters were as follows:
name: 1
n: 15482035349620291947257667205661563376244519401959340906836331412083354760149727517098584538498140063066618734706058053
skew: 105033.78
# norm 1.18e+016
c5: 4200
c4: -3078845758
c3: -183992577737329
c2: 27938407929934073492
c1: 619299755748128539900276
c0: -54695094963791507790195905680
# alpha -5.83
Y1: 5124357044719
Y0: -81906758063971241459361
# Murphy_E 3.67e-010
# M 15127747756006799130291934563383438492087033040884518832903681991168141954270541042625278102397262652832924636067181448
type: gnfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2000000, 3600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 690740 x 690965
Total sieving time: 24.19 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4000000,4000000,27,27,53,53,2.5,2.5,100000
total time: 24.34 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

2328335405039733370119936103281314572620806672219685863446553610541486017450774183666873130411198481889591182774850566649377071899609350740174338237784379081<157>

49514412216623567046680074356735796874822670240052048959728314487035836515063<77>
47023387753314315443709960301484415619855766200574121457821308524587510722612287<80>

Number: n
N=2328335405039733370119936103281314572620806672219685863446553610541486017450774183666873130411198481889591182774850566649377071899609350740174338237784379081  ( 157 digits)
SNFS difficulty: 184 digits.
Divisors found:

Wed Dec  7 21:54:30 2022  p77 factor: 49514412216623567046680074356735796874822670240052048959728314487035836515063
Wed Dec  7 21:54:30 2022  p80 factor: 47023387753314315443709960301484415619855766200574121457821308524587510722612287
Wed Dec  7 21:54:30 2022  elapsed time 00:27:33 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 71x10^183-26 = 78(182)6
#
n: 2328335405039733370119936103281314572620806672219685863446553610541486017450774183666873130411198481889591182774850566649377071899609350740174338237784379081
m: 1000000000000000000000000000000000000
deg: 5
c5: 35500
c0: -13
skew: 0.21
# Murphy_E = 4.743e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 16950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1910478 hash collisions in 14606282 relations (13498094 unique)
Msieve: matrix is 1066898 x 1067123 (371.1 MB)

Sieving start time : 2022/12/07 17:18:39
Sieving end time  : 2022/12/07 21:26:30

Total sieving time: 4hrs 7min 51secs.

Total relation processing time: 0hrs 19min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 36sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8300000,8300000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2382930666202496151104741473169867008771366107546305791156833130799268690875094019163865779333427373218139145246013916264329244558136775115405342123576911146234971<163>

9454516983021703172389441167119766277699<40>
252041502541243682160277218207388110092310824270649205972376874414982129711101210780101765300658040410217044503136924728329<123>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2382930666202496151104741473169867008771366107546305791156833130799268690875094019163865779333427373218139145246013916264329244558136775115405342123576911146234971 (163 digits)
Using B1=31670000, B2=144290666536, polynomial Dickson(12), sigma=1:3767748290
Step 1 took 74541ms
Step 2 took 24411ms
********** Factor found in step 2: 9454516983021703172389441167119766277699
Found prime factor of 40 digits: 9454516983021703172389441167119766277699
Prime cofactor 252041502541243682160277218207388110092310824270649205972376874414982129711101210780101765300658040410217044503136924728329 has 123 digits

5849154171254300353184101962974914135563849007446175214528837955186804205045601054661641091845935193597307127674143213697185577566384284724567174295895808085996067484755563997<175>

2056681805345714879224116660000915786613939<43>
4991072092905231721046601646971028528290362782663<49>
569812693363800974220821462975035812546792152986049397159191892697733961026215576921<84>

Number: n
N=5849154171254300353184101962974914135563849007446175214528837955186804205045601054661641091845935193597307127674143213697185577566384284724567174295895808085996067484755563997  ( 175 digits)
SNFS difficulty: 189 digits.
Divisors found:

Fri Dec  9 15:18:53 2022  found factor: 2056681805345714879224116660000915786613939
Fri Dec  9 15:20:54 2022  p43 factor: 2056681805345714879224116660000915786613939
Fri Dec  9 15:20:54 2022  p49 factor: 4991072092905231721046601646971028528290362782663
Fri Dec  9 15:20:54 2022  p84 factor: 569812693363800974220821462975035812546792152986049397159191892697733961026215576921
Fri Dec  9 15:20:54 2022  elapsed time 00:40:15 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 71x10^188-26 = 78(187)6
#
n: 5849154171254300353184101962974914135563849007446175214528837955186804205045601054661641091845935193597307127674143213697185577566384284724567174295895808085996067484755563997
m: 10000000000000000000000000000000000000
deg: 5
c5: 35500
c0: -13
skew: 0.21
# Murphy_E = 2.964e-11
type: snfs
lss: 1
rlim: 10100000
alim: 10100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 10100000/10100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 25050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1873116 hash collisions in 13710528 relations (12555548 unique)
Msieve: matrix is 1354219 x 1354445 (471.8 MB)

Sieving start time : 2022/12/09 07:45:24
Sieving end time  : 2022/12/09 14:40:00

Total sieving time: 6hrs 54min 36secs.

Total relation processing time: 0hrs 32min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 4sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10100000,10100000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3498687815213089896925559393173578751630474633959117988792590640810994329652314901318228469519395337943906698640388144300069869672805623867114845185517693247806705353404226747817881<181>

503278947570749982166056179306041092559<39>
968565177093237961746552121988088422439455221098356943801779571461<66>
7177407063190733349083738622590782840773349716220056343342013970480736877419<76>

Number: n
N=3498687815213089896925559393173578751630474633959117988792590640810994329652314901318228469519395337943906698640388144300069869672805623867114845185517693247806705353404226747817881  ( 181 digits)
SNFS difficulty: 191 digits.
Divisors found:

Fri Dec  9 01:17:47 2022  found factor: 7177407063190733349083738622590782840773349716220056343342013970480736877419
Fri Dec  9 01:21:45 2022  p39 factor: 503278947570749982166056179306041092559
Fri Dec  9 01:21:45 2022  p66 factor: 968565177093237961746552121988088422439455221098356943801779571461
Fri Dec  9 01:21:45 2022  p76 factor: 7177407063190733349083738622590782840773349716220056343342013970480736877419
Fri Dec  9 01:21:45 2022  elapsed time 00:53:01 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 71x10^189-26 = 78(188)6
#
n: 3498687815213089896925559393173578751630474633959117988792590640810994329652314901318228469519395337943906698640388144300069869672805623867114845185517693247806705353404226747817881
m: 50000000000000000000000000000000000000
deg: 5
c5: 568
c0: -65
skew: 0.65
# Murphy_E = 2.638e-11
type: snfs
lss: 1
rlim: 10800000
alim: 10800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 25400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1939270 hash collisions in 13663405 relations (12415378 unique)
Msieve: matrix is 1503811 x 1504036 (523.3 MB)

Sieving start time : 2022/12/08 15:50:56
Sieving end time  : 2022/12/09 00:28:08

Total sieving time: 8hrs 37min 12secs.

Total relation processing time: 0hrs 42min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 58sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10800000,10800000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

18783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783<191>

5404336072953637242057186193186442653693608939634846698935816518910520174536184943132916879<91>
3475555281817115705681766867982333069064574622003349606640073870930465561489367474397044750684882977<100>

Number: n
N=18783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783  ( 191 digits)
SNFS difficulty: 192 digits.
Divisors found:

Mon Dec 12 09:46:35 2022  p91 factor: 5404336072953637242057186193186442653693608939634846698935816518910520174536184943132916879
Mon Dec 12 09:46:35 2022  p100 factor: 3475555281817115705681766867982333069064574622003349606640073870930465561489367474397044750684882977
Mon Dec 12 09:46:35 2022  elapsed time 00:57:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.306).
Factorization parameters were as follows:
#
# N = 71x10^191-26 = 78(190)6
#
n: 18783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783
m: 100000000000000000000000000000000000000
deg: 5
c5: 355
c0: -13
skew: 0.52
# Murphy_E = 2.668e-11
type: snfs
lss: 1
rlim: 11300000
alim: 11300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 11300000/11300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 18501547)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1755338 hash collisions in 13633064 relations (12621189 unique)
Msieve: matrix is 1595200 x 1595425 (558.1 MB)

Sieving start time : 2022/12/12 03:21:53
Sieving end time  : 2022/12/12 08:48:18

Total sieving time: 5hrs 26min 25secs.

Total relation processing time: 0hrs 51min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 8sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11300000,11300000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

39444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<194>

2227433758040072119309728822367293737178534026045918597353541397221178245073666147285618880598711<97>
17708470252849076426576943585811166283914266590423701521585450237488931358460869512981271291329213<98>

Number: n
N=39444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443  ( 194 digits)
SNFS difficulty: 194 digits.
Divisors found:

Wed Dec 14 18:24:26 2022  p97 factor: 2227433758040072119309728822367293737178534026045918597353541397221178245073666147285618880598711
Wed Dec 14 18:24:26 2022  p98 factor: 17708470252849076426576943585811166283914266590423701521585450237488931358460869512981271291329213
Wed Dec 14 18:24:26 2022  elapsed time 01:27:21 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 71x10^193-26 = 78(192)6
#
n: 39444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 100000000000000000000000000000000000000
deg: 5
c5: 35500
c0: -13
skew: 0.21
# Murphy_E = 1.845e-11
type: snfs
lss: 1
rlim: 12200000
alim: 12200000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 26122763)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2018437 hash collisions in 13858831 relations (12523864 unique)
Msieve: matrix is 1852888 x 1853113 (649.2 MB)

Sieving start time : 2022/12/14 09:19:43
Sieving end time  : 2022/12/14 16:56:36

Total sieving time: 7hrs 36min 53secs.

Total relation processing time: 1hrs 12min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 1sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12200000,12200000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

61098391708338783127949077413227176164634492208828404967417469828400870858638926452185003675737584166659428413720845510811372867261869753289289056035629297113<158>

72656671236752467466857219526591261572120407386690836309<56>
840919225562221004259534285064230379114712308181064131260350517549688315979394090963790257541073597557<102>

Number: n
N=61098391708338783127949077413227176164634492208828404967417469828400870858638926452185003675737584166659428413720845510811372867261869753289289056035629297113  ( 158 digits)
SNFS difficulty: 196 digits.
Divisors found:

Thu Dec 15 22:16:12 2022  p56 factor: 72656671236752467466857219526591261572120407386690836309
Thu Dec 15 22:16:12 2022  p102 factor: 840919225562221004259534285064230379114712308181064131260350517549688315979394090963790257541073597557
Thu Dec 15 22:16:12 2022  elapsed time 01:29:52 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.338).
Factorization parameters were as follows:
#
# N = 71x10^194-26 = 78(193)6
#
n: 61098391708338783127949077413227176164634492208828404967417469828400870858638926452185003675737584166659428413720845510811372867261869753289289056035629297113
m: 500000000000000000000000000000000000000
deg: 5
c5: 568
c0: -65
skew: 0.65
# Murphy_E = 1.638e-11
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 26590073)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2098494 hash collisions in 13921671 relations (12486655 unique)
Msieve: matrix is 2003408 x 2003633 (698.3 MB)

Sieving start time : 2022/12/15 12:04:10
Sieving end time  : 2022/12/15 20:46:00

Total sieving time: 8hrs 41min 50secs.

Total relation processing time: 1hrs 16min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 33sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13100000,13100000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

550208459261325769904372219897397746470141504316424109979696532911765161730289363153081942313355341671703786364129508222129229243192138993505990297732521194649803939802544907859456611025867547<192>

25332471012913321540660144905333460150549507075883033890449721329054270308743909461807927083<92>
21719494279924566244136922748140759391944617711948834009414395352807593915683039506934603338692678609<101>

Number: n
N=550208459261325769904372219897397746470141504316424109979696532911765161730289363153081942313355341671703786364129508222129229243192138993505990297732521194649803939802544907859456611025867547  ( 192 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sat Dec 17 19:40:05 2022  p92 factor: 25332471012913321540660144905333460150549507075883033890449721329054270308743909461807927083
Sat Dec 17 19:40:05 2022  p101 factor: 21719494279924566244136922748140759391944617711948834009414395352807593915683039506934603338692678609
Sat Dec 17 19:40:05 2022  elapsed time 01:06:01 (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 = 71x10^195-26 = 78(194)6
#
n: 550208459261325769904372219897397746470141504316424109979696532911765161730289363153081942313355341671703786364129508222129229243192138993505990297732521194649803939802544907859456611025867547
m: 1000000000000000000000000000000000000000
deg: 5
c5: 71
c0: -26
skew: 0.82
# Murphy_E = 1.694e-11
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 26726093)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2557011 hash collisions in 16016780 relations (14201302 unique)
Msieve: matrix is 1720148 x 1720373 (596.0 MB)

Sieving start time : 2022/12/17 08:56:15
Sieving end time  : 2022/12/17 18:33:42

Total sieving time: 9hrs 37min 27secs.

Total relation processing time: 0hrs 57min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 6sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13400000,13400000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3166757516925627593579981639407530176500702079061946121287151875112503521010637745089525439263388294773957160657378540108192671985731000969143765947467489152985761268034650607227537959231021<190>

203908079301155122748029075541235607720586658863504534248637<60>
15530318993631402268945259919817366555749402243115217112437722777539927298686815145899272942332099110635090068773110845178369898033<131>

Number: n
N=3166757516925627593579981639407530176500702079061946121287151875112503521010637745089525439263388294773957160657378540108192671985731000969143765947467489152985761268034650607227537959231021  ( 190 digits)
SNFS difficulty: 197 digits.
Divisors found:

Mon Dec 19 10:48:05 2022  p60 factor: 203908079301155122748029075541235607720586658863504534248637
Mon Dec 19 10:48:05 2022  p131 factor: 15530318993631402268945259919817366555749402243115217112437722777539927298686815145899272942332099110635090068773110845178369898033
Mon Dec 19 10:48:05 2022  elapsed time 01:26:51 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 71x10^196-26 = 78(195)6
#
n: 3166757516925627593579981639407530176500702079061946121287151875112503521010637745089525439263388294773957160657378540108192671985731000969143765947467489152985761268034650607227537959231021
m: 1000000000000000000000000000000000000000
deg: 5
c5: 355
c0: -13
skew: 0.52
# Murphy_E = 1.655e-11
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 26850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2004622 hash collisions in 13691223 relations (12356987 unique)
Msieve: matrix is 2043935 x 2044160 (715.3 MB)

Sieving start time : 2022/12/19 00:25:50
Sieving end time  : 2022/12/19 09:20:35

Total sieving time: 8hrs 54min 45secs.

Total relation processing time: 1hrs 19min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 2sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13700000,13700000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

713450711018309850853836112492167000966944623485558966763517647279771486135160439468145838321617143456870122220943050230930856490387231271257609324706707407043<159>

3500566430912788685690565222433022472673286339438491519<55>
203810076197375382838011128883720531022810302296596127679333947422917709484452222211537105219194295646397<105>

Number: n
N=713450711018309850853836112492167000966944623485558966763517647279771486135160439468145838321617143456870122220943050230930856490387231271257609324706707407043  ( 159 digits)
SNFS difficulty: 198 digits.
Divisors found:

Fri Jun  2 17:14:03 2023  prp55 factor: 3500566430912788685690565222433022472673286339438491519
Fri Jun  2 17:14:03 2023  prp105 factor: 203810076197375382838011128883720531022810302296596127679333947422917709484452222211537105219194295646397
Fri Jun  2 17:14:03 2023  elapsed time 02:40:52 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
#
# N = 71x10^197-26 = 78(196)6
#
n: 713450711018309850853836112492167000966944623485558966763517647279771486135160439468145838321617143456870122220943050230930856490387231271257609324706707407043
m: 1000000000000000000000000000000000000000
deg: 5
c5: 3550
c0: -13
skew: 0.33
# Murphy_E = 1.429e-11
type: snfs
lss: 1
rlim: 14300000
alim: 14300000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 32798839)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2008882 hash collisions in 14410231 relations (13145927 unique)
Msieve: matrix is 2283246 x 2283472 (647.8 MB)

Sieving start time: 2023/06/01 23:24:27
Sieving end time  : 2023/06/02 14:32:54

Total sieving time: 15hrs 8min 27secs.

Total relation processing time: 2hrs 33min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 19sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14300000,14300000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

702515637327868983408216445494934929375614446972074960032175920074245425157393240128796739372566620131523613241810911117694036725000556676244183398829805423613<159>

52317083118672429958834935015721945941695413694031438714241<59>
13428035269747959923038646829290505081620072530287901569890246353190658413315351359073507852885511293<101>

Number: n
N=702515637327868983408216445494934929375614446972074960032175920074245425157393240128796739372566620131523613241810911117694036725000556676244183398829805423613  ( 159 digits)
SNFS difficulty: 199 digits.
Divisors found:

Thu Jun  1 02:40:14 2023  prp59 factor: 52317083118672429958834935015721945941695413694031438714241
Thu Jun  1 02:40:14 2023  prp101 factor: 13428035269747959923038646829290505081620072530287901569890246353190658413315351359073507852885511293
Thu Jun  1 02:40:14 2023  elapsed time 02:24:16 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
#
# N = 71x10^198-26 = 78(197)6
#
n: 702515637327868983408216445494934929375614446972074960032175920074245425157393240128796739372566620131523613241810911117694036725000556676244183398829805423613
m: 1000000000000000000000000000000000
deg: 6
c6: 71
c0: -26
skew: 0.85
# Murphy_E = 1.381e-11
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 40300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2076282 hash collisions in 14930670 relations (13890440 unique)
Msieve: matrix is 2099362 x 2099587 (602.6 MB)

Sieving start time: 2023/05/31 07:53:11
Sieving end time  : 2023/06/01 00:15:43

Total sieving time: 16hrs 22min 32secs.

Total relation processing time: 2hrs 16min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 11sec.

Prototype def-par.txt line would be:
snfs,199,6,0,0,0,0,0,0,0,0,15000000,15000000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1564033759439993122234141712925488660518304901662537468639820651353958552830333751458053219843528759673845011336812344720429962646281526312806199109297113813<157>

15427579012628022297332662844467793474826739218371011<53>
101379079514664993492491024266093664838167482533047822487226308617298463684707790911999695897648875310983<105>

1564033759439993122234141712925488660518304901662537468639820651353958552830333751458053219843528759673845011336812344720429962646281526312806199109297113813=15427579012628022297332662844467793474826739218371011*101379079514664993492491024266093664838167482533047822487226308617298463684707790911999695897648875310983

cado polynomial
n: 1564033759439993122234141712925488660518304901662537468639820651353958552830333751458053219843528759673845011336812344720429962646281526312806199109297113813
skew: 0.65
type: snfs
c0: -65
c5: 568
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 568*x^5-65
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15800000
tasks.lim1 = 15800000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 101379079514664993492491024266093664838167482533047822487226308617298463684707790911999695897648875310983 15427579012628022297332662844467793474826739218371011
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 3738.46/204.822
Info:HTTP server: Got notification to stop serving Workunits
Info:Square Root: Total cpu/real time for sqrt: 3738.46/204.822
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 169.08/132.792
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 132.6s
Info:Quadratic Characters: Total cpu/real time for characters: 86.98/16.3435
Info:Filtering - Singleton removal: Total cpu/real time for purge: 220.45/149.548
Info:Generate Free Relations: Total cpu/real time for freerel: 138.54/12.4564
Info:Filtering - Merging: Merged matrix has 2949771 rows and total weight 501822395 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 633.3/38.1254
Info:Filtering - Merging: Total cpu/real time for replay: 56.42/49.0956
Info:Generate Factor Base: Total cpu/real time for makefb: 2.34/0.361015
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43732330
Info:Lattice Sieving: Average J: 3790.63 for 1854322 special-q, max bucket fill -bkmult 1.0,1s:1.122590
Info:Lattice Sieving: Total time: 648959s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 452.41/290.64
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 244.0s
Info:Linear Algebra: Total cpu/real time for bwc: 116219/14330.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 76202.52, WCT time 9423.86, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.05, comm-wait 0.0 (92672 iterations)
Info:Linear Algebra: Lingen CPU time 556.99, WCT time 35.91
Info:Linear Algebra: Mksol: CPU time 38762.47,  WCT time 4793.8, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.05, comm-wait 0.0 (46592 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.35688e+06/69199.5
Info:root: Cleaning up computation data in /tmp/cado.7j05mv9q
101379079514664993492491024266093664838167482533047822487226308617298463684707790911999695897648875310983 15427579012628022297332662844467793474826739218371011

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

14461390857462181514741050734699632640516626311766924076552585859812606905593799738183975728957073688051867131897732361786884940632813992689309686507651943111929226268691783<173>

10127372681852791498372671460786312396820659079572071785793974836168306694921753<80>
1427950892275891464620082354244437815133662909925661781816307770204247607041487172058320892511<94>

Number: n
N=14461390857462181514741050734699632640516626311766924076552585859812606905593799738183975728957073688051867131897732361786884940632813992689309686507651943111929226268691783  ( 173 digits)
SNFS difficulty: 202 digits.
Divisors found:

Tue Aug 15 23:35:36 2023  prp80 factor: 10127372681852791498372671460786312396820659079572071785793974836168306694921753
Tue Aug 15 23:35:36 2023  prp94 factor: 1427950892275891464620082354244437815133662909925661781816307770204247607041487172058320892511
Tue Aug 15 23:35:36 2023  elapsed time 03:02:08 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
#
# N = 71x10^201-26 = 78(200)6
#
n: 14461390857462181514741050734699632640516626311766924076552585859812606905593799738183975728957073688051867131897732361786884940632813992689309686507651943111929226268691783
m: 10000000000000000000000000000000000000000
deg: 5
c5: 355
c0: -13
skew: 0.52
# Murphy_E = 1.022e-11
type: snfs
lss: 1
rlim: 16600000
alim: 16600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16600000/16600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 33900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2854617 hash collisions in 16415694 relations (14230436 unique)
Msieve: matrix is 2404970 x 2405195 (681.9 MB)

Sieving start time: 2023/08/15 07:22:40
Sieving end time  : 2023/08/15 20:31:39

Total sieving time: 13hrs 8min 59secs.

Total relation processing time: 2hrs 54min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 55sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16600000,16600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1081797104044075148595157045010044737403952226966425229008584114903791939131033890931742626585133273537035503093881451857809965132207803520760735561<148>

166946478369849936278175157423475026217651180617278725375394440447134398969164280037433632896450858951388007129320034047676152048268694478539147773498304670268948425294977967767572880367564415475703409<201>

418923486739170959771125287291342803513067798620835392637830007791753233408571742351020809851648833<99>
398513054661443973524923597678479304976161754828148131277872927584064718655628142702945443350379284273<102>

Number: n
N=166946478369849936278175157423475026217651180617278725375394440447134398969164280037433632896450858951388007129320034047676152048268694478539147773498304670268948425294977967767572880367564415475703409  ( 201 digits)
SNFS difficulty: 205 digits.
Divisors found:

Wed Nov 29 23:56:02 2023  prp99 factor: 418923486739170959771125287291342803513067798620835392637830007791753233408571742351020809851648833
Wed Nov 29 23:56:02 2023  prp102 factor: 398513054661443973524923597678479304976161754828148131277872927584064718655628142702945443350379284273
Wed Nov 29 23:56:02 2023  elapsed time 02:37:26 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
#
# N = 71x10^204-26 = 78(203)6
#
n: 166946478369849936278175157423475026217651180617278725375394440447134398969164280037433632896450858951388007129320034047676152048268694478539147773498304670268948425294977967767572880367564415475703409
m: 10000000000000000000000000000000000
deg: 6
c6: 71
c0: -26
skew: 0.85
# Murphy_E = 8.762e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3678576 hash collisions in 20746458 relations (17757020 unique)
Msieve: matrix is 2218893 x 2219118 (631.7 MB)

Sieving start time: 2023/11/28 23:56:45
Sieving end time  : 2023/11/29 21:18:10

Total sieving time: 21hrs 21min 25secs.

Total relation processing time: 2hrs 28min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 18sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18900000,18900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

84881524520000956411543887334720130071969968677521937689787915740142983525811156540659445759510317289529684623293403151376037108767902828587141046792434784687851182363771130717547760801472873777586495469<203>

36093874825038154580860612078913372443299832783346790975889787859068272548999952448366473447413803383431796810399476837119188585723095723692334374268150153803<158>

5812866779860987845082098123850472219<37>
6209307075484245613138006969572466970711484199419826078703788449593946552157189903995467376629831545603768976149901064337<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1565770250
Step 1 took 7928ms
Step 2 took 4073ms
********** Factor found in step 2: 5812866779860987845082098123850472219
Found prime factor of 37 digits: 5812866779860987845082098123850472219
Prime cofactor 6209307075484245613138006969572466970711484199419826078703788449593946552157189903995467376629831545603768976149901064337 has 121 digits

13840495887423355817316370733472206139955874159872152805312567131278468048143092793312272387197034469072729661586229993173321605949775764472967562166244239137257562271509982506392944544057027521533667298651<206>

434155340421998248063496075401534976896882966363272211671120163620381909847193943433130816339443198797683128160859120613755566899663847400419671626025703563314857034450715249301007522596600017919<195>

124380022130321464327623082778636961630378886664971265637916886053766863971465793997231449835458849937568550245718995685496523428539028205618153121905038215233110747673357979306767844212852477167257121<201>

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11411166625235352227937522118050300322990904090474075502225909408731813026289423206818826257046034649393798262099535266146820729687<131>

50157273584558256266150863534501990448682638847136817291<56>
227507713432583146549605478056561849696726647979936125911507162284081565157<75>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3756735929
Step 1 took 16250ms
********** Factor found in step 1: 50157273584558256266150863534501990448682638847136817291
Found prime factor of 56 digits: 50157273584558256266150863534501990448682638847136817291
Prime cofactor 227507713432583146549605478056561849696726647979936125911507162284081565157 has 75 digits
 

GMP-ECM

723016406967126464551478990885479409502203046979856425019017220510890248580509169282158661377379245187192967124011998359920987765006992341570094490445996737859544391634776179763045433758140360513988714007574471<210>

5644000053003927488466109729701880050752227738279747336516972705863455138625816300995185333385731912033895527917661225349328662577865089923936259102081293155065353376156048239733861041<184>

354089615040772004285271338820957862555577622350459386863666864887549094972838458027721535782869806281262460823813476358991133964233649612591755539720432065729698851601824221891<177>

14037168841439304072756030051403716884143930407275603005140371688414393040727560300514037168841439304072756030051403716884143930407275603005140371688414393040727560300514037168841439304072756030051403716884143930407275603<221>

20229084941037101051641331920132300976329754561015352879055519378461050782974709118657472956030688408181482738887375408852410555530262277432260249321931466754191879392780340749824653767125719611012009<200>

3857085112830296602164374008327474653008085703336273320260526567417071543622287260553984389861072948184887971207182559826836807260919188706242270242222933<154>

6099866268678999500359538659920899890963934342232395808994925970721531965323672283585757355142637689591209069980891204047696450755055648673853277604347428745026383266316054506017569004011718448317<196>

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4623590166017338556580368221408522375598399832868157090621920439201117505912803388584642778353499090345871089959354585465574820013208252634639129163657728474604483850866682627809797583156903611253463326889647369<211>

54332709061187532985977917379702826824070262154002261776037631155902078260267761081773707074203595765282060535822294578950143386711889215769921521623204896733388364723023860817164667287<185>

8241885799917599936841422026639379<34>

6592266670539251608653512312036113230273963786126403074112998252932155478448725686882958664428031844060483875900839169219030141146202164129022727663853<151>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2777419649
Step 1 took 9178ms
********** Factor found in step 1: 8241885799917599936841422026639379
Found prime factor of 34 digits: 8241885799917599936841422026639379
Composite cofactor 6592266670539251608653512312036113230273963786126403074112998252932155478448725686882958664428031844060483875900839169219030141146202164129022727663853 has 151 digits

6592266670539251608653512312036113230273963786126403074112998252932155478448725686882958664428031844060483875900839169219030141146202164129022727663853<151>

3331519528057347867008127980135056087100829125617<49>
1978756724978072567716322548043500063851562441365344116321494822773837697509398259194593789225269534909<103>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3603079734
Step 1 took 20843ms
Step 2 took 9282ms
********** Factor found in step 2: 3331519528057347867008127980135056087100829125617
Found prime factor of 49 digits: 3331519528057347867008127980135056087100829125617
Prime cofactor 1978756724978072567716322548043500063851562441365344116321494822773837697509398259194593789225269534909 has 103 digits
 

GMP-ECM

9038754257834151351288677819814386297010700107724291573691236128902692321270615184581579900203937707957943020909041651761891702822093688258023549066826187993489491766784322348296709051513613628888502743784475643717886891834495419403237<235>

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155236287164191275381009096518643304121569275849677077419539658834653689723580686093991472043514032302631471926023841433072134064502435452239103815364716706315960246267<168>

1261659410951278178368681740626367764631895680891239829632775134806665421290476868668096458291297568493792059999746049404755605518923335187085606536423148493767024536451523118189798914835165262389386799693060036577097213<220>

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39444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<266>

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597871441048116618713601504150186257<36>
936141732797186293826668470950311467366875846720358009777713160687674227825679094957538306992265731252740478815867523222872905237<129>

C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:1553903699 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 559692406812734705054492115953056810536018857784159115125153512513648502993541607770374577878588475832470408175966259297580905898322958103178896364676534872260727909 (165 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1553903699
Step 1 took 9860ms
********** Factor found in step 1: 597871441048116618713601504150186257
Found probable prime factor of 36 digits: 597871441048116618713601504150186257
Probable prime cofactor 936141732797186293826668470950311467366875846720358009777713160687674227825679094957538306992265731252740478815867523222872905237 has 129 digits

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