12227160149313465720718189243402708855813728581591285993645014257791538639071857958972294731588919<98>

3368655892314022893129205570471627904015458298497<49>
3629685114829075423952964039451949658072194073527<49>

N=12227160149313465720718189243402708855813728581591285993645014257791538639071857958972294731588919
  ( 98 digits)
SNFS difficulty: 104 digits.
Divisors found:
 r1=3368655892314022893129205570471627904015458298497 (pp49)
 r2=3629685114829075423952964039451949658072194073527 (pp49)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.23 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 12227160149313465720718189243402708855813728581591285993645014257791538639071857958972294731588919
m: 50000000000000000000000000
deg: 4
c4: 106
c0: -55
skew: 0.85
# Murphy_E = 2.201e-07
type: snfs
lss: 1
rlim: 390000
alim: 390000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 390000/390000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [195000, 305001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 30305 x 30530
Total sieving time: 0.23 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,104.000,4,0,0,0,0,0,0,0,0,390000,390000,25,25,44,44,2.2,2.2,10000
total time: 0.23 hours.
 --------- CPU info (if available) ----------

2069458902374585125790700882226735065586348196514154624951301298718121899486203500718137<88>

18880288166450473724433160457379319931287159<44>
109609497700990170741236550963787656060801743<45>

P45 = 109609497700990170741236550963787656060801743
P44 = 18880288166450473724433160457379319931287159

147222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<108>

112476295411281915335751171896556957551<39>
1308917774041970471175572060876083425227454886762887599146508378431171<70>

N=147222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221
  ( 108 digits)
SNFS difficulty: 108 digits.
Divisors found:
 r1=112476295411281915335751171896556957551 (pp39)
 r2=1308917774041970471175572060876083425227454886762887599146508378431171 (pp70)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.28 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 147222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221
m: 500000000000000000000000000
deg: 4
c4: 106
c0: -55
skew: 0.85
# Murphy_E = 1.45e-07
type: snfs
lss: 1
rlim: 460000
alim: 460000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 460000/460000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [230000, 410001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 37256 x 37481
Total sieving time: 0.27 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,108.000,4,0,0,0,0,0,0,0,0,460000,460000,25,25,44,44,2.2,2.2,20000
total time: 0.28 hours.
 --------- CPU info (if available) ----------

722574295866209168614904203526613013916448281537544521415239796477924207322500292260852461960866935805687<105>

18889363833453858714492768673825567410209<41>
38252971473104862618196374224546527086705354446691277871513656343<65>

N=722574295866209168614904203526613013916448281537544521415239796477924207322500292260852461960866935805687
  ( 105 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=18889363833453858714492768673825567410209 (pp41)
 r2=38252971473104862618196374224546527086705354446691277871513656343 (pp65)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.49 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 722574295866209168614904203526613013916448281537544521415239796477924207322500292260852461960866935805687
m: 10000000000000000000000000000
deg: 4
c4: 53
c0: -44
skew: 0.95
# Murphy_E = 8.579e-08
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [275000, 535001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 51005 x 51230
Total sieving time: 0.48 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,113.000,4,0,0,0,0,0,0,0,0,550000,550000,25,25,45,45,2.2,2.2,20000
total time: 0.49 hours.
 --------- CPU info (if available) ----------

1741320310106904188588295864203334380806238738147454299469001102363441725911810986020411591279667975501<103>

19434091874684757880814704334791073878696667<44>
89601321293287870647909782481463022110268942999181010656503<59>

Number: 1
N=1741320310106904188588295864203334380806238738147454299469001102363441725911810986020411591279667975501
  ( 103 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=19434091874684757880814704334791073878696667 (pp44)
 r2=89601321293287870647909782481463022110268942999181010656503 (pp59)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.76 hours.
Scaled time: 5.85 units (timescale=7.740).
Factorization parameters were as follows:
n: 1741320310106904188588295864203334380806238738147454299469001102363441725911810986020411591279667975501
m: 100000000000000000000000000000
deg: 4
c4: 53
c0: -44
skew: 0.95
# Murphy_E = 5.581e-08
type: snfs
lss: 1
rlim: 640000
alim: 640000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 640000/640000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [320000, 520001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 56740 x 56966
Total sieving time: 0.75 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117.000,4,0,0,0,0,0,0,0,0,640000,640000,25,25,45,45,2.2,2.2,50000
total time: 0.76 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

442189686051592583280143841676845207595779725023934696889904465476705268148039479126778219729081545860659<105>

2343747572592991535549985434413379971161974189<46>
188667794784051163143912073928531650832973168208351144507231<60>

Number: 1
N=442189686051592583280143841676845207595779725023934696889904465476705268148039479126778219729081545860659
  ( 105 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=2343747572592991535549985434413379971161974189 (pp46)
 r2=188667794784051163143912073928531650832973168208351144507231 (pp60)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.89 hours.
Scaled time: 6.93 units (timescale=7.806).
Factorization parameters were as follows:
n: 442189686051592583280143841676845207595779725023934696889904465476705268148039479126778219729081545860659
m: 500000000000000000000000000000
deg: 4
c4: 106
c0: -55
skew: 0.85
# Murphy_E = 4.013e-08
type: snfs
lss: 1
rlim: 720000
alim: 720000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 720000/720000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [360000, 610001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 65508 x 65735
Total sieving time: 0.88 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,120.000,4,0,0,0,0,0,0,0,0,720000,720000,25,25,46,46,2.2,2.2,50000
total time: 0.89 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

2759635214042293935338050752643788648393235432320393738492562341523812905201443480545018235520644761892526071699451<115>

620113537179633832541774487659906184525761741<45>
4450209596445055076929310620146491360110262815835401909157936984078311<70>

Number: 1
N=2759635214042293935338050752643788648393235432320393738492562341523812905201443480545018235520644761892526071699451
  ( 115 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=620113537179633832541774487659906184525761741 (pp45)
 r2=4450209596445055076929310620146491360110262815835401909157936984078311 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.44 hours.
Scaled time: 18.78 units (timescale=7.710).
Factorization parameters were as follows:
n: 2759635214042293935338050752643788648393235432320393738492562341523812905201443480545018235520644761892526071699451
m: 500000000000000000000000000000000
deg: 4
c4: 106
c0: -55
skew: 0.85
# Murphy_E = 1.06e-08
type: snfs
lss: 1
rlim: 1140000
alim: 1140000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1140000/1140000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [570000, 1170001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 145377 x 145607
Total sieving time: 2.41 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,132.000,4,0,0,0,0,0,0,0,0,1140000,1140000,26,26,47,47,2.3,2.3,100000
total time: 2.44 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

38641003207932341790609507144940215806357538641003207932341790609507144940215806357538641003207932341790609507144940215806357538641<131>

1070294032307547142912981165123274152961126925279821563<55>
36103166084765122011936205482065146056877858382366112691070194209727291887907<77>

Number: 1
N=38641003207932341790609507144940215806357538641003207932341790609507144940215806357538641003207932341790609507144940215806357538641
  ( 131 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=1070294032307547142912981165123274152961126925279821563 (pp55)
 r2=36103166084765122011936205482065146056877858382366112691070194209727291887907 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.77 hours.
Scaled time: 21.52 units (timescale=7.758).
Factorization parameters were as follows:
n: 38641003207932341790609507144940215806357538641003207932341790609507144940215806357538641003207932341790609507144940215806357538641
m: 1000000000000000000000000000000000
deg: 4
c4: 265
c0: -22
skew: 0.54
# Murphy_E = 8.652e-09
type: snfs
lss: 1
rlim: 1220000
alim: 1220000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1220000/1220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [610000, 1310001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 165332 x 165559
Total sieving time: 2.75 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1220000,1220000,26,26,47,47,2.3,2.3,100000
total time: 2.77 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

11209399462604710497806939589294955903969210535903260988297602934189813449177220878909324091539482881918274591064602476220082943<128>

10877984203965350369671225835603672857313<41>
1030466605983721631148860797440984937101828846335404067220650630802578549058416184492511<88>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 11209399462604710497806939589294955903969210535903260988297602934189813449177220878909324091539482881918274591064602476220082943 (128 digits)
Using B1=17630000, B2=58560416470, polynomial Dickson(12), sigma=1:518801259
Step 1 took 26910ms
Step 2 took 12703ms
********** Factor found in step 2: 10877984203965350369671225835603672857313
Found prime factor of 41 digits: 10877984203965350369671225835603672857313
Prime cofactor 1030466605983721631148860797440984937101828846335404067220650630802578549058416184492511 has 88 digits

7915201892807328683857751997619829015220267864425794344811413745843722818206284420343079816679976153<100>

612435482605869625045488621800093887291<39>
12924139958594013749694829152925229841933465922508308112441083<62>

7915201892807328683857751997619829015220267864425794344811413745843722818206284420343079816679976153=612435482605869625045488621800093887291*12924139958594013749694829152925229841933465922508308112441083

cado polynomial
n: 7915201892807328683857751997619829015220267864425794344811413745843722818206284420343079816679976153
skew: 319132.36
c0: 129025491142764559482534439
c1: -685174840381941914415
c2: -16123973649740174
c3: 10292049050
c4: 29100
Y0: -722173931945450712255742
Y1: 8353491945571
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 2.733e-06
# f(x) = 29100*x^4+10292049050*x^3-16123973649740174*x^2-685174840381941914415*x+129025491142764559482534439
# g(x) = 8353491945571*x-722173931945450712255742

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

cado log (extracts)
Info:Square Root: Factors: 12924139958594013749694829152925229841933465922508308112441083 612435482605869625045488621800093887291
Info:Square Root: Total cpu/real time for sqrt: 39.22/11.9944
Info:Filtering - Singleton removal: Total cpu/real time for purge: 9.9/10.352
Info:Filtering - Merging: Merged matrix has 182164 rows and total weight 31011029 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 37.08/10.325
Info:Filtering - Merging: Total cpu/real time for replay: 6.09/5.05408
Info:Generate Factor Base: Total cpu/real time for makefb: 0.76/0.225262
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2388270
Info:Lattice Sieving: Average J: 1004.85 for 83935 special-q, max bucket fill -bkmult 1.0,1s:1.328610
Info:Lattice Sieving: Total time: 3112.59s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 67.08
Info:Polynomial Selection (root optimized): Rootsieve time: 66.69
Info:Linear Algebra: Total cpu/real time for bwc: 469.52/122.54
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 277.24, WCT time 71.08, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5760 iterations)
Info:Linear Algebra: Lingen CPU time 24.19, WCT time 6.2
Info:Linear Algebra: Mksol: CPU time 152.18,  WCT time 39.12, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2944 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 5916/32.600/38.138/38.970/0.706
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3356/32.600/36.604/38.920/1.007
Info:Polynomial Selection (size optimized): Total time: 103.71
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 19.67/19.7286
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 14.5s
Info:Square Root: Total cpu/real time for sqrt: 39.22/11.9944
Info:Generate Free Relations: Total cpu/real time for freerel: 24.26/6.72646
Info:Quadratic Characters: Total cpu/real time for characters: 5.97/2.38152
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.09/8.62926
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.6s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 6367.44/1866.11
Info:root: Cleaning up computation data in /tmp/cado.8mvuxfw5
12924139958594013749694829152925229841933465922508308112441083 612435482605869625045488621800093887291

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)

40125951098073877942992604838323701753244779343603114442969086971613403541367145499375351379825064038290004958084325014524982067173<131>

10161900426644699470835146145431857192939174380742071659<56>
3948666038181486018594873389378183427251321770730086612629136877542559908847<76>

Number: 1
N=40125951098073877942992604838323701753244779343603114442969086971613403541367145499375351379825064038290004958084325014524982067173
  ( 131 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=10161900426644699470835146145431857192939174380742071659 (pp56)
 r2=3948666038181486018594873389378183427251321770730086612629136877542559908847 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.21 hours.
Scaled time: 63.68 units (timescale=7.758).
Factorization parameters were as follows:
n: 40125951098073877942992604838323701753244779343603114442969086971613403541367145499375351379825064038290004958084325014524982067173
m: 1000000000000000000000000000000000000
deg: 4
c4: 53
c0: -44
skew: 0.95
# Murphy_E = 2.393e-09
type: snfs
lss: 1
rlim: 1880000
alim: 1880000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1880000/1880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [940000, 1740001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 277844 x 278069
Total sieving time: 8.16 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,145.000,4,0,0,0,0,0,0,0,0,1880000,1880000,26,26,49,49,2.3,2.3,100000
total time: 8.21 hours.
 --------- CPU info (if available) ----------

GMP-ECM

3430791055842313680752697654681499891330993976586889776123417205684806951851868677190862984518577479030203763752454688559<121>

60126846071528596710866647584484888143101265298403<50>
57059221961533581928284359085223822786687496966251845332007953520304453<71>

3430791055842313680752697654681499891330993976586889776123417205684806951851868677190862984518577479030203763752454688559=60126846071528596710866647584484888143101265298403*57059221961533581928284359085223822786687496966251845332007953520304453

cado polynomial
n: 3430791055842313680752697654681499891330993976586889776123417205684806951851868677190862984518577479030203763752454688559
skew: 0.85
type: snfs
c0: -55
c4: 106
Y0: 5000000000000000000000000000000000000
Y1: -1
# f(x) = 106*x^4-55
# g(x) = -x+5000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2100000
tasks.lim1 = 2100000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 57059221961533581928284359085223822786687496966251845332007953520304453 60126846071528596710866647584484888143101265298403
Info:Square Root: Total cpu/real time for sqrt: 48.15/34.3594
Info:Generate Factor Base: Total cpu/real time for makefb: 1.09/1.30717
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6037392
Info:Lattice Sieving: Average J: 1895.92 for 189191 special-q, max bucket fill -bkmult 1.0,1s:1.315040
Info:Lattice Sieving: Total time: 32011.8s
Info:Linear Algebra: Total cpu/real time for bwc: 1293.03/1042.06
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 689.39, WCT time 564.61, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (8960 iterations)
Info:Linear Algebra: Lingen CPU time 191.34, WCT time 139.14
Info:Linear Algebra: Mksol: CPU time 386.13,  WCT time 315.43, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4480 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 37.06/25.2778
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.67/76.8061
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 70.5s
Info:Square Root: Total cpu/real time for sqrt: 48.15/34.3594
Info:Quadratic Characters: Total cpu/real time for characters: 9.27/7.51717
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.86/40.5837
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 33.18/50.4273
Info:Filtering - Merging: Merged matrix has 286050 rows and total weight 48651609 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 60.81/44.7686
Info:Filtering - Merging: Total cpu/real time for replay: 10.22/11.2743
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 31234.5/17579
Info:root: Cleaning up computation data in /tmp/cado.xfw0mko7
57059221961533581928284359085223822786687496966251845332007953520304453 60126846071528596710866647584484888143101265298403

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)

988519087041522935555625358002871227520631110271679882104103849930760153122022698916466760122984013763891852693749739<117>

9732701948978446394258212986017133716606230829437<49>
101566768634611155875152862570265743557746346421597568951633509792647<69>

988519087041522935555625358002871227520631110271679882104103849930760153122022698916466760122984013763891852693749739=9732701948978446394258212986017133716606230829437*101566768634611155875152862570265743557746346421597568951633509792647

cado polynomial
n: 988519087041522935555625358002871227520631110271679882104103849930760153122022698916466760122984013763891852693749739
skew: 0.61
type: snfs
c0: -22
c5: 265
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 265*x^5-22
# g(x) = -x+1000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2400000
tasks.lim1 = 2400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 9732701948978446394258212986017133716606230829437 101566768634611155875152862570265743557746346421597568951633509792647
Info:Square Root: Total cpu/real time for sqrt: 43.88/32.1541
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11641518
Info:Lattice Sieving: Average J: 1893.06 for 146617 special-q, max bucket fill -bkmult 1.0,1s:1.217780
Info:Lattice Sieving: Total time: 35504.1s
Info:Linear Algebra: Total cpu/real time for bwc: 930.86/777.99
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 514.59, WCT time 459.57, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7680 iterations)
Info:Linear Algebra: Lingen CPU time 121.82, WCT time 84.85
Info:Linear Algebra: Mksol: CPU time 272.84,  WCT time 214.72, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3840 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.06/1.29443
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.72/157.069
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 145.5s
Info:Square Root: Total cpu/real time for sqrt: 43.88/32.1541
Info:Generate Free Relations: Total cpu/real time for freerel: 61.27/41.5744
Info:Quadratic Characters: Total cpu/real time for characters: 7.93/6.38249
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.27/74.1801
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 73.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 96.99/134.779
Info:Filtering - Merging: Merged matrix has 241745 rows and total weight 41183281 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 48.43/18.1238
Info:Filtering - Merging: Total cpu/real time for replay: 7.44/6.9635
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 34775.7/19250.2
Info:root: Cleaning up computation data in /tmp/cado.yskelxrp
9732701948978446394258212986017133716606230829437 101566768634611155875152862570265743557746346421597568951633509792647

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)

6400966183574879227053140096618357487922705314009661835748792270531400966183574879227053140096618357487922705314009661835748792270531400966183574879227<151>

1343816610647662909427582341917801997<37>
47577858039943844651280056791268709596055771061<47>
100115343467845125091345960934144250442253704454880307181702286602731<69>

Number: 58884_152
N = 6400966183574879227053140096618357487922705314009661835748792270531400966183574879227053140096618357487922705314009661835748792270531400966183574879227 (151 digits)
SNFS difficulty: 154 digits.
Divisors found:
r1=1343816610647662909427582341917801997 (pp37)
r2=47577858039943844651280056791268709596055771061 (pp47)
r3=100115343467845125091345960934144250442253704454880307181702286602731 (pp69)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 1.21 hours.
Factorization parameters were as follows:
n: 6400966183574879227053140096618357487922705314009661835748792270531400966183574879227053140096618357487922705314009661835748792270531400966183574879227
m: 1000000000000000000000000000000
c5: 1325
c0: -11
skew: 0.95
# Murphy_E = 9.338e-10
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 8090704
Relations: 777346 relations
Pruned matrix : 452892 x 453117
Total sieving time: 1.07 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.04 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: snfs,154,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 1.21 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

4020662579003199249832932843415809157101876022971897928295623687716221454821119234868845508680812429863285016993477010637689998112679883667<139>

141067666483476493873098667380843115989607<42>
28501659375461113147074133787216714680555662532656800619468552497888649871801981541339116624046581<98>

Number: n
N=4020662579003199249832932843415809157101876022971897928295623687716221454821119234868845508680812429863285016993477010637689998112679883667  ( 139 digits)
SNFS difficulty: 158 digits.
Divisors found:

Tue Sep 13 02:25:56 2022  p42 factor: 141067666483476493873098667380843115989607
Tue Sep 13 02:25:56 2022  p98 factor: 28501659375461113147074133787216714680555662532656800619468552497888649871801981541339116624046581
Tue Sep 13 02:25:56 2022  elapsed time 00:06:57 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 53x10^157-44 = 58(156)4
#
n: 4020662579003199249832932843415809157101876022971897928295623687716221454821119234868845508680812429863285016993477010637689998112679883667
m: 10000000000000000000000000000000
deg: 5
c5: 1325
c0: -11
skew: 0.38
# Murphy_E = 5.798e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1367647 hash collisions in 13655452 relations (13136382 unique)
Msieve: matrix is 442910 x 443137 (148.8 MB)

Sieving start time : 2022/09/13 01:31:53
Sieving end time  : 2022/09/13 02:18:44

Total sieving time: 0hrs 46min 51secs.

Total relation processing time: 0hrs 3min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 48sec.

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

239389224670905916535137578014917800514507037409914886910795651608676687485041619082802287892472132678874041666971591<117>

6898121959564898922787500774212168946584399<43>
34703536132609267825922689228074723860899175258747625938710678043639488009<74>

Number: n
N=239389224670905916535137578014917800514507037409914886910795651608676687485041619082802287892472132678874041666971591  ( 117 digits)
SNFS difficulty: 159 digits.
Divisors found:

Sat Sep 17 17:10:21 2022  p43 factor: 6898121959564898922787500774212168946584399
Sat Sep 17 17:10:21 2022  p74 factor: 34703536132609267825922689228074723860899175258747625938710678043639488009
Sat Sep 17 17:10:21 2022  elapsed time 00:07:26 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 53x10^158-44 = 58(157)4
#
n: 239389224670905916535137578014917800514507037409914886910795651608676687485041619082802287892472132678874041666971591
m: 10000000000000000000000000000000
deg: 5
c5: 13250
c0: -11
skew: 0.24
# Murphy_E = 4.719e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1408487 hash collisions in 13413447 relations (12816927 unique)
Msieve: matrix is 495016 x 495243 (167.5 MB)

Sieving start time : 2022/09/17 16:05:46
Sieving end time  : 2022/09/17 17:02:37

Total sieving time: 0hrs 56min 51secs.

Total relation processing time: 0hrs 3min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 29sec.

Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

66038226221404274671032250839978163885119769739864081727472806423375086614825269849847238055956800721726724409450288673149150666041191994501421<143>

64823352025033321721851941030328171141762386077225371<53>
1018741304767791024404923080971373163942562210011799841980383167243328805250206208499982551<91>

Number: n
N=66038226221404274671032250839978163885119769739864081727472806423375086614825269849847238055956800721726724409450288673149150666041191994501421  ( 143 digits)
SNFS difficulty: 161 digits.
Divisors found:

Mon Sep 12 19:45:33 2022  p53 factor: 64823352025033321721851941030328171141762386077225371
Mon Sep 12 19:45:33 2022  p91 factor: 1018741304767791024404923080971373163942562210011799841980383167243328805250206208499982551
Mon Sep 12 19:45:33 2022  elapsed time 00:08:12 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.304).
Factorization parameters were as follows:
#
# N = 53x10^160-44 = 58(159)4
#
n: 66038226221404274671032250839978163885119769739864081727472806423375086614825269849847238055956800721726724409450288673149150666041191994501421
m: 100000000000000000000000000000000
deg: 5
c5: 53
c0: -44
skew: 0.96
# Murphy_E = 4.973e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1373052 hash collisions in 14333153 relations (13885768 unique)
Msieve: matrix is 483418 x 483643 (164.7 MB)

Sieving start time : 2022/09/12 18:49:45
Sieving end time  : 2022/09/12 19:37:03

Total sieving time: 0hrs 47min 18secs.

Total relation processing time: 0hrs 3min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 17sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

35838052219306836902577538414861919907958223677040504562331863518023417904774626510332204854755768058513195244122370859<119>

1703073363672401886760091567182073228166154363435175803<55>
21043164072525849068082092456152464324542492440847140852300891153<65>

Number: n
N=35838052219306836902577538414861919907958223677040504562331863518023417904774626510332204854755768058513195244122370859  ( 119 digits)
SNFS difficulty: 162 digits.
Divisors found:

Sat Sep 17 13:00:02 2022  p55 factor: 1703073363672401886760091567182073228166154363435175803
Sat Sep 17 13:00:02 2022  p65 factor: 21043164072525849068082092456152464324542492440847140852300891153
Sat Sep 17 13:00:02 2022  elapsed time 00:07:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 53x10^161-44 = 58(160)4
#
n: 35838052219306836902577538414861919907958223677040504562331863518023417904774626510332204854755768058513195244122370859
m: 100000000000000000000000000000000
deg: 5
c5: 265
c0: -22
skew: 0.61
# Murphy_E = 4.992e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1243062 hash collisions in 13623372 relations (13258641 unique)
Msieve: matrix is 484583 x 484809 (165.8 MB)

Sieving start time : 2022/09/17 12:10:45
Sieving end time  : 2022/09/17 12:52:23

Total sieving time: 0hrs 41min 38secs.

Total relation processing time: 0hrs 3min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 28sec.

Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

64771720763408431142281643188849618933537767163713119644720425324966807080372320068604108310450896681057712678611764605713693<125>

1095779654124948843135088847150198040523384479504487<52>
59110169201975969415996646972028353414970981722041586301036627321931570139<74>

Number: 1
N=64771720763408431142281643188849618933537767163713119644720425324966807080372320068604108310450896681057712678611764605713693
  ( 125 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=1095779654124948843135088847150198040523384479504487 (pp52)
 r2=59110169201975969415996646972028353414970981722041586301036627321931570139 (pp74)
Version: Msieve v. 1.52 (SVN 927)
Total time: 30.51 hours.
Scaled time: 236.71 units (timescale=7.758).
Factorization parameters were as follows:
n: 64771720763408431142281643188849618933537767163713119644720425324966807080372320068604108310450896681057712678611764605713693
m: 500000000000000000000000000000000
deg: 5
c5: 212
c0: -55
skew: 0.76
# Murphy_E = 2.774e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 789394 x 789620
Total sieving time: 30.34 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 30.51 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

40833099497735515019902341564969432077695254190191552147777218946526890456448008875293840016381529791865478891009351539993178218669641<134>

637425626857129390542884164228720426861663<42>
64059394190136192483677354083348761897923401045000411896527997693285673861418751179319826007<92>

Number: n
N=40833099497735515019902341564969432077695254190191552147777218946526890456448008875293840016381529791865478891009351539993178218669641  ( 134 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sat Sep 17 22:03:59 2022  p42 factor: 637425626857129390542884164228720426861663
Sat Sep 17 22:03:59 2022  p92 factor: 64059394190136192483677354083348761897923401045000411896527997693285673861418751179319826007
Sat Sep 17 22:03:59 2022  elapsed time 00:09:06 (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 = 53x10^166-44 = 58(165)4
#
n: 40833099497735515019902341564969432077695254190191552147777218946526890456448008875293840016381529791865478891009351539993178218669641
m: 1000000000000000000000000000000000
deg: 5
c5: 265
c0: -22
skew: 0.61
# Murphy_E = 3.181e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1318934 hash collisions in 13276486 relations (12781468 unique)
Msieve: matrix is 577316 x 577541 (199.8 MB)

Sieving start time : 2022/09/17 20:52:26
Sieving end time  : 2022/09/17 21:54:37

Total sieving time: 1hrs 2min 11secs.

Total relation processing time: 0hrs 4min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 10sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

157272664283258425986110677619512334498660296483833229864039543814160015655573514410157943727007124843031807492995047374637457932269701005351<141>

41447864181613276176416804098823994697234965748295436956558549<62>
3794469688332608757255100236833078647504534386966080750799976819995259638841099<79>

Number: n
N=157272664283258425986110677619512334498660296483833229864039543814160015655573514410157943727007124843031807492995047374637457932269701005351  ( 141 digits)
SNFS difficulty: 169 digits.
Divisors found:

Thu Sep 15 02:49:21 2022  p62 factor: 41447864181613276176416804098823994697234965748295436956558549
Thu Sep 15 02:49:21 2022  p79 factor: 3794469688332608757255100236833078647504534386966080750799976819995259638841099
Thu Sep 15 02:49:21 2022  elapsed time 00:12:08 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 53x10^168-44 = 58(167)4
#
n: 157272664283258425986110677619512334498660296483833229864039543814160015655573514410157943727007124843031807492995047374637457932269701005351
m: 1000000000000000000000000000000000
deg: 5
c5: 13250
c0: -11
skew: 0.24
# Murphy_E = 1.922e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1540970 hash collisions in 12792585 relations (11971431 unique)
Msieve: matrix is 737302 x 737530 (255.9 MB)

Sieving start time : 2022/09/15 01:30:42
Sieving end time  : 2022/09/15 02:36:46

Total sieving time: 1hrs 6min 4secs.

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

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

296590755683790325773326955409798021592173041609236875549543775759350877868133854365146870444162329852623<105>

5143304196973408394763650879825803524950309<43>
57665412024106988989292990934310251371026070594347672244990947<62>

296590755683790325773326955409798021592173041609236875549543775759350877868133854365146870444162329852623=5143304196973408394763650879825803524950309*57665412024106988989292990934310251371026070594347672244990947

cado polynomial
n: 296590755683790325773326955409798021592173041609236875549543775759350877868133854365146870444162329852623
skew: 12347.927
c0: -3591826530872114498726895
c1: -513845323694827798631
c2: 79174598477634314
c3: 46884394551
c4: -226533459
c5: 14040
Y0: -123930032172911012044
Y1: 2414633235179363
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.304e-06
# f(x) = 14040*x^5-226533459*x^4+46884394551*x^3+79174598477634314*x^2-513845323694827798631*x-3591826530872114498726895
# g(x) = 2414633235179363*x-123930032172911012044

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

cado log (extracts)
Info:Square Root: Factors: 57665412024106988989292990934310251371026070594347672244990947 5143304196973408394763650879825803524950309
Info:Square Root: Total cpu/real time for sqrt: 66.4/20.1794
Info:Filtering - Singleton removal: Total cpu/real time for purge: 15.84/17.4385
Info:Filtering - Merging: Merged matrix has 226852 rows and total weight 32924228 (145.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 30.1/9.032
Info:Filtering - Merging: Total cpu/real time for replay: 7.23/5.79822
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4673505
Info:Lattice Sieving: Average J: 1906.88 for 43700 special-q, max bucket fill -bkmult 1.0,1s:1.321720
Info:Lattice Sieving: Total time: 4259.56s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 162.9
Info:Polynomial Selection (root optimized): Rootsieve time: 162.28
Info:Linear Algebra: Total cpu/real time for bwc: 602.37/157.02
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 355.14, WCT time 91.27, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7168 iterations)
Info:Linear Algebra: Lingen CPU time 31.77, WCT time 8.11
Info:Linear Algebra: Mksol: CPU time 198.89,  WCT time 51.14, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3584 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9836/30.760/36.911/42.450/1.071
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7458/29.050/32.774/37.350/0.879
Info:Polynomial Selection (size optimized): Total time: 516.44
Info:Generate Factor Base: Total cpu/real time for makefb: 1.46/0.410679
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 39.79/34.2499
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 29.6s
Info:Generate Free Relations: Total cpu/real time for freerel: 63.92/16.737
Info:Square Root: Total cpu/real time for sqrt: 66.4/20.1794
Info:Quadratic Characters: Total cpu/real time for characters: 8.64/3.32203
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.88/16.2941
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 16.2s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 9163.21/2698.65
Info:root: Cleaning up computation data in /tmp/cado.h24z6a7f
57665412024106988989292990934310251371026070594347672244990947 5143304196973408394763650879825803524950309

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)

14552585521006207687328858385799599604696851535015851899507122320178314150277321202917301824721566526035388113467263239411538015229306263094348647<146>

1479002250442517961673824730864978897082451356329<49>
9839461377866104865240892442877647799095433821705585044663558622924579130002227130493662119878543<97>

Number: n
N=14552585521006207687328858385799599604696851535015851899507122320178314150277321202917301824721566526035388113467263239411538015229306263094348647  ( 146 digits)
SNFS difficulty: 173 digits.
Divisors found:

Wed Sep 14 19:46:23 2022  p49 factor: 1479002250442517961673824730864978897082451356329
Wed Sep 14 19:46:23 2022  p97 factor: 9839461377866104865240892442877647799095433821705585044663558622924579130002227130493662119878543
Wed Sep 14 19:46:23 2022  elapsed time 00:14:54 (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 = 53x10^172-44 = 58(171)4
#
n: 14552585521006207687328858385799599604696851535015851899507122320178314150277321202917301824721566526035388113467263239411538015229306263094348647
m: 10000000000000000000000000000000000
deg: 5
c5: 1325
c0: -11
skew: 0.38
# Murphy_E = 1.498e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1671166 hash collisions in 13158898 relations (12208154 unique)
Msieve: matrix is 809470 x 809695 (279.9 MB)

Sieving start time : 2022/09/14 18:35:33
Sieving end time  : 2022/09/14 19:31:11

Total sieving time: 0hrs 55min 38secs.

Total relation processing time: 0hrs 9min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 57sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

98318636058797794490887757529594519731199463269834925576761792001461809306270252366499116611105086050026023584650481315566202476634551<134>

169333430253693119741955076007670996104265156389<48>
580621534161908290052313343699925450191635094942427804600890375201403972378897718668459<87>

Number: n
N=98318636058797794490887757529594519731199463269834925576761792001461809306270252366499116611105086050026023584650481315566202476634551  ( 134 digits)
SNFS difficulty: 174 digits.
Divisors found:

Mon Sep 19 17:14:20 2022  p48 factor: 169333430253693119741955076007670996104265156389
Mon Sep 19 17:14:20 2022  p87 factor: 580621534161908290052313343699925450191635094942427804600890375201403972378897718668459
Mon Sep 19 17:14:20 2022  elapsed time 00:18:43 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.307).
Factorization parameters were as follows:
#
# N = 53x10^173-44 = 58(172)4
#
n: 98318636058797794490887757529594519731199463269834925576761792001461809306270252366499116611105086050026023584650481315566202476634551
m: 10000000000000000000000000000000000
deg: 5
c5: 13250
c0: -11
skew: 0.24
# Murphy_E = 1.218e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1769395 hash collisions in 13010548 relations (11917472 unique)
Msieve: matrix is 915930 x 916155 (319.0 MB)

Sieving start time : 2022/09/19 15:55:47
Sieving end time  : 2022/09/19 16:55:19

Total sieving time: 0hrs 59min 32secs.

Total relation processing time: 0hrs 12min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 39sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6142308446907820346594783889818991672901980210274159373450502771542010305310824794403936712197033101441405854443554773823331209<127>

8174659645397444318123379605792412093414418602963533<52>
751383998031784361322877137416779520542340634692420078922093837474316080173<75>

n: 614230......331209
skew: 215303.89
c0: 1010193243496895687849826526545
c1: 33663075573868612837923269
c2: 311476997118637955270
c3: 141173458381197
c4: -7515074329
c5: 9900
Y0: -3618598890260017427806636
Y1: 63677902453997
rlim: 7800000
alim: 7800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

prp75 = 751383998031784361322877137416779520542340634692420078922093837474316080173
prp52 = 8174659645397444318123379605792412093414418602963533

09/21/22 16:20:41, Total factoring time = 22016.3970 seconds, (6.12 hours).

YAFU v2.10 (Win64)

Windows 10 v21H1, Intel i7-7700, 3.6 GHz.

4473680235346310044591311548336097151151553085210822153816401103895114367743083414511569066236942463300164068401325284322146569337509498613443966578367421<154>

220309721701438002717150250338501275173<39>
20306322393748044473217510694884586516185829777469945124914771442443505110440643574053137178723106252019222615246777<116>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 4473680235346310044591311548336097151151553085210822153816401103895114367743083414511569066236942463300164068401325284322146569337509498613443966578367421 (154 digits)
Using B1=15440000, B2=46847878360, polynomial Dickson(12), sigma=1:3547756397
Step 1 took 29649ms
Step 2 took 12089ms
********** Factor found in step 2: 220309721701438002717150250338501275173
Found prime factor of 39 digits: 220309721701438002717150250338501275173
Prime cofactor 20306322393748044473217510694884586516185829777469945124914771442443505110440643574053137178723106252019222615246777 has 116 digits

85374459013185459069211941770255201189448829687104644505533551979882463545474262351475029459515108848599507099244906128725576754373<131>

51845568411336013781189185195318531247039703160589<50>
1646706972828141780612666625144402011683535718035477263677222149061110528491247257<82>

New best polynomial is:
n: 853744.......754373
skew: 56386.866
c0: -211366975687765475402345267838
c1: -4412612727128999151029849
c2: 467538599472844282656
c3: 7590759091566257
c4: -87562152456
c5: 56880
Y0: -25245437966962756747836425
Y1: 2011007198687404859
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=2.181e+13) = 1.705e-06
# f(x) = 56880*x^5-87562152456*x^4+7590759091566257*
      x^3+467538599472844282656*x^2-4412612727128999151029849*
        x-211366975687765475402345267838
# g(x) = 2011007198687404859*x-25245437966962756747836425
Factors: 
    1646706972828141780612666625144402011683535718035477263677222149061110528491247257
        51845568411336013781189185195318531247039703160589

CADO-NFS v3.0.0

Ubuntu 20.04.4, Intel Xeon E5-1620.

18061068671567612536234284890394588286010699811686289358884177453432732317014150547992848799074802124237932398065802706047354422697664160335463070957176562483137<161>

4399866009724322197468402940127480287124980405460166873519<58>
4104913338644884330242263019040238192519149271975481025354212478634217189180559004228238662337156583823<103>

Number: n
N=18061068671567612536234284890394588286010699811686289358884177453432732317014150547992848799074802124237932398065802706047354422697664160335463070957176562483137  ( 161 digits)
SNFS difficulty: 179 digits.
Divisors found:

Tue Sep 27 00:36:52 2022  p58 factor: 4399866009724322197468402940127480287124980405460166873519
Tue Sep 27 00:36:52 2022  p103 factor: 4104913338644884330242263019040238192519149271975481025354212478634217189180559004228238662337156583823
Tue Sep 27 00:36:52 2022  elapsed time 00:30:20 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 53x10^178-44 = 58(177)4
#
n: 18061068671567612536234284890394588286010699811686289358884177453432732317014150547992848799074802124237932398065802706047354422697664160335463070957176562483137
m: 100000000000000000000000000000000000
deg: 5
c5: 13250
c0: -11
skew: 0.24
# Murphy_E = 7.68e-11
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4363817 hash collisions in 28884919 relations (25886979 unique)
Msieve: matrix is 1090362 x 1090588 (374.4 MB)

Sieving start time : 2022/09/26 21:24:37
Sieving end time  : 2022/09/27 00:05:42

Total sieving time: 2hrs 41min 5secs.

Total relation processing time: 0hrs 19min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 4sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6868549524595085971947063590923558473602419188028433556807114734794626984939899365815382559375208638505810521035284039719688676903639935563430283400669755526127571<163>

141425869119965847758436798090293027<36>
7490202676624310875323016533452710949<37>
6483994059425164485505766149648380957950942484036021918324755812204749826084489990192737277<91>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 6868549524595085971947063590923558473602419188028433556807114734794626984939899365815382559375208638505810521035284039719688676903639935563430283400669755526127571 (163 digits)
Using B1=11360000, B2=35133715900, polynomial Dickson(12), sigma=1:1926957406
Step 1 took 26688ms
Step 2 took 11283ms
********** Factor found in step 2: 7490202676624310875323016533452710949
Found prime factor of 37 digits: 7490202676624310875323016533452710949
Composite cofactor 917004495222899372030198766109727704633587944418389357886163723913248596939470532978486631931300004883501841188821608156067479 has 126 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 917004495222899372030198766109727704633587944418389357886163723913248596939470532978486631931300004883501841188821608156067479 (126 digits)
Using B1=13510000, B2=46846254010, polynomial Dickson(12), sigma=1:612230379
Step 1 took 20762ms
Step 2 took 10378ms
********** Factor found in step 2: 141425869119965847758436798090293027
Found prime factor of 36 digits: 141425869119965847758436798090293027
Prime cofactor 6483994059425164485505766149648380957950942484036021918324755812204749826084489990192737277 has 91 digits

838140467441998477731493966540489280619390460060629799724025769141499609725897481851040373043842431524790589557799150064545592430705976376177326452326177263182841826885937<171>

9559155756100385974050129726236704322622088825821128799038697893<64>
87679339978022709998797897701440822885364863677633323989154501219032486320631549855463556182303918267409309<107>

Number: n
N=838140467441998477731493966540489280619390460060629799724025769141499609725897481851040373043842431524790589557799150064545592430705976376177326452326177263182841826885937  ( 171 digits)
SNFS difficulty: 182 digits.
Divisors found:

Mon Sep 19 10:48:13 2022  p64 factor: 9559155756100385974050129726236704322622088825821128799038697893
Mon Sep 19 10:48:13 2022  p107 factor: 87679339978022709998797897701440822885364863677633323989154501219032486320631549855463556182303918267409309
Mon Sep 19 10:48:13 2022  elapsed time 00:20:33 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.310).
Factorization parameters were as follows:
#
# N = 53x10^181-44 = 58(180)4
#
n: 838140467441998477731493966540489280619390460060629799724025769141499609725897481851040373043842431524790589557799150064545592430705976376177326452326177263182841826885937
m: 1000000000000000000000000000000000000
deg: 5
c5: 265
c0: -22
skew: 0.61
# Murphy_E = 8.004e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3374585 hash collisions in 30299774 relations (28761505 unique)
Msieve: matrix is 859339 x 859568 (294.0 MB)

Sieving start time : 2022/09/19 08:21:13
Sieving end time  : 2022/09/19 10:27:08

Total sieving time: 2hrs 5min 55secs.

Total relation processing time: 0hrs 11min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 48sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3504439171499622385722954136569108494198808500118181469098276704708423547746387699358643260511211888987561553265514800021606752558221221<136>

8865586078486165353974581006733660913319757759<46>
395285674345177587472503013066693894407617000774481256188094391956879586832220292418808219<90>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3504439171499622385722954136569108494198808500118181469098276704708423547746387699358643260511211888987561553265514800021606752558221221 (136 digits)
Using B1=27670000, B2=144287213086, polynomial Dickson(12), sigma=1:3235437879
Step 1 took 56265ms
********** Factor found in step 1: 8865586078486165353974581006733660913319757759
Found prime factor of 46 digits: 8865586078486165353974581006733660913319757759
Prime cofactor 395285674345177587472503013066693894407617000774481256188094391956879586832220292418808219 has 90 digits

46328280166960765377799058073800232005976859202088096504949627554271762873776850424920254505209219644618134029319198885092525241918972318663868198896930259234567431456972483<173>

11168937223541089020067263816561633865120980949772079073478226981209<68>
4147957790407606713227116979460828405892711490620473244075831536192162844365478662861606114578128445329787<106>

Number: n
N=46328280166960765377799058073800232005976859202088096504949627554271762873776850424920254505209219644618134029319198885092525241918972318663868198896930259234567431456972483  ( 173 digits)
SNFS difficulty: 189 digits.
Divisors found:

Mon Sep 19 07:29:29 2022  p68 factor: 11168937223541089020067263816561633865120980949772079073478226981209
Mon Sep 19 07:29:29 2022  p106 factor: 4147957790407606713227116979460828405892711490620473244075831536192162844365478662861606114578128445329787
Mon Sep 19 07:29:29 2022  elapsed time 00:37:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 53x10^188-44 = 58(187)4
#
n: 46328280166960765377799058073800232005976859202088096504949627554271762873776850424920254505209219644618134029319198885092525241918972318663868198896930259234567431456972483
m: 10000000000000000000000000000000000000
deg: 5
c5: 13250
c0: -11
skew: 0.24
# Murphy_E = 3.015e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4154021 hash collisions in 31057017 relations (28582885 unique)
Msieve: matrix is 1264011 x 1264236 (438.7 MB)

Sieving start time : 2022/09/19 00:40:34
Sieving end time  : 2022/09/19 06:50:58

Total sieving time: 6hrs 10min 24secs.

Total relation processing time: 0hrs 28min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 46sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1206922197648823310858102723063301649052252706583399433418595818414687020093945785311777377108481587060227760399120033103729432503508668060152820812144199<154>

3073732035858216854082712291031737442599721308106713151035280917417457575877<76>
392656934166298758728374035021871635581964675640841934273939561190868966277787<78>

Number: n
N=1206922197648823310858102723063301649052252706583399433418595818414687020093945785311777377108481587060227760399120033103729432503508668060152820812144199  ( 154 digits)
SNFS difficulty: 192 digits.
Divisors found:

Sun Apr  9 09:15:28 2023  prp76 factor: 3073732035858216854082712291031737442599721308106713151035280917417457575877
Sun Apr  9 09:15:28 2023  prp78 factor: 392656934166298758728374035021871635581964675640841934273939561190868966277787
Sun Apr  9 09:15:28 2023  elapsed time 01:22:35 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
#
# N = 53x10^191-44 = 58(190)4
#
n: 1206922197648823310858102723063301649052252706583399433418595818414687020093945785311777377108481587060227760399120033103729432503508668060152820812144199
m: 100000000000000000000000000000000000000
deg: 5
c5: 265
c0: -22
skew: 0.61
# Murphy_E = 3.12e-11
type: snfs
lss: 1
rlim: 11300000
alim: 11300000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11300000/11300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 24050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1664207 hash collisions in 14131554 relations (13289678 unique)
Msieve: matrix is 1648661 x 1648887 (470.0 MB)

Sieving start time: 2023/04/09 00:20:53
Sieving end time  : 2023/04/09 07:52:38

Total sieving time: 7hrs 31min 45secs.

Total relation processing time: 1hrs 16min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 12sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11300000,11300000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1353622675344174078489574895674991751238983391776219260506489362474399129547785156900332157794694415546523560511677381203320603651746244297378743723667<151>

232087543660846363038580994792009417<36>

5832379687391783772800846200491037534920935828878619103178374343988165477705617163381702960021974506515364588080251<115>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:648287481
Step 1 took 3485ms
Step 2 took 2843ms
********** Factor found in step 2: 232087543660846363038580994792009417
Found prime factor of 36 digits: 232087543660846363038580994792009417
Composite cofactor 5832379687391783772800846200491037534920935828878619103178374343988165477705617163381702960021974506515364588080251 has 115 digits
 

GMP-ECM

5832379687391783772800846200491037534920935828878619103178374343988165477705617163381702960021974506515364588080251<115>

354432304221912845809917231536383310406587687131<48>
16455553339573937656199380751603811440296410550944591641012548535521<68>

5832379687391783772800846200491037534920935828878619103178374343988165477705617163381702960021974506515364588080251=354432304221912845809917231536383310406587687131*16455553339573937656199380751603811440296410550944591641012548535521

cado polynomial
n: 5832379687391783772800846200491037534920935828878619103178374343988165477705617163381702960021974506515364588080251
skew: 31241.815
c0: 605118898563526181079469686
c1: -65381068334016990333185
c2: -8960222598494800954
c3: 107777699563717
c4: 2692513080
c5: 28800
Y0: -16271355091672933830552
Y1: 11085910372879111
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.035e-06
# f(x) = 28800*x^5+2692513080*x^4+107777699563717*x^3-8960222598494800954*x^2-65381068334016990333185*x+605118898563526181079469686
# g(x) = 11085910372879111*x-16271355091672933830552

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: 354432304221912845809917231536383310406587687131 16455553339573937656199380751603811440296410550944591641012548535521
Info:Square Root: Total cpu/real time for sqrt: 144.84/43.2628
Info:Filtering - Singleton removal: Total cpu/real time for purge: 87.58/99.2699
Info:Filtering - Merging: Merged matrix has 445020 rows and total weight 69431707 (156.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 72.05/21.187
Info:Filtering - Merging: Total cpu/real time for replay: 15.51/12.7461
Info:Generate Factor Base: Total cpu/real time for makefb: 4.04/1.13854
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7052766
Info:Lattice Sieving: Average J: 1888.07 for 141933 special-q, max bucket fill -bkmult 1.0,1s:1.253580
Info:Lattice Sieving: Total time: 16103.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 334.09
Info:Polynomial Selection (root optimized): Rootsieve time: 332.97
Info:Linear Algebra: Total cpu/real time for bwc: 2701.18/696.57
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1666.83, WCT time 426.61, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13952 iterations)
Info:Linear Algebra: Lingen CPU time 68.92, WCT time 17.55
Info:Linear Algebra: Mksol: CPU time 927.25,  WCT time 236.82, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7040 iterations)
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): 21933/33.270/40.950/47.840/1.085
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17250/33.070/36.236/41.380/0.832
Info:Polynomial Selection (size optimized): Total time: 1829.93
Info:Generate Free Relations: Total cpu/real time for freerel: 64.13/16.9407
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 116.72/125.43
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 93.9s
Info:Square Root: Total cpu/real time for sqrt: 144.84/43.2628
Info:Quadratic Characters: Total cpu/real time for characters: 16.49/6.51394
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.2/29.0039
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 28.199999999999996s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 34921.8/9593.09
Info:root: Cleaning up computation data in /tmp/cado.2p0upim8
354432304221912845809917231536383310406587687131 16455553339573937656199380751603811440296410550944591641012548535521

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)

252437496937766458137481130225659327352225980416417198882546649215824444394642812973099423948491563356906823184163786873990515547917882855752738961606986851109961863209957907466751176263<186>

1382166703613052037650252258564713409092246770757<49>
22910658975513163757611338291946270484795487803099300013628005229<65>
7971790149079028863719701725923095131834325936450657161593381608233154471<73>

Number: n
N=252437496937766458137481130225659327352225980416417198882546649215824444394642812973099423948491563356906823184163786873990515547917882855752738961606986851109961863209957907466751176263  ( 186 digits)
SNFS difficulty: 194 digits.
Divisors found:

Tue Sep 20 09:55:20 2022  found factor: 7971790149079028863719701725923095131834325936450657161593381608233154471
Tue Sep 20 10:00:19 2022  p49 factor: 1382166703613052037650252258564713409092246770757
Tue Sep 20 10:00:19 2022  p65 factor: 22910658975513163757611338291946270484795487803099300013628005229
Tue Sep 20 10:00:19 2022  p73 factor: 7971790149079028863719701725923095131834325936450657161593381608233154471
Tue Sep 20 10:00:19 2022  elapsed time 01:11:42 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 53x10^193-44 = 58(192)4
#
n: 252437496937766458137481130225659327352225980416417198882546649215824444394642812973099423948491563356906823184163786873990515547917882855752738961606986851109961863209957907466751176263
m: 100000000000000000000000000000000000000
deg: 5
c5: 13250
c0: -11
skew: 0.24
# Murphy_E = 1.877e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3935655 hash collisions in 29438003 relations (27061962 unique)
Msieve: matrix is 1663411 x 1663636 (580.4 MB)

Sieving start time : 2022/09/20 01:40:05
Sieving end time  : 2022/09/20 08:48:06

Total sieving time: 7hrs 8min 1secs.

Total relation processing time: 0hrs 55min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 28sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

14875389492057463061751431484123840452917503635265735540628695027279554494017611280859126413326869435619034930747086193270696787585804732092918114580985893<155>

2140956088925112603524025185954903371556478052446330787113616807026719<70>
6948012417912687803104052989130818870369476422045144981570134089970643565251652357947<85>

Number: n
N=14875389492057463061751431484123840452917503635265735540628695027279554494017611280859126413326869435619034930747086193270696787585804732092918114580985893  ( 155 digits)
SNFS difficulty: 195 digits.
Divisors found:

Thu Dec 22 20:16:09 2022  p70 factor: 2140956088925112603524025185954903371556478052446330787113616807026719
Thu Dec 22 20:16:09 2022  p85 factor: 6948012417912687803104052989130818870369476422045144981570134089970643565251652357947
Thu Dec 22 20:16:09 2022  elapsed time 01:21:55 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 53x10^194-44 = 58(193)4
#
n: 14875389492057463061751431484123840452917503635265735540628695027279554494017611280859126413326869435619034930747086193270696787585804732092918114580985893
m: 500000000000000000000000000000000000000
deg: 5
c5: 212
c0: -55
skew: 0.76
# Murphy_E = 1.704e-11
type: snfs
lss: 1
rlim: 12800000
alim: 12800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 12800000/12800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 26447261)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2318789 hash collisions in 14982415 relations (13182683 unique)
Msieve: matrix is 1837970 x 1838195 (640.3 MB)

Sieving start time : 2022/12/22 08:37:18
Sieving end time  : 2022/12/22 18:03:21

Total sieving time: 9hrs 26min 3secs.

Total relation processing time: 1hrs 3min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 57sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12800000,12800000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1592809014265197531759109094434581049756107881615702187750228793491049074505835511274262838972297985835900761146327216826506553898192696712213791754586718954078654952728433756635852724430697<190>

67975031951906343235864798148685571877047<41>
16082159565541978073886676334928161911654595335303253646635520853223179<71>
1457034776468074747796915674067626373471312257018224253544526337824732841513469<79>

Number: n
N=23432265767703366124153201238497619460230972903731404424733703730137520705139833858034064532388931793658488832610624012609168855843113680705191497951  ( 149 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sun Sep 25 08:37:18 2022  p71 factor: 16082159565541978073886676334928161911654595335303253646635520853223179
Sun Sep 25 08:37:18 2022  p79 factor: 1457034776468074747796915674067626373471312257018224253544526337824732841513469
Sun Sep 25 08:37:18 2022  elapsed time 01:10:17 (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 = 53x10^195-44 = 58(194)4
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 1592809014265197531759109094434581049756107881615702187750228793491049074505835511274262838972297985835900761146327216826506553898192696712213791754586718954078654952728433756635852724430697 (190 digits)
# Using B1=21590000, B2=96186870796, polynomial Dickson(12), sigma=1:3417896520
# Step 1 took 58851ms
# Step 2 took 22111ms
# ********** Factor found in step 2: 67975031951906343235864798148685571877047
# Found prime factor of 41 digits: 67975031951906343235864798148685571877047
# Composite cofactor 23432265767703366124153201238497619460230972903731404424733703730137520705139833858034064532388931793658488832610624012609168855843113680705191497951 has 149 digits
#
n: 23432265767703366124153201238497619460230972903731404424733703730137520705139833858034064532388931793658488832610624012609168855843113680705191497951
m: 1000000000000000000000000000000000000000
deg: 5
c5: 53
c0: -44
skew: 0.96
# Murphy_E = 1.934e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3346602 hash collisions in 27689871 relations (25892755 unique)
Msieve: matrix is 1715840 x 1716065 (599.0 MB)

Sieving start time : 2022/09/25 00:43:22
Sieving end time  : 2022/09/25 07:26:31

Total sieving time: 6hrs 43min 9secs.

Total relation processing time: 1hrs 0min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 10sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

263562947802026543661182506534277466336879997480457568272008292354715395648473887087202415029080948859950313749609745326921023848044777566527599517226676167504242861198146061226890136856463<189>

3066395057325525107698440945442601855588469115535093704941791<61>
85952052124654528047134903597982114693297121551987965107600952451628694510886663469983057065551746504167583186273793262037638993<128>

Number: n
N=263562947802026543661182506534277466336879997480457568272008292354715395648473887087202415029080948859950313749609745326921023848044777566527599517226676167504242861198146061226890136856463  ( 189 digits)
SNFS difficulty: 197 digits.
Divisors found:

Thu Sep 29 17:06:04 2022  p61 factor: 3066395057325525107698440945442601855588469115535093704941791
Thu Sep 29 17:06:04 2022  p128 factor: 85952052124654528047134903597982114693297121551987965107600952451628694510886663469983057065551746504167583186273793262037638993
Thu Sep 29 17:06:04 2022  elapsed time 01:06:27 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 53x10^196-44 = 58(195)4
#
n: 263562947802026543661182506534277466336879997480457568272008292354715395648473887087202415029080948859950313749609745326921023848044777566527599517226676167504242861198146061226890136856463
m: 1000000000000000000000000000000000000000
deg: 5
c5: 265
c0: -22
skew: 0.61
# Murphy_E = 1.936e-11
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3291820 hash collisions in 27901094 relations (26196658 unique)
Msieve: matrix is 1661668 x 1661893 (581.6 MB)

Sieving start time : 2022/09/29 10:21:41
Sieving end time  : 2022/09/29 15:59:06

Total sieving time: 5hrs 37min 25secs.

Total relation processing time: 0hrs 54min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 21sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13700000,13700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

147222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<198>

331119729393984528857038119740168275544626671649902983191283<60>
444619299767091488779088978446818029233899514488488807803424195615520038694525609673413108798958070482014349635219545705863516369808828287<138>

Number: n
N=147222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221  ( 198 digits)
SNFS difficulty: 198 digits.
Divisors found:

Thu Sep 29 00:37:55 2022  p60 factor: 331119729393984528857038119740168275544626671649902983191283
Thu Sep 29 00:37:55 2022  p138 factor: 444619299767091488779088978446818029233899514488488807803424195615520038694525609673413108798958070482014349635219545705863516369808828287
Thu Sep 29 00:37:55 2022  elapsed time 01:31:22 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.307).
Factorization parameters were as follows:
#
# N = 53x10^197-44 = 58(196)4
#
n: 147222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1325
c0: -11
skew: 0.38
# Murphy_E = 1.435e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3716076 hash collisions in 28339735 relations (25396576 unique)
Msieve: matrix is 1993107 x 1993332 (696.0 MB)

Sieving start time : 2022/09/28 14:40:50
Sieving end time  : 2022/09/28 22:49:47

Total sieving time: 8hrs 8min 57secs.

Total relation processing time: 1hrs 20min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 7sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14000000,14000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

47974298952771064727208065288271788763990592886644121256423601139956086351793830641191570951378613266941052233751057151461272055471708403202067313923017830812769847145633453853259184247<185>

1336667892137304435136747189267466179291<40>

35890963817542702083343626142996840164141406471763640386492688682191166983564596299581288452986837203299501004268221281656324570876893090768039317<146>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4087888690
Step 1 took 8546ms
********** Factor found in step 1: 1336667892137304435136747189267466179291
Found prime factor of 40 digits: 1336667892137304435136747189267466179291
Composite cofactor 35890963817542702083343626142996840164141406471763640386492688682191166983564596299581288452986837203299501004268221281656324570876893090768039317 has 146 digits

GMP-ECM

35890963817542702083343626142996840164141406471763640386492688682191166983564596299581288452986837203299501004268221281656324570876893090768039317<146>

2048230414156333130290343648198890597823182342387<49>
17522913227673266161477570595753643950751936301973094200078146824581072432509916091352896271618391<98>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 35890963817542702083343626142996840164141406471763640386492688682191166983564596299581288452986837203299501004268221281656324570876893090768039317 (146 digits)
Using B1=41460000, B2=192395152966, polynomial Dickson(12), sigma=1:4080247990
Step 1 took 75625ms
Step 2 took 23476ms
********** Factor found in step 2: 2048230414156333130290343648198890597823182342387
Found prime factor of 49 digits: 2048230414156333130290343648198890597823182342387
Prime cofactor 17522913227673266161477570595753643950751936301973094200078146824581072432509916091352896271618391 has 98 digits

18128923870887359186734328796936890104236064979543650594813188333231157851014977638111689868393484210208365599510392936610886396343<131>

490259745087366308036538352167278957861231568443<48>
36978201968543654757771750111533880711553624308299073919152801063238032436298565301<83>

18128923870887359186734328796936890104236064979543650594813188333231157851014977638111689868393484210208365599510392936610886396343=490259745087366308036538352167278957861231568443*36978201968543654757771750111533880711553624308299073919152801063238032436298565301

cado polynomial
n: 18128923870887359186734328796936890104236064979543650594813188333231157851014977638111689868393484210208365599510392936610886396343
skew: 23254.198
c0: 2246393909514704215090182974
c1: -1997499778301326969372109
c2: 44012289137278447814
c3: 7236715571628577
c4: 51481241400
c5: -2109360
Y0: -8077140613666277924740098
Y1: 5262990808819793
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.531e-07
# f(x) = -2109360*x^5+51481241400*x^4+7236715571628577*x^3+44012289137278447814*x^2-1997499778301326969372109*x+2246393909514704215090182974
# g(x) = 5262990808819793*x-8077140613666277924740098

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

cado log (extracts)
Info:Square Root: Factors: 490259745087366308036538352167278957861231568443 36978201968543654757771750111533880711553624308299073919152801063238032436298565301
Info:Square Root: Total cpu/real time for sqrt: 736.1/222.074
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24284480
Info:Lattice Sieving: Average J: 7592.25 for 69548 special-q, max bucket fill -bkmult 1.0,1s:1.068730
Info:Lattice Sieving: Total time: 94958.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5629.23
Info:Polynomial Selection (root optimized): Rootsieve time: 5626.61
Info:Linear Algebra: Total cpu/real time for bwc: 48248.3/12405.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 30879.62, WCT time 7892.64, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (54016 iterations)
Info:Linear Algebra: Lingen CPU time 337.67, WCT time 85.77
Info:Linear Algebra: Mksol: CPU time 16716.54,  WCT time 4310.8, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26880 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38752/38.640/46.522/49.740/0.839
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30766/38.230/41.793/47.340/1.034
Info:Polynomial Selection (size optimized): Total time: 4944.74
Info:Generate Factor Base: Total cpu/real time for makefb: 39.35/10.8278
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 379.18/356.886
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 306.70000000000005s
Info:Generate Free Relations: Total cpu/real time for freerel: 257.37/65.0891
Info:Quadratic Characters: Total cpu/real time for characters: 66.91/29.4103
Info:Square Root: Total cpu/real time for sqrt: 736.1/222.074
Info:Filtering - Singleton removal: Total cpu/real time for purge: 258.83/288.33
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.78/112.329
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 111.89999999999999s
Info:Filtering - Merging: Merged matrix has 1720291 rows and total weight 293673724 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 435.44/122.144
Info:Filtering - Merging: Total cpu/real time for replay: 67.65/56.9019
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 239136/64329.2
Info:root: Cleaning up computation data in /tmp/cado.er9ka8ah
490259745087366308036538352167278957861231568443 36978201968543654757771750111533880711553624308299073919152801063238032436298565301

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)

76270684272869735807010021567476763137180854395387051545087531393833973179741079443901482629837851986664895662991910998956901397383651746605525809013682124421603262734308921268379952734009363<191>

6507484406042270032009236685004814871187329<43>

11720455941784751125716017864958312812828030033099365552167744691016886416534423241194449880369102339839389166796512478424284421914042723850615968147<149>

Resuming ECM residue saved by @577fe96e60cb with GMP-ECM 7.0.5-dev on Tue Sep 20 19:07:26 2022 
Input number is 76270684272869735807010021567476763137180854395387051545087531393833973179741079443901482629837851986664895662991910998956901397383651746605525809013682124421603262734308921268379952734009363 (191 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2352119290
Step 1 took 0ms
Step 2 took 4607ms
********** Factor found in step 2: 6507484406042270032009236685004814871187329
Found prime factor of 43 digits: 6507484406042270032009236685004814871187329
Composite cofactor 11720455941784751125716017864958312812828030033099365552167744691016886416534423241194449880369102339839389166796512478424284421914042723850615968147 has 149 digits

11720455941784751125716017864958312812828030033099365552167744691016886416534423241194449880369102339839389166796512478424284421914042723850615968147<149>

324618830588775141737903803848833198571846011123120304456083<60>
36105286685084952835969108070549805379294992834668091120296765187539527667642089568759809<89>

324618830588775141737903803848833198571846011123120304456083
36105286685084952835969108070549805379294992834668091120296765187539527667642089568759809

cado-nfs

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

2195347850795875728399848231046692149270398923699649904150284401100821971372664025621780501665979067151134373513998034956565249880291409645281493300461105891982258275632964349207769377465624166389141561<202>

113955539155688005533239549218985269398586256333320364023027661067759400173844009517627857876283803<99>
19264950761160929331382812378170727562026843794070070436376513636752118727915169165702995292045376076987<104>

Number: n
N=2195347850795875728399848231046692149270398923699649904150284401100821971372664025621780501665979067151134373513998034956565249880291409645281493300461105891982258275632964349207769377465624166389141561  ( 202 digits)
SNFS difficulty: 207 digits.
Divisors found:

Thu Jun 27 09:01:20 2024  prp99 factor: 113955539155688005533239549218985269398586256333320364023027661067759400173844009517627857876283803
Thu Jun 27 09:01:20 2024  prp104 factor: 19264950761160929331382812378170727562026843794070070436376513636752118727915169165702995292045376076987
Thu Jun 27 09:01:20 2024  elapsed time 03:33:00 (Msieve 1.44 - dependency 6)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.053).
Factorization parameters were as follows:
#
# N = 53x10^206-44 = 58(205)4
#
n: 2195347850795875728399848231046692149270398923699649904150284401100821971372664025621780501665979067151134373513998034956565249880291409645281493300461105891982258275632964349207769377465624166389141561
m: 100000000000000000000000000000000000000000
deg: 5
c5: 265
c0: -22
skew: 0.61
# Murphy_E = 7.359e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 50000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 6100745 hash collisions in 23223908 relations (16385581 unique)
Msieve: matrix is 2473764 x 2473989 (699.9 MB)

Sieving start time: 2024/06/26 07:39:51
Sieving end time  : 2024/06/27 05:21:36

Total sieving time: 21hrs 41min 45secs.

Total relation processing time: 3hrs 8min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 19min 0sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3830919131465579553011247000318038569404689623268858241535837164252464798912886344580333651371902738022956602191574869170497585798132246219677913666984705236071356289935524908202503830919131465579553011247<205>

188753475398883570447838381850496668370454080409325309369936738923889863478059589303191481135832595747796433831217265460102655370017643920718430929<147>

6608390888597407890573424174034065209314015797831810874471141831<64>
28562698330174803831810438641838133785859772718178168445545740312101388017882465959<83>

188753475398883570447838381850496668370454080409325309369936738923889863478059589303191481135832595747796433831217265460102655370017643920718430929=6608390888597407890573424174034065209314015797831810874471141831*28562698330174803831810438641838133785859772718178168445545740312101388017882465959

cado polynomial
n: 188753475398883570447838381850496668370454080409325309369936738923889863478059589303191481135832595747796433831217265460102655370017643920718430929
skew: 747429.032
c0: 16412505085227066092667050042311223
c1: 182760793434107738709354135727
c2: 334800891667660496136925
c3: -832350306240308803
c4: -227443835388
c5: 263340
Y0: -27260283496793966389209259246
Y1: 3952650598112972561
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.486e-07
# f(x) = 263340*x^5-227443835388*x^4-832350306240308803*x^3+334800891667660496136925*x^2+182760793434107738709354135727*x+16412505085227066092667050042311223
# g(x) = 3952650598112972561*x-27260283496793966389209259246

cado parameters (extracts)
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 87
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6608390888597407890573424174034065209314015797831810874471141831 28562698330174803831810438641838133785859772718178168445545740312101388017882465959
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2149.04/427.136
Info:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 81888.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56744/44.040/52.736/57.350/0.900
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 46566/43.300/47.226/53.480/1.154
Info:Polynomial Selection (size optimized): Total time: 70367.5
Info:Quadratic Characters: Total cpu/real time for characters: 195.55/50.0074
Info:Linear Algebra: Total cpu/real time for bwc: 242422/64204
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 157331.27, WCT time 41648.98, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.01, comm-wait 0.0 (115712 iterations)
Info:Linear Algebra: Lingen CPU time 824.26, WCT time 199.93
Info:Linear Algebra: Mksol: CPU time 82671.7,  WCT time 21827.95, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.01, comm-wait 0.0 (57856 iterations)
Info:Filtering - Merging: Merged matrix has 3698814 rows and total weight 631075020 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 2048.69/283.312
Info:Filtering - Merging: Total cpu/real time for replay: 150.31/131.184
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 50083066
Info:Lattice Sieving: Average J: 3826.02 for 1378798 special-q, max bucket fill -bkmult 1.0,1s:1.116520
Info:Lattice Sieving: Total time: 2.25199e+06s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1532.97/952.266
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 443.39/259.602
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 258.4s
Info:Generate Free Relations: Total cpu/real time for freerel: 786.14/99.7167
Info:Square Root: Total cpu/real time for sqrt: 2149.04/427.136
Info:Generate Factor Base: Total cpu/real time for makefb: 23.65/3.8777
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1998.82/1475.22
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 937.5999999999999s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 9490.65
Info:Polynomial Selection (root optimized): Rootsieve time: 9486.3
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 4.54247e+06/640715
6608390888597407890573424174034065209314015797831810874471141831 28562698330174803831810438641838133785859772718178168445545740312101388017882465959

cado-nfs-3.0.0

Linux Ubuntu 24.04.1 LTS [6.8.0-45-generic|libc 2.39 (Ubuntu GLIBC 2.39-0ubuntu8.3)]
Intel(R) Core(TM) i7-8550U CPU @ 1.80GHz (8 processeurs)

544847913254891538205901432812611831622533279475140050206827737185831224138656408261935869547882979980355126878307955523857732176768000353575592101261600736948452071<165>

32416871338163220076772805220174381907707823<44>
16807541590648867755860715439430073257855626918575934696490670153133107488005758040897069766343678943852845577938148283977<122>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1504294132
Step 1 took 46010ms
Step 2 took 19824ms
********** Factor found in step 2: 32416871338163220076772805220174381907707823
Found prime factor of 44 digits: 32416871338163220076772805220174381907707823
Prime cofactor 16807541590648867755860715439430073257855626918575934696490670153133107488005758040897069766343678943852845577938148283977 has 122 digits

108122495701124664818149770086049576254811747305838478469100964629011572416615710927548382457039224977829121339996326061673908875017849705073<141>

1184691802500116968144744033620517729974007313300973644011<58>
91266349166043114882286236502321345378624669382842173799524527006867882514161146643<83>

Number: 58884_214
N = 108122495701124664818149770086049576254811747305838478469100964629011572416615710927548382457039224977829121339996326061673908875017849705073 (141 digits)
Divisors found:
r1=1184691802500116968144744033620517729974007313300973644011 (pp58)
r2=91266349166043114882286236502321345378624669382842173799524527006867882514161146643 (pp83)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 40.97 hours.
Factorization parameters were as follows:
n: 108122495701124664818149770086049576254811747305838478469100964629011572416615710927548382457039224977829121339996326061673908875017849705073
# norm 1.666554e-13 alpha -8.368794 e 1.951e-11 rroots 5
skew: 14478104.62
c0: 118128691637022184165444607815739632960
c1: 23471458100759907205580449387092
c2: -2991960918117299156346596
c3: -425776226257932855
c4: 20224995298
c5: 336
Y0: -3173320036372491293948466483
Y1: 900096298052951
type: gnfs
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23031131
Relations: 3660568 relations
Pruned matrix : 2193199 x 2193428
Polynomial selection time: 0.69 hours.
Total sieving time: 38.05 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.97 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,12900000,12900000,28,28,56,56,2.5,2.5,100000
total time: 40.97 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

66739850616047402108591947566365628147138291635601481842012807313494663518518618091017657756032532356139912815715430871635133596402308218381102840556756650509610035554825977872767094053852757603495683841737<206>

30021074538956066937338502549893300506279993696579034086160722574848412955748295122538219030653465733034644646602056334595941325816049877371089966559062860189751078788661895261050763370287787627<194>

61252355748886121686214455410385337886034871423372012804138050734176104986968286925285696511951952008222711458698465189114876945652267933539425156068493386540619096046236294708894160055719954403<194>

41493156191864372196101561127809033018983153961969716606547685968704163842542076825749000214517376562317818230646597653765586028269358869126398913774254518884528295037088831419356011166304957367<194>

4954857236537687590521659231097193947161<40>
8374238491855842459425779458662624733644513981118848802532383463742146233695037723879762980496929370588551328299795849878773352848103482087535860568992847<154>

Resuming ECM residue saved by @6e91b144f30c with GMP-ECM 7.0.5-dev on Tue Mar 12 22:34:02 2024 
Input number is 41493156191864372196101561127809033018983153961969716606547685968704163842542076825749000214517376562317818230646597653765586028269358869126398913774254518884528295037088831419356011166304957367 (194 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:138404740
Step 1 took 0ms
Step 2 took 27316ms
********** Factor found in step 2: 4954857236537687590521659231097193947161
Found prime factor of 40 digits: 4954857236537687590521659231097193947161
Prime cofactor 8374238491855842459425779458662624733644513981118848802532383463742146233695037723879762980496929370588551328299795849878773352848103482087535860568992847 has 154 digits

331455955944257866282325065349728847529551466599054246669672907858562803916091234711484040582696482630413245859933141542693418041674321724452710767<147>

20630314967880001139441537179435836675611461231274421641067975131267<68>
16066451552499914414386792559415441553346848064713080758305962328064080451438501<80>

16066451552499914414386792559415441553346848064713080758305962328064080451438501
20630314967880001139441537179435836675611461231274421641067975131267

cado-nfs

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

7672021084838096045745160268942295108991615658422502914093085396272985963108127160143171384387787323252966475179041930122345270392629124692343954321565453585566364489745064959853576383365741783730041<199>

817579776488502305719566680958429841247<39>
9383819543322557140131313453615172592761608133636473658348506433218268519267722143462835208951789780681712709216578566174070569161107675531515358833364935972903<160>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:244007597
Step 1 took 56807ms
********** Factor found in step 1: 817579776488502305719566680958429841247
Found prime factor of 39 digits: 817579776488502305719566680958429841247
Prime cofactor 9383819543322557140131313453615172592761608133636473658348506433218268519267722143462835208951789780681712709216578566174070569161107675531515358833364935972903 has 160 digits

398339730158460429782647025238509745613153939216350014003067572807020188249458888135469631638862641776546352489465652881437325872677842099995318804155521189438445858125655591406051490636471858149069773405517533697<213>

153686675800447175303343508371908501407383342792989<51>
2591895023324470906015636361718857495247626419511216740917975783418865526161029875660037044469391026365677121317508581358790480840001258948821887501778983117259573<163>

Resuming ECM residue saved by @f1a0eb35ba85 with GMP-ECM 7.0.5-dev on Tue Mar 19 14:27:23 2024 
Input number is 398339730158460429782647025238509745613153939216350014003067572807020188249458888135469631638862641776546352489465652881437325872677842099995318804155521189438445858125655591406051490636471858149069773405517533697 (213 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:2842531854
Step 1 took 0ms
Step 2 took 29860ms
********** Factor found in step 2: 153686675800447175303343508371908501407383342792989
Found prime factor of 51 digits: 153686675800447175303343508371908501407383342792989
Prime cofactor 2591895023324470906015636361718857495247626419511216740917975783418865526161029875660037044469391026365677121317508581358790480840001258948821887501778983117259573 has 163 digits

934930541910939250704525292126802734099129138946561932459573170718715214356212065347816939769087386348435548059373393329379144971518641430753283838570847991393975827786004883359118293463<186>

39026732781781036937050056747814878504479105484899496737762770305410250929521048913691629372573549706965199670926589184022296546793921502424944450232182551327443507184320784780764162278515559752181130459828870869436374747<221>

1413970118684447587214894442512839939474027389863890614248409093585722559031422872465839830294274779029631622037030098236894103451201817850906533561357539999913028261321982270157102572806837336339<196>

7895458025122903709813822466206278323042071900272677112043395720782777903802605465051183870387632995183063873601735349618936055613747062487266732433607324783196594391<166>

249891819272827335057003829634089611684660019967772930646995141946008072369114114132354919580780470170922108696996740496233830792651902589269444723048148669315259860839483218621177042278332973<192>

694804956450149710803823786975422257880136968343113040833556195300496588900949654170665072548125075379783011101147870226165568088263826618633357979244996093360810902931814725670027949512587768286479882119128898117996234943707689<228>

6745687483555277283399941273973518552044604547604001610492454911383092008930589893844380633699542681419887193431329216267592589025241364500211679789542344529879193687677936842021286544088729187357795720028921184223206809<220>

3225774422994863178609799007711659982400065246195309808826377386518731805232023405909684522760187590667569023236889736774679958748679263261591765367734890547281113938633685845242347994413518802240164267171<205>

359039173505738920978814057241535986670432049213445757512738923377065616754567281280043708959381733026662042567541994420055253793012004185757801300994180648673805117123225784792329300330688133539724076331854453<210>

812103937767342555337383503352830572249255180620476256113364829781534147961356592733222011207361324398036212551479060523745016787181794253587981169580027550674618706555414046694560635266514206662061026448477428981<213>

11765090501299848993808608533042751786120819417476610833450750609414780078486154684945207362220007222665187481369492196503974597719138759886156822632321155777254951990501039171320955714851666469548810499679<206>

33126598358370791390684600531975667825972603178103343486323215095128339942402220907158770410672314939195816198131559847762654548081944953844022974108500735160471492749525164589191428486424469980676567644388841761614997923649816103627<233>

6237677858851809229862970714642396727<37>

5310726059916873943119490809587813756950670928604665422604006855576440389169190017646390812678419919416854166423930316886392919316337044998672937911310042536526371769346560053367964037017626674701<196>

GPU: factor 6237677858851809229862970714642396727 found in Step 1 with curve 907 (-sigma 3:1954067396)
Computing 1792 Step 1 took 364ms of CPU time / 267806ms of GPU time
Throughput: 6.691 curves per second (on average 149.45ms per Step 1)
********** Factor found in step 1: 6237677858851809229862970714642396727
Found prime factor of 37 digits: 6237677858851809229862970714642396727
Composite cofactor 5310726059916873943119490809587813756950670928604665422604006855576440389169190017646390812678419919416854166423930316886392919316337044998672937911310042536526371769346560053367964037017626674701 has 196 digits
Peak memory usage: 9428MB

97844557950824430991334584911187155590000999619748161594270517995048093101044477993497416884521883175543067698049424411617942857491851909711760433585064999438440897960384763452547055590039311853854083757616601441<212>

5886848617830702782521679186290489307556088930520042535922737743334518719389700343276275785295690166236246531082650426604855666086309896301456854410539058969184478169423556269448755815759755893779515711798075057877639587107621624857<232>

1074655535356948213788068872484187492561017<43>
5477893542767058345918984399602171141218835363045889944118781175350507064466196595057851685183697534921847954794317471990351855794719438900512011329988712644287207660757123029636345114255521<190>

Resuming ECM residue saved by @2a9dc5264329 with GMP-ECM 7.0.5-dev on Sun Mar 24 09:03:10 2024 
Input number is 5886848617830702782521679186290489307556088930520042535922737743334518719389700343276275785295690166236246531082650426604855666086309896301456854410539058969184478169423556269448755815759755893779515711798075057877639587107621624857 (232 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:2183936487
Step 1 took 0ms
Step 2 took 33952ms
********** Factor found in step 2: 1074655535356948213788068872484187492561017
Found prime factor of 43 digits: 1074655535356948213788068872484187492561017
Prime cofactor 5477893542767058345918984399602171141218835363045889944118781175350507064466196595057851685183697534921847954794317471990351855794719438900512011329988712644287207660757123029636345114255521 has 190 digits

2016742770167427701674277016742770167427701674277016742770167427701674277016742770167427701674277016742770167427701674277016742770167427701674277016742770167427701674277016742770167427701674277016742770167427701674277016742770167427701674277<241>

157404582829279856861276249951270217656503<42>
12812478098905009625298543008035775842048967392816247319831316575077193124167034384121917062432357937897806687110058640995150747067425194865077413658026397979812757488835603233290213760578430202880259<200>

Resuming ECM residue saved by @cc4e88aecbc1 with GMP-ECM 7.0.5-dev on Sun Oct  9 19:29:16 2022 
Input number is 2016742770167427701674277016742770167427701674277016742770167427701674277016742770167427701674277016742770167427701674277016742770167427701674277016742770167427701674277016742770167427701674277016742770167427701674277016742770167427701674277 (241 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3387694637
Step 1 took 0ms
Step 2 took 34024ms
********** Factor found in step 2: 157404582829279856861276249951270217656503
Found prime factor of 42 digits: 157404582829279856861276249951270217656503
Prime cofactor 12812478098905009625298543008035775842048967392816247319831316575077193124167034384121917062432357937897806687110058640995150747067425194865077413658026397979812757488835603233290213760578430202880259 has 200 digits

12262537864519162055407064419836516270702757658561303123461532224604041083935125037888491996821785228423307351656379479484492519976994095128582344301462921689<158>

23498900623348252524759967927510723140786653472281<50>

521834534349885184469668996040561830529664131724000347023306777676799148303058082707846346870396157229650369<108>

GMP-ECM 7.0.5-dev [configured with GMP 6.0.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/core2/params.h
Running on panda-2023-2
Input number is 12262537864519162055407064419836516270702757658561303123461532224604041083935125037888491996821785228423307351656379479484492519976994095128582344301462921689 (158 digits)
[Sun Nov 17 15:47:55 2024]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:15406042652174085074
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Writing checkpoint to checkpnt at p = 110000000
Step 1 took 267508ms
Using 20 small primes for NTT
Estimated memory usage: 471.18MB
Initializing tables of differences for F took 233ms
Computing roots of F took 8000ms
Building F from its roots took 3365ms
Computing 1/F took 1452ms
Initializing table of differences for G took 199ms
Computing roots of G took 6786ms
Building G from its roots took 3535ms
Computing roots of G took 6821ms
Building G from its roots took 3580ms
Computing G * H took 721ms
Reducing  G * H mod F took 767ms
Computing roots of G took 6679ms
Building G from its roots took 3563ms
Computing G * H took 730ms
Reducing  G * H mod F took 850ms
Computing roots of G took 6851ms
Building G from its roots took 3609ms
Computing G * H took 733ms
Reducing  G * H mod F took 751ms
Computing polyeval(F,G) took 6695ms
Computing product of all F(g_i) took 38ms
Step 2 took 66253ms
********** Factor found in step 2: 23498900623348252524759967927510723140786653472281
Found prime factor of 50 digits: 23498900623348252524759967927510723140786653472281
Composite cofactor 521834534349885184469668996040561830529664131724000347023306777676799148303058082707846346870396157229650369 has 108 digits
Peak memory usage: 612MB

GMP-ECM 7.0.5-dev [configured with GMP 6.0.0, --enable-asm-redc, --enable-assert]

521834534349885184469668996040561830529664131724000347023306777676799148303058082707846346870396157229650369<108>

240245815298140369204161272621761469893127493752789<51>
2172085843419577190842738386524949003908355714541396956221<58>

CADO-NFS

STA:Wed Nov 20 15:00:07 AEDT 2024 (521834534349885184469668996040561830529664131724000347023306777676799148303058082707846346870396157229650369 - C108)

./cado-nfs.py -t 16 --no-colors 521834534349885184469668996040561830529664131724000347023306777676799148303058082707846346870396157229650369 2>&1 | tee -a log-15

Info:root: Using default parameter file ./parameters/factor/params.c110
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.shlfxkj1
Info:Database: Opened connection to database /tmp/cado.shlfxkj1/c110.db
Info:root: Set tasks.threads=16 based on --server-threads 16
Info:root: tasks.threads = 16 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 16 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Math/cado-nfs/build/TrigKey-2
Info:root: Command line parameters: ./cado-nfs.py -t 16 --no-colors 521834534349885184469668996040561830529664131724000347023306777676799148303058082707846346870396157229650369
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.shlfxkj1/c110.parameters_snapshot.0
Info:Server Launcher: Adding TrigKey-2 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,TrigKey-2
Info:Lattice Sieving: param rels_wanted is 8000000
Info:Complete Factorization / Discrete logarithm: Factoring 521834534349885184469668996040561830529664131724000347023306777676799148303058082707846346870396157229650369
Info:HTTP server: serving at https://TrigKey-2:37647 (0.0.0.0)
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 521834534349885184469668996040561830529664131724000347023306777676799148303058082707846346870396157229650369
skew: 64599.209
c0: 110885024469459010723850639
c1: -11682256866294556748864
c2: 726095830239149609
c3: 6755039844314
c4: -65927278
c5: 60
Y0: 233810979011420077152
Y1: 16763204223356399
# MurphyE (Bf=1.342e+08,Bg=6.711e+07,area=2.013e+12) = 7.006e-06
# f(x) = 60*x^5-65927278*x^4+6755039844314*x^3+726095830239149609*x^2-11682256866294556748864*x+110885024469459010723850639
# g(x) = 16763204223356399*x+233810979011420077152
===
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 2172085843419577190842738386524949003908355714541396956221 240245815298140369204161272621761469893127493752789
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 129.65/12.7693
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Factor Base: Total cpu/real time for makefb: 0.44/0.0966959
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 8070146
Info:Lattice Sieving: Average J: 1957.55 for 49597 special-q, max bucket fill -bkmult 1.0,1s:1.432680
Info:Lattice Sieving: Total time: 3009.06s
Info:Square Root: Total cpu/real time for sqrt: 129.65/12.7693
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.36/17.18
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 17.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 81.93/35.2895
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 31.200000000000003s
Info:Filtering - Merging: Total cpu/real time for merge: 13.33/1.41391
Info:Filtering - Merging: Total cpu/real time for replay: 3.26/2.58847
Info:Quadratic Characters: Total cpu/real time for characters: 4.76/0.945547
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 29.18
Info:Polynomial Selection (root optimized): Rootsieve time: 29.4
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 18008.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 16607/31.120/38.899/50.300/2.044
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 13134/29.610/34.459/47.890/1.615
Info:Polynomial Selection (size optimized): Total time: 414.68
Info:Generate Free Relations: Total cpu/real time for freerel: 46.21/3.22161
Info:Filtering - Singleton removal: Total cpu/real time for purge: 16.95/7.57769
Info:Linear Algebra: Total cpu/real time for bwc: 728.3/71.71
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 408.56, WCT time 37.87, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10000 iterations)
Info:Linear Algebra: Lingen CPU time 17.25, WCT time 2.66
Info:Linear Algebra: Mksol: CPU time 194.88,  WCT time 20.87, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6000 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 6906.25/607.738
Info:root: Cleaning up computation data in /tmp/cado.shlfxkj1
2172085843419577190842738386524949003908355714541396956221 240245815298140369204161272621761469893127493752789

END:Wed Nov 20 15:10:16 AEDT 2024 (521834534349885184469668996040561830529664131724000347023306777676799148303058082707846346870396157229650369 - C108)

CADO-NFS

98164101309221961107299736792181065428700843901850693032844685023778305434960649897605848565304333388240745681339519848676635862543358755356621681508675618740802910706356556375172017882221653030131<197>

755699926474273069323133596375710463943<39>

129898254413240100392725286615388475490507471002680200651963863941624598635560392070097733274929272271370441627159706406390310861781801462710769461970497081717<159>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3192039671
Step 1 took 59961ms
Step 2 took 23375ms
********** Factor found in step 2: 755699926474273069323133596375710463943
Found prime factor of 39 digits: 755699926474273069323133596375710463943
Composite cofactor 129898254413240100392725286615388475490507471002680200651963863941624598635560392070097733274929272271370441627159706406390310861781801462710769461970497081717 has 159 digits

36141042504467401322016040052864727106641526247610927859038482922855046678965755213074239950192314232852329601739179239290282593226052948468089128589646076285871817383716611519085555010253017596137333918307<206>

2259748407378386431723276305931818698099<40>
15993392178731921426841706181159662483378742309724494171126439293700220967571861521475429523324274561028052173262420269612342515836601929854380215887313066958514694993<167>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3439979363
Step 1 took 38950ms
Step 2 took 16323ms
********** Factor found in step 2: 2259748407378386431723276305931818698099
Found prime factor of 40 digits: 2259748407378386431723276305931818698099
Prime cofactor 15993392178731921426841706181159662483378742309724494171126439293700220967571861521475429523324274561028052173262420269612342515836601929854380215887313066958514694993 has 167 digits

3719121336642617828011156446383401532574886047899704580702155579365022299122165694550395439717675909145229403364226874895278542732057550184648144485206595319041260384269661217096639478534812888981369093353809478213336812344828221470568601<238>

383163345930704512772691246030912688524261070092217355614364789002794239270105679313960689196549638510689480784563980717355754352642362895178627161681377829083245974441567352157130976241232166614191738277061870687<213>

248163317528217850250088749339490741714275225352700152850223668325991376093775021538281471314171068686638361152367040030206649128288042156678138986171021097847621554130070081481502695888043638008797104189948987478785262551259377<228>

488552284523821270173848643650979548786624910202758512804070641257007308082206407045619630964885898046973240786965117359461430809875317919996840948696402114212314450972370930648748075977891012947811511098353417949897793882608970561<231>

15608593238497425111664306796045878438325380494072110346481603939114965672523401918471969603192909367198299963587790195075668105035507890227352371195145853431629976356932576515044192575686244730733674657567141827191018283951758933971<233>

99191520619522505106420192773497344202161774365181124126374622155853410229273632366142197585530507271649773100717943420746134863043751962033607270027820708269742582016957803858047540167727732539219039942424921289618767<218>

147222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<255>

67151298369024309626147576627548355664734422727<47>
2192395765948930551805999344876461646824563911237017031441449727420482815885738627504957747942051439723547930753720021691744601035468004129300321138164055483048793858952978328166681006854763218671311963168523<208>

Resuming ECM residue saved by @066193722cae with GMP-ECM 7.0.5-dev on Mon Mar 25 23:44:26 2024 
Input number is 147222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221 (255 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:3779236767
Step 1 took 0ms
Step 2 took 38631ms
********** Factor found in step 2: 67151298369024309626147576627548355664734422727
Found prime factor of 47 digits: 67151298369024309626147576627548355664734422727
Prime cofactor 2192395765948930551805999344876461646824563911237017031441449727420482815885738627504957747942051439723547930753720021691744601035468004129300321138164055483048793858952978328166681006854763218671311963168523 has 208 digits

15974038805609774513700857958089099603928396203379267154920206581386105903813440933439092919991844030971706802890474321520399901595903327144107013974880053080350050302903880231963694443502509685477935437103946723071139<218>

44151921764569648440841431185950533634132352924245479614815886666143777855920227588279773897375137158421645614425709288169483293123657221110100274093404195188881133181817796794315492543911748065631633<200>

414250209267180155092498071634790331619<39>
106582738588534679084672608134370393433220045841757263007105773470801363649552710191116256144483877058083678392786092880407411483708268494975212021179431487283707<162>

Resuming ECM residue saved by @577fe96e60cb with GMP-ECM 7.0.5-dev on Tue Sep 20 22:25:10 2022 
Input number is 44151921764569648440841431185950533634132352924245479614815886666143777855920227588279773897375137158421645614425709288169483293123657221110100274093404195188881133181817796794315492543911748065631633 (200 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2928334178
Step 1 took 0ms
Step 2 took 4715ms
********** Factor found in step 2: 414250209267180155092498071634790331619
Found prime factor of 39 digits: 414250209267180155092498071634790331619
Prime cofactor 106582738588534679084672608134370393433220045841757263007105773470801363649552710191116256144483877058083678392786092880407411483708268494975212021179431487283707 has 162 digits

1661642639948850497932284108444583246466767538087547132449590757269279688258360526537112164382234626603272678655406836878160756497051164020273376187942056806006554058125393375495197408582879826512962141644889423657192563774394976297<232>

13662236599911130280565560114165379667490205013761106235050763559492402402101475268647261800360793140834396479440986589574977398631915406737047286495429321651523273092778503616321360063<185>