2442758596962034026595104161290877500817119953209131100445545406065610431611360547728406530078615540761383771137603<115>

8479325435840345736446909990075887523818171<43>
288084071716011900561083690509101289822712598008436351075092511468768793<72>

N=2442758596962034026595104161290877500817119953209131100445545406065610431611360547728406530078615540761383771137603
  ( 115 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=8479325435840345736446909990075887523818171 (pp43)
 r2=288084071716011900561083690509101289822712598008436351075092511468768793 (pp72)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2442758596962034026595104161290877500817119953209131100445545406065610431611360547728406530078615540761383771137603
m: 100000000000000000000000000000
deg: 4
c4: 1420
c0: -7
skew: 0.26
# Murphy_E = 4.049e-08
type: snfs
lss: 1
rlim: 680000
alim: 680000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2

Factor base limits: 680000/680000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [340000, 640001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 60335 x 60560
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,119.000,4,0,0,0,0,0,0,0,0,680000,680000,25,25,45,45,2.2,2.2,50000
total time: 0.01 hours.
 --------- CPU info (if available) ----------

628325580010600734360174526544769243185328247393027043296266971661220034717411941676150059036077124171030369<108>

865204467593063912287714317822834793<36>
726216291691785797544163763813827525408624727218926926145057705407205433<72>

628325580010600734360174526544769243185328247393027043296266971661220034717411941676150059036077124171030369=865204467593063912287714317822834793*726216291691785797544163763813827525408624727218926926145057705407205433

cado polynomial
n: 628325580010600734360174526544769243185328247393027043296266971661220034717411941676150059036077124171030369
skew: 19619.558
c0: -9072699234967636932901362
c1: 1210435325098217667053
c2: 200987856242629626
c3: -3431536859963
c4: -256936074
c5: 3600
Y0: -1009371326210417633152
Y1: 7204847802709
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 2.149e-06
# f(x) = 3600*x^5-256936074*x^4-3431536859963*x^3+200987856242629626*x^2+1210435325098217667053*x-9072699234967636932901362
# g(x) = 7204847802709*x-1009371326210417633152

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

cado log (extracts)
Info:Square Root: Factors: 726216291691785797544163763813827525408624727218926926145057705407205433 865204467593063912287714317822834793
Info:Square Root: Total cpu/real time for sqrt: 206.31/70.1124
Info:Generate Free Relations: Total cpu/real time for freerel: 62.23/20.6556
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11566/31.020/38.175/43.350/1.039
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8849/30.500/33.848/38.690/0.855
Info:Polynomial Selection (size optimized): Total time: 717.96
Info:Quadratic Characters: Total cpu/real time for characters: 10.36/5.09977
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 63.51/84.6982
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 68.89999999999999s
Info:Square Root: Total cpu/real time for sqrt: 206.31/70.1124
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.81/22.4541
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.799999999999997s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 39.54/53.8172
Info:Filtering - Merging: Merged matrix has 274981 rows and total weight 42929433 (156.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 44.62/16.6524
Info:Filtering - Merging: Total cpu/real time for replay: 9.25/7.66468
Info:Generate Factor Base: Total cpu/real time for makefb: 2.3/1.12959
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4806530
Info:Lattice Sieving: Average J: 1910.33 for 56847 special-q, max bucket fill -bkmult 1.0,1s:1.296070
Info:Lattice Sieving: Total time: 7578.45s
Info:Linear Algebra: Total cpu/real time for bwc: 2112.94/817.22
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 539.43, WCT time 246.37, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (8704 iterations)
Info:Linear Algebra: Lingen CPU time 1251.36, WCT time 423.36
Info:Linear Algebra: Mksol: CPU time 300.85,  WCT time 136.3, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (4352 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 219.63
Info:Polynomial Selection (root optimized): Rootsieve time: 218.55
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 14059.1/5184.37
Info:root: Cleaning up computation data in /tmp/cado.l0l1ely7
726216291691785797544163763813827525408624727218926926145057705407205433 865204467593063912287714317822834793

cado-nfs-3.0.0

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

15099464575094297579202740726452848191449005888192188332265395449713214492466775369113954100985199618639337935013<113>

432768358378523731971210799665026332512853<42>
34890407957892915426555012756504743108149163399930259252718471098856721<71>

15099464575094297579202740726452848191449005888192188332265395449713214492466775369113954100985199618639337935013=432768358378523731971210799665026332512853*34890407957892915426555012756504743108149163399930259252718471098856721

cado polynomial
n: 15099464575094297579202740726452848191449005888192188332265395449713214492466775369113954100985199618639337935013
skew: 34730.369
c0: -168147207646290628437707928
c1: -8567614955734742647242
c2: -957465174381300237
c3: 25238002641091
c4: 413462240
c5: 4800
Y0: -10470005293432806693232
Y1: 12816777253049
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.329e-06
# f(x) = 4800*x^5+413462240*x^4+25238002641091*x^3-957465174381300237*x^2-8567614955734742647242*x-168147207646290628437707928
# g(x) = 12816777253049*x-10470005293432806693232

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

cado log (extracts)
Info:Square Root: Factors: 432768358378523731971210799665026332512853 34890407957892915426555012756504743108149163399930259252718471098856721
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21377/32.560/39.904/45.360/1.055
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16438/31.440/35.337/40.350/0.813
Info:Polynomial Selection (size optimized): Total time: 2348.31
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 339.32
Info:Polynomial Selection (root optimized): Rootsieve time: 317.55
Info:Generate Factor Base: Total cpu/real time for makefb: 4.55/0.752997
Info:Generate Free Relations: Total cpu/real time for freerel: 68.12/8.57308
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6433149
Info:Lattice Sieving: Average J: 1898.47 for 89783 special-q, max bucket fill -bkmult 1.0,1s:1.225900
Info:Lattice Sieving: Total time: 18276.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 15.44/25.5184
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 25.099999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 112.68/88.4017
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 82.86/68.269
Info:Filtering - Merging: Merged matrix has 405166 rows and total weight 63117196 (155.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 69.46/10.8008
Info:Filtering - Merging: Total cpu/real time for replay: 12.53/10.1228
Info:Linear Algebra: Total cpu/real time for bwc: 1434.69/376.57
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 227.96, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Linear Algebra: Lingen CPU time 37.77, WCT time 10.27
Info:Linear Algebra: Mksol: WCT time 130.61, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 19.97/4.7034
Info:Square Root: Total cpu/real time for sqrt: 582.16/78.9869
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 53485.1/5595.05
Info:root: Cleaning up computation data in /tmp/cado.g1pjcft4
432768358378523731971210799665026332512853 34890407957892915426555012756504743108149163399930259252718471098856721

cado-nfs-3.0.0

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

68599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599<137>

41711614011877869261680106427318522764855983450337180556474328401<65>
1644602718966730577475530057790654501859137975825040905651106159588996999<73>

Number: n
N=68599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599  ( 137 digits)
SNFS difficulty: 139 digits.
Divisors found:

Sat Nov 26 15:41:41 2022  p65 factor: 41711614011877869261680106427318522764855983450337180556474328401
Sat Nov 26 15:41:41 2022  p73 factor: 1644602718966730577475530057790654501859137975825040905651106159588996999
Sat Nov 26 15:41:41 2022  elapsed time 00:07:05 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.806).
Factorization parameters were as follows:
#
# N = 71x10^138-35 = 78(137)5
#
n: 68599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599
m: 10000000000000000000000000000000000
deg: 4
c4: 1420
c0: -7
skew: 0.26
# Murphy_E = 4.344e-09
type: snfs
lss: 1
rlim: 1460000
alim: 1460000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1460000/1460000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 13530000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 384531 hash collisions in 5892276 relations (6176046 unique)
Msieve: matrix is 214919 x 215144 (71.3 MB)

Sieving start time : 2022/11/26 14:47:58
Sieving end time  : 2022/11/26 15:31:10

Total sieving time: 0hrs 43min 12secs.

Total relation processing time: 0hrs 4min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 14sec.

Prototype def-par.txt line would be:
snfs,139,4,0,0,0,0,0,0,0,0,1460000,1460000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

4624996814791194017599046437053241623121432080017691435394875368796823903929054234172958473295406671300022430886022451613<121>

285675712881199098500112660452279573490209459421111713<54>
16189674537416983527871533221724682118696650483068321039861698802301<68>

4624996814791194017599046437053241623121432080017691435394875368796823903929054234172958473295406671300022430886022451613=285675712881199098500112660452279573490209459421111713*16189674537416983527871533221724682118696650483068321039861698802301

cado polynomial
n: 4624996814791194017599046437053241623121432080017691435394875368796823903929054234172958473295406671300022430886022451613
skew: 15351.647
c0: -274492724795386111832047440
c1: 16953687452819737813930
c2: 3652227094962700757
c3: 256481746758523
c4: -9383267670
c5: -415800
Y0: -297514528052181896608863
Y1: 27582340482070973
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.441e-06
# f(x) = -415800*x^5-9383267670*x^4+256481746758523*x^3+3652227094962700757*x^2+16953687452819737813930*x-274492724795386111832047440
# g(x) = 27582340482070973*x-297514528052181896608863

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: 16189674537416983527871533221724682118696650483068321039861698802301 285675712881199098500112660452279573490209459421111713
Info:Square Root: Total cpu/real time for sqrt: 1095.69/144.839
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): 20322/35.830/43.156/47.850/1.032
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16306/34.510/38.214/43.620/0.871
Info:Polynomial Selection (size optimized): Total time: 3043.08
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2317.37
Info:Polynomial Selection (root optimized): Rootsieve time: 2270.01
Info:Generate Factor Base: Total cpu/real time for makefb: 5.31/0.818888
Info:Generate Free Relations: Total cpu/real time for freerel: 130.15/16.3664
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13426305
Info:Lattice Sieving: Average J: 1901.78 for 262709 special-q, max bucket fill -bkmult 1.0,1s:1.161720
Info:Lattice Sieving: Total time: 52680.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 31.58/40.1691
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 152.67/115.485
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 110.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 60.09/41.8676
Info:Filtering - Merging: Merged matrix has 725040 rows and total weight 73304128 (101.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 50.15/9.29712
Info:Filtering - Merging: Total cpu/real time for replay: 15.95/12.553
Info:Linear Algebra: Total cpu/real time for bwc: 3328.82/876.53
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 530.32, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22784 iterations)
Info:Linear Algebra: Lingen CPU time 78.9, WCT time 21.34
Info:Linear Algebra: Mksol: WCT time 310.0, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11520 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 31.66/7.17808
Info:Square Root: Total cpu/real time for sqrt: 1095.69/144.839
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 133050/15332.5
Info:root: Cleaning up computation data in /tmp/cado.kvbhd0si
16189674537416983527871533221724682118696650483068321039861698802301 285675712881199098500112660452279573490209459421111713

cado-nfs-3.0.0

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

10448859455481972038263428991905813097866077998528329654157468727005150846210448859455481972038263428991905813097866077998528329654157468727<140>

178641934886282216359419374303501781779134005542409538297<57>
58490518825455983798439826461080995222446034173131010826408392791846062670624982191<83>

Number: n
N=10448859455481972038263428991905813097866077998528329654157468727005150846210448859455481972038263428991905813097866077998528329654157468727  ( 140 digits)
SNFS difficulty: 142 digits.
Divisors found:

Sat Nov 26 13:18:23 2022  p57 factor: 178641934886282216359419374303501781779134005542409538297
Sat Nov 26 13:18:23 2022  p83 factor: 58490518825455983798439826461080995222446034173131010826408392791846062670624982191
Sat Nov 26 13:18:23 2022  elapsed time 00:03:21 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.299).
Factorization parameters were as follows:
#
# N = 71x10^141-35 = 78(140)5
#
n: 10448859455481972038263428991905813097866077998528329654157468727005150846210448859455481972038263428991905813097866077998528329654157468727
m: 100000000000000000000000000000000000
deg: 4
c4: 142
c0: -7
skew: 0.47
# Murphy_E = 4.111e-09
type: snfs
lss: 1
rlim: 1640000
alim: 1640000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1640000/1640000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6420000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 528508 hash collisions in 7235280 relations (7497259 unique)
Msieve: matrix is 215718 x 215966 (70.0 MB)

Sieving start time : 2022/11/26 12:57:03
Sieving end time  : 2022/11/26 13:14:50

Total sieving time: 0hrs 17min 47secs.

Total relation processing time: 0hrs 1min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 15sec.

Prototype def-par.txt line would be:
snfs,142,4,0,0,0,0,0,0,0,0,1640000,1640000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3083787054945766602062954454640289014845619541168474887673556553156367902082324127236754976886102722726579710394143985361245824193213<133>

18367132090568113839528906227471401249<38>
361475571688901489551099426237043986425069187<45>
464476855649149598308772542736051321438508438563551<51>

Number: n
N=3083787054945766602062954454640289014845619541168474887673556553156367902082324127236754976886102722726579710394143985361245824193213  ( 133 digits)
SNFS difficulty: 143 digits.
Divisors found:

Sat Nov 26 18:26:35 2022  found factor: 361475571688901489551099426237043986425069187
Sat Nov 26 18:26:55 2022  p38 factor: 18367132090568113839528906227471401249
Sat Nov 26 18:26:55 2022  p45 factor: 361475571688901489551099426237043986425069187
Sat Nov 26 18:26:55 2022  p51 factor: 464476855649149598308772542736051321438508438563551
Sat Nov 26 18:26:55 2022  elapsed time 00:03:06 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.301).
Factorization parameters were as follows:
#
# N = 71x10^142-35 = 78(141)5
#
n: 3083787054945766602062954454640289014845619541168474887673556553156367902082324127236754976886102722726579710394143985361245824193213
m: 100000000000000000000000000000000000
deg: 4
c4: 1420
c0: -7
skew: 0.26
# Murphy_E = 2.74e-09
type: snfs
lss: 1
rlim: 1700000
alim: 1700000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1700000/1700000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 437630 hash collisions in 6159232 relations (6410594 unique)
Msieve: matrix is 268980 x 269205 (90.1 MB)

Sieving start time : 2022/11/26 18:03:28
Sieving end time  : 2022/11/26 18:23:34

Total sieving time: 0hrs 20min 6secs.

Total relation processing time: 0hrs 1min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 30sec.

Prototype def-par.txt line would be:
snfs,143,4,0,0,0,0,0,0,0,0,1700000,1700000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

260017754010194808558075647370560536479063498125734752699153063339331309730605945966100159957602016321<102>

722420906550203351828360707986465196538309736497<48>
359925566456630970595023026820256559555328049234309393<54>

Number: 1
N=260017754010194808558075647370560536479063498125734752699153063339331309730605945966100159957602016321
  ( 102 digits)
Divisors found:
 r1=722420906550203351828360707986465196538309736497 (pp48)
 r2=359925566456630970595023026820256559555328049234309393 (pp54)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.00 hours.
Scaled time: 31.35 units (timescale=7.843).
Factorization parameters were as follows:
name: 1
n: 260017754010194808558075647370560536479063498125734752699153063339331309730605945966100159957602016321
skew: 19752.78
# norm 6.25e+013
c5: 720
c4: 227638126
c3: -1130565590866
c2: -75166385276794259
c1: 190482886644952829122
c0: 3495074344509690302280109
# alpha -5.18
Y1: 9523679957
Y0: -51467019637201359696
# Murphy_E 2.63e-009
# M 13610265767561349384300322223958141728319737951933396623503847613773263859290507481588863936665908211
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 242303 x 242530
Total sieving time: 3.95 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:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 4.00 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

497721696459866806869961444093936207500876270592358920434630213810024535576586049772169645986680686996144409393620750087627059235892043463021381<144>

484526418231214621596593151060030052093<39>
2192863842055016541397276013355719190470291801<46>
468443745451733330808157269842043083689692290796575847200017<60>

Number: n
N=497721696459866806869961444093936207500876270592358920434630213810024535576586049772169645986680686996144409393620750087627059235892043463021381  ( 144 digits)
SNFS difficulty: 147 digits.
Divisors found:

Sat Nov 26 05:34:23 2022  found factor: 468443745451733330808157269842043083689692290796575847200017
Sat Nov 26 05:34:37 2022  p39 factor: 484526418231214621596593151060030052093
Sat Nov 26 05:34:37 2022  p46 factor: 2192863842055016541397276013355719190470291801
Sat Nov 26 05:34:37 2022  p60 factor: 468443745451733330808157269842043083689692290796575847200017
Sat Nov 26 05:34:37 2022  elapsed time 00:04:04 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 71x10^146-35 = 78(145)5
#
n: 497721696459866806869961444093936207500876270592358920434630213810024535576586049772169645986680686996144409393620750087627059235892043463021381
m: 100000000000000000000000000000
deg: 5
c5: 142
c0: -7
skew: 0.55
# Murphy_E = 2.08e-09
type: snfs
lss: 1
rlim: 1980000
alim: 1980000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1980000/1980000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6590000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 915500 hash collisions in 8405278 relations (8040746 unique)
Msieve: matrix is 294162 x 294410 (96.0 MB)

Sieving start time : 2022/11/26 05:13:49
Sieving end time  : 2022/11/26 05:30:10

Total sieving time: 0hrs 16min 21secs.

Total relation processing time: 0hrs 1min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 27sec.

Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1980000,1980000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

7854108838224561535550080075092197165740011740898216088051618418855024902104302749810846344724489596354570643453189303<118>

18380679368444313027443359501060188620118345937<47>
427302423419037658182324220090782847953398938895454565110539159516704519<72>

7854108838224561535550080075092197165740011740898216088051618418855024902104302749810846344724489596354570643453189303=18380679368444313027443359501060188620118345937*427302423419037658182324220090782847953398938895454565110539159516704519

cado polynomial
n: 7854108838224561535550080075092197165740011740898216088051618418855024902104302749810846344724489596354570643453189303
skew: 18533.019
c0: 94086323880797034670868940
c1: -68766527517652004011189
c2: -4579632285766269126
c3: 440974585284045
c4: 5554005650
c5: 33000
Y0: -47673935883545462592374
Y1: 200444819089896317
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.755e-06
# f(x) = 33000*x^5+5554005650*x^4+440974585284045*x^3-4579632285766269126*x^2-68766527517652004011189*x+94086323880797034670868940
# g(x) = 200444819089896317*x-47673935883545462592374

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: 427302423419037658182324220090782847953398938895454565110539159516704519 18380679368444313027443359501060188620118345937
Info:Square Root: Total cpu/real time for sqrt: 157.97/55.0703
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 152.01/196.539
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 183.8s
Info:Square Root: Total cpu/real time for sqrt: 157.97/55.0703
Info:Filtering - Singleton removal: Total cpu/real time for purge: 56.57/68.9885
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.67/67.4177
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 67.3s
Info:Filtering - Merging: Merged matrix has 582295 rows and total weight 58681303 (100.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 42.52/16.6458
Info:Filtering - Merging: Total cpu/real time for replay: 14.08/11.4408
Info:Linear Algebra: Total cpu/real time for bwc: 5968.78/2253.48
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1902.43, WCT time 786.65, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (18432 iterations)
Info:Linear Algebra: Lingen CPU time 2917.49, WCT time 989.02
Info:Linear Algebra: Mksol: CPU time 1095.37,  WCT time 451.55, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (9216 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 127.02/41.0074
Info:Generate Factor Base: Total cpu/real time for makefb: 5.06/2.47098
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13455578
Info:Lattice Sieving: Average J: 1892.55 for 209592 special-q, max bucket fill -bkmult 1.0,1s:1.262070
Info:Lattice Sieving: Total time: 34460.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1105.92
Info:Polynomial Selection (root optimized): Rootsieve time: 1103.3
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): 20149/34.460/42.069/47.350/1.029
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15879/33.850/37.233/42.580/0.820
Info:Polynomial Selection (size optimized): Total time: 2308.87
Info:Quadratic Characters: Total cpu/real time for characters: 17.56/8.75354
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 58366.6/21340.4
Info:root: Cleaning up computation data in /tmp/cado.a8jl6wez
427302423419037658182324220090782847953398938895454565110539159516704519 18380679368444313027443359501060188620118345937

cado-nfs-3.0.0

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

434245991702301563497743490111371471276577338167640420493749427879358858808243963682628229046750932095017497347037080518027537261<129>

266338575166481226313607782457393989180245662309209319<54>
1630428455325578860811055401470757902892621123891420987821371168140044295819<76>

434245991702301563497743490111371471276577338167640420493749427879358858808243963682628229046750932095017497347037080518027537261=266338575166481226313607782457393989180245662309209319*1630428455325578860811055401470757902892621123891420987821371168140044295819

cado polynomial
n: 434245991702301563497743490111371471276577338167640420493749427879358858808243963682628229046750932095017497347037080518027537261
skew: 0.26
type: snfs
c0: -7
c4: 1420
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 1420*x^4-7
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2300000
tasks.lim1 = 2300000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 266338575166481226313607782457393989180245662309209319 1630428455325578860811055401470757902892621123891420987821371168140044295819
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 52.13/17.1658
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Singleton removal: Total cpu/real time for purge: 87.16/68.5034
Info:Filtering - Merging: Merged matrix has 298715 rows and total weight 50865897 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 67.05/18.8651
Info:Filtering - Merging: Total cpu/real time for replay: 8.78/7.6503
Info:Generate Factor Base: Total cpu/real time for makefb: 1.17/0.714983
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11644261
Info:Lattice Sieving: Average J: 1899.66 for 410137 special-q, max bucket fill -bkmult 1.0,1s:1.315620
Info:Lattice Sieving: Total time: 39490.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 95.55/90.7487
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.30000000000001s
Info:Linear Algebra: Total cpu/real time for bwc: 1355.49/395.91
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 840.48, WCT time 226.95, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9472 iterations)
Info:Linear Algebra: Lingen CPU time 33.72, WCT time 34.33
Info:Linear Algebra: Mksol: CPU time 451.82,  WCT time 122.84, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4736 iterations)
Info:Square Root: Total cpu/real time for sqrt: 52.13/17.1658
Info:Generate Free Relations: Total cpu/real time for freerel: 76.31/21.4129
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.96/39.026
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 38.9s
Info:Quadratic Characters: Total cpu/real time for characters: 9.06/3.80961
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 73340/20545.5
Info:root: Cleaning up computation data in /tmp/cado.8l2fnrnk
266338575166481226313607782457393989180245662309209319 1630428455325578860811055401470757902892621123891420987821371168140044295819

cado-nfs-3.0.0

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

61521333689613258939437260198369895383387063511029147829544859366053655016896716827644711040547024866803288150617571270879<122>

10804644424746758931090086665981301542943567<44>
5693971154544052131632847259595935329205956032532868508872402218094482115386737<79>

61521333689613258939437260198369895383387063511029147829544859366053655016896716827644711040547024866803288150617571270879=10804644424746758931090086665981301542943567*5693971154544052131632847259595935329205956032532868508872402218094482115386737

cado polynomial
n: 61521333689613258939437260198369895383387063511029147829544859366053655016896716827644711040547024866803288150617571270879
skew: 247011.591
c0: 654559078741594462600098474735
c1: -5114528126858913819424208
c2: 140514287676329708283
c3: 241550293344056
c4: -1997211510
c5: -900
Y0: -1004641885320619178304656
Y1: 853687827744257
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.180e-06
# f(x) = -900*x^5-1997211510*x^4+241550293344056*x^3+140514287676329708283*x^2-5114528126858913819424208*x+654559078741594462600098474735
# g(x) = 853687827744257*x-1004641885320619178304656

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: 5693971154544052131632847259595935329205956032532868508872402218094482115386737 10804644424746758931090086665981301542943567
Info:Square Root: Total cpu/real time for sqrt: 222.17/65.1479
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): 20074/36.180/43.616/48.080/1.037
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16155/34.680/38.625/44.140/0.873
Info:Polynomial Selection (size optimized): Total time: 2212.18
Info:Linear Algebra: Total cpu/real time for bwc: 6048.11/1577.84
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3688.05, WCT time 960.25, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25088 iterations)
Info:Linear Algebra: Lingen CPU time 147.84, WCT time 37.59
Info:Linear Algebra: Mksol: CPU time 2130.21,  WCT time 551.07, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 24.77/9.64458
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 200.95/195.871
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 160.7s
Info:Square Root: Total cpu/real time for sqrt: 222.17/65.1479
Info:Generate Free Relations: Total cpu/real time for freerel: 126.78/32.3356
Info:Filtering - Singleton removal: Total cpu/real time for purge: 130.15/147.594
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 59.41/60.5953
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 60.00s
Info:Filtering - Merging: Merged matrix has 798985 rows and total weight 80042757 (100.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 59.44/19.3068
Info:Filtering - Merging: Total cpu/real time for replay: 19.47/15.3784
Info:Generate Factor Base: Total cpu/real time for makefb: 5.11/1.41526
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 14051311
Info:Lattice Sieving: Average J: 1941.13 for 335864 special-q, max bucket fill -bkmult 1.0,1s:1.284440
Info:Lattice Sieving: Total time: 40420.3s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1840.79
Info:Polynomial Selection (root optimized): Rootsieve time: 1838.41
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 85737.5/23353
Info:root: Cleaning up computation data in /tmp/cado.yxzmx34v
5693971154544052131632847259595935329205956032532868508872402218094482115386737 10804644424746758931090086665981301542943567

cado-nfs-3.0.0

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

3292983685345984438643830492681539715037853624328921521336849525656483487979152055356001903724886555610513598061903784577682413897851196194064071783<148>

2591217540512293607578429280329063<34>
1270824866635839838871490439632991510611923016982509580995750499941043081788691740891941770725328902027640312285441<115>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3292983685345984438643830492681539715037853624328921521336849525656483487979152055356001903724886555610513598061903784577682413897851196194064071783 (148 digits)
Using B1=25270000, B2=96190324246, polynomial Dickson(12), sigma=1:3864237565
Step 1 took 50372ms
Step 2 took 17781ms
********** Factor found in step 2: 2591217540512293607578429280329063
Found prime factor of 34 digits: 2591217540512293607578429280329063
Prime cofactor 1270824866635839838871490439632991510611923016982509580995750499941043081788691740891941770725328902027640312285441 has 115 digits

175275919247606831362097493482936982811106140616154866401688510736514537791692931688055854153582500527594957465837801870893<123>

1515363305286868291007078531706252137577014725141<49>
115665938746237451741801896151116474462721848917548086591130731148953311673<75>

175275919247606831362097493482936982811106140616154866401688510736514537791692931688055854153582500527594957465837801870893=1515363305286868291007078531706252137577014725141*115665938746237451741801896151116474462721848917548086591130731148953311673

cado polynomial
n: 175275919247606831362097493482936982811106140616154866401688510736514537791692931688055854153582500527594957465837801870893
skew: 47231.469
c0: -598059611734534051588228302
c1: -139062390275344717331617
c2: 22290699127269868188
c3: 135993999531658
c4: -5476107000
c5: -18900
Y0: -720394468875895165667165
Y1: 9340214427039229
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.210e-07
# f(x) = -18900*x^5-5476107000*x^4+135993999531658*x^3+22290699127269868188*x^2-139062390275344717331617*x-598059611734534051588228302
# g(x) = 9340214427039229*x-720394468875895165667165

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

cado log (extracts)
Info:Square Root: Factors: 115665938746237451741801896151116474462721848917548086591130731148953311673 1515363305286868291007078531706252137577014725141
Info:Square Root: Total cpu/real time for sqrt: 251.16/75.6113
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2314.02
Info:Polynomial Selection (root optimized): Rootsieve time: 2311.6
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20250/36.250/43.531/48.000/0.914
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15896/35.410/38.902/44.250/0.859
Info:Polynomial Selection (size optimized): Total time: 1991.54
Info:Quadratic Characters: Total cpu/real time for characters: 27.13/12.3367
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 120.26/104.328
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 94.0s
Info:Square Root: Total cpu/real time for sqrt: 251.16/75.6113
Info:Generate Free Relations: Total cpu/real time for freerel: 127.12/33.0358
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.05/51.5657
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 54.24/59.2564
Info:Filtering - Merging: Merged matrix has 725556 rows and total weight 123662826 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 144.53/41.4466
Info:Filtering - Merging: Total cpu/real time for replay: 26.6/22.0398
Info:Generate Factor Base: Total cpu/real time for makefb: 8.53/2.35418
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11622120
Info:Lattice Sieving: Average J: 3790.96 for 167707 special-q, max bucket fill -bkmult 1.0,1s:1.291350
Info:Lattice Sieving: Total time: 50370.5s
Info:Linear Algebra: Total cpu/real time for bwc: 7796.35/2009.85
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4885.68, WCT time 1252.02, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22784 iterations)
Info:Linear Algebra: Lingen CPU time 127.82, WCT time 32.52
Info:Linear Algebra: Mksol: CPU time 2671.71,  WCT time 684.11, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11520 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 106428/29048.9
Info:root: Cleaning up computation data in /tmp/cado.0ks3v816
115665938746237451741801896151116474462721848917548086591130731148953311673 1515363305286868291007078531706252137577014725141

cado-nfs-3.0.0

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

25520532999743022639592276031682448080202763622596137491450700254808720478964048564011562326481469113864537538296548461652598349403<131>

129945270930409131628886338799687126847040027265856034978734959<63>
196394472973243363023864826480361464773971901146299993521931258088917<69>

25520532999743022639592276031682448080202763622596137491450700254808720478964048564011562326481469113864537538296548461652598349403=129945270930409131628886338799687126847040027265856034978734959*196394472973243363023864826480361464773971901146299993521931258088917

cado polynomial
n: 25520532999743022639592276031682448080202763622596137491450700254808720478964048564011562326481469113864537538296548461652598349403
skew: 0.35
type: snfs
c0: -7
c5: 1420
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 1420*x^5-7
# g(x) = -x+100000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 196394472973243363023864826480361464773971901146299993521931258088917 129945270930409131628886338799687126847040027265856034978734959
Info:Square Root: Total cpu/real time for sqrt: 318.1/97.9418
Info:Generate Free Relations: Total cpu/real time for freerel: 60.04/17.8546
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.56/43.6943
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 43.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 65.06/55.9517
Info:Filtering - Merging: Merged matrix has 530946 rows and total weight 90486278 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 110.6/31.348
Info:Filtering - Merging: Total cpu/real time for replay: 17.21/14.7775
Info:Generate Factor Base: Total cpu/real time for makefb: 1.59/0.954781
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11645583
Info:Lattice Sieving: Average J: 1893.46 for 370971 special-q, max bucket fill -bkmult 1.0,1s:1.232550
Info:Lattice Sieving: Total time: 44028.9s
Info:Linear Algebra: Total cpu/real time for bwc: 4069.17/1094.18
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2535.04, WCT time 675.73, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16640 iterations)
Info:Linear Algebra: Lingen CPU time 97.93, WCT time 25.61
Info:Linear Algebra: Mksol: CPU time 1386.93,  WCT time 371.53, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8320 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 17.11/6.87336
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 106.21/93.0263
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 85.4s
Info:Square Root: Total cpu/real time for sqrt: 318.1/97.9418
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 84956.5/23648.2
Info:root: Cleaning up computation data in /tmp/cado.89ahrkjo
196394472973243363023864826480361464773971901146299993521931258088917 129945270930409131628886338799687126847040027265856034978734959

cado-nfs-3.0.0

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

36789138410533258345472440523561740201909614731222283648530343925592265247510304907843190596063253772330936498164081683356417<125>

3187456674606602688873628386553040330425476468156229<52>
11541847361760231631389914263650925055900481497812012536099714558180127373<74>

36789138410533258345472440523561740201909614731222283648530343925592265247510304907843190596063253772330936498164081683356417=3187456674606602688873628386553040330425476468156229*11541847361760231631389914263650925055900481497812012536099714558180127373

cado polynomial
n: 36789138410533258345472440523561740201909614731222283648530343925592265247510304907843190596063253772330936498164081683356417
skew: 29844.777
c0: 5117452870408175652562762184
c1: -338889468962932574872222
c2: -51949426091603333323
c3: 109447741910643
c4: -6075953892
c5: 277440
Y0: -767004782647246799650425
Y1: 33059053024649501
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.572e-07
# f(x) = 277440*x^5-6075953892*x^4+109447741910643*x^3-51949426091603333323*x^2-338889468962932574872222*x+5117452870408175652562762184
# g(x) = 33059053024649501*x-767004782647246799650425

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

cado log (extracts)
Info:Square Root: Factors: 11541847361760231631389914263650925055900481497812012536099714558180127373 3187456674606602688873628386553040330425476468156229
Info:Square Root: Total cpu/real time for sqrt: 1633.94/247.915
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20027/36.530/44.376/48.620/0.873
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15805/36.580/39.748/45.130/0.960
Info:Polynomial Selection (size optimized): Total time: 2689.85
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2502.06
Info:Polynomial Selection (root optimized): Rootsieve time: 2456.32
Info:Generate Factor Base: Total cpu/real time for makefb: 8.61/1.35934
Info:Generate Free Relations: Total cpu/real time for freerel: 130.24/16.3844
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11764130
Info:Lattice Sieving: Average J: 3772.26 for 206107 special-q, max bucket fill -bkmult 1.0,1s:1.145840
Info:Lattice Sieving: Total time: 92400.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 30.43/72.6374
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 72.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 174.07/138.014
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 127.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 97.05/107.987
Info:Filtering - Merging: Merged matrix has 814049 rows and total weight 138987247 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 162.57/24.4804
Info:Filtering - Merging: Total cpu/real time for replay: 27.73/22.4336
Info:Linear Algebra: Total cpu/real time for bwc: 6640.43/1732.69
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1080.56, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25600 iterations)
Info:Linear Algebra: Lingen CPU time 79.79, WCT time 21.65
Info:Linear Algebra: Mksol: WCT time 603.79, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 39.75/9.80092
Info:Square Root: Total cpu/real time for sqrt: 1633.94/247.915
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 213721/153.17
11541847361760231631389914263650925055900481497812012536099714558180127373 3187456674606602688873628386553040330425476468156229

cado-nfs-3.0.0

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

282104570585034587483966341218251967993725614241063849498431570163927731785160104401999248978609820305195807369553124730555937506892519728057748137603<150>

286367869161132595644609340648467457196945862000390640532492040525903572821<75>
985112510741562460787806754755897659491593363195780225619729738612825460343<75>

Number: 78885_165
N = 282104570585034587483966341218251967993725614241063849498431570163927731785160104401999248978609820305195807369553124730555937506892519728057748137603 (150 digits)
SNFS difficulty: 167 digits.
Divisors found:
r1=286367869161132595644609340648467457196945862000390640532492040525903572821 (pp75)
r2=985112510741562460787806754755897659491593363195780225619729738612825460343 (pp75)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 1.38 hours.
Factorization parameters were as follows:
n: 282104570585034587483966341218251967993725614241063849498431570163927731785160104401999248978609820305195807369553124730555937506892519728057748137603
m: 10000000000000000000000000000000000000000000000000000000
deg: 3
c3: 71
c0: -35
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 8361367
Relations: 1336388 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 0.62 hours.
Total relation processing time: 0.08 hours.
Pruned matrix : 1179281 x 1179506
Matrix solve time: 0.63 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: snfs,167,3,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 1.38 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

5617072359486411825957041130979116378531881885075257225109562803854022077934187981600331670042176984916888882764250784544941604205060848825268273831<148>

361526863102024854319305938855104663294823281<45>
15537081563704557530688693343401650693916063252651287914843329415069415493446715544360804418015876166551<104>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 5617072359486411825957041130979116378531881885075257225109562803854022077934187981600331670042176984916888882764250784544941604205060848825268273831 (148 digits)
Using B1=32090000, B2=144291357226, polynomial Dickson(12), sigma=1:3079107631
Step 1 took 63095ms
Step 2 took 22390ms
********** Factor found in step 2: 361526863102024854319305938855104663294823281
Found prime factor of 45 digits: 361526863102024854319305938855104663294823281
Prime cofactor 15537081563704557530688693343401650693916063252651287914843329415069415493446715544360804418015876166551 has 104 digits

2427587919441279056233456011116373168430138427918199962971376729845363011644278354232828126741000989327970129136821<115>

6738519948470500092547108175431484409116138067812792873<55>
360255358447412416377602573240789290294405730629404369807277<60>

Number: 78885_168
N = 2427587919441279056233456011116373168430138427918199962971376729845363011644278354232828126741000989327970129136821 (115 digits)
Divisors found:
r1=6738519948470500092547108175431484409116138067812792873 (pp55)
r2=360255358447412416377602573240789290294405730629404369807277 (pp60)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 5.13 hours.
Factorization parameters were as follows:
n: 2427587919441279056233456011116373168430138427918199962971376729845363011644278354232828126741000989327970129136821
# norm 5.315371e-11 alpha -5.939143 e 4.911e-10 rroots 3
skew: 331025.56
c0: -137266922546782286050798463565
c1: 1606057770824516127935263
c2: 21203093644589985285
c3: -68996198621307
c4: 61631036
c5: 168
Y0: -27037891415311826868712
Y1: 269498139503
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 8219366
Relations: 714726 relations
Pruned matrix : 424809 x 425034
Polynomial selection time: 0.02 hours.
Total sieving time: 4.92 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.11 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,114,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 5.13 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 2, speed: 2.99GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

2155578397310698704427076994697053619130299503409253741344473514221365307147224111083640388570566085787454889230745768583882131826157979333261529261433<151>

172173930833074130544696611582959895366348021914450339<54>
12519772226148292848464033838364675697326953295084526405283216348469720637446688726338955790634547<98>

2155578397310698704427076994697053619130299503409253741344473514221365307147224111083640388570566085787454889230745768583882131826157979333261529261433=172173930833074130544696611582959895366348021914450339*12519772226148292848464033838364675697326953295084526405283216348469720637446688726338955790634547

cado polynomial
n: 2155578397310698704427076994697053619130299503409253741344473514221365307147224111083640388570566085787454889230745768583882131826157979333261529261433
skew: 0.14
type: snfs
c0: -7
c5: 142000
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 142000*x^5-7
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4800000
tasks.lim1 = 4800000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 172173930833074130544696611582959895366348021914450339 12519772226148292848464033838364675697326953295084526405283216348469720637446688726338955790634547
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 506.87/154.916
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Singleton removal: Total cpu/real time for purge: 103.97/95.72
Info:Filtering - Merging: Merged matrix has 878600 rows and total weight 149828428 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 217.09/61.6634
Info:Filtering - Merging: Total cpu/real time for replay: 31.47/28.4408
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12080361
Info:Lattice Sieving: Average J: 1893.55 for 574829 special-q, max bucket fill -bkmult 1.0,1s:1.223390
Info:Lattice Sieving: Total time: 70702.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 167.17/179.777
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 131.0s
Info:Linear Algebra: Total cpu/real time for bwc: 12971.8/3622.19
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 8229.43, WCT time 2220.13, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27648 iterations)
Info:Linear Algebra: Lingen CPU time 114.01, WCT time 116.69
Info:Linear Algebra: Mksol: CPU time 4463.55,  WCT time 1223.33, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (13824 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.07/1.34319
Info:Generate Free Relations: Total cpu/real time for freerel: 63.43/20.2379
Info:Square Root: Total cpu/real time for sqrt: 506.87/154.916
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.67/44.4912
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 44.099999999999994s
Info:Quadratic Characters: Total cpu/real time for characters: 31.65/14.8393
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 142694/39548.4
Info:root: Cleaning up computation data in /tmp/cado.8q9km0l8
172173930833074130544696611582959895366348021914450339 12519772226148292848464033838364675697326953295084526405283216348469720637446688726338955790634547

cado-nfs-3.0.0

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

472336519946179540000346328345282830632519026000668404518111309817846210791490980610412379376446266253672976017541606552398259880801453245465759575766053107<156>

374395515327725497983797609539812076707783828314701<51>
1261597697111093348592599988398774574914007876344367932038291157113754433835936360211537607118060027910207<106>

Number: n
N=472336519946179540000346328345282830632519026000668404518111309817846210791490980610412379376446266253672976017541606552398259880801453245465759575766053107  ( 156 digits)
SNFS difficulty: 171 digits.
Divisors found:

Wed Nov 30 02:01:34 2022  p51 factor: 374395515327725497983797609539812076707783828314701
Wed Nov 30 02:01:34 2022  p106 factor: 1261597697111093348592599988398774574914007876344367932038291157113754433835936360211537607118060027910207
Wed Nov 30 02:01:34 2022  elapsed time 00:13:10 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.299).
Factorization parameters were as follows:
#
# N = 71x10^170-35 = 78(169)5
#
n: 472336519946179540000346328345282830632519026000668404518111309817846210791490980610412379376446266253672976017541606552398259880801453245465759575766053107
m: 10000000000000000000000000000000000
deg: 5
c5: 71
c0: -35
skew: 0.87
# Murphy_E = 1.768e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 22550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1689452 hash collisions in 13993826 relations (13105479 unique)
Msieve: matrix is 745033 x 745258 (257.3 MB)

Sieving start time : 2022/11/29 23:44:26
Sieving end time  : 2022/11/30 01:47:45

Total sieving time: 2hrs 3min 19secs.

Total relation processing time: 0hrs 8min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 26sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3580531644941784626225221399655959006376815870412414705685866023519901308832491453095880006599627136621876572009521748428102705564619008770487183644366226633<157>

1499866782962891374393123183308471762259066776789245575610720612563560791<73>
2387233110042394722426574860705886505883800170631252428122526144422811403009901104863<85>

Number: n
N=3580531644941784626225221399655959006376815870412414705685866023519901308832491453095880006599627136621876572009521748428102705564619008770487183644366226633  ( 157 digits)
SNFS difficulty: 172 digits.
Divisors found:

Mon Nov 28 09:54:08 2022  p73 factor: 1499866782962891374393123183308471762259066776789245575610720612563560791
Mon Nov 28 09:54:08 2022  p85 factor: 2387233110042394722426574860705886505883800170631252428122526144422811403009901104863
Mon Nov 28 09:54:08 2022  elapsed time 00:12:11 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 71x10^171-35 = 78(170)5
#
n: 3580531644941784626225221399655959006376815870412414705685866023519901308832491453095880006599627136621876572009521748428102705564619008770487183644366226633
m: 10000000000000000000000000000000000
deg: 5
c5: 142
c0: -7
skew: 0.55
# Murphy_E = 2.24e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 22600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1387224 hash collisions in 13972903 relations (13468266 unique)
Msieve: matrix is 742065 x 742290 (257.5 MB)

Sieving start time : 2022/11/28 07:32:36
Sieving end time  : 2022/11/28 09:41:24

Total sieving time: 2hrs 8min 48secs.

Total relation processing time: 0hrs 8min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 43sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

79232073855648831646505797472481290712025483517381867720574081878751821038743468545650889360662756711229374989127050523458042674786344817<137>

718022097377540679627699405820722943<36>
110347681700926946405378926604025969445498979634582602765498894406038694408720417546119852954380882319<102>

79232073855648831646505797472481290712025483517381867720574081878751821038743468545650889360662756711229374989127050523458042674786344817=718022097377540679627699405820722943*110347681700926946405378926604025969445498979634582602765498894406038694408720417546119852954380882319

cado polynomial
n: 79232073855648831646505797472481290712025483517381867720574081878751821038743468545650889360662756711229374989127050523458042674786344817
skew: 0.14
type: snfs
c0: -7
c5: 142000
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 142000*x^5-7
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5800000
tasks.lim1 = 5800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
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: 718022097377540679627699405820722943 110347681700926946405378926604025969445498979634582602765498894406038694408720417546119852954380882319
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 442.08/134.942
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Singleton removal: Total cpu/real time for purge: 139.26/118.978
Info:Filtering - Merging: Merged matrix has 864613 rows and total weight 147215547 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 227.44/63.8429
Info:Filtering - Merging: Total cpu/real time for replay: 28.75/31.1542
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22440760
Info:Lattice Sieving: Average J: 1893.41 for 1085408 special-q, max bucket fill -bkmult 1.0,1s:1.226670
Info:Lattice Sieving: Total time: 160463s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 202.8/164.312
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 138.1s
Info:Linear Algebra: Total cpu/real time for bwc: 12384.4/3466.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7855.3, WCT time 2121.43, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27136 iterations)
Info:Linear Algebra: Lingen CPU time 111.5, WCT time 114.02
Info:Linear Algebra: Mksol: CPU time 4255.87,  WCT time 1163.44, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (13568 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.49/1.56245
Info:Generate Free Relations: Total cpu/real time for freerel: 127.16/36.1995
Info:Square Root: Total cpu/real time for sqrt: 442.08/134.942
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 87.36/90.2403
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 89.8s
Info:Quadratic Characters: Total cpu/real time for characters: 28.17/13.4298
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 307037/84527.8
Info:root: Cleaning up computation data in /tmp/cado.2bbphvfx
718022097377540679627699405820722943 110347681700926946405378926604025969445498979634582602765498894406038694408720417546119852954380882319

cado-nfs-3.0.0

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

9561592577124744097132323029732997482180508868325176703008770550858643458852268602110720022703182796658225080430071475049991309<127>

202720109880667788270635372764510173179127613522921342867<57>
47166472940219022338542963220103742408322318729642392580031470684581727<71>

9561592577124744097132323029732997482180508868325176703008770550858643458852268602110720022703182796658225080430071475049991309=202720109880667788270635372764510173179127613522921342867*47166472940219022338542963220103742408322318729642392580031470684581727

cado polynomial
n: 9561592577124744097132323029732997482180508868325176703008770550858643458852268602110720022703182796658225080430071475049991309
skew: 43177.015
c0: 53848649178437867368140871800
c1: -362854373582977048610580
c2: -88656287184534133211
c3: -113135764296817
c4: 13875628194
c5: 371880
Y0: -2192110577263941080587819
Y1: 937701137452207463
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.221e-07
# f(x) = 371880*x^5+13875628194*x^4-113135764296817*x^3-88656287184534133211*x^2-362854373582977048610580*x+53848649178437867368140871800
# g(x) = 937701137452207463*x-2192110577263941080587819

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

cado log (extracts)
Info:Square Root: Factors: 47166472940219022338542963220103742408322318729642392580031470684581727 202720109880667788270635372764510173179127613522921342867
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 348.3/104.956
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.57/50.1957
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.6s
Info:Quadratic Characters: Total cpu/real time for characters: 32.32/13.6165
Info:Filtering - Singleton removal: Total cpu/real time for purge: 143.69/136.68
Info:Filtering - Merging: Merged matrix has 851320 rows and total weight 145309387 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 192.9/54.4705
Info:Filtering - Merging: Total cpu/real time for replay: 31.47/30.9202
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12308699
Info:Lattice Sieving: Average J: 3795.83 for 268605 special-q, max bucket fill -bkmult 1.0,1s:1.206890
Info:Lattice Sieving: Total time: 76400.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 217.45/228.607
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 173.99999999999997s
Info:Linear Algebra: Total cpu/real time for bwc: 12247.2/3276.94
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7765.74, WCT time 2011.57, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26624 iterations)
Info:Linear Algebra: Lingen CPU time 109.63, WCT time 112.15
Info:Linear Algebra: Mksol: CPU time 4211.93,  WCT time 1092.19, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (13312 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3021.75
Info:Polynomial Selection (root optimized): Rootsieve time: 3019.28
Info:Generate Factor Base: Total cpu/real time for makefb: 8.06/2.18428
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21547.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 14778/37.730/45.270/48.990/0.859
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11747/37.310/40.575/46.070/0.990
Info:Polynomial Selection (size optimized): Total time: 1792.02
Info:Generate Free Relations: Total cpu/real time for freerel: 125.53/34.1409
Info:Square Root: Total cpu/real time for sqrt: 348.3/104.956
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 160847/43400.5
Info:root: Cleaning up computation data in /tmp/cado.7v_iv13a
47166472940219022338542963220103742408322318729642392580031470684581727 202720109880667788270635372764510173179127613522921342867

cado-nfs-3.0.0

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

4237606462841630194898042126640884463747363889529582126184853883177569571662084931335835753126536009677221946943646153256500183420782832886570222478310311062361<160>

18418129485195665099852386636802733536241159790902928200276651764757739<71>
230078003645689537258721824361202556684495977488094723040342999332463209280294299400445899<90>

Number: n
N=4237606462841630194898042126640884463747363889529582126184853883177569571662084931335835753126536009677221946943646153256500183420782832886570222478310311062361  ( 160 digits)
SNFS difficulty: 177 digits.
Divisors found:

Fri Dec  2 16:03:33 2022  p71 factor: 18418129485195665099852386636802733536241159790902928200276651764757739
Fri Dec  2 16:03:33 2022  p90 factor: 230078003645689537258721824361202556684495977488094723040342999332463209280294299400445899
Fri Dec  2 16:03:33 2022  elapsed time 00:15:05 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.356).
Factorization parameters were as follows:
#
# N = 71x10^176-35 = 78(175)5
#
n: 4237606462841630194898042126640884463747363889529582126184853883177569571662084931335835753126536009677221946943646153256500183420782832886570222478310311062361
m: 100000000000000000000000000000000000
deg: 5
c5: 142
c0: -7
skew: 0.55
# Murphy_E = 1.414e-10
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1735154 hash collisions in 13761633 relations (12789697 unique)
Msieve: matrix is 822664 x 822890 (285.8 MB)

Sieving start time : 2022/12/02 14:36:10
Sieving end time  : 2022/12/02 15:48:02

Total sieving time: 1hrs 11min 52secs.

Total relation processing time: 0hrs 9min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 47sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6300000,6300000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

114668216853757930522990163933732767376815660824445350192291116680932095838803761561450376690346311936378786977092143164080545845309<132>

27358189147923992420292586167143659027<38>
2150127225100706345756562791878135818684179<43>
1949357767607223564121587817673331632029779017723573<52>

New best polynomial is:
n: 114668216853757930522990163933732767376815660824445350192291116680932095838803761561450376690346311936378786977092143164080545845309
skew: 328286.002
c0: 113004568180088324334197117100016
c1: 55581620498950748656221740
c2: -6430445446852621044624
c3: 1481383041899311
c4: 20283498122
c5: 15180
Y0: -2378534329654831815536733
Y1: 64057107241659920701
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=2.181e+13) = 1.703e-06
# f(x) = 15180*x^5+20283498122*x^4+1481383041899311*x^3-6430445446852621044624*
      x^2+55581620498950748656221740*
        x+113004568180088324334197117100016
# g(x) = 64057107241659920701*x-2378534329654831815536733

Factors:
    27358189147923992420292586167143659027
        2150127225100706345756562791878135818684179 1949357767607223564121587817673331632029779017723573
        
Total cpu/elapsed time for entire Complete Factorization 301295/43090.9

CADO-NFS v3.0.0

Ubuntu 20.04.4 LTS, Intel Xeon E5-1620

1720466973464956000557266094240172977139306213318433521764715712335916996154125409564639596885092981714687189591570241016554047104438899878803669891498029906963<160>

6781504567600504313433182114207021708912587498324096022833<58>
253699891567529799077614314866939680715470427144014789480578091338318947753872140820299374995962132611<102>

Number: n
N=1720466973464956000557266094240172977139306213318433521764715712335916996154125409564639596885092981714687189591570241016554047104438899878803669891498029906963  ( 160 digits)
SNFS difficulty: 179 digits.
Divisors found:

Tue Dec  6 08:01:44 2022  p58 factor: 6781504567600504313433182114207021708912587498324096022833
Tue Dec  6 08:01:44 2022  p102 factor: 253699891567529799077614314866939680715470427144014789480578091338318947753872140820299374995962132611
Tue Dec  6 08:01:44 2022  elapsed time 00:21:20 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 71x10^178-35 = 78(177)5
#
n: 1720466973464956000557266094240172977139306213318433521764715712335916996154125409564639596885092981714687189591570241016554047104438899878803669891498029906963
m: 100000000000000000000000000000000000
deg: 5
c5: 14200
c0: -7
skew: 0.22
# Murphy_E = 7.458e-11
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 23400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2687343 hash collisions in 14948971 relations (12833450 unique)
Msieve: matrix is 1022015 x 1022241 (351.8 MB)

Sieving start time : 2022/12/06 04:45:14
Sieving end time  : 2022/12/06 07:39:57

Total sieving time: 2hrs 54min 43secs.

Total relation processing time: 0hrs 16min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 21sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6800000,6800000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

891550984787126506061918843746272123963258053781871378074124302298569123454697280769496399264156511147526573870021912062935965292296873920877989364173463173293653035982244322641<177>

24666499789208534687795660584673250094573954636403<50>
36144203369185579502355832424204500924953864549655164300493968840853585692036776364612256609643858107775028502788178501007483947<128>

Number: n
N=891550984787126506061918843746272123963258053781871378074124302298569123454697280769496399264156511147526573870021912062935965292296873920877989364173463173293653035982244322641  ( 177 digits)
SNFS difficulty: 182 digits.
Divisors found:

Sun Dec  4 22:48:30 2022  p50 factor: 24666499789208534687795660584673250094573954636403
Sun Dec  4 22:48:30 2022  p128 factor: 36144203369185579502355832424204500924953864549655164300493968840853585692036776364612256609643858107775028502788178501007483947
Sun Dec  4 22:48:30 2022  elapsed time 00:14:23 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.297).
Factorization parameters were as follows:
#
# N = 71x10^181-35 = 78(180)5
#
n: 891550984787126506061918843746272123963258053781871378074124302298569123454697280769496399264156511147526573870021912062935965292296873920877989364173463173293653035982244322641
m: 1000000000000000000000000000000000000
deg: 5
c5: 142
c0: -7
skew: 0.55
# Murphy_E = 8.887e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 9400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1303204 hash collisions in 12541792 relations (11994941 unique)
Msieve: matrix is 834039 x 834264 (289.6 MB)

Sieving start time : 2022/12/04 20:10:54
Sieving end time  : 2022/12/04 22:33:43

Total sieving time: 2hrs 22min 49secs.

Total relation processing time: 0hrs 10min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 58sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7600000,7600000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

237474245224390194715921843169191082556714042944173641453791691518873683262231353501555955154718006787178753854924986452324023597941143961169<141>

11520805078530419524762147596698829255654991607704373<53>
20612643266305668006591050231776854128530819353428461044492160211050067048887254104247853<89>

237474245224390194715921843169191082556714042944173641453791691518873683262231353501555955154718006787178753854924986452324023597941143961169=11520805078530419524762147596698829255654991607704373*20612643266305668006591050231776854128530819353428461044492160211050067048887254104247853

cado polynomial
n: 237474245224390194715921843169191082556714042944173641453791691518873683262231353501555955154718006787178753854924986452324023597941143961169
skew: 0.22
type: snfs
c0: -7
c5: 14200
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 14200*x^5-7
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8200000
tasks.lim1 = 8200000
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: 11520805078530419524762147596698829255654991607704373 20612643266305668006591050231776854128530819353428461044492160211050067048887254104247853
Info:Square Root: Total cpu/real time for sqrt: 550.47/176.529
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 414.09/441.958
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 366.5000000000001s
Info:Square Root: Total cpu/real time for sqrt: 550.47/176.529
Info:Generate Free Relations: Total cpu/real time for freerel: 120.15/31.4239
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 102.64/106.145
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.19999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 281.85/273.04
Info:Filtering - Merging: Merged matrix has 1766877 rows and total weight 302415984 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 457.05/128.395
Info:Filtering - Merging: Total cpu/real time for replay: 66.8/61.3275
Info:Generate Factor Base: Total cpu/real time for makefb: 3.48/1.96528
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24356188
Info:Lattice Sieving: Average J: 1893.49 for 1721096 special-q, max bucket fill -bkmult 1.0,1s:1.177980
Info:Lattice Sieving: Total time: 293214s
Info:Linear Algebra: Total cpu/real time for bwc: 52810.7/14029.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 33854.31, WCT time 8926.45, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55296 iterations)
Info:Linear Algebra: Lingen CPU time 359.81, WCT time 93.33
Info:Linear Algebra: Mksol: CPU time 18268.04,  WCT time 4880.22, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27648 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 63.91/27.7522
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 596293/161729
Info:root: Cleaning up computation data in /tmp/cado._lx5ydi8
11520805078530419524762147596698829255654991607704373 20612643266305668006591050231776854128530819353428461044492160211050067048887254104247853

cado-nfs-3.0.0

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

33549648974871092280448860251219568669074281904101889719972855748153876568530591971784175142375100139699929350404764904696144617720969884959054220134292477690243483<164>

643000329110947476837633193688624050571<39>
10349250231529538644568915675650360157704677110541271456594511<62>
5041594332311237661048772109198634554025384814323532635884802943<64>

Number: n
N=52176721310950086156703324676305698452767786855036100040118974919058898404543879225703909510526900998029917578123205090445873  ( 125 digits)
Divisors found:

Fri Dec  9 23:37:56 2022  p62 factor: 10349250231529538644568915675650360157704677110541271456594511
Fri Dec  9 23:37:56 2022  p64 factor: 5041594332311237661048772109198634554025384814323532635884802943
Fri Dec  9 23:37:56 2022  elapsed time 00:09:16 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 71x10^185-35 = 78(184)5
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 33549648974871092280448860251219568669074281904101889719972855748153876568530591971784175142375100139699929350404764904696144617720969884959054220134292477690243483 (164 digits)
# Using B1=27130000, B2=144286522396, polynomial Dickson(12), sigma=1:226516333
# Step 1 took 64672ms
# Step 2 took 24689ms
# ********** Factor found in step 2: 643000329110947476837633193688624050571
# Found prime factor of 39 digits: 643000329110947476837633193688624050571
# Composite cofactor 52176721310950086156703324676305698452767786855036100040118974919058898404543879225703909510526900998029917578123205090445873 has 125 digits
#

n: 52176721310950086156703324676305698452767786855036100040118974919058898404543879225703909510526900998029917578123205090445873

Y0: -3370191897807297083380146
Y1: 50046750791831
c0: 94217376184791690621965381478799
c1: 226991096425817100355550222
c2: -357824920321299938603
c3: -557477753186498
c4: 416599048
c5: 120

# skew 1081234.38, size 4.956e-12, alpha -5.781, combined = 1.500e-10 rroots = 5

skew: 1081234.38

type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1191290 hash collisions in 6674646 relations (5586659 unique)
Msieve: matrix is 615465 x 615690 (219.6 MB)

Sieving start time : 2022/12/09 22:26:49
Sieving end time  : 2022/12/09 23:28:24

Total sieving time: 1hrs 1min 35secs.

Total relation processing time: 0hrs 5min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 51sec.

Prototype def-par.txt line would be:
gnfs,124,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,26,26,50,50,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

308202015788361080266428575631050914795395209357574457710495930569644002120592354014094551275327707112882247029357557509020837832076843697534405583630280159<156>

1164535734077973866123553805167668350552821525244889876743<58>
264656555199983915188766635278228039103862577458203502152005565953698737748361178017112152580177513<99>

Number: n
N=308202015788361080266428575631050914795395209357574457710495930569644002120592354014094551275327707112882247029357557509020837832076843697534405583630280159  ( 156 digits)
SNFS difficulty: 187 digits.
Divisors found:

Thu Dec  8 05:57:16 2022  p58 factor: 1164535734077973866123553805167668350552821525244889876743
Thu Dec  8 05:57:16 2022  p99 factor: 264656555199983915188766635278228039103862577458203502152005565953698737748361178017112152580177513
Thu Dec  8 05:57:16 2022  elapsed time 00:22:28 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 71x10^186-35 = 78(185)5
#
n: 308202015788361080266428575631050914795395209357574457710495930569644002120592354014094551275327707112882247029357557509020837832076843697534405583630280159
m: 10000000000000000000000000000000000000
deg: 5
c5: 142
c0: -7
skew: 0.55
# Murphy_E = 5.56e-11
type: snfs
lss: 1
rlim: 9200000
alim: 9200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 17400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1572760 hash collisions in 13757612 relations (12994418 unique)
Msieve: matrix is 1057660 x 1057885 (368.4 MB)

Sieving start time : 2022/12/08 01:52:28
Sieving end time  : 2022/12/08 05:34:09

Total sieving time: 3hrs 41min 41secs.

Total relation processing time: 0hrs 17min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 11sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9200000,9200000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2207067221189638370521537802976533710092299286204762438706397941953546982510018345548679215501582881269386895135620093156521344441193608343293369277<148>

164485413934101880661208978303791929710777407229408881<54>
13418011776253061027297929964028306686161756132608408643495315483930696609539064687909844834317<95>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2207067221189638370521537802976533710092299286204762438706397941953546982510018345548679215501582881269386895135620093156521344441193608343293369277 (148 digits)
Using B1=35500000, B2=192388936756, polynomial Dickson(12), sigma=1:1286534308
Step 1 took 72011ms
Step 2 took 27626ms
********** Factor found in step 2: 164485413934101880661208978303791929710777407229408881
Found prime factor of 54 digits: 164485413934101880661208978303791929710777407229408881
Prime cofactor 13418011776253061027297929964028306686161756132608408643495315483930696609539064687909844834317 has 95 digits

75607500930865308498490434240440038909734859260593366036952136220606190798498482973057971417673340568088374976697056064991149721116538794168235018216605316911455266093926099328925089<182>

1495402293095788159086480950792192049177185785051<49>
50559973914673047564829035146541853703503594229907534898068635498875339460334059811582578710597923939296739146098088879487535792153139<134>

Number: n
N=75607500930865308498490434240440038909734859260593366036952136220606190798498482973057971417673340568088374976697056064991149721116538794168235018216605316911455266093926099328925089  ( 182 digits)
SNFS difficulty: 192 digits.
Divisors found:

Sat Dec 10 21:01:41 2022  p49 factor: 1495402293095788159086480950792192049177185785051
Sat Dec 10 21:01:41 2022  p134 factor: 50559973914673047564829035146541853703503594229907534898068635498875339460334059811582578710597923939296739146098088879487535792153139
Sat Dec 10 21:01:41 2022  elapsed time 00:34:30 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.302).
Factorization parameters were as follows:
#
# N = 71x10^191-35 = 78(190)5
#
n: 75607500930865308498490434240440038909734859260593366036952136220606190798498482973057971417673340568088374976697056064991149721116538794168235018216605316911455266093926099328925089
m: 100000000000000000000000000000000000000
deg: 5
c5: 142
c0: -7
skew: 0.55
# Murphy_E = 3.464e-11
type: snfs
lss: 1
rlim: 11200000
alim: 11200000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 18400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2083340 hash collisions in 15924968 relations (14741507 unique)
Msieve: matrix is 1270245 x 1270471 (442.4 MB)

Sieving start time : 2022/12/10 15:15:04
Sieving end time  : 2022/12/10 20:26:44

Total sieving time: 5hrs 11min 40secs.

Total relation processing time: 0hrs 27min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 55sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11200000,11200000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

284850212309345106877272552107979154201909438328744378823880962659174014305203244876379763752191268041346113608310013<117>

6616966573041495086301380570822038637<37>
43048458710652580981072549402588941889265205505501939393478553640645049513226449<80>

Number: 1
N=284850212309345106877272552107979154201909438328744378823880962659174014305203244876379763752191268041346113608310013
  ( 117 digits)
Divisors found:
 r1=6616966573041495086301380570822038637 (pp37)
 r2=43048458710652580981072549402588941889265205505501939393478553640645049513226449 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 21.73 hours.
Scaled time: 170.04 units (timescale=7.825).
Factorization parameters were as follows:
name: 1
n: 284850212309345106877272552107979154201909438328744378823880962659174014305203244876379763752191268041346113608310013
skew: 182392.98
# norm 4.18e+016
c5: 4320
c4: 273565840
c3: -673590949495608
c2: 4506615005983050288
c1: -1804909543100383431810964
c0: -30213459917720624123699348025
# alpha -6.33
Y1: 1815799889783
Y0: -36629103339345519667723
# Murphy_E 3.93e-010
# M 52551342462492239292364875110285830971259624884450657823863386923815719016786446890556195229397372813367825619947230
type: gnfs
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1800000, 3200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 595665 x 595892
Total sieving time: 21.59 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3600000,3600000,27,27,53,53,2.5,2.5,100000
total time: 21.73 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

76980510847977637983198520960726849980849184553142210361745410783921382131214770346735213628938567771341822066844649989251073768326615427193782858627652467546903257939<167>

3821694286113849656618753436281613314189<40>
20143032143540840171326012582400348566865544797495181255017891959706077002726609479599151914177216302023008345149862919070118751<128>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2559273968
Step 1 took 7784ms
********** Factor found in step 1: 3821694286113849656618753436281613314189
Found prime factor of 40 digits: 3821694286113849656618753436281613314189
Prime cofactor 20143032143540840171326012582400348566865544797495181255017891959706077002726609479599151914177216302023008345149862919070118751 has 128 digits

64133060673300051674190447095318011129122157762506390034465691883563595655132968099888568422353796377799617733208863764090345880230096939868007652025376560433<158>

993030682388855861744376640052731597802658942549469155894814789557334124184467<78>
64583161236287471384975657178484795484054450540321930815055937744657185751254699<80>

64133060673300051674190447095318011129122157762506390034465691883563595655132968099888568422353796377799617733208863764090345880230096939868007652025376560433=993030682388855861744376640052731597802658942549469155894814789557334124184467*64583161236287471384975657178484795484054450540321930815055937744657185751254699

cado polynomial
n: 64133060673300051674190447095318011129122157762506390034465691883563595655132968099888568422353796377799617733208863764090345880230096939868007652025376560433
skew: 0.89
type: snfs
c0: -35
c6: 71
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 71*x^6-35
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15000000
tasks.lim1 = 15000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 993030682388855861744376640052731597802658942549469155894814789557334124184467 64583161236287471384975657178484795484054450540321930815055937744657185751254699
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2747.3/149.688
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Factor Base: Total cpu/real time for makefb: 3.38/0.417971
Info:Square Root: Total cpu/real time for sqrt: 2747.3/149.688
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 102.69/72.8855
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 72.4s
Info:Quadratic Characters: Total cpu/real time for characters: 59.7/11.574
Info:Generate Free Relations: Total cpu/real time for freerel: 95.61/6.77487
Info:Filtering - Singleton removal: Total cpu/real time for purge: 335.74/237.192
Info:Filtering - Merging: Merged matrix has 2256193 rows and total weight 386085262 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 512.73/29.9669
Info:Filtering - Merging: Total cpu/real time for replay: 41.53/36.4845
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25539557
Info:Lattice Sieving: Average J: 3792.25 for 1554579 special-q, max bucket fill -bkmult 1.0,1s:1.185800
Info:Lattice Sieving: Total time: 481117s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 447.71/318.94
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 239.9s
Info:Linear Algebra: Total cpu/real time for bwc: 70516.9/8832.04
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 46447.05, WCT time 5802.92, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.04, comm-wait 0.0 (70656 iterations)
Info:Linear Algebra: Lingen CPU time 401.26, WCT time 26.0
Info:Linear Algebra: Mksol: CPU time 23232.18,  WCT time 2951.01, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.04, comm-wait 0.0 (35328 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 985748/49516.5
Info:root: Cleaning up computation data in /tmp/cado.s6tu2k3s
993030682388855861744376640052731597802658942549469155894814789557334124184467 64583161236287471384975657178484795484054450540321930815055937744657185751254699

cado-nfs-3.0.0

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

494840489954360806961811155691654969555698739814018257630855081469568650817771242856980889336133008999168159132876119925626389614888975477<138>

13536654879499683819139777670425482873312086836109<50>
36555596220729693542429665084093180240174216980860475102187812929587403828125539179081353<89>

Number: 78885_204
N = 494840489954360806961811155691654969555698739814018257630855081469568650817771242856980889336133008999168159132876119925626389614888975477 (138 digits)
Divisors found:
r1=13536654879499683819139777670425482873312086836109 (pp50)
r2=36555596220729693542429665084093180240174216980860475102187812929587403828125539179081353 (pp89)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 54.66 hours.
Factorization parameters were as follows:
n: 494840489954360806961811155691654969555698739814018257630855081469568650817771242856980889336133008999168159132876119925626389614888975477
# norm 2.816623e-13 alpha -6.998495 e 2.658e-11 rroots 5
skew: 8917011.14
c0: -618703426080638447624738250928653133
c1: 726163829732710025676535589963
c2: 178508860735700164131223
c3: -70350072468860603
c4: -2321370018
c5: 72
Y0: -1470369847704572549754486762
Y1: 21982248148081
type: gnfs
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 24369374
Relations: 3889490 relations
Pruned matrix : 2308080 x 2308328
Polynomial selection time: 0.36 hours.
Total sieving time: 50.82 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.70 hours.
time per square root: 0.55 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,11000000,11000000,28,28,56,56,2.5,2.5,100000
total time: 54.66 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

6783983402635398666028434434390009748506847506300352105477238603853828637824611905408241702718167077205567931454826100743421281750887659356319635282630041187581749<163>

1283961046727096830849357368721830623893464490559<49>
5283636462280712633819280328317368800522390091857559182632239265864140531771156810258024973315190607923319244118411<115>

Number: n
N=6783983402635398666028434434390009748506847506300352105477238603853828637824611905408241702718167077205567931454826100743421281750887659356319635282630041187581749  ( 163 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sat Jun  1 13:35:48 2024  prp49 factor: 1283961046727096830849357368721830623893464490559
Sat Jun  1 13:35:48 2024  prp115 factor: 5283636462280712633819280328317368800522390091857559182632239265864140531771156810258024973315190607923319244118411
Sat Jun  1 13:35:48 2024  elapsed time 02:38:59 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.902).
Factorization parameters were as follows:
#
# N = 71x10^206-35 = 78(205)5
#
n: 6783983402635398666028434434390009748506847506300352105477238603853828637824611905408241702718167077205567931454826100743421281750887659356319635282630041187581749
m: 100000000000000000000000000000000000000000
deg: 5
c5: 142
c0: -7
skew: 0.55
# Murphy_E = 8.167e-12
type: snfs
lss: 1
rlim: 19800000
alim: 19800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19800000/19800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4363814 hash collisions in 21464584 relations (17323021 unique)
Msieve: matrix is 2240090 x 2240315 (632.3 MB)

Sieving start time: 2024/05/31 20:02:50
Sieving end time  : 2024/06/01 10:56:25

Total sieving time: 14hrs 53min 35secs.

Total relation processing time: 2hrs 30min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 39sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19800000,19800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1155877692482062656513928670922720662161369624744331555649608183795096011600798776930974454280043789303061925461174096392471452431895480824367183967762160901494278876320273720042683372309732623422232953<202>

557930652411153751821892027979453099648673117133800337912376206821085604646457548116770944357535929185327332479481203356078638985408396845073907563398682752846954999519711931<174>

13691403915567221849663912989905754098736788771262251278612257716709868042495949338875266301631887573515711384014998530675377924728116296427688282076374580690449690743431<170>

2201768966590376182706022638688230296464842376553759015716283483553113800079250916333708045930243523202323949489094782815006919320589999655385322801730915187188882000398887992983<178>

1288710256100931581556435001451647848619452224977806897381138858646718525088634257135315939152902733035028574344988999097423064848198511182517905186632500783040757017894858088135407074754605506489257754747483<208>

8480595722812055074045114251826015166064169<43>

151959873836977580542172901887611259555313089980727832285937859997737594232124556399737648160054581955093488500415188706867856535699854964622594550057147337456020707<165>

Resuming ECM residue saved by @9956d07e1373 with GMP-ECM 7.0.5-dev on Sat Feb  3 10:38:40 2024 
Input number is 1288710256100931581556435001451647848619452224977806897381138858646718525088634257135315939152902733035028574344988999097423064848198511182517905186632500783040757017894858088135407074754605506489257754747483 (208 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:250375774
Step 1 took 0ms
Step 2 took 2695ms
********** Factor found in step 2: 8480595722812055074045114251826015166064169
Found prime factor of 43 digits: 8480595722812055074045114251826015166064169
Composite cofactor 151959873836977580542172901887611259555313089980727832285937859997737594232124556399737648160054581955093488500415188706867856535699854964622594550057147337456020707 has 165 digits

2799084748836356437038651664913024279545056067553730462556419908327203357767483749371007136215137272748531870472783993818743764534201234636354873482911353727960277797329867929831<178>

246057717812645037614497840096297141<36>
11375724255752281775948864849346703663492357378416199366884887525443065608306441519046760303566175870968421657566156796286800821641556574290091<143>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:86088907
Step 1 took 9611ms
Step 2 took 4561ms
********** Factor found in step 2: 246057717812645037614497840096297141
Found prime factor of 36 digits: 246057717812645037614497840096297141
Prime cofactor 11375724255752281775948864849346703663492357378416199366884887525443065608306441519046760303566175870968421657566156796286800821641556574290091 has 143 digits

171993064592940863303977416741767206721093012094165011600293906822004807469308876550171568785469318806841444434117668785797865973404517740794545479200173467410142901<165>

3515763717469842854508088814005993357714261597749414143145541665112820460546485400448384805967208171570691012280923620891078240733039088130326876965225786768051140723702684841057487052343195201221405879799<205>

89650339476762372211040836167150575523896523060390330494442323866678588646600070821116556883102201910384716331334717278250644491081939989177701434957917628733974756384940897859021541787762257302665222455255652883689<215>

41586911092949078255665931090860668572727994965696430774451863683335811636807483266503860964804716271543152012470769558872301964153477609937800214527653516091140600594560892436519249278361747<191>

18915930778315054154937926094241588503526346789698465752746206960726276511999362994484643003042489903432232726906566623736602452804939965290968625251228851913142401208986298392511803<182>

4105649593869286739576700414267850538244445455822069751118037052845715508454386893674740533571204262113008589114363358067356703193908277688987322705292664306629410614426681929737075154138446072172595471886580308143978967<220>

19648308639601285590355951728144030637<38>
208956896452365625359331585667082877240573970423011512951567791813288754860355995825536337970395499966235315723195004799973732983833553522401672773673207388297050258539431384445443091<183>

Resuming ECM residue saved by @531202c07a3a with GMP-ECM 7.0.5-dev on Fri Feb  2 03:44:59 2024 
Input number is 4105649593869286739576700414267850538244445455822069751118037052845715508454386893674740533571204262113008589114363358067356703193908277688987322705292664306629410614426681929737075154138446072172595471886580308143978967 (220 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:612115608
Step 1 took 0ms
Step 2 took 2951ms
********** Factor found in step 2: 19648308639601285590355951728144030637
Found prime factor of 38 digits: 19648308639601285590355951728144030637
Prime cofactor 208956896452365625359331585667082877240573970423011512951567791813288754860355995825536337970395499966235315723195004799973732983833553522401672773673207388297050258539431384445443091 has 183 digits

875668357568093023272922952675919758238473984257655459185501013667647956566684590361458009137889282073189326486146984751079544491133284652384637788438536381169892371821638704853822050545615744434140134913470617<210>

541807328147863279590968433553399826294281269056379619700628786863592873885984515444174010092351936658053112967930611208611629138057761216940772144961832668934466102887143590125320302088720286079458402679424962483753458939<222>

866353330312170373731332898193583155920413365951825919153570070713115801149161311115043288144631133815243197918889448310159781258460567101558968057250013337456769281532973678495014348651195389131<195>

188787486110051249790917904075042105417788998743649984125635276872038151514274207127698382298746901159281390188818466977745312132251280425563919<144>

390270456667892296045707289871579119<36>
483735017305456394590798035470300083689249988221520116476220317984196947375370049963695507798544530717119201<108>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:130357579
Step 1 took 5844ms
********** Factor found in step 1: 390270456667892296045707289871579119
Found prime factor of 36 digits: 390270456667892296045707289871579119
Prime cofactor 483735017305456394590798035470300083689249988221520116476220317984196947375370049963695507798544530717119201 has 108 digits

GMP-ECM

3922674187250163709769555568839657951918300369108964559595462467494706427813948015632373283236987669611617808356214307030763875866614111553836975252747867592777111327187128454088288600640061953<193>

172185181448961999196911148605462035945477120735964181464164248820606975053582067573982440586533664416895477642630701498120932563474926233060960020511462066433109829151174872373385625537704413355281<198>

81396301971108898507409642939644642088422751756755749760253497891434529572365611552772031313501296322090899033619538781038788777169598366571111993859738121728742811187520456553004182738137205504453581465947398499671262118447669343<230>

1004953998584571832979476291578202406227883934890304317055909412597310686482661004953998584571832979476291578202406227883934890304317055909412597310686482661004953998584571832979476291578202406227883934890304317055909412597310686482661<235>

2064530633324802088896296387851736003336697955503635855132701405221287867824892159580567051097547785273677144069640711594929850173285723317174719563735528341081454622901827279675007467844268185947118087<202>

1342915153413305737105087417108933124412934898267995082449533650724724040074760968452056452989672706532708550275202903531623377751488880996310922478666671913533201086174089860271924723907889345106544904628396062493<214>

25163017455348766316179938302464307287048882842938619508828167828434222915899765914358678307595708377567233583732358827839549231386545959268560723277939657667634735328612323185134336142732110533869098216491152552974946804331<224>

39081498165401876558175766917538984253261622323718550676681753412506601550484892246566267312733822093497754449809276721203983161539617323099229930780784356414636961143330425673087409056006053273401343516693426658759001573<221>

157777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<243>

2732476298152206600681140301149100020262847746669429758818425181007395584162267157143924172613797288286395723630693329770588780733899723331076083842860382588590060220157301428710034841<184>

414817422745440063367780389739645585907943267539688111902292158791307778241033745342175296960835509053969587700699310328687306390913954746464947446248169383098513780316369741807062400791264322583705112475776696283090533093330139<228>

235467737708357849207266296905006959264957954544783078813653589054091249881141279425294866891860893451222858699544399968703801841741911127194290282787481392793394916620262366587370158419639491864241956973619789594883401923<222>

84833933554391508788478062341588034128316281211868891360426870995795031203987391789372004057203744234361401191358689208189144207504774102019862031452537288844573880695860767659054957300377391104780847039315904843110823<218>

246306021801480425474772650571326612590325377615693723542417564862876896849283430652716240526940897572155722085755078662974390734584660479832760913493835575927472388675412690457444791549161245138846748042917803857953417<219>

371656735962174965727089787606879408314597<42>

662724492706484948855850894210450526119368935646467465158697088419575683579677153378472773139590735404899696289073447185941920300808075255570926641984991970646254156234860879061<177>

Resuming ECM residue saved by @425794bf8b5e with GMP-ECM 7.0.5-dev on Thu Mar  7 10:00:16 2024 
Input number is 246306021801480425474772650571326612590325377615693723542417564862876896849283430652716240526940897572155722085755078662974390734584660479832760913493835575927472388675412690457444791549161245138846748042917803857953417 (219 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:4065752139
Step 1 took 0ms
Step 2 took 9911ms
********** Factor found in step 2: 371656735962174965727089787606879408314597
Found prime factor of 42 digits: 371656735962174965727089787606879408314597
Composite cofactor 662724492706484948855850894210450526119368935646467465158697088419575683579677153378472773139590735404899696289073447185941920300808075255570926641984991970646254156234860879061 has 177 digits

662724492706484948855850894210450526119368935646467465158697088419575683579677153378472773139590735404899696289073447185941920300808075255570926641984991970646254156234860879061<177>

823881304328290954391537887040146931688169<42>
804393168317859957073073322454988113003086765866845792678151215537388671149059326213395463305331984821846976863632501529278183493926669<135>

Resuming ECM residue saved by @425794bf8b5e with GMP-ECM 7.0.5-dev on Thu Mar  7 10:00:16 2024 
Input number is 246306021801480425474772650571326612590325377615693723542417564862876896849283430652716240526940897572155722085755078662974390734584660479832760913493835575927472388675412690457444791549161245138846748042917803857953417 (219 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:4065751866
Step 1 took 0ms
Step 2 took 10190ms
********** Factor found in step 2: 823881304328290954391537887040146931688169
Found prime factor of 42 digits: 823881304328290954391537887040146931688169
Composite cofactor 298958139367288242990360658415566487543237083635827969653484359460770617808183683984103387639131123321048682288284428055160570631866849606287816796003275306545420170770800287393 has 177 digits

1140750847578470936052348951297367275914491942041890668783868726560909505776046486904266761973783256994754790308610584765477575671587223898612757056384617644765792117457930010573166534301946475910099392513<205>

1180361751731739657638327546659164769807675205208359136992185244312370269896971627540352530975658585066514763415438038580542779105942689886090369043163938084370777215716963524138133185199609436400872741818998602450026323<220>

279335021999546040575302369278453260619606527903<48>

4225613184062748546325707041287815085371510718655032554516131974804462754764841388918687616937553973521322142218371987182241389508740794858131781623553970573101614934664141<172>

Resuming ECM residue saved by @531202c07a3a with GMP-ECM 7.0.5-dev on Fri Feb  2 03:34:37 2024 
Input number is 1180361751731739657638327546659164769807675205208359136992185244312370269896971627540352530975658585066514763415438038580542779105942689886090369043163938084370777215716963524138133185199609436400872741818998602450026323 (220 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4249269402
Step 1 took 0ms
Step 2 took 2948ms
********** Factor found in step 2: 279335021999546040575302369278453260619606527903
Found prime factor of 48 digits: 279335021999546040575302369278453260619606527903
Composite cofactor 4225613184062748546325707041287815085371510718655032554516131974804462754764841388918687616937553973521322142218371987182241389508740794858131781623553970573101614934664141 has 172 digits

102393262234913218104859353480289297019779205514814574455044310323692502938398194417403970262689193184358347574649735724432330312011018091879925873046776414937879017313114269438495540124458289167225503133089608526041779335309090646880250358736957477953<252>

417265839208284931671750315858053152493936560006178997337221569377264565114946006595656764320720976541909004313541098714167776416813825793229541744286307091706790850659376559920988389079509564205520177485045135202747448986876868255483419392443<243>

199399220599309656670975399646361265367312394576103519736695494058875304067135395091517470788141921134910569692876580096924710321018229541292054083933193593221504648972304410881249095991409305295363368206821604443621095867473<225>

2443860565048776808095597085727457251785555209368698818782945480070444121168898492526963219476940565507662473138063401293969306024482146929274307405611494376618172992832933793755202393705985864630876434932906637399071541076977262260182253895986473<247>

455978590977335019252651590576227644879553<42>
5359594975304996117733233875854908210883414906827296667864986558296399449809778709074387912596744867307701652276159387331064179177875665957336056680885496880301766295163303246189748756094951679255314881641<205>

Resuming ECM residue saved by @531202c07a3a with GMP-ECM 7.0.5-dev on Fri Feb  2 03:42:04 2024 
Input number is 2443860565048776808095597085727457251785555209368698818782945480070444121168898492526963219476940565507662473138063401293969306024482146929274307405611494376618172992832933793755202393705985864630876434932906637399071541076977262260182253895986473 (247 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:770481716
Step 1 took 0ms
Step 2 took 3365ms
********** Factor found in step 2: 455978590977335019252651590576227644879553
Found prime factor of 42 digits: 455978590977335019252651590576227644879553
Prime cofactor 5359594975304996117733233875854908210883414906827296667864986558296399449809778709074387912596744867307701652276159387331064179177875665957336056680885496880301766295163303246189748756094951679255314881641 has 205 digits

2167594862842916369442853475609375409524689645828279746190516903751934215877214116104349054700431749787747431907640553605559740387468572355011067937811459148995845651797835998459908585197552687705433993935344339311514170796430984840467384131407416138845869<256>

4394641156429867289662149090096040763<37>

493235917492711521501583594287883579632932189725140158016796647134229689885421865497392393451320413044108146345781602319304814616293892230417899883827795574990895992804358988705892393410600208882401351939703069039140663<219>

Resuming ECM residue saved by @531202c07a3a with GMP-ECM 7.0.5-dev on Fri Feb  2 04:32:17 2024 
Input number is 2167594862842916369442853475609375409524689645828279746190516903751934215877214116104349054700431749787747431907640553605559740387468572355011067937811459148995845651797835998459908585197552687705433993935344339311514170796430984840467384131407416138845869 (256 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3870197666
Step 1 took 0ms
Step 2 took 3641ms
********** Factor found in step 2: 4394641156429867289662149090096040763
Found prime factor of 37 digits: 4394641156429867289662149090096040763
Composite cofactor 493235917492711521501583594287883579632932189725140158016796647134229689885421865497392393451320413044108146345781602319304814616293892230417899883827795574990895992804358988705892393410600208882401351939703069039140663 has 219 digits

9780763555203910622926920877418245593722064961549628251288513275359970409902509588614912635937644567105501577910488126942994574907672175054989415451057197253590091774923529719004586644431946431859636534022143865416893974260749<226>

517079713197885306498222758484922831881593289351513246193141449761652849338005331297371455889998968049609760834265716387712701516558561299920244411643017282375661864338285307734623288495416201032612885044737908708379500857577490976114768116777<243>

5259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<268>

969978712522821636461818105857303076584608634355150447592232870121654604935156654263474080270574414216096620434633056511136735889258327917484295790147744696753922461362928332751366615398292816829057219509743139820673839717372359<228>

161454089538267085637739042295517205761010451353614868321962713352705958721211385154163042055471698011610144153225925564541090145364839973160317940324115994099177633982397645284036775596805612057680494163417886953228030201847275979397922887560908037<249>

64094420950085336627081807948311592239436073105299219421759526857778371759467126295039838061745862112549044698224675585532750614384687589812083222569344748432875854822854164097988356597688816667982313518082936143169522522245249650507215088054115092993<251>

458624213603646834054711719597625953268531479690502127584504586358347375010525749524810852839025348123454150535767301586625773609540203787847239536799220830734984645529806195623175767625212334575563821709557018654208788453021402092681570617712027064155325195593<261>

355196077114469114813104704124294213513214632307399492204684290845654072189200243264287968565847562000413278139865159064432543374756449929272206489787524958465196750236049054979575099944546888496122071786678040945552968877644681805473666600805309551004893476321266247<267>

157777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<276>

25865209471766848816029143897996357012750455373406193078324225865209471766848816029143897996357012750455373406193078324225865209471766848816029143897996357012750455373406193078324225865209471766848816029143897996357012750455373406193078324225865209471766848816029143897996357<275>

4323079973757217756746915500963728358699801681170254784526274887152248317687341458820749566766782056128134748927387415040479080289691956991304909009747540221339555801030810916681034854181<187>

485211756543621820401745119162980595889598681762163154463934006956090391369287480576147365511605571789050959635450588296419617029989380680227656921835404243788460804311487343036736750115716571420914778175464149576483281942396424018364030337271<243>

177967254510390887258272405263034639818150124058778893405812921605893887921553888391938090414545016086779994891065416436961710362582873977421331158088049441031629477042604446963394246743282117758343349815284315535397169190935717300529600861900066097937223412953<261>

592481328493345016063754328868861351024325113698001418617265406600742687862477573329995410355906037468185421621396086285308966495598114073517753577836191429882755455417866232736679601118204197438144114824550423498977761088162890641298452038219218091542537655943589101681478699879<279>

77497171788830717924567148842402612017175203824242908359782484378216755123364511356271344587569973160159147504995334870752957650973528783687947315901162548044925686613987888130194999540802131626849743430504817663574773357355985688691877435322760153836633<254>

11457330059580991069313257256446096240455186978152558998798501177552605852302496154726578819120962457061818784955288813216146142279188849081478338770992708654740180895810790858887791682441821049218918798218528892836442155116995790762789091684377356251643335383423384404184297<275>

11384758572554624020586104614812569879<38>

1006374442335678159683502908208518702769375074912833657905079971355270483633734895920366687425096147533637516468525346284332742939487472844660675985342562242636484461844549782301047835010373784362708305808115548718070785242105880934060543<238>

Resuming ECM residue saved by @531202c07a3a with GMP-ECM 7.0.5-dev on Fri Feb  2 03:27:13 2024 
Input number is 11457330059580991069313257256446096240455186978152558998798501177552605852302496154726578819120962457061818784955288813216146142279188849081478338770992708654740180895810790858887791682441821049218918798218528892836442155116995790762789091684377356251643335383423384404184297 (275 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1537391665
Step 1 took 0ms
Step 2 took 4013ms
********** Factor found in step 2: 11384758572554624020586104614812569879
Found prime factor of 38 digits: 11384758572554624020586104614812569879
Composite cofactor 1006374442335678159683502908208518702769375074912833657905079971355270483633734895920366687425096147533637516468525346284332742939487472844660675985342562242636484461844549782301047835010373784362708305808115548718070785242105880934060543 has 238 digits

69151589682057851245910086052197945276703997750679977739106764911050067530244338288673639300476318205708584361521609275707501707381196854930179699234528046376453047687607217580889519141331860506709769715668494256637618812542927547<230>

47383025084090004067895716095635772588652276871414832405415000417716197135136090192014389950393173348220218948526271071585610895365459741721719145059210326563837376660384258057629953327103690184933002590229364223933<215>

19976086173317694492040515859322991237402706306529708500105557188060252478339893937588076719726180464113012240168269336046059752064921400258358931021999915132777807743330660070244798763034976730489754449157799571691188969196529659010309009179854563659010025019203203<266>

5294961643084315548115093244256586874644012836463151855900908004164260052004597763210226669168916787024834344340914506385448443339142467319197782142377559700142962731072103714514820060070555014578127871062405287322505312759158174527<232>

93434670887127826686078522060885392413810542376103518827530062600478896019304375610526727995939127822827779937960707097828178187945659295972826883623386928117218391033080307261251398202479404782041453383<203>

143124424173352619998220485249262634701665497062470412452115109652724236280929777259900007664157037178785547320190980920148568647616241522044825209840677551992438977810407579234534603522844428317261842521466115413318323927173548887193321339538717259626659299584812783095561484003<279>

578132056670581929393801147084592304912950450118052808139203763176849293295327035043933095902394237843907178921232326520017072910289202144132152093012378140080475671513326533205843330592335848920073099420905009886932335234935010514733915667502731332303095618057390461697045641993<279>

48411969735783939194068723569335954338543345357801686493780718095098680773446407949800138515725806223609009614422148112522727429562684545802611735768922839440104942534957268817694842146581267018539271064799664626583604032232539350912273496778060414439951811175882676173091<272>

4119939262126183791976562949101939890142452073123015882766534096508677211672678184647979244806736699999670665981940885125192070661723548452866148074070286244469838531482605668804953731873667518254920645903547452608725274739041864830413915503602227839515691414359315935416485514460527959081<289>

639677486447181712406563758865015125187727327893918998457788224266820013495173141440513706506454524181959254909233851553843454708028943982674967277547105319448806109024007443413729008866607128767852051482862984708338764525104118059311059370160552408706667147908773267060275386200817571<285>

109661241478070984223518830753245828675362640393900747637852632447912470883214647225245719981249772452470988008550010258935770142634287044502156274387935672397583905948154739107029578985071111715742060700520360251129166289936767344288465505578211990953534815558533211035747336293<279>