6481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481<103>

372907836458789078306315375998317689267<39>
17380920559436313260798327403557212385133865748245081965356329043<65>

N=6481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481
  ( 103 digits)
SNFS difficulty: 104 digits.
Divisors found:
p39 factor: 372907836458789078306315375998317689267
p65 factor: 17380920559436313260798327403557212385133865748245081965356329043
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.25 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 6481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481
m: 100000000000000000000000000
deg: 4
c4: 7
c0: -52
skew: 1.65
# Murphy_E = 2.58e-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 : 28776 x 29001
Total sieving time: 0.24 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,104.000,4,0,0,0,0,0,0,0,0,390000,390000,25,25,44,44,2.2,2.2,10000
total time: 0.25 hours.
 --------- CPU info (if available) ----------

1741569064160399505991495171872962986183883818434956376182898587935802778748080542095714645401610802107<103>

27813552234298765900187803907807144535798882253<47>
62615844588622999071789673202883572964506072920289438119<56>

N=1741569064160399505991495171872962986183883818434956376182898587935802778748080542095714645401610802107
  ( 103 digits)
SNFS difficulty: 108 digits.
Divisors found:
p47 factor: 27813552234298765900187803907807144535798882253
p56 factor: 62615844588622999071789673202883572964506072920289438119
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: 1741569064160399505991495171872962986183883818434956376182898587935802778748080542095714645401610802107
m: 1000000000000000000000000000
deg: 4
c4: 7
c0: -52
skew: 1.65
# Murphy_E = 1.698e-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, 370001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 39723 x 39948
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) ----------

194444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<111>

1535977654681539180167790821796775203901031<43>
126593276830423319647255458161667161661844640369460164673047019415853<69>

N=194444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
  ( 111 digits)
SNFS difficulty: 111 digits.
Divisors found:
p43 factor: 1535977654681539180167790821796775203901031
p69 factor: 126593276830423319647255458161667161661844640369460164673047019415853
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.38 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 194444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 5000000000000000000000000000
deg: 4
c4: 14
c0: -65
skew: 1.47
# Murphy_E = 1.186e-07
type: snfs
lss: 1
rlim: 510000
alim: 510000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 510000/510000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [255000, 435001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 47006 x 47232
Total sieving time: 0.37 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,111.000,4,0,0,0,0,0,0,0,0,510000,510000,25,25,44,44,2.2,2.2,20000
total time: 0.38 hours.
 --------- CPU info (if available) ----------

84556135852236461475499738842334696378243271385092318389123471768638950614868061021505766003698243793217245006477<113>

855659280988892101195783192987079120999207011734227<51>
98819866424535565286049532190240818195476254146632645960126751<62>

N=84556135852236461475499738842334696378243271385092318389123471768638950614868061021505766003698243793217245006477
  ( 113 digits)
SNFS difficulty: 119 digits.
Divisors found:
p51 factor: 855659280988892101195783192987079120999207011734227
p62 factor: 98819866424535565286049532190240818195476254146632645960126751
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.90 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 84556135852236461475499738842334696378243271385092318389123471768638950614868061021505766003698243793217245006477
m: 500000000000000000000000000000
deg: 4
c4: 14
c0: -65
skew: 1.47
# Murphy_E = 5.014e-08
type: snfs
lss: 1
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [350000, 550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 54279 x 54504
Total sieving time: 0.88 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,119.000,4,0,0,0,0,0,0,0,0,700000,700000,25,25,45,45,2.2,2.2,50000
total time: 0.90 hours.
 --------- CPU info (if available) ----------

41344768114914829777683275450657972452571644576747702412171899733030925886549956292673707090037092163394523590143407281404304581<128>

37762455606624972867157515030615048433265257856353<50>
1094864395091440580654020180328797497395245498975404476823410510299656954811877<79>

N=41344768114914829777683275450657972452571644576747702412171899733030925886549956292673707090037092163394523590143407281404304581
  ( 128 digits)
SNFS difficulty: 132 digits.
Divisors found:
p50 factor: 37762455606624972867157515030615048433265257856353
p79 factor: 1094864395091440580654020180328797497395245498975404476823410510299656954811877
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.95 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 41344768114914829777683275450657972452571644576747702412171899733030925886549956292673707090037092163394523590143407281404304581
m: 1000000000000000000000000000000000
deg: 4
c4: 7
c0: -52
skew: 1.65
# Murphy_E = 1.235e-08
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [575000, 1175001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 124689 x 124914
Total sieving time: 2.90 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,132.000,4,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,100000
total time: 2.95 hours.
 --------- CPU info (if available) ----------

48940234186012042094194569591614720103809228170558114430657281328042194871622774268063840438057044736967215636264993190315986117753<131>

34719675710003609256255399397123399997860965773270720515579<59>
1409582122678384732848093570834777759748072078496110424285519529428865307<73>

N=48940234186012042094194569591614720103809228170558114430657281328042194871622774268063840438057044736967215636264993190315986117753
  ( 131 digits)
SNFS difficulty: 136 digits.
Divisors found:
p59 factor: 34719675710003609256255399397123399997860965773270720515579
p73 factor: 1409582122678384732848093570834777759748072078496110424285519529428865307
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.83 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 48940234186012042094194569591614720103809228170558114430657281328042194871622774268063840438057044736967215636264993190315986117753
m: 10000000000000000000000000000000000
deg: 4
c4: 7
c0: -52
skew: 1.65
# Murphy_E = 7.841e-09
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1470001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 162682 x 162908
Total sieving time: 3.76 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,136.000,4,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,100000
total time: 3.83 hours.
 --------- CPU info (if available) ----------

646931040304353353130728138222521314293891981758998580089369199754724168193072353660302621103581<96>

788765218041588255525088083027742285158551<42>
820182007911818715881322755898213133522383984353263531<54>

N=646931040304353353130728138222521314293891981758998580089369199754724168193072353660302621103581
  ( 96 digits)
Divisors found:
p42 factor: 788765218041588255525088083027742285158551
p54 factor: 820182007911818715881322755898213133522383984353263531
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.20 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 646931040304353353130728138222521314293891981758998580089369199754724168193072353660302621103581
skew: 282092.27
c0: 7056244124608967392981617
c1: -420629198976921146316
c2: -3029725840816295
c3: 14157111766
c4: 11880
Y0: -85902846118020128271154
Y1: 1881732848983
rlim: 1560000
alim: 1560000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs
lss: 0
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [780000, 1020001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 145616 x 145841
Total sieving time: 2.13 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1560000,1560000,25,25,50,50,2.5,2.5,60000
total time: 2.20 hours.
 --------- CPU info (if available) ----------

2961986796682413590562636184643745724711285440396382302998046133794849723933634018624693<88>

27886053293277508891618539516164117758531<41>
106217497525777868797023624939171566129363016103<48>

P41 = 27886053293277508891618539516164117758531
P48 = 106217497525777868797023624939171566129363016103

YAFU

28351417335626409256007433741061892352445943017304122636271772725466009778196244205498960921918059574319819880833<113>

344369142616677184517833096657256949142673396048319343<54>
82328564981749327579614526749682498983286342454386976508431<59>

Number: 77772_151
N = 28351417335626409256007433741061892352445943017304122636271772725466009778196244205498960921918059574319819880833 (113 digits)
SNFS difficulty: 152 digits.
Divisors found:
r1=344369142616677184517833096657256949142673396048319343 (pp54)
r2=82328564981749327579614526749682498983286342454386976508431 (pp59)
Version: Msieve v. 1.53 (SVN 1005)
Total time: 11.19 hours.
Factorization parameters were as follows:
n: 28351417335626409256007433741061892352445943017304122636271772725466009778196244205498960921918059574319819880833
m: 50000000000000000000000000000000000000
deg: 4
c4: 14
c0: -65
skew: 1.47
# Murphy_E = 1.315e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 7359339
Relations: 641902 relations
Pruned matrix : 378478 x 378706
Total sieving time: 11.06 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: snfs,152,4,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 11.19 hours.
Intel64 Family 6 Model 78 Stepping 3, GenuineIntel
processors: 4, speed: 2.40GHz
Windows-10-10.0.17763-SP0
Running Python 3.8

6481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481<151>

890037689061974423880849753167995064777<39>
716909080106314668838821160007504582097016197469069<51>
10157850250278469086344120254147180163288716930269170263989637<62>

N=6481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481
  ( 151 digits)
SNFS difficulty: 152 digits.
Divisors found:
p39 factor: 890037689061974423880849753167995064777
p51 factor: 716909080106314668838821160007504582097016197469069
p62 factor: 10157850250278469086344120254147180163288716930269170263989637
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 20.14 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 6481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481
m: 100000000000000000000000000000000000000
deg: 4
c4: 7
c0: -52
skew: 1.65
# Murphy_E = 1.217e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 347478 x 347703
Total sieving time: 19.92 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,152.000,4,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 20.14 hours.
 --------- CPU info (if available) ----------

990155030677198621004657407749651051793493518591032319444133068482362683773785483606161553875288487507344193799672231847570735206721497702542810723<147>

8642585297277080383375267097163338141371332792874152328931<58>
114566995478674111600760969932619936025105288979394472976832717996817847450602169801276033<90>

Number: 77772_159
N = 990155030677198621004657407749651051793493518591032319444133068482362683773785483606161553875288487507344193799672231847570735206721497702542810723 (147 digits)
SNFS difficulty: 160 digits.
Divisors found:
r1=8642585297277080383375267097163338141371332792874152328931 (pp58)
r2=114566995478674111600760969932619936025105288979394472976832717996817847450602169801276033 (pp90)
Version: Msieve v. 1.53 (SVN 1005)
Total time: 8.61 hours.
Factorization parameters were as follows:
n: 990155030677198621004657407749651051793493518591032319444133068482362683773785483606161553875288487507344193799672231847570735206721497702542810723
m: 50000000000000000000000000000000
deg: 5
c5: 28
c0: -65
skew: 1.18
# Murphy_E = 5.776e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 8301010
Relations: 878210 relations
Pruned matrix : 525252 x 525479
Total sieving time: 8.36 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.16 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 8.61 hours.
Intel64 Family 6 Model 78 Stepping 3, GenuineIntel
processors: 4, speed: 2.40GHz
Windows-10-10.0.17763-SP0
Running Python 3.8

94955282268178187103959577791772858110219111240240592660724273527729138680925944855959097786857091585403486705648229755736831662204293<134>

249930152616908807777459419257762331089279893034780118256908630447<66>
379927276776904067762831770020298240274962559266257047310849114801419<69>

Number: 77772_160
N = 94955282268178187103959577791772858110219111240240592660724273527729138680925944855959097786857091585403486705648229755736831662204293 (134 digits)
SNFS difficulty: 161 digits.
Divisors found:
r1=249930152616908807777459419257762331089279893034780118256908630447 (pp66)
r2=379927276776904067762831770020298240274962559266257047310849114801419 (pp69)
Version: Msieve v. 1.53 (SVN 1005)
Total time: 10.75 hours.
Factorization parameters were as follows:
n: 94955282268178187103959577791772858110219111240240592660724273527729138680925944855959097786857091585403486705648229755736831662204293
m: 100000000000000000000000000000000
deg: 5
c5: 7
c0: -52
skew: 1.49
# Murphy_E = 5.571e-10
type: snfs
lss: 1
# Ratioal Side Sieve: -r
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 8590108
Relations: 1269618 relations
Pruned matrix : 710894 x 711139
Total sieving time: 10.26 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.39 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 10.75 hours.
Intel64 Family 6 Model 78 Stepping 3, GenuineIntel
processors: 4, speed: 2.40GHz
Windows-10-10.0.17763-SP0
Running Python 3.8

404963995046418982534689467417671633610147797087916709970472353243346639854073405490739510427641627677198533765031283672746391379863232845354051139<147>

1753754097919651011562876444531563681282825125307046703<55>
230912643640746366409098152433328727378537624070216900688597134610821932823401797504296948013<93>

404963995046418982534689467417671633610147797087916709970472353243346639854073405490739510427641627677198533765031283672746391379863232845354051139=1753754097919651011562876444531563681282825125307046703*230912643640746366409098152433328727378537624070216900688597134610821932823401797504296948013

cado polynomial
n: 404963995046418982534689467417671633610147797087916709970472353243346639854073405490739510427641627677198533765031283672746391379863232845354051139
skew: 0.94
type: snfs
c0: -26
c5: 35
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 35*x^5-26
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3400000
tasks.lim1 = 3400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 1753754097919651011562876444531563681282825125307046703 230912643640746366409098152433328727378537624070216900688597134610821932823401797504296948013
Info:Square Root: Total cpu/real time for sqrt: 83.3/26.2965
Info:Filtering - Singleton removal: Total cpu/real time for purge: 71.04/66.6421
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11646473
Info:Lattice Sieving: Average J: 1894.37 for 268031 special-q, max bucket fill -bkmult 1.0,1s:1.250350
Info:Lattice Sieving: Total time: 32026s
Info:Linear Algebra: Total cpu/real time for bwc: 2718.89/699.93
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1691.68, WCT time 431.61, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13568 iterations)
Info:Linear Algebra: Lingen CPU time 66.94, WCT time 17.06
Info:Linear Algebra: Mksol: CPU time 920.11,  WCT time 234.59, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6784 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.48/0.821532
Info:Generate Free Relations: Total cpu/real time for freerel: 59.94/17.0031
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.95/48.3229
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.13/86.6503
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.9s
Info:Filtering - Merging: Merged matrix has 430639 rows and total weight 73277446 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 88.23/24.8563
Info:Filtering - Merging: Total cpu/real time for replay: 13.93/11.6422
Info:Quadratic Characters: Total cpu/real time for characters: 14.03/5.50255
Info:Square Root: Total cpu/real time for sqrt: 83.3/26.2965
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 62079.5/17182.5
Info:root: Cleaning up computation data in /tmp/cado.j_dal8ct
1753754097919651011562876444531563681282825125307046703 230912643640746366409098152433328727378537624070216900688597134610821932823401797504296948013

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-89-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

1305039811897042445380291744683258525385224649230183127743379740730969172096261803446363334726026556391866036251220189711881970756313689429<139>

47806523899109459798365098964328870466324839219131101311<56>
27298362345925609841047968922243829917788387590189142730589618589702672641827895339<83>

1305039811897042445380291744683258525385224649230183127743379740730969172096261803446363334726026556391866036251220189711881970756313689429=47806523899109459798365098964328870466324839219131101311*27298362345925609841047968922243829917788387590189142730589618589702672641827895339

cado polynomial
n: 1305039811897042445380291744683258525385224649230183127743379740730969172096261803446363334726026556391866036251220189711881970756313689429
skew: 0.38
type: snfs
c0: -13
c5: 1750
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 1750*x^5-13
# g(x) = -x+100000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 27298362345925609841047968922243829917788387590189142730589618589702672641827895339 47806523899109459798365098964328870466324839219131101311
Info:Square Root: Total cpu/real time for sqrt: 192.16/59.0486
Info:Filtering - Singleton removal: Total cpu/real time for purge: 68.95/65.6474
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11637980
Info:Lattice Sieving: Average J: 1893.59 for 329176 special-q, max bucket fill -bkmult 1.0,1s:1.250680
Info:Lattice Sieving: Total time: 39456.5s
Info:Linear Algebra: Total cpu/real time for bwc: 3569.16/918.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2232.44, WCT time 569.93, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15488 iterations)
Info:Linear Algebra: Lingen CPU time 78.04, WCT time 19.9
Info:Linear Algebra: Mksol: CPU time 1212.68,  WCT time 309.9, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7808 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.6/0.883524
Info:Generate Free Relations: Total cpu/real time for freerel: 60.78/17.2861
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.54/49.8576
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.73/86.5443
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.4s
Info:Filtering - Merging: Merged matrix has 491694 rows and total weight 84051895 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 102.7/28.787
Info:Filtering - Merging: Total cpu/real time for replay: 16.1/13.376
Info:Quadratic Characters: Total cpu/real time for characters: 15.99/6.31228
Info:Square Root: Total cpu/real time for sqrt: 192.16/59.0486
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 76671.2/21124.7
Info:root: Cleaning up computation data in /tmp/cado.pcny1mds
27298362345925609841047968922243829917788387590189142730589618589702672641827895339 47806523899109459798365098964328870466324839219131101311

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-89-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

4775093412387129237539046062935955877923046517340679495944966242758870200490202349376500236952781155377296169541551293284698363268825224170361721063<148>

102873213037886761083991522127772696104350965814768438016567<60>
46417267152222895252342995164890359794248666633364885066515580981966581453000911548679889<89>

4775093412387129237539046062935955877923046517340679495944966242758870200490202349376500236952781155377296169541551293284698363268825224170361721063=102873213037886761083991522127772696104350965814768438016567*46417267152222895252342995164890359794248666633364885066515580981966581453000911548679889

cado polynomial
n: 4775093412387129237539046062935955877923046517340679495944966242758870200490202349376500236952781155377296169541551293284698363268825224170361721063
skew: 1.18
type: snfs
c0: -65
c5: 28
Y0: 500000000000000000000000000000000
Y1: -1
# f(x) = 28*x^5-65
# g(x) = -x+500000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3900000
tasks.lim1 = 3900000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 102873213037886761083991522127772696104350965814768438016567 46417267152222895252342995164890359794248666633364885066515580981966581453000911548679889
Info:Square Root: Total cpu/real time for sqrt: 94.12/29.9076
Info:Filtering - Singleton removal: Total cpu/real time for purge: 66.69/63.8955
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11652798
Info:Lattice Sieving: Average J: 1894.33 for 332405 special-q, max bucket fill -bkmult 1.0,1s:1.258390
Info:Lattice Sieving: Total time: 40771.9s
Info:Linear Algebra: Total cpu/real time for bwc: 3819.23/984.73
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2388.39, WCT time 610.83, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15872 iterations)
Info:Linear Algebra: Lingen CPU time 79.86, WCT time 20.34
Info:Linear Algebra: Mksol: CPU time 1302.75,  WCT time 333.6, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7936 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.67/0.920152
Info:Generate Free Relations: Total cpu/real time for freerel: 60.05/17.2263
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.51/49.6377
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.11/87.5243
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.80000000000001s
Info:Filtering - Merging: Merged matrix has 506060 rows and total weight 86320401 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 105.23/29.5112
Info:Filtering - Merging: Total cpu/real time for replay: 16.52/13.7322
Info:Quadratic Characters: Total cpu/real time for characters: 16.41/6.48285
Info:Square Root: Total cpu/real time for sqrt: 94.12/29.9076
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 79441.8/21831.3
Info:root: Cleaning up computation data in /tmp/cado.xqbq34_i
102873213037886761083991522127772696104350965814768438016567 46417267152222895252342995164890359794248666633364885066515580981966581453000911548679889

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-89-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

63931910395732136551527192777504639589252747507186321741549095609383516481086523738490317837376217464915393983398902945919<122>

527621959849997688323452580708183182877701085885429773<54>
121169919489150725607707718177935237715732654435946410345453227574203<69>

CADO

STA:Sun 07 Nov 2021 16:40:28 AEDT (63,931,910,395,732,136,551,527,192,777,504,639,589,252,747,507,186,321,741,549,095,609,383,516,481,086,523,738,490,317,837,376,217,464,915,393,983,398,902,945,919 - C122)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 63931910395732136551527192777504639589252747507186321741549095609383516481086523738490317837376217464915393983398902945919 2>&1 | tee -a log59

Debug:root: Looking for parameter file for c122 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.5acn11dv
Info:Database: Opened connection to database /tmp/cado.5acn11dv/c120.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 6393191039573213655152719277750463958925274750718632174154909560938351648108652373849
0317837376217464915393983398902945919
Debug:root: Root parameter dictionary:
N = 63931910395732136551527192777504639589252747507186321741549095609383516481086523738490317837376217464915393983398902945919
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 63931910395732136551527192777504639589252747507186321741549095609383516481086523738490317837376217464915393983398902945919
skew: 37996.05
c0: 2014577810322551127382941085
c1: 408896084197900265226635
c2: 136566551153895323
c3: -486453906286113
c4: 3004522742
c5: 42120
Y0: -130419405547445783568822
Y1: 6211655223779056397
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.35e-09
# f(x) = 42120*x^5+3004522742*x^4-486453906286113*x^3+136566551153895323*x^2+408896084197900265226635*x+2014577810322551127382941085
# g(x) = 6211655223779056397*x-130419405547445783568822
...
Info:Square Root: finished
Info:Square Root: Factors: 527621959849997688323452580708183182877701085885429773 121169919489150725607707718177935237715732654435946410345453227574203
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10543/35.200/43.611/48.610/1.082
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10543/34.510/38.823/44.070/1.175
Info:Polynomial Selection (size optimized): Total time: 1135.2
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 478.32
Info:Polynomial Selection (root optimized): Rootsieve time: 477.42
Info:Generate Factor Base: Total cpu/real time for makefb: 23.08/2.04401
Info:Generate Free Relations: Total cpu/real time for freerel: 148.91/9.7972
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 10670932
Info:Lattice Sieving: Average J: 7899.69 for 28371 special-q, max bucket fill: 0.653924
Info:Lattice Sieving: Total CPU time: 81132.4s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.78/34.9411
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 34.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 226.52/117.901
Info:Filtering - Singleton removal: Total cpu/real time for purge: 168.86/96.2105
Info:Filtering - Merging: Total cpu/real time for merge: 492.08/402.649
Info:Filtering - Merging: Total cpu/real time for replay: 38.93/30.2833
Info:Linear Algebra: Total cpu/real time for bwc: 22059.6/0.000332355
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 933.15
Info:Linear Algebra: Lingen CPU time 224.63, WCT time 22.22
Info:Linear Algebra: Mksol: WCT time 512.43
Info:Quadratic Characters: Total cpu/real time for characters: 37.25/8.90526
Info:Square Root: Total cpu/real time for sqrt: 897.36/128.365
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 106865/7642.85
Info:root: Cleaning up computation data in /tmp/cado.5acn11dv
527621959849997688323452580708183182877701085885429773 121169919489150725607707718177935237715732654435946410345453227574203

END:Sun 07 Nov 2021 18:47:51 AEDT (63,931,910,395,732,136,551,527,192,777,504,639,589,252,747,507,186,321,741,549,095,609,383,516,481,086,523,738,490,317,837,376,217,464,915,393,983,398,902,945,919 - C122)

1003024782123882266950597332314345910029678453774333229238983497627857701351969849391116285396142780852037786088405855537727639499614238003112954380023<151>

175225678593069742019112092832766091224856544109076640393553<60>
5724188316332491970237779389926930628518661565726704666467061275253468600194354635115073991<91>

1003024782123882266950597332314345910029678453774333229238983497627857701351969849391116285396142780852037786088405855537727639499614238003112954380023=175225678593069742019112092832766091224856544109076640393553*5724188316332491970237779389926930628518661565726704666467061275253468600194354635115073991

cado polynomial
n: 1003024782123882266950597332314345910029678453774333229238983497627857701351969849391116285396142780852037786088405855537727639499614238003112954380023
skew: 1.49
type: snfs
c0: -52
c5: 7
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 7*x^5-52
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4900000
tasks.lim1 = 4900000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5724188316332491970237779389926930628518661565726704666467061275253468600194354635115073991 175225678593069742019112092832766091224856544109076640393553
Info:Square Root: Total cpu/real time for sqrt: 194.31/63.295
Info:Filtering - Singleton removal: Total cpu/real time for purge: 61.88/73.0841
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11754398
Info:Lattice Sieving: Average J: 1893.66 for 472581 special-q, max bucket fill -bkmult 1.0,1s:1.179390
Info:Lattice Sieving: Total time: 60665.9s
Info:Linear Algebra: Total cpu/real time for bwc: 11366.3/2923.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7166.35, WCT time 1835.34, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26880 iterations)
Info:Linear Algebra: Lingen CPU time 149.45, WCT time 38.0
Info:Linear Algebra: Mksol: CPU time 3914.35,  WCT time 999.97, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13568 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.12/1.15227
Info:Generate Free Relations: Total cpu/real time for freerel: 59.15/16.6921
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.48/51.4148
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 121.81/110.245
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 95.80000000000001s
Info:Filtering - Merging: Merged matrix has 858527 rows and total weight 146862269 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 199.82/56.1677
Info:Filtering - Merging: Total cpu/real time for replay: 32.01/26.7771
Info:Quadratic Characters: Total cpu/real time for characters: 31.49/12.3645
Info:Square Root: Total cpu/real time for sqrt: 194.31/63.295
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 124281/33727.3
Info:root: Cleaning up computation data in /tmp/cado.f24eqxr2
5724188316332491970237779389926930628518661565726704666467061275253468600194354635115073991 175225678593069742019112092832766091224856544109076640393553

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-89-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

105374997741473766147810201607671135881097737076845412355094275713951701829608285884580116895682207755073839245173795326181539647451655294960092839<147>

34333009534541984882600485571802818057<38>
3069203637259279018577668273812192143748575306573076974595993695981578877342135690110039457207329195346522927<109>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1242956917
Step 1 took 4601ms
Step 2 took 2450ms
********** Factor found in step 2: 34333009534541984882600485571802818057
Found prime factor of 38 digits: 34333009534541984882600485571802818057
Prime cofactor 3069203637259279018577668273812192143748575306573076974595993695981578877342135690110039457207329195346522927 has 109 digits

70189982728118347989458137547731071664080141377282221808203044973418897433466804051776915166793957742881283713511235424235182596596145535878002967896318678881<158>

1100501020487397234410784209181591639661374629<46>
63780025117134503098158352958546200527501434166457023698048913921463323151459518039856975338379177781865445906189<113>

70189982728118347989458137547731071664080141377282221808203044973418897433466804051776915166793957742881283713511235424235182596596145535878002967896318678881=1100501020487397234410784209181591639661374629*63780025117134503098158352958546200527501434166457023698048913921463323151459518039856975338379177781865445906189

cado polynomial
n: 70189982728118347989458137547731071664080141377282221808203044973418897433466804051776915166793957742881283713511235424235182596596145535878002967896318678881
skew: 0.59
type: snfs
c0: -13
c5: 175
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 175*x^5-13
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5200000
tasks.lim1 = 5200000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 63780025117134503098158352958546200527501434166457023698048913921463323151459518039856975338379177781865445906189 1100501020487397234410784209181591639661374629
Info:Square Root: Total cpu/real time for sqrt: 209.17/65.9944
Info:Filtering - Singleton removal: Total cpu/real time for purge: 103.95/122.2
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12052875
Info:Lattice Sieving: Average J: 1893.83 for 544074 special-q, max bucket fill -bkmult 1.0,1s:1.243570
Info:Lattice Sieving: Total time: 71643.4s
Info:Linear Algebra: Total cpu/real time for bwc: 12202.4/3145.89
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7718.6, WCT time 1980.16, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (27904 iterations)
Info:Linear Algebra: Lingen CPU time 157.0, WCT time 39.9
Info:Linear Algebra: Mksol: CPU time 4185.2,  WCT time 1074.02, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14080 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.45/16.6441
Info:Generate Factor Base: Total cpu/real time for makefb: 2.27/1.26441
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.41/53.0454
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 52.699999999999996s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 157.41/151.603
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 124.0s
Info:Filtering - Merging: Merged matrix has 885409 rows and total weight 150548357 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 201.41/56.7314
Info:Filtering - Merging: Total cpu/real time for replay: 32.27/26.9964
Info:Quadratic Characters: Total cpu/real time for characters: 31.5/12.4098
Info:Square Root: Total cpu/real time for sqrt: 209.17/65.9944
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 145244/39444.9
Info:root: Cleaning up computation data in /tmp/cado.g3m6dshx
63780025117134503098158352958546200527501434166457023698048913921463323151459518039856975338379177781865445906189 1100501020487397234410784209181591639661374629

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-89-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

8003880085600451543152721658330035031069086129676270632818823145863001056068519665709459114695975139556482056778884469887217446234696611<136>

1516646387498617310277624664460439418890550612879<49>
5277354135792413567119393411970840357315273145948459936716793584180302293981923352923309<88>

8003880085600451543152721658330035031069086129676270632818823145863001056068519665709459114695975139556482056778884469887217446234696611=1516646387498617310277624664460439418890550612879*5277354135792413567119393411970840357315273145948459936716793584180302293981923352923309

cado polynomial
n: 8003880085600451543152721658330035031069086129676270632818823145863001056068519665709459114695975139556482056778884469887217446234696611
skew: 0.38
type: snfs
c0: -13
c5: 1750
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 1750*x^5-13
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5400000
tasks.lim1 = 5400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5277354135792413567119393411970840357315273145948459936716793584180302293981923352923309 1516646387498617310277624664460439418890550612879
Info:Square Root: Total cpu/real time for sqrt: 251.33/80.1302
Info:Filtering - Singleton removal: Total cpu/real time for purge: 125.59/150.381
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12298194
Info:Lattice Sieving: Average J: 1892.58 for 636768 special-q, max bucket fill -bkmult 1.0,1s:1.228470
Info:Lattice Sieving: Total time: 84071s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.52/16.8112
Info:Linear Algebra: Total cpu/real time for bwc: 13819.5/3547.56
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 8759.3, WCT time 2238.8, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (29696 iterations)
Info:Linear Algebra: Lingen CPU time 169.37, WCT time 43.09
Info:Linear Algebra: Mksol: CPU time 4738.05,  WCT time 1209.8, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14848 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.33/1.28446
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 48.79/54.2625
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 53.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 176.74/172.693
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 139.29999999999998s
Info:Filtering - Merging: Merged matrix has 941871 rows and total weight 160539964 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 218.25/61.3175
Info:Filtering - Merging: Total cpu/real time for replay: 34.47/28.9105
Info:Quadratic Characters: Total cpu/real time for characters: 33.07/13.0238
Info:Square Root: Total cpu/real time for sqrt: 251.33/80.1302
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 170307/46128.7
Info:root: Cleaning up computation data in /tmp/cado.t7sp3u03
5277354135792413567119393411970840357315273145948459936716793584180302293981923352923309 1516646387498617310277624664460439418890550612879

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-89-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

50597050955380099920297913057727837345044389712510523334640689215992730057447604690660512150011001430882650837<110>

550359852278049565061042397443282621996245182854803<51>
91934487492045033217693628362454872069201695761995032293879<59>

N=50597050955380099920297913057727837345044389712510523334640689215992730057447604690660512150011001430882650837
  ( 110 digits)
Divisors found:
p51 factor: 550359852278049565061042397443282621996245182854803
p59 factor: 91934487492045033217693628362454872069201695761995032293879
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 12.00 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 50597050955380099920297913057727837345044389712510523334640689215992730057447604690660512150011001430882650837
skew: 24253.03
c0: 13227991422457602470956416
c1: -7787605347581540346126
c2: 1037785269351947349
c3: 8728435566818
c4: 450645992
c5: 9936
Y0: -1384785663091744702625
Y1: 58286810957
rlim: 3200000
alim: 3200000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
lss: 0
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1600000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 295968 x 296193
Total sieving time: 11.87 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,26,26,52,52,2.5,2.5,100000
total time: 12.00 hours.
 --------- CPU info (if available) ----------

526551616500699252980286340515361484412773410723885442649956609310472961058790803783762907469504790847725978551<111>

13489650075314618119239487660041955183<38>
39033749101043195759193930617431639078873506592946259476804266885203952697<74>

N=526551616500699252980286340515361484412773410723885442649956609310472961058790803783762907469504790847725978551
  ( 111 digits)
Divisors found:
p38 factor: 13489650075314618119239487660041955183
p74 factor: 39033749101043195759193930617431639078873506592946259476804266885203952697
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 12.28 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 526551616500699252980286340515361484412773410723885442649956609310472961058790803783762907469504790847725978551
skew: 42915.68
c0: -114256048070083563649095075
c1: 55659262908391267055925
c2: 2367688346716076217
c3: -97579657061669
c4: -1121510198
c5: 11760
Y0: -2138980820214494228854
Y1: 42512602753
rlim: 3460000
alim: 3460000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
lss: 0
Factor base limits: 3460000/3460000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1730000, 2530001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 315669 x 315894
Total sieving time: 12.14 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3460000,3460000,26,26,52,52,2.5,2.5,100000
total time: 12.28 hours.
 --------- CPU info (if available) ----------

3761742008985189484318909739687452978224887685131446013628253906837772188903935856924829646826164527847638700801788439629414672943401904516239977644504632316588207476193547<172>

292969241321375439161810723284751959425533<42>
37486733760648190110694601358867309066762822053<47>
342522715884388963591122758592241072177880478014711415950711259511733929239135194203<84>

3761742008985189484318909739687452978224887685131446013628253906837772188903935856924829646826164527847638700801788439629414672943401904516239977644504632316588207476193547=292969241321375439161810723284751959425533*37486733760648190110694601358867309066762822053*342522715884388963591122758592241072177880478014711415950711259511733929239135194203

cado polynomial
n: 3761742008985189484318909739687452978224887685131446013628253906837772188903935856924829646826164527847638700801788439629414672943401904516239977644504632316588207476193547
skew: 0.94
type: snfs
c0: -26
c5: 35
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 35*x^5-26
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6100000
tasks.lim1 = 6100000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 292969241321375439161810723284751959425533 37486733760648190110694601358867309066762822053 342522715884388963591122758592241072177880478014711415950711259511733929239135194203
Info:Square Root: Total cpu/real time for sqrt: 683.14/207.599
Info:Filtering - Singleton removal: Total cpu/real time for purge: 128.9/128.919
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22430594
Info:Lattice Sieving: Average J: 1893.66 for 815735 special-q, max bucket fill -bkmult 1.0,1s:1.185500
Info:Lattice Sieving: Total time: 127792s
Info:Generate Free Relations: Total cpu/real time for freerel: 116.57/31.622
Info:Linear Algebra: Total cpu/real time for bwc: 13171.1/3390.21
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 8337.73, WCT time 2135.87, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (29184 iterations)
Info:Linear Algebra: Lingen CPU time 167.68, WCT time 42.65
Info:Linear Algebra: Mksol: CPU time 4517.53,  WCT time 1156.92, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14592 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.63/1.44199
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 87.75/101.321
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 212.62/179.124
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 161.39999999999998s
Info:Filtering - Merging: Merged matrix has 925434 rows and total weight 157830772 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 227.3/63.0705
Info:Filtering - Merging: Total cpu/real time for replay: 32.09/27.0182
Info:Quadratic Characters: Total cpu/real time for characters: 30.84/12.1893
Info:Square Root: Total cpu/real time for sqrt: 683.14/207.599
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 252358/68297.6
Info:root: Cleaning up computation data in /tmp/cado.9_8n13n_
292969241321375439161810723284751959425533 37486733760648190110694601358867309066762822053 342522715884388963591122758592241072177880478014711415950711259511733929239135194203

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-89-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

61447416944971036266455296402238776591984652992856294840011576427936760027066853319532350953016932078089836522463434655391482997382208269<137>

2817133909627012362594483406764566233430293<43>
682891655191357599559074114836901806513373281<45>
31940692978003264910318750891462700333495715947193<50>

61447416944971036266455296402238776591984652992856294840011576427936760027066853319532350953016932078089836522463434655391482997382208269=2817133909627012362594483406764566233430293*682891655191357599559074114836901806513373281*31940692978003264910318750891462700333495715947193

cado polynomial
n: 61447416944971036266455296402238776591984652992856294840011576427936760027066853319532350953016932078089836522463434655391482997382208269
skew: 0.59
type: snfs
c0: -13
c5: 175
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 175*x^5-13
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6300000
tasks.lim1 = 6300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 682891655191357599559074114836901806513373281 2817133909627012362594483406764566233430293 31940692978003264910318750891462700333495715947193
Info:Square Root: Total cpu/real time for sqrt: 213.45/68.6132
Info:Filtering - Singleton removal: Total cpu/real time for purge: 127.37/124.769
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22420188
Info:Lattice Sieving: Average J: 1894.93 for 852431 special-q, max bucket fill -bkmult 1.0,1s:1.203020
Info:Lattice Sieving: Total time: 135052s
Info:Linear Algebra: Total cpu/real time for bwc: 14384.9/3702.98
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9114.81, WCT time 2335.55, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (30208 iterations)
Info:Linear Algebra: Lingen CPU time 170.48, WCT time 43.39
Info:Linear Algebra: Mksol: CPU time 4945.79,  WCT time 1267.43, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15104 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.72/1.46926
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.66/100.838
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 100.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 212.01/179.872
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 163.0s
Info:Filtering - Merging: Merged matrix has 960564 rows and total weight 163593613 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 223.76/62.3914
Info:Filtering - Merging: Total cpu/real time for replay: 33.1/28.0706
Info:Quadratic Characters: Total cpu/real time for characters: 31.93/12.78
Info:Square Root: Total cpu/real time for sqrt: 213.45/68.6132
Info:Generate Free Relations: Total cpu/real time for freerel: 119.33/32.5521
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 266148/72116
Info:root: Cleaning up computation data in /tmp/cado.k5_dgt6i
682891655191357599559074114836901806513373281 2817133909627012362594483406764566233430293 31940692978003264910318750891462700333495715947193

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-89-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

249150511937348451460860177903334791735296873670891277797185086758409092321205692491077228880931224606652952694540493931831116853885324824451<141>

82634466029817682714246903907450338980424214950637231743549<59>
3015091933279334035268669856556266048659430305279059262451883764798299682087031999<82>

249150511937348451460860177903334791735296873670891277797185086758409092321205692491077228880931224606652952694540493931831116853885324824451=82634466029817682714246903907450338980424214950637231743549*3015091933279334035268669856556266048659430305279059262451883764798299682087031999

cado polynomial
n: 249150511937348451460860177903334791735296873670891277797185086758409092321205692491077228880931224606652952694540493931831116853885324824451
skew: 1.49
type: snfs
c0: -52
c5: 7
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 7*x^5-52
# g(x) = -x+1000000000000000000000000000000000000


cado parameters (extracts)
tasks.lim0 = 7200000
tasks.lim1 = 7200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3015091933279334035268669856556266048659430305279059262451883764798299682087031999 82634466029817682714246903907450338980424214950637231743549
Info:Square Root: Total cpu/real time for sqrt: 258.2/83.4121
Info:Filtering - Singleton removal: Total cpu/real time for purge: 106.08/110.257
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22413687
Info:Lattice Sieving: Average J: 1894.38 for 1105217 special-q, max bucket fill -bkmult 1.0,1s:1.179780
Info:Lattice Sieving: Total time: 180639s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.05/1.68586
Info:Linear Algebra: Total cpu/real time for bwc: 22053.1/5666.81
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 14012.65, WCT time 3589.51, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37120 iterations)
Info:Linear Algebra: Lingen CPU time 227.88, WCT time 57.76
Info:Linear Algebra: Mksol: CPU time 7614.47,  WCT time 1946.4, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18688 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.6/32.0326
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.65/102.884
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 102.8s
Info:Filtering - Merging: Merged matrix has 1183084 rows and total weight 202337720 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 287.83/80.0213
Info:Filtering - Merging: Total cpu/real time for replay: 42.03/35.8886
Info:Quadratic Characters: Total cpu/real time for characters: 40.1/15.9721
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.41/183.377
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 165.0s
Info:Square Root: Total cpu/real time for sqrt: 258.2/83.4121
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 360077/97030.7
Info:root: Cleaning up computation data in /tmp/cado.d1e_ow9l
3015091933279334035268669856556266048659430305279059262451883764798299682087031999 82634466029817682714246903907450338980424214950637231743549

cado-nfs-3.0.0

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

195851443419695538819924470000848503873930809161560874631402166710106271889257025374078976691711171164782545478309547395113070704046593447002375627586591381201533310859<168>

119818658851850545477806736328152957738359753130783710924961844847544405049275103<81>
1634565478335519702454186409672950059549919509887777619593770733862309371554178700016853<88>

195851443419695538819924470000848503873930809161560874631402166710106271889257025374078976691711171164782545478309547395113070704046593447002375627586591381201533310859=119818658851850545477806736328152957738359753130783710924961844847544405049275103*1634565478335519702454186409672950059549919509887777619593770733862309371554178700016853

cado polynomial
n: 195851443419695538819924470000848503873930809161560874631402166710106271889257025374078976691711171164782545478309547395113070704046593447002375627586591381201533310859
skew: 0.59
type: snfs
c0: -13
c5: 175
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 175*x^5-13
# g(x) = -x+1000000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 1634565478335519702454186409672950059549919509887777619593770733862309371554178700016853 119818658851850545477806736328152957738359753130783710924961844847544405049275103
Info:Square Root: Total cpu/real time for sqrt: 312.69/97.3882
Info:Filtering - Singleton removal: Total cpu/real time for purge: 104.91/111.127
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22415585
Info:Lattice Sieving: Average J: 1895.41 for 1239499 special-q, max bucket fill -bkmult 1.0,1s:1.183150
Info:Lattice Sieving: Total time: 207176s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.28/1.783
Info:Linear Algebra: Total cpu/real time for bwc: 26637.5/6850.51
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 16964.17, WCT time 4346.17, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40448 iterations)
Info:Linear Algebra: Lingen CPU time 242.36, WCT time 61.63
Info:Linear Algebra: Mksol: CPU time 9208.94,  WCT time 2360.29, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20224 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.06/103.937
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 103.9s
Info:Filtering - Merging: Merged matrix has 1289378 rows and total weight 220378318 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 322.33/89.4781
Info:Filtering - Merging: Total cpu/real time for replay: 46.35/39.7823
Info:Square Root: Total cpu/real time for sqrt: 312.69/97.3882
Info:Quadratic Characters: Total cpu/real time for characters: 43.73/17.7642
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.71/179.454
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 166.1s
Info:Generate Free Relations: Total cpu/real time for freerel: 118.68/32.0864
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 414054/111491
Info:root: Cleaning up computation data in /tmp/cado.3jf3mupp
1634565478335519702454186409672950059549919509887777619593770733862309371554178700016853 119818658851850545477806736328152957738359753130783710924961844847544405049275103

cado-nfs-3.0.0

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

35009656276570091937231094253174609815070870334962085452974051643430107698572817906960772457625211553389669343320053100866748443684289<134>

4049585793620110557406870507248270636955906551240064199622635296697<67>
8645243751033943094401598658692945615883076015359217927504674814537<67>

35009656276570091937231094253174609815070870334962085452974051643430107698572817906960772457625211553389669343320053100866748443684289=4049585793620110557406870507248270636955906551240064199622635296697*8645243751033943094401598658692945615883076015359217927504674814537

cado polynomial
n: 35009656276570091937231094253174609815070870334962085452974051643430107698572817906960772457625211553389669343320053100866748443684289
skew: 0.38
type: snfs
c0: -13
c5: 1750
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 1750*x^5-13
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7900000
tasks.lim1 = 7900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 8645243751033943094401598658692945615883076015359217927504674814537 4049585793620110557406870507248270636955906551240064199622635296697
Info:Square Root: Total cpu/real time for sqrt: 357.81/112.237
Info:Filtering - Singleton removal: Total cpu/real time for purge: 96.31/105.6
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22417167
Info:Lattice Sieving: Average J: 1893.92 for 1358586 special-q, max bucket fill -bkmult 1.0,1s:1.214070
Info:Lattice Sieving: Total time: 276364s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.38/1.83971
Info:Linear Algebra: Total cpu/real time for bwc: 30251.4/7759.19
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 19305.08, WCT time 4933.38, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43008 iterations)
Info:Linear Algebra: Lingen CPU time 262.79, WCT time 66.75
Info:Linear Algebra: Mksol: CPU time 10446.8,  WCT time 2670.46, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (21504 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.83/33.2907
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.03/104.949
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 104.8s
Info:Filtering - Merging: Merged matrix has 1368380 rows and total weight 233280733 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 353.86/97.9672
Info:Filtering - Merging: Total cpu/real time for replay: 49.76/42.5962
Info:Quadratic Characters: Total cpu/real time for characters: 46.75/19.3002
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 216/187.164
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 167.60000000000002s
Info:Square Root: Total cpu/real time for sqrt: 357.81/112.237
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 560072/78199.3
Info:root: Cleaning up computation data in /tmp/cado.yn7fnma1
8645243751033943094401598658692945615883076015359217927504674814537 4049585793620110557406870507248270636955906551240064199622635296697

cado-nfs-3.0.0

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

65194828743894020981599259928464320898943907767782182511467625916211173565916883296760500723479337469203993944245853806153223<125>

26010900242224536600592796769663979<35>
2506442612011584403888901298337979575547615936971493211931578829350647667582932764192734037<91>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2822434386
Step 1 took 5244ms
Step 2 took 2890ms
********** Factor found in step 2: 26010900242224536600592796769663979
Found prime factor of 35 digits: 26010900242224536600592796769663979
Prime cofactor 2506442612011584403888901298337979575547615936971493211931578829350647667582932764192734037 has 91 digits

8755678452802871739941150047840292408326895256094187032386912337729920922301192830745102049230525887651405344251656224505258482534607664426904098146627056329516610295553<169>

31088393472161163906033551353584685541461432303202963973849830358219779<71>
281638176660474616605572425147096522829871728363706412202936586140118357042182591733426691322964907<99>

8755678452802871739941150047840292408326895256094187032386912337729920922301192830745102049230525887651405344251656224505258482534607664426904098146627056329516610295553=31088393472161163906033551353584685541461432303202963973849830358219779*281638176660474616605572425147096522829871728363706412202936586140118357042182591733426691322964907

cado polynomial
n: 8755678452802871739941150047840292408326895256094187032386912337729920922301192830745102049230525887651405344251656224505258482534607664426904098146627056329516610295553
skew: 0.94
type: snfs
c0: -26
c5: 35
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 35*x^5-26
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9000000
tasks.lim1 = 9000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 31088393472161163906033551353584685541461432303202963973849830358219779 281638176660474616605572425147096522829871728363706412202936586140118357042182591733426691322964907
Info:Square Root: Total cpu/real time for sqrt: 460.95/154.09
Info:Filtering - Singleton removal: Total cpu/real time for purge: 283.79/336.842
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24214226
Info:Lattice Sieving: Average J: 1894.58 for 1604636 special-q, max bucket fill -bkmult 1.0,1s:1.178930
Info:Lattice Sieving: Total time: 289131s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.77/2.05137
Info:Linear Algebra: Total cpu/real time for bwc: 51957.7/13352.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 33263.51, WCT time 8510.99, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55296 iterations)
Info:Linear Algebra: Lingen CPU time 346.82, WCT time 88.12
Info:Linear Algebra: Mksol: CPU time 18019.78,  WCT time 4627.12, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27648 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 98.56/110.971
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 110.5s
Info:Filtering - Merging: Merged matrix has 1765876 rows and total weight 301552340 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 470.2/130.676
Info:Filtering - Merging: Total cpu/real time for replay: 68.05/57.7872
Info:Quadratic Characters: Total cpu/real time for characters: 62.93/26.2601
Info:Generate Free Relations: Total cpu/real time for freerel: 119/32.0764
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 394.1/391.953
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 315.8s
Info:Square Root: Total cpu/real time for sqrt: 460.95/154.09
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 593354/158991
Info:root: Cleaning up computation data in /tmp/cado.byp2h9i8
31088393472161163906033551353584685541461432303202963973849830358219779 281638176660474616605572425147096522829871728363706412202936586140118357042182591733426691322964907

cado-nfs-3.0.0

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

2271200415373535731688044799007164485810525394891226273560764290514035354016485839943872511840429631009012173804661566495518555249165529731013893921240674678991<160>

15648400643350674447013843235987000704378227544166031769245544269199<68>
145139459752943841591242754388539593088841528033797688718305899346072717483436351577086703809<93>

2271200415373535731688044799007164485810525394891226273560764290514035354016485839943872511840429631009012173804661566495518555249165529731013893921240674678991=15648400643350674447013843235987000704378227544166031769245544269199*145139459752943841591242754388539593088841528033797688718305899346072717483436351577086703809

cado polynomial
n: 2271200415373535731688044799007164485810525394891226273560764290514035354016485839943872511840429631009012173804661566495518555249165529731013893921240674678991
skew: 1.18
type: snfs
c0: -65
c5: 28
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 28*x^5-65
# g(x) = -x+50000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10300000
tasks.lim1 = 10300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 15648400643350674447013843235987000704378227544166031769245544269199 145139459752943841591242754388539593088841528033797688718305899346072717483436351577086703809
Info:Square Root: Total cpu/real time for sqrt: 884.98/272.015
Info:Filtering - Singleton removal: Total cpu/real time for purge: 327.41/388.824
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25221815
Info:Lattice Sieving: Average J: 1894.49 for 2002131 special-q, max bucket fill -bkmult 1.0,1s:1.148110
Info:Lattice Sieving: Total time: 386573s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.38/2.3029
Info:Linear Algebra: Total cpu/real time for bwc: 62514.7/16030.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 40010.06, WCT time 10212.52, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (60672 iterations)
Info:Linear Algebra: Lingen CPU time 386.16, WCT time 98.17
Info:Linear Algebra: Mksol: CPU time 21754.21,  WCT time 5572.65, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30464 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.29/31.9735
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.25/123.122
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 122.69999999999999s
Info:Filtering - Merging: Merged matrix has 1938412 rows and total weight 329646994 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 510.45/141.513
Info:Filtering - Merging: Total cpu/real time for replay: 73.39/63.095
Info:Quadratic Characters: Total cpu/real time for characters: 67.54/28.7423
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 438.08/440.658
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 354.09999999999997s
Info:Square Root: Total cpu/real time for sqrt: 884.98/272.015
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 788709/210558
Info:root: Cleaning up computation data in /tmp/cado.eklg2mmh
15648400643350674447013843235987000704378227544166031769245544269199 145139459752943841591242754388539593088841528033797688718305899346072717483436351577086703809

cado-nfs-3.0.0

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

437770907649851138198979042267682549604272186383255542502123303454619018856882123649492050938170717477507095575638659120143292576443958379959919410644862601309<159>

3697950812760599230750888584546860825103881<43>
447752701689094736635457338243201809683151966578002267<54>
264391538269237382000348889207866003160339553600249607575576367<63>

437770907649851138198979042267682549604272186383255542502123303454619018856882123649492050938170717477507095575638659120143292576443958379959919410644862601309=3697950812760599230750888584546860825103881*447752701689094736635457338243201809683151966578002267*264391538269237382000348889207866003160339553600249607575576367

cado polynomial
n: 437770907649851138198979042267682549604272186383255542502123303454619018856882123649492050938170717477507095575638659120143292576443958379959919410644862601309
skew: 1.49
type: snfs
c0: -52
c5: 7
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 7*x^5-52
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10600000
tasks.lim1 = 10600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 264391538269237382000348889207866003160339553600249607575576367 3697950812760599230750888584546860825103881 447752701689094736635457338243201809683151966578002267
Info:Square Root: Total cpu/real time for sqrt: 519.43/165.345
Info:Generate Free Relations: Total cpu/real time for freerel: 118.82/30.6801
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 107.86/125.405
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 124.8s
Info:Linear Algebra: Total cpu/real time for bwc: 51184.9/13141.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 24766.76, WCT time 6346.15, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (65536 iterations)
Info:Linear Algebra: Lingen CPU time 469.32, WCT time 119.27
Info:Linear Algebra: Mksol: CPU time 25943.03,  WCT time 6656.56, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32768 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.48/2.34684
Info:Square Root: Total cpu/real time for sqrt: 519.43/165.345
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 446.48/447.342
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 361.5s
Info:Filtering - Merging: Merged matrix has 2095084 rows and total weight 357589968 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 561.31/155.446
Info:Filtering - Merging: Total cpu/real time for replay: 80.34/69.3997
Info:Filtering - Singleton removal: Total cpu/real time for purge: 333.42/392.985
Info:Quadratic Characters: Total cpu/real time for characters: 72.64/31.6853
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26036793
Info:Lattice Sieving: Average J: 1894.11 for 2374195 special-q, max bucket fill -bkmult 1.0,1s:1.129140
Info:Lattice Sieving: Total time: 462684s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 917919/13345.3
264391538269237382000348889207866003160339553600249607575576367 3697950812760599230750888584546860825103881 447752701689094736635457338243201809683151966578002267

cado-nfs-3.0.0

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

6292121185975772972086817496816738603371305698591942713460688542267719855115139690441096114338774639776102076476962345326119740794845227710986335016996981<154>

37906134248326814652471676756137059<35>
165992162238319214145360059907530205937795224670101670176073241196214598980971643408381985430256913390543643454416159559<120>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1795393919
Step 1 took 5297ms
Step 2 took 2625ms
********** Factor found in step 2: 37906134248326814652471676756137059
Found prime factor of 35 digits: 37906134248326814652471676756137059
Prime cofactor 165992162238319214145360059907530205937795224670101670176073241196214598980971643408381985430256913390543643454416159559 has 120 digits

352120547898537366365517680182798841471350927036360836821104729187638856083787701731179690198393061805023841749524468778229053443<129>

66105097658929298212703362551873304870285004063942528979330971<62>
5326677674924724552209559203362282716142320678101163370759187733433<67>

352120547898537366365517680182798841471350927036360836821104729187638856083787701731179690198393061805023841749524468778229053443=66105097658929298212703362551873304870285004063942528979330971*5326677674924724552209559203362282716142320678101163370759187733433 

cado polynomial
n: 352120547898537366365517680182798841471350927036360836821104729187638856083787701731179690198393061805023841749524468778229053443
skew: 37759.639
c0: 7482143803759010894939974686
c1: 2022082463026171636108017
c2: 74978916681749043204
c3: -3356758479159895
c4: -8874925668
c5: 450240
Y0: -5002129206381255177456718
Y1: 267469143574064773
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.173e-07
# f(x) = 450240*x^5-8874925668*x^4-3356758479159895*x^3+74978916681749043204*x^2+2022082463026171636108017*x+7482143803759010894939974686
# g(x) = 267469143574064773*x-5002129206381255177456718

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: 5326677674924724552209559203362282716142320678101163370759187733433 66105097658929298212703362551873304870285004063942528979330971
Info:Square Root: Total cpu/real time for sqrt: 1408.95/374.555
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4955
Info:Polynomial Selection (root optimized): Rootsieve time: 4952.49
Info:Generate Factor Base: Total cpu/real time for makefb: 40.55/10.8176
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 99.23/116.069
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 115.89999999999999s
Info:Linear Algebra: Total cpu/real time for bwc: 48527.5/12478.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 31018.29, WCT time 7938.32, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (54016 iterations)
Info:Linear Algebra: Lingen CPU time 337.38, WCT time 85.68
Info:Linear Algebra: Mksol: CPU time 16857.59,  WCT time 4331.9, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27136 iterations)
Info:Filtering - Merging: Merged matrix has 1726461 rows and total weight 294497902 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 443.87/124.55
Info:Filtering - Merging: Total cpu/real time for replay: 69.12/58.0513
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 302.72/270.936
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 245.70000000000002s
Info:Quadratic Characters: Total cpu/real time for characters: 67.51/27.5931
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): 38567/39.350/45.867/49.970/0.845
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30536/37.370/41.142/46.680/0.946
Info:Polynomial Selection (size optimized): Total time: 4821.21
Info:Generate Free Relations: Total cpu/real time for freerel: 251.84/64.5986
Info:Square Root: Total cpu/real time for sqrt: 1408.95/374.555
Info:Filtering - Singleton removal: Total cpu/real time for purge: 157.48/178.628
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23440909
Info:Lattice Sieving: Average J: 7645.94 for 57334 special-q, max bucket fill -bkmult 1.0,1s:1.074900
Info:Lattice Sieving: Total time: 80007.2s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 211801/56913.4
Info:root: Cleaning up computation data in /tmp/cado.atszlaf4
5326677674924724552209559203362282716142320678101163370759187733433 66105097658929298212703362551873304870285004063942528979330971

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

9592729566437084209840875590944641683508693596975699455276375246653269686429371773739887195360581521568108697993186325631871570573657573602027319148912144213339924371562769949<175>

1774632512399751832344127979742419567340476053861334642762413253633998064309011<79>
5405473809034011515952287791558380714723039968445775385731638594220534300224989345008711100985359<97>

Number: n
N=9592729566437084209840875590944641683508693596975699455276375246653269686429371773739887195360581521568108697993186325631871570573657573602027319148912144213339924371562769949  ( 175 digits)
SNFS difficulty: 194 digits.
Divisors found:

Sun Nov 14 00:19:22 2021  p79 factor: 1774632512399751832344127979742419567340476053861334642762413253633998064309011
Sun Nov 14 00:19:22 2021  p97 factor: 5405473809034011515952287791558380714723039968445775385731638594220534300224989345008711100985359
Sun Nov 14 00:19:22 2021  elapsed time 00:48:07 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 7x10^194-52 = 7(193)2
#
n: 9592729566437084209840875590944641683508693596975699455276375246653269686429371773739887195360581521568108697993186325631871570573657573602027319148912144213339924371562769949
m: 500000000000000000000000000000000000000
deg: 5
c5: 28
c0: -65
skew: 1.18
# Murphy_E = 2.272e-11
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4755011 hash collisions in 34178339 relations (31283776 unique)
Msieve: matrix is 1415490 x 1415715 (491.5 MB)

Sieving start time : 2021/11/13 18:20:26
Sieving end time  : 2021/11/13 23:30:35

Total sieving time: 5hrs 10min 9secs.

Total relation processing time: 0hrs 37min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 37sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

3900848968918457290773595040427486863759154207456746241301366207045224643723958910613754621003329957444614781215330594404840791562877946454892518240254775477355667<163>

186508466382365891236994987212567401133431511238529186721199413705819<69>
20915130795838643934181688593124807954016482714816903441075060671662874796943367681255563095593<95>

3900848968918457290773595040427486863759154207456746241301366207045224643723958910613754621003329957444614781215330594404840791562877946454892518240254775477355667=186508466382365891236994987212567401133431511238529186721199413705819*20915130795838643934181688593124807954016482714816903441075060671662874796943367681255563095593

cado polynomial
n: 3900848968918457290773595040427486863759154207456746241301366207045224643723958910613754621003329957444614781215330594404840791562877946454892518240254775477355667
skew: 0.94
type: snfs
c0: -26
c5: 35
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 35*x^5-26
# g(x) = -x+1000000000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 186508466382365891236994987212567401133431511238529186721199413705819 20915130795838643934181688593124807954016482714816903441075060671662874796943367681255563095593
Info:Square Root: Total cpu/real time for sqrt: 1179.2/167.997
Info:Generate Free Relations: Total cpu/real time for freerel: 143.39/14.123
Info:Filtering - Merging: Merged matrix has 2797994 rows and total weight 479032907 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 901.64/180.061
Info:Filtering - Merging: Total cpu/real time for replay: 109.26/85.4998
Info:Generate Factor Base: Total cpu/real time for makefb: 7.17/1.26783
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 772.12/545.348
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 412.4s
Info:Quadratic Characters: Total cpu/real time for characters: 104.44/26.2281
Info:Square Root: Total cpu/real time for sqrt: 1179.2/167.997
Info:Linear Algebra: Total cpu/real time for bwc: 157494/28481.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 101499.85, WCT time 18350.54, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (87552 iterations)
Info:Linear Algebra: Lingen CPU time 1272.28, WCT time 111.2
Info:Linear Algebra: Mksol: CPU time 53821.04,  WCT time 9800.86, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (44032 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 598.81/608.205
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29954644
Info:Lattice Sieving: Average J: 1893.74 for 3922205 special-q, max bucket fill -bkmult 1.0,1s:1.120670
Info:Lattice Sieving: Total time: 882147s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 169.47/74.6007
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 73.6s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.88145e+06/362871
Info:root: Cleaning up computation data in /tmp/cado.z_cyqgsr
186508466382365891236994987212567401133431511238529186721199413705819 20915130795838643934181688593124807954016482714816903441075060671662874796943367681255563095593

cado-nfs-3.0.0

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

15648213803584132089123156030377758160585319087777154246709421088259328662136216162921151890916395755140427593390146909795998244233807219050741167400124676375935759667824716375734307<182>

78178394648576560115968028455977337288773570298579046579905124500388724209305264351399<86>
200160336803092032994693243162991190116868481019253348617279224127155250721673358746220931065893<96>

Number: n
N=15648213803584132089123156030377758160585319087777154246709421088259328662136216162921151890916395755140427593390146909795998244233807219050741167400124676375935759667824716375734307  ( 182 digits)
SNFS difficulty: 197 digits.
Divisors found:

Fri Nov 12 09:36:00 2021  p86 factor: 78178394648576560115968028455977337288773570298579046579905124500388724209305264351399
Fri Nov 12 09:36:00 2021  p96 factor: 200160336803092032994693243162991190116868481019253348617279224127155250721673358746220931065893
Fri Nov 12 09:36:00 2021  elapsed time 01:08:06 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 7x10^197-52 = 7(196)2
#
n: 15648213803584132089123156030377758160585319087777154246709421088259328662136216162921151890916395755140427593390146909795998244233807219050741167400124676375935759667824716375734307
m: 1000000000000000000000000000000000000000
deg: 5
c5: 175
c0: -13
skew: 0.59
# Murphy_E = 1.817e-11
type: snfs
lss: 1
rlim: 13600000
alim: 13600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5188816 hash collisions in 37694093 relations (33723386 unique)
Msieve: matrix is 1585646 x 1585871 (543.1 MB)

Sieving start time : 2021/11/12 00:28:08
Sieving end time  : 2021/11/12 08:27:18

Total sieving time: 7hrs 59min 10secs.

Total relation processing time: 0hrs 50min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 43sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13600000,13600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

8135064763686744256078092510009242024917387211492779928248685699313715927962731764802011718395558816295740180118931365201734350098133816730142175406476443<154>

532836552834201564193821059715882874370953479337881422603806032511<66>
15267467519665578366505737665433632248734963457466237075560113005591322437825536978595813<89>

8135064763686744256078092510009242024917387211492779928248685699313715927962731764802011718395558816295740180118931365201734350098133816730142175406476443=532836552834201564193821059715882874370953479337881422603806032511*15267467519665578366505737665433632248734963457466237075560113005591322437825536978595813

cado polynomial
n: 8135064763686744256078092510009242024917387211492779928248685699313715927962731764802011718395558816295740180118931365201734350098133816730142175406476443
skew: 1.40
type: snfs
c0: -52
c6: 7
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 7*x^6-52
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14400000
tasks.lim1 = 14400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 532836552834201564193821059715882874370953479337881422603806032511 15267467519665578366505737665433632248734963457466237075560113005591322437825536978595813
Info:Square Root: Total cpu/real time for sqrt: 738.18/227.765
Info:Filtering - Singleton removal: Total cpu/real time for purge: 428.65/501.361
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28508331
Info:Lattice Sieving: Average J: 1894.45 for 3540155 special-q, max bucket fill -bkmult 1.0,1s:1.225780
Info:Lattice Sieving: Total time: 771631s
Info:Generate Factor Base: Total cpu/real time for makefb: 9.34/3.6412
Info:Linear Algebra: Total cpu/real time for bwc: 119978/30702.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 77062.27, WCT time 19640.58, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (81920 iterations)
Info:Linear Algebra: Lingen CPU time 568.53, WCT time 144.06
Info:Linear Algebra: Mksol: CPU time 41403.36,  WCT time 10570.65, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40960 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 180.84/46.9402
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 121.11/138.439
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 137.90000000000003s
Info:Filtering - Merging: Merged matrix has 2606851 rows and total weight 445381279 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 725.79/200.377
Info:Filtering - Merging: Total cpu/real time for replay: 102.4/90.6938
Info:Quadratic Characters: Total cpu/real time for characters: 89.97/39.7186
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 543.8/558.465
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 448.5s
Info:Square Root: Total cpu/real time for sqrt: 738.18/227.765
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.56668e+06/418354
Info:root: Cleaning up computation data in /tmp/cado.akg2bbt0
532836552834201564193821059715882874370953479337881422603806032511 15267467519665578366505737665433632248734963457466237075560113005591322437825536978595813

cado-nfs-3.0.0

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

643527164835301289002653144677192375413802711111509519937010826701677311576355675755798259232593806101233255713306802538900600711555237812278153541359126073299300979870814709<174>

14192495201659156143211088695405984751311884316420694995942721<62>
45342778397421655613757893782229436679362804915630453408659093822185352825924941191186447715676961115558890619829<113>

Number: n
N=643527164835301289002653144677192375413802711111509519937010826701677311576355675755798259232593806101233255713306802538900600711555237812278153541359126073299300979870814709  ( 174 digits)
SNFS difficulty: 199 digits.
Divisors found:

Tue Nov 16 19:31:45 2021  p62 factor: 14192495201659156143211088695405984751311884316420694995942721
Tue Nov 16 19:31:45 2021  p113 factor: 45342778397421655613757893782229436679362804915630453408659093822185352825924941191186447715676961115558890619829
Tue Nov 16 19:31:45 2021  elapsed time 01:11:07 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 7x10^199-52 = 7(198)2
#
n: 643527164835301289002653144677192375413802711111509519937010826701677311576355675755798259232593806101233255713306802538900600711555237812278153541359126073299300979870814709
m: 5000000000000000000000000000000000000000
deg: 5
c5: 28
c0: -65
skew: 1.18
# Murphy_E = 1.406e-11
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4986120 hash collisions in 33565356 relations (30275363 unique)
Msieve: matrix is 1738569 x 1738794 (603.1 MB)

Sieving start time : 2021/11/16 10:13:17
Sieving end time  : 2021/11/16 18:20:06

Total sieving time: 8hrs 6min 49secs.

Total relation processing time: 1hrs 0min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 2sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

29173978539274741786834925562824734779265938026051234673802598048206213386427544960812778851690725562847443316754154912212280488189136786490798811492954616247837485672202856889<176>

11731984990832045874855242004014915293<38>

2486704386518797417933580641656807011344144676397661465411933017989183522998177433636751993093108530516938807351023416257478607075595858573<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2969812634
Step 1 took 8894ms
Step 2 took 4147ms
********** Factor found in step 2: 11731984990832045874855242004014915293
Found prime factor of 38 digits: 11731984990832045874855242004014915293
Composite cofactor 2486704386518797417933580641656807011344144676397661465411933017989183522998177433636751993093108530516938807351023416257478607075595858573 has 139 digits

2486704386518797417933580641656807011344144676397661465411933017989183522998177433636751993093108530516938807351023416257478607075595858573<139>

31319990682610959808941265373259791033984869449678427535422503543089<68>
79396715398751063263901761260744008540242759361434383020005341689622557<71>

Mon Nov  8 15:29:57 2021  Msieve v. 1.53 (SVN unknown)
Mon Nov  8 15:29:57 2021  random seeds: 0d2e3b30 e357054b
Mon Nov  8 15:29:57 2021  factoring 2486704386518797417933580641656807011344144676397661465411933017989183522998177433636751993093108530516938807351023416257478607075595858573 (139 digits)
Mon Nov  8 15:29:58 2021  searching for 15-digit factors
Mon Nov  8 15:29:58 2021  commencing number field sieve (139-digit input)
Mon Nov  8 15:29:58 2021  R0: -420939989906437196091341886
Mon Nov  8 15:29:58 2021  R1: 3870807351367979
Mon Nov  8 15:29:58 2021  A0: -5185074344378542507621751782573
Mon Nov  8 15:29:58 2021  A1: -1135337418727735027433066768
Mon Nov  8 15:29:58 2021  A2: 3470024427425049067153
Mon Nov  8 15:29:58 2021  A3: 1739483852978585072
Mon Nov  8 15:29:58 2021  A4: -192033394644
Mon Nov  8 15:29:58 2021  A5: 188160
Mon Nov  8 15:29:58 2021  skew 123407.66, size 1.169e-13, alpha -6.126, combined = 1.667e-11 rroots = 3
Mon Nov  8 15:29:58 2021  
Mon Nov  8 15:29:58 2021  commencing square root phase
Mon Nov  8 15:29:58 2021  reading relations for dependency 1
Mon Nov  8 15:29:59 2021  read 1263248 cycles
Mon Nov  8 15:30:00 2021  cycles contain 3897222 unique relations
Mon Nov  8 15:30:28 2021  read 3897222 relations
Mon Nov  8 15:30:43 2021  multiplying 3897222 relations
Mon Nov  8 15:32:53 2021  multiply complete, coefficients have about 203.86 million bits
Mon Nov  8 15:32:54 2021  initial square root is modulo 20695901
Mon Nov  8 15:35:46 2021  GCD is 1, no factor found
Mon Nov  8 15:35:46 2021  reading relations for dependency 2
Mon Nov  8 15:35:46 2021  read 1262506 cycles
Mon Nov  8 15:35:48 2021  cycles contain 3897554 unique relations
Mon Nov  8 15:36:17 2021  read 3897554 relations
Mon Nov  8 15:36:31 2021  multiplying 3897554 relations
Mon Nov  8 15:38:40 2021  multiply complete, coefficients have about 203.87 million bits
Mon Nov  8 15:38:41 2021  initial square root is modulo 20723413
Mon Nov  8 15:41:39 2021  sqrtTime: 701
Mon Nov  8 15:41:39 2021  p68 factor: 31319990682610959808941265373259791033984869449678427535422503543089
Mon Nov  8 15:41:39 2021  p71 factor: 79396715398751063263901761260744008540242759361434383020005341689622557
Mon Nov  8 15:41:39 2021  elapsed time 00:11:42

194444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<201>

65282516610542481159564377275983624096607696807373397278178335242499874988867688766101<86>
2978507179869404553822669591854364695451093775955979334011609972963252398047699915786642173253240076504053909692143<115>

Number: n
N=194444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443  ( 201 digits)
SNFS difficulty: 201 digits.
Divisors found:

Wed Nov  3 00:50:43 2021  p86 factor: 65282516610542481159564377275983624096607696807373397278178335242499874988867688766101
Wed Nov  3 00:50:43 2021  p115 factor: 2978507179869404553822669591854364695451093775955979334011609972963252398047699915786642173253240076504053909692143
Wed Nov  3 00:50:43 2021  elapsed time 01:43:51 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 7x10^201-52 = 7(200)2
#
n: 19444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444
3
m: 10000000000000000000000000000000000000000
deg: 5
c5: 35
c0: -26
skew: 0.94
# Murphy_E = 1.175e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9159164 hash collisions in 63081417 relations (56388169 unique)
Msieve: matrix is 1996748 x 1996975 (690.9 MB)

Sieving start time : 2021/11/02 12:38:19
Sieving end time  : 2021/11/02 23:05:55

Total sieving time: 10hrs 27min 36secs.

Total relation processing time: 1hrs 21min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 42sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

20388803485006101855484714706301698757702308792821690684966291848366548233069998635017375980203297600390507262755815329035165994076113566294087545091332265200631375138325566506621<179>

20460770063665935007267062185064647611<38>

996482704295297721833272519263017683847188692965602073525523094013763788765010650433428630544747514489464852690775564380852951542427382703911<141>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3678106120
Step 1 took 7419ms
Step 2 took 3522ms
********** Factor found in step 2: 20460770063665935007267062185064647611
Found prime factor of 38 digits: 20460770063665935007267062185064647611
Composite cofactor 996482704295297721833272519263017683847188692965602073525523094013763788765010650433428630544747514489464852690775564380852951542427382703911 has 141 digits

996482704295297721833272519263017683847188692965602073525523094013763788765010650433428630544747514489464852690775564380852951542427382703911<141>

118588414788367369441347819302340986589402363673<48>
8402867228418717103341135492350532708134538991584176330232546448966903968855852752638036793407<94>

996482704295297721833272519263017683847188692965602073525523094013763788765010650433428630544747514489464852690775564380852951542427382703911=118588414788367369441347819302340986589402363673*8402867228418717103341135492350532708134538991584176330232546448966903968855852752638036793407

cado polynomial
n: 996482704295297721833272519263017683847188692965602073525523094013763788765010650433428630544747514489464852690775564380852951542427382703911
skew: 968388.272
c0: 5584385409423781181264524347709668
c1: 4119276709094337521086187852
c2: 37804338091400233916081
c3: -26554125834708912
c4: 27476819576
c5: 12960
Y0: -2376218839837094603743395205
Y1: 16838403405387766367
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.203e-07
# f(x) = 12960*x^5+27476819576*x^4-26554125834708912*x^3+37804338091400233916081*x^2+4119276709094337521086187852*x+5584385409423781181264524347709668
# g(x) = 16838403405387766367*x-2376218839837094603743395205

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

cado log (extracts)
Info:Square Root: Factors: 118588414788367369441347819302340986589402363673 8402867228418717103341135492350532708134538991584176330232546448966903968855852752638036793407
Info:Square Root: Total cpu/real time for sqrt: 806.72/241.535
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 606.2/579.439
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 487.20000000000005s
Info:Square Root: Total cpu/real time for sqrt: 806.72/241.535
Info:Filtering - Singleton removal: Total cpu/real time for purge: 403.57/460.995
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 34294349
Info:Lattice Sieving: Average J: 3842.65 for 1079422 special-q, max bucket fill -bkmult 1.0,1s:1.170240
Info:Lattice Sieving: Total time: 383880s
Info:Linear Algebra: Total cpu/real time for bwc: 68439.3/17567.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 43902.53, WCT time 11215.38, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (63488 iterations)
Info:Linear Algebra: Lingen CPU time 404.68, WCT time 102.84
Info:Linear Algebra: Mksol: CPU time 23745.25,  WCT time 6085.81, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (31744 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 494.08/124.61
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 153.98/178.936
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 178.39999999999998s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 9783.48
Info:Polynomial Selection (root optimized): Rootsieve time: 9781.06
Info:Filtering - Merging: Merged matrix has 2026891 rows and total weight 346019495 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 522.01/146.489
Info:Filtering - Merging: Total cpu/real time for replay: 81.72/69.1725
Info:Quadratic Characters: Total cpu/real time for characters: 78.33/33.793
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66398/42.290/50.757/55.590/0.926
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54144/41.560/45.478/51.450/1.179
Info:Polynomial Selection (size optimized): Total time: 22873.4
Info:Generate Factor Base: Total cpu/real time for makefb: 11.75/3.13814
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 823281/219969
Info:root: Cleaning up computation data in /tmp/cado._lhs2m1h
118588414788367369441347819302340986589402363673 8402867228418717103341135492350532708134538991584176330232546448966903968855852752638036793407

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-89-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

101801893297698474251999528159216936640255675289606368456326399641607761598752596634043351710188109033570371156840537818129114671096048819932544259231<150>

236691783640092541302757346741305953991502262001172397306082955606645453343022441199152789295302434961261782459603014330306840966821812705439634538441102233021317318368873901729<177>

607790024434803306511797704393966244893<39>

389430188263121291030667418699534363225170646877028669383739375252595713283335546117554036942485411026042340615935397507694735242421056853<138>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4234736259
Step 1 took 20948ms
Step 2 took 9028ms
********** Factor found in step 2: 607790024434803306511797704393966244893
Found prime factor of 39 digits: 607790024434803306511797704393966244893
Composite cofactor 389430188263121291030667418699534363225170646877028669383739375252595713283335546117554036942485411026042340615935397507694735242421056853 has 138 digits

389430188263121291030667418699534363225170646877028669383739375252595713283335546117554036942485411026042340615935397507694735242421056853<138>

25422852214273690661775992018102755988387276661007984883160495331<65>
15318115567083194855091301119783179924814531639917599780293003899810921063<74>

389430188263121291030667418699534363225170646877028669383739375252595713283335546117554036942485411026042340615935397507694735242421056853=25422852214273690661775992018102755988387276661007984883160495331*15318115567083194855091301119783179924814531639917599780293003899810921063

cado polynomial
n: 389430188263121291030667418699534363225170646877028669383739375252595713283335546117554036942485411026042340615935397507694735242421056853
skew: 280834.743
c0: 169763162910696044920853045890442
c1: -2074282537336207189767516809
c2: -25183162781804846733426
c3: 21213817660983491
c4: -88042727138
c5: 132720
Y0: -360504671385504802725198444
Y1: 19942821757546794191
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.943e-07
# f(x) = 132720*x^5-88042727138*x^4+21213817660983491*x^3-25183162781804846733426*x^2-2074282537336207189767516809*x+169763162910696044920853045890442
# g(x) = 19942821757546794191*x-360504671385504802725198444

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

cado log (extracts)
Info:Square Root: Factors: 15318115567083194855091301119783179924814531639917599780293003899810921063 25422852214273690661775992018102755988387276661007984883160495331
Info:Square Root: Total cpu/real time for sqrt: 765.1/227.765
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 145.77/168.017
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 167.9s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7008.55
Info:Polynomial Selection (root optimized): Rootsieve time: 7006.09
Info:Generate Factor Base: Total cpu/real time for makefb: 11.81/3.14573
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 396.99/336.962
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 313.6s
Info:Filtering - Merging: Merged matrix has 1784669 rows and total weight 304327445 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 436.3/124.233
Info:Filtering - Merging: Total cpu/real time for replay: 72.71/61.7417
Info:Linear Algebra: Total cpu/real time for bwc: 53419.3/13763.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 33687.24, WCT time 8667.3, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55808 iterations)
Info:Linear Algebra: Lingen CPU time 348.7, WCT time 88.61
Info:Linear Algebra: Mksol: CPU time 19053.93,  WCT time 4881.1, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27904 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 490.28/123.744
Info:Quadratic Characters: Total cpu/real time for characters: 70.09/29.6043
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66475/41.060/49.492/54.690/0.949
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54566/40.290/44.109/50.210/0.966
Info:Polynomial Selection (size optimized): Total time: 22775.7
Info:Square Root: Total cpu/real time for sqrt: 765.1/227.765
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32839000
Info:Lattice Sieving: Average J: 3799.55 for 769828 special-q, max bucket fill -bkmult 1.0,1s:1.148580
Info:Lattice Sieving: Total time: 276489s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 151.55/171.266
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 604136/161870
Info:root: Cleaning up computation data in /tmp/cado.2k39_xxa
15318115567083194855091301119783179924814531639917599780293003899810921063 25422852214273690661775992018102755988387276661007984883160495331

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-89-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

62927004674577490111470693994965839626033800791082344480402732829917295936713412441567781373606616325062927004674577490111470693994965839626033800791082344480402732829917295936713412441567781373606616325062927<209>

180458319880555137317361101403424915738671776663454044837071304524526206075991016254585773550167032769286640898740210848904755003010565073663145659080282685884905821<165>

5729016445686929471758269545613476529368439624893719638901423245791855322194065644723230387610002262651460626525361414186735496101228385526385681160938749644773111161720078180723255187235837<190>

497736509286517138088877514145406702842228199793515134785832287811873598249361211772087444349693057215414198975371379174577049901150315721383158796206004464956294238606622610097007252481201<189>

267593203643614903274529338867770424941302058422227729854433160479071410383913210866664720733783416293559366727427667330810884880475077997887883063<147>

184284019618446971085706632545014329860868586400662955895447004212729701<72>
1452069496843277121853189854451224308700765326548605515236036335510943481963<76>

267593203643614903274529338867770424941302058422227729854433160479071410383913210866664720733783416293559366727427667330810884880475077997887883063=184284019618446971085706632545014329860868586400662955895447004212729701*1452069496843277121853189854451224308700765326548605515236036335510943481963

cado polynomial
n: 267593203643614903274529338867770424941302058422227729854433160479071410383913210866664720733783416293559366727427667330810884880475077997887883063
skew: 247497.794
c0: -299397180939740330339502367536960
c1: -1877411660066339897975183355
c2: -44388136642109483725981
c3: 11875127646669208
c4: 555796403144
c5: -539400
Y0: -15826671934215338802665437142
Y1: 12510007350244103051
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.510e-07
# f(x) = -539400*x^5+555796403144*x^4+11875127646669208*x^3-44388136642109483725981*x^2-1877411660066339897975183355*x-299397180939740330339502367536960
# g(x) = 12510007350244103051*x-15826671934215338802665437142

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: 1452069496843277121853189854451224308700765326548605515236036335510943481963 184284019618446971085706632545014329860868586400662955895447004212729701
Info:Square Root: Total cpu/real time for sqrt: 1719.49/521.429
Info:Generate Free Relations: Total cpu/real time for freerel: 500.91/126.901
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 233.13/282.325
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 281.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 18.53/4.94148
Info:Square Root: Total cpu/real time for sqrt: 1719.49/521.429
Info:Linear Algebra: Total cpu/real time for bwc: 259227/66412.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 165064.1, WCT time 42195.99, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (114688 iterations)
Info:Linear Algebra: Lingen CPU time 819.95, WCT time 208.21
Info:Linear Algebra: Mksol: CPU time 91895.85,  WCT time 23441.1, iteration CPU time 0.39, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (57344 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 951.87/1064.97
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 51509544
Info:Lattice Sieving: Average J: 3812.39 for 1532508 special-q, max bucket fill -bkmult 1.0,1s:1.145230
Info:Lattice Sieving: Total time: 1.44944e+06s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5808.48
Info:Polynomial Selection (root optimized): Rootsieve time: 5806.03
Info:Filtering - Merging: Merged matrix has 3656656 rows and total weight 622658226 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 982.68/275.388
Info:Filtering - Merging: Total cpu/real time for replay: 155.24/139.06
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 77937/43.650/52.790/57.330/0.888
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63382/43.240/47.421/53.540/1.290
Info:Polynomial Selection (size optimized): Total time: 40901.2
Info:Quadratic Characters: Total cpu/real time for characters: 140.75/61.9316
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1132.89/1137.15
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 940.8s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.06208e+06/209525
1452069496843277121853189854451224308700765326548605515236036335510943481963 184284019618446971085706632545014329860868586400662955895447004212729701

cado-nfs-3.0.0

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

2337376776887377120873387104106399749910033080305709620947905175987384277751369910193531686545617118472876000980447407662122997283583775627665962262274348084825573763116712268505741751526023361479177<199>

3770090153254477062147688265946177051377973521852841502257454608118736544535239122746704510401<94>
619979014260353864469296823220231112858593617020649719962262287771083355654772445790051886696761037858377<105>

Number: 77772_219
N = 2337376776887377120873387104106399749910033080305709620947905175987384277751369910193531686545617118472876000980447407662122997283583775627665962262274348084825573763116712268505741751526023361479177 (199 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=3770090153254477062147688265946177051377973521852841502257454608118736544535239122746704510401 (pp94)
r2=619979014260353864469296823220231112858593617020649719962262287771083355654772445790051886696761037858377 (pp105)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 22.60 hours.
Factorization parameters were as follows:
n: 2337376776887377120873387104106399749910033080305709620947905175987384277751369910193531686545617118472876000980447407662122997283583775627665962262274348084825573763116712268505741751526023361479177
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7
c0: -520
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 32074498
Relations: 6985248 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 8.20 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 6238206 x 6238431
Matrix solve time: 13.94 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 22.60 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_Factory, Msieve

681028777105555585693879927481594674100170120821991600030514766538624331150026062964761402978968224951829539117340468278106352172132106565130018845143548467280863339167717264900707<180>

12067105098822151630773539946999483247708201501<47>

56436798347934300878207890858197612288361784388240627542750225415708679595433329738132775897119314470706963769378932383172910382190207<134>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2988551889
Step 1 took 4531ms
********** Factor found in step 2: 12067105098822151630773539946999483247708201501
Found prime factor of 47 digits: 12067105098822151630773539946999483247708201501
Composite cofactor 56436798347934300878207890858197612288361784388240627542750225415708679595433329738132775897119314470706963769378932383172910382190207 has 134 digits

GMP-ECM

56436798347934300878207890858197612288361784388240627542750225415708679595433329738132775897119314470706963769378932383172910382190207<134>

98959409924644932801685860586946574216967085789107005311<56>
570302494638048910002841120920192031415867808527719804677462196087718231316737<78>

56436798347934300878207890858197612288361784388240627542750225415708679595433329738132775897119314470706963769378932383172910382190207=98959409924644932801685860586946574216967085789107005311*570302494638048910002841120920192031415867808527719804677462196087718231316737

cado polynomial
n: 56436798347934300878207890858197612288361784388240627542750225415708679595433329738132775897119314470706963769378932383172910382190207
skew: 81893.051
c0: 440483785540557459506722488096
c1: 28182664631185960043930172
c2: -520221221792895627080
c3: -5743065567111076
c4: 31569647565
c5: 226440
Y0: -47784003897803916018632611
Y1: 155231352517250051
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.281e-07
# f(x) = 226440*x^5+31569647565*x^4-5743065567111076*x^3-520221221792895627080*x^2+28182664631185960043930172*x+440483785540557459506722488096
# g(x) = 155231352517250051*x-47784003897803916018632611

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

cado log (extracts)
Info:Square Root: Factors: 98959409924644932801685860586946574216967085789107005311 570302494638048910002841120920192031415867808527719804677462196087718231316737
Info:Square Root: Total cpu/real time for sqrt: 474.9/140.911
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 187.78/158.256
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: 474.9/140.911
Info:Filtering - Singleton removal: Total cpu/real time for purge: 82.04/92.2308
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17014887
Info:Lattice Sieving: Average J: 3810.49 for 642883 special-q, max bucket fill -bkmult 1.0,1s:1.284990
Info:Lattice Sieving: Total time: 212087s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.17/4.02724
Info:Linear Algebra: Total cpu/real time for bwc: 28932.8/7418.51
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 18442.69, WCT time 4713.86, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (42496 iterations)
Info:Linear Algebra: Lingen CPU time 259.39, WCT time 65.85
Info:Linear Algebra: Mksol: CPU time 9998.78,  WCT time 2552.8, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (21248 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 247.07/62.6431
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 74.3/84.6263
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 84.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6423.54
Info:Polynomial Selection (root optimized): Rootsieve time: 6421.08
Info:Filtering - Merging: Merged matrix has 1352525 rows and total weight 230706132 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 353.32/97.8304
Info:Filtering - Merging: Total cpu/real time for replay: 49.92/42.0447
Info:Quadratic Characters: Total cpu/real time for characters: 45.92/18.9212
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54221/39.630/48.058/52.610/0.982
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44416/38.640/42.888/48.720/1.044
Info:Polynomial Selection (size optimized): Total time: 11198.5
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 445192/119468
Info:root: Cleaning up computation data in /tmp/cado.roxvkill
98959409924644932801685860586946574216967085789107005311 570302494638048910002841120920192031415867808527719804677462196087718231316737

cado-nfs-3.0.0

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

1164739972491878881693398297512419422593996416199638996473218440175692592199106228676160762034861544930711850564626911958207391713035032485329202653066266593856442882008493946528358817051469<190>

918867047193315569745989396240928659706859870111<48>
1267582699858030070230806462160681850251195615910721150973534343694320831705504552256056617016731479567602840936929880653661993811960630885779<142>

Number: 77772_221
N = 1164739972491878881693398297512419422593996416199638996473218440175692592199106228676160762034861544930711850564626911958207391713035032485329202653066266593856442882008493946528358817051469 (190 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=918867047193315569745989396240928659706859870111 (pp48)
r2=1267582699858030070230806462160681850251195615910721150973534343694320831705504552256056617016731479567602840936929880653661993811960630885779 (pp142)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 53.12 hours.
Factorization parameters were as follows:
n: 1164739972491878881693398297512419422593996416199638996473218440175692592199106228676160762034861544930711850564626911958207391713035032485329202653066266593856442882008493946528358817051469
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 35
c0: -26
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30875109
Relations: 7979236 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 14.47 hours.
Total relation processing time: 0.36 hours.
Pruned matrix : 6846193 x 6846418
Matrix solve time: 37.90 hours.
time per square root: 0.38 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 53.12 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

5336961691303949571182887064657380685250158327557761177377470884595186511881723203824352007060207841278106350604120302803566359930703818221196552404629523275704067302939821463<175>

322190968508048320903160631417402305964601<42>

16564591229907899871299179640382820275717700587053931654052432880452796790493258122714374565840506624410965307323125525149640946691663<134>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:193828032
Step 1 took 3344ms
********** Factor found in step 2: 322190968508048320903160631417402305964601
Found prime factor of 42 digits: 322190968508048320903160631417402305964601
Composite cofactor 16564591229907899871299179640382820275717700587053931654052432880452796790493258122714374565840506624410965307323125525149640946691663 has 134 digits
 

GMP-ECM

16564591229907899871299179640382820275717700587053931654052432880452796790493258122714374565840506624410965307323125525149640946691663<134>

1725342594507479461016380511382442648718395519<46>
9600754819732755053070221524016374192288475649251408115517800558805785145447326660899377<88>

16564591229907899871299179640382820275717700587053931654052432880452796790493258122714374565840506624410965307323125525149640946691663=1725342594507479461016380511382442648718395519*9600754819732755053070221524016374192288475649251408115517800558805785145447326660899377

cado polynomial
n: 16564591229907899871299179640382820275717700587053931654052432880452796790493258122714374565840506624410965307323125525149640946691663
skew: 45905.695
c0: 303911230144428292727599447644
c1: -11555637940993309625735265
c2: -2152291297384727993988
c3: 13376300558155449
c4: 445368986320
c5: 1464000
Y0: -43935443546144032515945965
Y1: 15134980097099383477
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.331e-07
# f(x) = 1464000*x^5+445368986320*x^4+13376300558155449*x^3-2152291297384727993988*x^2-11555637940993309625735265*x+303911230144428292727599447644
# g(x) = 15134980097099383477*x-43935443546144032515945965

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

cado log (extracts)
Info:Square Root: Factors: 1725342594507479461016380511382442648718395519 9600754819732755053070221524016374192288475649251408115517800558805785145447326660899377
Info:Square Root: Total cpu/real time for sqrt: 888.54/235.422
Info:Filtering - Singleton removal: Total cpu/real time for purge: 92.67/100.877
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17028166
Info:Lattice Sieving: Average J: 3796.35 for 582523 special-q, max bucket fill -bkmult 1.0,1s:1.236820
Info:Lattice Sieving: Total time: 194665s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.18/4.03616
Info:Linear Algebra: Total cpu/real time for bwc: 24489.7/6297.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 15565.39, WCT time 3991.31, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39424 iterations)
Info:Linear Algebra: Lingen CPU time 239.28, WCT time 60.7
Info:Linear Algebra: Mksol: CPU time 8469.55,  WCT time 2166.38, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (19712 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 247.81/62.8614
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 75.85/85.775
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 85.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6097.88
Info:Polynomial Selection (root optimized): Rootsieve time: 6095.42
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 195.15/166.269
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 154.1s
Info:Filtering - Merging: Merged matrix has 1257750 rows and total weight 213845153 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 335.34/93.2197
Info:Filtering - Merging: Total cpu/real time for replay: 45.88/39.3887
Info:Quadratic Characters: Total cpu/real time for characters: 41.87/16.8609
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54011/39.170/47.870/53.520/0.968
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44140/38.700/42.672/48.710/1.007
Info:Polynomial Selection (size optimized): Total time: 11152.8
Info:Square Root: Total cpu/real time for sqrt: 888.54/235.422
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 408112/109633
Info:root: Cleaning up computation data in /tmp/cado.fgb8j5n7
1725342594507479461016380511382442648718395519 9600754819732755053070221524016374192288475649251408115517800558805785145447326660899377

cado-nfs-3.0.0

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

1179628741204904539644708238276473173461359849268277748941722528676614978644854130695195864212326267058647229675898079492179032814873786726316802014992659046202723522477651241394523963334874534508668284429837584217<214>

127995831109954321359776803941610408293316533843929914368667913667879767269641861740175879290949612992902163065913545047653689037697573542070982640744599875999101630174652944606629790555740564386865629530343872941595729<219>

774391856933321106398946887221673365132763452827376175154316344858661358682799590255511661790995023889350669645809020708711757408844168562543725554268466563707805517114095633044386084613301<189>

2597452900229412832351331748735764753<37>
298135091059755151185072982020269693763740270957116095478397413944775892355151619466556640601057247401636061492216778444153596621841990040748930872412517<153>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1118850329
Step 1 took 7464ms
Step 2 took 3607ms
********** Factor found in step 2: 2597452900229412832351331748735764753
Found prime factor of 37 digits: 2597452900229412832351331748735764753
Prime cofactor 298135091059755151185072982020269693763740270957116095478397413944775892355151619466556640601057247401636061492216778444153596621841990040748930872412517 has 153 digits

5214216029800407884252582989785052395611100194021662588633015436944153274373214824080764946890266675583615826662631000901229345091527514414872198823717460017048678653538397293<175>

10028144409368234706748043006703284446577116370402304371208643765237727857643556353972811888521934263585196616164838684434026722049433700779639738651451556461479472583507188686989305972504507330597421205493<206>

15101067932015122359751613019802021511888519974229261708325088443044116903370963359823605007310849219279148662462243774776671105731917602126061044096568549758356807764510993387<176>

8341034654152506378010435162197527348656910728837330440093268850981570365605701551198363001157456058859921961172089839856992585420740725674207422114092838370821442110448203<172>

2364258192312784838498729303804816541997964567071998018205183097356322240729970742930834705725819027056115815367293994333203661723611122452363910926078040757725844115612950932456900864470044917<193>

929072107992713857532238354278609254059082568417027710389154915336295746103945273113244722957301195811580086759999361970976802870344428482674499158462748991323210795838898577<174>

15599035163986804175259680293417923775430598256826657269342898415745428670933038834158540335253384578482475670724172495275846455482706554799<140>

38376697832700173814918058315146858006809002535160183749<56>
406471532073692761174305272724476418486095535200877240948911824455980003613851316451<84>

15599035163986804175259680293417923775430598256826657269342898415745428670933038834158540335253384578482475670724172495275846455482706554799=38376697832700173814918058315146858006809002535160183749*406471532073692761174305272724476418486095535200877240948911824455980003613851316451

cado polynomial
n: 15599035163986804175259680293417923775430598256826657269342898415745428670933038834158540335253384578482475670724172495275846455482706554799
skew: 161651.029
c0: 10664395573498053465936475838766
c1: -1164345957650632101527438081
c2: 28269864322051644807528
c3: 108169750420376171
c4: -350687361024
c5: -1227600
Y0: -686158944530713432086132875
Y1: 6099655664249070157
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.965e-07
# f(x) = -1227600*x^5-350687361024*x^4+108169750420376171*x^3+28269864322051644807528*x^2-1164345957650632101527438081*x+10664395573498053465936475838766
# g(x) = 6099655664249070157*x-686158944530713432086132875

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

cado log (extracts)
Info:Square Root: Factors: 406471532073692761174305272724476418486095535200877240948911824455980003613851316451 38376697832700173814918058315146858006809002535160183749
Info:Square Root: Total cpu/real time for sqrt: 722.34/213.518
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 147.26/170.963
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 170.8s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 8817.31
Info:Polynomial Selection (root optimized): Rootsieve time: 8814.85
Info:Generate Factor Base: Total cpu/real time for makefb: 11.8/3.13758
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 396.77/334.261
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 312.1s
Info:Filtering - Merging: Merged matrix has 1681486 rows and total weight 286471835 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 411.65/116.613
Info:Filtering - Merging: Total cpu/real time for replay: 66.89/56.3022
Info:Filtering - Singleton removal: Total cpu/real time for purge: 160.72/174.444
Info:Linear Algebra: Total cpu/real time for bwc: 45754/11722.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 29295.94, WCT time 7483.6, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52736 iterations)
Info:Linear Algebra: Lingen CPU time 331.06, WCT time 84.04
Info:Linear Algebra: Mksol: CPU time 15822.12,  WCT time 4039.68, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26368 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 493.44/124.503
Info:Quadratic Characters: Total cpu/real time for characters: 64.97/27.2588
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66571/40.980/50.080/55.460/0.946
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54521/40.100/44.744/50.770/1.076
Info:Polynomial Selection (size optimized): Total time: 22837.5
Info:Square Root: Total cpu/real time for sqrt: 722.34/213.518
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32843313
Info:Lattice Sieving: Average J: 3798.72 for 722987 special-q, max bucket fill -bkmult 1.0,1s:1.113740
Info:Lattice Sieving: Total time: 262575s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 572424/153409
Info:root: Cleaning up computation data in /tmp/cado._qr8dw56
406471532073692761174305272724476418486095535200877240948911824455980003613851316451 38376697832700173814918058315146858006809002535160183749

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-89-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

58438054014741924119044657755957287967881755519990483271463465532690081528200020218426093759932715960689891074069076397555382583305905194095051875377990961377630904004715196487105410196383277359367543377054325253050499967877<224>

6821504189683107314325507813800592926927<40>
8566740177793053795875638868266046640068586730377185574706913105196803612438361119143912504563062158166946055101882390124750802480521141865941888092713199755701425561104219700647039851<184>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:602363163
Step 1 took 12168ms
Step 2 took 5532ms
********** Factor found in step 2: 6821504189683107314325507813800592926927
Found prime factor of 40 digits: 6821504189683107314325507813800592926927
Prime cofactor 8566740177793053795875638868266046640068586730377185574706913105196803612438361119143912504563062158166946055101882390124750802480521141865941888092713199755701425561104219700647039851 has 184 digits

528698696109263575215840626397001626249779481554560471381460240569763256060035340149070202273302162284185223188681274149243998540646167902453674214321110544211889309242162554487817982411001422459111022846867792740751225709<222>

1128451507156883716331940006837143330020913810509<49>
468516983455772805030840316295836104092845492829874515623419266440378492143552021807520326028836326324054962688734703507854990744700431494646193370195131546075724358668112801<174>

GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Resuming ECM residue saved by erik_@ALTISSA with GMP-ECM 7.0.1-dev on Wed Oct 11 18:04:51 2023 
Input number is 528698696109263575215840626397001626249779481554560471381460240569763256060035340149070202273302162284185223188681274149243998540646167902453674214321110544211889309242162554487817982411001422459111022846867792740751225709 (222 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:3889438760
Step 1 took 0ms
Step 2 took 14922ms
********** Factor found in step 2: 1128451507156883716331940006837143330020913810509
Found prime factor of 49 digits: 1128451507156883716331940006837143330020913810509
Prime cofactor 468516983455772805030840316295836104092845492829874515623419266440378492143552021807520326028836326324054962688734703507854990744700431494646193370195131546075724358668112801 has 174 digits

GMP-ECM

832756998478579596969028021118749474806855764181548791953054621776340816752548943934351831475791980667380437853156064661122714080501932759198623870153799975441622136766584701482902407335290730343<195>

47732476884878168807461963376969838284402951973795908354468083780389104727892823849234465202817107306058556386091129267578455996914799497780294260571299880230740020840009589761897500795216880284851310496498172485070929813<221>

40288007536210066838498278177477436903629172184595255575251910040216603482026824711001722681104090284111262016943466216912195685647027122974357263003113080327166943976419071258426002521290744703436781955163098141712326375560507715989<233>

2300854048434239195635949710142823527651<40>
17510023099303745359640352388586563427782808539908968197821539675618026115970278910114767103298951405094652942444082594866710948592856135888531497754237935693004864928665354997113961768381497639<194>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1985392855
Step 1 took 13594ms
Step 2 took 5187ms
********** Factor found in step 2: 2300854048434239195635949710142823527651
Found prime factor of 40 digits: 2300854048434239195635949710142823527651
Prime cofactor 17510023099303745359640352388586563427782808539908968197821539675618026115970278910114767103298951405094652942444082594866710948592856135888531497754237935693004864928665354997113961768381497639 has 194 digits

GMP-ECM

242380618224088562845638324141159201525878484496959520301910889384250570207439954373534713077877885711867017771826453866764754241170843835623054303904023296013107824237698555717672146595528040474932875768589387251880331494225955049529<234>

1200474992712905226027161706482997655660961<43>

201903929440747730621538807002645581961411138253516064859281729119100889463598663597266355877986769765404804622367489971283430208111053792987371302243187598515952880389426130752817232600584089<192>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2322150285
Step 1 took 8641ms
Step 2 took 4172ms
********** Factor found in step 2: 1200474992712905226027161706482997655660961
Found prime factor of 43 digits: 1200474992712905226027161706482997655660961
Composite cofactor 201903929440747730621538807002645581961411138253516064859281729119100889463598663597266355877986769765404804622367489971283430208111053792987371302243187598515952880389426130752817232600584089 has 192 digits

GMP-ECM

201903929440747730621538807002645581961411138253516064859281729119100889463598663597266355877986769765404804622367489971283430208111053792987371302243187598515952880389426130752817232600584089<192>

28354492858274427019087388294106622091386621<44>

7120703249743646578992034654430872500916403179216566973543020316062987784202339251596062543158464416103941629773512848458296320460904393467810114509<148>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4013630554
Step 1 took 8360ms
Step 2 took 4328ms
********** Factor found in step 2: 28354492858274427019087388294106622091386621
Found prime factor of 44 digits: 28354492858274427019087388294106622091386621
Composite cofactor 7120703249743646578992034654430872500916403179216566973543020316062987784202339251596062543158464416103941629773512848458296320460904393467810114509 has 148 digits

GMP-ECM

7120703249743646578992034654430872500916403179216566973543020316062987784202339251596062543158464416103941629773512848458296320460904393467810114509<148>

201945961955968260668056375190996726842393300436656781843906969351969<69>
35260438885607551948639780845468073499539777708822224278831619730439550123727661<80>

35260438885607551948639780845468073499539777708822224278831619730439550123727661 201945961955968260668056375190996726842393300436656781843906969351969

CADO-NFS

4 x Opteron 6378 (8C/8T), Debian sid amd64

114379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379<246>

620412859846529903462758948778834351950956255358928169321651049338806037862214748124940626601907199362711185915481324878309577195427235319759666923447637883426008139142308546882339<180>

93393449797987195145346208489402739427364460905396099782207558176198258543387334412526338140701529531196325506214519622390977810536381574599053119956332710748718486506679250906212909579186466662889239375671303962788759<218>

345212495333598413018608268987706951490927953473888267755777262030722076843370504945831976777280057873716909728193220477444342844377161311363036596186691924428140441<165>

2985670049884529952261640975272667386260644971043600512060601301057834780208872960955647606917329829480331534011912280903423577137797888824965246961937325297971377875207211489216455768253781104369470008544351<208>

22864446926713123999239860870160852885950279<44>
130581337018753534969312879118617296288645232341338425002112389651875209054596135269707969785783253956924885543194284872823857418880308808407951826723107466864956969<165>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2460013223
Step 1 took 9937ms
Step 2 took 4579ms
********** Factor found in step 2: 22864446926713123999239860870160852885950279
Found prime factor of 44 digits: 22864446926713123999239860870160852885950279
Prime cofactor 130581337018753534969312879118617296288645232341338425002112389651875209054596135269707969785783253956924885543194284872823857418880308808407951826723107466864956969 has 165 digits
 

GMP-ECM

10507508248908177441596935311648807218555275019386711182957957399495528124228224027731120516466899126865049987325583535348386742753244170158279756475043236744931760882110478571174715303262779264649781<200>

460538081408173438700188157987103184333<39>

22815720725590564695581563582995922088789957022209270358606334593780598187679902558007668922745823718448930699444686168282041473768165294192589833130071745371657<161>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1638789
Step 1 took 10794ms
Step 2 took 4844ms
********** Factor found in step 2: 460538081408173438700188157987103184333
Found prime factor of 39 digits: 460538081408173438700188157987103184333
Composite cofactor 22815720725590564695581563582995922088789957022209270358606334593780598187679902558007668922745823718448930699444686168282041473768165294192589833130071745371657 has 161 digits

2358509534109508559488958481737516844786044210491316042640175930654421112617949779771387491077905199153846144651907739039042840313049483702313141631349<151>

37460045534521550907907544371094167636015801181543<50>
62960669173132974796646290638017111766824493217321157769760196380023081291659824542922720303965775043<101>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 2358509534109508559488958481737516844786044210491316042640175930654421112617949779771387491077905199153846144651907739039042840313049483702313141631349 (151 digits)
Using B1=63780000, B2=388133141770, polynomial Dickson(30), sigma=1:373676928
Step 1 took 109882ms
Step 2 took 43026ms
********** Factor found in step 2: 37460045534521550907907544371094167636015801181543
Found prime factor of 50 digits: 37460045534521550907907544371094167636015801181543
Prime cofactor 62960669173132974796646290638017111766824493217321157769760196380023081291659824542922720303965775043 has 101 digits

9346526628652619471773697736341364685733481615412678660539471904822992229790580938414346934668402245450050165177213549468367917541255392431760081518393977370309405654719807905606737436475391552504389533976051873<211>

10645810232826544344853673797483943958048417181215178940218979847468688677169184758169492286153791934423521915746111903505458122745192454551581673620506072045479723003254267683846672091195293969878771066314837616840636033953636058349063<236>

18065521179524873612050339913806796254477<41>

589288851787586846053146224751164047242435389624815385360337939865566538785890621538754771889503001169285450415636055131581324411029838236998841372106149958337208924845139163056138776058971282019<195>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3756615990
Step 1 took 25884ms
Step 2 took 8500ms
********** Factor found in step 2: 18065521179524873612050339913806796254477
Found probable prime factor of 41 digits: 18065521179524873612050339913806796254477
Composite cofactor 589288851787586846053146224751164047242435389624815385360337939865566538785890621538754771889503001169285450415636055131581324411029838236998841372106149958337208924845139163056138776058971282019 has 195 digits

12587988031251784999181381558919642847014664731997926049128041470195777158294833529407791132920958470153703786412779349042812950705943108452861800421962738040553049355473325494814765680900388831657061819601309027896487000622493271671843627800375338269<251>

1328989436432536699094008915620562124560484207808382505942481337191199811663211294131942071249022243486053205142809407726364872151216215189969547156342317301923617281419208833602928333295362206578117999073504507172745844060176641681665261734976723699299053<256>

48704364738803944156241975575702802261283498844418236408461242722849351226728800453276443961882872601112695807182707029162755028373879553534066321219462840346570445457609614295475882378667234691689609213547627<209>

222926148886429900414454669885687732491458428192683598335435756816661460844037611174670806344662974594722796854310219533454226368931473568802657864977266906375647808019443122077529981745799278802675621607744838445170333993341653843664621349<240>

686611685772504786803414191996863425091197946833103899558682191038422515104930332209353847249552481052736239808918444008859742527849429686974908816458604971977556517784613226948520616719504437985410145117252184636546060051879352869<231>

194444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<267>

3033750582889451546994566592404838334089870117619045772298386671566787542436755409832969471442601326376245657490932527330500357750876915010611002926958575156691054975467512636095149799524742792415061796182725705153990307925845385453165573659292268915715852959<259>

3472291079680793511670015503277616210576183579251673957306555245009761623573053067552554139314140062537852008425352397823612441079392021862195517717851594173708580206954291304708600504478190342564343<199>

108826809003700392047764271713992854766543045978568708924520317858219814883224158295602200656222048231616062393235228789639092178707884241667328634692703019532497996536947487<174>

13729225516094314345173798873045491201924353152873886235797553532613014866133195251023572894327018455641987867165807755421361334753172217384640170353524580123410007946348613599038893172617672863043102178536737897885245895089447885261022980947153419<248>

781530482248434188735717982368131770138776909725137075876909540850942179845631643410409515699996533035241993907420182071468987557173704622320719693360795947935494892351884472672130009223264704693593773812558251721245506114418944242769311085685072080217771206463<261>

217431857353631858876779878663821332598452509494679276479911075175440805548526903297137607533295248126425330742609229990448168750585300568890833037356693441896474603556705829319867987424391616849561086784049543538677<216>