131492439184746877054569362261669953977646285338593030900723208415516107823800131492439184746877054569362261669953977646285338593<129>

10913447800807643170179672219935114518265454488767597<53>
12048661576501594466095454016311985830244001439235189187386281126936675715269<77>

N=131492439184746877054569362261669953977646285338593030900723208415516107823800131492439184746877054569362261669953977646285338593
  ( 129 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=10913447800807643170179672219935114518265454488767597 (pp53)
 r2=12048661576501594466095454016311985830244001439235189187386281126936675715269 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.07 hours.
Scaled time: 16.26 units (timescale=7.862).
Factorization parameters were as follows:
n: 131492439184746877054569362261669953977646285338593030900723208415516107823800131492439184746877054569362261669953977646285338593
m: 1000000000000000000000000000000000
deg: 4
c4: 1
c0: -235
skew: 3.92
# Murphy_E = 1.335e-08
type: snfs
lss: 1
rlim: 1110000
alim: 1110000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1110000/1110000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [555000, 1055001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 134104 x 134329
Total sieving time: 2.05 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,132.000,4,0,0,0,0,0,0,0,0,1110000,1110000,26,26,47,47,2.3,2.3,100000
total time: 2.07 hours.

GNFS, Msieve

740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740739<138>

843779308120673021439143948078318815363471<42>
77531966636214411524669627971613115175007870459<47>
11322871020520562847427955374040163346697475572951<50>

N=740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740739
  ( 138 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=843779308120673021439143948078318815363471 (pp42)
 r2=77531966636214411524669627971613115175007870459 (pp47)
 r3=11322871020520562847427955374040163346697475572951 (pp50)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.17 hours.
Scaled time: 40.87 units (timescale=7.899).
Factorization parameters were as follows:
n: 740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740739
m: 100000000000000000000000000000000000
deg: 4
c4: 1
c0: -235
skew: 3.92
# Murphy_E = 5.365e-09
type: snfs
lss: 1
rlim: 1510000
alim: 1510000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1510000/1510000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [755000, 1255001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 167432 x 167656
Total sieving time: 5.15 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,140.000,4,0,0,0,0,0,0,0,0,1510000,1510000,26,26,48,48,2.3,2.3,100000
total time: 5.17 hours.

GNFS, Msieve

20478613671980658037372344995104409058445738797296934722212918300812790773449284479971591211171433<98>

182439590044376925474770658583169217181<39>
112248737606784822164744880056234527542969879199772444965693<60>

prp39 = 182439590044376925474770658583169217181
prp60 = 112248737606784822164744880056234527542969879199772444965693

Yafu

203846841861805460704342891248264810031613247949226809446837942370844673202792456373757899156605510362175049150834196241049<123>

898585946291411647411340232717856500976013<42>
226852915631620482566579769361280413569646172875442144530728285654899986994291773<81>

N=203846841861805460704342891248264810031613247949226809446837942370844673202792456373757899156605510362175049150834196241049
  ( 123 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=898585946291411647411340232717856500976013 (pp42)
 r2=226852915631620482566579769361280413569646172875442144530728285654899986994291773 (pp81)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.97 hours.
Scaled time: 46.35 units (timescale=7.770).
Factorization parameters were as follows:
n: 203846841861805460704342891248264810031613247949226809446837942370844673202792456373757899156605510362175049150834196241049
m: 1000000000000000000000000000000000000
deg: 4
c4: 1
c0: -235
skew: 3.92
# Murphy_E = 3.378e-09
type: snfs
lss: 1
rlim: 1760000
alim: 1760000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1760000/1760000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [880000, 1480001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 251044 x 251268
Total sieving time: 5.92 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,144.000,4,0,0,0,0,0,0,0,0,1760000,1760000,26,26,49,49,2.3,2.3,100000
total time: 5.97 hours.

GNFS, Msieve

8498342341140948856884326479962813876909498933250000532525035455531800018363882460611300097506207026607760962859560870958198139<127>

150213323616399353586006142902739332894104474982661934787959<60>
56575156827254655431180592879155466034533892941272861553045692789021<68>

N=8498342341140948856884326479962813876909498933250000532525035455531800018363882460611300097506207026607760962859560870958198139
  ( 127 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=150213323616399353586006142902739332894104474982661934787959 (pp60)
 r2=56575156827254655431180592879155466034533892941272861553045692789021 (pp68)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.77 hours.
Scaled time: 53.38 units (timescale=7.886).
Factorization parameters were as follows:
n: 8498342341140948856884326479962813876909498933250000532525035455531800018363882460611300097506207026607760962859560870958198139
m: 1000000000000000000000000000000000000
deg: 4
c4: 2
c0: -47
skew: 2.20
# Murphy_E = 2.957e-09
type: snfs
lss: 1
rlim: 1780000
alim: 1780000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1780000/1780000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [890000, 1590001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 278851 x 279077
Total sieving time: 6.72 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,144.000,4,0,0,0,0,0,0,0,0,1780000,1780000,26,26,49,49,2.3,2.3,100000
total time: 6.77 hours.

GNFS, Mssieve

104585376612109455382663379758076510941383005874818509725394983199434868536239432949793477733777740548731<105>

9239400095945862444932138600398148671028296783<46>
11319498617448145776498913910510991564403754672820012148757<59>

N=104585376612109455382663379758076510941383005874818509725394983199434868536239432949793477733777740548731
  ( 105 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=9239400095945862444932138600398148671028296783 (pp46)
 r2=11319498617448145776498913910510991564403754672820012148757 (pp59)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.63 hours.
Scaled time: 68.15 units (timescale=7.899).
Factorization parameters were as follows:
n: 104585376612109455382663379758076510941383005874818509725394983199434868536239432949793477733777740548731
m: 1000000000000000000000000000000000000
deg: 4
c4: 200
c0: -47
skew: 0.70
# Murphy_E = 2.041e-09
type: snfs
lss: 1
rlim: 1920000
alim: 1920000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1920000/1920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [960000, 1860001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 310728 x 310953
Total sieving time: 8.58 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146.000,4,0,0,0,0,0,0,0,0,1920000,1920000,26,26,49,49,2.3,2.3,100000
total time: 8.63 hours.

GNFS, Msieve

472128139752580620035475789430539952704527007287199613865204136898929104151494324425467748649181175051<102>

7019174080729990685995182728743782179598913968203<49>
67262634367301448011935650950926237872247624215025217<53>

prp53 = 67262634367301448011935650950926237872247624215025217
prp49 = 7019174080729990685995182728743782179598913968203

Yafu

793905507282453859405921296642857142270051982593331084146040014261504421801425166367954055192508573184556438568151<114>

401184047674959852705336238542925326709<39>
1978905970672287916082673672510660026996798773474769903018462602073348208539<76>

N=793905507282453859405921296642857142270051982593331084146040014261504421801425166367954055192508573184556438568151
  ( 114 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=401184047674959852705336238542925326709 (pp39)
 r2=1978905970672287916082673672510660026996798773474769903018462602073348208539 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 12.15 hours.
Scaled time: 95.80 units (timescale=7.886).
Factorization parameters were as follows:
n: 793905507282453859405921296642857142270051982593331084146040014261504421801425166367954055192508573184556438568151
m: 100000000000000000000000000000000000000
deg: 4
c4: 1
c0: -235
skew: 3.92
# Murphy_E = 1.321e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 424878 x 425104
Total sieving time: 12.07 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,152.000,4,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 12.15 hours.

GNFS, Msieve

494156598225977812368739653596224643589553529513502829046524843722975811034516838386084550193956464803696291354730314036518172608899760334049860400761<150>

157313048263203743141627460248853780259<39>
3141230836740218129056960220674617603573822901377691221576761767626316325748989316855020956282458294876079481779<112>

N=494156598225977812368739653596224643589553529513502829046524843722975811034516838386084550193956464803696291354730314036518172608899760334049860400761
  ( 150 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=157313048263203743141627460248853780259 (pp39)
 r2=3141230836740218129056960220674617603573822901377691221576761767626316325748989316855020956282458294876079481779 (pp112)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.10 hours.
Scaled time: 86.96 units (timescale=7.837).
Factorization parameters were as follows:
n: 494156598225977812368739653596224643589553529513502829046524843722975811034516838386084550193956464803696291354730314036518172608899760334049860400761
m: 10000000000000000000000000000000
deg: 5
c5: 1
c0: -235
skew: 2.98
# Murphy_E = 9.068e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 490483 x 490708
Total sieving time: 10.99 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 11.10 hours.

GNFS, Msieve

7377982551928432061956921973248832700132937644754484731567305600399486209294486966796568656879281710143199269064626424359092530564422662158101113<145>

54424386460344906477397158813299775255892361552453198003<56>
135563908603806338467966860368906210264167276891305370157400702230624825771580627883214371<90>

N=7377982551928432061956921973248832700132937644754484731567305600399486209294486966796568656879281710143199269064626424359092530564422662158101113
  ( 145 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=54424386460344906477397158813299775255892361552453198003 (pp56)
 r2=135563908603806338467966860368906210264167276891305370157400702230624825771580627883214371 (pp90)
Version: Msieve v. 1.52 (SVN 927)
Total time: 12.29 hours.
Scaled time: 96.75 units (timescale=7.874).
Factorization parameters were as follows:
n: 7377982551928432061956921973248832700132937644754484731567305600399486209294486966796568656879281710143199269064626424359092530564422662158101113
m: 10000000000000000000000000000000
deg: 5
c5: 200
c0: -47
skew: 0.75
# Murphy_E = 7.239e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 500776 x 501001
Total sieving time: 12.19 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 12.29 hours.

GNFS, Msieve

1356646310239320379631355640517708194270422718294014070892807733965147543124491598659517682994636055318754950088547<115>

1725081561826599373449977600039856852754341583<46>
786424445231933254625340806241688743740044318259918948935672261432109<69>

CADO

STA:Sun 02 Jan 2022 09:55:46 AEDT (1,356,646,310,239,320,379,631,355,640,517,708,194,270,422,718,294,014,070,892,807,733,965,147,543,124,491,598,659,517,682,994,636,055,318,754,950,088,547 - C115)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1356646310239320379631355640517708194270422718294014070892807733965147543124491598659517682994636055318754950088547 2>&1 | tee -a log146

Debug:root: Looking for parameter file for c115 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.w79nshga
Info:Database: Opened connection to database /tmp/cado.w79nshga/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 1356646310239320379631355640517708194270422718294014070892807733965147543124491598659
517682994636055318754950088547
Debug:root: Root parameter dictionary:
N = 1356646310239320379631355640517708194270422718294014070892807733965147543124491598659517682994636055318754950088547
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 1356646310239320379631355640517708194270422718294014070892807733965147543124491598659517682994636055318754950088547
skew: 3000720.879
c0: -901420611299325379173575790610
c1: -1487777558462591129241591
c2: 471693742916009097
c3: -316219142300
c4: -21840
Y0: -3335215258996183706839911723
Y1: 929673556417748789
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 2.24e-09
# f(x) = -21840*x^4-316219142300*x^3+471693742916009097*x^2-1487777558462591129241591*x-901420611299325379173575790610
# g(x) = 929673556417748789*x-3335215258996183706839911723
...
Info:Square Root: finished
Info:Square Root: Factors: 1725081561826599373449977600039856852754341583 786424445231933254625340806241688743740044318259918948935672261432109
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 293.67/43.206
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): 56179/38.270/43.594/50.510/0.636
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56179/37.740/42.797/44.420/1.007
Info:Polynomial Selection (size optimized): Total time: 1116.38
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 149.75
Info:Polynomial Selection (root optimized): Rootsieve time: 149.11
Info:Generate Factor Base: Total cpu/real time for makefb: 2.64/0.282396
Info:Generate Free Relations: Total cpu/real time for freerel: 53.34/3.50695
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6786031
Info:Lattice Sieving: Average J: 4071.82 for 77055 special-q, max bucket fill: 0.71092
Info:Lattice Sieving: Total CPU time: 63879.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.56/18.973
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 89.58/28.3194
Info:Filtering - Singleton removal: Total cpu/real time for purge: 73.91/29.4459
Info:Filtering - Merging: Total cpu/real time for merge: 145.33/115.331
Info:Filtering - Merging: Total cpu/real time for replay: 15.28/11.8162
Info:Linear Algebra: Total cpu/real time for bwc: 4253.86/0.000324726
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 177.67
Info:Linear Algebra: Lingen CPU time 95.1, WCT time 9.64
Info:Linear Algebra: Mksol: WCT time 105.23
Info:Quadratic Characters: Total cpu/real time for characters: 15.27/3.67797
Info:Square Root: Total cpu/real time for sqrt: 293.67/43.206
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 70104.8/4943.07
Info:root: Cleaning up computation data in /tmp/cado.w79nshga
1725081561826599373449977600039856852754341583 786424445231933254625340806241688743740044318259918948935672261432109

END:Sun 02 Jan 2022 11:18:10 AEDT (1,356,646,310,239,320,379,631,355,640,517,708,194,270,422,718,294,014,070,892,807,733,965,147,543,124,491,598,659,517,682,994,636,055,318,754,950,088,547 - C115)

78207341149329936906662868942581145643521419432629630036319534707317701034812547561392974147787538892218600262996658037887772665810098831007304144247<149>

11126723346175541060114139302770390609<38>
209857237667342336876710596979355587233602509931<48>
33493171969061113310459456230029095820005794238749644896095551893<65>

N=78207341149329936906662868942581145643521419432629630036319534707317701034812547561392974147787538892218600262996658037887772665810098831007304144247
  ( 149 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=11126723346175541060114139302770390609 (pp38)
 r2=209857237667342336876710596979355587233602509931 (pp48)
 r3=33493171969061113310459456230029095820005794238749644896095551893 (pp65)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.29 hours.
Scaled time: 105.00 units (timescale=7.899).
Factorization parameters were as follows:
n: 78207341149329936906662868942581145643521419432629630036319534707317701034812547561392974147787538892218600262996658037887772665810098831007304144247
m: 100000000000000000000000000000000
deg: 5
c5: 2
c0: -47
skew: 1.88
# Murphy_E = 6.831e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 601911 x 602138
Total sieving time: 13.18 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 13.29 hours.

GMP-ECM

601245837285542446215398296938073561261264355560764873257936588882877838689369564824192341534933154796481619953005853139235405620247511844115459931<147>

21233571862018408792984738480226813439735895796550753133397<59>
28315812393345938053597103243589406765393229939794748812137451239381780646910209424189423<89>

N=601245837285542446215398296938073561261264355560764873257936588882877838689369564824192341534933154796481619953005853139235405620247511844115459931
  ( 147 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=21233571862018408792984738480226813439735895796550753133397 (pp59)
 r2=28315812393345938053597103243589406765393229939794748812137451239381780646910209424189423 (pp89)
Version: Msieve v. 1.52 (SVN 927)
Total time: 17.66 hours.
Scaled time: 139.39 units (timescale=7.893).
Factorization parameters were as follows:
n: 601245837285542446215398296938073561261264355560764873257936588882877838689369564824192341534933154796481619953005853139235405620247511844115459931
m: 100000000000000000000000000000000
deg: 5
c5: 200
c0: -47
skew: 0.75
# Murphy_E = 4.637e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 646628 x 646853
Total sieving time: 17.53 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 17.66 hours.

GNFS, Msieve

242344817434890612549321831042757134474107468078295158145584140100629590516287541519475752983685110357073907498554530443700828171271857488676252756111<150>

6271062844023109113061337922474508378896823<43>
38644935230694932957974933782578930268761481922390265788273218029509746630948989240193061524667638085396457<107>

N=242344817434890612549321831042757134474107468078295158145584140100629590516287541519475752983685110357073907498554530443700828171271857488676252756111
  ( 150 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=6271062844023109113061337922474508378896823 (pp43)
 r2=38644935230694932957974933782578930268761481922390265788273218029509746630948989240193061524667638085396457 (pp107)
Version: Msieve v. 1.52 (SVN 927)
Total time: 19.40 hours.
Scaled time: 152.19 units (timescale=7.843).
Factorization parameters were as follows:
n: 242344817434890612549321831042757134474107468078295158145584140100629590516287541519475752983685110357073907498554530443700828171271857488676252756111
m: 1000000000000000000000000000000000
deg: 5
c5: 2
c0: -47
skew: 1.88
# Murphy_E = 4.358e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 3500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 671949 x 672174
Total sieving time: 19.22 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 19.40 hours.

GNFS, Msieve

8636340309304691917347021271506912178025532559022755007190968450156922381480858922532660989271096055823470826875250849<118>

7526579023338310353789548029997915505439336081129<49>
1147445643302920142051225604347081396814092844001128396725432945938681<70>

CADO

STA:Mon 03 Jan 2022 10:48:57 AEDT (8,636,340,309,304,691,917,347,021,271,506,912,178,025,532,559,022,755,007,190,968,450,156,922,381,480,858,922,532,660,989,271,096,055,823,470,826,875,250,849 - C118)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 8636340309304691917347021271506912178025532559022755007190968450156922381480858922532660989271096055823470826875250849 2>&1 | tee -a log153

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.1py1xqgq
Info:Database: Opened connection to database /tmp/cado.1py1xqgq/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 8636340309304691917347021271506912178025532559022755007190968450156922381480858922532
660989271096055823470826875250849
Debug:root: Root parameter dictionary:
N = 8636340309304691917347021271506912178025532559022755007190968450156922381480858922532660989271096055823470826875250849
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 8636340309304691917347021271506912178025532559022755007190968450156922381480858922532660989271096055823470826875250849
skew: 59611.861
c0: 8761059105416922953415224835
c1: -52427184693436286172171
c2: -5523476819873350563
c3: -8912270712880
c4: 516176167
c5: 12600
Y0: -58038740503731612031168
Y1: 59540471416340603
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 2.08e-09
# f(x) = 12600*x^5+516176167*x^4-8912270712880*x^3-5523476819873350563*x^2-52427184693436286172171*x+8761059105416922953415224835
# g(x) = 59540471416340603*x-58038740503731612031168
...
Info:Square Root: finished
Info:Square Root: Factors: 7526579023338310353789548029997915505439336081129 1147445643302920142051225604347081396814092844001128396725432945938681
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 796.66/112.995
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): 10375/33.390/42.086/47.540/1.051
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10375/33.230/37.361/42.620/1.041
Info:Polynomial Selection (size optimized): Total time: 1160.95
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 272.34
Info:Polynomial Selection (root optimized): Rootsieve time: 271.5
Info:Generate Factor Base: Total cpu/real time for makefb: 23.72/2.16192
Info:Generate Free Relations: Total cpu/real time for freerel: 148.86/9.84124
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 9923894
Info:Lattice Sieving: Average J: 8117.74 for 16598 special-q, max bucket fill: 0.607776
Info:Lattice Sieving: Total CPU time: 52430s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 24.67/32.4191
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 32.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 146.05/45.4657
Info:Filtering - Singleton removal: Total cpu/real time for purge: 61.8/31.5115
Info:Filtering - Merging: Total cpu/real time for merge: 440.77/355.471
Info:Filtering - Merging: Total cpu/real time for replay: 35.1/27.2556
Info:Linear Algebra: Total cpu/real time for bwc: 17886.6/0.000324488
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 870.27
Info:Linear Algebra: Lingen CPU time 205.06, WCT time 20.37
Info:Linear Algebra: Mksol: WCT time 522.18
Info:Quadratic Characters: Total cpu/real time for characters: 34.68/8.15469
Info:Square Root: Total cpu/real time for sqrt: 796.66/112.995
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 73462.1/5668.32
Info:root: Cleaning up computation data in /tmp/cado.1py1xqgq
7526579023338310353789548029997915505439336081129 1147445643302920142051225604347081396814092844001128396725432945938681

END:Mon 03 Jan 2022 12:23:26 AEDT (8,636,340,309,304,691,917,347,021,271,506,912,178,025,532,559,022,755,007,190,968,450,156,922,381,480,858,922,532,660,989,271,096,055,823,470,826,875,250,849 - C118)

377329387516681256719282910845958543190795211596167822152053486763712359229096609082122812892489000139964374406258690500595375162608903627295419015409<150>

140885702216926020015043569433519291278214918047437<51>
2678266009816210240186621714664315750694697756272718659336408831153871223084907758788863950673189557<100>

Number: n
N=377329387516681256719282910845958543190795211596167822152053486763712359229096609082122812892489000139964374406258690500595375162608903627295419015409  ( 150 digits)
SNFS difficulty: 168 digits.
Divisors found:

Fri Jan  7 05:10:11 2022  p51 factor: 140885702216926020015043569433519291278214918047437
Fri Jan  7 05:10:11 2022  p100 factor: 2678266009816210240186621714664315750694697756272718659336408831153871223084907758788863950673189557
Fri Jan  7 05:10:11 2022  elapsed time 00:09:41 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 2x10^168-47 = 4(166)34
#
n: 377329387516681256719282910845958543190795211596167822152053486763712359229096609082122812892489000139964374406258690500595375162608903627295419015409
m: 1000000000000000000000000000000000
deg: 5
c5: 2000
c0: -47
skew: 0.47
# Murphy_E = 2.866e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2252143 hash collisions in 19500316 relations (18005307 unique)
Msieve: matrix is 523978 x 524204 (177.2 MB)

Sieving start time : 2022/01/07 03:46:16
Sieving end time  : 2022/01/07 04:47:09

Total sieving time: 1hrs 0min 53secs.

Total relation processing time: 0hrs 3min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 30sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

12012677081337527240768654124766612708670071487470575648793393745353404015658710189024030602725302670245260545402030560707973905197391917<137>

41134357531228102307590864882966510408552303689775700173792045097<65>
292035121059513925868721049415200845943324775824383124226632870752553061<72>

Number: n
N=12012677081337527240768654124766612708670071487470575648793393745353404015658710189024030602725302670245260545402030560707973905197391917  ( 137 digits)
SNFS difficulty: 170 digits.
Divisors found:

Fri Jan  7 20:00:10 2022  p65 factor: 41134357531228102307590864882966510408552303689775700173792045097
Fri Jan  7 20:00:10 2022  p72 factor: 292035121059513925868721049415200845943324775824383124226632870752553061
Fri Jan  7 20:00:10 2022  elapsed time 00:10:44 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.293).
Factorization parameters were as follows:
#
# N = 2x10^169-47 = 4(167)34
#
n: 12012677081337527240768654124766612708670071487470575648793393745353404015658710189024030602725302670245260545402030560707973905197391917
m: 10000000000000000000000000000000000
deg: 5
c5: 1
c0: -235
skew: 2.98
# Murphy_E = 2.359e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2828752 hash collisions in 20549142 relations (18417743 unique)
Msieve: matrix is 614461 x 614688 (206.1 MB)

Sieving start time : 2022/01/07 18:49:47
Sieving end time  : 2022/01/07 19:48:45

Total sieving time: 0hrs 58min 58secs.

Total relation processing time: 0hrs 5min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 26sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

195504807526677452759704045594649206363893633907161740939389632795643971216636261032650881625725071128005331426572489985265601499133114765906954872246791332743<159>

38106500591369271401508311002635254621477<41>
5130484418476286729786028575869216282383318103384503594674469345649677456728140571717364193759778569511548074882892859<118>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3604751249
Step 1 took 7156ms
Step 2 took 3750ms
********** Factor found in step 2: 38106500591369271401508311002635254621477
Found prime factor of 41 digits: 38106500591369271401508311002635254621477
Prime cofactor 5130484418476286729786028575869216282383318103384503594674469345649677456728140571717364193759778569511548074882892859 has 118 digits
 

GNFS, Msieve

3410885071211861550882878036594763878125657719818887986971712054717403767686827184260051924644497059729585370078082399957552379174429314872123<142>

307927936380615569443332432595503455219<39>

11076893871025145579838794921720857845021704977574989477785484698066158471682728476850763951549633758617<104>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3676724413
Step 1 took 3500ms
Step 2 took 2578ms
********** Factor found in step 2: 307927936380615569443332432595503455219
Found prime factor of 39 digits: 307927936380615569443332432595503455219
Composite cofactor 11076893871025145579838794921720857845021704977574989477785484698066158471682728476850763951549633758617 has 104 digits

GMP-ECM

11076893871025145579838794921720857845021704977574989477785484698066158471682728476850763951549633758617<104>

37346255413187487015820563842570221642117260523<47>
296599853143877414483959895916642831787703177223476375179<57>

N=11076893871025145579838794921720857845021704977574989477785484698066158471682728476850763951549633758617
  ( 104 digits)
Divisors found:
p47 factor: 37346255413187487015820563842570221642117260523
p57 factor: 296599853143877414483959895916642831787703177223476375179
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.49 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 11076893871025145579838794921720857845021704977574989477785484698066158471682728476850763951549633758617
skew: 2547399.54
c0: 43788417270351166005117702070
c1: -9401347376370156125492
c2: -38961174908280115
c3: 3428942846
c4: 3216
Y0: -7660823254606948024066191
Y1: 3041137429477
rlim: 2360000
alim: 2360000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2360000/2360000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1180000, 1680001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 247738 x 247964
Total sieving time: 4.40 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,103,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2360000,2360000,26,26,52,52,2.5,2.5,100000
total time: 4.49 hours.
 --------- CPU info (if available) ----------

222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222217<174>

1564508218259259980851842305756285497312518487<46>
142039664367807764086811766083870077646621045733546802614038023954652996609844261405031884006302169221784049360345184896861877791<129>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222217 (174 digits)
Using B1=35760000, B2=192388936756, polynomial Dickson(12), sigma=1:2224492060
Step 1 took 91940ms
Step 2 took 32027ms
********** Factor found in step 2: 1564508218259259980851842305756285497312518487
Found prime factor of 46 digits: 1564508218259259980851842305756285497312518487
Prime cofactor 142039664367807764086811766083870077646621045733546802614038023954652996609844261405031884006302169221784049360345184896861877791 has 129 digits

5524576492871777065659867846605714014220812350301241344715065823947768444005793070910425345431050937423950751715311943830525881674068218022991629990384474614156672017219<169>

44002326399038806101790957650676778323974710005667458696732377182756968811841612197<83>
125551918386580051447495472992244810396293228592998943854438859675283172211849683350727<87>

Number: n
N=5524576492871777065659867846605714014220812350301241344715065823947768444005793070910425345431050937423950751715311943830525881674068218022991629990384474614156672017219  ( 169 digits)
SNFS difficulty: 175 digits.
Divisors found:

Tue Jan  4 13:53:02 2022  p83 factor: 44002326399038806101790957650676778323974710005667458696732377182756968811841612197
Tue Jan  4 13:53:02 2022  p87 factor: 125551918386580051447495472992244810396293228592998943854438859675283172211849683350727
Tue Jan  4 13:53:02 2022  elapsed time 00:17:14 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.306).
Factorization parameters were as follows:
#
# N = 2x10^175-47 = 4(173)34
#
n: 5524576492871777065659867846605714014220812350301241344715065823947768444005793070910425345431050937423950751715311943830525881674068218022991629990384474614156672017219
m: 100000000000000000000000000000000000
deg: 5
c5: 2
c0: -47
skew: 1.88
# Murphy_E = 1.749e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 22900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4403264 hash collisions in 30770840 relations (27941379 unique)
Msieve: matrix is 700888 x 701114 (235.6 MB)

Sieving start time : 2022/01/04 11:24:08
Sieving end time  : 2022/01/04 13:34:44

Total sieving time: 2hrs 10min 36secs.
Total relation processing time: 0hrs 7min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 0sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116212] 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)
[    0.153541] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798280)
[    0.152035] smpboot: Total of 16 processors activated (102386.24 BogoMIPS)

790662784498788504536007465430065612052502835989165865279125598480396900202049827018606448920955034426200446985079521646378607<126>

4405116798988881561813975984762959758002417461<46>
179487359944751404457079828435930000288018315806876232261649552563113800735389587<81>

N=790662784498788504536007465430065612052502835989165865279125598480396900202049827018606448920955034426200446985079521646378607
  ( 126 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=4405116798988881561813975984762959758002417461 (pp46)
 r2=179487359944751404457079828435930000288018315806876232261649552563113800735389587 (pp81)
Version: Msieve v. 1.52 (SVN 927)
Total time: 57.39 hours.
Scaled time: 449.80 units (timescale=7.837).
Factorization parameters were as follows:
n: 790662784498788504536007465430065612052502835989165865279125598480396900202049827018606448920955034426200446985079521646378607
m: 100000000000000000000000000000000000
deg: 5
c5: 200
c0: -47
skew: 0.75
# Murphy_E = 1.184e-10
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3150000, 7050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1339884 x 1340115
Total sieving time: 56.93 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6300000,6300000,28,28,53,53,2.5,2.5,100000
total time: 57.39 hours.

GNFS, Msieve

20748235574867030410636595002928999056503035109498133445029822987174172319056299675257871639518507729598696812061465809944688922335514944613315639307<149>

1987931082991296443595506994077870680283<40>
10437100034497458632214655869967097536210281782406906563942787832319092339895874233568919501441874251350211729<110>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2512076630
Step 1 took 5844ms
Step 2 took 3391ms
********** Factor found in step 2: 1987931082991296443595506994077870680283
Found prime factor of 40 digits: 1987931082991296443595506994077870680283
Prime cofactor 10437100034497458632214655869967097536210281782406906563942787832319092339895874233568919501441874251350211729 has 110 digits
 

GMP-ECM

4275689589825672978301101696929531537331846453384353798410445898400827148570128097605442180096825132290130491167605782686068030217113731140635873<145>

23192381661124715862284740399074936918847931<44>
184357503782917789800861487931331050561819435868659679572421651019034829264261838024637486074652529683<102>

N=4275689589825672978301101696929531537331846453384353798410445898400827148570128097605442180096825132290130491167605782686068030217113731140635873
  ( 145 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=23192381661124715862284740399074936918847931 (pp44)
 r2=184357503782917789800861487931331050561819435868659679572421651019034829264261838024637486074652529683 (pp102)
Version: Msieve v. 1.52 (SVN 927)
Total time: 75.26 hours.
Scaled time: 588.92 units (timescale=7.825).
Factorization parameters were as follows:
n: 4275689589825672978301101696929531537331846453384353798410445898400827148570128097605442180096825132290130491167605782686068030217113731140635873
m: 1000000000000000000000000000000000000
deg: 5
c5: 1
c0: -235
skew: 2.98
# Murphy_E = 9.387e-11
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 8700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1478213 x 1478439
Total sieving time: 74.76 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 75.26 hours.

GNFS, Msieve

20237668396352872571279617298855229428190320799417790493228192076302322172968539782557212188638749219289863029467628397379418917468112002937639<143>

5569905217481787425190413335472821780831289324489486867<55>
3633395471943512665011557168050784805533716485075419001807514992372391084147445385362717<88>

20237668396352872571279617298855229428190320799417790493228192076302322172968539782557212188638749219289863029467628397379418917468112002937639=5569905217481787425190413335472821780831289324489486867*3633395471943512665011557168050784805533716485075419001807514992372391084147445385362717

cado polynomial
n: 20237668396352872571279617298855229428190320799417790493228192076302322172968539782557212188638749219289863029467628397379418917468112002937639
skew: 1.88
type: snfs
c0: -47
c5: 2
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 2*x^5-47
# g(x) = -x+1000000000000000000000000000000000000


cado parameters (extracts)
tasks.lim0 = 7100000
tasks.lim1 = 7100000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3633395471943512665011557168050784805533716485075419001807514992372391084147445385362717 5569905217481787425190413335472821780831289324489486867
Info:Square Root: Total cpu/real time for sqrt: 200.3/64.5696
Info:Filtering - Singleton removal: Total cpu/real time for purge: 127.79/127.647
Info:Generate Free Relations: Total cpu/real time for freerel: 116.49/31.7736
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22419178
Info:Lattice Sieving: Average J: 1894.03 for 842740 special-q, max bucket fill -bkmult 1.0,1s:1.177230
Info:Lattice Sieving: Total time: 142072s
Info:Linear Algebra: Total cpu/real time for bwc: 14933.8/3838.64
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9455.22, WCT time 2419.1, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (30976 iterations)
Info:Linear Algebra: Lingen CPU time 176.75, WCT time 44.94
Info:Linear Algebra: Mksol: CPU time 5140.45,  WCT time 1314.44, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15616 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 87.89/102.483
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 102.4s
Info:Filtering - Merging: Merged matrix has 986063 rows and total weight 168186560 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 235.22/65.3647
Info:Filtering - Merging: Total cpu/real time for replay: 34.35/29.353
Info:Generate Factor Base: Total cpu/real time for makefb: 3/1.76635
Info:Quadratic Characters: Total cpu/real time for characters: 32.79/12.9416
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.43/177.428
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 164.2s
Info:Square Root: Total cpu/real time for sqrt: 200.3/64.5696
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 280824/75783.4
Info:root: Cleaning up computation data in /tmp/cado.2e3j_eqh
3633395471943512665011557168050784805533716485075419001807514992372391084147445385362717 5569905217481787425190413335472821780831289324489486867

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)

740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740739<180>

30974067250014842525561335087992765587<38>

23914868356217757733959450063280197853382169392357581999932714437219100428898606554530578397462581387603795335320069108577264845129859831612497<143>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2111547876
Step 1 took 6063ms
Step 2 took 3391ms
********** Factor found in step 2: 30974067250014842525561335087992765587
Found prime factor of 38 digits: 30974067250014842525561335087992765587
Composite cofactor 23914868356217757733959450063280197853382169392357581999932714437219100428898606554530578397462581387603795335320069108577264845129859831612497 has 143 digits
 

GMP-ECM

23914868356217757733959450063280197853382169392357581999932714437219100428898606554530578397462581387603795335320069108577264845129859831612497<143>

14785221147016400493705061485355071070811<41>
1617484657038334807602026550716291319844760517109055713593672892195497104816758163256517817920588274627<103>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1933356531
Step 1 took 5859ms
Step 2 took 3250ms
********** Factor found in step 2: 14785221147016400493705061485355071070811
Found prime factor of 41 digits: 14785221147016400493705061485355071070811
Prime cofactor 1617484657038334807602026550716291319844760517109055713593672892195497104816758163256517817920588274627 has 103 digits
 

GMP-ECM

148947425369513407247030828286505727313078650847208720519945088006682769228768897213381015427538173202875536957057650688892057380269395098318868578313396648875705843<165>

67117862744380478428145536763110897020039001782320012659540919975831<68>
2219192019519188350090992405215268718108212595869146462798515301567785805360666531765892870862853<97>

148947425369513407247030828286505727313078650847208720519945088006682769228768897213381015427538173202875536957057650688892057380269395098318868578313396648875705843=67117862744380478428145536763110897020039001782320012659540919975831*2219192019519188350090992405215268718108212595869146462798515301567785805360666531765892870862853

cado polynomial
n: 148947425369513407247030828286505727313078650847208720519945088006682769228768897213381015427538173202875536957057650688892057380269395098318868578313396648875705843
skew: 0.75
type: snfs
c0: -47
c5: 200
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 200*x^5-47
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7600000
tasks.lim1 = 7600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 67117862744380478428145536763110897020039001782320012659540919975831 2219192019519188350090992405215268718108212595869146462798515301567785805360666531765892870862853
Info:Square Root: Total cpu/real time for sqrt: 295.44/93.4907
Info:Filtering - Singleton removal: Total cpu/real time for purge: 110.05/116.007
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22418232
Info:Lattice Sieving: Average J: 1894.12 for 1162912 special-q, max bucket fill -bkmult 1.0,1s:1.182250
Info:Lattice Sieving: Total time: 195801s
Info:Linear Algebra: Total cpu/real time for bwc: 23771.5/6106.58
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 15112.34, WCT time 3867.43, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38400 iterations)
Info:Linear Algebra: Lingen CPU time 233.06, WCT time 59.08
Info:Linear Algebra: Mksol: CPU time 8218.01,  WCT time 2103.27, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (19200 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.23/32.7587
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.38/105.354
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 216.26/182.526
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 168.5s
Info:Filtering - Merging: Merged matrix has 1225534 rows and total weight 208501376 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 298.3/82.9049
Info:Filtering - Merging: Total cpu/real time for replay: 43.76/37.2606
Info:Generate Factor Base: Total cpu/real time for makefb: 3.26/1.95181
Info:Quadratic Characters: Total cpu/real time for characters: 41.04/16.2487
Info:Square Root: Total cpu/real time for sqrt: 295.44/93.4907
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 389789/105112
Info:root: Cleaning up computation data in /tmp/cado.ciay720m
67117862744380478428145536763110897020039001782320012659540919975831 2219192019519188350090992405215268718108212595869146462798515301567785805360666531765892870862853

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)

20609806814240997372044165858086886684377712171570167853032967493889256083442305732901553184207567322746330464009694331<119>

28314282623363367735488321192868684130955806093<47>
727894366542591957244901665831659739917953604523421263340868591837897767<72>

20609806814240997372044165858086886684377712171570167853032967493889256083442305732901553184207567322746330464009694331=28314282623363367735488321192868684130955806093*727894366542591957244901665831659739917953604523421263340868591837897767

cado polynomial
n: 20609806814240997372044165858086886684377712171570167853032967493889256083442305732901553184207567322746330464009694331
skew: 12370.261
c0: 53444058554843631916374336
c1: -4977724893549846278207
c2: 3150961898019942648
c3: 38968369718513
c4: -5462789238
c5: 402480
Y0: -50096536608635882394298
Y1: 98531230940101463
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.699e-06
# f(x) = 402480*x^5-5462789238*x^4+38968369718513*x^3+3150961898019942648*x^2-4977724893549846278207*x+53444058554843631916374336
# g(x) = 98531230940101463*x-50096536608635882394298

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

cado log (extracts)
Info:Square Root: Factors: 28314282623363367735488321192868684130955806093 727894366542591957244901665831659739917953604523421263340868591837897767
Info:Square Root: Total cpu/real time for sqrt: 1046.23/150.393
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 211.02/138.477
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 126.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 83.93/85.1116
Info:Quadratic Characters: Total cpu/real time for characters: 21.56/4.79986
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1473.49
Info:Polynomial Selection (root optimized): Rootsieve time: 1470.27
Info:Generate Free Relations: Total cpu/real time for freerel: 152.94/14.0396
Info:Filtering - Merging: Merged matrix has 642150 rows and total weight 65099825 (101.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 55.62/9.50449
Info:Filtering - Merging: Total cpu/real time for replay: 14.81/10.8963
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13481759
Info:Lattice Sieving: Average J: 1888.78 for 230525 special-q, max bucket fill -bkmult 1.0,1s:1.235830
Info:Lattice Sieving: Total time: 51054s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 94.65/85.4816
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 85.4s
Info:Square Root: Total cpu/real time for sqrt: 1046.23/150.393
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20058/33.160/42.229/47.340/1.054
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15814/32.990/37.372/42.710/0.826
Info:Polynomial Selection (size optimized): Total time: 3265.28
Info:Generate Factor Base: Total cpu/real time for makefb: 6.07/0.660618
Info:Linear Algebra: Total cpu/real time for bwc: 4325.64/778.78
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2573.54, WCT time 472.24, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (20224 iterations)
Info:Linear Algebra: Lingen CPU time 239.32, WCT time 21.12
Info:Linear Algebra: Mksol: CPU time 1456.82,  WCT time 269.65, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10240 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 106097/60.0958
28314282623363367735488321192868684130955806093 727894366542591957244901665831659739917953604523421263340868591837897767

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)

16112907767330883874885022661669929563747821729713727482206053366981237782300774127470114510752113682696234826257576076602561574851034857202192792074177<152>

449486546325171304271686229642562801873128876196955537<54>
35847363840061076756479113323205429630801112131007871028370099704450613408278926833687066829436721<98>

16112907767330883874885022661669929563747821729713727482206053366981237782300774127470114510752113682696234826257576076602561574851034857202192792074177=449486546325171304271686229642562801873128876196955537*35847363840061076756479113323205429630801112131007871028370099704450613408278926833687066829436721

cado polynomial
n: 16112907767330883874885022661669929563747821729713727482206053366981237782300774127470114510752113682696234826257576076602561574851034857202192792074177
skew: 2.98
type: snfs
c0: -235
c5: 1
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = x^5-235
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8500000
tasks.lim1 = 8500000
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: 449486546325171304271686229642562801873128876196955537 35847363840061076756479113323205429630801112131007871028370099704450613408278926833687066829436721
Info:Square Root: Total cpu/real time for sqrt: 682.4/214.391
Info:Filtering - Singleton removal: Total cpu/real time for purge: 236.57/277.632
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23569822
Info:Lattice Sieving: Average J: 1893.97 for 1372927 special-q, max bucket fill -bkmult 1.0,1s:1.188010
Info:Lattice Sieving: Total time: 241545s
Info:Linear Algebra: Total cpu/real time for bwc: 45499.5/11680
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 29080.98, WCT time 7434.96, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51968 iterations)
Info:Linear Algebra: Lingen CPU time 325.04, WCT time 82.53
Info:Linear Algebra: Mksol: CPU time 15792.04,  WCT time 4047.16, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26112 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.31/32.0709
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 94.96/109.62
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 109.3s
Info:Filtering - Merging: Merged matrix has 1659330 rows and total weight 282568068 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 434.49/120.561
Info:Filtering - Merging: Total cpu/real time for replay: 63.6/56.3081
Info:Generate Factor Base: Total cpu/real time for makefb: 3.57/1.9347
Info:Quadratic Characters: Total cpu/real time for characters: 60.34/24.1564
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 352.5/351.441
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 287.0s
Info:Square Root: Total cpu/real time for sqrt: 682.4/214.391
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 498024/133533
Info:root: Cleaning up computation data in /tmp/cado.h9diqwnq
449486546325171304271686229642562801873128876196955537 35847363840061076756479113323205429630801112131007871028370099704450613408278926833687066829436721

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)

246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913<186>

513082228760334249110702712322296040655247220696639741884869183249101<69>
481235884632927600172913833613399371820665531150706713181655258628173614933079967633368838376156521030515322821748613<117>

Number: n
N=246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913  ( 186 digits)
SNFS difficulty: 187 digits.
Divisors found:

Fri Jan  7 10:12:42 2022  p69 factor: 513082228760334249110702712322296040655247220696639741884869183249101
Fri Jan  7 10:12:42 2022  p117 factor: 481235884632927600172913833613399371820665531150706713181655258628173614933079967633368838376156521030515322821748613
Fri Jan  7 10:12:42 2022  elapsed time 00:28:21 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 2x10^187-47 = 4(185)34
#
n: 246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913
m: 10000000000000000000000000000000000000
deg: 5
c5: 200
c0: -47
skew: 0.75
# Murphy_E = 4.657e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3405503 hash collisions in 29627544 relations (27969527 unique)
Msieve: matrix is 1064784 x 1065010 (369.5 MB)

Sieving start time : 2022/01/07 05:12:06
Sieving end time  : 2022/01/07 09:43:09

Total sieving time: 4hrs 31min 3secs.

Total relation processing time: 0hrs 18min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 26sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

22222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222217<188>

1557768816617584624727991321393523151<37>
14265417297589631447534467521203592056260775808694819076046744469199190680049107556995288887583433334347725503053614584732637235963809683369612397456167<152>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2262397946
Step 1 took 8469ms
Step 2 took 4172ms
********** Factor found in step 2: 1557768816617584624727991321393523151
Found prime factor of 37 digits: 1557768816617584624727991321393523151
Prime cofactor 14265417297589631447534467521203592056260775808694819076046744469199190680049107556995288887583433334347725503053614584732637235963809683369612397456167 has 152 digits

GMP-ECM

3457923381254620249038443621711555792810054372165878897081401956875250793337934263617775478414580910490758911347154419460377133792182641036333795828871<151>

181929072605815016073299337767581097<36>
19006986248684336548953334909397680402985591663479029790581150692424967769900764522638023047390873678038257799956143<116>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3656403643
Step 1 took 5828ms
Step 2 took 3406ms
********** Factor found in step 2: 181929072605815016073299337767581097
Found prime factor of 36 digits: 181929072605815016073299337767581097
Prime cofactor 19006986248684336548953334909397680402985591663479029790581150692424967769900764522638023047390873678038257799956143 has 116 digits

GMP-ECM

3208522157808144748789402487151972385424620218601177450829520697669244858940857438908687845711092459468069793589807672754517106212774973282115008146204579327060810256674645053104117<181>

53439151293575908250003915043997651152110403144113341090988021<62>
60040664571591942305566677407921208127791794811777150283008005947521121443727330415128434632841159681106840819843096577<119>

Number: n
N=3208522157808144748789402487151972385424620218601177450829520697669244858940857438908687845711092459468069793589807672754517106212774973282115008146204579327060810256674645053104117  ( 181 digits)
SNFS difficulty: 191 digits.
Divisors found:

Mon Jan 10 11:10:26 2022  p62 factor: 53439151293575908250003915043997651152110403144113341090988021
Mon Jan 10 11:10:26 2022  p119 factor: 60040664571591942305566677407921208127791794811777150283008005947521121443727330415128434632841159681106840819843096577
Mon Jan 10 11:10:26 2022  elapsed time 00:38:16 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 2x10^191-47 = 4(189)34
#
n: 3208522157808144748789402487151972385424620218601177450829520697669244858940857438908687845711092459468069793589807672754517106212774973282115008146204579327060810256674645053104117
m: 100000000000000000000000000000000000000
deg: 5
c5: 20
c0: -47
skew: 1.19
# Murphy_E = 3.224e-11
type: snfs
lss: 1
rlim: 10800000
alim: 10800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4129826 hash collisions in 31289357 relations (28876287 unique)
Msieve: matrix is 1257255 x 1257480 (434.3 MB)

Sieving start time : 2022/01/10 05:37:03
Sieving end time  : 2022/01/10 10:31:29

Total sieving time: 4hrs 54min 26secs.

Total relation processing time: 0hrs 27min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 48sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10800000,10800000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

126211255160267827934344566273010506468719482626103361357871503156811599113769595672244014854494570072949067467167197357548911007317757726315580303576880546853217752279999551<174>

18053203758043295391356996386295366757825518953991425321<56>
6991072435220068196233372599245063260374647655846966380528240753692217506323716995758679271371086381391853038658382631<118>

Number: n
N=126211255160267827934344566273010506468719482626103361357871503156811599113769595672244014854494570072949067467167197357548911007317757726315580303576880546853217752279999551  ( 174 digits)
SNFS difficulty: 192 digits.
Divisors found:

Fri Jan 14 23:24:55 2022  p56 factor: 18053203758043295391356996386295366757825518953991425321
Fri Jan 14 23:24:55 2022  p118 factor: 6991072435220068196233372599245063260374647655846966380528240753692217506323716995758679271371086381391853038658382631
Fri Jan 14 23:24:55 2022  elapsed time 00:45:44 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 2x10^192-47 = 4(190)34
#
n: 126211255160267827934344566273010506468719482626103361357871503156811599113769595672244014854494570072949067467167197357548911007317757726315580303576880546853217752279999551
m: 100000000000000000000000000000000000000
deg: 5
c5: 200
c0: -47
skew: 0.75
# Murphy_E = 2.902e-11
type: snfs
lss: 1
rlim: 11200000
alim: 11200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 25600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3711257 hash collisions in 30507021 relations (28547186 unique)
Msieve: matrix is 1348395 x 1348620 (468.1 MB)

Sieving start time : 2022/01/14 16:04:12
Sieving end time  : 2022/01/14 22:38:10

Total sieving time: 6hrs 33min 58secs.

Total relation processing time: 0hrs 33min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 47sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11200000,11200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119057] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221988K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505248K reserved, 0K cma-reserved)
[    0.152620] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.150211] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

33760478195788107335050534388428295251648248460378209399217119682894887919625755177035650496236589597834967178288145940659500792027928653037497276327877160937<158>

1932583085835068629483233271232249<34>
17469095348726087925931482090331068936893684733892644967669387696122329578717704877039795753484942844700553945759408495283313<125>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:568878927
Step 1 took 7094ms
Step 2 took 3656ms
********** Factor found in step 2: 1932583085835068629483233271232249
Found prime factor of 34 digits: 1932583085835068629483233271232249
Prime cofactor 17469095348726087925931482090331068936893684733892644967669387696122329578717704877039795753484942844700553945759408495283313 has 125 digits

GMP-ECM

45075501464953797610998422357448726617083615055217489294568402073473067387874690105927428442641424385846292540004507550146495379761099842235744872661708361505521748929456840207347306738787469<191>

1063570390385202735984454770121609445003304317677876784866951726953057863573<76>
42381305339488064198209803793995493719018057773778397834823062237068724012235956627683729286539723221312158124329753<116>

Number: n
N=45075501464953797610998422357448726617083615055217489294568402073473067387874690105927428442641424385846292540004507550146495379761099842235744872661708361505521748929456840207347306738787469  ( 191 digits)
SNFS difficulty: 195 digits.
Divisors found:

Wed Jan 12 13:33:58 2022  p76 factor: 1063570390385202735984454770121609445003304317677876784866951726953057863573
Wed Jan 12 13:33:58 2022  p116 factor: 42381305339488064198209803793995493719018057773778397834823062237068724012235956627683729286539723221312158124329753
Wed Jan 12 13:33:58 2022  elapsed time 00:52:21 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.300).
Factorization parameters were as follows:
#
# N = 2x10^194-47 = 4(192)34
#
n: 45075501464953797610998422357448726617083615055217489294568402073473067387874690105927428442641424385846292540004507550146495379761099842235744872661708361505521748929456840207347306738787469
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -235
skew: 2.98
# Murphy_E = 2.28e-11
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4001393 hash collisions in 30643425 relations (28318988 unique)
Msieve: matrix is 1500114 x 1500339 (521.5 MB)

Sieving start time : 2022/01/12 06:48:22
Sieving end time  : 2022/01/12 12:40:59

Total sieving time: 5hrs 52min 37secs.

Total relation processing time: 0hrs 42min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 34sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

3598373168680004495332616144625941963246525726364196436735483971906944753634108369177227883384800762529848568352541167222228151327449<133>

1048993557966177049469521495521762980202666577133192776243427<61>
3430310073263603114753172857099271753121588791875399654442633697080595987<73>

3598373168680004495332616144625941963246525726364196436735483971906944753634108369177227883384800762529848568352541167222228151327449=1048993557966177049469521495521762980202666577133192776243427*3430310073263603114753172857099271753121588791875399654442633697080595987

cado polynomial
n: 3598373168680004495332616144625941963246525726364196436735483971906944753634108369177227883384800762529848568352541167222228151327449
skew: 148706.438
c0: -437809036200416925939883512480
c1: -11700612871144126914920084
c2: 144221393400291338810
c3: -2098336926310056
c4: -5961613933
c5: 18060
Y0: -45703056109869583751597773
Y1: 107544582737982589
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.563e-07
# f(x) = 18060*x^5-5961613933*x^4-2098336926310056*x^3+144221393400291338810*x^2-11700612871144126914920084*x-437809036200416925939883512480
# g(x) = 107544582737982589*x-45703056109869583751597773

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3430310073263603114753172857099271753121588791875399654442633697080595987 1048993557966177049469521495521762980202666577133192776243427
Info:Square Root: Total cpu/real time for sqrt: 373.14/112.467
Info:Filtering - Singleton removal: Total cpu/real time for purge: 95.57/100.79
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17013012
Info:Lattice Sieving: Average J: 3775.65 for 507317 special-q, max bucket fill -bkmult 1.0,1s:1.168770
Info:Lattice Sieving: Total time: 170826s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.06/4.01297
Info:Generate Free Relations: Total cpu/real time for freerel: 247.22/62.6699
Info:Linear Algebra: Total cpu/real time for bwc: 21515.1/5535.46
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 13650.48, WCT time 3500.44, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37120 iterations)
Info:Linear Algebra: Lingen CPU time 230.33, WCT time 58.42
Info:Linear Algebra: Mksol: CPU time 7437.35,  WCT time 1904.27, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18688 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 73.55/85.6503
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 85.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6445.85
Info:Polynomial Selection (root optimized): Rootsieve time: 6443.41
Info:Filtering - Merging: Merged matrix has 1183634 rows and total weight 201704779 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 296.49/82.8617
Info:Filtering - Merging: Total cpu/real time for replay: 43.07/36.2046
Info:Quadratic Characters: Total cpu/real time for characters: 39.3/15.8061
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): 54388/38.710/47.616/52.780/0.988
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44395/38.550/42.417/48.210/0.973
Info:Polynomial Selection (size optimized): Total time: 11128.9
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 187.58/157.532
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 145.60000000000002s
Info:Square Root: Total cpu/real time for sqrt: 373.14/112.467
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 359944/96929.7
Info:root: Cleaning up computation data in /tmp/cado.0p03yu8n
3430310073263603114753172857099271753121588791875399654442633697080595987 1048993557966177049469521495521762980202666577133192776243427

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)

235776808016850119529571106946085004809733268613890190398248555543926981836596151730990431149828528422645642893435271780324535753<129>

29099349742966230034639473003774513668240542843<47>
8102476862866706426408429695305646334096824254218069400885535970794834876050687371<82>

235776808016850119529571106946085004809733268613890190398248555543926981836596151730990431149828528422645642893435271780324535753=29099349742966230034639473003774513668240542843*8102476862866706426408429695305646334096824254218069400885535970794834876050687371

cado polynomial
n: 235776808016850119529571106946085004809733268613890190398248555543926981836596151730990431149828528422645642893435271780324535753
skew: 34969.246
c0: 4463985594463350618105338955
c1: -4143269513724650874199548
c2: -159902040032804282269
c3: 3819533580554770
c4: -72244152588
c5: 532620
Y0: -3382783874762834371511272
Y1: 16516945290538763
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.022e-07
# f(x) = 532620*x^5-72244152588*x^4+3819533580554770*x^3-159902040032804282269*x^2-4143269513724650874199548*x+4463985594463350618105338955
# g(x) = 16516945290538763*x-3382783874762834371511272

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

cado log (extracts)
Info:Square Root: Factors: 8102476862866706426408429695305646334096824254218069400885535970794834876050687371 29099349742966230034639473003774513668240542843
Info:Square Root: Total cpu/real time for sqrt: 670.65/201.177
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 331.02/305.999
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 268.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 206.63/229.114
Info:Linear Algebra: Total cpu/real time for bwc: 42735.4/10966
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 27295.38, WCT time 6972.33, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50944 iterations)
Info:Linear Algebra: Lingen CPU time 327.69, WCT time 83.31
Info:Linear Algebra: Mksol: CPU time 14819.85,  WCT time 3800.51, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25600 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23787998
Info:Lattice Sieving: Average J: 7650.69 for 58769 special-q, max bucket fill -bkmult 1.0,1s:1.069800
Info:Lattice Sieving: Total time: 81454.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 39.03/10.4033
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5156.83
Info:Polynomial Selection (root optimized): Rootsieve time: 5154.37
Info:Generate Free Relations: Total cpu/real time for freerel: 253.24/64.5958
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 99.95/116.744
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 116.4s
Info:Filtering - Merging: Merged matrix has 1625573 rows and total weight 277244742 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 404.78/113.993
Info:Filtering - Merging: Total cpu/real time for replay: 62.49/52.3814
Info:Quadratic Characters: Total cpu/real time for characters: 62.95/25.357
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): 38636/37.800/45.796/49.300/0.856
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30652/37.010/41.075/46.610/0.941
Info:Polynomial Selection (size optimized): Total time: 4911.95
Info:Square Root: Total cpu/real time for sqrt: 670.65/201.177
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 207999/56012.1
Info:root: Cleaning up computation data in /tmp/cado._u5inybs
8102476862866706426408429695305646334096824254218069400885535970794834876050687371 29099349742966230034639473003774513668240542843

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)

127039198586838109740748258333726289155139417483164282556981578340092208556889578519510971476154180298169709577477119<117>

260516462090397951750883884811930944849091184789061007<54>
487643650491292648339479986096619276779700914399925697291920017<63>

CADO

STA:Sun 02 Jan 2022 13:10:20 AEDT (127,039,198,586,838,109,740,748,258,333,726,289,155,139,417,483,164,282,556,981,578,340,092,208,556,889,578,519,510,971,476,154,180,298,169,709,577,477,119 - C117)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 127039198586838109740748258333726289155139417483164282556981578340092208556889578519510971476154180298169709577477119 2>&1 | tee -a log148

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.25uf17la
Info:Database: Opened connection to database /tmp/cado.25uf17la/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 1270391985868381097407482583337262891551394174831642825569815783400922085568895785195
10971476154180298169709577477119
Debug:root: Root parameter dictionary:
N = 127039198586838109740748258333726289155139417483164282556981578340092208556889578519510971476154180298169709577477119
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 127039198586838109740748258333726289155139417483164282556981578340092208556889578519510971476154180298169709577477119
skew: 8999756.511
c0: 22841606532698173542632417821007
c1: 6829368078109013397398548
c2: -6524126070900579885
c3: -175643094246
c4: 15120
Y0: -9579073062868430023828713864
Y1: 1710863674214763253
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 1.55e-09
# f(x) = 15120*x^4-175643094246*x^3-6524126070900579885*x^2+6829368078109013397398548*x+22841606532698173542632417821007
# g(x) = 1710863674214763253*x-9579073062868430023828713864
...
Info:Square Root: finished
Info:Square Root: Factors: 487643650491292648339479986096619276779700914399925697291920017 260516462090397951750883884811930944849091184789061007
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 356.38/52.1168
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): 56236/39.290/44.366/47.920/0.609
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56236/38.260/43.630/45.570/0.990
Info:Polynomial Selection (size optimized): Total time: 1123.59
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 149.58
Info:Polynomial Selection (root optimized): Rootsieve time: 148.87
Info:Generate Factor Base: Total cpu/real time for makefb: 2.72/0.291727
Info:Generate Free Relations: Total cpu/real time for freerel: 53.16/3.51836
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6785058
Info:Lattice Sieving: Average J: 4096 for 112675 special-q, max bucket fill: 0.709772
Info:Lattice Sieving: Total CPU time: 87042.3s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.85/20.0845
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 90.56/27.63
Info:Filtering - Singleton removal: Total cpu/real time for purge: 63.05/25.4704
Info:Filtering - Merging: Total cpu/real time for merge: 172.53/137.79
Info:Filtering - Merging: Total cpu/real time for replay: 17.86/13.9108
Info:Linear Algebra: Total cpu/real time for bwc: 6131.08/0.000200748
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 256.0
Info:Linear Algebra: Lingen CPU time 113.79, WCT time 11.32
Info:Linear Algebra: Mksol: WCT time 138.93
Info:Quadratic Characters: Total cpu/real time for characters: 17.91/4.2759
Info:Square Root: Total cpu/real time for sqrt: 356.38/52.1168
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 95237.5/6584.01
Info:root: Cleaning up computation data in /tmp/cado.25uf17la
487643650491292648339479986096619276779700914399925697291920017 260516462090397951750883884811930944849091184789061007

END:Sun 02 Jan 2022 15:00:05 AEDT (127,039,198,586,838,109,740,748,258,333,726,289,155,139,417,483,164,282,556,981,578,340,092,208,556,889,578,519,510,971,476,154,180,298,169,709,577,477,119 - C117)

22222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222217<200>

10395680044214923701540309839186446897<38>
2137640070462598849268461742275313863457826026951445472559974822990521809061862763753588167835045148925814526476400968027883870816565148945101639214622067561529561<163>

C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:2633330997 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 22222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222217 (200 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2633330997
Step 1 took 6360ms
Step 2 took 5094ms
********** Factor found in step 2: 10395680044214923701540309839186446897
Found probable prime factor of 38 digits: 10395680044214923701540309839186446897
Probable prime cofactor 2137640070462598849268461742275313863457826026951445472559974822990521809061862763753588167835045148925814526476400968027883870816565148945101639214622067561529561 has 163 digits

54604102817442547071269060650913452319538502662975973520462914336987192473922764248962350147039968039232781005298189859779046593265357613632700980764478094806274557823690404180291841301133<188>

994966844735116835563863306270553217179315642233556700353852649453102342431<75>
54880324009167783837156816320574808001989073695478883391943208449922611674819204403387825165472723120704810578643<113>

Number: n
N=54604102817442547071269060650913452319538502662975973520462914336987192473922764248962350147039968039232781005298189859779046593265357613632700980764478094806274557823690404180291841301133  ( 188 digits)
SNFS difficulty: 201 digits.
Divisors found:

Tue Jan 18 16:17:00 2022  p75 factor: 994966844735116835563863306270553217179315642233556700353852649453102342431
Tue Jan 18 16:17:00 2022  p113 factor: 54880324009167783837156816320574808001989073695478883391943208449922611674819204403387825165472723120704810578643
Tue Jan 18 16:17:00 2022  elapsed time 01:50:49 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 2x10^201-47 = 4(199)34
#
n: 54604102817442547071269060650913452319538502662975973520462914336987192473922764248962350147039968039232781005298189859779046593265357613632700980764478094806274557823690404180291841301133
m: 10000000000000000000000000000000000000000
deg: 5
c5: 20
c0: -47
skew: 1.19
# Murphy_E = 1.237e-11
type: snfs
lss: 1
rlim: 15900000
alim: 15900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3716772 hash collisions in 27157648 relations (24824121 unique)
Msieve: matrix is 2192492 x 2192717 (764.8 MB)

Sieving start time : 2022/01/18 06:19:29
Sieving end time  : 2022/01/18 14:25:36

Total sieving time: 8hrs 6min 7secs.

Total relation processing time: 1hrs 37min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 27sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15900000,15900000,28,28,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119057] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221988K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505248K reserved, 0K cma-reserved)
[    0.152620] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.150211] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

217093807340701317717221733340126510451863869624701945783743652849688048516330057447761077918309818969060038436273606950769816626276194368968670576658030850705929<162>

13340370191342765083452027530352581197409093997293986376655678533901727<71>
16273447005360044007220860063983758969759047252092036859025804111524998797839996980307715927<92>

Number: n
N=217093807340701317717221733340126510451863869624701945783743652849688048516330057447761077918309818969060038436273606950769816626276194368968670576658030850705929  ( 162 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sun Nov 19 05:36:48 2023  prp71 factor: 13340370191342765083452027530352581197409093997293986376655678533901727
Sun Nov 19 05:36:48 2023  prp92 factor: 16273447005360044007220860063983758969759047252092036859025804111524998797839996980307715927
Sun Nov 19 05:36:48 2023  elapsed time 02:13:45 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.085).
Factorization parameters were as follows:
#
# N = 2x2x10^202-47 = 4(200)34
#
n: 217093807340701317717221733340126510451863869624701945783743652849688048516330057447761077918309818969060038436273606950769816626276194368968670576658030850705929
m: 10000000000000000000000000000000000000000
deg: 5
c5: 200
c0: -47
skew: 0.75
# Murphy_E = 1.113e-11
type: snfs
lss: 1
rlim: 16500000
alim: 16500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16500000/16500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3453351 hash collisions in 20267550 relations (17282588 unique)
Msieve: matrix is 2030537 x 2030762 (570.5 MB)

Sieving start time: 2023/11/18 11:54:16
Sieving end time  : 2023/11/19 03:22:37

Total sieving time: 15hrs 28min 21secs.

Total relation processing time: 2hrs 3min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 45sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16500000,16500000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

297028654327916428364505343420910946693931301505625442592745961664113371211697451955751636912861822541820320955533477738173736704452526508255897547032278923645616190720547577224597857363<186>

40057897489056086173940534169483324278867<41>

7414983634851663652241437256757963417849477361753776458415696167479157717827134045005222542979441151429706866961979673591133002409983384512754689<145>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=297146160
Step 1 took 40880ms
Step 2 took 14564ms
********** Factor found in step 2: 40057897489056086173940534169483324278867
Found probable prime factor of 41 digits: 40057897489056086173940534169483324278867
Composite cofactor 7414983634851663652241437256757963417849477361753776458415696167479157717827134045005222542979441151429706866961979673591133002409983384512754689 has 145 digits

370332577241139952057494183755081183427541200492649049334677018581041607799942906038818312170128515474368752759061727481749916840042240934793479230197805338733<159>

48638995434106573850359870501737307901186905475108006829828508593823139585334321011536172507457411606121381804112460811810907090089586571725068986629897547231071<161>

281433915040752460406564843758420044605380974034220571579285758022150856553989390123766314896608923272913910427508766746642449672463882944468044895870611124246791229753407933876833621713347558573483<198>

38272057598916544521429459408311915824137025389351955584803809197574291861078537627165890267636763219078796212074762994238740780715032770094068793497889363334775928192614258829959257<182>

1024065540194572452636968766001024065540194572452636968766001024065540194572452636968766001024065540194572452636968766001024065540194572452636968766001024065540194572452636968766001024065540194572452636968766001<211>

8466402927788596023596756372330776664353<40>
120956390680788906884667913539802389283933575788669928059289837852473292150145569545743104647768473664002415434463917179129231416771140864561408502683695784757996957024017<171>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1929641787
Step 1 took 10047ms
Step 2 took 4640ms
********** Factor found in step 2: 8466402927788596023596756372330776664353
Found prime factor of 40 digits: 8466402927788596023596756372330776664353
Prime cofactor 120956390680788906884667913539802389283933575788669928059289837852473292150145569545743104647768473664002415434463917179129231416771140864561408502683695784757996957024017 has 171 digits
 

GMP-ECM

32701646169183298728643672337831484381504255839914600291493883469066512164497307500029227286965233236963411226173796108258443298934096916540152422474167500853138536591<167>

1071507151851980561710554938424478565114953985537650910765750305172876320583608917615192051655642072754523242886910592580373866980690927166443839392067381423721404960736115335003318563<184>

6086905487350369315036998739144937218654968507529235227993936702939910037008750615013770991476548990808548498494029345086499943841361790693461317681139389414721200735084026487093<178>

36755807527322838037651793479549999157436029096577485560403406466465883405049896884649597268495204699392681595678058321631759513765594114468194731282298774121116713072519534226619761<182>

18000636827828197807077813267455903813905269455554156809294179971985760149691115333387851483266708705149837991371283205008174689011127342798472501179536244333<158>

54765127801339568814598334880019691680589953<44>
18376083525511598268506028815464806853124616013<47>
17886724102760076361251894363565512562093301461706042415632060318497<68>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 18000636827828197807077813267455903813905269455554156809294179971985760149691115333387851483266708705149837991371283205008174689011127342798472501179536244333 (158 digits)
Using B1=19310000, B2=70271655100, polynomial Dickson(12), sigma=1:2545965187
Step 1 took 47515ms
Step 2 took 16382ms
********** Factor found in step 2: 54765127801339568814598334880019691680589953
Found prime factor of 44 digits: 54765127801339568814598334880019691680589953
Composite cofactor 328687936110100663329959991285586278731888275006744382576853955481219010352646990270632894637446724491807606292461 has 114 digits

CADO

STA:Mon 11 Jul 2022 03:28:07 AEST (328687936110100663329959991285586278731888275006744382576853955481219010352646990270632894637446724491807606292461 - C114)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 328687936110100663329959991285586278731888275006744382576853955481219010352646990270632894637446724491807606292461 2>&1 | tee -a log170

Debug:root: Looking for parameter file for c114 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.zo9qbbvb
Info:Database: Opened connection to database /tmp/cado.zo9qbbvb/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 328687936110100663329959991285586278731888275006744382576853955481219010352646990270632894637446724491807606292461
Debug:root: Root parameter dictionary:
N = 328687936110100663329959991285586278731888275006744382576853955481219010352646990270632894637446724491807606292461
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 328687936110100663329959991285586278731888275006744382576853955481219010352646990270632894637446724491807606292461
skew: 1380599.749
c0: 741729169479014754661954278921
c1: -1869698496148562908560
c2: -1400176302038036343
c3: 347074435798
c4: 242760
Y0: -1077983285901894949888183858
Y1: 2029451912056115803
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 2.68e-09
# f(x) = 242760*x^4+347074435798*x^3-1400176302038036343*x^2-1869698496148562908560*x+741729169479014754661954278921
# g(x) = 2029451912056115803*x-1077983285901894949888183858
===
Info:Square Root: finished
Info:Square Root: Factors: 18376083525511598268506028815464806853124616013 17886724102760076361251894363565512562093301461706042415632060318497
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 275.77/39.7675
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): 56581/37.730/43.359/46.490/0.645
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56581/37.210/42.538/44.480/1.015
Info:Polynomial Selection (size optimized): Total time: 1128.2
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 163.04
Info:Polynomial Selection (root optimized): Rootsieve time: 162.35
Info:Generate Factor Base: Total cpu/real time for makefb: 1.65/0.329028
Info:Generate Free Relations: Total cpu/real time for freerel: 44.46/5.10438
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6779936
Info:Lattice Sieving: Average J: 4096 for 63986 special-q, max bucket fill: 0.715308
Info:Lattice Sieving: Total CPU time: 55975.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.63/18.9899
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 90/28.3486
Info:Filtering - Singleton removal: Total cpu/real time for purge: 80.55/30.3314
Info:Filtering - Merging: Total cpu/real time for merge: 115.9/91.8106
Info:Filtering - Merging: Total cpu/real time for replay: 12.52/9.55851
Info:Linear Algebra: Total cpu/real time for bwc: 3429.42/0.000334024
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 144.78
Info:Linear Algebra: Lingen CPU time 83.11, WCT time 8.45
Info:Linear Algebra: Mksol: WCT time 80.55
Info:Quadratic Characters: Total cpu/real time for characters: 13.94/3.21315
Info:Square Root: Total cpu/real time for sqrt: 275.77/39.7675
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 61347.8/4525.03
Info:root: Cleaning up computation data in /tmp/cado.zo9qbbvb
18376083525511598268506028815464806853124616013 17886724102760076361251894363565512562093301461706042415632060318497

END:Mon 11 Jul 2022 04:43:32 AEST (328687936110100663329959991285586278731888275006744382576853955481219010352646990270632894637446724491807606292461 - C114)

246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913<222>

291698511457844269598113823558938809061670401214211872422115939753940049049814785596060947804114671687222858892477521860088199742387305817954861421368659796486888510971221766486355957156442419010605597<201>

15538624847149735936132573835434084432064136197134560685531724862069050620687070880082484740389864638142330990416218369210465823840598108658572910243044844088238398255652118287683894869009<188>

217656696298761960570641290872589522100295725890455356062581586061694613062676534533797599626786674814901564262542992474927980092033793243571188564221495558303618374015852875316381401729<186>

4989374170096592675672454648314988410748095147879764545892825113840369030265827751933310208711267208108758054540025813181519546703545260536019667939129949917063729<163>

187211145926308282526295315043926961<36>
26651052988375780483009145261731262741648752780969221962673776112895815232677933259963185056456829126405956182411673978548252289<128>

Run 514 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3791183814
Step 1 took 14109ms
Step 2 took 6029ms
********** Factor found in step 2: 187211145926308282526295315043926961
Found prime factor of 36 digits: 187211145926308282526295315043926961
Prime cofactor 26651052988375780483009145261731262741648752780969221962673776112895815232677933259963185056456829126405956182411673978548252289 has 128 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

12616780367094339086608305243416448490394998767151363462674510576299628211491151359688970346440862558443169118577103214883020883557133789139704603918706419594338365120001753268242765121900510280373602865914751<209>

2674352383590568878568631225547953355385204430108584130780661875362394286615434273847080108732191139825621965813786821442596139698629758854924222422009396000991883906658042789859767904819766976987009355163<205>

2211039848416890111146919048833083742688945823604852102293155457656075563289165642098128284924295819724226172736200913540482817696869428637371122384594125092725102262101775512109202197837540645923566400343962578733115023<220>

161868392780805013573946084352367944911669173691823348332639793758824666537702095598042928562376051818962707498855370871314848226984150571538788388748219<153>

459192201906289826634631331676935707015184552313803504779844155018145180440559500731150942813702914399930853527690517985937645468962358221618750419624397511129205219754137391025599987769217160250972063717754533286281<216>

421070812128795354939124125159882129137759457601483085792651301210410285818210414582434679972795097242874452321162186475972984180717441931087186538831554681016174590000995211942635466121528006968703108730075949200925190311083<225>

27356043869034673677347468216132930857<38>

15392240710851509906644736090451858006844495957922807476837663072070957864214654715187855579907889678912066760665374312879065966540545315211085571548404909616853459774370889272154970026419<188>

Run 407 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4166738504
Step 1 took 20620ms
Step 2 took 8403ms
********** Factor found in step 2: 27356043869034673677347468216132930857
Found prime factor of 38 digits: 27356043869034673677347468216132930857
Composite cofactor 15392240710851509906644736090451858006844495957922807476837663072070957864214654715187855579907889678912066760665374312879065966540545315211085571548404909616853459774370889272154970026419 has 188 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

69795320893636970114106166045829017790530184189187749871401028389249714575137970329727216374225306290203340688903439866497799129638699114623524181291235066940161039809461227380717145901570139<191>

40934808905395615519123154806803732148745924906747345634799366463284640129215708691901201070210849882359073227697113823748623405525609065902806121871232264140746475349<167>

323607168251517247254875925702386367374089<42>

126495371306422507729026408293809080596691747942633612589749236747924967253755142025744300373227437333750094569974156413999341<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2558688436
Step 1 took 4937ms
Step 2 took 2735ms
********** Factor found in step 2: 323607168251517247254875925702386367374089
Found prime factor of 42 digits: 323607168251517247254875925702386367374089
Composite cofactor 126495371306422507729026408293809080596691747942633612589749236747924967253755142025744300373227437333750094569974156413999341 has 126 digits
 

GMP-ECM

126495371306422507729026408293809080596691747942633612589749236747924967253755142025744300373227437333750094569974156413999341<126>

62120832203398680503199619190531373042201783671104505187041<59>
2036279406113652234884275085327034722387916628664207577426864700301<67>

CADO

STA:Sun 02 Jan 2022 22:10:21 AEDT (126,495,371,306,422,507,729,026,408,293,809,080,596,691,747,942,633,612,589,749,236,747,924,967,253,755,142,025,744,300,373,227,437,333,750,094,569,974,156,413,999,341 - C126)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 126495371306422507729026408293809080596691747942633612589749236747924967253755142025744300373227437333750094569974156413999341 2>&1 | tee -a log152

Debug:root: Looking for parameter file for c126 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.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.a9yxpk61
Info:Database: Opened connection to database /tmp/cado.a9yxpk61/c125.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 1264953713064225077290264082938090805966917479426336125897492367479249672537551420257
44300373227437333750094569974156413999341
Debug:root: Root parameter dictionary:
N = 126495371306422507729026408293809080596691747942633612589749236747924967253755142025744300373227437333750094569974156413999341
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
...
n: 126495371306422507729026408293809080596691747942633612589749236747924967253755142025744300373227437333750094569974156413999341
skew: 54687.971
c0: 121796766179482875494936128160
c1: -3626193058759419226541513
c2: -245791007431334633154
c3: 66200213704561
c4: 6379747202
c5: 285360
Y0: -976051582896991990943894
Y1: 34953890438329723
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 6.6e-10
# f(x) = 285360*x^5+6379747202*x^4+66200213704561*x^3-245791007431334633154*x^2-3626193058759419226541513*x+121796766179482875494936128160
# g(x) = 34953890438329723*x-976051582896991990943894
...
Info:Square Root: finished
Info:Square Root: Factors: 62120832203398680503199619190531373042201783671104505187041 2036279406113652234884275085327034722387916628664207577426864700301
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 579.72/80.9514
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21717/37.310/44.550/49.140/0.856
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21717/35.250/40.326/45.360/1.343
Info:Polynomial Selection (size optimized): Total time: 1757.79
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1130.35
Info:Polynomial Selection (root optimized): Rootsieve time: 1129.47
Info:Generate Factor Base: Total cpu/real time for makefb: 11.91/1.11191
Info:Generate Free Relations: Total cpu/real time for freerel: 148.8/9.84806
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13060389
Info:Lattice Sieving: Average J: 3774.8 for 193638 special-q, max bucket fill: 0.759621
Info:Lattice Sieving: Total CPU time: 136534s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.91/40.7127
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 190.4/57.0505
Info:Filtering - Singleton removal: Total cpu/real time for purge: 139.58/52.8146
Info:Filtering - Merging: Total cpu/real time for merge: 237.49/194.569
Info:Filtering - Merging: Total cpu/real time for replay: 20.9/16.3652
Info:Linear Algebra: Total cpu/real time for bwc: 9542.95/0.000334978
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 398.34
Info:Linear Algebra: Lingen CPU time 142.16, WCT time 14.17
Info:Linear Algebra: Mksol: WCT time 216.15
Info:Quadratic Characters: Total cpu/real time for characters: 23.51/5.61651
Info:Square Root: Total cpu/real time for sqrt: 579.72/80.9514
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 150351/10395.4
Info:root: Cleaning up computation data in /tmp/cado.a9yxpk61
62120832203398680503199619190531373042201783671104505187041 2036279406113652234884275085327034722387916628664207577426864700301

END:Mon 03 Jan 2022 01:03:38 AEDT (126,495,371,306,422,507,729,026,408,293,809,080,596,691,747,942,633,612,589,749,236,747,924,967,253,755,142,025,744,300,373,227,437,333,750,094,569,974,156,413,999,341 - C126)

811895708855512222053614057712844963873509797043777437042052673933911376531976652081247872915524263160536011822232871508054704612321202296085529131134659775341501276980797894903453670674221357213802354074349<207>

545344469977757444021387852902452691421028343185624388653275650652662311865777369424975156308437341075894096706651153120675823449434395430923995520198800941611832394262382245643563567080327134930982018824667257371100381967977859579727<234>

1084580287386081229943899437016723419696829590079784708944307527342853396323932387901794629529353319498050671032956071640088789373804997649249350961238925427541322360495000932475847096344528849752247991922940922827047252706339479609<232>

1954425020836972273409051835868561<34>

554935735995446581722467466295729807824885431699610644393943560430768804218009021145189928518985767232152888975456771189518586478792061784334030633906283889932921348369779521844379857177751652604969<198>

Run 382 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3950664586
Step 1 took 20863ms
Step 2 took 8459ms
********** Factor found in step 2: 1954425020836972273409051835868561
Found prime factor of 34 digits: 1954425020836972273409051835868561
Composite cofactor 554935735995446581722467466295729807824885431699610644393943560430768804218009021145189928518985767232152888975456771189518586478792061784334030633906283889932921348369779521844379857177751652604969 has 198 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

4144934775462961421059780578518788333024412531707220628886070723643899716089972641557244141242927323336739467584279670283768140119169030260452528117448580126652824941854231538412000398842173167121041957720049243351392872213394096267<232>

198193674929376172577808482917557494575837743417412835171356881176891194789928784462496386057654738336272350638304433368612105600894360321914698259432403879530056581482831625033050984166874489674858766183943790329600097<219>

4241988871999893167928516930957022147<37>

46721875259408074178589221682409874971500610613675437058126760881681071659172261778906079132842830614760803660865538850370833500147620496176767428865815746939294467015223352309699851<182>

GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
Input number is 198193674929376172577808482917557494575837743417412835171356881176891194789928784462496386057654738336272350638304433368612105600894360321914698259432403879530056581482831625033050984166874489674858766183943790329600097 (219 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:41188815
Step 1 took 20699ms
Step 2 took 8151ms
Run 2 out of 2078:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1112147115
Step 1 took 20594ms
Step 2 took 8089ms
********** Factor found in step 2: 4241988871999893167928516930957022147
Found prime factor of 37 digits: 4241988871999893167928516930957022147
Composite cofactor 46721875259408074178589221682409874971500610613675437058126760881681071659172261778906079132842830614760803660865538850370833500147620496176767428865815746939294467015223352309699851 has 182 digits

GMP-ECM 7.0.5-dev

Intel(R) Xeon(R) CPU E5-2695 v4 @ 2.10GHz

1630852417766066887502186494029326576913992228321210705824959695092961674200866434869209228047611565384644366744601108123283476356521778859417811927272915977177939331812219343906327320624281466300746112453306728063628574692629351163481957227769<244>

32770252188444133527261887370901941804110609582879559297270714318040504350786934092750653123145862409791355125242981934001367910872480070383338843524203493656895663803634374139686128936956561551335969920781256094789916531<221>

41880519067153318298226988225292064269844560453482260459136130533201828503462471913876900590305916251526021413509399035491645883459079591832461171523759865479772756303541626094913820361889565259271823414979405254748727355726846878540212627395303937397<251>

3939941676005431068421017163938769750252586873370368329480254956186013600546538924572431626724188763918823937800541366247997799958384646314403051444887702597379127291549532732903220676786529601618228747384408572852159128283527<226>

45690269689716495727863417382774368425349319054417998281026332981483852014835021676344767511763387495808109640389462501031616358058223269844998717491313513150141299414856836696409514791403143680599<197>

53170340002668796858465335347076638480091941608902519232515055295117652999663080884612255289684872916428247297360228008369063037441652491456894078273938665981584543324470289994949282114266820026659126142562225043649890421923<224>

71793393887744009675993581864970301530231967347298009481189208959842356816171884731806123522597294882087822126896597678665081647256608759929952801519804964978384202755920815232237946051027653595248889954167<206>

11598384095207557898818554309665123107311101785672457517925677394241955887740616804311054536615928172525701579020514738421569437926796042233964550942560989045959016143592662669894679891102437497410743878591748279572611321<221>

57509183340522194439052755843073625170811255924862046548570143092020005899140826178765796824179069021891543816714030519463815980540378435019504483304453867725302006750807547224350882056844406689029478342536404499402115358567160763<230>

5768549583350877455947846764396176202023471234643271555084165350993659342847084289747141505253984567162829028671822320843180133477009594847614254883295773867222356124302026522004268449407559549741193828094916026813454592092905490954233<235>

56644310182383430974299570166089442703753467114962280704014751384258253584655925043389972694765370289320129611117057805594615173042466446161281307307048198814542263078562968045475344371190861367436308271595396254374775776842763829131510657659<242>

500869547130509755327684176086002131237181438248247917584214093088746503952401458187915659810554793311638547614678253122621328251583539146372217117446207285338348131833588142711843556446243004262944701160889707147013312211847113665388041<237>

5011194689347060018973634389181899192720917513949649063869816120916604583182372126875657828092881510671321388919324191914837407399374545840295559314659654375455309366462321981171352452175156662513438870642451260894509169938319893826457076326212716504454957303<259>

32073856303710408979190113088137654466283251109750349736038209473770126075893448061296878784967965439669875072900545929829310829201372097317270891415136905927209321768213330468410511865839655694342332744173356608588940593154667131<230>

4929677325099286506610204637389510314041491705025040610467230751825900795509090868591091691107164868562153194632850828600214372778218782052631332064521759659621361116877385533092442830708593195736741642868992823<211>

6570039842396964455003681078347997777237260599943779512064624935462088000644468348220403037320221084337311797964757366769685219897443189169347136159217189213635774736815126604815588885958979621171962590179997311999599280129932524343960415483669398919570745001488229<265>

33729394572958108665913334903571802399<38>
194786770577387331413148427701267685792432685331870183884900737516798996715737705350866644243171928772903089790523811758107583982730372267094085551708399903299431896024368967393096803174782013781126799398525983164055396229522171<228>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3747596039
Step 1 took 13156ms
Step 2 took 5470ms
********** Factor found in step 2: 33729394572958108665913334903571802399
Found prime factor of 38 digits: 33729394572958108665913334903571802399
Prime cofactor 194786770577387331413148427701267685792432685331870183884900737516798996715737705350866644243171928772903089790523811758107583982730372267094085551708399903299431896024368967393096803174782013781126799398525983164055396229522171 has 228 digits

133453174283840221852556929455984807690639527629144304919150730689492497596174698212328003880818308174073651472355508580038207643797463455516387048903248450441830096760224014498352854196401702061784816098189507511078281630237286416535382106464938848419213787314341612101<270>

83465814935798412732137413526978888234496061452995287717682179558060826715659387657344180095084402501291331299312154471030830316731009136227040600676867660746565288456932150782854752444092582815717930446358509613952187509712547607435841479030698543831091365099<260>

33316674995835415625520573046809928369148758953856405130767949358654006330168249208728968848908878893886390138264201232716974845910378144261202731967349658504081292686989838414126270198234216225220722971847409628519073796435115775445610528069298683991337664501082791937364651<275>

75680436821604265699017993384423863<35>

440228365414569132757170318273147482527866747509357243875644236038272596866377257597828165624996081655382286206098220799914012208194178627619931254937270723113596284663453324456676084984029983590254650247420662835440223775259273154183714477<240>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4180256800
Step 1 took 14765ms
Step 2 took 5912ms
********** Factor found in step 2: 75680436821604265699017993384423863
Found prime factor of 35 digits: 75680436821604265699017993384423863
Composite cofactor 440228365414569132757170318273147482527866747509357243875644236038272596866377257597828165624996081655382286206098220799914012208194178627619931254937270723113596284663453324456676084984029983590254650247420662835440223775259273154183714477 has 240 digits

221275309024403811967599731217155795531666434422310327766253975387575006087397862135316884949299628802906882908927705572509761569683894644818862479883845943599407809088131<171>

138904605256705236945415646375960701242403<42>
1593001964301124971826289621579296293846720989409054002045221418043632480412121494817261144225475586843135462063983384997303647777<130>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2057976577
Step 1 took 7219ms
Step 2 took 3797ms
********** Factor found in step 2: 138904605256705236945415646375960701242403
Found prime factor of 42 digits: 138904605256705236945415646375960701242403
Prime cofactor 1593001964301124971826289621579296293846720989409054002045221418043632480412121494817261144225475586843135462063983384997303647777 has 130 digits
 

GMP-ECM

182249016837175657461733561213859006201031910335743603918357506979613378940420800769192910502310092856694199116764767211827239486626024953662959657877042620782414894424830349629885507249269024252705903549573887674335878431741013649531003569429006813661980433909576475974873<273>

35697627095987721563725365961881108595141508534764010181477608460489820234449645089982612766267396166324606774770480662863540662218780229078216873078996536926326856936629029251175157714512512337714845625705016057960172039<221>

147200565708963429256910805432581846097071983217740953637343788682941858382844875474079375674226960610247521649162980329182142422473416137777134510502242797508828191963923276022109260847464795003714644484096375178373165632400230392611700064189148383<249>

147180843509102390287702660097506438764023<42>

1000133999774636563018209221899239110824291162841028484025641654285589195733435270390956664812598329110919367177690015111677132811170902935854816686620857294260294383187454867225784831710935511861932763039321<208>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1250244484
Step 1 took 13563ms
Step 2 took 4728ms
********** Factor found in step 2: 147180843509102390287702660097506438764023
Found probable prime factor of 42 digits: 147180843509102390287702660097506438764023
Composite cofactor 1000133999774636563018209221899239110824291162841028484025641654285589195733435270390956664812598329110919367177690015111677132811170902935854816686620857294260294383187454867225784831710935511861932763039321 has 208 digits

6298358304334888137623634092396615995548190325738035477152925985061576296495832314980722213476018624770740763840355178207896006430784513712917764083580365773352689734908545350471816609023656361615956806415753464081577412168364763<229>

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