530434858833481425222735138149912392336617836063518568583500476134085605679626489571<84>

6497224357002748211180011249445295861091<40>
81640225069613839817023297339368552968753281<44>

CADO

STA:Sun 21 Nov 2021 01:47:06 AEDT (530,434,858,833,481,425,222,735,138,149,912,392,336,617,836,063,518,568,583,500,476,134,085,605,679,626,489,571 - C84)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 530434858833481425222735138149912392336617836063518568583500476134085605679626489571 2>&1 | tee -a log64

Debug:root: Looking for parameter file for c84 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.c85
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c85
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.0c2a3u0_
Info:Database: Opened connection to database /tmp/cado.0c2a3u0_/c85.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 530434858833481425222735138149912392336617836063518568583500476134085605679626489571
Debug:root: Root parameter dictionary:
N = 530434858833481425222735138149912392336617836063518568583500476134085605679626489571
lim0 = 393010
lim1 = 551399
lpb0 = 22
lpb1 = 22
name = c85
...
n: 530434858833481425222735138149912392336617836063518568583500476134085605679626489571
skew: 36820.202
c0: -7262600112344938358559
c1: 822906989773142689
c2: -972426063325
c3: 389680987
c4: 6240
Y0: -73205744652241088750
Y1: 1424012338445297
# MurphyE (Bf=5.51e+05,Bg=3.93e+05,area=1.16e+12) = 4.3e-08
# f(x) = 6240*x^4+389680987*x^3-972426063325*x^2+822906989773142689*x-7262600112344938358559
# g(x) = 1424012338445297*x-73205744652241088750
...
Info:Square Root: finished
Info:Square Root: Factors: 81640225069613839817023297339368552968753281 6497224357002748211180011249445295861091
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 1142.55
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 1198/26.610/31.629/38.370/0.915
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 1198/26.500/30.409/33.370/1.082
Info:Polynomial Selection (size optimized): Total time: 22.41
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 18.86
Info:Polynomial Selection (root optimized): Rootsieve time: 18.68
Info:Generate Factor Base: Total cpu/real time for makefb: 0.53/0.0656614
Info:Generate Free Relations: Total cpu/real time for freerel: 3.2/0.227126
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 543215
Info:Lattice Sieving: Average J: 994.909 for 9981 special-q, max bucket fill: 0.837133
Info:Lattice Sieving: Total CPU time: 765.58s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 1.12/1.0952
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 0.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 5.01/2.64196
Info:Filtering - Singleton removal: Total cpu/real time for purge: 4.1/2.67831
Info:Filtering - Merging: Total cpu/real time for merge: 14.75/9.59027
Info:Filtering - Merging: Total cpu/real time for replay: 1.68/1.33447
Info:Linear Algebra: Total cpu/real time for bwc: 60.68/0.000324726
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 3.04
Info:Linear Algebra: Lingen CPU time 7.95, WCT time 0.89
Info:Linear Algebra: Mksol: WCT time 2.05
Info:Quadratic Characters: Total cpu/real time for characters: 1.7/0.422168
Info:Square Root: Total cpu/real time for sqrt: 19.58/3.09838
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 919.2/108.297
Info:root: Cleaning up computation data in /tmp/cado.0c2a3u0_
81640225069613839817023297339368552968753281 6497224357002748211180011249445295861091

END:Sun 21 Nov 2021 01:48:54 AEDT (530,434,858,833,481,425,222,735,138,149,912,392,336,617,836,063,518,568,583,500,476,134,085,605,679,626,489,571 - C84)

7984695581609717968290619595965806188024026957684244467016936813423607765089<76>

4437805245834399061419047733685043<34>
1799244252348534563252873456227813903453723<43>

P43 = 1799244252348534563252873456227813903453723
P34 = 4437805245834399061419047733685043

YAFU

9391317248085862198081976794733789924846878926166660293563348438484654050912639916000983961733<94>

80178204460641909832247127033840184201549<41>
117130550768268912490027887818368139302405694314094617<54>

CADO

STA:Sun 21 Nov 2021 02:01:00 AEDT (9,391,317,248,085,862,198,081,976,794,733,789,924,846,878,926,166,660,293,563,348,438,484,654,050,912,639,916,000,983,961,733 - C94)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 9391317248085862198081976794733789924846878926166660293563348438484654050912639916000983961733 2>&1 | tee -a log65

Debug:root: Looking for parameter file for c94 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.c95
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c95
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.bv9hzdcr
Info:Database: Opened connection to database /tmp/cado.bv9hzdcr/c95.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 9391317248085862198081976794733789924846878926166660293563348438484654050912639916000
983961733
Debug:root: Root parameter dictionary:
N = 9391317248085862198081976794733789924846878926166660293563348438484654050912639916000983961733
lim0 = 3660220
lim1 = 2758600
lpb0 = 23
lpb1 = 23
name = c95
...
n: 9391317248085862198081976794733789924846878926166660293563348438484654050912639916000983961733
skew: 104748.024
c0: 10228573383014706844563153
c1: 25435207045750202676
c2: -235471163754065
c3: -2652912288
c4: 111540
Y0: -17091351113160552916730
Y1: 9145071360309623
# MurphyE (Bf=2.76e+06,Bg=3.66e+06,area=9.26e+13) = 3.68e-08
# f(x) = 111540*x^4-2652912288*x^3-235471163754065*x^2+25435207045750202676*x+10228573383014706844563153
# g(x) = 9145071360309623*x-17091351113160552916730
...
Info:Square Root: finished
Info:Square Root: Factors: 80178204460641909832247127033840184201549 117130550768268912490027887818368139302405694314094617
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 35.61/5.3765
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 3427.68
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 3536/30.120/35.563/40.900/0.729
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3536/30.040/34.582/37.050/1.114
Info:Polynomial Selection (size optimized): Total time: 66.88
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 30.19
Info:Polynomial Selection (root optimized): Rootsieve time: 29.93
Info:Generate Factor Base: Total cpu/real time for makefb: 2.73/0.286712
Info:Generate Free Relations: Total cpu/real time for freerel: 6.4/0.441333
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 973831
Info:Lattice Sieving: Average J: 4096 for 5500 special-q, max bucket fill: 0.666005
Info:Lattice Sieving: Total CPU time: 3581.85s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 2.28/2.56523
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 2.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 9.35/3.96557
Info:Filtering - Singleton removal: Total cpu/real time for purge: 8.73/5.08002
Info:Filtering - Merging: Total cpu/real time for merge: 34.32/27.7919
Info:Filtering - Merging: Total cpu/real time for replay: 3.66/3.20509
Info:Linear Algebra: Total cpu/real time for bwc: 137.23/0.00016427
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 11.28
Info:Linear Algebra: Lingen CPU time 13.49, WCT time 1.5
Info:Linear Algebra: Mksol: WCT time 4.36
Info:Quadratic Characters: Total cpu/real time for characters: 2.62/0.612148
Info:Square Root: Total cpu/real time for sqrt: 35.61/5.3765
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 3921.85/354.857
Info:root: Cleaning up computation data in /tmp/cado.bv9hzdcr
80178204460641909832247127033840184201549 117130550768268912490027887818368139302405694314094617

END:Sun 21 Nov 2021 02:06:55 AEDT (9,391,317,248,085,862,198,081,976,794,733,789,924,846,878,926,166,660,293,563,348,438,484,654,050,912,639,916,000,983,961,733 - C94)

1174965239505656086819878034102068926510801267144925889759377477234768001949802505565425282058178565715347<106>

60153834413245638157418759159487849878495585104867<50>
19532674034274585733059569837492259621713214563881207441<56>

N=1174965239505656086819878034102068926510801267144925889759377477234768001949802505565425282058178565715347
  ( 106 digits)
SNFS difficulty: 120 digits.
Divisors found:
p50 factor: 60153834413245638157418759159487849878495585104867
p56 factor: 19532674034274585733059569837492259621713214563881207441
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.73 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1174965239505656086819878034102068926510801267144925889759377477234768001949802505565425282058178565715347
m: 500000000000000000000000000000
deg: 4
c4: 71
c0: -5
skew: 0.52
# Murphy_E = 4.885e-08
type: snfs
lss: 1
rlim: 720000
alim: 720000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 720000/720000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [360000, 560001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 60684 x 60909
Total sieving time: 0.71 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,120.000,4,0,0,0,0,0,0,0,0,720000,720000,25,25,46,46,2.2,2.2,50000
total time: 0.73 hours.

2917248448099746167771465929111556159051880400320303974737203358993615584048877044327319975602645032750480561<109>

153583086343136780020035031995552997661<39>
18994594506207553161974872784873305324105907618887471582866983020308901<71>

CADO

TA:Sun 21 Nov 2021 02:15:54 AEDT (2,917,248,448,099,746,167,771,465,929,111,556,159,051,880,400,320,303,974,737,203,358,993,615,584,048,877,044,327,319,975,602,645,032,750,480,561 - C109)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2917248448099746167771465929111556159051880400320303974737203358993615584048877044327319975602645032750480561 2>&1 | tee 
-a log66

Debug:root: Looking for parameter file for c109 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.lt1luar3
Info:Database: Opened connection to database /tmp/cado.lt1luar3/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 2917248448099746167771465929111556159051880400320303974737203358993615584048877044327
319975602645032750480561
Debug:root: Root parameter dictionary:
N = 2917248448099746167771465929111556159051880400320303974737203358993615584048877044327319975602645032750480561
lim0 = 2910696
lim1 = 3533488
lpb0 = 25
lpb1 = 25
name = c110
...
n: 2917248448099746167771465929111556159051880400320303974737203358993615584048877044327319975602645032750480561
skew: 10581.315
c0: 5797016889330309527077458
c1: -1289139746615687679379
c2: -100230794286619344
c3: 24986304705667
c4: 556370310
c5: 36720
Y0: -857865791144027180784
Y1: 1371320501733331
# MurphyE (Bf=3.53e+06,Bg=2.91e+06,area=2.96e+13) = 6.16e-09
# f(x) = 36720*x^5+556370310*x^4+24986304705667*x^3-100230794286619344*x^2-1289139746615687679379*x+5797016889330309527077458
# g(x) = 1371320501733331*x-857865791144027180784
...
Info:Square Root: finished
Info:Square Root: Factors: 18994594506207553161974872784873305324105907618887471582866983020308901 153583086343136780020035031995552997661
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): 28471/31.630/38.344/46.640/0.994
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 28471/30.890/34.679/38.970/1.105
Info:Polynomial Selection (size optimized): Total time: 995.77
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 264.89
Info:Polynomial Selection (root optimized): Rootsieve time: 264.08
Info:Generate Factor Base: Total cpu/real time for makefb: 4.64/0.456399
Info:Generate Free Relations: Total cpu/real time for freerel: 36.01/2.37068
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3665026
Info:Lattice Sieving: Average J: 1893.03 for 78147 special-q, max bucket fill: 0.753069
Info:Lattice Sieving: Total CPU time: 20064s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 8.72/9.06268
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 46.9/17.8744
Info:Filtering - Singleton removal: Total cpu/real time for purge: 27.83/14.4704
Info:Filtering - Merging: Total cpu/real time for merge: 111.12/91.1903
Info:Filtering - Merging: Total cpu/real time for replay: 11.09/8.60736
Info:Linear Algebra: Total cpu/real time for bwc: 2303.09/0.000306606
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 96.63
Info:Linear Algebra: Lingen CPU time 73.6, WCT time 7.38
Info:Linear Algebra: Mksol: WCT time 53.25
Info:Quadratic Characters: Total cpu/real time for characters: 11.02/2.54917
Info:Square Root: Total cpu/real time for sqrt: 221.86/31.2959
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 24107/1821.48
Info:root: Cleaning up computation data in /tmp/cado.lt1luar3
18994594506207553161974872784873305324105907618887471582866983020308901 153583086343136780020035031995552997661

END:Sun 21 Nov 2021 02:46:16 AEDT (2,917,248,448,099,746,167,771,465,929,111,556,159,051,880,400,320,303,974,737,203,358,993,615,584,048,877,044,327,319,975,602,645,032,750,480,561 - C109)

3019550303263135241944223409874877627063366664763710341293129808551118015345711815708139568786120050193782934148186136506603441<127>

3942848456558228083762488688617658746246489963328759043<55>
765829662623895585219827422194704827403307836190851232404627047843196987<72>

N=3019550303263135241944223409874877627063366664763710341293129808551118015345711815708139568786120050193782934148186136506603441
  ( 127 digits)
SNFS difficulty: 137 digits.
Divisors found:
p55 factor: 3942848456558228083762488688617658746246489963328759043
p72 factor: 765829662623895585219827422194704827403307836190851232404627047843196987
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.74 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3019550303263135241944223409874877627063366664763710341293129808551118015345711815708139568786120050193782934148186136506603441
m: 10000000000000000000000000000000000
deg: 4
c4: 71
c0: -8
skew: 0.58
# Murphy_E = 6.183e-09
type: snfs
lss: 1
rlim: 1390000
alim: 1390000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [695000, 1595001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 180411 x 180636
Total sieving time: 4.65 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,137.000,4,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,100000
total time: 4.74 hours.

492461688653636848401197859326038351298862449505977412613188612403612933927832250282742205807172515292117741838099237<117>

30823529136799370269838596409251580761219807<44>
15976810652278628195007531301089069851152572894165428803846345005865082491<74>

CADO

STA:Sun 21 Nov 2021 02:54:08 AEDT (492,461,688,653,636,848,401,197,859,326,038,351,298,862,449,505,977,412,613,188,612,403,612,933,927,832,250,282,742,205,807,172,515,292,117,741,838,099,237 - C117)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 492461688653636848401197859326038351298862449505977412613188612403612933927832250282742205807172515292117741838099237 2>&1 | tee -a log67

Debug:root: Looking for parameter file for c117 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.wy_yen6h
Info:Database: Opened connection to database /tmp/cado.wy_yen6h/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 4924616886536368484011978593260383512988624495059774126131886124036129339278322502827
42205807172515292117741838099237
Debug:root: Root parameter dictionary:
N = 492461688653636848401197859326038351298862449505977412613188612403612933927832250282742205807172515292117741838099237
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 492461688653636848401197859326038351298862449505977412613188612403612933927832250282742205807172515292117741838099237
skew: 15206689.093
c0: 872496458524165581658180486215817
c1: 165461940786928186889134044
c2: -18084150687448713091
c3: -823138325490
c4: 21600
Y0: -12322126345013442003473538642
Y1: 3549287794009477283
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 1.59e-09
# f(x) = 21600*x^4-823138325490*x^3-18084150687448713091*x^2+165461940786928186889134044*x+872496458524165581658180486215817
# g(x) = 3549287794009477283*x-12322126345013442003473538642
...
Info:Square Root: finished
Info:Square Root: Factors: 30823529136799370269838596409251580761219807 15976810652278628195007531301089069851152572894165428803846345005865082491
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 356.93/52.0167
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): 55973/39.740/44.600/48.930/0.599
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 55973/38.670/43.881/46.080/0.989
Info:Polynomial Selection (size optimized): Total time: 1114.66
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 152.46
Info:Polynomial Selection (root optimized): Rootsieve time: 151.81
Info:Generate Factor Base: Total cpu/real time for makefb: 2.72/0.290588
Info:Generate Free Relations: Total cpu/real time for freerel: 53.14/3.52426
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6788371
Info:Lattice Sieving: Average J: 3822.95 for 121877 special-q, max bucket fill: 0.711391
Info:Lattice Sieving: Total CPU time: 90227.4s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.06/20.3892
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 90.39/28.9878
Info:Filtering - Singleton removal: Total cpu/real time for purge: 64.04/26.7825
Info:Filtering - Merging: Total cpu/real time for merge: 172.26/136.711
Info:Filtering - Merging: Total cpu/real time for replay: 17.89/14.0239
Info:Linear Algebra: Total cpu/real time for bwc: 6106.7/0.000319242
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 263.13
Info:Linear Algebra: Lingen CPU time 141.09, WCT time 13.59
Info:Linear Algebra: Mksol: WCT time 139.38
Info:Quadratic Characters: Total cpu/real time for characters: 17.87/4.2777
Info:Square Root: Total cpu/real time for sqrt: 356.93/52.0167
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 98393.5/6751.38
Info:root: Cleaning up computation data in /tmp/cado.wy_yen6h
30823529136799370269838596409251580761219807 15976810652278628195007531301089069851152572894165428803846345005865082491

END:Sun 21 Nov 2021 04:46:40 AEDT (492,461,688,653,636,848,401,197,859,326,038,351,298,862,449,505,977,412,613,188,612,403,612,933,927,832,250,282,742,205,807,172,515,292,117,741,838,099,237 - C117)

39628160596972006667354298974490180923204420136195848397615791252691924205059098424741546252872762571726970680519332067911281143827227471<137>

19769252958589013570245462676418636651662065381<47>
2004535056533586812381525329323104164403826432663734468547306991983810367153346649957433891<91>

11/25/21 02:55:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 03:00:13 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 03:05:05 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 03:10:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 03:14:58 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 03:19:56 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 03:24:47 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 03:29:47 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 03:34:43 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 03:39:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 03:44:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 03:49:40 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/25/21 03:50:15 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 4874018
11/25/21 03:50:15 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 03:55:09 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/25/21 03:55:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 5317462
11/25/21 03:55:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 04:00:40 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/25/21 04:01:38 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
11/25/21 04:04:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
11/25/21 04:05:38 v1.34.5 @ DESKTOP-RJPVCOL, prp47 = 19769252958589013570245462676418636651662065381
11/25/21 04:05:38 v1.34.5 @ DESKTOP-RJPVCOL, prp91 = 2004535056533586812381525329323104164403826432663734468547306991983810367153346649957433891
11/25/21 04:05:38 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 4221.2850 seconds.

1488871191542422436740407921543004944203698153942360659691486141207119452513535327494955248387098354908149429966329211<118>

7744306993895969446473218277575381891140967504016309673249<58>
192253637764611412703843779605302362391796235189646331552539<60>

CADO

STA:Wed 24 Nov 2021 03:43:41 AEDT (1,488,871,191,542,422,436,740,407,921,543,004,944,203,698,153,942,360,659,691,486,141,207,119,452,513,535,327,494,955,248,387,098,354,908,149,429,966,329,211 - C118)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1488871191542422436740407921543004944203698153942360659691486141207119452513535327494955248387098354908149429966329211 2>&1 | tee -a log94

Debug:root: Looking for parameter file for c118 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.3h2vtf_d
Info:Database: Opened connection to database /tmp/cado.3h2vtf_d/c120.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1488871191542422436740407921543004944203698153942360659691486141207119452513535327494
955248387098354908149429966329211
Debug:root: Root parameter dictionary:
N = 1488871191542422436740407921543004944203698153942360659691486141207119452513535327494955248387098354908149429966329211
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 1488871191542422436740407921543004944203698153942360659691486141207119452513535327494955248387098354908149429966329211
skew: 148166.481
c0: -67944225088893666446640122400
c1: -1138726043144720472841914
c2: 12745521168365713877
c3: 843388782167
c4: -152781500
c5: 1200
Y0: -108113121779390723213935
Y1: 164115353953428899
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 2.31e-09
# f(x) = 1200*x^5-152781500*x^4+843388782167*x^3+12745521168365713877*x^2-1138726043144720472841914*x-67944225088893666446640122400
# g(x) = 164115353953428899*x-108113121779390723213935
...
Info:Square Root: finished
Info:Square Root: Factors: 7744306993895969446473218277575381891140967504016309673249 192253637764611412703843779605302362391796235189646331552539
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 679.76/96.7844
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10585/35.040/41.792/47.290/1.048
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10585/33.640/37.094/42.290/1.046
Info:Polynomial Selection (size optimized): Total time: 1180.01
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 271.84
Info:Polynomial Selection (root optimized): Rootsieve time: 270.95
Info:Generate Factor Base: Total cpu/real time for makefb: 23.01/2.06866
Info:Generate Free Relations: Total cpu/real time for freerel: 149.31/9.87621
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 9944018
Info:Lattice Sieving: Average J: 8192 for 14052 special-q, max bucket fill: 0.614395
Info:Lattice Sieving: Total CPU time: 46025.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 24.58/30.5833
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 144.56/43.1529
Info:Filtering - Singleton removal: Total cpu/real time for purge: 65.94/31.0066
Info:Filtering - Merging: Total cpu/real time for merge: 391.94/313.314
Info:Filtering - Merging: Total cpu/real time for replay: 31.06/24.1194
Info:Linear Algebra: Total cpu/real time for bwc: 15423/0.000328779
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 639.32
Info:Linear Algebra: Lingen CPU time 176.4, WCT time 17.69
Info:Linear Algebra: Mksol: WCT time 358.32
Info:Quadratic Characters: Total cpu/real time for characters: 31.67/7.4556
Info:Square Root: Total cpu/real time for sqrt: 679.76/96.7844
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 64442.6/4812.73
Info:root: Cleaning up computation data in /tmp/cado.3h2vtf_d
7744306993895969446473218277575381891140967504016309673249 192253637764611412703843779605302362391796235189646331552539

END:Wed 24 Nov 2021 05:03:54 AEDT (1,488,871,191,542,422,436,740,407,921,543,004,944,203,698,153,942,360,659,691,486,141,207,119,452,513,535,327,494,955,248,387,098,354,908,149,429,966,329,211 - C118)

974716309322716191576917935085139378182449914056863221063634286406850997617521686866455645806124710333<102>

29264972260681818444857986163685354410671<41>
33306585792745499327125591557835316419782498760141909130691923<62>

CADO

STA:Sun 21 Nov 2021 23:13:39 AEDT (974,716,309,322,716,191,576,917,935,085,139,378,182,449,914,056,863,221,063,634,286,406,850,997,617,521,686,866,455,645,806,124,710,333 - C102)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 974716309322716191576917935085139378182449914056863221063634286406850997617521686866455645806124710333 2>&1 | tee -a log73

Debug:root: Looking for parameter file for c102 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.05aos72_
Info:Database: Opened connection to database /tmp/cado.05aos72_/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 9747163093227161915769179350851393781824499140568632210636342864068509976175216868664
55645806124710333
Debug:root: Root parameter dictionary:
N = 974716309322716191576917935085139378182449914056863221063634286406850997617521686866455645806124710333
lim0 = 919082
lim1 = 1051872
lpb0 = 24
lpb1 = 25
name = c100
...
n: 974716309322716191576917935085139378182449914056863221063634286406850997617521686866455645806124710333
skew: 313514.501
c0: -353823168661160329135012603
c1: 15067029987883309831262
c2: 10706658045029447
c3: -68593323258
c4: 160200
Y0: -1570567786135531133511494
Y1: 93079023720319
# MurphyE (Bf=1.05e+06,Bg=9.19e+05,area=2.21e+12) = 6.28e-09
# f(x) = 160200*x^4-68593323258*x^3+10706658045029447*x^2+15067029987883309831262*x-353823168661160329135012603
# g(x) = 93079023720319*x-1570567786135531133511494
...
Info:Square Root: finished
Info:Square Root: Factors: 33306585792745499327125591557835316419782498760141909130691923 29264972260681818444857986163685354410671
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 107.17/15.8658
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): 2851/34.200/38.809/39.650/0.694
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 2851/33.770/37.515/39.630/0.991
Info:Polynomial Selection (size optimized): Total time: 53.88
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 38.47
Info:Polynomial Selection (root optimized): Rootsieve time: 38.28
Info:Generate Factor Base: Total cpu/real time for makefb: 0.98/0.112781
Info:Generate Free Relations: Total cpu/real time for freerel: 25.9/1.67396
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2694215
Info:Lattice Sieving: Average J: 990.406 for 138495 special-q, max bucket fill: 0.818458
Info:Lattice Sieving: Total CPU time: 10185.4s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 6.38/5.39336
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 5.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 28.35/8.37418
Info:Filtering - Singleton removal: Total cpu/real time for purge: 17.73/8.04162
Info:Filtering - Merging: Total cpu/real time for merge: 70.4/55.265
Info:Filtering - Merging: Total cpu/real time for replay: 7.46/5.93035
Info:Linear Algebra: Total cpu/real time for bwc: 1177.88/0.000323534
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 47.43
Info:Linear Algebra: Lingen CPU time 43.06, WCT time 4.47
Info:Linear Algebra: Mksol: WCT time 29.14
Info:Quadratic Characters: Total cpu/real time for characters: 6.89/1.57713
Info:Square Root: Total cpu/real time for sqrt: 107.17/15.8658
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 11726.9/960.895
Info:root: Cleaning up computation data in /tmp/cado.05aos72_
33306585792745499327125591557835316419782498760141909130691923 29264972260681818444857986163685354410671

END:Sun 21 Nov 2021 23:29:41 AEDT (974,716,309,322,716,191,576,917,935,085,139,378,182,449,914,056,863,221,063,634,286,406,850,997,617,521,686,866,455,645,806,124,710,333 - C102)

4630181030277216952829827787614524399229569968909940782599443283882790868398152801281622366014871<97>

293780670153271542599084061069293863490801<42>
15760672844341849698886106483320230271431972348723768071<56>

N=4630181030277216952829827787614524399229569968909940782599443283882790868398152801281622366014871
  ( 97 digits)
Divisors found:
p42 factor: 293780670153271542599084061069293863490801
p56 factor: 15760672844341849698886106483320230271431972348723768071
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.70 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4630181030277216952829827787614524399229569968909940782599443283882790868398152801281622366014871
skew: 360107.79
c0: 39808194651026874838033443
c1: -1613557780265874216472
c2: 3393867053622185
c3: 17042601764
c4: 19320
Y0: -124416953522215612048934
Y1: 23577999550111
rlim: 1620000
alim: 1620000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [810000, 1050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 153088 x 153316
Total sieving time: 2.60 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1620000,1620000,25,25,50,50,2.5,2.5,60000
total time: 2.70 hours.

193632178857479264116371852675631823130974946817296424445859761954167017507780985598431508630909726399299993<108>

30691851919955036118673663496102997995731<41>
6308911543118214590496270535303299460668945151611500333862732488803<67>

CADO

STA:Sun 21 Nov 2021 23:36:54 AEDT (193,632,178,857,479,264,116,371,852,675,631,823,130,974,946,817,296,424,445,859,761,954,167,017,507,780,985,598,431,508,630,909,726,399,299,993 - C108)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 193632178857479264116371852675631823130974946817296424445859761954167017507780985598431508630909726399299993 2>&1 | tee -a log74

Debug:root: Looking for parameter file for c108 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.h41cw3jk
Info:Database: Opened connection to database /tmp/cado.h41cw3jk/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 1936321788574792641163718526756318231309749468172964244458597619541670175077809855984
31508630909726399299993
Debug:root: Root parameter dictionary:
N = 193632178857479264116371852675631823130974946817296424445859761954167017507780985598431508630909726399299993
lim0 = 2910696
lim1 = 3533488
lpb0 = 25
lpb1 = 25
name = c110
...
n: 193632178857479264116371852675631823130974946817296424445859761954167017507780985598431508630909726399299993
skew: 17120.274
c0: -504556730310172800295926
c1: -1414937117098203103833
c2: 9999883104358948
c3: 3325460395031
c4: 309502276
c5: 1200
Y0: -915629005907161529287
Y1: 10301630958577
# MurphyE (Bf=3.53e+06,Bg=2.91e+06,area=2.96e+13) = 7.03e-09
# f(x) = 1200*x^5+309502276*x^4+3325460395031*x^3+9999883104358948*x^2-1414937117098203103833*x-504556730310172800295926
# g(x) = 10301630958577*x-915629005907161529287
...
Info:Square Root: finished
Info:Square Root: Factors: 30691851919955036118673663496102997995731 6308911543118214590496270535303299460668945151611500333862732488803
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 225.71/31.8553
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): 28361/31.070/37.946/44.920/1.023
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 28361/30.300/34.243/39.370/1.065
Info:Polynomial Selection (size optimized): Total time: 1011.51
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 237.81
Info:Polynomial Selection (root optimized): Rootsieve time: 236.91
Info:Generate Factor Base: Total cpu/real time for makefb: 4.27/0.400139
Info:Generate Free Relations: Total cpu/real time for freerel: 35.71/2.37027
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3545091
Info:Lattice Sieving: Average J: 1897.67 for 70247 special-q, max bucket fill: 0.75183
Info:Lattice Sieving: Total CPU time: 18177.1s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 8.23/8.3456
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 39.42/13.7883
Info:Filtering - Singleton removal: Total cpu/real time for purge: 18.63/9.49191
Info:Filtering - Merging: Total cpu/real time for merge: 120.44/97.768
Info:Filtering - Merging: Total cpu/real time for replay: 11.79/9.24982
Info:Linear Algebra: Total cpu/real time for bwc: 2423.06/0.000170708
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 98.69
Info:Linear Algebra: Lingen CPU time 65.87, WCT time 6.75
Info:Linear Algebra: Mksol: WCT time 55.21
Info:Quadratic Characters: Total cpu/real time for characters: 11.98/2.73271
Info:Square Root: Total cpu/real time for sqrt: 225.71/31.8553
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 22325.7/1726.69
Info:root: Cleaning up computation data in /tmp/cado.h41cw3jk
30691851919955036118673663496102997995731 6308911543118214590496270535303299460668945151611500333862732488803

END:Mon 22 Nov 2021 00:05:41 AEDT (193,632,178,857,479,264,116,371,852,675,631,823,130,974,946,817,296,424,445,859,761,954,167,017,507,780,985,598,431,508,630,909,726,399,299,993 - C108)

401057994876555825075825689520368307727120788279624362659550091421302668466831816527051859805043721286435711<108>

61026729695391672403929996151546638161009<41>
6571841500902858040932094110593556715927182200558703728028167524079<67>

11/21/21 04:40:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing nfs on c108: 401057994876555825075825689520368307727120788279624362659550091421302668466831816527051859805043721286435711
11/21/21 04:40:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing poly selection with 8 threads
11/21/21 04:40:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: setting deadline of 357 seconds
11/21/21 04:47:05 v1.34.5 @ DESKTOP-RJPVCOL, nfs: completed 8 ranges of size 250 in 421.7376 seconds
11/21/21 04:47:05 v1.34.5 @ DESKTOP-RJPVCOL, nfs: best poly = # norm 1.032250e-014 alpha -5.131845 e 3.998e-009 rroots 4
11/21/21 04:47:05 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 04:52:02 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 04:56:24 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 05:00:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 05:05:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 05:10:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 05:15:26 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 05:20:18 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 05:24:56 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 05:29:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 05:34:24 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 05:39:22 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/21/21 05:39:59 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 4934214
11/21/21 05:39:59 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 05:44:51 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/21/21 05:45:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 5398675
11/21/21 05:45:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 05:50:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/21/21 05:51:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
11/21/21 05:53:29 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
11/21/21 05:53:57 v1.34.5 @ DESKTOP-RJPVCOL, prp41 = 61026729695391672403929996151546638161009
11/21/21 05:53:57 v1.34.5 @ DESKTOP-RJPVCOL, prp67 = 6571841500902858040932094110593556715927182200558703728028167524079
11/21/21 05:53:57 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 4433.9108 seconds.

239757402596496101395869958780253378456382696819892043852048457458470189939594398619207879508793634404752124760221208905636856735237189005540551<144>

1141218361696311789017714833643043491829418974041201245417481<61>
210088980902935776767123203830490364537606217024548110778456439740380416386708347471<84>

P84 = 210088980902935776767123203830490364537606217024548110778456439740380416386708347471
P61 = 1141218361696311789017714833643043491829418974041201245417481

1993355780203944441187694155660535216588493429562443245511131235581861113750201862367037554373692105929284496453623538982514844604721479346251177202927661287189<160>

16048273252375307027873642883015996920604436765129126361<56>
124209985015609551067934172600914862698403441247590954890394006013632013320153812437990712438343495515549<105>

P56 = 16048273252375307027873642883015996920604436765129126361
P105 = 124209985015609551067934172600914862698403441247590954890394006013632013320153812437990712438343495515549

150497699591143774266672710662510223996013164033738903494488976110935669980204535731769718446699647764186364668099190676379892431515940903774633602069<150>

948301186183528230940087204158275606157426244210092987032565346757<66>
158702426806853533376169592919551178750749907865301875486410211085738010784119129617<84>

P66 = 948301186183528230940087204158275606157426244210092987032565346757
P84 = 158702426806853533376169592919551178750749907865301875486410211085738010784119129617

80220321793976230081003310757752107440162705985817170064372128902074753535533817671455050507967245385602933933614377142928560458246202401<137>

2523874694349319037604275644331299<34>
31784589771267490576716185901203998675102566334789600045183175255374108509829748695634975529424041656299<104>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 80220321793976230081003310757752107440162705985817170064372128902074753535533817671455050507967245385602933933614377142928560458246202401 (137 digits)
Using B1=35530000, B2=192388936756, polynomial Dickson(12), sigma=1:335627605
Step 1 took 69188ms
Step 2 took 27028ms
********** Factor found in step 2: 2523874694349319037604275644331299
Found prime factor of 34 digits: 2523874694349319037604275644331299
Prime cofactor 31784589771267490576716185901203998675102566334789600045183175255374108509829748695634975529424041656299 has 104 digits

5467774742991299279543971850661031360881668439258115338843292747269650981180506322814905581074807648832029561358385249306710069552312845434567<142>

12215094217566250411996221632238185429123121494401<50>
447624442808489862209966228609313276953246347753807069956196354082226264445403930732281629767<93>

P50 = 12215094217566250411996221632238185429123121494401
P93 = 447624442808489862209966228609313276953246347753807069956196354082226264445403930732281629767

36004532999733436952574470953535254229001165444875090430603557998221474217558804457497004926674688972700742814148026824247685963<128>

6160202499622240588963863676842110195447599444752821<52>
5844699586083627482358992552763988341181173480400369871406641223519853877503<76>

CADO

STA:Sun 21 Nov 2021 04:53:46 AEDT (36,004,532,999,733,436,952,574,470,953,535,254,229,001,165,444,875,090,430,603,557,998,221,474,217,558,804,457,497,004,926,674,688,972,700,742,814,148,026,824,247,685,963 - C128)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 36004532999733436952574470953535254229001165444875090430603557998221474217558804457497004926674688972700742814148026824247685963 2>&1 | tee -a log68

Debug:root: Looking for parameter file for c128 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.c130
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.3u2we6rj
Info:Database: Opened connection to database /tmp/cado.3u2we6rj/c130.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 3600453299973343695257447095353525422900116544487509043060355799822147421755880445749
7004926674688972700742814148026824247685963
Debug:root: Root parameter dictionary:
N = 36004532999733436952574470953535254229001165444875090430603557998221474217558804457497004926674688972700742814148026824247685963
lim0 = 11872741
lim1 = 45278470
lpb0 = 27
lpb1 = 28
name = c130
...
n: 36004532999733436952574470953535254229001165444875090430603557998221474217558804457497004926674688972700742814148026824247685963
skew: 65681.658
c0: 118911626875428039835801053804
c1: 204076080358281652728147
c2: -66137306278618020926
c3: -863855346334891
c4: -19690848014
c5: 75240
Y0: -4059624000391574924785606
Y1: 2002929689427917023
# MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 2.39e-09
# f(x) = 75240*x^5-19690848014*x^4-863855346334891*x^3-66137306278618020926*x^2+204076080358281652728147*x+118911626875428039835801053804
# g(x) = 2002929689427917023*x-4059624000391574924785606
...
Info:Square Root: finished
Info:Square Root: Factors: 6160202499622240588963863676842110195447599444752821 5844699586083627482358992552763988341181173480400369871406641223519853877503
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1515.76/211.593
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 39012/37.290/45.522/50.120/0.866
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39012/37.080/40.863/46.300/1.043
Info:Polynomial Selection (size optimized): Total time: 5819.82
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1772.25
Info:Polynomial Selection (root optimized): Rootsieve time: 1771.34
Info:Generate Factor Base: Total cpu/real time for makefb: 58.98/5.30701
Info:Generate Free Relations: Total cpu/real time for freerel: 307.16/20.6572
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19193292
Info:Lattice Sieving: Average J: 7611.71 for 63464 special-q, max bucket fill: 0.638614
Info:Lattice Sieving: Total CPU time: 207817s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.64/67.563
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 67.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 329.29/104.618
Info:Filtering - Singleton removal: Total cpu/real time for purge: 207.19/82.9655
Info:Filtering - Merging: Total cpu/real time for merge: 966.4/878.228
Info:Filtering - Merging: Total cpu/real time for replay: 66.64/56.029
Info:Linear Algebra: Total cpu/real time for bwc: 51744.9/0.000323057
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 2203.45
Info:Linear Algebra: Lingen CPU time 336.4, WCT time 33.1
Info:Linear Algebra: Mksol: WCT time 1223.21
Info:Quadratic Characters: Total cpu/real time for characters: 55.47/13.1821
Info:Square Root: Total cpu/real time for sqrt: 1515.76/211.593
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 270711/19541
Info:root: Cleaning up computation data in /tmp/cado.3u2we6rj
6160202499622240588963863676842110195447599444752821 5844699586083627482358992552763988341181173480400369871406641223519853877503

END:Sun 21 Nov 2021 10:19:28 AEDT (36,004,532,999,733,436,952,574,470,953,535,254,229,001,165,444,875,090,430,603,557,998,221,474,217,558,804,457,497,004,926,674,688,972,700,742,814,148,026,824,247,685,963 - C128)

69631232012587969495929205583528977405742580051390510543096500061515168947204450333828821656452721014397623807105052983637821205477508697<137>

6589301174787075565146376420167689414420899<43>
10567316649453044528873470739018670457440895493024594082177818319110987417706625231275364354003<95>

P43 = 6589301174787075565146376420167689414420899
P95 = 10567316649453044528873470739018670457440895493024594082177818319110987417706625231275364354003

872997440790504402935510217415228510755794196535977260951309783295167629182751174205662786313423337365162474600021<114>

5248342700784675628246558503787411905797150129<46>
166337735655101797317700545731231533836532708681872174033335484645349<69>

872997440790504402935510217415228510755794196535977260951309783295167629182751174205662786313423337365162474600021=5248342700784675628246558503787411905797150129*166337735655101797317700545731231533836532708681872174033335484645349

cado polynomial
n: 872997440790504402935510217415228510755794196535977260951309783295167629182751174205662786313423337365162474600021
skew: 15666.197
c0: -34661991441700471210652550
c1: 5380999672401669233087
c2: 2092285063214588840
c3: -53941833111421
c4: -718936164
c5: 77760
Y0: -8943868907913712842397
Y1: 146954875006306007
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.205e-06
# f(x) = 77760*x^5-718936164*x^4-53941833111421*x^3+2092285063214588840*x^2+5380999672401669233087*x-34661991441700471210652550
# g(x) = 146954875006306007*x-8943868907913712842397

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

cado log (extracts)
Info:Square Root: Factors: 5248342700784675628246558503787411905797150129 166337735655101797317700545731231533836532708681872174033335484645349
Info:Square Root: Total cpu/real time for sqrt: 237.6/63.6551
Info:Filtering - Singleton removal: Total cpu/real time for purge: 85.51/100.173
Info:Generate Factor Base: Total cpu/real time for makefb: 4.22/1.13959
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.96/28.8014
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 28.099999999999998s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 293.39
Info:Polynomial Selection (root optimized): Rootsieve time: 292.31
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 116.69/124.724
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 92.39999999999999s
Info:Filtering - Merging: Merged matrix has 418877 rows and total weight 65221408 (155.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 66.78/19.8285
Info:Filtering - Merging: Total cpu/real time for replay: 13.9/11.3204
Info:Linear Algebra: Total cpu/real time for bwc: 2288.72/591.74
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1411.19, WCT time 362.01, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13184 iterations)
Info:Linear Algebra: Lingen CPU time 64.57, WCT time 16.45
Info:Linear Algebra: Mksol: CPU time 778.1,  WCT time 199.15, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 15.15/5.90316
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21726/32.830/40.607/46.370/1.075
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16883/32.160/35.930/41.060/0.797
Info:Polynomial Selection (size optimized): Total time: 1779.53
Info:Generate Free Relations: Total cpu/real time for freerel: 63.65/16.7659
Info:Square Root: Total cpu/real time for sqrt: 237.6/63.6551
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6949535
Info:Lattice Sieving: Average J: 1890.66 for 125144 special-q, max bucket fill -bkmult 1.0,1s:1.297010
Info:Lattice Sieving: Total time: 14446.3s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 31416.3/8641.67
Info:root: Cleaning up computation data in /tmp/cado.tc6yu9qt
5248342700784675628246558503787411905797150129 166337735655101797317700545731231533836532708681872174033335484645349

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

570006422607578676942838792549775208734746307000642260757867694283879254977520873474630700064226075786769428387925497752087347463070006422607578676942838792549775208734746307<174>

104058512429347849285159028918536878163494199372073<51>
5477749098081653164113680260055680603807596109665763722981038979810694570678827653102362130144854817799967141847149363778059<124>

P124 = 5477749098081653164113680260055680603807596109665763722981038979810694570678827653102362130144854817799967141847149363778059
P51 = 104058512429347849285159028918536878163494199372073

240711167537204588701674835229290422390392647563767775402935092013702882731085449535755796468562268754773076066099941373573459387691424129<138>

4313744230153546187608931642879972157828398633843347<52>
55800982787669022400476590634226663114025144527209106863531898224123855828809109038107<86>

P52 = 4313744230153546187608931642879972157828398633843347
P86 = 55800982787669022400476590634226663114025144527209106863531898224123855828809109038107

8250811993400126757434227029189587725579676867957910965674757921043326922420670230689753266366355594952218397457022538037947392519813395675127<142>

108995017066881430962569146167750880604150624203887128367319<60>
75698983452952444804783359321596038693431734606282481358478275988483554841494654433<83>

P60 = 108995017066881430962569146167750880604150624203887128367319
P83 = 75698983452952444804783359321596038693431734606282481358478275988483554841494654433

2861895713655685239850491251203909438404528434973671547106777517593712187558794188368674909936007100658833475546138948049674977759<130>

848612919141533203888578258818040426088138193132911<51>
3372439482244522693871557618877149903055113279365686159261728543941436312717969<79>

P51 = 848612919141533203888578258818040426088138193132911
P79 = 3372439482244522693871557618877149903055113279365686159261728543941436312717969

147256185631051194606352964645364661956672712286075509359095487406140956401714576239368073866702317168833095899731027613547313799693558628566724999572082867<156>

2614472367637921220961676886303094302027<40>
645039502124725722529886532415378514471876612681891<51>
87317879233024887785436637269914325811299828528448481574193033331<65>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 147256185631051194606352964645364661956672712286075509359095487406140956401714576239368073866702317168833095899731027613547313799693558628566724999572082867 (156 digits)
Using B1=39750000, B2=192393080896, polynomial Dickson(12), sigma=1:4004227996
Step 1 took 93624ms
Step 2 took 29974ms
********** Factor found in step 2: 2614472367637921220961676886303094302027
Found prime factor of 40 digits: 2614472367637921220961676886303094302027
Composite cofactor 56323481347057301147840334974800090593691543052707898078520963882285635854915288058146947503050148885343416263108921 has 116 digits


CADO

STA:Tue 30 Nov 2021 01:45:28 AEDT (56,323,481,347,057,301,147,840,334,974,800,090,593,691,543,052,707,898,078,520,963,882,285,635,854,915,288,058,146,947,503,050,148,885,343,416,263,108,921 - C116)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 56323481347057301147840334974800090593691543052707898078520963882285635854915288058146947503050148885343416263108921 2>&1 | tee -a log108

Debug:root: Looking for parameter file for c116 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.7soi7d26
Info:Database: Opened connection to database /tmp/cado.7soi7d26/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 5632348134705730114784033497480009059369154305270789807852096388228563585491528805814
6947503050148885343416263108921
Debug:root: Root parameter dictionary:
N = 56323481347057301147840334974800090593691543052707898078520963882285635854915288058146947503050148885343416263108921
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 56323481347057301147840334974800090593691543052707898078520963882285635854915288058146947503050148885343416263108921
skew: 3088466.146
c0: 7057313862576310245674740075020
c1: -10632852232485050830371686
c2: -3698540244265755727
c3: -375107363622
c4: 183960
Y0: -4183583673083175077163007339
Y1: 1072939142716115531
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 2.09e-09
# f(x) = 183960*x^4-375107363622*x^3-3698540244265755727*x^2-10632852232485050830371686*x+7057313862576310245674740075020
# g(x) = 1072939142716115531*x-4183583673083175077163007339
...
Info:Square Root: finished
Info:Square Root: Factors: 645039502124725722529886532415378514471876612681891 87317879233024887785436637269914325811299828528448481574193033331
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 290.87/41.7015
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): 56208/38.050/44.228/47.880/0.613
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56208/37.950/43.479/45.100/0.994
Info:Polynomial Selection (size optimized): Total time: 1114.27
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 145.95
Info:Polynomial Selection (root optimized): Rootsieve time: 145.28
Info:Generate Factor Base: Total cpu/real time for makefb: 2.65/0.27922
Info:Generate Free Relations: Total cpu/real time for freerel: 53.27/3.51198
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6785211
Info:Lattice Sieving: Average J: 4096 for 72593 special-q, max bucket fill: 0.643271
Info:Lattice Sieving: Total CPU time: 63674.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.79/19.2305
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 90.5/30.471
Info:Filtering - Singleton removal: Total cpu/real time for purge: 74.13/28.6859
Info:Filtering - Merging: Total cpu/real time for merge: 119.71/92.7473
Info:Filtering - Merging: Total cpu/real time for replay: 13.17/10.1849
Info:Linear Algebra: Total cpu/real time for bwc: 4023.39/0.000174522
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 163.1
Info:Linear Algebra: Lingen CPU time 84.73, WCT time 8.64
Info:Linear Algebra: Mksol: WCT time 97.19
Info:Quadratic Characters: Total cpu/real time for characters: 14.69/3.5137
Info:Square Root: Total cpu/real time for sqrt: 290.87/41.7015
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 69634/4789.34
Info:root: Cleaning up computation data in /tmp/cado.7soi7d26
645039502124725722529886532415378514471876612681891 87317879233024887785436637269914325811299828528448481574193033331

END:Tue 30 Nov 2021 03:05:18 AEDT (56,323,481,347,057,301,147,840,334,974,800,090,593,691,543,052,707,898,078,520,963,882,285,635,854,915,288,058,146,947,503,050,148,885,343,416,263,108,921 - C116)

2651736107001853855155069274302146365968946971452894343025129419683789077298309798016089483974206245276434461300692778651833322784801796471705228620979170561488107716354363907<175>

850639519030893135587833232980633317359858785178667945089<57>
3117344124833153114336630470434820039159176264452319015820592964917105929041893061112471743180176758129063993246149763<118>

Number: n
N=2651736107001853855155069274302146365968946971452894343025129419683789077298309798016089483974206245276434461300692778651833322784801796471705228620979170561488107716354363907  ( 175 digits)
SNFS difficulty: 183 digits.
Divisors found:

Thu Dec  9 21:55:35 2021  p57 factor: 850639519030893135587833232980633317359858785178667945089
Thu Dec  9 21:55:35 2021  p118 factor: 3117344124833153114336630470434820039159176264452319015820592964917105929041893061112471743180176758129063993246149763
Thu Dec  9 21:55:35 2021  elapsed time 00:26:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 71x10^183-8 = 78(183)
#
n: 2651736107001853855155069274302146365968946971452894343025129419683789077298309798016089483974206245276434461300692778651833322784801796471705228620979170561488107716354363907
m: 1000000000000000000000000000000000000
deg: 5
c5: 8875
c0: -1
skew: 0.16
# Murphy_E = 5.76e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4686087 hash collisions in 34034256 relations (31226937 unique)
Msieve: matrix is 946167 x 946392 (321.3 MB)

Sieving start time : 2021/12/09 19:24:02
Sieving end time  : 2021/12/09 21:28:37

Total sieving time: 2hrs 4min 35secs.

Total relation processing time: 0hrs 13min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 3sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118965] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.154164] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120)
[    0.152035] smpboot: Total of 16 processors activated (102384.96 BogoMIPS)

1796695148027771809469773487290299688235069709342855381747864325275311352433289153475446660396584017607959954229993495074763201250831255325491928086523175199<157>

19687187839894004886728081302337235556670013535176146837897571499<65>
91262152961580375296016648846460964030471372206950580518948562949490201910647016547134846301<92>

P65 = 19687187839894004886728081302337235556670013535176146837897571499
P92 = 91262152961580375296016648846460964030471372206950580518948562949490201910647016547134846301

66397326193514756564471717697930859562727334625563706753167681767692985287452279680560555928839453068278798235478525080993328838066018782879628620265581673757414813857695799112619<179>

18053105405298314415440192898724389365893<41>
3677889465710876633440590835058589956602921966402099439400226336341594688645878714096438493492705467347589052464074613254276703352940329583<139>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 66397326193514756564471717697930859562727334625563706753167681767692985287452279680560555928839453068278798235478525080993328838066018782879628620265581673757414813857695799112619 (179 digits)
Using B1=37740000, B2=192391008826, polynomial Dickson(12), sigma=1:2145281049
Step 1 took 104815ms
Step 2 took 33754ms
********** Factor found in step 2: 18053105405298314415440192898724389365893
Found prime factor of 41 digits: 18053105405298314415440192898724389365893
Prime cofactor 3677889465710876633440590835058589956602921966402099439400226336341594688645878714096438493492705467347589052464074613254276703352940329583 has 139 digits

26225508911299979119626419581343156108766445848492144982058678092977372906690851484923046288730737435473474456757760821123322739055089710619957212688857<152>

859921891341236598408576340296324558838690632551<48>
30497547713776133741865861555056803018207130721088594243973075813662712374236063979678582499167410211007<104>

26225508911299979119626419581343156108766445848492144982058678092977372906690851484923046288730737435473474456757760821123322739055089710619957212688857=859921891341236598408576340296324558838690632551*30497547713776133741865861555056803018207130721088594243973075813662712374236063979678582499167410211007

cado polynomial
n: 26225508911299979119626419581343156108766445848492144982058678092977372906690851484923046288730737435473474456757760821123322739055089710619957212688857
skew: 0.26
type: snfs
c0: -2
c5: 1775
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 1775*x^5-2
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9600000
tasks.lim1 = 9600000
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: 859921891341236598408576340296324558838690632551 30497547713776133741865861555056803018207130721088594243973075813662712374236063979678582499167410211007
Info:Square Root: Total cpu/real time for sqrt: 556.28/176.885
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25341784
Info:Lattice Sieving: Average J: 1894.25 for 2073123 special-q, max bucket fill -bkmult 1.0,1s:1.158530
Info:Lattice Sieving: Total time: 381186s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.13/2.2566
Info:Generate Free Relations: Total cpu/real time for freerel: 118.85/32.2686
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.6/120.701
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 120.19999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 437.21/433.772
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 349.2s
Info:Filtering - Merging: Merged matrix has 1935363 rows and total weight 330612819 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 510.64/141.582
Info:Filtering - Merging: Total cpu/real time for replay: 74.1/63.7401
Info:Linear Algebra: Total cpu/real time for bwc: 62535.1/16045.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 40064.37, WCT time 10224.34, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (60672 iterations)
Info:Linear Algebra: Lingen CPU time 396.81, WCT time 100.95
Info:Linear Algebra: Mksol: CPU time 21705.73,  WCT time 5570.58, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30464 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 68.06/28.8102
Info:Square Root: Total cpu/real time for sqrt: 556.28/176.885
Info:Filtering - Singleton removal: Total cpu/real time for purge: 328.09/387.095
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 776545/207865
Info:root: Cleaning up computation data in /tmp/cado.poce_838
859921891341236598408576340296324558838690632551 30497547713776133741865861555056803018207130721088594243973075813662712374236063979678582499167410211007

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

92767382126392966925392500971386461478349796079975265919792489831820708053853169836515490481105953033040692596671753225442728253206009533<137>

605065628466892687238056504652122798452917<42>
153317884477169421760961374279026184412104496429936731938703679373025196702189031669216817199849<96>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 92767382126392966925392500971386461478349796079975265919792489831820708053853169836515490481105953033040692596671753225442728253206009533 (137 digits)
Using B1=38830000, B2=192392390206, polynomial Dickson(12), sigma=1:146594929
Step 1 took 77968ms
Step 2 took 26754ms
********** Factor found in step 2: 605065628466892687238056504652122798452917
Found prime factor of 42 digits: 605065628466892687238056504652122798452917
Prime cofactor 153317884477169421760961374279026184412104496429936731938703679373025196702189031669216817199849 has 96 digits

15054779643228274843378658388041805543630514193697237774767972843034711240755386520066229855255989101483810969<110>

705957793378341790047876626732592735046351<42>
21325325372759236710480688594285617661309281352199164784452382775319<68>

15054779643228274843378658388041805543630514193697237774767972843034711240755386520066229855255989101483810969=705957793378341790047876626732592735046351*21325325372759236710480688594285617661309281352199164784452382775319

cado polynomial
n: 15054779643228274843378658388041805543630514193697237774767972843034711240755386520066229855255989101483810969
skew: 17493.828
c0: 6971072354512533296306389
c1: 394131631654242108386
c2: -160085361818849523
c3: -579631248958
c4: 118117066
c5: -4440
Y0: -1285839796035610925442
Y1: 1725543030834731
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.665e-06
# f(x) = -4440*x^5+118117066*x^4-579631248958*x^3-160085361818849523*x^2+394131631654242108386*x+6971072354512533296306389
# g(x) = 1725543030834731*x-1285839796035610925442

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

cado log (extracts)
Info:Square Root: Factors: 21325325372759236710480688594285617661309281352199164784452382775319 705957793378341790047876626732592735046351
Info:Square Root: Total cpu/real time for sqrt: 147.47/39.7716
Info:Generate Factor Base: Total cpu/real time for makefb: 2.37/0.637002
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.8/20.9439
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.099999999999998s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 230.14
Info:Polynomial Selection (root optimized): Rootsieve time: 229.17
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 82.87/91.2721
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 65.6s
Info:Filtering - Merging: Merged matrix has 287904 rows and total weight 44935793 (156.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 43.72/13.1219
Info:Filtering - Merging: Total cpu/real time for replay: 9.57/7.72839
Info:Linear Algebra: Total cpu/real time for bwc: 1050.38/272.09
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 633.42, WCT time 162.14, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9088 iterations)
Info:Linear Algebra: Lingen CPU time 44.12, WCT time 11.27
Info:Linear Algebra: Mksol: CPU time 349.98,  WCT time 89.57, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4608 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.17/16.3209
Info:Quadratic Characters: Total cpu/real time for characters: 10.71/4.15685
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11546/31.510/38.764/44.190/1.091
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9027/30.800/34.357/39.250/0.916
Info:Polynomial Selection (size optimized): Total time: 700.61
Info:Square Root: Total cpu/real time for sqrt: 147.47/39.7716
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5127745
Info:Lattice Sieving: Average J: 1895.45 for 79408 special-q, max bucket fill -bkmult 1.0,1s:1.285490
Info:Lattice Sieving: Total time: 7713.92s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 61.91/69.8002
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 16329.2/4598.65
Info:root: Cleaning up computation data in /tmp/cado._pk4hxf_
21325325372759236710480688594285617661309281352199164784452382775319 705957793378341790047876626732592735046351

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

6297545513308461068555472144668544159019369598423863288408905260833751062544108931223497193404540269265271704180534235130666102426495281<136>

4731905969089356854677888523314323993964675539542316301<55>
1330868693174899990947831786166928443854009772501027056449471278079218723449004981<82>

6297545513308461068555472144668544159019369598423863288408905260833751062544108931223497193404540269265271704180534235130666102426495281=4731905969089356854677888523314323993964675539542316301*1330868693174899990947831786166928443854009772501027056449471278079218723449004981

cado polynomial
n: 6297545513308461068555472144668544159019369598423863288408905260833751062544108931223497193404540269265271704180534235130666102426495281
skew: 0.41
type: snfs
c0: -4
c5: 355
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 355*x^5-4
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11300000
tasks.lim1 = 11300000
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: 1330868693174899990947831786166928443854009772501027056449471278079218723449004981 4731905969089356854677888523314323993964675539542316301
Info:Square Root: Total cpu/real time for sqrt: 2340.37/706.077
Info:Filtering - Singleton removal: Total cpu/real time for purge: 410.14/478.05
Info:Generate Free Relations: Total cpu/real time for freerel: 120.06/33.0211
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28288295
Info:Lattice Sieving: Average J: 1893.85 for 2847030 special-q, max bucket fill -bkmult 1.0,1s:1.139350
Info:Lattice Sieving: Total time: 635572s
Info:Linear Algebra: Total cpu/real time for bwc: 96718.5/24780.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 61852.81, WCT time 15798.85, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (73728 iterations)
Info:Linear Algebra: Lingen CPU time 509.98, WCT time 129.16
Info:Linear Algebra: Mksol: CPU time 33533.67,  WCT time 8573.49, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36864 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.74/2.42275
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 118.45/138.417
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 137.89999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 513.63/517.516
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 415s
Info:Filtering - Merging: Merged matrix has 2358707 rows and total weight 401775098 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 639.1/176.778
Info:Filtering - Merging: Total cpu/real time for replay: 91.36/81.1953
Info:Quadratic Characters: Total cpu/real time for characters: 83.02/36.8722
Info:Square Root: Total cpu/real time for sqrt: 2340.37/706.077
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.30072e+06/258158
Info:root: Cleaning up computation data in /tmp/cado.1bu8vbyr
1330868693174899990947831786166928443854009772501027056449471278079218723449004981 4731905969089356854677888523314323993964675539542316301

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

45211340071645938734034632202511883135559653641970826424575699774628134695948264531086182072161071917577580337877930238649639560678484327623879915152322077618953432713617907<173>

5647515665459158276224827791307363128414651909<46>
8005527164477574703800680041179303497628963987131636499441680893004602850114153042314438475274074641130047810963779571313136023<127>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 45211340071645938734034632202511883135559653641970826424575699774628134695948264531086182072161071917577580337877930238649639560678484327623879915152322077618953432713617907 (173 digits)
Using B1=35200000, B2=192388936756, polynomial Dickson(12), sigma=1:1501238970
Step 1 took 83784ms
Step 2 took 30993ms
********** Factor found in step 2: 5647515665459158276224827791307363128414651909
Found prime factor of 46 digits: 5647515665459158276224827791307363128414651909
Prime cofactor 8005527164477574703800680041179303497628963987131636499441680893004602850114153042314438475274074641130047810963779571313136023 has 127 digits

3715752247531134891833794958252924360916594464009511065388438831537067761796824291013844560337754247109736857124750970775777224172557291733819273802042969181<157>

22782334957202396465609137377696906818606861<44>
163097955258376128621214460155994209877685875720191806563475989660101535717140381688241010495759825075788814399121<114>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3715752247531134891833794958252924360916594464009511065388438831537067761796824291013844560337754247109736857124750970775777224172557291733819273802042969181 (157 digits)
Using B1=38000000, B2=192391699516, polynomial Dickson(12), sigma=1:938160404
Step 1 took 90986ms
Step 2 took 29895ms
********** Factor found in step 2: 22782334957202396465609137377696906818606861
Found prime factor of 44 digits: 22782334957202396465609137377696906818606861
Prime cofactor 163097955258376128621214460155994209877685875720191806563475989660101535717140381688241010495759825075788814399121 has 114 digits

354809733166366091096848919543579113294833855556605535416493948664133510458058122347527618919509215452664505518587232391742775307871255378130446778309952597271942870523496209123<177>

197771998437204361132277391434655257194056669948860933<54>
1509576626877977533654441201416335963421948140178489223<55>
1188435346129763052030890109431716005108981915096661265182804844277697<70>

Number: n
N=354809733166366091096848919543579113294833855556605535416493948664133510458058122347527618919509215452664505518587232391742775307871255378130446778309952597271942870523496209123  ( 177 digits)
SNFS difficulty: 195 digits.
Divisors found:

Mon Dec 13 07:01:50 2021  found factor: 1509576626877977533654441201416335963421948140178489223
Mon Dec 13 07:03:52 2021  found factor: 1509576626877977533654441201416335963421948140178489223
Mon Dec 13 07:05:53 2021  found factor: 1509576626877977533654441201416335963421948140178489223
Mon Dec 13 07:07:55 2021  p54 factor: 197771998437204361132277391434655257194056669948860933
Mon Dec 13 07:07:55 2021  p55 factor: 1509576626877977533654441201416335963421948140178489223
Mon Dec 13 07:07:55 2021  p70 factor: 1188435346129763052030890109431716005108981915096661265182804844277697
Mon Dec 13 07:07:55 2021  elapsed time 01:06:28 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 71x10^194-8 = 78(194)
#
n: 354809733166366091096848919543579113294833855556605535416493948664133510458058122347527618919509215452664505518587232391742775307871255378130446778309952597271942870523496209123
m: 500000000000000000000000000000000000000
deg: 5
c5: 142
c0: -5
skew: 0.51
# Murphy_E = 2.017e-11
type: snfs
lss: 1
rlim: 12800000
alim: 12800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12800000/12800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4268309 hash collisions in 31021127 relations (28386283 unique)
Msieve: matrix is 1601062 x 1601287 (555.9 MB)

Sieving start time : 2021/12/12 23:25:51
Sieving end time  : 2021/12/13 06:00:55

Total sieving time: 6hrs 35min 4secs.

Total relation processing time: 0hrs 50min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 7sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12800000,12800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118230] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153572] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.15 BogoMIPS (lpj=12798304)
[    0.152049] smpboot: Total of 16 processors activated (102386.43 BogoMIPS)

1475611172428212317401342528139808806214614702111986109557246427740401623648775438594930445643360216787818930319070869007768457351289940644449822737<148>

40203335706253098135623806993095021476110170615482394757560370275085031<71>
36703699991707416442379962570891985939429486733953359437176859906684467129927<77>

1475611172428212317401342528139808806214614702111986109557246427740401623648775438594930445643360216787818930319070869007768457351289940644449822737=40203335706253098135623806993095021476110170615482394757560370275085031*36703699991707416442379962570891985939429486733953359437176859906684467129927

cado polynomial
n: 1475611172428212317401342528139808806214614702111986109557246427740401623648775438594930445643360216787818930319070869007768457351289940644449822737
skew: 0.65
type: snfs
c0: -8
c5: 71
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 71*x^5-8
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13400000
tasks.lim1 = 13400000
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: 40203335706253098135623806993095021476110170615482394757560370275085031 36703699991707416442379962570891985939429486733953359437176859906684467129927
Info:Square Root: Total cpu/real time for sqrt: 614.91/195.316
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27457374
Info:Lattice Sieving: Average J: 1893.68 for 2392290 special-q, max bucket fill -bkmult 1.0,1s:1.140120
Info:Lattice Sieving: Total time: 549368s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.62/2.69675
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 115.98/133.266
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 132.49999999999997s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 512.38/524.347
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 423.3s
Info:Generate Free Relations: Total cpu/real time for freerel: 117.58/32.1516
Info:Filtering - Merging: Merged matrix has 2282205 rows and total weight 390366002 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 652.36/179.578
Info:Filtering - Merging: Total cpu/real time for replay: 88.31/76.9434
Info:Linear Algebra: Total cpu/real time for bwc: 89644.2/22957.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 57380.05, WCT time 14647.88, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (71680 iterations)
Info:Linear Algebra: Lingen CPU time 502.1, WCT time 127.21
Info:Linear Algebra: Mksol: CPU time 30971.12,  WCT time 7917.16, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35840 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 78.79/34.6569
Info:Square Root: Total cpu/real time for sqrt: 614.91/195.316
Info:Filtering - Singleton removal: Total cpu/real time for purge: 413.01/482.936
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.12113e+06/299261
Info:root: Cleaning up computation data in /tmp/cado.bn1tunss
40203335706253098135623806993095021476110170615482394757560370275085031 36703699991707416442379962570891985939429486733953359437176859906684467129927

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

98611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<197>

33360243907838144690845163740286657346175535210948994456136867<62>
2955946946417318347202798286694209003817552969359454772702951062563376118333053820368118566009744094982612881127709775747469955530683533<136>

Number: n
N=98611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111  ( 197 digits)
SNFS difficulty: 198 digits.
Divisors found:

Tue Nov 30 06:51:20 2021  p62 factor: 33360243907838144690845163740286657346175535210948994456136867
Tue Nov 30 06:51:20 2021  p136 factor: 2955946946417318347202798286694209003817552969359454772702951062563376118333053820368118566009744094982612881127709775747469955530683533
Tue Nov 30 06:51:20 2021  elapsed time 01:41:41 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 71x10^197-8 = 78(197)
#
n: 98611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1775
c0: -2
skew: 0.26
# Murphy_E = 1.519e-11
type: snfs
lss: 1
rlim: 14100000
alim: 14100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14100000/14100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4213831 hash collisions in 29540611 relations (26807174 unique)
Msieve: matrix is 1887407 x 1887632 (656.5 MB)

Sieving start time : 2021/11/29 21:23:49
Sieving end time  : 2021/11/30 05:09:04

Total sieving time: 7hrs 45min 15secs.

Total relation processing time: 1hrs 10min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 54sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14100000,14100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117806] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239948K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487288K reserved, 0K cma-reserved)
[    0.152615] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798284)
[    0.150213] smpboot: Total of 16 processors activated (102386.27 BogoMIPS)

5433632242061306025761780837588334102298856375169722263404152680693717029611152430423084280180791120895931535318572203670670046812686946614140715430933859791824909608317651429<175>

156645133479567394281440320277065703803<39>
34687526649336109641348654585904553496919577726106111621955374478010758897216619428033372752826536030231512647393197539745196251918349343<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1605238341
Step 1 took 8343ms
Step 2 took 4141ms
********** Factor found in step 2: 156645133479567394281440320277065703803
Found prime factor of 39 digits: 156645133479567394281440320277065703803
Prime cofactor 34687526649336109641348654585904553496919577726106111621955374478010758897216619428033372752826536030231512647393197539745196251918349343 has 137 digits
 

GMP-ECM

228357953651291821048516012805698760502254510645302496883738309820193190927644527490505691699966333071453044375969125776799940519966216613070170610045463471333236409<165>

8591139356915928106013503415170650674861449965229717180211836055405663<70>
26580636649487247459045645469937541827635784903140543937545724390732052862975149617750305338343<95>

Info:Filtering - Singleton removal: Total cpu/real time for purge: 539.02/79.1529
Info:Quadratic Characters: Total cpu/real time for characters: 84.11/18.123
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 308.79/161.356
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 161.2s
Info:Square Root: Total cpu/real time for sqrt: 4504.73/197.232
Info:Filtering - Merging: Total cpu/real time for merge: 2290.4/99.6274
Info:Filtering - Merging: Total cpu/real time for replay: 96.59/81.6308
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43274365
Info:Lattice Sieving: Average J: 3790.46 for 1987495 special-q, max bucket fill -bkmult 1.0,1s:1.078990
Info:Lattice Sieving: Total time: 1.24073e+06s
Info:Generate Factor Base: Total cpu/real time for makefb: 7/0.71261
Info:Linear Algebra: Total cpu/real time for bwc: 363941/14895.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 227940.67, WCT time 9579.69, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (88576 iterations)
Info:Linear Algebra: Lingen CPU time 18923.38, WCT time 314.23
Info:Linear Algebra: Mksol: CPU time 114676.13,  WCT time 4859.33, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (44544 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 797.17/177.744
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 157.9s
Info:Generate Free Relations: Total cpu/real time for freerel: 212.59/10.938
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.77165e+06/54902
26580636649487247459045645469937541827635784903140543937545724390732052862975149617750305338343 8591139356915928106013503415170650674861449965229717180211836055405663

$ cat 78888_201.poly 
n: 228357953651291821048516012805698760502254510645302496883738309820193190927644527490505691699966333071453044375969125776799940519966216613070170610045463471333236409
skew: 0.41
c0: -4
c5: 355
Y0: -10000000000000000000000000000000000000000
Y1: 1
# f(x) = 355*x^5-4
# g(x) = x-10000000000000000000000000000000000000000

$ cat 78888_201.params 
tasks.I = 13
tasks.qmin = 16600000
tasks.lim0 = 16600000
tasks.lim1 = 16600000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.sieve.sqside = 0
tasks.sieve.qrange = 10000

tasks.filter.purge.keep = 160
tasks.filter.target_density = 170.0

tasks.linalg.bwc.interleaving = 0
tasks.linalg.m = 64
tasks.linalg.n = 64

CADO-NFS-3.0.0-dev

AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 110GiB RAM

242746673794294065664923370812421128033158297381203028942062352425414518284922835808288009501886791891475023770827688369858378896645281019047805607<147>

54330917340873403155679958705977938543029509902970838300642977<62>
4467928863989097565562321499066679836191069354493472974158435927387616505140704261191<85>

4467928863989097565562321499066679836191069354493472974158435927387616505140704261191
54330917340873403155679958705977938543029509902970838300642977

cado-nfs

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

110626216426893204416388199034973196072538601539842162517327437860457170972123392092884810792426555361631570938757813094106922990195411590845988430007104009106767687569<168>

11353439301327257955404746235373455679196085327657<50>
9743850606922309540341242567738017711476436332671892335854118139239641788161644754472455671831154692043696582771698217<118>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 110626216426893204416388199034973196072538601539842162517327437860457170972123392092884810792426555361631570938757813094106922990195411590845988430007104009106767687569 (168 digits)
Using B1=37400000, B2=192391008826, polynomial Dickson(12), sigma=1:4167960340
Step 1 took 89735ms
Step 2 took 31391ms
********** Factor found in step 2: 11353439301327257955404746235373455679196085327657
Found prime factor of 50 digits: 11353439301327257955404746235373455679196085327657
Prime cofactor 9743850606922309540341242567738017711476436332671892335854118139239641788161644754472455671831154692043696582771698217 has 118 digits

4761885684959010248147296382711147427863262870314937506651482059309228938409054064611864024925847922005881092965572729080638836212252404412804618254230198557154651799808235046069<178>

1219255242177318513227197949238577697930607859059671<52>
3905569170615450615801235225297555000953004026818110576656669040576381498205583643076966883330051202741655805002751282961465939<127>

09/02/24 10:52:50 v1.34.5 @ RYZEN-9,
09/02/24 10:52:50 v1.34.5 @ RYZEN-9, ****************************
09/02/24 10:52:50 v1.34.5 @ RYZEN-9, Starting factorization of 70999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992
09/02/24 10:52:50 v1.34.5 @ RYZEN-9, using pretesting plan: normal
09/02/24 10:52:50 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
09/02/24 10:52:50 v1.34.5 @ RYZEN-9, ****************************
09/02/24 10:52:50 v1.34.5 @ RYZEN-9, div: found prime factor = 2
09/02/24 10:52:50 v1.34.5 @ RYZEN-9, div: found prime factor = 2
09/02/24 10:52:50 v1.34.5 @ RYZEN-9, div: found prime factor = 2
09/02/24 10:52:50 v1.34.5 @ RYZEN-9, div: found prime factor = 3
09/02/24 10:52:50 v1.34.5 @ RYZEN-9, div: found prime factor = 3
09/02/24 10:52:50 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C207
09/02/24 10:52:50 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C207
09/02/24 10:52:50 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C207
09/02/24 10:52:50 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C207
09/02/24 10:52:50 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
09/02/24 10:52:50 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 63.69
09/02/24 10:52:50 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C207 input, B1=2K, B2=gmp-ecm default
09/02/24 10:52:50 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
09/02/24 10:52:50 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 63.69
09/02/24 10:52:53 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C207 input, B1=11K, B2=gmp-ecm default
09/02/24 10:52:53 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
09/02/24 10:52:53 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 63.69
09/02/24 10:53:01 v1.34.5 @ RYZEN-9, prp30 = 207084162945335265763076638219 (curve 60 stg2 B1=50000 sigma=3703314484 thread=0)
09/02/24 10:53:01 v1.34.5 @ RYZEN-9, Finished 60 curves using Lenstra ECM method on C207 input, B1=50K, B2=gmp-ecm default
09/02/24 10:53:01 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 21.64
09/02/24 10:53:01 v1.34.5 @ RYZEN-9, scheduled 154 curves at B1=50000 toward target pretesting depth of 54.77
09/02/24 10:53:38 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c209: 70999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992
09/02/24 10:53:38 v1.34.5 @ RYZEN-9, nfs: input divides 71*10^207 - 8
09/02/24 10:53:38 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 4761885684959010248147296382711147427863262870314937506651482059309228938409054064611864024925847922005881092965572729080638836212252404412804618254230198557154651799808235046069
09/02/24 10:53:38 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c178: 4761885684959010248147296382711147427863262870314937506651482059309228938409054064611864024925847922005881092965572729080638836212252404412804618254230198557154651799808235046069
09/02/24 10:53:38 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 4761885684959010248147296382711147427863262870314937506651482059309228938409054064611864024925847922005881092965572729080638836212252404412804618254230198557154651799808235046069
# 71*10^207-8, difficulty: 210.85, anorm: -3.33e+026, rnorm: 1.97e+047
# scaled difficulty: 214.31, suggest sieving rational side
# size = 1.349e-014, alpha = 1.006, combined = 5.764e-012, rroots = 1
type: snfs
size: 210
skew: 0.2573
c5: 1775
c0: -2
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 4761885684959010248147296382711147427863262870314937506651482059309228938409054064611864024925847922005881092965572729080638836212252404412804618254230198557154651799808235046069
# 71*10^207-8, difficulty: 211.85, anorm: -6.76e+031, rnorm: 2.13e+040
# scaled difficulty: 213.27, suggest sieving rational side
# size = 1.764e-010, alpha = 0.193, combined = 4.985e-012, rroots = 2
type: snfs
size: 211
skew: 0.2198
c6: 8875
c0: -1
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
n: 4761885684959010248147296382711147427863262870314937506651482059309228938409054064611864024925847922005881092965572729080638836212252404412804618254230198557154651799808235046069
# 71*10^207-8, difficulty: 209.75, anorm: -9.12e+026, rnorm: 2.79e+047
# scaled difficulty: 213.17, suggest sieving rational side
# size = 9.537e-015, alpha = -0.034, combined = 4.705e-012, rroots = 1
type: snfs
size: 209
skew: 0.5145
c5: 1775
c0: -64
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
09/02/24 10:53:40 v1.34.5 @ RYZEN-9, test: fb generation took 1.8750 seconds
09/02/24 10:53:40 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 22600000-22602000
skew: 0.2573
c5: 1775
c0: -2
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
09/02/24 10:56:54 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
09/02/24 10:56:57 v1.34.5 @ RYZEN-9, test: fb generation took 2.6934 seconds
09/02/24 10:56:57 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 22600000-22602000
skew: 0.2198
c6: 8875
c0: -1
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
09/02/24 11:00:10 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
09/02/24 11:00:12 v1.34.5 @ RYZEN-9, test: fb generation took 1.7817 seconds
09/02/24 11:00:12 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the rational side over range 21400000-21402000
skew: 0.5145
c5: 1775
c0: -64
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
09/02/24 11:03:31 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
09/02/24 11:03:31 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 4761885684959010248147296382711147427863262870314937506651482059309228938409054064611864024925847922005881092965572729080638836212252404412804618254230198557154651799808235046069
# 71*10^207-8, difficulty: 210.85, anorm: -3.33e+026, rnorm: 1.97e+047
# scaled difficulty: 214.31, suggest sieving rational side
# size = 1.349e-014, alpha = 1.006, combined = 5.764e-012, rroots = 1
type: snfs
size: 210
skew: 0.2573
c5: 1775
c0: -2
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
09/03/24 21:36:22 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/03/24 21:43:11 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
09/04/24 04:06:47 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
09/04/24 04:17:02 v1.34.5 @ RYZEN-9, prp127 = 3905569170615450615801235225297555000953004026818110576656669040576381498205583643076966883330051202741655805002751282961465939
09/04/24 04:17:02 v1.34.5 @ RYZEN-9, prp52 = 1219255242177318513227197949238577697930607859059671
09/04/24 04:17:02 v1.34.5 @ RYZEN-9, NFS elapsed time = 149004.1304 seconds.
09/04/24 04:17:02 v1.34.5 @ RYZEN-9,
09/04/24 04:17:02 v1.34.5 @ RYZEN-9,
09/02/24 11:03:31 v1.34.5 @ RYZEN-9, test: test sieving took 592.26 seconds

YAFU

3530069395318276970806821952556855659043107542652473422050189730524208361397877901566339473395035253245831208275251827556313426342829789908650573509542637802163416240851122179251703631<184>

195384520194494883037280013606911652474055093073000600967958397073852020000121570439893006711392988187548740311417198643267882021233468579634123109289012256997077971440148146124632657296927<189>

30756457121366213958421332824867903292275377<44>
1293720076041671189889798248231058287789547371046047<52>
4910362202070104389291121667805026654474315649937451419256961393408998530680155668172121754833<94>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 195384520194494883037280013606911652474055093073000600967958397073852020000121570439893006711392988187548740311417198643267882021233468579634123109289012256997077971440148146124632657296927 (189 digits)
Using B1=36200000, B2=192389627446, polynomial Dickson(12), sigma=1:2158251882
Step 1 took 99474ms
Step 2 took 34327ms
********** Factor found in step 2: 30756457121366213958421332824867903292275377
Found prime factor of 44 digits: 30756457121366213958421332824867903292275377
Composite cofactor 6352634161454283443591794707035826485254815627150573514656873032036114813060205317321211050808839417393051438834963711429423186143623384487795151 has 145 digits

CADO

STA:Mon 13 Dec 2021 13:48:40 AEDT (6,352,634,161,454,283,443,591,794,707,035,826,485,254,815,627,150,573,514,656,873,032,036,114,813,060,205,317,321,211,050,808,839,417,393,051,438,834,963,711,429,423,186,143,623,384,487,795,151 - C145)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 6352634161454283443591794707035826485254815627150573514656873032036114813060205317321211050808839417393051438834963711429423186143623384487795151 2>&1 | tee -a log116

Debug:root: Looking for parameter file for c145 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.c145
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c145
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.xn36c6p0
Info:Database: Opened connection to database /tmp/cado.xn36c6p0/c145.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 6352634161454283443591794707035826485254815627150573514656873032036114813060205317321
211050808839417393051438834963711429423186143623384487795151
Debug:root: Root parameter dictionary:
N = 6352634161454283443591794707035826485254815627150573514656873032036114813060205317321211050808839417393051438834963711429423186143623384487795151
lim0 = 10000000
lim1 = 20000000
lpb0 = 29
lpb1 = 29
name = c145
...
n: 6352634161454283443591794707035826485254815627150573514656873032036114813060205317321211050808839417393051438834963711429423186143623384487795151
skew: 252042.296
c0: -1963499217491704777116543295649214
c1: 55900775856371051893689011029
c2: 101910223779647261513514
c3: -2609926769243838409
c4: -1347606238320
c5: 3762000
Y0: -8739058590728582732862412348
Y1: 144716035035726531467
# MurphyE (Bf=2.00e+07,Bg=1.00e+07,area=6.71e+14) = 2.83e-10
# f(x) = 3762000*x^5-1347606238320*x^4-2609926769243838409*x^3+101910223779647261513514*x^2+55900775856371051893689011029*x-1963499217491704777116543295649214
# g(x) = 144716035035726531467*x-8739058590728582732862412348
...
Info:Square Root: finished
Info:Square Root: Factors: 1293720076041671189889798248231058287789547371046047 4910362202070104389291121667805026654474315649937451419256961393408998530680155668172121754833
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78291/43.790/52.207/57.330/0.926
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78291/42.260/46.886/53.000/1.383
Info:Polynomial Selection (size optimized): Total time: 51006.1
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2255.18
Info:Polynomial Selection (root optimized): Rootsieve time: 2254.27
Info:Generate Factor Base: Total cpu/real time for makefb: 25.63/2.31946
Info:Generate Free Relations: Total cpu/real time for freerel: 620.75/41.6584
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49131995
Info:Lattice Sieving: Average J: 3789.25 for 1165865 special-q, max bucket fill: 0.704465
Info:Lattice Sieving: Total CPU time: 2.67821e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 136.41/188.562
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 188.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 949.38/364.458
Info:Filtering - Singleton removal: Total cpu/real time for purge: 514.91/281.682
Info:Filtering - Merging: Total cpu/real time for merge: 1789.58/1500.79
Info:Filtering - Merging: Total cpu/real time for replay: 155.05/120.245
Info:Linear Algebra: Total cpu/real time for bwc: 460431/0.000287533
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 20033.65
Info:Linear Algebra: Lingen CPU time 1006.19, WCT time 96.28
Info:Linear Algebra: Mksol: WCT time 10915.81
Info:Quadratic Characters: Total cpu/real time for characters: 157.71/37.5247
Info:Square Root: Total cpu/real time for sqrt: 5505.12/774.975
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 3.20175e+06/209574
Info:root: Cleaning up computation data in /tmp/cado.xn36c6p0
1293720076041671189889798248231058287789547371046047 4910362202070104389291121667805026654474315649937451419256961393408998530680155668172121754833

END:Thu 16 Dec 2021 00:01:36 AEDT (6,352,634,161,454,283,443,591,794,707,035,826,485,254,815,627,150,573,514,656,873,032,036,114,813,060,205,317,321,211,050,808,839,417,393,051,438,834,963,711,429,423,186,143,623,384,487,795,151 - C145)

1492362401058146332242534132086661244775972182645024832074196644450793935479150138655169558709705111086259197863723084861493624702835382566095030030056868120338114047965213827639747391<184>

147447373059074312803828380187246486978708089119597024111813637918475538074552967222038226033003346599997224540701548851656776983343754926240122345798728150519322586798853331801<177>

6939899299128817824320065809794367851414996594562090399323760573083199813580620516922797823334795599439177940581950631706777329714420211489032613225923241194929455434899052811265235522588101532877137586729192227<211>

119001918012558805264003724744374399707801351163023241083621251756004359049528713432113909419222101654778554075956534285965662722574934549806812097206083309970351<162>

54474597149048405490211170093463627284480807150651360356514409109260799496654350307721538583295121553829239797986147310656150902953978682879660638887394822652655534553909662375245149410859275458794971<200>

674830097448900831427072033092024054319535143854060479708089045560522780759249392052673<87>
80723425577759304699051746081844851110163959157032626156015959668487894867688616048296862885708014323391523753627<113>

Number: 78888_220
N = 54474597149048405490211170093463627284480807150651360356514409109260799496654350307721538583295121553829239797986147310656150902953978682879660638887394822652655534553909662375245149410859275458794971 (200 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=674830097448900831427072033092024054319535143854060479708089045560522780759249392052673 (pp87)
r2=80723425577759304699051746081844851110163959157032626156015959668487894867688616048296862885708014323391523753627 (pp113)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 23.07 hours.
Factorization parameters were as follows:
n: 54474597149048405490211170093463627284480807150651360356514409109260799496654350307721538583295121553829239797986147310656150902953978682879660638887394822652655534553909662375245149410859275458794971
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 71
c0: -8
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31002682
Relations: 7267456 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 8.32 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 6356953 x 6357178
Matrix solve time: 14.28 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 23.07 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

3269330375358284484273791121213007576807247383869078397281234899033958180726023138907148259175368027643226761297800518935741199280562756561723447847640887263985297<163>

16713747645951035781544256120527306967984934086629001883239171374764595103578154425612052730696798493408662900188323917137476459510357815442561205273069679849340866290018832391713747645951035781544256120527306967984934086629<224>

12597638670581187476595240610102428421177821817086178712453869429134901386036962389359217716896921954961062456681581563733308168840888804176613791511065163664055647085361205019030296709197891330564719618337<206>

15367814568339955878158965653192849777401231866567122561457149298873073156708738888217524267423584393766021813888920971007665695029637406061215549503722036577571047539003333678163791885045018375532354483454658402763<215>

3181003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681<229>

1678599288094971443625918984216845511677728039<46>
1895034512876200217710798491058597677401407449037888614621717659252955668227719717028723212883111967685129399680270203385725069090122575381497483676107712025103915924154365066519940479<184>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:777442342
Step 1 took 9532ms
Step 2 took 4312ms
********** Factor found in step 2: 1678599288094971443625918984216845511677728039
Found prime factor of 46 digits: 1678599288094971443625918984216845511677728039
Prime cofactor 1895034512876200217710798491058597677401407449037888614621717659252955668227719717028723212883111967685129399680270203385725069090122575381497483676107712025103915924154365066519940479 has 184 digits

GMP-ECM

45302943188223550331107094600586464982687095271382664172454950995118294144360481831324558488290055817642309817744142337494872558226840269637509942990651824333988047543372031<173>

8996543299982767184664821741730782876663726951109489199079564922097537734797108941803768918083305456720291133209662540927936421048363389390667923648491114963152186033310018347879856866263216048819552149540289308558627051465296151<229>

4207749555447638156865587361496350813861928533556129702271626317099428020003105811116444635666937561053907916690272869282062129598202451814298734559607363431181895030165002044024877<181>

206252008807125919525608817081507624329021541<45>
258936573997996511524215103872442014167816731970769051551<57>
78787677428792039547681042802503121083120257796085420957892717564103580137806647<80>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 4207749555447638156865587361496350813861928533556129702271626317099428020003105811116444635666937561053907916690272869282062129598202451814298734559607363431181895030165002044024877 (181 digits)
Using B1=36490000, B2=192389627446, polynomial Dickson(12), sigma=1:203654520
Step 1 took 104040ms
Step 2 took 34413ms
********** Factor found in step 2: 206252008807125919525608817081507624329021541
Found prime factor of 45 digits: 206252008807125919525608817081507624329021541
Composite cofactor 20401011266670689475186596240708847017454234987834534527827431667762231319569379114093147409070286385414306752705050543513037585613459497 has 137 digits

CADO

STA:Wed 08 Dec 2021 00:02:37 AEDT (20,401,011,266,670,689,475,186,596,240,708,847,017,454,234,987,834,534,527,827,431,667,762,231,319,569,379,114,093,147,409,070,286,385,414,306,752,705,050,543,513,037,585,613,459,497 - C137)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 20401011266670689475186596240708847017454234987834534527827431667762231319569379114093147409070286385414306752705050543513037585613459497 2>&1 | tee -a log114

Debug:root: Looking for parameter file for c137 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.c135
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c135
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.zem_s46w
Info:Database: Opened connection to database /tmp/cado.zem_s46w/c135.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 2040101126667068947518659624070884701745423498783453452782743166776223131956937911409
3147409070286385414306752705050543513037585613459497
Debug:root: Root parameter dictionary:
N = 20401011266670689475186596240708847017454234987834534527827431667762231319569379114093147409070286385414306752705050543513037585613459497
lim0 = 3341873
lim1 = 16407032
lpb0 = 27
lpb1 = 28
name = c135
...
n: 20401011266670689475186596240708847017454234987834534527827431667762231319569379114093147409070286385414306752705050543513037585613459497
skew: 178762.753
c0: 4756908728397844948772216185856
c1: -51690363289617943839185512
c2: 1096488842014330055394
c3: 10237279362468121
c4: -27204079586
c5: 19140
Y0: -261462269690182412642880285
Y1: 24353930409164909527
# MurphyE (Bf=1.64e+07,Bg=3.34e+06,area=5.51e+14) = 3.01e-10
# f(x) = 19140*x^5-27204079586*x^4+10237279362468121*x^3+1096488842014330055394*x^2-51690363289617943839185512*x+4756908728397844948772216185856
# g(x) = 24353930409164909527*x-261462269690182412642880285
...
Info:Square Root: finished
Info:Square Root: Factors: 258936573997996511524215103872442014167816731970769051551 78787677428792039547681042802503121083120257796085420957892717564103580137806647
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1301.24/181.824
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 35600.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 36077/40.270/49.017/54.380/0.970
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 36077/38.610/44.105/49.710/1.481
Info:Polynomial Selection (size optimized): Total time: 8902.8
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3148.7
Info:Polynomial Selection (root optimized): Rootsieve time: 3147.84
Info:Generate Factor Base: Total cpu/real time for makefb: 21.31/1.97171
Info:Generate Free Relations: Total cpu/real time for freerel: 307.06/20.5643
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19117237
Info:Lattice Sieving: Average J: 3800.04 for 941479 special-q, max bucket fill: 0.74316
Info:Lattice Sieving: Total CPU time: 706522s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.07/65.1631
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 65.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 310.57/95.1726
Info:Filtering - Singleton removal: Total cpu/real time for purge: 196.66/76.2775
Info:Filtering - Merging: Total cpu/real time for merge: 624.1/517.803
Info:Filtering - Merging: Total cpu/real time for replay: 48.91/38.3881
Info:Linear Algebra: Total cpu/real time for bwc: 53366.6/0.000346661
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 2275.45
Info:Linear Algebra: Lingen CPU time 341.3, WCT time 33.41
Info:Linear Algebra: Mksol: WCT time 1241.85
Info:Quadratic Characters: Total cpu/real time for characters: 49.73/12.1189
Info:Square Root: Total cpu/real time for sqrt: 1301.24/181.824
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 774853/51393
Info:root: Cleaning up computation data in /tmp/cado.zem_s46w
258936573997996511524215103872442014167816731970769051551 78787677428792039547681042802503121083120257796085420957892717564103580137806647

END:Wed 08 Dec 2021 14:19:11 AEDT (20,401,011,266,670,689,475,186,596,240,708,847,017,454,234,987,834,534,527,827,431,667,762,231,319,569,379,114,093,147,409,070,286,385,414,306,752,705,050,543,513,037,585,613,459,497 - C137)

2934314687787029300792918577639891587199709777972500476139106950164378436689262006982321923319588285440728933008392755703562113306672543724513337986413068098427313643449708484254473779748099056045296540143<205>

98611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<239>

3624490222065880774287444025103117748213531206135249905285775167429864896405552763286275388243171307300520601567402171493056438205494250735394438935458891960716033633458403513534814296919259638393086506154726032811<214>

45069765616203909823219882067705436951101190636063319444524435180523651465248705935279598139686177729283028341478264366061213076399580131678066301913631131629560120784855759893656745218415924429133745620575930647778189<218>

58006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183<242>

139123191803724473693315489365122449816271281435455236531526842065173794462265907734155521932392434574280306996248330349803293175895940951742397993753145566669250543967871153277414485316476643<192>

62908063718793462415433903078402031397059616194229931911552844921390575912194822808305416620806687462044613266525938268345187040366087735043071415614820520813276420712673862766978254302770928924856705891653<206>

823688039190237852949418091639488050383631378521535914807007939145343378168243894099786724206917449506174671818966576354312261608957256082779116839213777770472982114913721971313<177>

67771761418552383239851232919919103<35>
12153853197103932886652917418004848733279102747357585139980574438725081745591867831197891655203889731362368836995768678624626449890170157405071<143>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1817183372
Step 1 took 7445ms
Step 2 took 3569ms
********** Factor found in step 2: 67771761418552383239851232919919103
Found prime factor of 35 digits: 67771761418552383239851232919919103
Prime cofactor 12153853197103932886652917418004848733279102747357585139980574438725081745591867831197891655203889731362368836995768678624626449890170157405071 has 143 digits

84829555337069919396930674923725867419972508912308642911350224412433818160224190746742155400582734418430406094728805304371482549049142192722755228885705378964763375868178326339163760386906995542582959826177806256449123636944119<227>

25430967200060283101056476854506740091080851629646001851909625904961246899351078253909280114723460879948875510490325293843864759268907897605708034081327926837544719880494695301051312486271153294737345445795853886372960855030619031<230>

1365380095295793518851741447692833150347389676549070876174196366300543170418211802458146623985582921974479490157113442867487276632432785619450024215879180128566034927269070605067214549895118200814280758056518109907<214>

160052768980578921827752043633830490446404011<45>

8530812081492142676764046826245453919403294215470290392731698684635129665559049467832764043988678573409345200063391377393734436711473461471818242288638399814441783196537<169>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1365380095295793518851741447692833150347389676549070876174196366300543170418211802458146623985582921974479490157113442867487276632432785619450024215879180128566034927269070605067214549895118200814280758056518109907 (214 digits)
Using B1=38170000, B2=192391699516, polynomial Dickson(12), sigma=1:2965390492
Step 1 took 146615ms
Step 2 took 43763ms
********** Factor found in step 2: 160052768980578921827752043633830490446404011
Found prime factor of 45 digits: 160052768980578921827752043633830490446404011
Composite cofactor 8530812081492142676764046826245453919403294215470290392731698684635129665559049467832764043988678573409345200063391377393734436711473461471818242288638399814441783196537 has 169 digits

8530812081492142676764046826245453919403294215470290392731698684635129665559049467832764043988678573409345200063391377393734436711473461471818242288638399814441783196537<169>

317318117833232718723605757131390988943184736713749474252667<60>
26884100220131555740657387754209149262368869108532682511788592305151520809730665106693451621431122887186451611<110>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1882648620
Step 1 took 26172ms
Step 2 took 12094ms
********** Factor found in step 2: 317318117833232718723605757131390988943184736713749474252667
Found prime factor of 60 digits: 317318117833232718723605757131390988943184736713749474252667
Prime cofactor 26884100220131555740657387754209149262368869108532682511788592305151520809730665106693451621431122887186451611 has 110 digits
 

GMP-ECM

98611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<251>

45665520439188586557536940223878175429618091372762105649056317357673583820317857693526689599908273973455431297230347174322897813514043974962329678711432485788419270422426158802624571310078396649002627213325617<209>

373919533539178505168015320107445123530709419828262597<54>

122126597685231250479654280610316103211658581701329038760745825921898356229771963925361214511788102137677617834991635952776661106369871602760007557270817661<156>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3256453307
Step 1 took 6063ms
********** Factor found in step 2: 373919533539178505168015320107445123530709419828262597
Found prime factor of 54 digits: 373919533539178505168015320107445123530709419828262597
Composite cofactor 122126597685231250479654280610316103211658581701329038760745825921898356229771963925361214511788102137677617834991635952776661106369871602760007557270817661 has 156 digits

GMP-ECM

263666446134565674948980839761914932957287642977438206292407609858674695745186780909371639246202972189000992731650424828439225090642805218710901144087479886297996922592192740570223565052407991677397593935390098577174751373607858618385504961039413<246>

5721983924534700588710527818406069123411281645346591024423587860623403412705272732014198052610832510073204844986762796987182202094098133317802252406955920854517762571995601633187126084339685054146379607511735538703425703538187997985260268561<241>

87165019284658596385682644390108347422297<41>

65645415689614760473466090862601517398811897721456260240451306827005955772908976483821223897762182485978914062185878369127636783833708495266463228421284554318729712959305398091482006541601330642517113<200>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:393786819
Step 1 took 11484ms
Step 2 took 4734ms
********** Factor found in step 2: 87165019284658596385682644390108347422297
Found prime factor of 41 digits: 87165019284658596385682644390108347422297
Composite cofactor 65645415689614760473466090862601517398811897721456260240451306827005955772908976483821223897762182485978914062185878369127636783833708495266463228421284554318729712959305398091482006541601330642517113 has 200 digits
 

GMP-ECM

8822313779005239888637345887751879218009382978821950485252577662720366893869825053607822772622675706122724360476679349966948641888434094918432509196982526225033298121806940890879643858622671227384178982397<205>

20429138796064796873825576583231418011321521141070160497411259956083683953142997186839129346226404733602241029198293469954036871394079871068872531994451596797432284434655472273895479443036003795034837825939<206>

228169381957197783185401856353058014537<39>
36455604191929383005162414947865233881701<41>
2456000170772692498630426452908905320592985508422519569292316912048791027019534913855789298739938314291317829256301198513217247<127>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1043685924
Step 1 took 9750ms
Step 2 took 3532ms
********** Factor found in step 2: 228169381957197783185401856353058014537
Found probable prime factor of 39 digits: 228169381957197783185401856353058014537
Composite cofactor 89534970121000249180817765622794309430296144428221313822359169953375856048246709470659421940133634432680636186068889267219891025276386211137386520974200437575710897147 has 167 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3017687634
Step 1 took 10102ms
Step 2 took 3423ms
********** Factor found in step 2: 36455604191929383005162414947865233881701
Found probable prime factor of 41 digits: 36455604191929383005162414947865233881701
Probable prime cofactor 2456000170772692498630426452908905320592985508422519569292316912048791027019534913855789298739938314291317829256301198513217247 has 127 digits

2236451608691190427614798980543724279855455670009341101700506416062852465282775581632568745637296613757114394573311777935535779406285906623764314855087443829099150070125963371786434464317012529421827203816250105958911234975912578559<232>

117823482377468462278626375164882479735813217190451990583094940554752987943974360223254052216060049790500016211691565631040896342647905265638661792637885954906200020563634856400128847412687199565996208839650120876462746368197226793<231>

110784796522143200159359180754594389828047345069476887812437360702511229457082812229632465916477033865261012736246495383297300230736795947848370354302950612490274964836962977890391<180>

2976791251997683708956738940516619016956707<43>

37216179148536883587222170371086718512956840582097102925738679684527883006664133719283311703081900701203562576004280423814887694742647613<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:433556576
Step 1 took 8516ms
Step 2 took 4140ms
********** Factor found in step 2: 2976791251997683708956738940516619016956707
Found prime factor of 43 digits: 2976791251997683708956738940516619016956707
Composite cofactor 37216179148536883587222170371086718512956840582097102925738679684527883006664133719283311703081900701203562576004280423814887694742647613 has 137 digits
 

GMP-ECM

37216179148536883587222170371086718512956840582097102925738679684527883006664133719283311703081900701203562576004280423814887694742647613<137>

36379364085352797363522504898045407794756536319209211<53>
1023002465387266293512962054572405731555823313112508091988008339816656466814085542183<85>

37216179148536883587222170371086718512956840582097102925738679684527883006664133719283311703081900701203562576004280423814887694742647613=36379364085352797363522504898045407794756536319209211*1023002465387266293512962054572405731555823313112508091988008339816656466814085542183

cado polynomial
n: 37216179148536883587222170371086718512956840582097102925738679684527883006664133719283311703081900701203562576004280423814887694742647613
skew: 592980.412
c0: 1151862808137885914334603738413184
c1: -2451754117007331005980664252
c2: -39837104044557157004732
c3: 19685951641301113
c4: 53190017034
c5: 10800
Y0: -400270762156957784807011977
Y1: 499075391352575587
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.013e-07
# f(x) = 10800*x^5+53190017034*x^4+19685951641301113*x^3-39837104044557157004732*x^2-2451754117007331005980664252*x+1151862808137885914334603738413184
# g(x) = 499075391352575587*x-400270762156957784807011977

cado parameters (extracts)
tasks.lim0 = 9457107
tasks.lim1 = 12662444
tasks.lpb0 = 28
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 36379364085352797363522504898045407794756536319209211 1023002465387266293512962054572405731555823313112508091988008339816656466814085542183
Info:Square Root: Total cpu/real time for sqrt: 995.76/264.72
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17592836
Info:Lattice Sieving: Average J: 3825.84 for 868750 special-q, max bucket fill -bkmult 1.0,1s:1.187440
Info:Lattice Sieving: Total time: 287904s
Info:Generate Free Relations: Total cpu/real time for freerel: 248.05/63.0301
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 79.45/90.2921
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 89.8s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7613.66
Info:Polynomial Selection (root optimized): Rootsieve time: 7611.24
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 285.95/266.814
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 226.89999999999998s
Info:Filtering - Merging: Merged matrix has 1515724 rows and total weight 258933380 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 408.69/113.133
Info:Filtering - Merging: Total cpu/real time for replay: 56.9/48.0346
Info:Linear Algebra: Total cpu/real time for bwc: 36496.6/9369.31
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 23306.12, WCT time 5954.4, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47616 iterations)
Info:Linear Algebra: Lingen CPU time 295.24, WCT time 75.13
Info:Linear Algebra: Mksol: CPU time 12626.53,  WCT time 3239.91, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23808 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 51.08/21.0686
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54138/40.700/49.088/55.160/0.943
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 43869/40.140/44.020/49.760/1.213
Info:Polynomial Selection (size optimized): Total time: 11057.1
Info:Square Root: Total cpu/real time for sqrt: 995.76/264.72
Info:Generate Factor Base: Total cpu/real time for makefb: 15.21/4.03868
Info:Filtering - Singleton removal: Total cpu/real time for purge: 181.59/207.659
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 596432/159676
Info:root: Cleaning up computation data in /tmp/cado.8pwpt3kw
36379364085352797363522504898045407794756536319209211 1023002465387266293512962054572405731555823313112508091988008339816656466814085542183

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

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60004109302314661151461582601987126240964136840195577448572288070754757694235564453950623905266191827216908056147002319549954680838835684882301039201763692856686947542363482514580775784216798090014367531643551098139463877<221>

8592451652874679402996535163795006327715365674592443307168865434038710527896884203758492550258214445757807630374538005797959867635570774433424483320791891052578957062979306579977578329713969087065857977141248442918230122397638480857573<235>

1426990841899246242638694173999724177230257835170856472479114927303615396961315936588521976104184792622519986811785219810420567519601585657350660348206549078011092635634416902295326735291560567023238511494773511543911960073595350722792600387<241>

195218732289574180805492505290713996758526103895540947564886864992815810423450555755760376165627323250704407177302093831105792067343255308920370204987532128830787715782594826969688195240366433676034657162610795970110698525649730578660349036875083027272463<255>

985295843935902435554052702354082449922936777681672359792418242470611702730758522124026114793578961927466313647378426991707935160500769011896756667134658089816477459513363270128468517081031999166240063962527594285061957948001583492700159433483978893639<252>

36983202861658171757244761202544784652643<41>

26641712120542009242060667365368058548407878585118439432192548463644059323612197514801556609339149342676337779865165534386005169993090293841947616927497531475927711928618270455234239562042719914120885440959104973<212>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1114908238
Step 1 took 18670ms
Step 2 took 6813ms
********** Factor found in step 2: 36983202861658171757244761202544784652643
Found prime factor of 41 digits: 36983202861658171757244761202544784652643
Composite cofactor 26641712120542009242060667365368058548407878585118439432192548463644059323612197514801556609339149342676337779865165534386005169993090293841947616927497531475927711928618270455234239562042719914120885440959104973 has 212 digits

159741129595724509816308688586569263804773434303212531853629820356063544594999823652721056871947273549358408527099081039887721982379856046532696954449853854572041034921507702528155620502255767640536294395179094832561582887248493328094517290927466220568517638504473<264>

2887239731857045193624492669942584165606040163878278509428357667652439407444574965204095004955006526191207308190781472285269977356730103322307353096070138519796514185524956537531493673857556311492116832209<205>

37191250100299603388493441377579467<35>
77632231346635651649061774106019783793012101029962431084692780832921661107800797589971311820649924836629474094376734952849218103729624345386950853766127461615610898239827<170>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1077122810
Step 1 took 7988ms
Step 2 took 3397ms
********** Factor found in step 2: 37191250100299603388493441377579467
Found prime factor of 35 digits: 37191250100299603388493441377579467
Prime cofactor 77632231346635651649061774106019783793012101029962431084692780832921661107800797589971311820649924836629474094376734952849218103729624345386950853766127461615610898239827 has 170 digits
(END)

10321207035337428055787252381064299711962265925173776806770566708653114095966160012505843217008656196594866207690242735824782313939119844681491088894340147307257838029575782051226656324718418157075199363947622463945963912552780040615377809<239>

8035716774789517590058609486865024681070470879087471514899076823386505415746968080283570380685172343777342217946269118344515528422483982051576965068362548776527662313940264679097071524531544427285147130599083668708791093238256603170829<235>

266863435936279371817843973314512770508328638294020469205040079128905553096521221158827352136027368079375420825650817216648108582613762470863528556088950182323862864047829947642544273429295452108623997796449190598109<216>

765889392357331778587246458542104712767934490693259800713973874611460518612014984431359466944726360927404855946482980712021676953413533861780176980911758960216545102441480786035770423462116864529505078463802950597579851393944112151577<234>

62040371121254166814707884863393260238954963370143598595223479669801769208992158231908428918076512149831733185461349334181502154244260029510547014858510378603295743868139621224520342716567992493843768839081396118994896013861494513058409368139619076550620446146949<263>

129771188498232346103928312403918398741198991908074001710546565765464018008315515954565618134142768714570405710512602470283829496576734782973915891184234292169221041964282320603119233160248015729700936720673237769551890447164514926904374143431437893112321341768466001<267>

58643449710476204824047130641839600413217917475672353194582121885088134177233557554437728306778556354892576770665244912469995549607718517255035500511755839359932161179936252500950798282088179015711020585725693339030381429327258743735058370780096371<248>

1245592681828358797939494470751373098158806545370687536154431025941488792790029027772871560451899867530018412088015837436923699286483122326572796244135720442685012830194628480729019020284582229072536754040439763357384634488228210411655545368974121<247>

40435644821210520944657552295250103588378082003258542442179888955688215065002657140037176721577678195969615560903812067513178886271893664923501260634901302805925658848313585315805598569500891981547128926768450766551403200709160686452358805962133371989065274483949737405499851389<278>

3888042282099914164294479402124678737371926344898136191249408667874529781947078260948906062406046932454712896046298465214069968341613365759931726458536806064402518258530643005874130205720951<190>

113349101310852023801906385009156691626458068559411468476880550992855111239850146740788677299642532056722316924598134331265207138937134097925705060146545381212504596226234844267275009696935793832608346095484261205883731536708569434721965191161503247914727758447764838738393211672390317343<288>

5549021777800286485834207108875246110839130888762590027016702086619761020044629766140775712603813600386649585058219398629844921253910106472441525815299794107845472717257488991053413789459797259064600617363842636620042378895335132779494066767080514273959738173705952490369711782245756326979<289>

182605912449713297757525022069639<33>
30387963365251916206918371936284360916636929944701201704383261457786916500774819412091634152524327739996355692746177213236400018582734965036536534377281550821474473191896516728639318500384999129858498687590022129126955721427428446406960521542193111633961061<257>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:945553771
Step 1 took 17637ms
Step 2 took 5190ms
********** Factor found in step 2: 182605912449713297757525022069639
Found prime factor of 33 digits: 182605912449713297757525022069639
Prime cofactor 30387963365251916206918371936284360916636929944701201704383261457786916500774819412091634152524327739996355692746177213236400018582734965036536534377281550821474473191896516728639318500384999129858498687590022129126955721427428446406960521542193111633961061 has 257 digits

2932195045314218992076680432706574251116615939445128006001880378211448032186773723873086114260099929453888996450265519102580255866613480919023828489804145734487848166767743609348009177660285591151925551707656955305199006792999000337412585312073724453719<253>

34601445376036607148281332519409774413<38>

84741981540023307429618250418881500659890962063289566345285832663631609325357400045640178925086629756271299068591913735627803394798752568976526674711510089870003656787487435043316177736719909179125500272336268038963<215>