7499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<124>

4395683445509827901905175470002450748563336820259873822893<58>
1706219315601813493677692025840976846642004137617772068045035009243<67>

N=7499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
  ( 124 digits)
SNFS difficulty: 124 digits.
Divisors found:
p58 factor: 4395683445509827901905175470002450748563336820259873822893
p67 factor: 1706219315601813493677692025840976846642004137617772068045035009243
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.91 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 7499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 10000000000000000000000000000000
deg: 4
c4: 3
c0: -4
skew: 1.07
# Murphy_E = 2.736e-08
type: snfs
lss: 1
rlim: 830000
alim: 830000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 830000/830000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [415000, 940001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 76744 x 76969
Total sieving time: 1.89 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,124.000,4,0,0,0,0,0,0,0,0,830000,830000,25,25,46,46,2.2,2.2,75000
total time: 1.91 hours.
 --------- CPU info (if available) ----------

171146235028409175429216496300121683657712432277123424840704679006207932725419556441705992525449297482024284901101<114>

3981661653918599930854142788305723281568377421447060887<55>
42983620886012140583926470606497345956751320907987587076123<59>

N=171146235028409175429216496300121683657712432277123424840704679006207932725419556441705992525449297482024284901101
  ( 114 digits)
SNFS difficulty: 128 digits.
Divisors found:
p55 factor: 3981661653918599930854142788305723281568377421447060887
p59 factor: 42983620886012140583926470606497345956751320907987587076123
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.49 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 171146235028409175429216496300121683657712432277123424840704679006207932725419556441705992525449297482024284901101
m: 100000000000000000000000000000000
deg: 4
c4: 3
c0: -4
skew: 1.07
# Murphy_E = 1.753e-08
type: snfs
lss: 1
rlim: 970000
alim: 970000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 970000/970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [485000, 860001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 123140 x 123365
Total sieving time: 1.45 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,128.000,4,0,0,0,0,0,0,0,0,970000,970000,26,26,47,47,2.3,2.3,75000
total time: 1.49 hours.
 --------- CPU info (if available) ----------

592724271394478337592267783935096621873898273781152183477027177780093516920765787203935295353603<96>

4600751018344534884664503383654747<34>
128832068727717270192010712515346665277265192074987887598493049<63>

Mon May 30 23:36:23 2022  Msieve v. 1.53 (SVN unknown)
Mon May 30 23:36:23 2022  random seeds: 125d9470 5ca29587
Mon May 30 23:36:23 2022  factoring 592724271394478337592267783935096621873898273781152183477027177780093516920765787203935295353603 (96 digits)
Mon May 30 23:36:24 2022  searching for 15-digit factors
Mon May 30 23:36:24 2022  commencing number field sieve (96-digit input)
Mon May 30 23:36:24 2022  R0: -9743533128166244149244
Mon May 30 23:36:24 2022  R1: 1
Mon May 30 23:36:24 2022  A0: 166207533079751583633675
Mon May 30 23:36:24 2022  A1: -310128417097300626
Mon May 30 23:36:24 2022  A2: -928397121548385173
Mon May 30 23:36:24 2022  A3: -76473342148
Mon May 30 23:36:24 2022  A4: 65763792
Mon May 30 23:36:24 2022  skew 1635.25, size 5.509e-14, alpha -3.979, combined = 6.541e-09 rroots = 4
Mon May 30 23:36:24 2022  
Mon May 30 23:36:24 2022  commencing square root phase
Mon May 30 23:36:24 2022  reading relations for dependency 1
Mon May 30 23:36:25 2022  read 95161 cycles
Mon May 30 23:36:25 2022  cycles contain 311812 unique relations
Mon May 30 23:36:29 2022  read 311812 relations
Mon May 30 23:36:30 2022  multiplying 311812 relations
Mon May 30 23:36:39 2022  multiply complete, coefficients have about 17.34 million bits
Mon May 30 23:36:39 2022  initial square root is modulo 95869
Mon May 30 23:36:54 2022  sqrtTime: 30
Mon May 30 23:36:54 2022  p34 factor: 4600751018344534884664503383654747
Mon May 30 23:36:54 2022  p63 factor: 128832068727717270192010712515346665277265192074987887598493049
Mon May 30 23:36:54 2022  elapsed time 00:00:31

1598041699408439676286478126426582278950029978551537802235485708732750170344851415713339846241748440538093014859078522605361<124>

870341668012184724943724222278928436671<39>
174136100611818700562740158182686975280363<42>
10544100006731052712227852790638236478190957<44>

fac: factoring 29999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999996
fac: using pretesting plan: normal
fac: no tune info: using qs/gnfs crossover of 95 digits
div: primes less than 10000
fmt: 1000000 iterations
rho: x^2 + 3, starting 1000 iterations on C140
rho: x^2 + 2, starting 1000 iterations on C140
rho: x^2 + 2, starting 1000 iterations on C133
rho: x^2 + 1, starting 1000 iterations on C133
pm1: starting B1 = 150K, B2 = gmp-ecm default on C133
ecm: 30/30 curves on C124, B1=2K, B2=gmp-ecm default
ecm: 74/74 curves on C124, B1=11K, B2=gmp-ecm default
ecm: 214/214 curves on C124, B1=50K, B2=gmp-ecm default, ETA: 0 sec
pm1: starting B1 = 3750K, B2 = gmp-ecm default on C124
ecm: 430/430 curves on C124, B1=250K, B2=gmp-ecm default, ETA: 0 sec
pm1: starting B1 = 15M, B2 = gmp-ecm default on C124
ecm: 793/904 curves on C124, B1=1M, B2=gmp-ecm default, ETA: 3.5 min

starting SIQS on c81: 151557904267627908850095506048273101803819758180831025664693930485691273515391573

==== sieving in progress (1 thread):   48912 relations needed ====
====           Press ctrl-c to abort and save state           ====
48938 rels found: 21366 full + 27572 from 328588 partial, (2661.24 rels/sec)

failure to equate relation
Q = 1927862682744273310353908129122494823575698073573064741808671225367998567763327320, RHS = 225542845621850353539617022098592693271016412559078243285482414797287584086360
failure to equate relation
Q = 734433040353105934735612777534816054984028412623375835853063437479501639477068152, RHS = 598766035092059518635870316190214780904199137290170490039273345562024804057464
failure to equate relation
Q = 734433040353105934735612777534816054984028412623375835853063437479501639477068152, RHS = 598766035092059518635870316190214780904199137290170490039273345562024804057464
SIQS elapsed time = 133.6717 seconds.
Total factoring time = 1876.5072 seconds


***factors found***

P1 = 2
P1 = 2
P2 = 13
P4 = 7237
P8 = 14544701
P10 = 3429781339
P44 = 10544100006731052712227852790638236478190957
P42 = 174136100611818700562740158182686975280363
P39 = 870341668012184724943724222278928436671

Yafu-1.34

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

33995946987695357252852132477680544637034416400253823931903717077745448021042808125038458296021434621667187520609<113>

133993012005910150069547823255134057049298272893621783<54>
253714327924771685108640321236517690610222938667295651761223<60>

33995946987695357252852132477680544637034416400253823931903717077745448021042808125038458296021434621667187520609=133993012005910150069547823255134057049298272893621783*253714327924771685108640321236517690610222938667295651761223

cado polynomial
n: 33995946987695357252852132477680544637034416400253823931903717077745448021042808125038458296021434621667187520609
skew: 0.27
type: snfs
c0: -1
c5: 750
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 750*x^5-1
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2000000
tasks.lim1 = 2000000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 133993012005910150069547823255134057049298272893621783 253714327924771685108640321236517690610222938667295651761223
Info:Square Root: Total cpu/real time for sqrt: 40.19/30.1884
Info:Filtering - Singleton removal: Total cpu/real time for purge: 40.09/57.6667
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6088754
Info:Lattice Sieving: Average J: 1893.19 for 86900 special-q, max bucket fill -bkmult 1.0,1s:1.254630
Info:Lattice Sieving: Total time: 16771.6s
Info:Linear Algebra: Total cpu/real time for bwc: 645.15/557.87
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 342.03, WCT time 295.42, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6656 iterations)
Info:Linear Algebra: Lingen CPU time 96.78, WCT time 67.22
Info:Linear Algebra: Mksol: CPU time 187.7,  WCT time 178.9, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3328 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 30.67/21.3858
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.78/38.1379
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 38.0s
Info:Filtering - Merging: Merged matrix has 209589 rows and total weight 35752273 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 45.9/35.1519
Info:Filtering - Merging: Total cpu/real time for replay: 7.25/7.70933
Info:Generate Factor Base: Total cpu/real time for makefb: 0.91/1.22773
Info:Quadratic Characters: Total cpu/real time for characters: 6.89/5.54991
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.24/76.7712
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 70.7s
Info:Square Root: Total cpu/real time for sqrt: 40.19/30.1884
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 16721.3/9477.25
Info:root: Cleaning up computation data in /tmp/cado.8nzed6di
133993012005910150069547823255134057049298272893621783 253714327924771685108640321236517690610222938667295651761223

cado-nfs-3.0.0

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

16264575730750862337391678592762221768123381870042706468598682565910097592753480747951511514131546486208344154077941208576660876694463<134>

10583720140465890605036682271957465701716251142922000693582793<62>
1536754138893444231021587291912573602429668555283207926069015510649317191<73>

Number: n
N=16264575730750862337391678592762221768123381870042706468598682565910097592753480747951511514131546486208344154077941208576660876694463  ( 134 digits)
SNFS difficulty: 150 digits.
Divisors found:

Thu Jun  2 21:52:26 2022  p62 factor: 10583720140465890605036682271957465701716251142922000693582793
Thu Jun  2 21:52:26 2022  p73 factor: 1536754138893444231021587291912573602429668555283207926069015510649317191
Thu Jun  2 21:52:26 2022  elapsed time 00:04:56 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 3x10^150-4 = 29(149)6
#
n: 16264575730750862337391678592762221768123381870042706468598682565910097592753480747951511514131546486208344154077941208576660876694463
m: 1000000000000000000000000000000
deg: 5
c5: 3
c0: -4
skew: 1.06
# Murphy_E = 1.874e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 947808 hash collisions in 13049196 relations (12983953 unique)
Msieve: matrix is 341879 x 342127 (70.2 MB)

Sieving start time : 2022/06/02 21:25:47
Sieving end time  : 2022/06/02 21:47:14

Total sieving time: 0hrs 21min 27secs.

Total relation processing time: 0hrs 1min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 34sec.

Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

95762423585489659854945794614099521240160513328767819193265963725241234623680751597491651641743378338732661<107>

1352512476539367270782615465468845437382969<43>
70803356898055442767386465146724894039935682805119537652352106269<65>

95762423585489659854945794614099521240160513328767819193265963725241234623680751597491651641743378338732661=1352512476539367270782615465468845437382969*70803356898055442767386465146724894039935682805119537652352106269

cado polynomial
n: 95762423585489659854945794614099521240160513328767819193265963725241234623680751597491651641743378338732661
skew: 11111.931
c0: 331457269966883340112112
c1: -209194317904997716742
c2: -3992647515991627
c3: 2281827718641
c4: 49153545
c5: 2700
Y0: -692386386741201820233
Y1: 3527698509942971
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.721e-06
# f(x) = 2700*x^5+49153545*x^4+2281827718641*x^3-3992647515991627*x^2-209194317904997716742*x+331457269966883340112112
# g(x) = 3527698509942971*x-692386386741201820233

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 70803356898055442767386465146724894039935682805119537652352106269 1352512476539367270782615465468845437382969
Info:Square Root: Total cpu/real time for sqrt: 64.94/50.4131
Info:Filtering - Singleton removal: Total cpu/real time for purge: 50.74/83.5421
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5135606
Info:Lattice Sieving: Average J: 1900.15 for 65395 special-q, max bucket fill -bkmult 1.0,1s:1.279810
Info:Lattice Sieving: Total time: 12005.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.52/1.38028
Info:Linear Algebra: Total cpu/real time for bwc: 886.05/871.28
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 400.28, WCT time 405.36, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7424 iterations)
Info:Linear Algebra: Lingen CPU time 242.53, WCT time 216.17
Info:Linear Algebra: Mksol: CPU time 224.79,  WCT time 232.16, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3712 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.27/37.0458
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 36.00s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 172.67
Info:Polynomial Selection (root optimized): Rootsieve time: 172.02
Info:Filtering - Merging: Merged matrix has 236574 rows and total weight 34570145 (146.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 33.04/26.9168
Info:Filtering - Merging: Total cpu/real time for replay: 8.12/9.01652
Info:Quadratic Characters: Total cpu/real time for characters: 9/7.48747
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9960/31.480/37.943/42.950/1.080
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7775/30.180/33.648/38.400/0.890
Info:Polynomial Selection (size optimized): Total time: 485.28
Info:Generate Free Relations: Total cpu/real time for freerel: 62.49/49.1275
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 76.28/127.045
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 97.6s
Info:Square Root: Total cpu/real time for sqrt: 64.94/50.4131
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12428.1/7461.78
Info:root: Cleaning up computation data in /tmp/cado.54fek5xi
70803356898055442767386465146724894039935682805119537652352106269 1352512476539367270782615465468845437382969

cado-nfs-3.0.0

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

2027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027<151>

26098888682662935426157624865493826251283639607<47>
2201433491346110900509541688248616254658981665351<49>
35280274457335387284161425962549839176012795112563384211<56>

Number: n
N=2027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027  ( 151 digits)
SNFS difficulty: 151 digits.
Divisors found:

Tue May 31 13:17:30 2022  found factor: 35280274457335387284161425962549839176012795112563384211
Tue May 31 13:17:56 2022  found factor: 35280274457335387284161425962549839176012795112563384211
Tue May 31 13:18:09 2022  p47 factor: 26098888682662935426157624865493826251283639607
Tue May 31 13:18:09 2022  p49 factor: 2201433491346110900509541688248616254658981665351
Tue May 31 13:18:09 2022  p56 factor: 35280274457335387284161425962549839176012795112563384211
Tue May 31 13:18:09 2022  elapsed time 00:05:41 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 3x10^152-4 = 29(151)6
#
n: 2027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027
m: 1000000000000000000000000000000
deg: 5
c5: 75
c0: -1
skew: 0.42
# Murphy_E = 1.516e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1382217 hash collisions in 14882249 relations (14476469 unique)
Msieve: matrix is 478178 x 478413 (58.8 MB)

Sieving start time : 2022/05/31 12:45:17
Sieving end time  : 2022/05/31 13:06:30

Total sieving time: 0hrs 21min 13secs.

Total relation processing time: 0hrs 1min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 51sec.

Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

5541362686998752733693125489116717358190047081488411421526239413679498678788822860516281043227869<97>

434344568635698562213922504990284530510920910733<48>
12757987752453066853401694249527866548432021390993<50>

5541362686998752733693125489116717358190047081488411421526239413679498678788822860516281043227869=434344568635698562213922504990284530510920910733*12757987752453066853401694249527866548432021390993

cado polynomial
n: 5541362686998752733693125489116717358190047081488411421526239413679498678788822860516281043227869
skew: 964506.329
c0: -706315572954984728466105787
c1: -1777240086025677007618
c2: 168668070508422
c3: -1453872127
c4: 1260
Y0: -274943301792251563188452
Y1: 53442356001229891
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=4.194e+11) = 7.472e-06
# f(x) = 1260*x^4-1453872127*x^3+168668070508422*x^2-1777240086025677007618*x-706315572954984728466105787
# g(x) = 53442356001229891*x-274943301792251563188452

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

cado log (extracts)
Info:Square Root: Factors: 12757987752453066853401694249527866548432021390993 434344568635698562213922504990284530510920910733
Info:Square Root: Total cpu/real time for sqrt: 29.58/22.9611
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 7181.67
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 7119/32.140/37.366/45.860/1.386
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 4699/31.260/35.438/39.000/1.199
Info:Polynomial Selection (size optimized): Total time: 125.73
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 32.2/55.4305
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 41.500000000000014s
Info:Quadratic Characters: Total cpu/real time for characters: 5.13/2.2171
Info:Square Root: Total cpu/real time for sqrt: 29.58/22.9611
Info:Linear Algebra: Total cpu/real time for bwc: 299.92/247.26
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 132.35, WCT time 130.48, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (4608 iterations)
Info:Linear Algebra: Lingen CPU time 83.77, WCT time 70.66
Info:Linear Algebra: Mksol: CPU time 72.98,  WCT time 35.92, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2304 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 22.5/37.2435
Info:Generate Free Relations: Total cpu/real time for freerel: 24.02/16.7176
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2740782
Info:Lattice Sieving: Average J: 1018.3 for 57400 special-q, max bucket fill -bkmult 1.0,1s:1.366620
Info:Lattice Sieving: Total time: 4363.44s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.61/0.501881
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 10.42/17.7838
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 16.8s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 53.41
Info:Polynomial Selection (root optimized): Rootsieve time: 53.01
Info:Filtering - Merging: Merged matrix has 143538 rows and total weight 20973754 (146.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 22.71/18.4488
Info:Filtering - Merging: Total cpu/real time for replay: 4.78/5.20568
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4402.79/2697.94
Info:root: Cleaning up computation data in /tmp/cado.hajmpfwi
12757987752453066853401694249527866548432021390993 434344568635698562213922504990284530510920910733

cado-nfs-3.0.0

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

502610222421777095717090758003230108362763954135141836604767425496411363011908511536579971987856937026289865367475087286641960581955622868094973227628819<153>

3072030104652737965807978456070922189112091<43>
163608495131785863324946215261459967475158708930531196044383463431275371511895351441895929263311637624721820009<111>

Number: n
N=502610222421777095717090758003230108362763954135141836604767425496411363011908511536579971987856937026289865367475087286641960581955622868094973227628819  ( 153 digits)
SNFS difficulty: 157 digits.
Divisors found:

Tue May 31 06:11:15 2022  p43 factor: 3072030104652737965807978456070922189112091
Tue May 31 06:11:15 2022  p111 factor: 163608495131785863324946215261459967475158708930531196044383463431275371511895351441895929263311637624721820009
Tue May 31 06:11:15 2022  elapsed time 00:06:10 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 3x10^158-4 = 29(157)6
#
n: 502610222421777095717090758003230108362763954135141836604767425496411363011908511536579971987856937026289865367475087286641960581955622868094973227628819
m: 10000000000000000000000000000000
deg: 5
c5: 750
c0: -1
skew: 0.27
# Murphy_E = 8.227e-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 1539774 hash collisions in 15144449 relations (14574610 unique)
Msieve: matrix is 358935 x 359163 (119.1 MB)

Sieving start time : 2022/05/31 05:38:31
Sieving end time  : 2022/05/31 06:04:48

Total sieving time: 0hrs 26min 17secs.

Total relation processing time: 0hrs 2min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 35sec.

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) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

6142834073479412561641359676681889321286983810249342462687933648113847645965543729506258620042736574181236206857889399244120884493<130>

1545556202753853653090452383574112653<37>
3974513552165999461392288273431710739984660230130681243024201689405557735343703481580464593281<94>

6142834073479412561641359676681889321286983810249342462687933648113847645965543729506258620042736574181236206857889399244120884493=1545556202753853653090452383574112653*3974513552165999461392288273431710739984660230130681243024201689405557735343703481580464593281

cado polynomial
n: 6142834073479412561641359676681889321286983810249342462687933648113847645965543729506258620042736574181236206857889399244120884493
skew: 0.84
type: snfs
c0: -5
c5: 12
Y0: 50000000000000000000000000000000
Y1: -1
# f(x) = 12*x^5-5
# g(x) = -x+50000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 3974513552165999461392288273431710739984660230130681243024201689405557735343703481580464593281 1545556202753853653090452383574112653
Info:Square Root: Total cpu/real time for sqrt: 50.98/16.8642
Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.86/79.4143
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11656305
Info:Lattice Sieving: Average J: 1892.83 for 210448 special-q, max bucket fill -bkmult 1.0,1s:1.250960
Info:Lattice Sieving: Total time: 36873.4s
Info:Linear Algebra: Total cpu/real time for bwc: 1437.67/371.17
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 880.5, WCT time 224.7, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9856 iterations)
Info:Linear Algebra: Lingen CPU time 46.82, WCT time 11.94
Info:Linear Algebra: Mksol: CPU time 481.51,  WCT time 123.0, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4992 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 60.41/89.459
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.89/47.7117
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.6s
Info:Filtering - Merging: Merged matrix has 313860 rows and total weight 53528141 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 64.32/17.9462
Info:Filtering - Merging: Total cpu/real time for replay: 9.65/8.07778
Info:Generate Factor Base: Total cpu/real time for makefb: 1.41/2.4754
Info:Quadratic Characters: Total cpu/real time for characters: 9.76/3.82633
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 99.9/87.1294
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 75.2s
Info:Square Root: Total cpu/real time for sqrt: 50.98/16.8642
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 50492.2/19286.7
Info:root: Cleaning up computation data in /tmp/cado.f6jg2ltv
3974513552165999461392288273431710739984660230130681243024201689405557735343703481580464593281 1545556202753853653090452383574112653

cado-nfs-3.0.0

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

37437478196835618611446804230969734041282653778545143590050292263772894152720915836318320399908461243469738325889764013722797867908519<134>

5973805994180830985779040155066255447166317<43>
6266939072561779923303326798196363534842499715529529563912918812190539558366763732267527907<91>

Number: n
N=37437478196835618611446804230969734041282653778545143590050292263772894152720915836318320399908461243469738325889764013722797867908519( 134 digits)
SNFS difficulty: 161 digits.
Divisors found:

Thu Jun  2 21:24:04 2022  p43 factor: 5973805994180830985779040155066255447166317
Thu Jun  2 21:24:04 2022  p91 factor: 6266939072561779923303326798196363534842499715529529563912918812190539558366763732267527907
Thu Jun  2 21:24:04 2022  elapsed time 00:07:59 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 3x10^161-4 = 29(160)6
#
n: 37437478196835618611446804230969734041282653778545143590050292263772894152720915836318320399908461243469738325889764013722797867908519
m: 100000000000000000000000000000000
deg: 5
c5: 15
c0: -2
skew: 0.67
# Murphy_E = 5.761e-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, 21700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 854941 hash collisions in 11703451 relations (11628417 unique)
Msieve: matrix is 537391 x 537616 (183.8 MB)

Sieving start time : 2022/06/02 19:06:12
Sieving end time  : 2022/06/02 21:15:25

Total sieving time: 2hrs 9min 13secs.

Total relation processing time: 0hrs 4min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 58sec.

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

10690634104087034062514761236313382092815846858741428401156561554980091645582907472514541737841911261799799470275379895957180826443<131>

853380677223860736256460876038419742427<39>
12527391806977418717944137923620082256936092309502812826146740386319586535601693875951689809<92>

10690634104087034062514761236313382092815846858741428401156561554980091645582907472514541737841911261799799470275379895957180826443=853380677223860736256460876038419742427*12527391806977418717944137923620082256936092309502812826146740386319586535601693875951689809

cado polynomial
n: 10690634104087034062514761236313382092815846858741428401156561554980091645582907472514541737841911261799799470275379895957180826443
skew: 0.84
type: snfs
c0: -5
c5: 12
Y0: 500000000000000000000000000000000
Y1: -1
# f(x) = 12*x^5-5
# g(x) = -x+500000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3900000
tasks.lim1 = 3900000
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: 853380677223860736256460876038419742427 12527391806977418717944137923620082256936092309502812826146740386319586535601693875951689809
Info:Square Root: Total cpu/real time for sqrt: 80.63/61.0714
Info:Filtering - Singleton removal: Total cpu/real time for purge: 74.22/109.53
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11640433
Info:Lattice Sieving: Average J: 1893.64 for 253214 special-q, max bucket fill -bkmult 1.0,1s:1.223570
Info:Lattice Sieving: Total time: 63487.1s
Info:Linear Algebra: Total cpu/real time for bwc: 3416.16/2765.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1793.86, WCT time 1421.06, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (13824 iterations)
Info:Linear Algebra: Lingen CPU time 603.53, WCT time 518.05
Info:Linear Algebra: Mksol: CPU time 974.72,  WCT time 793.43, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6912 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.77/39.4926
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.66/80.0156
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 79.8s
Info:Filtering - Merging: Merged matrix has 439586 rows and total weight 74955338 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 97.43/77.2342
Info:Filtering - Merging: Total cpu/real time for replay: 16.36/19.0229
Info:Generate Factor Base: Total cpu/real time for makefb: 1.68/2.19381
Info:Quadratic Characters: Total cpu/real time for characters: 14.63/12.0017
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 107.6/158.917
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 148.4s
Info:Square Root: Total cpu/real time for sqrt: 80.63/61.0714
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 63940.1/35359.1
Info:root: Cleaning up computation data in /tmp/cado.3epaesaa
853380677223860736256460876038419742427 12527391806977418717944137923620082256936092309502812826146740386319586535601693875951689809

cado-nfs-3.0.0

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

589049799840878014069650819132651658724966365256429085865396622938227525590286804420543857899197085852830227208288794623467586945713955846397803394026406709827<159>

155767319093711082164592477710121944203494859<45>
3781600680220349186415944366276497347129171827852593279010608690837447596146635545140873380760445965599962957659753<115>

Number: n
N=589049799840878014069650819132651658724966365256429085865396622938227525590286804420543857899197085852830227208288794623467586945713955846397803394026406709827  ( 159 digits)
SNFS difficulty: 165 digits.
Divisors found:

Wed Jun  1 03:38:24 2022  p45 factor: 155767319093711082164592477710121944203494859
Wed Jun  1 03:38:24 2022  p115 factor: 3781600680220349186415944366276497347129171827852593279010608690837447596146635545140873380760445965599962957659753
Wed Jun  1 03:38:24 2022  elapsed time 00:07:29 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 3x10^165-4 = 29(164)6
#
n: 589049799840878014069650819132651658724966365256429085865396622938227525590286804420543857899197085852830227208288794623467586945713955846397803394026406709827
m: 1000000000000000000000000000000000
deg: 5
c5: 3
c0: -4
skew: 1.06
# Murphy_E = 4.93e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1437706 hash collisions in 14354624 relations (13826969 unique)
Msieve: matrix is 487560 x 487785 (165.9 MB)

Sieving start time : 2022/06/01 02:57:47
Sieving end time  : 2022/06/01 03:30:38

Total sieving time: 0hrs 32min 51secs.

Total relation processing time: 0hrs 3min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 22sec.

Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

5543780252475751568132207836446811183511213980125583335460389511895703527838297446966770852939394519<100>

31605189612387610801074042632932802820443579<44>
175407277110682939475513355764860336090096965387775987861<57>

5543780252475751568132207836446811183511213980125583335460389511895703527838297446966770852939394519=31605189612387610801074042632932802820443579*175407277110682939475513355764860336090096965387775987861

cado polynomial
n: 5543780252475751568132207836446811183511213980125583335460389511895703527838297446966770852939394519
skew: 633618.618
c0: 2630099299395831879588545649
c1: 18168704218426809272272
c2: -23905523330842627
c3: -25655385390
c4: 30960
Y0: -856117963105202711494346
Y1: 19335596695427
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 2.567e-06
# f(x) = 30960*x^4-25655385390*x^3-23905523330842627*x^2+18168704218426809272272*x+2630099299395831879588545649
# g(x) = 19335596695427*x-856117963105202711494346

cado parameters (extracts)
tasks.lim0 = 919082
tasks.lim1 = 1051872
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 50
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 31605189612387610801074042632932802820443579 175407277110682939475513355764860336090096965387775987861
Info:Square Root: Total cpu/real time for sqrt: 40.86/29.2806
Info:Quadratic Characters: Total cpu/real time for characters: 6.45/4.89654
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 19.42/30.0031
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 25.0s
Info:Square Root: Total cpu/real time for sqrt: 40.86/29.2806
Info:Linear Algebra: Total cpu/real time for bwc: 590.07/537.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 299.13, WCT time 278.32, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5888 iterations)
Info:Linear Algebra: Lingen CPU time 108.45, WCT time 85.16
Info:Linear Algebra: Mksol: CPU time 165.23,  WCT time 158.53, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2944 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 9.38/15.6856
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2387436
Info:Lattice Sieving: Average J: 1024 for 81421 special-q, max bucket fill -bkmult 1.0,1s:1.314450
Info:Lattice Sieving: Total time: 5251.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.76/0.533806
Info:Generate Free Relations: Total cpu/real time for freerel: 24.13/19.6084
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.21/15.977
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 15.8s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 67.37
Info:Polynomial Selection (root optimized): Rootsieve time: 66.98
Info:Filtering - Merging: Merged matrix has 187464 rows and total weight 31922850 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 41.84/30.5585
Info:Filtering - Merging: Total cpu/real time for replay: 6.79/7.52551
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 6006/32.870/38.055/38.900/0.703
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3456/33.370/36.557/38.890/0.973
Info:Polynomial Selection (size optimized): Total time: 105.4
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 6469.78/3499.4
Info:root: Cleaning up computation data in /tmp/cado.l6r6nl7z
31605189612387610801074042632932802820443579 175407277110682939475513355764860336090096965387775987861

cado-nfs-3.0.0

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

749999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<168>

24412739482487143548916793279794008161447<41>
30721664831512420231763353134225581991357934463368133949725352721115049113431987697296035848419633967552398152167455145166378217<128>

Number: n
N=749999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999  ( 168 digits)
SNFS difficulty: 167 digits.
Divisors found:

Fri Jun  3 18:26:46 2022  p41 factor: 24412739482487143548916793279794008161447
Fri Jun  3 18:26:46 2022  p128 factor: 30721664831512420231763353134225581991357934463368133949725352721115049113431987697296035848419633967552398152167455145166378217
Fri Jun  3 18:26:46 2022  elapsed time 00:08:34 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.309).
Factorization parameters were as follows:
#
# N = 3x10^168-4 = 29(167)6
#
n: 749999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 1000000000000000000000000000000000
deg: 5
c5: 750
c0: -1
skew: 0.27
# Murphy_E = 3.352e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1252192 hash collisions in 12356334 relations (11855466 unique)
Msieve: matrix is 571851 x 572076 (197.3 MB)

Sieving start time : 2022/06/03 17:41:00
Sieving end time  : 2022/06/03 18:17:57

Total sieving time: 0hrs 36min 57secs.

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

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

124333984909173120530225362127994519994535206383813404780791252096890583260122858190241895199258779799169680076240008071298120093191405172251001330793058503912667<162>

36030179936723825625566215135868772197068367<44>
92560384896937168678862774205980742148401409<44>
37281919992833594508496316787529970010633155440575979707172570667607057589<74>

Number: n
N=124333984909173120530225362127994519994535206383813404780791252096890583260122858190241895199258779799169680076240008071298120093191405172251001330793058503912667  ( 162 digits)
SNFS difficulty: 170 digits.
Divisors found:

Fri Jun  3 23:13:56 2022  found factor: 36030179936723825625566215135868772197068367
Fri Jun  3 23:15:11 2022  p44 factor: 36030179936723825625566215135868772197068367
Fri Jun  3 23:15:11 2022  p44 factor: 92560384896937168678862774205980742148401409
Fri Jun  3 23:15:11 2022  p74 factor: 37281919992833594508496316787529970010633155440575979707172570667607057589
Fri Jun  3 23:15:11 2022  elapsed time 00:11:19 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.310).
Factorization parameters were as follows:
#
# N = 3x10^170-4 = 29(169)6
#
n: 124333984909173120530225362127994519994535206383813404780791252096890583260122858190241895199258779799169680076240008071298120093191405172251001330793058503912667
m: 10000000000000000000000000000000000
deg: 5
c5: 3
c0: -4
skew: 1.06
# Murphy_E = 3.128e-10
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1065128 hash collisions in 11792155 relations (11470795 unique)
Msieve: matrix is 667991 x 668216 (230.0 MB)

Sieving start time : 2022/06/03 22:29:45
Sieving end time  : 2022/06/03 23:03:26

Total sieving time: 0hrs 33min 41secs.

Total relation processing time: 0hrs 6min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 53sec.

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

1443826294656934434880029406524991229117305211839674062283225123249393357336868046403751788791327441421443525876512259793620892240119428943<139>

6948781076702691906617947543542846203890195513<46>
207781232236208709799413655317692663622618927578923410800785923853423172875159619908089479111<93>

14438262946569344348800294065249912291173052118396740622832251232493933573368680464037517887913274414214435258765122597936208922401194289=6948781076702691906617947543542846203890195513*207781232236208709799413655317692663622618927578923410800785923853423172875159619908089479111

cado polynomial
n: 1443826294656934434880029406524991229117305211839674062283225123249393357336868046403751788791327441421443525876512259793620892240119428943
skew: 0.42
type: snfs
c0: -1
c5: 75
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 75*x^5-1
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5100000
tasks.lim1 = 5100000
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: 207781232236208709799413655317692663622618927578923410800785923853423172875159619908089479111 6948781076702691906617947543542846203890195513
Info:Square Root: Total cpu/real time for sqrt: 167.4/62.2558
Info:Filtering - Singleton removal: Total cpu/real time for purge: 50.35/85.7896
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11632239
Info:Lattice Sieving: Average J: 1892.89 for 385928 special-q, max bucket fill -bkmult 1.0,1s:1.265180
Info:Lattice Sieving: Total time: 69839.4s
Info:Linear Algebra: Total cpu/real time for bwc: 9078.8/3601.59
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5320.65, WCT time 2111.64, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.02, comm-wait 0.0 (23552 iterations)
Info:Linear Algebra: Lingen CPU time 739.07, WCT time 261.51
Info:Linear Algebra: Mksol: CPU time 2905.62,  WCT time 1173.38, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.02, comm-wait 0.0 (11776 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.29/20.9972
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.47/57.9064
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 105.33/107.953
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 94.5s
Info:Filtering - Merging: Merged matrix has 748999 rows and total weight 127759254 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 165.62/61.0073
Info:Filtering - Merging: Total cpu/real time for replay: 27.69/23.4565
Info:Generate Factor Base: Total cpu/real time for makefb: 2.22/1.91874
Info:Quadratic Characters: Total cpu/real time for characters: 26.7/13.1601
Info:Square Root: Total cpu/real time for sqrt: 167.4/62.2558
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 105706/39236.1
Info:root: Cleaning up computation data in /tmp/cado.j6drtayp
207781232236208709799413655317692663622618927578923410800785923853423172875159619908089479111 6948781076702691906617947543542846203890195513

cado-nfs-3.0.0

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

935114961741174167291504374831982294706922045375375029852595141728031825815619626182365122630181129381970961591273194549731959937558146183562262658894116287<156>

72897646825854055295150352806530621781951<41>
12827779804402740184398695198483020856585325200824400385447306636462681823432128027631445171727915154750772358939137<116>

Number: n
N=935114961741174167291504374831982294706922045375375029852595141728031825815619626182365122630181129381970961591273194549731959937558146183562262658894116287  ( 156 digits)
SNFS difficulty: 172 digits.
Divisors found:

Sun Jun  5 23:24:53 2022  p41 factor: 72897646825854055295150352806530621781951
Sun Jun  5 23:24:53 2022  p116 factor: 12827779804402740184398695198483020856585325200824400385447306636462681823432128027631445171727915154750772358939137
Sun Jun  5 23:24:53 2022  elapsed time 00:15:02 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.308).
Factorization parameters were as follows:
#
# N = 3x10^173-4 = 29(172)6
#
n: 935114961741174167291504374831982294706922045375375029852595141728031825815619626182365122630181129381970961591273194549731959937558146183562262658894116287
m: 10000000000000000000000000000000000
deg: 5
c5: 750
c0: -1
skew: 0.27
# Murphy_E = 2.124e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1298824 hash collisions in 12411030 relations (11857613 unique)
Msieve: matrix is 736903 x 737129 (255.7 MB)

Sieving start time : 2022/06/05 22:27:07
Sieving end time  : 2022/06/05 23:09:35

Total sieving time: 0hrs 42min 28secs.

Total relation processing time: 0hrs 8min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 35sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

749999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<174>

1911483251713854956310572547492086804103134892593577168519572183<64>
392365457205833488984388653785494079150785570869039703043616833740351275953437166683009595504175325520873232153<111>

Number: n
N=749999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999  ( 174 digits)
SNFS difficulty: 174 digits.
Divisors found:

Fri Jun  3 04:47:02 2022  p64 factor: 1911483251713854956310572547492086804103134892593577168519572183
Fri Jun  3 04:47:02 2022  p111 factor: 392365457205833488984388653785494079150785570869039703043616833740351275953437166683009595504175325520873232153
Fri Jun  3 04:47:02 2022  elapsed time 00:14:08 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 3x10^174-4 = 29(173)6
#
n: 749999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 50000000000000000000000000000000000
deg: 5
c5: 12
c0: -5
skew: 0.84
# Murphy_E = 2.014e-10
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1266932 hash collisions in 12136881 relations (11597927 unique)
Msieve: matrix is 798619 x 798844 (279.8 MB)

Sieving start time : 2022/06/03 03:45:03
Sieving end time  : 2022/06/03 04:32:39

Total sieving time: 0hrs 47min 36secs.

Total relation processing time: 0hrs 9min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 44sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

106676157983489770437776337273157482760025704097787134094029462843267179557594103874645111872078969404867837937194650366094956797<129>

6878309594966019830725141866852109309885141851910581210779929081<64>
15509066073670499143656911859642697609558554391775794518015436837<65>

106676157983489770437776337273157482760025704097787134094029462843267179557594103874645111872078969404867837937194650366094956797=6878309594966019830725141866852109309885141851910581210779929081*15509066073670499143656911859642697609558554391775794518015436837

cado polynomial
n: 106676157983489770437776337273157482760025704097787134094029462843267179557594103874645111872078969404867837937194650366094956797
skew: 0.67
type: snfs
c0: -2
c5: 15
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 15*x^5-2
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6000000
tasks.lim1 = 6000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 15509066073670499143656911859642697609558554391775794518015436837 6878309594966019830725141866852109309885141851910581210779929081
Info:Square Root: Total cpu/real time for sqrt: 178.1/66.7223
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22435195
Info:Lattice Sieving: Average J: 1893.13 for 738183 special-q, max bucket fill -bkmult 1.0,1s:1.255970
Info:Lattice Sieving: Total time: 210503s
Info:Generate Free Relations: Total cpu/real time for freerel: 121.21/40.001
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 87.87/115.859
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 115.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 212.94/213.697
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 193.2s
Info:Filtering - Merging: Merged matrix has 876063 rows and total weight 149296982 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 199.54/73.3779
Info:Filtering - Merging: Total cpu/real time for replay: 31.42/26.7416
Info:Linear Algebra: Total cpu/real time for bwc: 12536/4924.22
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7401.02, WCT time 2904.3, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.02, comm-wait 0.0 (27392 iterations)
Info:Linear Algebra: Lingen CPU time 941.72, WCT time 334.74
Info:Linear Algebra: Mksol: CPU time 4060.39,  WCT time 1620.24, iteration CPU time 0.1, COMM 0.0, cpu-wait 0.02, comm-wait 0.0 (13824 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.55/2.21322
Info:Quadratic Characters: Total cpu/real time for characters: 29.63/14.7417
Info:Square Root: Total cpu/real time for sqrt: 178.1/66.7223
Info:Filtering - Singleton removal: Total cpu/real time for purge: 131.45/202.206
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 363961/58945.5
Info:root: Cleaning up computation data in /tmp/cado.mp0mlp5h
15509066073670499143656911859642697609558554391775794518015436837 6878309594966019830725141866852109309885141851910581210779929081

cado-nfs-3.0.0

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

226986931774759052879942051105696011665668904048761166907125935089241507293167780896416618109790166518953199093143931260432832229183789137017919739890471442985566423<165>

187776473246192217182814257417351434634565805700377646844002417909<66>
1208814543434087827760364006322881427259194359689118162169375664089470223889696046859441957403928347<100>

Number: n
N=226986931774759052879942051105696011665668904048761166907125935089241507293167780896416618109790166518953199093143931260432832229183789137017919739890471442985566423  ( 165 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sat Jun  4 10:07:15 2022  p66 factor: 187776473246192217182814257417351434634565805700377646844002417909
Sat Jun  4 10:07:15 2022  p100 factor: 1208814543434087827760364006322881427259194359689118162169375664089470223889696046859441957403928347
Sat Jun  4 10:07:15 2022  elapsed time 00:16:16 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.304).
Factorization parameters were as follows:
#
# N = 3x10^177-4 = 29(176)6
#
n: 226986931774759052879942051105696011665668904048761166907125935089241507293167780896416618109790166518953199093143931260432832229183789137017919739890471442985566423
m: 100000000000000000000000000000000000
deg: 5
c5: 75
c0: -1
skew: 0.42
# Murphy_E = 1.591e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2061932 hash collisions in 16023339 relations (14878635 unique)
Msieve: matrix is 772847 x 773072 (267.2 MB)

Sieving start time : 2022/06/04 08:39:03
Sieving end time  : 2022/06/04 09:50:39

Total sieving time: 1hrs 11min 36secs.

Total relation processing time: 0hrs 9min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 52sec.

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

1615689530224503545191338308292100433944767368775673161494371735586505478201438401659155404052057407541724495728723978979<121>

5517315214374227211034830424481542300459277596080460331<55>
292839808393611009011351936025064553480813741352840278151662356009<66>

1615689530224503545191338308292100433944767368775673161494371735586505478201438401659155404052057407541724495728723978979=5517315214374227211034830424481542300459277596080460331*292839808393611009011351936025064553480813741352840278151662356009

cado polynomial
n: 1615689530224503545191338308292100433944767368775673161494371735586505478201438401659155404052057407541724495728723978979
skew: 62980.669
c0: 30905700758012661387792580360
c1: -532598313981729019531886
c2: -15596068516218202765
c3: 93606292630043
c4: 2158616598
c5: 33120
Y0: -153968811156174983768847
Y1: 285818455130048323
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.465e-06
# f(x) = 33120*x^5+2158616598*x^4+93606292630043*x^3-15596068516218202765*x^2-532598313981729019531886*x+30905700758012661387792580360
# g(x) = 285818455130048323*x-153968811156174983768847

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: 292839808393611009011351936025064553480813741352840278151662356009 5517315214374227211034830424481542300459277596080460331
Info:Square Root: Total cpu/real time for sqrt: 219.82/66.6717
Info:Filtering - Singleton removal: Total cpu/real time for purge: 65.47/76.0546
Info:Linear Algebra: Total cpu/real time for bwc: 5395.37/1401.88
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3287.23, WCT time 851.81, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23552 iterations)
Info:Linear Algebra: Lingen CPU time 130.52, WCT time 33.26
Info:Linear Algebra: Mksol: CPU time 1901.62,  WCT time 489.98, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11776 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13589575
Info:Lattice Sieving: Average J: 1905.81 for 275787 special-q, max bucket fill -bkmult 1.0,1s:1.243900
Info:Lattice Sieving: Total time: 41376.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.15/3.96837
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1737.4
Info:Polynomial Selection (root optimized): Rootsieve time: 1734.9
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 55.91/62.2305
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 62.0s
Info:Filtering - Merging: Merged matrix has 750989 rows and total weight 76097041 (101.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 55.16/18.3143
Info:Filtering - Merging: Total cpu/real time for replay: 18.73/14.8202
Info:Generate Free Relations: Total cpu/real time for freerel: 126.95/82.0803
Info:Quadratic Characters: Total cpu/real time for characters: 23.83/9.18833
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): 20068/35.980/42.979/47.510/1.034
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16071/34.640/38.051/43.470/0.854
Info:Polynomial Selection (size optimized): Total time: 2300.23
Info:Square Root: Total cpu/real time for sqrt: 219.82/66.6717
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 147.23/134.244
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 115.8s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 72084.9/24588.9
Info:root: Cleaning up computation data in /tmp/cado.d7fnn1b5
292839808393611009011351936025064553480813741352840278151662356009 5517315214374227211034830424481542300459277596080460331

cado-nfs-3.0.0

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

1044470489379593295589963250277482612189687752928225364357336534854469296756419980627158038956401533009503594217122705413159<124>

4166731295737589344595955210767134342959112387578607<52>
250669029329548472968252040374910668765598975457899702042004953347992137<72>

1044470489379593295589963250277482612189687752928225364357336534854469296756419980627158038956401533009503594217122705413159=4166731295737589344595955210767134342959112387578607*250669029329548472968252040374910668765598975457899702042004953347992137

cado polynomial
n: 1044470489379593295589963250277482612189687752928225364357336534854469296756419980627158038956401533009503594217122705413159
skew: 14993.545
c0: -880431469136543667808371732
c1: -247189117890780405076697
c2: 11175419040955440804
c3: -2116514330118043
c4: 700660368
c5: 3084480
Y0: -332490357072809861445055
Y1: 642539579425601
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.226e-07
# f(x) = 3084480*x^5+700660368*x^4-2116514330118043*x^3+11175419040955440804*x^2-247189117890780405076697*x-880431469136543667808371732
# g(x) = 642539579425601*x-332490357072809861445055

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.sieve.ncurves0 = 14
tasks.sieve.ncurves1 = 16
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4166731295737589344595955210767134342959112387578607 250669029329548472968252040374910668765598975457899702042004953347992137
Info:Square Root: Total cpu/real time for sqrt: 470.27/137.632
Info:Filtering - Singleton removal: Total cpu/real time for purge: 59.55/63.2165
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11619317
Info:Lattice Sieving: Average J: 3785.7 for 154659 special-q, max bucket fill -bkmult 1.0,1s:1.185370
Info:Lattice Sieving: Total time: 77516s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.58/2.29552
Info:Linear Algebra: Total cpu/real time for bwc: 6975.12/1794.41
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4366.3, WCT time 1117.47, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (21504 iterations)
Info:Linear Algebra: Lingen CPU time 116.01, WCT time 29.48
Info:Linear Algebra: Mksol: CPU time 2387.05,  WCT time 609.52, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10752 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 126.92/32.9997
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.94/55.9344
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 55.8s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2427.59
Info:Polynomial Selection (root optimized): Rootsieve time: 2425.21
Info:Filtering - Merging: Merged matrix has 684667 rows and total weight 116703015 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 134.81/39.1209
Info:Filtering - Merging: Total cpu/real time for replay: 24.86/20.4968
Info:Quadratic Characters: Total cpu/real time for characters: 24.93/9.87822
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): 20332/35.710/43.805/47.790/0.891
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15970/35.710/39.179/44.550/0.892
Info:Polynomial Selection (size optimized): Total time: 1978.01
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 123.96/106.938
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 95.69999999999999s
Info:Square Root: Total cpu/real time for sqrt: 470.27/137.632
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 100467/42512.3
Info:root: Cleaning up computation data in /tmp/cado.6swkujfu
4166731295737589344595955210767134342959112387578607 250669029329548472968252040374910668765598975457899702042004953347992137

cado-nfs-3.0.0

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

576923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923<180>

10869014230062265213949260142831098624917076367532364215128565428298169<71>
53079613726825704006082453067274817144808218270937438150575212398109326252229427702668983267733103664303928467<110>

Number: n
N=576923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923  ( 180 digits)
SNFS difficulty: 181 digits.
Divisors found:

Tue Jun  7 14:22:49 2022  p71 factor: 10869014230062265213949260142831098624917076367532364215128565428298169
Tue Jun  7 14:22:49 2022  p110 factor: 53079613726825704006082453067274817144808218270937438150575212398109326252229427702668983267733103664303928467
Tue Jun  7 14:22:49 2022  elapsed time 00:20:07 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 3x10^181-4 = 29(180)6
#
n: 576923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923
m: 1000000000000000000000000000000000000
deg: 5
c5: 15
c0: -2
skew: 0.67
# Murphy_E = 9.24e-11
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3064230 hash collisions in 29249165 relations (27983083 unique)
Msieve: matrix is 891067 x 891292 (304.0 MB)

Sieving start time : 2022/06/07 09:58:58
Sieving end time  : 2022/06/07 14:02:12

Total sieving time: 4hrs 3min 14secs.

Total relation processing time: 0hrs 12min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 51sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

32694747847431127829466359980018975186017660651146325781231677814177310728475598214329060111781375156685682753712342314200798540841640665950508063984491<152>

10184680671582119123599484574694584203<38>
3210188802350759096986228630597240880926502573800359562110515839535339361250009404571224335856616891203935375265697<115>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1334416736
Step 1 took 5859ms
Step 2 took 3438ms
********** Factor found in step 2: 10184680671582119123599484574694584203
Found prime factor of 38 digits: 10184680671582119123599484574694584203
Prime cofactor 3210188802350759096986228630597240880926502573800359562110515839535339361250009404571224335856616891203935375265697 has 115 digits
 

GMP-ECM

734578710720512909418191241767102585686797093323756020165141541040296990995472459376252233267420630354548068034043539081559509310001118038592099430254973279312519420363449781<174>

212597259224574903981066863089480767479923794801322628766122451484708183664052209021<84>
3455259552262375721594811969999951427076772960392754437024723120082111310844810429533009561<91>

Number: n
N=734578710720512909418191241767102585686797093323756020165141541040296990995472459376252233267420630354548068034043539081559509310001118038592099430254973279312519420363449781  ( 174 digits)
SNFS difficulty: 182 digits.
Divisors found:

Fri Jun 10 07:47:14 2022  p84 factor: 212597259224574903981066863089480767479923794801322628766122451484708183664052209021
Fri Jun 10 07:47:14 2022  p91 factor: 3455259552262375721594811969999951427076772960392754437024723120082111310844810429533009561
Fri Jun 10 07:47:14 2022  elapsed time 00:19:48 (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 = 3x10^183-4 = 29(182)6
#
n: 734578710720512909418191241767102585686797093323756020165141541040296990995472459376252233267420630354548068034043539081559509310001118038592099430254973279312519420363449781
m: 1000000000000000000000000000000000000
deg: 5
c5: 750
c0: -1
skew: 0.27
# Murphy_E = 8.413e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3132239 hash collisions in 29246748 relations (27894185 unique)
Msieve: matrix is 874106 x 874330 (298.6 MB)

Sieving start time : 2022/06/10 04:52:40
Sieving end time  : 2022/06/10 07:26:56

Total sieving time: 2hrs 34min 16secs.

Total relation processing time: 0hrs 11min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 57sec.

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

210209010920932081274760113879334712143484868105781171941081334353220500340475129714957655477704490245341857253891692450396363047<129>

722408724868887879885941248774929493<36>
290983488549482210886458583099219794490589064107205371518331590257490364841928130696820816779<93>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3362244631
Step 1 took 4906ms
Step 2 took 2969ms
********** Factor found in step 2: 722408724868887879885941248774929493
Found prime factor of 36 digits: 722408724868887879885941248774929493
Prime cofactor 290983488549482210886458583099219794490589064107205371518331590257490364841928130696820816779 has 93 digits
 

GMP-ECM

68384582308531880530805497889230608214812441878543743438588984457450226457830273453224223833744781296913504037526420644261971223<128>

52946030023890198350263545167961107<35>
1291590366221518978750321356456625699083880555755013371499845593740885940449317849652655246189<94>

68384582308531880530805497889230608214812441878543743438588984457450226457830273453224223833744781296913504037526420644261971223=52946030023890198350263545167961107*1291590366221518978750321356456625699083880555755013371499845593740885940449317849652655246189

cado polynomial
n: 68384582308531880530805497889230608214812441878543743438588984457450226457830273453224223833744781296913504037526420644261971223
skew: 170027.473
c0: 1048592984706846161437986659275
c1: -2462881994391013650307190
c2: -194963973473059938623
c3: -226626988587299
c4: 607397009
c5: 7980
Y0: -6117099030068559360993844
Y1: 42266100995649869
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.724e-07
# f(x) = 7980*x^5+607397009*x^4-226626988587299*x^3-194963973473059938623*x^2-2462881994391013650307190*x+1048592984706846161437986659275
# g(x) = 42266100995649869*x-6117099030068559360993844

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1291590366221518978750321356456625699083880555755013371499845593740885940449317849652655246189 52946030023890198350263545167961107
Info:Square Root: Total cpu/real time for sqrt: 628.85/191.026
Info:Filtering - Singleton removal: Total cpu/real time for purge: 108.62/125.185
Info:Generate Free Relations: Total cpu/real time for freerel: 249.79/63.653
Info:Linear Algebra: Total cpu/real time for bwc: 43256.5/11100.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 27642.68, WCT time 7061.89, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51456 iterations)
Info:Linear Algebra: Lingen CPU time 323.57, WCT time 82.17
Info:Linear Algebra: Mksol: CPU time 14993.8,  WCT time 3843.98, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25856 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23094844
Info:Lattice Sieving: Average J: 7965.21 for 47216 special-q, max bucket fill -bkmult 1.0,1s:1.067380
Info:Lattice Sieving: Total time: 69782.1s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.71/10.769
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5292.09
Info:Polynomial Selection (root optimized): Rootsieve time: 5289.62
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 97.63/117.285
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 117.2s
Info:Filtering - Merging: Merged matrix has 1640927 rows and total weight 279784667 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 405.34/114.806
Info:Filtering - Merging: Total cpu/real time for replay: 65.18/54.5308
Info:Quadratic Characters: Total cpu/real time for characters: 63.69/25.8372
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38811/37.840/45.610/50.430/0.850
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30635/37.230/40.874/46.380/0.910
Info:Polynomial Selection (size optimized): Total time: 4848.02
Info:Square Root: Total cpu/real time for sqrt: 628.85/191.026
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 260.42/226.532
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 212.6s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 186849/50805.3
Info:root: Cleaning up computation data in /tmp/cado.i6o61y4s
1291590366221518978750321356456625699083880555755013371499845593740885940449317849652655246189 52946030023890198350263545167961107

cado-nfs-3.0.0

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

368525326237768486885709722264028051067293734229793750778418171181358686193439976793420545096553221965135453999821640949493584130049888082092642009801352807804800981312159<171>

1223755942669786266595879600114342631<37>
301142828719410749897395118033565747218118790426535062107707022822293543554206459418897316264837589721332682803687563628579158771678089<135>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3566272459
Step 1 took 7172ms
Step 2 took 3890ms
********** Factor found in step 2: 1223755942669786266595879600114342631
Found prime factor of 37 digits: 1223755942669786266595879600114342631
Prime cofactor 301142828719410749897395118033565747218118790426535062107707022822293543554206459418897316264837589721332682803687563628579158771678089 has 135 digits

GMP-ECM

53309672573980495172022084081175169985027868264505399426491664537143992879035549076975422029670611692003259329327599652295104261464243<134>

25626554095375702909308280562281853069<38>
2080251304001898375600397962059848396269648628299955443696059352592361469511665101336709946730047<97>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:483482140
Step 1 took 4875ms
Step 2 took 3219ms
********** Factor found in step 2: 25626554095375702909308280562281853069
Found prime factor of 38 digits: 25626554095375702909308280562281853069
Prime cofactor 2080251304001898375600397962059848396269648628299955443696059352592361469511665101336709946730047 has 97 digits
 

GMP-ECM

44447300920383521135273288691313853217966490478450975318524042955467664331176854152721525232343190424243532416122274741429209799<128>

2383857220223814138035237341658179012850412261913<49>
18645118735848818981215926662571910576583802695652450067527266373330111453126623<80>

44447300920383521135273288691313853217966490478450975318524042955467664331176854152721525232343190424243532416122274741429209799=2383857220223814138035237341658179012850412261913*18645118735848818981215926662571910576583802695652450067527266373330111453126623

cado polynomial
n: 44447300920383521135273288691313853217966490478450975318524042955467664331176854152721525232343190424243532416122274741429209799
skew: 57184.155
c0: 292430196414307485322029315233
c1: -6388346988371139498938747
c2: -640380931058713406089
c3: 984010691265411
c4: 40152808852
c5: 511620
Y0: -2441931316413529091214060
Y1: 16526926476210283
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.550e-07
# f(x) = 511620*x^5+40152808852*x^4+984010691265411*x^3-640380931058713406089*x^2-6388346988371139498938747*x+292430196414307485322029315233
# g(x) = 16526926476210283*x-2441931316413529091214060

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2383857220223814138035237341658179012850412261913 18645118735848818981215926662571910576583802695652450067527266373330111453126623
Info:Square Root: Total cpu/real time for sqrt: 656.8/195.146
Info:Filtering - Singleton removal: Total cpu/real time for purge: 115.96/127.003
Info:Generate Free Relations: Total cpu/real time for freerel: 250.53/64.053
Info:Linear Algebra: Total cpu/real time for bwc: 39543.1/10154.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 25263.46, WCT time 6460.53, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (49152 iterations)
Info:Linear Algebra: Lingen CPU time 318.38, WCT time 80.86
Info:Linear Algebra: Mksol: CPU time 13681.39,  WCT time 3511.49, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (24576 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23154143
Info:Lattice Sieving: Average J: 7649.26 for 48911 special-q, max bucket fill -bkmult 1.0,1s:1.077250
Info:Lattice Sieving: Total time: 70256s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.46/10.7053
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5168.67
Info:Polynomial Selection (root optimized): Rootsieve time: 5166.24
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 99.11/114.9
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 114.8s
Info:Filtering - Merging: Merged matrix has 1564843 rows and total weight 268354550 (171.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 402.02/113.518
Info:Filtering - Merging: Total cpu/real time for replay: 61.73/51.3961
Info:Quadratic Characters: Total cpu/real time for characters: 60.63/24.7307
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38806/38.230/45.525/50.290/0.861
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30645/37.210/40.806/46.330/0.906
Info:Polynomial Selection (size optimized): Total time: 4821.74
Info:Square Root: Total cpu/real time for sqrt: 656.8/195.146
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 269.6/228.761
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 215.3s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 183927/49780.1
Info:root: Cleaning up computation data in /tmp/cado.axx8uaf5
2383857220223814138035237341658179012850412261913 18645118735848818981215926662571910576583802695652450067527266373330111453126623

cado-nfs-3.0.0

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

16996498476201813458120961835206359300947195157134381238604178891893945743452574847548393832516742155434083638282693947521371208663240144074537669548502226430548603357<167>

25477698489556334003896107383765232932122013913693359211413206399211557<71>
667112788196662135701798199528320347239770607705124491062744053939175314628128077030835631917401<96>

Number: n
N=16996498476201813458120961835206359300947195157134381238604178891893945743452574847548393832516742155434083638282693947521371208663240144074537669548502226430548603357  ( 167 digits)
SNFS difficulty: 196 digits.
Divisors found:

Fri Jul  1 02:30:00 2022  p71 factor: 25477698489556334003896107383765232932122013913693359211413206399211557
Fri Jul  1 02:30:00 2022  p96 factor: 667112788196662135701798199528320347239770607705124491062744053939175314628128077030835631917401
Fri Jul  1 02:30:00 2022  elapsed time 01:11:53 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 3x10^196-4 = 29(195)6
#
n: 16996498476201813458120961835206359300947195157134381238604178891893945743452574847548393832516742155434083638282693947521371208663240144074537669548502226430548603357
m: 1000000000000000000000000000000000000000
deg: 5
c5: 15
c0: -2
skew: 0.67
# Murphy_E = 2.235e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3579100 hash collisions in 28945697 relations (26981113 unique)
Msieve: matrix is 1652915 x 1653141 (573.7 MB)

Sieving start time : 2022/06/30 18:49:31
Sieving end time  : 2022/07/01 01:17:16

Total sieving time: 6hrs 27min 45secs.

Total relation processing time: 0hrs 53min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 39sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13000000,13000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

8739625416494107152467849723153072105918163959899890344813454320878659238965382155047997601626864127293858711033319408699455913572394027106823969904859503<154>

35620700149387470254841871245764601301026973685252281<53>
245352432148765408677848800662601380084518050241277648912082881064601488817034146580797903998303061863<102>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 8739625416494107152467849723153072105918163959899890344813454320878659238965382155047997601626864127293858711033319408699455913572394027106823969904859503 (154 digits)
Using B1=36700000, B2=192390318136, polynomial Dickson(12), sigma=1:711363033
Step 1 took 75387ms
Step 2 took 26319ms
********** Factor found in step 2: 35620700149387470254841871245764601301026973685252281
Found prime factor of 53 digits: 35620700149387470254841871245764601301026973685252281
Prime cofactor 245352432148765408677848800662601380084518050241277648912082881064601488817034146580797903998303061863 has 102 digits

25723116098971617108138639748090415162927246418007000825716786073773548318464495161557484473831729234396037345032524047066324358321<131>

17672061565244749028112762528925313083517032678837926767380240477<65>
1455580946456224338428170466150833195216303857459273033139066345573<67>

25723116098971617108138639748090415162927246418007000825716786073773548318464495161557484473831729234396037345032524047066324358321=17672061565244749028112762528925313083517032678837926767380240477*1455580946456224338428170466150833195216303857459273033139066345573

cado polynomial
n: 25723116098971617108138639748090415162927246418007000825716786073773548318464495161557484473831729234396037345032524047066324358321
skew: 203756.887
c0: -55525458361465811396072269664790
c1: -648342525494279474966247767
c2: 6194285160056194717254
c3: -5551343073316933
c4: 38783737716
c5: 205920
Y0: -14952980257268386526813068
Y1: 208625287680452249
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.487e-07
# f(x) = 205920*x^5+38783737716*x^4-5551343073316933*x^3+6194285160056194717254*x^2-648342525494279474966247767*x-55525458361465811396072269664790
# g(x) = 208625287680452249*x-14952980257268386526813068

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1455580946456224338428170466150833195216303857459273033139066345573 17672061565244749028112762528925313083517032678837926767380240477
Info:Square Root: Total cpu/real time for sqrt: 765.42/230.665
Info:Filtering - Singleton removal: Total cpu/real time for purge: 210.36/232.68
Info:Linear Algebra: Total cpu/real time for bwc: 52068.6/13370.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 33311.66, WCT time 8509.78, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (56064 iterations)
Info:Linear Algebra: Lingen CPU time 350.05, WCT time 88.9
Info:Linear Algebra: Mksol: CPU time 18076.32,  WCT time 4642.57, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28160 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24121471
Info:Lattice Sieving: Average J: 7997.78 for 64539 special-q, max bucket fill -bkmult 1.0,1s:1.069380
Info:Lattice Sieving: Total time: 93028s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.67/10.7812
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5460.08
Info:Polynomial Selection (root optimized): Rootsieve time: 5457.64
Info:Generate Free Relations: Total cpu/real time for freerel: 253.25/64.2153
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 106.47/124.366
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 124.1s
Info:Filtering - Merging: Merged matrix has 1789278 rows and total weight 305802196 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 458.05/129.662
Info:Filtering - Merging: Total cpu/real time for replay: 72.85/61.037
Info:Quadratic Characters: Total cpu/real time for characters: 69.4/29.7864
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38905/38.880/46.573/49.620/0.836
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30989/37.990/41.835/47.380/1.012
Info:Polynomial Selection (size optimized): Total time: 4840.74
Info:Square Root: Total cpu/real time for sqrt: 765.42/230.665
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 355.6/329.46
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 288.49999999999994s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 239633/64562.5
Info:root: Cleaning up computation data in /tmp/cado.4qxwbvms
1455580946456224338428170466150833195216303857459273033139066345573 17672061565244749028112762528925313083517032678837926767380240477

cado-nfs-3.0.0

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

576923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923<198>

6813746210974877145949588952418984217689877<43>
11069549870609089501616594471045930487976401419041558578825477665436175301<74>
7648953070570257359148307945019672124150972863338818206913790243565422653981973699<82>

Number: n
N=576923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923  ( 198 digits)
SNFS difficulty: 199 digits.
Divisors found:

Mon Aug 29 03:33:49 2022  found factor: 7648953070570257359148307945019672124150972863338818206913790243565422653981973699
Mon Aug 29 03:35:58 2022  p43 factor: 6813746210974877145949588952418984217689877
Mon Aug 29 03:35:58 2022  p74 factor: 11069549870609089501616594471045930487976401419041558578825477665436175301
Mon Aug 29 03:35:58 2022  p82 factor: 7648953070570257359148307945019672124150972863338818206913790243565422653981973699
Mon Aug 29 03:35:58 2022  elapsed time 01:14:34 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 3x10^199-4 = 29(198)6
#
n: 576923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923
m: 5000000000000000000000000000000000000000
deg: 5
c5: 12
c0: -5
skew: 0.84
# Murphy_E = 1.906e-11
type: snfs
lss: 1
rlim: 14800000
alim: 14800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14800000/14800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 20200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3295933 hash collisions in 27828401 relations (26108831 unique)
Msieve: matrix is 1766349 x 1766574 (618.6 MB)

Sieving start time : 2022/08/28 20:16:26
Sieving end time  : 2022/08/29 02:20:52

Total sieving time: 6hrs 4min 26secs.

Total relation processing time: 1hrs 2min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 17sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14800000,14800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

10772825722888985059772114954052360693383326298337137159415513833105193721352877182179333935950470478719717142467006079377962572547170531244078017620921295953281227737<167>

89856531004391820720440227966541488208003<41>

119889178921924476247878311789542080207723492086098486580992620962398682507452383288295485538878878080385067093429451741598579<126>

Resuming ECM residue saved by @48769aff142e with GMP-ECM 7.0.5-dev on Sun Aug 28 14:19:35 2022 
Input number is 10772825722888985059772114954052360693383326298337137159415513833105193721352877182179333935950470478719717142467006079377962572547170531244078017620921295953281227737 (167 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2475537876
Step 1 took 0ms
Step 2 took 8295ms
********** Factor found in step 2: 89856531004391820720440227966541488208003
Found prime factor of 41 digits: 89856531004391820720440227966541488208003
Composite cofactor 119889178921924476247878311789542080207723492086098486580992620962398682507452383288295485538878878080385067093429451741598579 has 126 digits

119889178921924476247878311789542080207723492086098486580992620962398682507452383288295485538878878080385067093429451741598579<126>

1914872610241568044418072852622546981029727443946753923<55>
62609480275975134730022115821053054294184650216998802640016805840091473<71>

Number: n
N=119889178921924476247878311789542080207723492086098486580992620962398682507452383288295485538878878080385067093429451741598579  ( 126 digits)
Divisors found:

Thu Sep  1 16:04:01 2022  p55 factor: 1914872610241568044418072852622546981029727443946753923
Thu Sep  1 16:04:01 2022  p71 factor: 62609480275975134730022115821053054294184650216998802640016805840091473
Thu Sep  1 16:04:01 2022  elapsed time 00:16:49 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 3x10^200-4 = 29(199)6
#
# Murphy_E = 2.348e-07, selected by Eric Jeancolas
# From cado-nfs-3.0.0
n: 119889178921924476247878311789542080207723492086098486580992620962398682507452383288295485538878878080385067093429451741598579
Y0: -961552810631765336611213
Y1: 9830006361955133
c0: 79540540083201220904774368944
c1: -6324629735602015788455976
c2: -206661330360827849609
c3: 7198740937634410
c4: 52027722094
c5: 145320
skew: 46464.564
type: gnfs
# selected mechanically
rlim: 7200000
alim: 7200000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 6960000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1570424 hash collisions in 13454973 relations (12347503 unique)
Msieve: matrix is 785436 x 785664 (276.7 MB)

Sieving start time : 2022/09/01 15:19:26
Sieving end time  : 2022/09/01 15:46:51

Total sieving time: 0hrs 27min 25secs.

Total relation processing time: 0hrs 8min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 33sec.

Prototype def-par.txt line would be:
gnfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,7200000,7200000,27,27,53,53,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1270455350421354505390760033812770163867402804643268853102336091978399739509477475667321272998280347324543702371494611528514153913857977147844294019<148>

29645843470742610286758777885014230476705082435145263517238410513<65>
42854417405096363554154631081377134824507363031102744137218345267964899206577690963<83>

11/23/23 12:47:49, nfs: commencing nfs on c148: 12704553504213545053907600338127701638674028046432688531023360919783997395094774756673212729982803473245437023714946115285
4153913857977147844294019
11/23/23 12:47:49, nfs: commencing poly selection with 12 threads
11/23/23 12:47:49, nfs: setting deadline of 43125 seconds
11/23/23 12:47:49, nfs: expecting degree 5 poly E from 5.84e-12 to > 6.72e-12
11/23/23 12:47:49, nfs: searching for avg quality poly E > 6.05e-12
11/23/23 12:54:32, nfs: completed 15 ranges of size 250 in 402.4575 seconds
11/23/23 12:54:32, nfs: best poly = # norm 3.397165e-14 alpha -7.266656 e 8.052e-12 rroots 3
11/23/23 12:54:32, nfs: commencing lattice sieving with 12 threads
11/24/23 13:08:21, nfs: commencing msieve filtering
11/24/23 13:16:34, nfs: commencing msieve linear algebra
11/24/23 14:18:30, nfs: commencing msieve sqrt
11/24/23 14:22:41, prp65 = 29645843470742610286758777885014230476705082435145263517238410513
11/24/23 14:22:41, prp83 = 42854417405096363554154631081377134824507363031102744137218345267964899206577690963
11/24/23 14:22:42, NFS elapsed time = 92092.4807 seconds

YAFU v2.09

i7-12700, Windows 10 v22H2

418035870408640700957465016750793274833464693607818983582090042374891465532411479624158041009634730105008740329183444319833272333804265645059862882750072623676565621003256709918542953<183>

23130170493440545946484271600133993<35>
18073185864634717380798657678084628615367446721430423788072659158164956483521130823022246654973304835197413563666948776900472946238468595803781438721<149>

Resuming ECM residue saved by @48769aff142e with GMP-ECM 7.0.5-dev on Sun Aug 28 14:25:03 2022 
Input number is 418035870408640700957465016750793274833464693607818983582090042374891465532411479624158041009634730105008740329183444319833272333804265645059862882750072623676565621003256709918542953 (183 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1356966318
Step 1 took 0ms
Step 2 took 9644ms
********** Factor found in step 2: 23130170493440545946484271600133993
Found prime factor of 35 digits: 23130170493440545946484271600133993
Prime cofactor 18073185864634717380798657678084628615367446721430423788072659158164956483521130823022246654973304835197413563666948776900472946238468595803781438721 has 149 digits

86528437219009716185918322900753486170165647848158329319086845327430355654835848805377435485637450439828084377963274493111511492932005365639929075755035317619992185443777876794511817344422187151157<197>

4890516926560667848028775007990190710056328294749281226476009193556258842379<76>
17693106581242769876075301137916675897535054260255292480000346107562914196841990239622467251326656732255518062409783880383<122>

Number: n
N=86528437219009716185918322900753486170165647848158329319086845327430355654835848805377435485637450439828084377963274493111511492932005365639929075755035317619992185443777876794511817344422187151157  ( 197 digits)
SNFS difficulty: 205 digits.
Divisors found:

Fri Oct 20 03:32:20 2023  prp76 factor: 4890516926560667848028775007990190710056328294749281226476009193556258842379
Fri Oct 20 03:32:20 2023  prp122 factor: 17693106581242769876075301137916675897535054260255292480000346107562914196841990239622467251326656732255518062409783880383
Fri Oct 20 03:32:20 2023  elapsed time 02:26:58 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.084).
Factorization parameters were as follows:
#
# N = 3x10^205-4 = 29(204)6
#
n: 86528437219009716185918322900753486170165647848158329319086845327430355654835848805377435485637450439828084377963274493111511492932005365639929075755035317619992185443777876794511817344422187151157
m: 100000000000000000000000000000000000000000
deg: 5
c5: 3
c0: -4
skew: 1.06
# Murphy_E = 1.145e-11
type: snfs
lss: 1
rlim: 18600000
alim: 18600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18600000/18600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3167935 hash collisions in 19337972 relations (16656754 unique)
Msieve: matrix is 2148340 x 2148565 (603.4 MB)

Sieving start time: 2023/10/19 10:36:23
Sieving end time  : 2023/10/20 01:04:47

Total sieving time: 14hrs 28min 24secs.

Total relation processing time: 2hrs 17min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 24sec.

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

954574727209467778533713649164513027578959981664292163230011776086660642373621843606065406884156918229307344059152607583165647026336708179961386902016715759321679396266316959491924115847<186>

373508613602833151183445779771601208545063015251<48>
2555696689299127594293041932924879732520164898872166091980317549101489911544604249554428108437081295380011363832009696468072996865198761597<139>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:17902387098243462451
Step 1 took 51781ms
********** Factor found in step 2: 373508613602833151183445779771601208545063015251
Found prime factor of 48 digits: 373508613602833151183445779771601208545063015251
Prime cofactor 2555696689299127594293041932924879732520164898872166091980317549101489911544604249554428108437081295380011363832009696468072996865198761597 has 139 digits

GMP-ECM 7.0.5

177384676973051357106149739897239689392962172487724186155379751889411010047533079359769158463648062357676427319602440100981000209560203729510121275354425840251757<162>

96995185277212383825307038957500834196186119057<47>

1828798784868400286219936022262487982749292367008296180964382422023453576254442719895409378801487398106819991811101<115>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:15285068749704769538
Step 1 took 175172ms
Step 2 took 48437ms
********** Factor found in step 2: 96995185277212383825307038957500834196186119057
Found prime factor of 47 digits: 96995185277212383825307038957500834196186119057
Composite cofactor 1828798784868400286219936022262487982749292367008296180964382422023453576254442719895409378801487398106819991811101 has 115 digits

GMP-ECM 7.0.5

1828798784868400286219936022262487982749292367008296180964382422023453576254442719895409378801487398106819991811101<115>

1723174663900612426411938130942892972783505111707<49>
1061296236058099298969203882619084920437138791226199320762506591143<67>

07/09/24 21:49:04, prp49 = 1723174663900612426411938130942892972783505111707
07/09/24 21:49:04, prp67 = 1061296236058099298969203882619084920437138791226199320762506591143
07/09/24 21:49:04, NFS elapsed time = 668.7355 seconds.

840487775240792968825487558927425668525634070335692906190167648816243313021875463281810117895009963155172265326915808114320035290342090226507648714788082957362531386690475387<174>

2163613593736354074374802838995263189971<40>

388464824622104004531324852709459083917461885124024963333523958490397267582830160772229230485753222382406006457321735054716224501274297<135>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:13170420792657706431
Step 1 took 18281ms
Step 2 took 6359ms
********** Factor found in step 2: 2163613593736354074374802838995263189971
Found prime factor of 40 digits: 2163613593736354074374802838995263189971
Composite cofactor 388464824622104004531324852709459083917461885124024963333523958490397267582830160772229230485753222382406006457321735054716224501274297 has 135 digits

GMP-ECM 7.0.5

388464824622104004531324852709459083917461885124024963333523958490397267582830160772229230485753222382406006457321735054716224501274297<135>

449648829406000760046466677692525856689560877612293<51>
863929358240023412713967409645683248650539206958119844012671278150860735781633294629<84>

CADO:

STA:Mon May 13 01:54:10 PM AEST 2024 (388464824622104004531324852709459083917461885124024963333523958490397267582830160772229230485753222382406006457321735054716224501274297 - C135)

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 388464824622104004531324852709459083917461885124024963333523958490397267582830160772229230485753222382406006457321735054716224501274297 2>&1 | tee -a log-14

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead.
  loc = locale.getdefaultlocale()[1]
Debug:root: Looking for parameter file for c135 in directory /home/bob/Downloads/Math/cado-nfs/parameters/factor
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c135
Debug:Parameters: Reading parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c135
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.u5pn92sk
Info:Database: Opened connection to database /tmp/cado.u5pn92sk/c135.db
Info:root: Set tasks.threads=18 based on --server-threads 18
Info:root: tasks.threads = 18 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9
Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 388464824622104004531324852709459083917461885124024963333523958490397267582830160772229230485753222382406006457321735054716224501274297
Debug:root: Root parameter dictionary:
N = 388464824622104004531324852709459083917461885124024963333523958490397267582830160772229230485753222382406006457321735054716224501274297
name = c135
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 388464824622104004531324852709459083917461885124024963333523958490397267582830160772229230485753222382406006457321735054716224501274297
skew: 107743.004
c0: -2313077848553345283521017634739
c1: -39000373681403869675812671
c2: 1517162172090589530249
c3: 1457561885734799
c4: -13949566182
c5: 186480 
Y0: -92116807514116255287185570
Y1: 88903824490672666241
# MurphyE (Bf=1.074e+09,Bg=5.369e+08,area=5.033e+13) = 1.728e-06
# f(x) = 186480*x^5-13949566182*x^4+1457561885734799*x^3+1517162172090589530249*x^2-39000373681403869675812671*x-2313077848553345283521017634739
# g(x) = 88903824490672666241*x-92116807514116255287185570
===
Debug:Command: Process with PID 102860 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 863929358240023412713967409645683248650539206958119844012671278150860735781633294629 449648829406000760046466677692525856689560877612293
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2548.28/183.007
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Free Relations: Total cpu/real time for freerel: 576.71/40.5128
Info:Filtering - Singleton removal: Total cpu/real time for purge: 356.04/201.909
Info:Linear Algebra: Total cpu/real time for bwc: 35240.2/3237.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 21322.51, WCT time 1950.04, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (51000 iterations)
Info:Linear Algebra: Lingen CPU time 80.71, WCT time 26.09
Info:Linear Algebra: Mksol: CPU time 11325.36,  WCT time 1058.4, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (27000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 51.72/10.7802
Info:Generate Factor Base: Total cpu/real time for makefb: 4.17/0.55269
Info:Square Root: Total cpu/real time for sqrt: 2548.28/183.007
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 982.16/452.346
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 327.9s
Info:Filtering - Merging: Total cpu/real time for merge: 164.85/18.3328
Info:Filtering - Merging: Total cpu/real time for replay: 26.45/23.0953 
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 310.12/187.529
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 187.4s
Info:Lattice Sieving: Aggregate statistics: 
Info:Lattice Sieving: Total number of relations: 56402995
Info:Lattice Sieving: Average J: 3787.81 for 431404 special-q, max bucket fill -bkmult 1.0,1s:1.105490
Info:Lattice Sieving: Total time: 197160s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 63638.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 43673/39.960/49.963/60.510/2.130
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 36900/38.890/43.386/51.320/1.136
Info:Polynomial Selection (size optimized): Total time: 11919.5
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 932.86
Info:Polynomial Selection (root optimized): Rootsieve time: 932.43
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 382673/26890.7 [07:28:11]
Info:root: Cleaning up computation data in /tmp/cado.u5pn92sk
863929358240023412713967409645683248650539206958119844012671278150860735781633294629 449648829406000760046466677692525856689560877612293

END:Mon May 13 09:22:22 PM AEST 2024 (388464824622104004531324852709459083917461885124024963333523958490397267582830160772229230485753222382406006457321735054716224501274297 - C135)

16768641600214206409297939708287938365722727140051488234378162689770363701429732081601915208553741611388432001490244516993955776865853368543918871134501886392800549075350999881938763266484819253<194>

6249999546942741175076477836352018707705790560663663749624901176148934491943862791066006161284435040292374291739364570389911762910621233078158998525152662743787771588444260696665912315935237811451223746077<205>

5599535939083829217809835424255843626633705870845631836596981265068288803863603219118762002510483231623518049012243179455235330895359196214805755817491961687607040526460792057<175>

5672984791920053422224743624206842241033<40>
987052873305629816522493197649859041771563284437134213087251871445701727694920095711761152203649576514350672891802697054718065554063729<135>

GPU: factor 5672984791920053422224743624206842241033 found in Step 1 with curve 1640 (-sigma 3:71460248)
Computing 1792 Step 1 took 262ms of CPU time / 178332ms of GPU time
Throughput: 10.049 curves per second (on average 99.52ms per Step 1)
********** Factor found in step 1: 5672984791920053422224743624206842241033
Found prime factor of 40 digits: 5672984791920053422224743624206842241033
Prime cofactor 987052873305629816522493197649859041771563284437134213087251871445701727694920095711761152203649576514350672891802697054718065554063729 has 135 digits
Peak memory usage: 9467MB

532088214250930499161798517719188229918141182546318940031549155304029284065735464860434090837738064492400901945952831811575557045461489530910527709888561<153>

174680858352981134280098847394248883919065033<45>
3046059077496225206902690086201719576393979632619464706508887495577984025746041724851226864012413886462751017<109>

Number: 29996_220
N = 532088214250930499161798517719188229918141182546318940031549155304029284065735464860434090837738064492400901945952831811575557045461489530910527709888561 (153 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=174680858352981134280098847394248883919065033 (pp45)
r2=3046059077496225206902690086201719576393979632619464706508887495577984025746041724851226864012413886462751017 (pp109)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 57.04 hours.
Factorization parameters were as follows:
n: 532088214250930499161798517719188229918141182546318940031549155304029284065735464860434090837738064492400901945952831811575557045461489530910527709888561
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 3
c0: -4
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31498039
Relations: 7169102 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 18.94 hours.
Total relation processing time: 0.43 hours.
Pruned matrix : 6278260 x 6278485
Matrix solve time: 37.51 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 57.04 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

1343749186488788370208864268126468085500532955619297241731112031016102249478494305521623227777605396303788888684200283033174880743365923647002974617710404602881<160>

1020963706083144771667065996035271713406448527514548734321261<61>
1316157644471013882820099378393648975000925065210117817751215867900602480575035065443233236475032421<100>

Number: 29996_221
N = 1343749186488788370208864268126468085500532955619297241731112031016102249478494305521623227777605396303788888684200283033174880743365923647002974617710404602881 (160 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=1020963706083144771667065996035271713406448527514548734321261 (pp61)
r2=1316157644471013882820099378393648975000925065210117817751215867900602480575035065443233236475032421 (pp100)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 50.25 hours.
Factorization parameters were as follows:
n: 1343749186488788370208864268126468085500532955619297241731112031016102249478494305521623227777605396303788888684200283033174880743365923647002974617710404602881
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 15
c0: -2
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31965568
Relations: 6722290 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 18.44 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 6085121 x 6085345
Matrix solve time: 30.99 hours.
time per square root: 0.48 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 50.25 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_Factory, Msieve

749999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<222>

99683033521449807858198699470946699362147119153<47>

7523848076298911031927117767320783682539979670954090742337234590057698092732099222962797601969659776326809213757504729868869470288581887549890024106368447458457066268448315183<175>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:3393748674844367347
Step 1 took 72188ms
********** Factor found in step 1: 99683033521449807858198699470946699362147119153
Found prime factor of 47 digits: 99683033521449807858198699470946699362147119153
Composite cofactor 7523848076298911031927117767320783682539979670954090742337234590057698092732099222962797601969659776326809213757504729868869470288581887549890024106368447458457066268448315183 has 175 digits

GMP-ECM 7.0.5

7523848076298911031927117767320783682539979670954090742337234590057698092732099222962797601969659776326809213757504729868869470288581887549890024106368447458457066268448315183<175>

117987229236644506519965623297937100376159543<45>

63768325817775473285971124825216393434939128575073480845835163118079779173913938245234264580693294735694886078772092667769489025481<131>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:16255658761667258282
Step 1 took 49062ms
Step 2 took 16563ms
********** Factor found in step 2: 117987229236644506519965623297937100376159543
Found prime factor of 45 digits: 117987229236644506519965623297937100376159543
Composite cofactor 63768325817775473285971124825216393434939128575073480845835163118079779173913938245234264580693294735694886078772092667769489025481 has 131 digits

GMP-ECM 7.0.5

63768325817775473285971124825216393434939128575073480845835163118079779173913938245234264580693294735694886078772092667769489025481<131>

673994314031873390782964217933243282232152046258991<51>
94612557539706262665195688148054729351756386778987016675260935476925324315360391<80>

CADO:

STA:Wed Jul 10 01:18:07 AM AEST 2024 (63768325817775473285971124825216393434939128575073480845835163118079779173913938245234264580693294735694886078772092667769489025481 - C131)

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 63768325817775473285971124825216393434939128575073480845835163118079779173913938245234264580693294735694886078772092667769489025481 2>&1 | tee -a log-52 

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead.
  loc = locale.getdefaultlocale()[1]
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.xk0kh520
Info:Database: Opened connection to database /tmp/cado.xk0kh520/c130.db
Info:root: Set tasks.threads=18 based on --server-threads 18
Info:root: tasks.threads = 18 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9
Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 63768325817775473285971124825216393434939128575073480845835163118079779173913938245234264580693294735694886078772092667769489025481
Info:root: If this computation gets interrupted, it can be resumed with /home/bob/Downloads/Math/cado-nfs/cado-nfs.py /tmp/cado.xk0kh520/c130.parameters_snapshot.0
Info:Server Launcher: Adding VM9 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,VM9
Info:Lattice Sieving: param rels_wanted is 30000000
Info:Complete Factorization / Discrete logarithm: Factoring 63768325817775473285971124825216393434939128575073480845835163118079779173913938245234264580693294735694886078772092667769489025481
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 63768325817775473285971124825216393434939128575073480845835163118079779173913938245234264580693294735694886078772092667769489025481
skew: 131002.225
c0: 1054018651398949946170973737566
c1: -122561287546204628551791444
c2: 473723145852605566663
c3: 12709753979873759
c4: -5273499494
c5: 9240
Y0: 10289101988614478393810752
Y1: 115062353373045840359
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.517e+13) = 1.399e-06
# f(x) = 9240*x^5-5273499494*x^4+12709753979873759*x^3+473723145852605566663*x^2-122561287546204628551791444*x+1054018651398949946170973737566
# g(x) = 115062353373045840359*x+10289101988614478393810752
Info:Polynomial Selection (root optimized): Best overall polynomial was 4-th in list after size optimization
===
Info:Quadratic Characters: Total cpu/real time for characters: 35.3/9.20333
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 94612557539706262665195688148054729351756386778987016675260935476925324315360391 673994314031873390782964217933243282232152046258991
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1129.33/137.194
Info:HTTP server: Got notification to stop serving Workunits
Info:Lattice Sieving: Aggregate statistics: 
Info:Lattice Sieving: Total number of relations: 35437964
Info:Lattice Sieving: Average J: 3830.68 for 330747 special-q, max bucket fill -bkmult 1.0,1s:1.265920
Info:Lattice Sieving: Total time: 164685s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 609.3/664.233
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 462.0999999999999s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.01/0.374983
Info:Filtering - Singleton removal: Total cpu/real time for purge: 355.44/405.471
Info:Square Root: Total cpu/real time for sqrt: 1129.33/137.194
Info:Quadratic Characters: Total cpu/real time for characters: 35.3/9.20333
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 143.27/136.747
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 135.50000000000003s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 604.23
Info:Polynomial Selection (root optimized): Rootsieve time: 603.87
Info:Generate Free Relations: Total cpu/real time for freerel: 219.96/26.2725
Info:Filtering - Merging: Total cpu/real time for merge: 68.91/12.792
Info:Filtering - Merging: Total cpu/real time for replay: 18.36/15.852
Info:Linear Algebra: Total cpu/real time for bwc: 12010.7/1744.89
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6880.04, WCT time 978.68, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (39000 iterations)
Info:Linear Algebra: Lingen CPU time 48.53, WCT time 49.07
Info:Linear Algebra: Mksol: CPU time 4153.73,  WCT time 591.12, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (21000 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55661.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38473/39.000/48.355/59.470/2.274
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 32227/38.100/42.314/55.300/1.601
Info:Polynomial Selection (size optimized): Total time: 5048.76
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 176142/21415 [05:56:55]
Info:root: Cleaning up computation data in /tmp/cado.xk0kh520
94612557539706262665195688148054729351756386778987016675260935476925324315360391 673994314031873390782964217933243282232152046258991

END:Wed Jul 10 07:15:04 AM AEST 2024 (63768325817775473285971124825216393434939128575073480845835163118079779173913938245234264580693294735694886078772092667769489025481 - C131)

56288978793274666413313272902770184335095762588143496013222165761738988056228378434983537317692701003388661894651728406643038811293973547045402997128128282741653719229953111733967<179>

3443053861538899425078242864837846338619577959<46>

16348561787562589589457387495473505439780836475871900583639349525328161628786930444951504209460791676038690765977585454396688281799513<134>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:18123721882704402123
Step 1 took 25344ms
Step 2 took 8188ms
********** Factor found in step 2: 3443053861538899425078242864837846338619577959
Found prime factor of 46 digits: 3443053861538899425078242864837846338619577959
Composite cofactor 16348561787562589589457387495473505439780836475871900583639349525328161628786930444951504209460791676038690765977585454396688281799513 has 134 digits

GMP-ECM 7.0.5

16348561787562589589457387495473505439780836475871900583639349525328161628786930444951504209460791676038690765977585454396688281799513<134>

21462202118788311297894989336657133931474658887248638996614585579<65>
761737388226850701969944957937150429698829430420152470930483973068747<69>

CADO:

STA:Tue Jun 18 04:54:43 PM AEST 2024 (16348561787562589589457387495473505439780836475871900583639349525328161628786930444951504209460791676038690765977585454396688281799513 - C134)

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 16348561787562589589457387495473505439780836475871900583639349525328161628786930444951504209460791676038690765977585454396688281799513 2>&1 | tee -a log-39

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead.
  loc = locale.getdefaultlocale()[1]
Debug:root: Looking for parameter file for c134 in directory /home/bob/Downloads/Math/cado-nfs/parameters/factor
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c135
Debug:Parameters: Reading parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c135
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.nc2eu0up
Info:Database: Opened connection to database /tmp/cado.nc2eu0up/c135.db
Info:root: Set tasks.threads=18 based on --server-threads 18
Info:root: tasks.threads = 18 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9
Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 16348561787562589589457387495473505439780836475871900583639349525328161628786930444951504209460791676038690765977585454396688281799513
Debug:root: Root parameter dictionary:
N = 16348561787562589589457387495473505439780836475871900583639349525328161628786930444951504209460791676038690765977585454396688281799513
name = c135
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 16348561787562589589457387495473505439780836475871900583639349525328161628786930444951504209460791676038690765977585454396688281799513
skew: 59262.779
c0: -21321486094461014179566879226
c1: 2930108537310366372369475
c2: -12023985311792555234
c3: -1739513759954131
c4: -7370058696
c5: 77280
Y0: -53135291315367084479972040
Y1: 604724597771899919
# MurphyE (Bf=1.074e+09,Bg=5.369e+08,area=5.033e+13) = 2.153e-06
# f(x) = 77280*x^5-7370058696*x^4-1739513759954131*x^3-12023985311792555234*x^2+2930108537310366372369475*x-21321486094461014179566879226
# g(x) = 604724597771899919*x-53135291315367084479972040
===
Debug:Command: Process with PID 78048 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 761737388226850701969944957937150429698829430420152470930483973068747 21462202118788311297894989336657133931474658887248638996614585579
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1318.05/160.373
Info:HTTP server: Got notification to stop serving Workunits
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 55043885
Info:Lattice Sieving: Average J: 3795.89 for 326016 special-q, max bucket fill -bkmult 1.0,1s:1.208100
Info:Lattice Sieving: Total time: 185501s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 213.47/193.595
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 193.3s
Info:Linear Algebra: Total cpu/real time for bwc: 16339.5/2305.84
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9726.09, WCT time 1342.03, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (45000 iterations)
Info:Linear Algebra: Lingen CPU time 51.87, WCT time 52.54
Info:Linear Algebra: Mksol: CPU time 5353.46,  WCT time 750.16, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (24000 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 635.72
Info:Polynomial Selection (root optimized): Rootsieve time: 635.34
Info:Filtering - Singleton removal: Total cpu/real time for purge: 223.26/135.262
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 575.06/368.977
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 295.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 427.16/50.728
Info:Quadratic Characters: Total cpu/real time for characters: 39.77/10.3067
Info:Square Root: Total cpu/real time for sqrt: 1318.05/160.373
Info:Generate Factor Base: Total cpu/real time for makefb: 3.19/0.589734
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 63638.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 43833/39.180/49.223/60.350/2.031
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 36945/37.620/42.823/51.290/1.100
Info:Polynomial Selection (size optimized): Total time: 8954.25
Info:Filtering - Merging: Total cpu/real time for merge: 104.07/17.7627
Info:Filtering - Merging: Total cpu/real time for replay: 23.12/20.217
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 204666/25322.6 [07:02:03]
Info:root: Cleaning up computation data in /tmp/cado.nc2eu0up
761737388226850701969944957937150429698829430420152470930483973068747 21462202118788311297894989336657133931474658887248638996614585579

END:Tue Jun 18 11:56:47 PM AEST 2024 (16348561787562589589457387495473505439780836475871900583639349525328161628786930444951504209460791676038690765977585454396688281799513 - C134)

3545290905518297659364179300965089355843379719466040216349059299782038384449057265083878630397761425915446647142534803732915010634126220575921028423225097150181631643958038733179496879590033<190>

2076021256738381576069150877079073393958759724475034174656897024773867023917270820385201555031669018842876645085646919278019673372379380563665584370684715366081498742158280227934651021297171<190>

1147015709643855210898687338935132843<37>
1809932714333075421349608540561452051655265308569792029424558152147753946454146627723515796254300173638326061780226839173465280240215579366925596165859897<154>

Resuming ECM residue saved by @48769aff142e with GMP-ECM 7.0.5-dev on Sun Aug 28 14:57:36 2022 
Input number is 2076021256738381576069150877079073393958759724475034174656897024773867023917270820385201555031669018842876645085646919278019673372379380563665584370684715366081498742158280227934651021297171 (190 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:345827631
Step 1 took 0ms
Step 2 took 10177ms
********** Factor found in step 2: 1147015709643855210898687338935132843
Found prime factor of 37 digits: 1147015709643855210898687338935132843
Prime cofactor 1809932714333075421349608540561452051655265308569792029424558152147753946454146627723515796254300173638326061780226839173465280240215579366925596165859897 has 154 digits

136131911156396029003285067372590796566549044801898343119986039430134553394245674065543875747843233707771<105>

4321701250513041562920557978704497294157<40>
31499611672656785102708008519154726457193271387191077226829612903<65>

136131911156396029003285067372590796566549044801898343119986039430134553394245674065543875747843233707771=4321701250513041562920557978704497294157*31499611672656785102708008519154726457193271387191077226829612903

cado polynomial
n: 136131911156396029003285067372590796566549044801898343119986039430134553394245674065543875747843233707771
skew: 3340.159
c0: 5355389995546689738090
c1: -40831562344456504377
c2: -7203989915860968
c3: 5359614472105
c4: 137622222
c5: 34200
Y0: -70597092458215193644
Y1: 14341492450851437
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.704e-06
# f(x) = 34200*x^5+137622222*x^4+5359614472105*x^3-7203989915860968*x^2-40831562344456504377*x+5355389995546689738090
# g(x) = 14341492450851437*x-70597092458215193644

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 31499611672656785102708008519154726457193271387191077226829612903 4321701250513041562920557978704497294157
Info:Square Root: Total cpu/real time for sqrt: 57.98/24.3119
Info:Filtering - Singleton removal: Total cpu/real time for purge: 16.53/28.8677
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4612355
Info:Lattice Sieving: Average J: 1889.17 for 39011 special-q, max bucket fill -bkmult 1.0,1s:1.297790
Info:Lattice Sieving: Total time: 7800.28s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.53/1.25932
Info:Linear Algebra: Total cpu/real time for bwc: 507.43/282.61
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 293.29, WCT time 162.94, iteration CPU time 0.01, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Linear Algebra: Lingen CPU time 33.78, WCT time 13.21
Info:Linear Algebra: Mksol: CPU time 164.68,  WCT time 96.45, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3328 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.72/41.6514
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.16/33.476
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 33.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 137.54
Info:Polynomial Selection (root optimized): Rootsieve time: 136.94
Info:Filtering - Merging: Merged matrix has 210675 rows and total weight 30709857 (145.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 29.22/15.3079
Info:Filtering - Merging: Total cpu/real time for replay: 7.03/5.83956
Info:Quadratic Characters: Total cpu/real time for characters: 8.1/4.28386
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9544/30.180/36.766/42.510/1.046
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7239/29.660/32.679/37.300/0.883
Info:Polynomial Selection (size optimized): Total time: 503.27
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 41.55/65.018
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 60.3s
Info:Square Root: Total cpu/real time for sqrt: 57.98/24.3119
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 8397/4907.83
Info:root: Cleaning up computation data in /tmp/cado.9ep9_bae
31499611672656785102708008519154726457193271387191077226829612903 4321701250513041562920557978704497294157

cado-nfs-3.0.0

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

576923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923<228>

204940367999660232758704006623910141325195324465346798458526656097214717626388226243527190125611897662463945527829613883577498802048515223887355642030832274912001321<165>

3335092312375546097283713250648590457803<40>
61449683788117899578174574054378922523195616164166536097674774761641383651555918628899078380455204897061151481346900631458907<125>

Resuming ECM residue saved by @48769aff142e with GMP-ECM 7.0.5-dev on Sun Aug 28 15:03:31 2022 
Input number is 204940367999660232758704006623910141325195324465346798458526656097214717626388226243527190125611897662463945527829613883577498802048515223887355642030832274912001321 (165 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2503011176
Step 1 took 0ms
Step 2 took 9293ms
********** Factor found in step 2: 3335092312375546097283713250648590457803
Found prime factor of 40 digits: 3335092312375546097283713250648590457803
Prime cofactor 61449683788117899578174574054378922523195616164166536097674774761641383651555918628899078380455204897061151481346900631458907 has 125 digits

1548930976402015684998114201796310497339189401392125923238519523614444051814015414554813296903001759112875923167983194227538981305325146385530221520543159953480494721260530142685996517433361788480897805040386394737067<217>

5124710962720951777391337171312815476924957001206249671401474302679027654301185250681976053337980133866654848290847532246185702966132991284475609217351505274516331014672589483497157<181>

3200218748395633156115624266733764216645798949969388304008804384344186304622815300410132914625143804992421115545703968332379805956047985206526347359013813431447999390696457042263038413407050768823211030943<205>

113114637193191123449211784622468167422501396533892825485626263922018406615772957421109259091946258205622282063017060295557070332180840442639442388773534857340972197<165>

11300032356802060295037640427693653750984719238453393217684166311013391511730653913661940478286610428632971564152434579179653691939881791822078058303<149>

217583982390696103364183547533179096419548111667115099381337<60>
51934118645331173820752853513105413398059683941903712200442564134919861227805519840421719<89>

217583982390696103364183547533179096419548111667115099381337
51934118645331173820752853513105413398059683941903712200442564134919861227805519840421719

cado-nfs

2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 22.04

9258594440310407304501927237794995489899417847844455149228898791278928542343804615394479550405644943290420273505852748699746144136126697554944372461913717336022939<163>

390083080873849490262054362514209743560539668394674966620067966053382747525049529977314595455336640550849881099743769031670642932291825201102950859479033059119764677472507613590543974521971567<192>

224527281860497876649293775474310371848796024702598310585095024268560214133323150601724154819903596871141999733251417367948951597974608780514004251832175363847679016116193242354471313730165762787361581<201>

84966847801411983333272619901438436677244043627587657265660617176117912454104604254193277718732569836763292637781385997788913503569601921218394835512676357176680108633283550959427581<182>

5164891938389894933016082359746717632628837266756780890605791497624664481237305017732289638574222046547285286401710823253541322996410565249628557230523510418612795148990864772801473059263867375056019455363287793<211>

12911000172146668961955586159407815458770872783611637114821828197624375968325012911000172146668961955586159407815458770872783611637114821828197624375968325012911000172146668961955586159407815458770872783611637114821828197624375968325012911<239>

491437467078196641340861346284092701673803074102250880007720294533023250851294907543032380879975703459665909678568117163764086349870567365910789641420585866033824069058008210240063465660439258162672289901482732441<213>

60900545675327553815245797400642065269<38>
8069508435903738609079760590042060829995353261391356964164397185420252617157628949205697113346738468117871073791602373134379107503939703603320707045355986591702349506165581589<175>

Resuming ECM residue saved by @04a0bebd60d1 with GMP-ECM 7.0.5-dev on Sat Feb 17 12:54:31 2024 
Input number is 491437467078196641340861346284092701673803074102250880007720294533023250851294907543032380879975703459665909678568117163764086349870567365910789641420585866033824069058008210240063465660439258162672289901482732441 (213 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1818259485
Step 1 took 0ms
Step 2 took 2965ms
********** Factor found in step 2: 60900545675327553815245797400642065269
Found prime factor of 38 digits: 60900545675327553815245797400642065269
Prime cofactor 8069508435903738609079760590042060829995353261391356964164397185420252617157628949205697113346738468117871073791602373134379107503939703603320707045355986591702349506165581589 has 175 digits

9292752848058060616444351713078746752162232955672608663160496571075322461032943853472014220022399321574663317913111632792794934831776411818976514754348503683664030075500146862563458924791410561871195002829693728496708086671275199<229>

7435371489494711382701216620995440437694438586092303550307267508197308016550818876009454906400896130820650612856884966503753453844728671178262643634367818905327677976193865159056352302167878949349766566447372167923731<217>

4798303143060361549741021448611276886951<40>

1549583523135311027970126164180220704894631319865894607169642764679430426765222350108483331608067483081887728927053887571587286398768629381110086126154668844076215447810337465781<178>

Resuming ECM residue saved by @48769aff142e with GMP-ECM 7.0.5-dev on Sun Aug 28 15:43:20 2022 
Input number is 7435371489494711382701216620995440437694438586092303550307267508197308016550818876009454906400896130820650612856884966503753453844728671178262643634367818905327677976193865159056352302167878949349766566447372167923731 (217 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3728594695
Step 1 took 1ms
Step 2 took 11429ms
********** Factor found in step 2: 4798303143060361549741021448611276886951
Found prime factor of 40 digits: 4798303143060361549741021448611276886951
Composite cofactor 1549583523135311027970126164180220704894631319865894607169642764679430426765222350108483331608067483081887728927053887571587286398768629381110086126154668844076215447810337465781 has 178 digits

8927016520757226167780453909939475070219600263787023571195032269338807387013469760453153700398608830693908513400139370215087469616435415289432900686893969085262065100764527797<175>

241721997019285066764444805263490740725725727414903496408482023172339696559501270721547054200787606751495105549514910479339762235596450332006549388386488513981675884243883424938347641181<186>

10089170462833086351652001155382424433234494888671364585020840442103027436248342213242710738893856848294899318663551766813245917874221371916940353899963760186038825322183782246563<179>

11731228456494460690001545541303754192972467194643<50>

860026765333998446841359083324475314524880442380554186469824722764018298960118121063745632274865365409668475878993149113658363441<129>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:797706853
Step 1 took 7454ms
Step 2 took 3531ms
********** Factor found in step 2: 11731228456494460690001545541303754192972467194643
Found prime factor of 50 digits: 11731228456494460690001545541303754192972467194643
Composite cofactor 860026765333998446841359083324475314524880442380554186469824722764018298960118121063745632274865365409668475878993149113658363441 has 129 digits
 

GMP-ECM

860026765333998446841359083324475314524880442380554186469824722764018298960118121063745632274865365409668475878993149113658363441<129>

1530932306349379754999715718864277780233<40>
561766684109498790849985304494241145676974144570258387565148992600897026110791832797593577<90>

CADO-NFS

STA:Wed Aug 28 03:39:04 AM AEST 2024 (860026765333998446841359083324475314524880442380554186469824722764018298960118121063745632274865365409668475878993149113658363441 - C129)

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 860026765333998446841359083324475314524880442380554186469824722764018298960118121063745632274865365409668475878993149113658363441 2>&1 | tee -a log-61

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead.
  loc = locale.getdefaultlocale()[1]
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.7r1fsl4c
Info:Database: Opened connection to database /tmp/cado.7r1fsl4c/c130.db
Info:root: Set tasks.threads=18 based on --server-threads 18
Info:root: tasks.threads = 18 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9
Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 860026765333998446841359083324475314524880442380554186469824722764018298960118121063745632274865365409668475878993149113658363441
Info:root: If this computation gets interrupted, it can be resumed with /home/bob/Downloads/Math/cado-nfs/cado-nfs.py /tmp/cado.7r1fsl4c/c130.parameters_snapshot.0
Info:Server Launcher: Adding VM9 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,VM9
Info:Lattice Sieving: param rels_wanted is 30000000
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 860026765333998446841359083324475314524880442380554186469824722764018298960118121063745632274865365409668475878993149113658363441
skew: 36501.85
c0: -6432424555153608371911621896
c1: -1735384492470393859868354
c2: 170629932199452954491
c3: 3457605027447409
c4: -60529159800
c5: 156240
Y0: -10128232515744758195799675
Y1: 20696162892044823859
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.517e+13) = 1.714e-06
# f(x) = 156240*x^5-60529159800*x^4+3457605027447409*x^3+170629932199452954491*x^2-1735384492470393859868354*x-6432424555153608371911621896
# g(x) = 20696162892044823859*x-10128232515744758195799675
Info:Polynomial Selection (root optimized): Best overall polynomial was 2-th in list after size optimization
===
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 1530932306349379754999715718864277780233 561766684109498790849985304494241145676974144570258387565148992600897026110791832797593577
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1160.38/140.432
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Merging: Total cpu/real time for merge: 71.27/13.0579
Info:Filtering - Merging: Total cpu/real time for replay: 18.31/15.8384
Info:Generate Factor Base: Total cpu/real time for makefb: 2.01/0.373232
Info:Linear Algebra: Total cpu/real time for bwc: 11148/1612.16
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6587.71, WCT time 925.53, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (39000 iterations)
Info:Linear Algebra: Lingen CPU time 46.35, WCT time 46.8
Info:Linear Algebra: Mksol: CPU time 3618.17,  WCT time 517.51, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (21000 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 246.63/297.428
Info:Square Root: Total cpu/real time for sqrt: 1160.38/140.432
Info:Quadratic Characters: Total cpu/real time for characters: 32.52/8.54822
Info:Generate Free Relations: Total cpu/real time for freerel: 216.63/25.8172
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 130.31/125.443
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 124.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 472.16/459.303
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 329.59999999999997s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 444.73
Info:Polynomial Selection (root optimized): Rootsieve time: 444.36
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32825937
Info:Lattice Sieving: Average J: 3801.97 for 244409 special-q, max bucket fill -bkmult 1.0,1s:1.214770
Info:Lattice Sieving: Total time: 119990s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 54896
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38030/38.160/47.426/58.380/2.003
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 31688/36.260/41.442/51.180/1.274
Info:Polynomial Selection (size optimized): Total time: 5302.19
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 132829/16275.8 [04:31:16]
Info:root: Cleaning up computation data in /tmp/cado.7r1fsl4c
1530932306349379754999715718864277780233 561766684109498790849985304494241145676974144570258387565148992600897026110791832797593577

END:Wed Aug 28 08:10:22 AM AEST 2024 (860026765333998446841359083324475314524880442380554186469824722764018298960118121063745632274865365409668475878993149113658363441 - C129)

CADO-NFS

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366126945769485932253848733352759871870234713850792780770530775871558736794181993406349512421291471202465258362761907713131988193551416884299322224567466857436235454143046755159048708498675661<192>

2027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027027<256>

749999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<258>

419106200132594080249065976225039998764735242533030056697749361961498727318571356288968452111694507110744901411547927161857462044571773442133008078231550430724779017622384424482839488404373587062635968468343133<210>

53717944462311115528349259615438007<35>

7801977613395872084620593833836750506804473412496743897858932874107175873333953729388259194615221956251219246677584281364230693082168765468018321851425122087186837987923003019<175>

Resuming ECM residue saved by @24c2178661e6 with GMP-ECM 7.0.5-dev on Sun Aug 28 18:04:35 2022 
Input number is 419106200132594080249065976225039998764735242533030056697749361961498727318571356288968452111694507110744901411547927161857462044571773442133008078231550430724779017622384424482839488404373587062635968468343133 (210 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4106361979
Step 1 took 0ms
Step 2 took 4825ms
********** Factor found in step 2: 53717944462311115528349259615438007
Found prime factor of 35 digits: 53717944462311115528349259615438007
Composite cofactor 7801977613395872084620593833836750506804473412496743897858932874107175873333953729388259194615221956251219246677584281364230693082168765468018321851425122087186837987923003019 has 175 digits

388244977404142315078917262407015327911707915538599315653519828965145954228505463900982000962847543962272941395714810769398013221035630535726302820729175833561966486693550474435362387861909026436894661372730708107072788168363728601230995408356067233676887<255>

12206249485137853770734400996968326624402329823078163706157117455095444454554645885023344342105560125341077419669217514532132092049327996445905615935704545669044240435162787752500571406557206182249649833183<206>

18857735713730617788309645828508459596859042786450537432727658426143684387386855904751346820018800400636038358132980919891688733402339509706029994754709879391269061170561001975369879339324206340724999386739490019514173249<221>

13860813000232998373182045997356749363<38>

1360507187667391647725184880680863804964350568602931186778544134399886838144754723558285909549019201997129520821493571716667056645167345367922678179751364903702921924343003616149083323<184>

GPU: factor 13860813000232998373182045997356749363 found in Step 1 with curve 845 (-sigma 3:447640725)
GPU: factor 13860813000232998373182045997356749363 found in Step 1 with curve 1321 (-sigma 3:447641201)
Computing 1792 Step 1 took 190ms of CPU time / 175085ms of GPU time
Throughput: 10.235 curves per second (on average 97.70ms per Step 1)
********** Factor found in step 1: 13860813000232998373182045997356749363
Found prime factor of 38 digits: 13860813000232998373182045997356749363
Composite cofactor 1360507187667391647725184880680863804964350568602931186778544134399886838144754723558285909549019201997129520821493571716667056645167345367922678179751364903702921924343003616149083323 has 184 digits
Peak memory usage: 9428MB

87990973753748310954995683760552588845694626365936290879832305252382189345219706695892520747287208694615848443546550618259964775829604820596687940691498196963539648328414346587084601165534334476499703646560055884294484206205738217847<233>

14221456785250525500545225755775792903377265090654838385339140854289458586120496927941752161667034041772847701375457125004744169138928996552822442614214221394746879991175219504010813276609478037244035972632105672534865629607031582600327634771703574765011<254>

1431483887317542166753682755571041565960435649101474019369245272897691239259543844313202404244878406784004030458157882271592697173374289091912464763876795523916431008042290632627201315894915329311621915808126367002679208901053133087327378746229914726733<253>

950449879609681916106957293118742871625902927385629197820301609428462805728044607781016347737929286528957039665441642377391965530351032822202509187682169560258522367253833481181092383728298061082245596248891141807122037764541883158028133316436446584716765935876314789<267>

2246471398769814011998508571416443798112583952873027334401849960806892260973254693017335966448969865693849274767224533378064028679678377010714090568023473097742616129766005391974400666657033565835527254412199613577310265018182901134537266859155380331<250>

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18923527359620687986000716798207508111986048180687972766947874326952523516256418094578482305589306286859566036717656043385365089075271669541719002046566006919609172334456944990634114108118225949532986211629078052789390203<221>

167545727371559286920000842040633952203<39>

112945448723110423446264841080888025264687134576527102882891904893307509899708529700077203160265403159196469250874400075002577812874306084553716472312642660922171510978767425004746001<183>

GPU: factor 167545727371559286920000842040633952203 found in Step 1 with curve 598 (-sigma 3:1054232183)
Computing 1792 Step 1 took 213ms of CPU time / 175122ms of GPU time
Throughput: 10.233 curves per second (on average 97.72ms per Step 1)
********** Factor found in step 1: 167545727371559286920000842040633952203
Found prime factor of 39 digits: 167545727371559286920000842040633952203
Composite cofactor 112945448723110423446264841080888025264687134576527102882891904893307509899708529700077203160265403159196469250874400075002577812874306084553716472312642660922171510978767425004746001 has 183 digits
Peak memory usage: 9428MB

1731426257166015769056835605559262797434467930249086523112799873086728911275918074513332981818022447735916584307631701153189299979161553726411515581536377174120174384667440197959615420279641953866898250121408237774281614495173297565343<235>

6710268246066366578083300594300946747557671286251286606762493745573996288552299204918721419727110933669888803652681502073739202268116563514654129027433610207482276953560690269382024938468935595375329694089273542071213754797<223>

41049199661592747630968730774862571<35>
163468917820211694877369413729534668770932177352354830527416760570477292669362916486150602552937885967080361890625827904665143303920794496846661307103326411717652505600529811372110727460807<189>

Resuming ECM residue saved by @24c2178661e6 with GMP-ECM 7.0.5-dev on Sun Aug 28 18:52:01 2022 
Input number is 6710268246066366578083300594300946747557671286251286606762493745573996288552299204918721419727110933669888803652681502073739202268116563514654129027433610207482276953560690269382024938468935595375329694089273542071213754797 (223 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3449873812
Step 1 took 0ms
Step 2 took 5471ms
********** Factor found in step 2: 41049199661592747630968730774862571
Found prime factor of 35 digits: 41049199661592747630968730774862571
Prime cofactor 163468917820211694877369413729534668770932177352354830527416760570477292669362916486150602552937885967080361890625827904665143303920794496846661307103326411717652505600529811372110727460807 has 189 digits

44234013652155620521467623883565464735049689019758829753305269269534032902356709150331719257057228833596825703857901764286829373811246956631643043656225519015216541567382562052013671098239704794165200961943252725110049037524367848198340556798073969<248>

206039978517897893126017296716381809<36>

214686557290206587084724030142380481968875813894319256036387552094598402067095249120606748842492084019392159963382575859187334038874650371668324867251923430056884547059434878842986088925403943039265710719433162241<213>

Resuming ECM residue saved by @24c2178661e6 with GMP-ECM 7.0.5-dev on Sun Aug 28 18:56:29 2022 
Input number is 44234013652155620521467623883565464735049689019758829753305269269534032902356709150331719257057228833596825703857901764286829373811246956631643043656225519015216541567382562052013671098239704794165200961943252725110049037524367848198340556798073969 (248 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2034684733
Step 1 took 0ms
Step 2 took 1925ms
********** Factor found in step 2: 206039978517897893126017296716381809
Found prime factor of 36 digits: 206039978517897893126017296716381809
Composite cofactor 214686557290206587084724030142380481968875813894319256036387552094598402067095249120606748842492084019392159963382575859187334038874650371668324867251923430056884547059434878842986088925403943039265710719433162241 has 213 digits

25250558658555814737707419215806136353030768315608227434499039399722290864371030337979437455757436832056751925169104752689420811336958316615866048843922238729286909784685445224345325012963077891395317037928697095937346771251435637942161814765635699<248>

138904065444187420477422533202701776675599741453232853219148018024191532037759681150347908382582541425822450971495033716646818819093197219696226069144591723910575414721238061195575072091209965533271227782294732202222094636265814227850820737821354555405127597274517030564450560339<279>

515166703249329050871063637501801035661353104520917724409496638315022575661655900993011259599350459387477370477108290353099176420459377624772661543682373371104029866344958258699977942528908271074886980290594985666868713431483271300397597195092353851088763<255>

379623080113487430071286165529492120875081186377239766348479956035522542932056944262902356123227326334289020473694193325748678197858371705635108327056174511185434530812329850109647902877935924284838547237679156766266414489978758994016913386462420461966774632110383<264>

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11097120520272572999068333943403205885639541508080273083590043618753566173056132160159830869877961974261419840210687513275910526877503018125920803558152208171321608601813399805478459530787689115149634040879337431138883964554734058256467154411825418337257375588199<263>

860607114179508642506118592936547242017070348961828853361607504810784176383022799013246215780051082765745865158814355881961578790535855563326383303890849949628896048709140507327332191861606853022953883241173671515262470741581821778696673493<240>

484388327279445145631332944559785376489<39>

1776688383498188011533089500105449780409898443697525194737158723683057325616225836551790461901366710350863480783139568694459351534205623072436800458068106417704906152002744277932152861088814119846650637<202>

Resuming ECM residue saved by @24c2178661e6 with GMP-ECM 7.0.5-dev on Sun Aug 28 19:36:39 2022 
Input number is 860607114179508642506118592936547242017070348961828853361607504810784176383022799013246215780051082765745865158814355881961578790535855563326383303890849949628896048709140507327332191861606853022953883241173671515262470741581821778696673493 (240 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3519208692
Step 1 took 0ms
Step 2 took 6106ms
********** Factor found in step 2: 484388327279445145631332944559785376489
Found prime factor of 39 digits: 484388327279445145631332944559785376489
Composite cofactor 1776688383498188011533089500105449780409898443697525194737158723683057325616225836551790461901366710350863480783139568694459351534205623072436800458068106417704906152002744277932152861088814119846650637 has 202 digits

2202218909555655237928950942547109068040779423405238394056540995982986245505609436001498161465146598698072212571910368794530662750260077906030226642885770759543395386411160860364786674119332291346836387772935220061424932565195890550147453743822093608644739434703023584731<271>

977617256094769361716600277699872182800516047912479469499932518991280802450038149949231488622710011579276793192138297657944107851330083666661604347266328818740728840073119461865862750011454089644825016098325594386957602451085112856025246957817709370008176308438796977521845864533211399<285>

31796305367053827800217994240900790829701400187031141330552153044161047446011121922608104525372012872397797624599976044696933390660901959944033188386733152999186256106017931852012393741996296933265450951321924101638739864475298263909702898026010267852165294221791<263>

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