1076388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<100>

55036780742550388875377467170432183897071578801<47>
19557628087369292809877606841207392514058008585095689<53>

N=1076388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
  ( 100 digits)
SNFS difficulty: 101 digits.
Divisors found:
p47 factor: 55036780742550388875377467170432183897071578801
p53 factor: 19557628087369292809877606841207392514058008585095689
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.09 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1076388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 10000000000000000000000000
deg: 4
c4: 31
c0: 32
skew: 1.01
# Murphy_E = 2.754e-07
type: snfs
lss: 1
rlim: 340000
alim: 340000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 340000/340000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [170000, 250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 30228 x 30454
Total sieving time: 0.08 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,101.000,4,0,0,0,0,0,0,0,0,340000,340000,25,25,43,43,2.2,2.2,10000
total time: 0.09 hours.
 --------- CPU info (if available) ----------

56652046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625731<107>

258782251200947101499758515060720599777<39>
218917821916754365094922789690321420145553264463005680892271091023203<69>

N=56652046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625731
  ( 107 digits)
SNFS difficulty: 110 digits.
Divisors found:
p39 factor: 258782251200947101499758515060720599777
p69 factor: 218917821916754365094922789690321420145553264463005680892271091023203
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.22 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 56652046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625731
m: 1000000000000000000000000000
deg: 4
c4: 155
c0: 16
skew: 0.57
# Murphy_E = 1.224e-07
type: snfs
lss: 1
rlim: 480000
alim: 480000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 480000/480000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [240000, 440001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 39562 x 39787
Total sieving time: 0.21 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110.000,4,0,0,0,0,0,0,0,0,480000,480000,25,25,44,44,2.2,2.2,20000
total time: 0.22 hours.
 --------- CPU info (if available) ----------

57559045625471987218816709541935091902619361523445469148854479496887713515473688250713097878293073<98>

7455693117031763140847991477624235146952936823339<49>
7720146835709248131531819990754235818380434152307<49>

N=57559045625471987218816709541935091902619361523445469148854479496887713515473688250713097878293073
  ( 98 digits)
SNFS difficulty: 110 digits.
Divisors found:
p49 factor: 7455693117031763140847991477624235146952936823339
p49 factor: 7720146835709248131531819990754235818380434152307
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.23 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 57559045625471987218816709541935091902619361523445469148854479496887713515473688250713097878293073
m: 1000000000000000000000000000
deg: 4
c4: 775
c0: 8
skew: 0.32
# Murphy_E = 9.401e-08
type: snfs
lss: 1
rlim: 490000
alim: 490000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 490000/490000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [245000, 485001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 54974 x 55199
Total sieving time: 0.22 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110.000,4,0,0,0,0,0,0,0,0,490000,490000,25,25,44,44,2.2,2.2,20000
total time: 0.23 hours.
 --------- CPU info (if available) ----------

299630890733081707182098188265344957674491126670875993942750488507133201597516510867251<87>

584364273075224061993609710857386034272523<42>
512746765226201316259626256297986667743849337<45>

P45 = 512746765226201316259626256297986667743849337
P42 = 584364273075224061993609710857386034272523

25812683186783906208366640021316280309086064481747934985345057287503330668798294697575273114841460165201172395417<113>

39516450002278503905283622305931923829382209<44>
653213615729539380028885417797141299942438832256405169160377269396313<69>

N=25812683186783906208366640021316280309086064481747934985345057287503330668798294697575273114841460165201172395417
  ( 113 digits)
SNFS difficulty: 117 digits.
Divisors found:
p44 factor: 39516450002278503905283622305931923829382209
p69 factor: 653213615729539380028885417797141299942438832256405169160377269396313
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.44 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 25812683186783906208366640021316280309086064481747934985345057287503330668798294697575273114841460165201172395417
m: 100000000000000000000000000000
deg: 4
c4: 31
c0: 32
skew: 1.01
# Murphy_E = 5.107e-08
type: snfs
lss: 1
rlim: 640000
alim: 640000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 640000/640000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [320000, 740001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 68195 x 68420
Total sieving time: 0.43 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117.000,4,0,0,0,0,0,0,0,0,640000,640000,25,25,45,45,2.2,2.2,20000
total time: 0.44 hours.
 --------- CPU info (if available) ----------

50166542564350015864279034414066952280652586063907954764304248442014907917013171830985332002049228823077634919<110>

5907234558276644914257836919427301178285434105537<49>
8492390486519875079978443207715532980087865388363874695963687<61>

N=50166542564350015864279034414066952280652586063907954764304248442014907917013171830985332002049228823077634919
  ( 110 digits)
SNFS difficulty: 118 digits.
Divisors found:
p49 factor: 5907234558276644914257836919427301178285434105537
p61 factor: 8492390486519875079978443207715532980087865388363874695963687
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.60 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 50166542564350015864279034414066952280652586063907954764304248442014907917013171830985332002049228823077634919
m: 100000000000000000000000000000
deg: 4
c4: 155
c0: 16
skew: 0.57
# Murphy_E = 5.202e-08
type: snfs
lss: 1
rlim: 650000
alim: 650000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 650000/650000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [325000, 575001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 53460 x 53685
Total sieving time: 0.59 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,118.000,4,0,0,0,0,0,0,0,0,650000,650000,25,25,45,45,2.2,2.2,50000
total time: 0.60 hours.
 --------- CPU info (if available) ----------

36352547462703586857958605467900978637762768805946850246307260500924119854723063359050109<89>

95635376380237260713295474436003797905281<41>
380116112244586956871370574536361241597661192189<48>

P41 = 95635376380237260713295474436003797905281
P48 = 380116112244586956871370574536361241597661192189

1783627452583822301849730601074224447825950566976145199910815491605599440797163<79>

888740319037078195183334557251426259411<39>
2006916322324979909833420112013875690633<40>

PRP39 = 888740319037078195183334557251426259411
PRP40 = 2006916322324979909833420112013875690633

1416652206870603488382076522207992910790993423536382718457687573720751348658024842243697529<91>

30130413337801464973570511810221351219151<41>
47017350574918225813856321810822630113822760794679<50>

prp50 = 47017350574918225813856321810822630113822760794679
prp41 = 30130413337801464973570511810221351219151

Yafu

43960243115513946077666086872862742233533171514227587331598946831707747214492665897<83>

62475336680371851165724064875261<32>
703641556033824900786481270525602750351642710142877<51>

P32 = 62475336680371851165724064875261
P51 = 703641556033824900786481270525602750351642710142877

1194604222423957349941337130059661830600020428282552947057968725846218204787721137729213764255413627469<103>

64376255907365393089604527192918183401324361<44>
18556596769823650466853266062759220519894475586372197261029<59>

CADO


STA:Thu 28 Jul 2022 13:08:05 AEST (1194604222423957349941337130059661830600020428282552947057968725846218204787721137729213764255413627469 - C103)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1194604222423957349941337130059661830600020428282552947057968725846218204787721137729213764255413627469 2>&1 | tee -a log185

Debug:root: Looking for parameter file for c103 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.hohzm_kx
Info:Database: Opened connection to database /tmp/cado.hohzm_kx/c105.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1194604222423957349941337130059661830600020428282552947057968725846218204787721137729213764255413627469
Debug:root: Root parameter dictionary:
N = 1194604222423957349941337130059661830600020428282552947057968725846218204787721137729213764255413627469
lim0 = 823116
lim1 = 1218966
lpb0 = 24
lpb1 = 24
name = c105
===
Debug:Polynomial Selection (root optimized): Newly arrived stats: {'stats_total_time': '8.81', 'stats_rootsieve_time': '8.77'}
--
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 1194604222423957349941337130059661830600020428282552947057968725846218204787721137729213764255413627469
skew: 2058377.978
c0: -20256671381006109988163661280
c1: -74906383417899764755460
c2: -563068405801349
c3: -1954109950
c4: 3600
Y0: -4268280010711998035479941
Y1: 1630368950755447
# MurphyE (Bf=1.22e+06,Bg=8.23e+05,area=2.56e+12) = 6.26e-09
# f(x) = 3600*x^4-1954109950*x^3-563068405801349*x^2-74906383417899764755460*x-20256671381006109988163661280
# g(x) = 1630368950755447*x-4268280010711998035479941
===
Info:Square Root: finished
Info:Square Root: Factors: 64376255907365393089604527192918183401324361 18556596769823650466853266062759220519894475586372197261029
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11429.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11522/34.130/38.855/43.120/0.686
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11522/33.120/37.678/39.670/1.043
Info:Polynomial Selection (size optimized): Total time: 231.49
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 76.42
Info:Polynomial Selection (root optimized): Rootsieve time: 76.06
Info:Generate Factor Base: Total cpu/real time for makefb: 1.17/0.132995
Info:Generate Free Relations: Total cpu/real time for freerel: 12.94/0.868367
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 1934502
Info:Lattice Sieving: Average J: 1024 for 140837 special-q, max bucket fill: 0.821674
Info:Lattice Sieving: Total CPU time: 10513.8s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 4.79/4.4448
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 4.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 28.33/14.0951
Info:Filtering - Singleton removal: Total cpu/real time for purge: 20.94/12.5666
Info:Filtering - Merging: Total cpu/real time for merge: 77.13/60.0239
Info:Filtering - Merging: Total cpu/real time for replay: 8.27/6.5214
Info:Linear Algebra: Total cpu/real time for bwc: 1416.35/0.000141382
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 59.54
Info:Linear Algebra: Lingen CPU time 47.25, WCT time 4.93
Info:Linear Algebra: Mksol: WCT time 33.24
Info:Quadratic Characters: Total cpu/real time for characters: 7.46/1.74107
Info:Square Root: Total cpu/real time for sqrt: 112.55/16.9251
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 12511.6/995.319
Info:root: Cleaning up computation data in /tmp/cado.hohzm_kx
64376255907365393089604527192918183401324361 18556596769823650466853266062759220519894475586372197261029

END:Thu 28 Jul 2022 13:24:41 AEST (1194604222423957349941337130059661830600020428282552947057968725846218204787721137729213764255413627469 - C103)

135422531641773321363700965505545982178579360063164731281933672656695656985640834789749365821701222841206986642926576148387297<126>

137484802159963862706621863601679176237189870591893<51>
985000011013645819818637859601846084300522939582982171102724218498546956829<75>

Number: n
N=135422531641773321363700965505545982178579360063164731281933672656695656985640834789749365821701222841206986642926576148387297  ( 126 digits)
SNFS difficulty: 134 digits.
Divisors found:

Fri Jul 29 03:25:19 2022  p51 factor: 137484802159963862706621863601679176237189870591893
Fri Jul 29 03:25:19 2022  p75 factor: 985000011013645819818637859601846084300522939582982171102724218498546956829
Fri Jul 29 03:25:19 2022  elapsed time 00:02:39 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 31x10^134+32 = 34(133)8
#
n: 135422531641773321363700965505545982178579360063164731281933672656695656985640834789749365821701222841206986642926576148387297
m: 1000000000000000000000000000000000
deg: 4
c4: 775
c0: 8
skew: 0.32
# Murphy_E = 6.764e-09
type: snfs
lss: 1
rlim: 1240000
alim: 1240000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1240000/1240000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved  special-q in [100000, 6220000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 477846 hash collisions in 5981203 relations (6149460 unique)
Msieve: matrix is 208501 x 208749 (68.5 MB)

Sieving start time : 2022/07/29 03:08:43
Sieving end time  : 2022/07/29 03:19:33

Total sieving time: 0hrs 10min 50secs.

Total relation processing time: 0hrs 0min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 15sec.

Prototype def-par.txt line would be:
snfs,134,4,0,0,0,0,0,0,0,0,1240000,1240000,26,26,47,47,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

77314862224114732790882285287547608916745120269694144800178779122515790932234748380407629488076897559<101>

3013018037592394735165791141690555319047596497<46>
25660271946428352160208353120796740641868130228292012647<56>

CADO


STA:Thu 28 Jul 2022 07:41:31 AEST (77314862224114732790882285287547608916745120269694144800178779122515790932234748380407629488076897559 - C101)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 77314862224114732790882285287547608916745120269694144800178779122515790932234748380407629488076897559 2>&1 | tee -a log181

Debug:root: Looking for parameter file for c101 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c100
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c100
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.1ncaj5tk
Info:Database: Opened connection to database /tmp/cado.1ncaj5tk/c100.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 77314862224114732790882285287547608916745120269694144800178779122515790932234748380407629488076897559
Debug:root: Root parameter dictionary:
N = 77314862224114732790882285287547608916745120269694144800178779122515790932234748380407629488076897559
lim0 = 919082
lim1 = 1051872
lpb0 = 24
lpb1 = 25
name = c100
===
ebug:Polynomial Selection (root optimized): New best polynomial is:
n: 77314862224114732790882285287547608916745120269694144800178779122515790932234748380407629488076897559
skew: 108839.545
c0: -12300922614669221035394731
c1: 144467354485288173849
c2: -11679950867278260
c3: -28279572368
c4: 297960
Y0: -713717491480186556332170
Y1: 5901914404333
# MurphyE (Bf=1.05e+06,Bg=9.19e+05,area=2.21e+12) = 7.18e-09
# f(x) = 297960*x^4-28279572368*x^3-11679950867278260*x^2+144467354485288173849*x-12300922614669221035394731
# g(x) = 5901914404333*x-713717491480186556332170
===
Info:Square Root: finished
Info:Square Root: Factors: 3013018037592394735165791141690555319047596497 25660271946428352160208353120796740641868130228292012647
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 97.98/13.9905
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 2890.72
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2938/34.360/38.414/39.230/0.679
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 2938/33.580/37.106/39.210/0.994
Info:Polynomial Selection (size optimized): Total time: 51.72
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 42.21
Info:Polynomial Selection (root optimized): Rootsieve time: 42
Info:Generate Factor Base: Total cpu/real time for makefb: 1.01/0.109283
Info:Generate Free Relations: Total cpu/real time for freerel: 26.22/1.72907
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2688250
Info:Lattice Sieving: Average J: 956.254 for 122437 special-q, max bucket fill: 0.82132
Info:Lattice Sieving: Total CPU time: 8906.62s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 6.42/5.19075
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 5.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 28.21/9.15323
Info:Filtering - Singleton removal: Total cpu/real time for purge: 19.55/8.50237
Info:Filtering - Merging: Total cpu/real time for merge: 62.33/48.8301
Info:Filtering - Merging: Total cpu/real time for replay: 6.63/5.17755
Info:Linear Algebra: Total cpu/real time for bwc: 906.95/0.000322342
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 35.52
Info:Linear Algebra: Lingen CPU time 36.22, WCT time 3.85
Info:Linear Algebra: Mksol: WCT time 20.1
Info:Quadratic Characters: Total cpu/real time for characters: 6.22/1.44205
Info:Square Root: Total cpu/real time for sqrt: 97.98/13.9905
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 10162.1/845.162
Info:root: Cleaning up computation data in /tmp/cado.1ncaj5tk
3013018037592394735165791141690555319047596497 25660271946428352160208353120796740641868130228292012647

END:Thu 28 Jul 2022 07:55:36 AEST (77314862224114732790882285287547608916745120269694144800178779122515790932234748380407629488076897559 - C101)

26362740868900849787625346521131086976203833744845659693034777992773869652790936462865761378754059412565278699<110>

1842238306256611389102782858323355345658899<43>
14310168656990621456690022029919656765422009685827528691567736160201<68>

CADO


STA:Thu 28 Jul 2022 13:32:56 AEST (26362740868900849787625346521131086976203833744845659693034777992773869652790936462865761378754059412565278699 - C110)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 26362740868900849787625346521131086976203833744845659693034777992773869652790936462865761378754059412565278699 2>&1 | tee -a log186

Debug:root: Looking for parameter file for c110 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.6cue29pw
Info:Database: Opened connection to database /tmp/cado.6cue29pw/c110.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 26362740868900849787625346521131086976203833744845659693034777992773869652790936462865761378754059412565278699
Debug:root: Root parameter dictionary:
N = 26362740868900849787625346521131086976203833744845659693034777992773869652790936462865761378754059412565278699
lim0 = 2910696
lim1 = 3533488
lpb0 = 25
lpb1 = 25
name = c110
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 26362740868900849787625346521131086976203833744845659693034777992773869652790936462865761378754059412565278699
skew: 24281.446
c0: 55938404267251940524735200
c1: -13165152493682924763482
c2: -290454079278615249
c3: -66112103862607
c4: 97016256
c5: 27360
Y0: -1874294187598790038734
Y1: 2851092912722681
# MurphyE (Bf=3.53e+06,Bg=2.91e+06,area=2.96e+13) = 5.01e-09
# f(x) = 27360*x^5+97016256*x^4-66112103862607*x^3-290454079278615249*x^2-13165152493682924763482*x+55938404267251940524735200
# g(x) = 2851092912722681*x-1874294187598790038734
===
Info:Square Root: finished
Info:Square Root: Factors: 1842238306256611389102782858323355345658899 14310168656990621456690022029919656765422009685827528691567736160201
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 27840.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 28456/32.070/38.689/44.730/0.954
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 28456/30.560/35.035/39.440/1.158
Info:Polynomial Selection (size optimized): Total time: 984.96
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 241.13
Info:Polynomial Selection (root optimized): Rootsieve time: 240.22
Info:Generate Factor Base: Total cpu/real time for makefb: 4.3/0.4228
Info:Generate Free Relations: Total cpu/real time for freerel: 35.57/2.33364
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3693232
Info:Lattice Sieving: Average J: 1890.13 for 91790 special-q, max bucket fill: 0.743449
Info:Lattice Sieving: Total CPU time: 23196.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 8.9/9.28566
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.899999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 53.36/23.2752
Info:Filtering - Singleton removal: Total cpu/real time for purge: 34.03/19.2731
Info:Filtering - Merging: Total cpu/real time for merge: 130.91/107.591
Info:Filtering - Merging: Total cpu/real time for replay: 12.9/9.86835
Info:Linear Algebra: Total cpu/real time for bwc: 2942.33/0.000281572
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 117.02
Info:Linear Algebra: Lingen CPU time 69.74, WCT time 7.16
Info:Linear Algebra: Mksol: WCT time 71.38
Info:Quadratic Characters: Total cpu/real time for characters: 12.65/2.9083
Info:Square Root: Total cpu/real time for sqrt: 265.96/37.8475
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 27923.9/2122.12
Info:root: Cleaning up computation data in /tmp/cado.6cue29pw
1842238306256611389102782858323355345658899 14310168656990621456690022029919656765422009685827528691567736160201

END:Thu 28 Jul 2022 14:08:19 AEST (26362740868900849787625346521131086976203833744845659693034777992773869652790936462865761378754059412565278699 - C110)

4011193298486920364369746422515534683757319889992427316879747021538587179902279421616500475403544407698056609699099187429069209<127>

33176732066553792572652177057816261907<38>
8163420354539190018987353266211618545541<40>
14810435380784526662439596581490151924513774755207<50>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 4011193298486920364369746422515534683757319889992427316879747021538587179902279421616500475403544407698056609699099187429069209 (127 digits)
Using B1=10760000, B2=35133391030, polynomial Dickson(12), sigma=1:1934259975
Step 1 took 17066ms
Step 2 took 8976ms
********** Factor found in step 2: 33176732066553792572652177057816261907
Found prime factor of 38 digits: 33176732066553792572652177057816261907
Composite cofactor 120903809647083784378591267561361530712348837117309847287632610522948708993378588656381987 has 90 digits


CADO


STA:Fri 05 Aug 2022 12:34:13 AEST (120903809647083784378591267561361530712348837117309847287632610522948708993378588656381987 - C90)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 120903809647083784378591267561361530712348837117309847287632610522948708993378588656381987 2>&1 | tee -a log197

Debug:root: Looking for parameter file for c90 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c90
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c90
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado._yfl24nv
Info:Database: Opened connection to database /tmp/cado._yfl24nv/c90.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 120903809647083784378591267561361530712348837117309847287632610522948708993378588656381987
Debug:root: Root parameter dictionary:
N = 120903809647083784378591267561361530712348837117309847287632610522948708993378588656381987
lim0 = 404327
lim1 = 811066
lpb0 = 23
lpb1 = 23
name = c90
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 120903809647083784378591267561361530712348837117309847287632610522948708993378588656381987
skew: 388624.579
c0: -6144531347283487983748880
c1: -14467437603258871074
c2: -8730920453890
c3: -142094151
c4: 360
Y0: -5636212263008439147863
Y1: 22683848036051
# MurphyE (Bf=8.11e+05,Bg=4.04e+05,area=1.70e+12) = 2.42e-08
# f(x) = 360*x^4-142094151*x^3-8730920453890*x^2-14467437603258871074*x-6144531347283487983748880
# g(x) = 22683848036051*x-5636212263008439147863
===
Info:Square Root: finished
Info:Square Root: Factors: 8163420354539190018987353266211618545541 14810435380784526662439596581490151924513774755207
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 42.71/7.02545
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 3427.62
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 3596/28.780/33.849/38.730/0.910
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3596/28.600/32.687/35.440/1.093
Info:Polynomial Selection (size optimized): Total time: 70.66
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 32.55
Info:Polynomial Selection (root optimized): Rootsieve time: 32.32
Info:Generate Factor Base: Total cpu/real time for makefb: 0.49/0.104568
Info:Generate Free Relations: Total cpu/real time for freerel: 5.29/0.611085
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 1032391
Info:Lattice Sieving: Average J: 1024 for 17974 special-q, max bucket fill: 0.843721
Info:Lattice Sieving: Total CPU time: 1560.36s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 2.41/3.78359
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 3.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 9.18/4.90627
Info:Filtering - Singleton removal: Total cpu/real time for purge: 6.15/5.54254
Info:Filtering - Merging: Total cpu/real time for merge: 31.82/32.8403
Info:Filtering - Merging: Total cpu/real time for replay: 3.92/4.57634
Info:Linear Algebra: Total cpu/real time for bwc: 641.18/0.000241041
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 16.16
Info:Linear Algebra: Lingen CPU time 557.05, WCT time 73.83
Info:Linear Algebra: Mksol: WCT time 7.1
Info:Quadratic Characters: Total cpu/real time for characters: 2.45/0.868843
Info:Square Root: Total cpu/real time for sqrt: 42.71/7.02545
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 2409.17/399.204
Info:root: Cleaning up computation data in /tmp/cado._yfl24nv
8163420354539190018987353266211618545541 14810435380784526662439596581490151924513774755207

END:Fri 05 Aug 2022 12:40:53 AEST (120903809647083784378591267561361530712348837117309847287632610522948708993378588656381987 - C90)

3587962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<151>

1534513896028918964498904856409085690729103<43>
2338175608737104160796527186311271113306134990241851749040743962367434361449697253044424371484147016425730621<109>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3587962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963 (151 digits)
Using B1=23080000, B2=96188942866, polynomial Dickson(12), sigma=1:3782671387
Step 1 took 44600ms
Step 2 took 18038ms
********** Factor found in step 2: 1534513896028918964498904856409085690729103
Found prime factor of 43 digits: 1534513896028918964498904856409085690729103
Prime cofactor 2338175608737104160796527186311271113306134990241851749040743962367434361449697253044424371484147016425730621 has 109 digits

527507358862585066539816820474979124892225382659688964030797234766118226902164327325657<87>

370425538528158286887027664486571191<36>
1424057749793852401668106000778288309788256084588527<52>

P36 = 370425538528158286887027664486571191
P52 = 1424057749793852401668106000778288309788256084588527

89934656405394720888770757154909295876086950222347783423051256348550479526235276799570306705041543316966989800027143855724791828310471591<137>

3293448700426252042746246101800411506959<40>
27307137467711277167185349299462616288420704383703800944789712348141378551116142633900655433833449<98>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 89934656405394720888770757154909295876086950222347783423051256348550479526235276799570306705041543316966989800027143855724791828310471591 (137 digits)
Using B1=13070000, B2=46845604270, polynomial Dickson(12), sigma=1:2470358705
Step 1 took 25909ms
Step 2 took 11968ms
********** Factor found in step 2: 3293448700426252042746246101800411506959
Found prime factor of 40 digits: 3293448700426252042746246101800411506959
Prime cofactor 27307137467711277167185349299462616288420704383703800944789712348141378551116142633900655433833449 has 98 digits

44295839048925468678555098308184727937814357567443987197073616826703246456332876085962505715592135345221764974851394604481024234110653863740283493369913123<155>

6818815025609154579657471757252206084742526147<46>
6496119763120913750677168881013277562051239711259982222671570147673405772305084788926851485603673612122277409<109>

Number: n
N=44295839048925468678555098308184727937814357567443987197073616826703246456332876085962505715592135345221764974851394604481024234110653863740283493369913123  ( 155 digits)
SNFS difficulty: 158 digits.
Divisors found:

Fri Jul 29 23:09:50 2022  p46 factor: 6818815025609154579657471757252206084742526147
Fri Jul 29 23:09:50 2022  p109 factor: 6496119763120913750677168881013277562051239711259982222671570147673405772305084788926851485603673612122277409
Fri Jul 29 23:09:50 2022  elapsed time 00:06:53 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 31x10^158+32 = 34(157)8
#
n: 44295839048925468678555098308184727937814357567443987197073616826703246456332876085962505715592135345221764974851394604481024234110653863740283493369913123
m: 10000000000000000000000000000000
deg: 5
c5: 3875
c0: 4
skew: 0.25
# Murphy_E = 6.189e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 28750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 769735 hash collisions in 10579132 relations (10500227 unique)
Msieve: matrix is 436913 x 437140 (149.5 MB)

Sieving start time : 2022/07/29 20:25:35
Sieving end time  : 2022/07/29 23:01:56

Total sieving time: 2hrs 36min 21secs.

Total relation processing time: 0hrs 2min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 29sec.

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

7292388021269381883810884358118360112674708046940476219136550773942857657788323473771346394967610573699995221697<112>

405143853529205156317393919920679089947318696605166103<54>
17999503035145277315762264739626221520715936348739414842599<59>

CADO


STA:Wed 03 Aug 2022 17:53:35 AEST (7292388021269381883810884358118360112674708046940476219136550773942857657788323473771346394967610573699995221697 - C112)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 7292388021269381883810884358118360112674708046940476219136550773942857657788323473771346394967610573699995221697 2>&1 | tee -a log196

Debug:root: Looking for parameter file for c112 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.y62sk0fp
Info:Database: Opened connection to database /tmp/cado.y62sk0fp/c110.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 7292388021269381883810884358118360112674708046940476219136550773942857657788323473771346394967610573699995221697
Debug:root: Root parameter dictionary:
N = 7292388021269381883810884358118360112674708046940476219136550773942857657788323473771346394967610573699995221697
lim0 = 2910696
lim1 = 3533488
lpb0 = 25
lpb1 = 25
name = c110
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 7292388021269381883810884358118360112674708046940476219136550773942857657788323473771346394967610573699995221697
skew: 31445.054
c0: -37147653268873933292606440
c1: 3911402785933335591154
c2: 341423743902183359
c3: -5148114140664
c4: -201723674
c5: 1320
Y0: -5875364563101692638041
Y1: 7864545195474307
# MurphyE (Bf=3.53e+06,Bg=2.91e+06,area=2.96e+13) = 4.05e-09
# f(x) = 1320*x^5-201723674*x^4-5148114140664*x^3+341423743902183359*x^2+3911402785933335591154*x-37147653268873933292606440
# g(x) = 7864545195474307*x-5875364563101692638041
===
Info:Square Root: finished
Info:Square Root: Factors: 405143853529205156317393919920679089947318696605166103 17999503035145277315762264739626221520715936348739414842599
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 27840.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 28416/31.510/39.549/44.520/0.905
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 28416/31.320/35.956/40.280/1.271
Info:Polynomial Selection (size optimized): Total time: 973.91
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 288.07
Info:Polynomial Selection (root optimized): Rootsieve time: 287.16
Info:Generate Factor Base: Total cpu/real time for makefb: 3.52/0.584202
Info:Generate Free Relations: Total cpu/real time for freerel: 30.03/3.40478
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4081107
Info:Lattice Sieving: Average J: 1901.78 for 139592 special-q, max bucket fill: 0.78606
Info:Lattice Sieving: Total CPU time: 34294.1s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 10.27/18.0043
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 17.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 78.49/64.1019
Info:Filtering - Singleton removal: Total cpu/real time for purge: 63.39/55.7805
Info:Filtering - Merging: Total cpu/real time for merge: 167.93/172.887
Info:Filtering - Merging: Total cpu/real time for replay: 15.64/12.8147
Info:Linear Algebra: Total cpu/real time for bwc: 5036.43/0.000203848
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 222.35
Info:Linear Algebra: Lingen CPU time 2731.14, WCT time 362.83
Info:Linear Algebra: Mksol: WCT time 133.35
Info:Quadratic Characters: Total cpu/real time for characters: 11.93/3.98251
Info:Square Root: Total cpu/real time for sqrt: 345.58/53.6338
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 41319.3/5235.04
Info:root: Cleaning up computation data in /tmp/cado.y62sk0fp
405143853529205156317393919920679089947318696605166103 17999503035145277315762264739626221520715936348739414842599

END:Wed 03 Aug 2022 19:20:50 AEST (7292388021269381883810884358118360112674708046940476219136550773942857657788323473771346394967610573699995221697 - C112)

1474693199118365612179207609858363995534895389260397405270656246465493396951788226293060470565275971992170083159757186722265835084317438918778541497600227<154>

10081273578420395107714971565216810618489693<44>
146280446378822597226335123057732816246618404447424919168511504323623878220909320793681056077679402657333125439<111>

Number: n
N=1474693199118365612179207609858363995534895389260397405270656246465493396951788226293060470565275971992170083159757186722265835084317438918778541497600227  ( 154 digits)
SNFS difficulty: 161 digits.
Divisors found:

Mon Aug  1 07:58:57 2022  p44 factor: 10081273578420395107714971565216810618489693
Mon Aug  1 07:58:57 2022  p111 factor: 146280446378822597226335123057732816246618404447424919168511504323623878220909320793681056077679402657333125439
Mon Aug  1 07:58:57 2022  elapsed time 00:06:07 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 31x10^160+32 = 34(159)8
#
n: 1474693199118365612179207609858363995534895389260397405270656246465493396951788226293060470565275971992170083159757186722265835084317438918778541497600227
m: 100000000000000000000000000000000
deg: 5
c5: 31
c0: 32
skew: 1.01
# Murphy_E = 5.947e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1334707 hash collisions in 14051934 relations (13618065 unique)
Msieve: matrix is 413221 x 413447 (139.5 MB)

Sieving start time : 2022/08/01 07:45:45
Sieving end time  : 2022/08/01 07:52:29

Total sieving time: 0hrs 6min 44secs.

Total relation processing time: 0hrs 2min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 19sec.

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) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

3884195023107537543408151947131379635947156860038776897638388395039288695720693226390263684318686692877920919792139<115>

634834046972732339388095194455793588302495099407747<51>
6118441570091739474104140900149933139388646450748281137432056537<64>

CADO


STA:Fri 05 Aug 2022 17:43:14 AEST (3884195023107537543408151947131379635947156860038776897638388395039288695720693226390263684318686692877920919792139 - C115)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 3884195023107537543408151947131379635947156860038776897638388395039288695720693226390263684318686692877920919792139 2>&1 | tee -a log198

Debug:root: Looking for parameter file for c115 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.7d_v35yo
Info:Database: Opened connection to database /tmp/cado.7d_v35yo/c115.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 3884195023107537543408151947131379635947156860038776897638388395039288695720693226390263684318686692877920919792139
Debug:root: Root parameter dictionary:
N = 3884195023107537543408151947131379635947156860038776897638388395039288695720693226390263684318686692877920919792139
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 3884195023107537543408151947131379635947156860038776897638388395039288695720693226390263684318686692877920919792139
skew: 4417631.575
c0: 8414979469414880686474918858664
c1: 3290289078560914751944210
c2: -3756382137209382987
c3: -218069027072
c4: 36960
Y0: -3207835456371446325526280727
Y1: 4003831213686968233
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 2.04e-09
# f(x) = 36960*x^4-218069027072*x^3-3756382137209382987*x^2+3290289078560914751944210*x+8414979469414880686474918858664
# g(x) = 4003831213686968233*x-3207835456371446325526280727
===
Info:Square Root: finished
Info:Square Root: Factors: 634834046972732339388095194455793588302495099407747 6118441570091739474104140900149933139388646450748281137432056537
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 431.09/69.3713
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56401/38.590/43.776/47.850/0.629
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56401/36.810/42.989/44.670/1.011
Info:Polynomial Selection (size optimized): Total time: 1131.28
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 161.19
Info:Polynomial Selection (root optimized): Rootsieve time: 160.46
Info:Generate Factor Base: Total cpu/real time for makefb: 1.84/0.355011
Info:Generate Free Relations: Total cpu/real time for freerel: 45.16/5.25551
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6786264
Info:Lattice Sieving: Average J: 4096 for 80086 special-q, max bucket fill: 0.739675
Info:Lattice Sieving: Total CPU time: 67369.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.54/28.8182
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 28.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 95.63/44.9046
Info:Filtering - Singleton removal: Total cpu/real time for purge: 77.07/42.6943
Info:Filtering - Merging: Total cpu/real time for merge: 192.21/173.616
Info:Filtering - Merging: Total cpu/real time for replay: 18.75/15.9385
Info:Linear Algebra: Total cpu/real time for bwc: 6829.41/0.000297546
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 335.91
Info:Linear Algebra: Lingen CPU time 3388.01, WCT time 443.56
Info:Linear Algebra: Mksol: WCT time 185.82
Info:Quadratic Characters: Total cpu/real time for characters: 14.99/5.23757
Info:Square Root: Total cpu/real time for sqrt: 431.09/69.3713
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 76385.6/8871.78
Info:root: Cleaning up computation data in /tmp/cado.7d_v35yo
634834046972732339388095194455793588302495099407747 6118441570091739474104140900149933139388646450748281137432056537

END:Fri 05 Aug 2022 20:11:07 AEST (3884195023107537543408151947131379635947156860038776897638388395039288695720693226390263684318686692877920919792139 - C115)

36989308896525391370752195494463535700649102710958381061473844978999618174875906834669721267659411989308896525391370752195494463535700649102710958381061473844979<161>

15371694128658728207231364680721541969218450931<47>
2406326107384816191550787745028679757945780192410202866075045458011787859062635475490126953586751867810686196388609<115>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 36989308896525391370752195494463535700649102710958381061473844978999618174875906834669721267659411989308896525391370752195494463535700649102710958381061473844979 (161 digits)
Using B1=14550000, B2=46846903750, polynomial Dickson(12), sigma=1:228273830
Step 1 took 33398ms
Step 2 took 13441ms
********** Factor found in step 2: 15371694128658728207231364680721541969218450931
Found prime factor of 47 digits: 15371694128658728207231364680721541969218450931
Prime cofactor 2406326107384816191550787745028679757945780192410202866075045458011787859062635475490126953586751867810686196388609 has 115 digits

4198500279845714241980673784390918311193382426123115519891757829257058044686344754000329563149575292025659351991041134500207<124>

117857850452529266721705298510034542914694872616191047<54>
35623424860754475935439888900323968443993073611288445456970347896528281<71>

4198500279845714241980673784390918311193382426123115519891757829257058044686344754000329563149575292025659351991041134500207=117857850452529266721705298510034542914694872616191047*35623424860754475935439888900323968443993073611288445456970347896528281

cado polynomial
n: 4198500279845714241980673784390918311193382426123115519891757829257058044686344754000329563149575292025659351991041134500207
skew: 0.63
type: snfs
c0: 16
c5: 155
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 155*x^5+16
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5200000
tasks.lim1 = 5200000
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: 117857850452529266721705298510034542914694872616191047 35623424860754475935439888900323968443993073611288445456970347896528281
Info:Square Root: Total cpu/real time for sqrt: 210.18/66.7469
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11753775
Info:Lattice Sieving: Average J: 1894.09 for 472258 special-q, max bucket fill -bkmult 1.0,1s:1.243770
Info:Lattice Sieving: Total time: 62525.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.28/1.3334
Info:Linear Algebra: Total cpu/real time for bwc: 11272.8/2895.98
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7105.44, WCT time 1816.75, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26880 iterations)
Info:Linear Algebra: Lingen CPU time 152.45, WCT time 38.75
Info:Linear Algebra: Mksol: CPU time 3879.47,  WCT time 990.82, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13568 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 61.12/16.8284
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 122.8/110.605
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 96.69999999999999s
Info:Square Root: Total cpu/real time for sqrt: 210.18/66.7469
Info:Quadratic Characters: Total cpu/real time for characters: 31.16/12.4228
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.38/49.6362
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 65.47/74.1854
Info:Filtering - Merging: Merged matrix has 857858 rows and total weight 146441139 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 196.58/54.6889
Info:Filtering - Merging: Total cpu/real time for replay: 31.46/26.3931
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 128083/34646.4
Info:root: Cleaning up computation data in /tmp/cado.tadi8f43
117857850452529266721705298510034542914694872616191047 35623424860754475935439888900323968443993073611288445456970347896528281

cado-nfs-3.0.0

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

34326179354331151057291780426342576724046767482631696322081385442609246687857002626950473872645438187064635027600315436312104932870688088317722965543<149>

159967321833851780572620053531733458162092836832021<51>
214582446969910783039254969313297070911779446782785698635181483852375184714465873288865063910871883<99>

Number: n
N=34326179354331151057291780426342576724046767482631696322081385442609246687857002626950473872645438187064635027600315436312104932870688088317722965543  ( 149 digits)
SNFS difficulty: 172 digits.
Divisors found:

Mon Aug  1 19:11:30 2022  p51 factor: 159967321833851780572620053531733458162092836832021
Mon Aug  1 19:11:30 2022  p99 factor: 214582446969910783039254969313297070911779446782785698635181483852375184714465873288865063910871883
Mon Aug  1 19:11:30 2022  elapsed time 00:16:32 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 31x10^172+32 = 34(171)8
#
n: 34326179354331151057291780426342576724046767482631696322081385442609246687857002626950473872645438187064635027600315436312104932870688088317722965543
m: 10000000000000000000000000000000000
deg: 5
c5: 775
c0: 8
skew: 0.40
# Murphy_E = 1.757e-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, 15450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1143612 hash collisions in 11855545 relations (11445353 unique)
Msieve: matrix is 889958 x 890184 (310.6 MB)

Sieving start time : 2022/08/01 17:09:48
Sieving end time  : 2022/08/01 18:54:30

Total sieving time: 1hrs 44min 42secs.

Total relation processing time: 0hrs 12min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 7sec.

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) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

162446822246704530400822337255533253178927104765833429753382666861183635756914155972425542761034226602207767599174309003620363243671071805268391495583961740524424456149<168>

68997255085913660180032801127380397489421119135396918207<56>
2354395432752068198393398129274628355646429342787411020028756225096516158107245403970221975650407346217213344107<112>

Number: n
N=162446822246704530400822337255533253178927104765833429753382666861183635756914155972425542761034226602207767599174309003620363243671071805268391495583961740524424456149  ( 168 digits)
SNFS difficulty: 173 digits.
Divisors found:

Sat Jul 30 22:20:26 2022  p56 factor: 68997255085913660180032801127380397489421119135396918207
Sat Jul 30 22:20:26 2022  p112 factor: 2354395432752068198393398129274628355646429342787411020028756225096516158107245403970221975650407346217213344107
Sat Jul 30 22:20:26 2022  elapsed time 00:27:16 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 31x10^ 173+32 = 34(172)8
#
n: 162446822246704530400822337255533253178927104765833429753382666861183635756914155972425542761034226602207767599174309003620363243671071805268391495583961740524424456149
m: 10000000000000000000000000000000000
deg: 5
c5: 3875
c0: 4
skew: 0.25
# Murphy_E = 1.597e-10
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 37150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 894077 hash collisions in 10579672 relations (10362333 unique)
Msieve: matrix is 1058722 x 1058948 (368.1 MB)

Sieving start time : 2022/07/30 17:25:29
Sieving end time  : 2022/07/30 21:11:21

Total sieving time: 3hrs 45min 52secs.

Total relation processing time: 0hrs 18min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 9sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

136079505548532097204663576344992274195814018822868380390504284309594044107318443601629442337406939176850681275460036521983424638291894929063070655991009973310858266610479<171>

11505316587778779740090587014826486778859968371785799<53>
11827532472516138902471774259337279996894442957583134700982580515360007220797797088666712227620938696859451533556431321<119>

Number: n
N=136079505548532097204663576344992274195814018822868380390504284309594044107318443601629442337406939176850681275460036521983424638291894929063070655991009973310858266610479  ( 171 digits)
SNFS difficulty: 174 digits.
Divisors found:

Sat Jul 30 17:23:57 2022  p53 factor: 11505316587778779740090587014826486778859968371785799
Sat Jul 30 17:23:57 2022  p119 factor: 11827532472516138902471774259337279996894442957583134700982580515360007220797797088666712227620938696859451533556431321
Sat Jul 30 17:23:57 2022  elapsed time 00:15:50 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 31x10^ 174+32 = 34(173)8
#
n: 136079505548532097204663576344992274195814018822868380390504284309594044107318443601629442337406939176850681275460036521983424638291894929063070655991009973310858266610479
m: 50000000000000000000000000000000000
deg: 5
c5: 31
c0: 10
skew: 0.80
# Murphy_E = 1.603e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1318985 hash collisions in 11948143 relations (11326778 unique)
Msieve: matrix is 841960 x 842185 (293.2 MB)

Sieving start time : 2022/07/30 16:31:33
Sieving end time  : 2022/07/30 17:07:48

Total sieving time: 0hrs 36min 15secs.

Total relation processing time: 0hrs 10min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 52sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

1076388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<175>

132616906600590436837993928224517484935987<42>
8116528401093745550571145532681139998966332481294495444929992628142780759646287436517093144731453447881935325423093347068637406392547<133>

Number: 34448_175
N = 1076388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 (175 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=132616906600590436837993928224517484935987 (pp42)
r2=8116528401093745550571145532681139998966332481294495444929992628142780759646287436517093144731453447881935325423093347068637406392547 (pp133)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 8.24 hours.
Factorization parameters were as follows:
n: 1076388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 100000000000000000000000000000000000
deg: 5
c5: 31
c0: 32
skew: 1.01
# Murphy_E = 1.52e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 17288025
Relations: 2257850 relations
Pruned matrix : 1270174 x 1270410
Total sieving time: 7.24 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.80 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 8.24 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 2.19GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

47919119214151464145816935057893819464160393503632855758611443285129945228735903227810684471<92>

148237000497679454837106884059453650967723<42>
323260178317636722479202438204460336158295520832677<51>

P42 = 148237000497679454837106884059453650967723
P51 = 323260178317636722479202438204460336158295520832677

80504592689200759655989941830636538939235548225124566037902057213629896510772376467313458225262863642182229190963480813744176887444503145029650121436984178191<158>

4482935748283129826574460240612910664413025591977322402440369423<64>
17958007254516714116509288341551187802218584303563099203481512539880765427723593333999142326017<95>

Number: n
N=80504592689200759655989941830636538939235548225124566037902057213629896510772376467313458225262863642182229190963480813744176887444503145029650121436984178191  ( 158 digits)
SNFS difficulty: 178 digits.
Divisors found:

Mon Aug  1 03:09:15 2022  p64 factor: 4482935748283129826574460240612910664413025591977322402440369423
Mon Aug  1 03:09:15 2022  p95 factor: 17958007254516714116509288341551187802218584303563099203481512539880765427723593333999142326017
Mon Aug  1 03:09:15 2022  elapsed time 00:17:44 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 31x10^178+32 = 34(177)8
#
n: 80504592689200759655989941830636538939235548225124566037902057213629896510772376467313458225262863642182229190963480813744176887444503145029650121436984178191
m: 100000000000000000000000000000000000
deg: 5
c5: 3875
c0: 4
skew: 0.25
# Murphy_E = 1.008e-10
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2032845 hash collisions in 14455342 relations (13163549 unique)
Msieve: matrix is 937477 x 937703 (324.0 MB)

Sieving start time : 2022/08/01 00:32:09
Sieving end time  : 2022/08/01 02:50:34

Total sieving time: 2hrs 18min 25secs.

Total relation processing time: 0hrs 12min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 9sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6600000,6600000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

7291594847537505692203949531597377165447215858165132996270737273222773084259041271918645350321174680448346518937424579190486837856523653877946665510279899770639869719<166>

164428524103690909207367793049317878131964759985294501342378515789340718097<75>
44345072652597214762989438945362287942331393552773577787621839394617574177995447326471516327<92>

Number: n
N=7291594847537505692203949531597377165447215858165132996270737273222773084259041271918645350321174680448346518937424579190486837856523653877946665510279899770639869719  ( 166 digits)
SNFS difficulty: 181 digits.
Divisors found:

Fri Aug  5 17:29:11 2022  p75 factor: 164428524103690909207367793049317878131964759985294501342378515789340718097
Fri Aug  5 17:29:11 2022  p92 factor: 44345072652597214762989438945362287942331393552773577787621839394617574177995447326471516327
Fri Aug  5 17:29:11 2022  elapsed time 00:12:32 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 31x10^180+32 = 34(179)8
#
n: 7291594847537505692203949531597377165447215858165132996270737273222773084259041271918645350321174680448346518937424579190486837856523653877946665510279899770639869719
m: 1000000000000000000000000000000000000
deg: 5
c5: 31
c0: 32
skew: 1.01
# Murphy_E = 9.555e-11
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 8300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1383986 hash collisions in 12665840 relations (12031465 unique)
Msieve: matrix is 726025 x 726254 (250.8 MB)

Sieving start time : 2022/08/05 15:15:59
Sieving end time  : 2022/08/05 17:15:56

Total sieving time: 1hrs 59min 57secs.

Total relation processing time: 0hrs 7min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 27sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

46534673916228460150227137244503624540717779631959365562467906086182936629741553025990726209913530770047377702073368908641206735963100825687236073342969313294722163378376495894621<179>

256914425795444470994048371724487446600018681<45>
181129081296818323441517559526766727456134928799330693699716255458374169117331936445485759439775671994424850106764666398386695211492741<135>

Number: n
N=46534673916228460150227137244503624540717779631959365562467906086182936629741553025990726209913530770047377702073368908641206735963100825687236073342969313294722163378376495894621  ( 179 digits)
SNFS difficulty: 186 digits.
Divisors found:

Wed Aug  3 12:54:06 2022  p45 factor: 256914425795444470994048371724487446600018681
Wed Aug  3 12:54:06 2022  p135 factor: 181129081296818323441517559526766727456134928799330693699716255458374169117331936445485759439775671994424850106764666398386695211492741
Wed Aug  3 12:54:06 2022  elapsed time 00:17:52 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 31x10^185+32 = 34(184)8
#
n: 46534673916228460150227137244503624540717779631959365562467906086182936629741553025990726209913530770047377702073368908641206735963100825687236073342969313294722163378376495894621
m: 10000000000000000000000000000000000000
deg: 5
c5: 31
c0: 32
skew: 1.01
# Murphy_E = 5.982e-11
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1499955 hash collisions in 12479093 relations (11680585 unique)
Msieve: matrix is 915800 x 916027 (318.6 MB)

Sieving start time : 2022/08/03 09:57:14
Sieving end time  : 2022/08/03 12:35:56

Total sieving time: 2hrs 38min 42secs.

Total relation processing time: 0hrs 12min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 6sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

1126400327411708275758022980830534964340137262611160530305071636245530136988727185799717507443064896985816832432001509584179063558487310405138538293509<151>

13081763645721827456776721420995655337182310220165583028186553<62>
86104623039881836566573037410908329393815666602616799787857316439992737658989676753345453<89>

Number: n
N=1126400327411708275758022980830534964340137262611160530305071636245530136988727185799717507443064896985816832432001509584179063558487310405138538293509  ( 151 digits)
SNFS difficulty: 187 digits.
Divisors found:

Thu Oct 13 18:18:13 2022  p62 factor: 13081763645721827456776721420995655337182310220165583028186553
Thu Oct 13 18:18:13 2022  p89 factor: 86104623039881836566573037410908329393815666602616799787857316439992737658989676753345453
Thu Oct 13 18:18:13 2022  elapsed time 00:34:36 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 31x10^186+32 = 34(185)8
#
n: 1126400327411708275758022980830534964340137262611160530305071636245530136988727185799717507443064896985816832432001509584179063558487310405138538293509
m: 10000000000000000000000000000000000000
deg: 5
c5: 155
c0: 16
skew: 0.63
# Murphy_E = 5.083e-11
type: snfs
lss: 1
rlim: 9200000
alim: 9200000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 17400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1517997 hash collisions in 13875483 relations (13193654 unique)
Msieve: matrix is 1167449 x 1167675 (406.0 MB)

Sieving start time : 2022/10/13 13:47:14
Sieving end time  : 2022/10/13 17:43:03

Total sieving time: 3hrs 55min 49secs.

Total relation processing time: 0hrs 23min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 16sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9200000,9200000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1076388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<187>

152090929350326043768258329258051853017512554639124251533<57>
2214490203462391676421045780105156239209974141992250809385473461<64>
3195892253375316811900124829507865038364778777684272695321858239753<67>

Number: n
N=1076388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889  ( 187 digits)
SNFS difficulty: 187 digits.
Divisors found:

Wed Aug  3 17:02:39 2022  found factor: 3195892253375316811900124829507865038364778777684272695321858239753
Wed Aug  3 17:05:32 2022  p57 factor: 152090929350326043768258329258051853017512554639124251533
Wed Aug  3 17:05:32 2022  p64 factor: 2214490203462391676421045780105156239209974141992250809385473461
Wed Aug  3 17:05:32 2022  p67 factor: 3195892253375316811900124829507865038364778777684272695321858239753
Wed Aug  3 17:05:32 2022  elapsed time 00:27:45 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 31x10^187+32 = 34(186)8
#
n: 1076388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 10000000000000000000000000000000000000
deg: 5
c5: 775
c0: 8
skew: 0.40
# Murphy_E = 4.356e-11
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1754583 hash collisions in 12720729 relations (11620865 unique)
Msieve: matrix is 1094410 x 1094637 (382.3 MB)

Sieving start time : 2022/08/03 12:56:34
Sieving end time  : 2022/08/03 16:37:20

Total sieving time: 3hrs 40min 46secs.

Total relation processing time: 0hrs 19min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 19sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

3780947073895135501489569451404498651949564294842820015598862401821299291070679801432757255223493352907912486751534191042208164672779471197388977121833<151>

12076298618769294706429154629643004851162206611643553743199<59>
313088239472539215427516478885923050839503397889811381174503036517460257185573932681425672567<93>

3780947073895135501489569451404498651949564294842820015598862401821299291070679801432757255223493352907912486751534191042208164672779471197388977121833=12076298618769294706429154629643004851162206611643553743199*313088239472539215427516478885923050839503397889811381174503036517460257185573932681425672567

cado polynomial
n: 3780947073895135501489569451404498651949564294842820015598862401821299291070679801432757255223493352907912486751534191042208164672779471197388977121833
skew: 0.25
type: snfs
c0: 4
c5: 3875
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 3875*x^5+4
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9700000
tasks.lim1 = 9700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 313088239472539215427516478885923050839503397889811381174503036517460257185573932681425672567 12076298618769294706429154629643004851162206611643553743199
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 606.33/196.232
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 101.12/94.9868
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 94.30000000000001s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.09/2.01597
Info:Quadratic Characters: Total cpu/real time for characters: 66.97/28.3047
Info:Filtering - Singleton removal: Total cpu/real time for purge: 290.68/282.378
Info:Filtering - Merging: Merged matrix has 1881628 rows and total weight 321163492 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 539.75/151.087
Info:Filtering - Merging: Total cpu/real time for replay: 71.77/89.2522
Info:Generate Free Relations: Total cpu/real time for freerel: 128.38/34.7474
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24569773
Info:Lattice Sieving: Average J: 1895.96 for 1806951 special-q, max bucket fill -bkmult 1.0,1s:1.164310
Info:Lattice Sieving: Total time: 327443s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 426.96/442.942
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 318.0s
Info:Linear Algebra: Total cpu/real time for bwc: 66537.3/17512.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 42841.56, WCT time 11037.89, iteration CPU time 0.17, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (58880 iterations)
Info:Linear Algebra: Lingen CPU time 277.74, WCT time 283.55
Info:Linear Algebra: Mksol: CPU time 22969.16,  WCT time 5961.64, iteration CPU time 0.19, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (29440 iterations)
Info:Square Root: Total cpu/real time for sqrt: 606.33/196.232
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 675030/182404
Info:root: Cleaning up computation data in /tmp/cado.hat0wgyu
313088239472539215427516478885923050839503397889811381174503036517460257185573932681425672567 12076298618769294706429154629643004851162206611643553743199

cado-nfs-3.0.0

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

124630804925567169703565834498245646349621886896765198677651080276787680260136094875429051006270325546060424523743147204206410135681484213360527<144>

759328080240302402110783647155593857030727866052725954562117918217233<69>
164133012025744672379429521684382771403612252517152281850618688344187490719<75>

124630804925567169703565834498245646349621886896765198677651080276787680260136094875429051006270325546060424523743147204206410135681484213360527=759328080240302402110783647155593857030727866052725954562117918217233*164133012025744672379429521684382771403612252517152281850618688344187490719

cado polynomial
n: 124630804925567169703565834498245646349621886896765198677651080276787680260136094875429051006270325546060424523743147204206410135681484213360527
skew: 1.01
type: snfs
c0: 32
c5: 31
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 31*x^5+32
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10900000
tasks.lim1 = 10900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 164133012025744672379429521684382771403612252517152281850618688344187490719 759328080240302402110783647155593857030727866052725954562117918217233
Info:Square Root: Total cpu/real time for sqrt: 1735.99/231.103
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24591125
Info:Lattice Sieving: Average J: 1894.04 for 1795675 special-q, max bucket fill -bkmult 1.0,1s:1.084360
Info:Lattice Sieving: Total time: 594170s
Info:Linear Algebra: Total cpu/real time for bwc: 87485/16537.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 56421.35, WCT time 10699.73, iteration CPU time 0.15, COMM 0.0, cpu-wait 0.02, comm-wait 0.0 (60160 iterations)
Info:Linear Algebra: Lingen CPU time 1012.95, WCT time 89.44
Info:Linear Algebra: Mksol: CPU time 29719.29,  WCT time 5650.57, iteration CPU time 0.16, COMM 0.0, cpu-wait 0.02, comm-wait 0.0 (30208 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 409.76/175.511
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 179.06/55.0918
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 54.70000000000001s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 620.32/229.822
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 181.8s
Info:Square Root: Total cpu/real time for sqrt: 1735.99/231.103
Info:Generate Free Relations: Total cpu/real time for freerel: 144.46/13.3773
Info:Quadratic Characters: Total cpu/real time for characters: 83.29/19.144
Info:Generate Factor Base: Total cpu/real time for makefb: 5.3/0.953442
Info:Filtering - Merging: Merged matrix has 1921713 rows and total weight 327557848 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 658.94/70.5184
Info:Filtering - Merging: Total cpu/real time for replay: 67.62/54.6065
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.25076e+06/314998
Info:root: Cleaning up computation data in /tmp/cado.swxg1b0j
164133012025744672379429521684382771403612252517152281850618688344187490719 759328080240302402110783647155593857030727866052725954562117918217233

cado-nfs-3.0.0

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

1081857439073657157295502956910278336829860180559752518324780180274150590776625703581028434660139188369839679547486401626429293695246240933049738226587<151>

11533065334778031203150530293080584857986038187230963573696977210397<68>
93804847858730950865054907865906600370682651231440014847719571895941535917578197271<83>

1081857439073657157295502956910278336829860180559752518324780180274150590776625703581028434660139188369839679547486401626429293695246240933049738226587=11533065334778031203150530293080584857986038187230963573696977210397*93804847858730950865054907865906600370682651231440014847719571895941535917578197271

cado polynomial
n: 1081857439073657157295502956910278336829860180559752518324780180274150590776625703581028434660139188369839679547486401626429293695246240933049738226587
skew: 0.25
type: snfs
c0: 4
c5: 3875
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 3875*x^5+4
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11800000
tasks.lim1 = 11800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 11533065334778031203150530293080584857986038187230963573696977210397 93804847858730950865054907865906600370682651231440014847719571895941535917578197271
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 760.33/244.752
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 116.73/118.93
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 117.60000000000001s
Info:Quadratic Characters: Total cpu/real time for characters: 82.04/35.6938
Info:Filtering - Singleton removal: Total cpu/real time for purge: 421.01/421.771
Info:Filtering - Merging: Merged matrix has 2362974 rows and total weight 402966306 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 701.72/194.75
Info:Filtering - Merging: Total cpu/real time for replay: 106.99/393.951
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28197084
Info:Lattice Sieving: Average J: 1895.65 for 2823124 special-q, max bucket fill -bkmult 1.0,1s:1.143190
Info:Lattice Sieving: Total time: 549859s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 555.24/580.348
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 415.2s
Info:Linear Algebra: Total cpu/real time for bwc: 110652/28941.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 71158.47, WCT time 18328.34, iteration CPU time 0.23, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (74240 iterations)
Info:Linear Algebra: Lingen CPU time 402.77, WCT time 399.13
Info:Linear Algebra: Mksol: CPU time 38014.82,  WCT time 9803.94, iteration CPU time 0.24, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (37376 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 5/2.32072
Info:Generate Free Relations: Total cpu/real time for freerel: 127.13/34.3457
Info:Square Root: Total cpu/real time for sqrt: 760.33/244.752
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.1596e+06/219621
Info:root: Cleaning up computation data in /tmp/cado.ympoa8kl
11533065334778031203150530293080584857986038187230963573696977210397 93804847858730950865054907865906600370682651231440014847719571895941535917578197271

cado-nfs-3.0.0

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

141764481936925414466705278636108312511550584899645374057288243185439748878939402020969065363121430821<102>

1491095827185823708441802897353967629807<40>
95074024990386085069838433833247793645218423858009884582940203<62>

N=141764481936925414466705278636108312511550584899645374057288243185439748878939402020969065363121430821
  ( 102 digits)
Divisors found:
p40 factor: 1491095827185823708441802897353967629807
p62 factor: 95074024990386085069838433833247793645218423858009884582940203
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.84 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 141764481936925414466705278636108312511550584899645374057288243185439748878939402020969065363121430821
skew: 728505.98
c0: -456427197310298751101552884
c1: 6970633830072301481544
c2: 3634690015488401
c3: -12217208596
c4: 12180
Y0: -1847063237077674448957535
Y1: 29302660795519
rlim: 2080000
alim: 2080000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 2080000/2080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1040000, 1440001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 251095 x 251323
Total sieving time: 1.78 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,101,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2080000,2080000,26,26,52,52,2.5,2.5,100000
total time: 1.84 hours.
 --------- CPU info (if available) ----------

5796647818457536780515259849094622179996144117604153398733646074205306403145639939570279659627524744470768582248175518332974599102586757507<139>

481362840754879806598973665359080771782387654269103<51>
12042158903182377344804675822824289786179069447507643501431131080344800375618674699669869<89>

5796647818457536780515259849094622179996144117604153398733646074205306403145639939570279659627524744470768582248175518332974599102586757507=481362840754879806598973665359080771782387654269103*12042158903182377344804675822824289786179069447507643501431131080344800375618674699669869

cado polynomial
n: 5796647818457536780515259849094622179996144117604153398733646074205306403145639939570279659627524744470768582248175518332974599102586757507
skew: 1.01
type: snfs
c0: 32
c5: 31
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 31*x^5+32
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13200000
tasks.lim1 = 13200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 12042158903182377344804675822824289786179069447507643501431131080344800375618674699669869 481362840754879806598973665359080771782387654269103
Info:Square Root: Total cpu/real time for sqrt: 1169.5/365.799
Info:Generate Free Relations: Total cpu/real time for freerel: 118.82/31.3361
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 536.37/566.251
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 469.0s
Info:Square Root: Total cpu/real time for sqrt: 1169.5/365.799
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 124.25/119.003
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 118.19999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 416.29/409.018
Info:Filtering - Merging: Merged matrix has 2383847 rows and total weight 405965997 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 656.78/179.543
Info:Filtering - Merging: Total cpu/real time for replay: 90.59/82.7865
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28078491
Info:Lattice Sieving: Average J: 1893.49 for 2740270 special-q, max bucket fill -bkmult 1.0,1s:1.148490
Info:Lattice Sieving: Total time: 613331s
Info:Linear Algebra: Total cpu/real time for bwc: 98381.2/25227.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 62998.72, WCT time 16074.5, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (74752 iterations)
Info:Linear Algebra: Lingen CPU time 514.31, WCT time 130.35
Info:Linear Algebra: Mksol: CPU time 34028.06,  WCT time 8739.73, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37376 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 81.89/35.6652
Info:Generate Factor Base: Total cpu/real time for makefb: 5.54/2.59947
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.25642e+06/333743
Info:root: Cleaning up computation data in /tmp/cado.cobl543o
12042158903182377344804675822824289786179069447507643501431131080344800375618674699669869 481362840754879806598973665359080771782387654269103

cado-nfs-3.0.0

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

7522309789185267151435848573696365950973632312271596021196786029753542443899013074287104012474573063021736319674678740304355704100509081118630512913<148>

48094738124345740918031073388365736603197625379<47>
230338963341470284610794963129711081990019890883<48>
679025747982576668616417872513778255867737887996948009<54>

Number: n
N=156406086872473167338768726316854390080609866631872528833082228650579187535055636302971072307204101947  ( 102 digits)
Divisors found:

Wed Oct  5 02:29:25 2022  p48 factor: 230338963341470284610794963129711081990019890883
Wed Oct  5 02:29:25 2022  p54 factor: 679025747982576668616417872513778255867737887996948009
Wed Oct  5 02:29:25 2022  elapsed time 00:03:08 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 34(197)8 
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
# Input number is 7522309789185267151435848573696365950973632312271596021196786029753542443899013074287104012474573063021736319674678740304355704100509081118630512913 (148 digits)
# Using B1=27420000, B2=144286522396, polynomial Dickson(12), sigma=1:2063683394
# Step 1 took 50391ms
# Step 2 took 19413ms
# ********** Factor found in step 2: 48094738124345740918031073388365736603197625379
# Found prime factor of 47 digits: 48094738124345740918031073388365736603197625379
# Composite cofactor 156406086872473167338768726316854390080609866631872528833082228650579187535055636302971072307204101947 has 102 digits
#

n: 156406086872473167338768726316854390080609866631872528833082228650579187535055636302971072307204101947

type: gnfs

Y0: -1984709356655981070483674
Y1: 28346030973929
c0: 122355024633675591452384613
c1: -1141339263008664418057
c2: -10738956312732612
c3: 8856915348
c4: 10080

# skew 581327.95, size 7.511e-14, alpha -5.015, combined = 1.089e-08 rroots = 4

skew: 581327.95

rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
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 421093 hash collisions in 6772515 relations (6807880 unique)
Msieve: matrix is 219774 x 220000 (76.1 MB)

Sieving start time : 2022/10/05 02:21:21
Sieving end time  : 2022/10/05 02:26:05

Total sieving time: 0hrs 4min 44secs.

Total relation processing time: 0hrs 1min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 13sec.

Prototype def-par.txt line would be:
gnfs,101,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1615163131180907473272173305541638455251852766224682753853768780115520125122346447398349494214299196060173564602005885477588926311723829651939<142>

3736171702954050452938029271851900027261057433<46>
432304310292768057111711294397220240342854852568034534925775080901059341517320611019963207845083<96>

1615163131180907473272173305541638455251852766224682753853768780115520125122346447398349494214299196060173564602005885477588926311723829651939=3736171702954050452938029271851900027261057433*432304310292768057111711294397220240342854852568034534925775080901059341517320611019963207845083

cado polynomial
n: 1615163131180907473272173305541638455251852766224682753853768780115520125122346447398349494214299196060173564602005885477588926311723829651939
skew: 0.80
type: snfs
c0: 10
c5: 31
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 31*x^5+10
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15100000
tasks.lim1 = 15100000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 432304310292768057111711294397220240342854852568034534925775080901059341517320611019963207845083 3736171702954050452938029271851900027261057433
Info:Square Root: Total cpu/real time for sqrt: 621.58/203.987
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 114.41/112.877
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 111.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 396.35/382.721
Info:Filtering - Merging: Merged matrix has 2242445 rows and total weight 382278483 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 629.11/174.58
Info:Filtering - Merging: Total cpu/real time for replay: 87.27/78.9072
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26015607
Info:Lattice Sieving: Average J: 3790.27 for 1335851 special-q, max bucket fill -bkmult 1.0,1s:1.114640
Info:Lattice Sieving: Total time: 550098s
Info:Linear Algebra: Total cpu/real time for bwc: 86967.8/22892.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 55548.89, WCT time 14534.27, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (70144 iterations)
Info:Linear Algebra: Lingen CPU time 507.98, WCT time 131.05
Info:Linear Algebra: Mksol: CPU time 30136.51,  WCT time 7959.2, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35328 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 495.79/511.458
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 421.50000000000006s
Info:Quadratic Characters: Total cpu/real time for characters: 79.51/35.4766
Info:Generate Factor Base: Total cpu/real time for makefb: 6.33/2.95472
Info:Generate Free Relations: Total cpu/real time for freerel: 119.34/32.0244
Info:Square Root: Total cpu/real time for sqrt: 621.58/203.987
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.13186e+06/178869
Info:root: Cleaning up computation data in /tmp/cado.huavj4e7
432304310292768057111711294397220240342854852568034534925775080901059341517320611019963207845083 3736171702954050452938029271851900027261057433

cado-nfs-3.0.0

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

134629609055610182497186166896925926846341522904622968149004046755234878709913022858315795992195715838341027086832090465432297567617379928393964826147794368247382441373643<171>

267987100779115896076510766050045735207190024738887955456190283<63>
502373467469900708744229271980967994651166144289761407180302726586331458982789062482692468198990252508481921<108>

Number: n
N=134629609055610182497186166896925926846341522904622968149004046755234878709913022858315795992195715838341027086832090465432297567617379928393964826147794368247382441373643  ( 171 digits)
SNFS difficulty: 202 digits.
Divisors found:

Fri Aug 18 04:23:44 2023  prp63 factor: 267987100779115896076510766050045735207190024738887955456190283
Fri Aug 18 04:23:44 2023  prp108 factor: 502373467469900708744229271980967994651166144289761407180302726586331458982789062482692468198990252508481921
Fri Aug 18 04:23:44 2023  elapsed time 02:49:18 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.036).
Factorization parameters were as follows:
#
# N = 31x10^202+32 = 34(201)8
#
n: 134629609055610182497186166896925926846341522904622968149004046755234878709913022858315795992195715838341027086832090465432297567617379928393964826147794368247382441373643
m: 10000000000000000000000000000000000000000
deg: 5
c5: 775
c0: 8
skew: 0.40
# Murphy_E = 1.039e-11
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2774367 hash collisions in 17335246 relations (15016302 unique)
Msieve: matrix is 2300837 x 2301062 (651.1 MB)

Sieving start time: 2023/08/17 11:51:39
Sieving end time  : 2023/08/18 01:34:01

Total sieving time: 13hrs 42min 22secs.

Total relation processing time: 2hrs 41min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 58sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1528478376910990296620527792551916208531092714403231794067748251192886794707868541775000949980181546145126946153110288674506103270193904281448541309<148>

270993455160679080191432540649591527338278943<45>
5640277828867548269953456919948588165931983106511318100284792640682396219185763522555823297329735995363<103>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2361311252
Step 1 took 26655ms
Step 2 took 12130ms
********** Factor found in step 2: 270993455160679080191432540649591527338278943
Found prime factor of 45 digits: 270993455160679080191432540649591527338278943
Prime cofactor 5640277828867548269953456919948588165931983106511318100284792640682396219185763522555823297329735995363 has 103 digits

43706549681221835233965700396215417511689450776764468530913301357804961012278689163091488866218827800161430275121565269487700764649251776399618261664044900529907563389<167>

1066466475520948762904555619852322439326256300228995218683131321<64>
40982581904294750465820993463820920117047290894328760549337793806201196996119147306041916668249254401509<104>

Number: n
N=43706549681221835233965700396215417511689450776764468530913301357804961012278689163091488866218827800161430275121565269487700764649251776399618261664044900529907563389  ( 167 digits)
SNFS difficulty: 206 digits.
Divisors found:

Mon Feb 26 11:43:02 2024  prp64 factor: 1066466475520948762904555619852322439326256300228995218683131321
Mon Feb 26 11:43:02 2024  prp104 factor: 40982581904294750465820993463820920117047290894328760549337793806201196996119147306041916668249254401509
Mon Feb 26 11:43:02 2024  elapsed time 02:42:05 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
#
# N = 31x10^205+32 = 34(204)8
#
n: 43706549681221835233965700396215417511689450776764468530913301357804961012278689163091488866218827800161430275121565269487700764649251776399618261664044900529907563389
m: 100000000000000000000000000000000000000000
deg: 5
c5: 31
c0: 32
skew: 1.01
# Murphy_E = 8.806e-12
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19300000/19300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3561532 hash collisions in 19723380 relations (16454381 unique)
Msieve: matrix is 2255952 x 2256177 (635.0 MB)

Sieving start time: 2024/02/25 14:09:10
Sieving end time  : 2024/02/26 08:59:40

Total sieving time: 18hrs 50min 30secs.

Total relation processing time: 2hrs 31min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 55sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19300000,19300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

5575384356062559570643780121067938960456105173060592264260246176628740413137390816924423232027779462622959958231263512969138234695590085932399107830304603261203024811332302651234969648643507979003773<199>

8407120448615020472222492718653587129608611056789921482654553372725810838045525557332856032789855653349362009485503175250468750552992469434733147983470594007567786129669940303<175>

972213755078706676154338957772612658244889692728868643427941349745471972921585489204794006926716568540639191339267565455511983714883569227573967637<147>

37546618387728452977952569611239422948687880509351234178758153416410577973732710431441599460831585884401600194862061303234384734347130444340940187440779290102532026837202461685953756169912069229<194>

4511058617243285871785970676990233741795616621827069971633005906286789123652016115914418806390523169174473697957598339102303265319267869794102325456235232228894821805242827435541304140010157735205295954039<205>

12655135062529582242216152649754929333376680670209797939730165984384427385752898825222140316759472102996494315614379810567932453131952047503887172155044292088829800750755679720934184512991863083975443<200>

145634334259928818677228681377878375910272888679161489171052448793910268773111873783084722931839274509203988138647498635638417641801722329255319336296493408120348940142059160858157003060482212048318433<201>

1373291583199633058538564223549987655540469726964689457250046059872795110523268303139080422674091403750317701406262755884530856847798122454993<142>

34448481158960111833030620330980966540399<41>
39865083655290197047019675463513900053634949815003847076663135599240557433760012644934211859034447807<101>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3873504258
Step 1 took 5875ms
Step 2 took 3343ms
********** Factor found in step 2: 34448481158960111833030620330980966540399
Found prime factor of 41 digits: 34448481158960111833030620330980966540399
Prime cofactor 39865083655290197047019675463513900053634949815003847076663135599240557433760012644934211859034447807 has 101 digits
 

GMP-ECM

193598605890193868394915176332108291316190738842225379753033128093830624451678787188418656610530565098093291046401713859761666376893269463279715262664596285704579019206980141529324068578371713320183616411965842711<213>

124003003323661027624632339138012929284902905255457806121675081113931217913540585596418206730725369444183066742300546160831506180974419559270036159827500269788133407657354353626344172868811997213<195>

3146698876184087160913699817358652351<37>
39407330730684966879949191502863764756621483115560682258570251634608271827878188795504677533111587870455353520252216252398230956166628213868521487819781264163<158>

Resuming ECM residue saved by @3a651174f91b with GMP-ECM 7.0.5-dev on Sat Sep  3 22:45:42 2022 
Input number is 124003003323661027624632339138012929284902905255457806121675081113931217913540585596418206730725369444183066742300546160831506180974419559270036159827500269788133407657354353626344172868811997213 (195 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1219804430
Step 1 took 0ms
Step 2 took 7103ms
********** Factor found in step 2: 3146698876184087160913699817358652351
Found prime factor of 37 digits: 3146698876184087160913699817358652351
Prime cofactor 39407330730684966879949191502863764756621483115560682258570251634608271827878188795504677533111587870455353520252216252398230956166628213868521487819781264163 has 158 digits

9846069864919909419548926762294515405121663327987010283124106313970299646982540266612369733226018178835016749502476850042628759033464581029143819085878521989025312870390555298800089331264085523<193>

1550792875955819680717152726324109851843883280027394925478417312464916870702705687434165517778042942307911033436473288222253570650399117115935378812524871216251574077<166>

3739060395627450211467225162882645950250766605934689628251268654773109329591429920300460235741315210479745113998013102741365521261495001894658230520107784792209667247399<169>

275997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997151<225>

1759179055827036607267702108109384164755403744077808830125498698888471225732408663423421460259350660906546960774165899437607480165539884107553710573959973342195055957783334513685732081796605306501199419629805169217135811347<223>

504961735112400792992201379664885665012297529576869367317599123365430799267105428899156556816425718350475223741775007093288050860714887900113849605200405733441028095629347766645645505590959906218304661<201>

2003890240173439525075576578846875715101033768450365819730496915083535134068792232076929212152897246781164120359837077475937914987667666741779815860879903049239416365517259608338644805673111305884676979027795630185669<217>

269910741482425284640620118464522795367849<42>
7424270072274685512458446851046967804230046156377365580421164008165150914846168436624019759286032465330238395792143432869299686917300215899850982776276127068018511560494645181<175>

Resuming ECM residue saved by @7e5a90bba9ba with GMP-ECM 7.0.5-dev on Thu Nov 10 07:32:13 2022 
Input number is 2003890240173439525075576578846875715101033768450365819730496915083535134068792232076929212152897246781164120359837077475937914987667666741779815860879903049239416365517259608338644805673111305884676979027795630185669 (217 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3234150254
Step 1 took 0ms
Step 2 took 13044ms
********** Factor found in step 2: 269910741482425284640620118464522795367849
Found prime factor of 42 digits: 269910741482425284640620118464522795367849
Prime cofactor 7424270072274685512458446851046967804230046156377365580421164008165150914846168436624019759286032465330238395792143432869299686917300215899850982776276127068018511560494645181 has 175 digits

275997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997151<231>

482488153115015803038147212955532067696752342694678911831677316199695162896850530601109370668273463848577438899860521526258863792056830663674212710898424231217488544405320186316199<180>

5284061503897680424630466164397068745562886954769410387193350931940002013806559484607670033905772244730152466408203301186077480638173930367435050126448959024445523015282484136999101868518060153730775855119831608339<214>

3236705756080864862366757689640845664088960249881508517177052494771082704833105382289335125218636020103001761208769950164602721906177325950789371451509775511916531117092511137477649<181>

2408256017386627725656875802918013530661908136457194019922094182712114779832091138723330296374362765907320295480518596501193740314862005537146670298205666168237124879506334909221<178>

1509251210449284232729190469813504219181465021167572067927157899473753197124654782357541090418610649075875285705670867266970625568276250489176897013337734985125130361656237371505477683980685669862993352824791801755384487820746237<229>

10379450664656337317141504068456044934223<41>

145407619267224042947424270903271688969552103237082117954662286001024536781640287561821930307817896933355596459772634014139239208406972942712572648449548243177929046235286480268569583852019<189>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:479461701
Step 1 took 69972ms
Step 2 took 27116ms
********** Factor found in step 2: 10379450664656337317141504068456044934223
Found prime factor of 41 digits: 10379450664656337317141504068456044934223
Composite cofactor 145407619267224042947424270903271688969552103237082117954662286001024536781640287561821930307817896933355596459772634014139239208406972942712572648449548243177929046235286480268569583852019 has 189 digits

90288309882456178540012971719477355201763835346149915314617292992490976232008510577402874647102331531385539169503917635828869051258860742462193494965907629167675564342363167258438688116296633736364394805298192551<212>

137849256391021628190115132521291627588696114634835499865413126493421338576572109273228100934901756025920070318534449189341379652741412444024448568955240683660844157005619135707410485553015131196759570982587<207>

22699284450506241103552982830786452689123<41>

6072845894838209491780038723985870395582461912293480154596856255526626177336797974268180002912095450162973392913164542710106900555978097842354259521408563302445789769<166>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1879046696
Step 1 took 57485ms
Step 2 took 23091ms
********** Factor found in step 2: 22699284450506241103552982830786452689123
Found prime factor of 41 digits: 22699284450506241103552982830786452689123
Composite cofactor 6072845894838209491780038723985870395582461912293480154596856255526626177336797974268180002912095450162973392913164542710106900555978097842354259521408563302445789769 has 166 digits

31190767388747773199548905899397309090895885717544252744850186974929754997349623959314512778780355269801808874605986564707304182299190770767577947960701423906530381111100698317209868306609534232715227083<203>

130718482549670439187267538853202816279885778558287469428703726839862814953015860194951137533840786185031255720823968948967523299315338800211589308046318172728290090278852382478262365291602944476605946669008989770839481<219>

143263721079471844289280536550453015343<39>
912432551414448753127021670471808387744055001859016605421943179329181819058055234500202895438739093360214742930260059777196183291367204796949636108565601173825740921480070125980567<180>

Resuming ECM residue saved by @f133299af3b0 with GMP-ECM 7.0.5-dev on Fri Sep  2 21:02:36 2022 
Input number is 130718482549670439187267538853202816279885778558287469428703726839862814953015860194951137533840786185031255720823968948967523299315338800211589308046318172728290090278852382478262365291602944476605946669008989770839481 (219 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:661280153
Step 1 took 0ms
Step 2 took 6117ms
********** Factor found in step 2: 143263721079471844289280536550453015343
Found prime factor of 39 digits: 143263721079471844289280536550453015343
Prime cofactor 912432551414448753127021670471808387744055001859016605421943179329181819058055234500202895438739093360214742930260059777196183291367204796949636108565601173825740921480070125980567 has 180 digits

4148633419735858072827474506396325000334502560036422724773455987237634531026254671072332692137451380987112121783039871553363076474496374782433256598064992885600637022498335924368104745762354303490275175190413514671888494531471837045519<235>

213285997489552497718716143343344704168751377121223121145346249493273118147828693683444061963789514524473469351458773390906559773080047331791842257242772887522631827006217119544548566212255139005012601586332029180068080608145608350452405599<240>

252081706999739786625032526671870934166016133229247983346344002081706999739786625032526671870934166016133229247983346344002081706999739786625032526671870934166016133229247983346344002081706999739786625032526671870934166016133229247983346344002081707<249>

38828821919998984753003786829532333492561961848021593692577677687287979434390311412388427634324795583255935903541706484608425106252520045431824904904631217748232710841374923980673308087194400451954240469261946928288017<218>

33465635801518725506128377502579398764714662623605153065714400967590672877227773334613823944990173<98>

14616729942375989831994624904073587<35>
2289543279067985158050420465323131733612402870266177431351066479<64>

prp35 = 14616729942375989831994624904073587
prp64 = 2289543279067985158050420465323131733612402870266177431351066479

Yafu

13908787996493759359874753255746073494682459684209743018254489423816829917659864271826332259761933653537476608459139054449463046378509178570436992963531788940854313517376315907641502641536159010164659699<203>

76726931705730552668901914876023568842313101<44>
181276478640353931309273664979079602884750728317532884382995094437906165462963229399170037434439432413893237302770464372815416675188288534110050078683631292799<159>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3472030741
Step 1 took 58435ms
Step 2 took 23788ms
********** Factor found in step 2: 76726931705730552668901914876023568842313101
Found prime factor of 44 digits: 76726931705730552668901914876023568842313101
Prime cofactor 181276478640353931309273664979079602884750728317532884382995094437906165462963229399170037434439432413893237302770464372815416675188288534110050078683631292799 has 159 digits

3532155132333386750904157201062444176874214341728463280795840550706834036687665460606696003853667339668009366241401301329139221375184248476765515901451242868680715691696331875956144964956840091870650813880050127131125588139<223>

1350186944396552978440248041265398569708229945809121715140217441674494085238944929240523617710725242542151050659303977229491516882091908680101122532601348302906963753808939888486062254469387061743116079<202>

49052697942203111731566044418982806109478086134762121202558947708916010935491449594351469445921044257413726155980995483686516213984786217197886535685241740412658716665198685024272846597051158772040042326002755571379344698432364413027<233>

2568360791864071991515958795434520772723468334908040200406049546590064488106927756686673298937408361507641957985975109366821133492932492892291379065291541356080967141366075606248388042541890086299964794384765940016735437119<223>

1956935408262856850185084547177322388476909555719739424938016968799993731066647717025510635472509991780076237618173215383703789421586346082285774970178757883441003946495364713012944164526613689183<196>

2112036942630656485667038732546765672270516213293103262931476234664695029226451083704995018335641059783679640160864282649512276977895061395189639681347172360719702456642654515019383378939951843168832097746028645530836394668061<226>

148712293745796031221306946166791598659295954445015871900643177824875125931026011035593229582942736707726759372375859372043683099758997080834333682630635098523530574319048016170523435284178625181667362453<204>

12626744528781929056335452993001604524241377936846861697838067992525001414746522363870392080592799767484826157115925491235204044852584846665428440622124895255937272607956954725081362561067684755798687702367091908675892656397<224>

121738508067252821797748889793554809227439542716373862917150018839729795557871745512598838942918805820615295156550920195014551295676633979334115161611426756734329728960642608324409947209690748294164832281427<207>

524670759786459298669021699309318864052793428135722042170698819655809194131703160783109040297496993719128127672860011036637740280834187103296692170573393240338432396431638139611<177>

210451355652378379664922797129181266412272770313618367194581233889983475285452736576165110276611934818071451709360303416792201900736844013215977896323079962879593637974452661828721144675274534984644465547666929420662412994058457<228>

529732110210535204459748936853929151018623306794106109478050854582267560818173464688756991069884006459234106656931679914348924666734353826473068718224863432887287719568577317630001045450880478516739703759444644581676135766285619534047385269687848101848957<255>

1249464609230907805465410264818212737679242721763761652474080293388829801775314357117767941834826331461080145238215833156954087796902247898947179674977138468293207851026533865365627320298526381840218444758002033055284925413906371049332642846164879<247>

5079966238064637436781268826710617<34>

245959234899743763015302313127528332272997180792169967643796525163142829306052364286484701964173762211387072149222274829440026386031756291973981384793375995968003206419374229195159300708049359047103112115726363687<213>

GPU: factor 5079966238064637436781268826710617 found in Step 1 with curve 90 (-sigma 3:762986069)
Computing 1792 Step 1 took 273ms of CPU time / 267520ms of GPU time
Throughput: 6.699 curves per second (on average 149.29ms per Step 1)
********** Factor found in step 1: 5079966238064637436781268826710617
Found prime factor of 34 digits: 5079966238064637436781268826710617
Composite cofactor 245959234899743763015302313127528332272997180792169967643796525163142829306052364286484701964173762211387072149222274829440026386031756291973981384793375995968003206419374229195159300708049359047103112115726363687 has 213 digits
Peak memory usage: 9428MB

58282408212900793107244455320849578035113900261400830165408247960232566057190025619566986714447575281587972987410466454325539423461766895276014260502597059878510954951481830487464365843796008099524337077172068172870826085184260252105267284304731719<248>

573696904427531546439058597028138538846619<42>

101590940726895505634585192236150080789089586055785263088961886290855948877241045995281850419784879649078948922377786366302086681203653479372319989821620714002215912917405940230878072065359251436736965512901<207>

Resuming ECM residue saved by @f133299af3b0 with GMP-ECM 7.0.5-dev on Sat Sep  3 01:12:17 2022 
Input number is 58282408212900793107244455320849578035113900261400830165408247960232566057190025619566986714447575281587972987410466454325539423461766895276014260502597059878510954951481830487464365843796008099524337077172068172870826085184260252105267284304731719 (248 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:146071013
Step 1 took 0ms
Step 2 took 4175ms
********** Factor found in step 2: 573696904427531546439058597028138538846619
Found prime factor of 42 digits: 573696904427531546439058597028138538846619
Composite cofactor 101590940726895505634585192236150080789089586055785263088961886290855948877241045995281850419784879649078948922377786366302086681203653479372319989821620714002215912917405940230878072065359251436736965512901 has 207 digits

128929468840786139108684261517131464034451263125162407073778563924944217698419747787630756596810862523591408107091704720566719294138433502309662446076986389444605709429966850657084843774877914997558466879063349<210>

473545044586389572132640653213024362497078235763614383958075942185164799335451570282377559389376783010090342169644670885416092203607233641638387528202347294439194776759617279512391166233342511188282491794813850081111891407<222>

16111787285370006439495543600722906660791231193528511654617419691381870021370013093222304318670603096644638265370587562373032958711304778661632324007773863825761703113365796842551440913753787279577386438361311215381068356700244247<230>

2113257299655689716978896579023047534573679400183773653255837540665673756655547230832455371432325247085502124074289767791204292782548303869388310394108072026092846361937746861569408706548341132142640663795463109944685073741067<226>

2793412846445372452538029871121296435894057<43>

756514491706736785883208527817185849880816546754087839656619437051166556944699829709434200587294595030554477489878887733814877373376512676221111094642036821257800742098447311834182931<183>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3178136727
Step 1 took 67002ms
Step 2 took 25969ms
********** Factor found in step 2: 2793412846445372452538029871121296435894057
Found prime factor of 43 digits: 2793412846445372452538029871121296435894057
Composite cofactor 756514491706736785883208527817185849880816546754087839656619437051166556944699829709434200587294595030554477489878887733814877373376512676221111094642036821257800742098447311834182931 has 183 digits

152021062718280751790572505847327331086896525282409256132572226539249779082681018305298698193180463712625095978352902593282877007948441608235077586482158538701890264974745475681140052232977419873454469626734800953<213>

68154975460490512139973182527099551584111162191569299032726035747623458786922962986337403637953612063499106558313770970016968271501636761278311685278662213302120488513953977699375280202158504386843918146592250882760607169467556622550948949<239>

3634651990114740271527318816173869451042319737996353917817046762684484688656230695193406027427209019177766656481160446028988789366289983513203208457669727997759044889450031355600785664623805797743160626418720589277218457701966393363582157168985840849<250>