98532452708591809832170141179806051137379856687866523820245796951429186414986999703<83>

250879963119034290441438818387352216497<39>
392747397933255442948481560767108935013894599<45>

P45 = 392747397933255442948481560767108935013894599
P39 = 250879963119034290441438818387352216497

YAFU/SIQS

323926368605850458125729220283441230184951352155278095289803451244711475851738616607<84>

8226451267028300918050342211700737<34>
39376197353061652263393408193233339838259250420511<50>

P50 = 39376197353061652263393408193233339838259250420511
P34 = 8226451267028300918050342211700737

YAFU/SIQS

495218956109964626526177469798908382404438841814829820451722081657254266325901483488437<87>

12098741484713487709134792395221933<35>
40931443715502446594636564436895110771982869900430889<53>

P53 = 40931443715502446594636564436895110771982869900430889
P35 = 12098741484713487709134792395221933

YAFU/SIQS

66944048540559008879286349223366642626468864330594941946363788600614210251195830913406286690664161249146094422223569501<119>

19232728604579740603494292634441600429<38>
3480735880847304289196410623643821813426018383758691039761950524515545032290893169<82>

N=66944048540559008879286349223366642626468864330594941946363788600614210251195830913406286690664161249146094422223569501
  ( 119 digits)
SNFS difficulty: 130 digits.
Divisors found:
p38 factor: 19232728604579740603494292634441600429
p82 factor: 3480735880847304289196410623643821813426018383758691039761950524515545032290893169
Version: Msieve v. 1.54 (SVN 1025)
Total time: 1.14 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 66944048540559008879286349223366642626468864330594941946363788600614210251195830913406286690664161249146094422223569501
m: 100000000000000000000000000000000
deg: 4
c4: 155
c0: -2
skew: 0.34
# Murphy_E = 1.563e-08
type: snfs
lss: 1
rlim: 1030000
alim: 1030000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1030000/1030000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [515000, 915001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 120784 x 121009
Total sieving time: 1.11 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,130.000,4,0,0,0,0,0,0,0,0,1030000,1030000,26,26,47,47,2.3,2.3,100000
total time: 1.14 hours.
 --------- CPU info (if available) ----------

6047623161549762756072026960302662065007501436611436449125914197102827203130410873954491893316235240051626456479810750417<121>

996302504931109783533133387340141787813199<42>
6070067205108483592340639967655361078297993318524404953687129796577219617065183<79>

N=6047623161549762756072026960302662065007501436611436449125914197102827203130410873954491893316235240051626456479810750417
  ( 121 digits)
SNFS difficulty: 133 digits.
Divisors found:
p42 factor: 996302504931109783533133387340141787813199
p79 factor: 6070067205108483592340639967655361078297993318524404953687129796577219617065183
Version: Msieve v. 1.54 (SVN 1025)
Total time: 2.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 6047623161549762756072026960302662065007501436611436449125914197102827203130410873954491893316235240051626456479810750417
m: 1000000000000000000000000000000000
deg: 4
c4: 31
c0: -4
skew: 0.60
# Murphy_E = 9.063e-09
type: snfs
lss: 1
rlim: 1170000
alim: 1170000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1170000/1170000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [585000, 1285001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 158932 x 159157
Total sieving time: 1.96 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,133.000,4,0,0,0,0,0,0,0,0,1170000,1170000,26,26,47,47,2.3,2.3,100000
total time: 2.01 hours.
 --------- CPU info (if available) ----------

6332711890426619857281512225637114517106006396540330484765205257635424105833612623381972679400521428289<103>

3645246036800630619673870356211502421722089<43>
1737252253070064790923264529709938059970938771426755576315801<61>

N=6332711890426619857281512225637114517106006396540330484765205257635424105833612623381972679400521428289
  ( 103 digits)
SNFS difficulty: 134 digits.
Divisors found:
p43 factor: 3645246036800630619673870356211502421722089
p61 factor: 1737252253070064790923264529709938059970938771426755576315801
Version: Msieve v. 1.54 (SVN 1025)
Total time: 1.74 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 6332711890426619857281512225637114517106006396540330484765205257635424105833612623381972679400521428289
m: 1000000000000000000000000000000000
deg: 4
c4: 155
c0: -2
skew: 0.34
# Murphy_E = 9.954e-09
type: snfs
lss: 1
rlim: 1210000
alim: 1210000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1210000/1210000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [605000, 1205001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 153293 x 153518
Total sieving time: 1.69 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1210000,1210000,26,26,47,47,2.3,2.3,100000
total time: 1.74 hours.
 --------- CPU info (if available) ----------

14239831449624109144852157674420685773554589453201887203130265779965407551775387779577551956541860832204154137896352862064643384271<131>

59577392001622571252055094143761860503433960313327<50>
239014011375930854461625360051470732905738234193449889776593169078450891983498273<81>

N=14239831449624109144852157674420685773554589453201887203130265779965407551775387779577551956541860832204154137896352862064643384271
  ( 131 digits)
SNFS difficulty: 146 digits.
Divisors found:
p50 factor: 59577392001622571252055094143761860503433960313327
p81 factor: 239014011375930854461625360051470732905738234193449889776593169078450891983498273
Version: Msieve v. 1.54 (SVN 1025)
Total time: 7.83 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 14239831449624109144852157674420685773554589453201887203130265779965407551775387779577551956541860832204154137896352862064643384271
m: 1000000000000000000000000000000000000
deg: 4
c4: 155
c0: -2
skew: 0.34
# Murphy_E = 2.5e-09
type: snfs
lss: 1
rlim: 1910000
alim: 1910000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1910000/1910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [955000, 1955001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 201120 x 201345
Total sieving time: 7.77 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,146.000,4,0,0,0,0,0,0,0,0,1910000,1910000,26,26,49,49,2.3,2.3,100000
total time: 7.83 hours.
 --------- CPU info (if available) ----------

38597539718113451865132725733353254644155585437521788933711838238956123312913989740524926540166342945365805069973604263160515961950296329498481<143>

5395841814214492744822591432376067197101335596289989<52>
7153200751073601099042138531409345232652552415786497578763591537234577332183410659793719229<91>

N=38597539718113451865132725733353254644155585437521788933711838238956123312913989740524926540166342945365805069973604263160515961950296329498481
  ( 143 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=5395841814214492744822591432376067197101335596289989 (pp52)
 r2=7153200751073601099042138531409345232652552415786497578763591537234577332183410659793719229 (pp91)
Version: Msieve v. 1.52 (SVN exported)
Total time: 9.08 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 38597539718113451865132725733353254644155585437521788933711838238956123312913989740524926540166342945365805069973604263160515961950296329498481
m: 1000000000000000000000000000000000000
deg: 4
c4: 775
c0: -1
skew: 0.19
# Murphy_E = 2.052e-09
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [980000, 1880001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 313744 x 313969
Total sieving time: 8.98 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,146.000,4,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 9.08 hours.
 --------- CPU info (if available) ----------

5149664644623679328459690817095587402932455463744035291053187822786105796457791619826472140918285929662179458354856363129370562768969<133>

1352961615940909720953685533386580355977474823<46>
3806216365600566835011879002724527561052392848227153836747343517667974259763603103571503<88>

N=5149664644623679328459690817095587402932455463744035291053187822786105796457791619826472140918285929662179458354856363129370562768969
  ( 133 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=1352961615940909720953685533386580355977474823 (pp46)
 r2=3806216365600566835011879002724527561052392848227153836747343517667974259763603103571503 (pp88)
Version: Msieve v. 1.52 (SVN exported)
Total time: 12.11 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5149664644623679328459690817095587402932455463744035291053187822786105796457791619826472140918285929662179458354856363129370562768969
m: 10000000000000000000000000000000000000
deg: 4
c4: 31
c0: -4
skew: 0.60
# Murphy_E = 1.427e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 388761 x 389008
Total sieving time: 12.01 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,149.000,4,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 12.11 hours.
 --------- CPU info (if available) ----------

4018872127701470997478380074430486085027034407711370259446099569964659147926082266332892365623168722822007441<109>

2062961910975018706783073081070135764914012663682983<52>
1948107769862813162184212811721144525107038198187333784327<58>

N=4018872127701470997478380074430486085027034407711370259446099569964659147926082266332892365623168722822007441
  ( 109 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=2062961910975018706783073081070135764914012663682983 (pp52)
 r2=1948107769862813162184212811721144525107038198187333784327 (pp58)
Version: Msieve v. 1.52 (SVN exported)
Total time: 8.46 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4018872127701470997478380074430486085027034407711370259446099569964659147926082266332892365623168722822007441
m: 1000000000000000000000000000000
deg: 5
c5: 155
c0: -2
skew: 0.42
# Murphy_E = 1.27e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 1900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 353257 x 353482
Total sieving time: 8.33 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 8.46 hours.
 --------- CPU info (if available) ----------

5499978993178953746500393355182269790942687971884093420577705129963526141599490444927221190322585068500766692928129803420898051<127>

1580652500080485039181514560851785998931<40>
3479562391416773156081232189255078423347868096144555188953412487524698437674104496805521<88>

N=5499978993178953746500393355182269790942687971884093420577705129963526141599490444927221190322585068500766692928129803420898051
  ( 127 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=1580652500080485039181514560851785998931 (pp40)
 r2=3479562391416773156081232189255078423347868096144555188953412487524698437674104496805521 (pp88)
Version: Msieve v. 1.52 (SVN exported)
Total time: 9.36 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5499978993178953746500393355182269790942687971884093420577705129963526141599490444927221190322585068500766692928129803420898051
m: 5000000000000000000000000000000
deg: 5
c5: 124
c0: -5
skew: 0.53
# Murphy_E = 9.775e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 461817 x 462043
Total sieving time: 9.19 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 9.36 hours.
 --------- CPU info (if available) ----------

4435874694290155972754493183296959588324749060573583643616705983340663932885468036627122400747278056129830467532861677776672835163<130>

13414379437257071901319942839505237726900194739867<50>
330680574158351749389690037749394473509075200200693157472004478443073153547361089<81>

N=4435874694290155972754493183296959588324749060573583643616705983340663932885468036627122400747278056129830467532861677776672835163
  ( 130 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=13414379437257071901319942839505237726900194739867 (pp50)
 r2=330680574158351749389690037749394473509075200200693157472004478443073153547361089 (pp81)
Version: Msieve v. 1.52 (SVN exported)
Total time: 10.47 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4435874694290155972754493183296959588324749060573583643616705983340663932885468036627122400747278056129830467532861677776672835163
m: 10000000000000000000000000000000
deg: 5
c5: 31
c0: -4
skew: 0.66
# Murphy_E = 8.935e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 494564 x 494791
Total sieving time: 10.28 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 10.47 hours.
 --------- CPU info (if available) ----------

28248510037805509504105498117586723007827866249741986310495018032627743507596642171417696090668284041487577036101665082727146733947546336787346087583<149>

34942514290921140422160923018837919214151<41>
808428088563309669989965195087010701410810589592747503735599441833977678137544366598049940575168225709030633<108>

N=28248510037805509504105498117586723007827866249741986310495018032627743507596642171417696090668284041487577036101665082727146733947546336787346087583
  ( 149 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=34942514290921140422160923018837919214151 (pp41)
 r2=808428088563309669989965195087010701410810589592747503735599441833977678137544366598049940575168225709030633 (pp108)
Version: Msieve v. 1.52 (SVN exported)
Total time: 11.98 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 28248510037805509504105498117586723007827866249741986310495018032627743507596642171417696090668284041487577036101665082727146733947546336787346087583
m: 10000000000000000000000000000000
deg: 5
c5: 155
c0: -2
skew: 0.42
# Murphy_E = 8.173e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 458973 x 459198
Total sieving time: 11.82 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 11.98 hours.
 --------- CPU info (if available) ----------

249415624995682041612160041261530598337512790032775999725960412809616992233012222435948511975767930094548687897180069069<120>

690996186415242412310371621086512622260265015586386271<54>
360950798136243202750054578134786579617551571479377523665532339539<66>

N=249415624995682041612160041261530598337512790032775999725960412809616992233012222435948511975767930094548687897180069069
  ( 120 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=690996186415242412310371621086512622260265015586386271 (pp54)
 r2=360950798136243202750054578134786579617551571479377523665532339539 (pp66)
Version: Msieve v. 1.52 (SVN exported)
Total time: 15.06 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 249415624995682041612160041261530598337512790032775999725960412809616992233012222435948511975767930094548687897180069069
m: 10000000000000000000000000000000
deg: 5
c5: 7750
c0: -1
skew: 0.17
# Murphy_E = 5.865e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 493907 x 494132
Total sieving time: 14.86 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 15.06 hours.
 --------- CPU info (if available) ----------

87370871319743846337880041150168136684267020022997740078961545555818143373276892316293324698163793503888049222191<113>

518399954333670992853878931308124772762026817<45>
168539504275316935331430346596676536883326156885945031755881260026223<69>

87370871319743846337880041150168136684267020022997740078961545555818143373276892316293324698163793503888049222191=518399954333670992853878931308124772762026817*168539504275316935331430346596676536883326156885945031755881260026223

cado polynomial
n: 87370871319743846337880041150168136684267020022997740078961545555818143373276892316293324698163793503888049222191
skew: 19057.191
c0: -18027560528364861807889944
c1: 15285754681884206412868
c2: 75937415692057008
c3: -105500465131066
c4: -316463901
c5: 30420
Y0: -10234459536212915898685
Y1: 2220683148918809
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.277e-06
# f(x) = 30420*x^5-316463901*x^4-105500465131066*x^3+75937415692057008*x^2+15285754681884206412868*x-18027560528364861807889944
# g(x) = 2220683148918809*x-10234459536212915898685

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

cado log (extracts)
Info:Square Root: Factors: 168539504275316935331430346596676536883326156885945031755881260026223 518399954333670992853878931308124772762026817
Info:Square Root: Total cpu/real time for sqrt: 225.69/60.2637
Info:Filtering - Singleton removal: Total cpu/real time for purge: 56.52/65.0454
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6672040
Info:Lattice Sieving: Average J: 1889.3 for 103991 special-q, max bucket fill -bkmult 1.0,1s:1.233610
Info:Lattice Sieving: Total time: 11092.5s
Info:Linear Algebra: Total cpu/real time for bwc: 1919.7/497.42
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1174.95, WCT time 301.71, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12416 iterations)
Info:Linear Algebra: Lingen CPU time 64.32, WCT time 16.41
Info:Linear Algebra: Mksol: CPU time 648.7,  WCT time 166.18, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6144 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.23/1.14131
Info:Generate Free Relations: Total cpu/real time for freerel: 63.64/16.9578
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 353.44
Info:Polynomial Selection (root optimized): Rootsieve time: 352.35
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.35/27.9327
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 27.400000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 89.32/93.1323
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 69.39999999999999s
Info:Filtering - Merging: Merged matrix has 393270 rows and total weight 61127526 (155.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 62.2/18.5855
Info:Filtering - Merging: Total cpu/real time for replay: 13.04/10.648
Info:Quadratic Characters: Total cpu/real time for characters: 14.25/5.57347
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21657/33.090/40.208/44.820/1.084
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16661/32.400/35.602/40.670/0.799
Info:Polynomial Selection (size optimized): Total time: 1813.58
Info:Square Root: Total cpu/real time for sqrt: 225.69/60.2637
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 25689.2/3046.27
Info:root: Cleaning up computation data in /tmp/cado.u2cdr4a2
168539504275316935331430346596676536883326156885945031755881260026223 518399954333670992853878931308124772762026817

cado-nfs-3.0.0

6 x 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)

42503695815903073116487997150038520065774527326009523030033214910916741155216663914727315393837790418646284736220184281981774170006815283568627613<146>

18966861825146559199969648268387480201771<41>
2240945086632677148077193727180322038318469352552042709711052517521365540141783840868427544844923169321303<106>

N=42503695815903073116487997150038520065774527326009523030033214910916741155216663914727315393837790418646284736220184281981774170006815283568627613
  ( 146 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=18966861825146559199969648268387480201771 (pp41)
 r2=2240945086632677148077193727180322038318469352552042709711052517521365540141783840868427544844923169321303 (pp106)
Version: Msieve v. 1.52 (SVN exported)
Total time: 19.82 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 42503695815903073116487997150038520065774527326009523030033214910916741155216663914727315393837790418646284736220184281981774170006815283568627613
m: 100000000000000000000000000000000
deg: 5
c5: 7750
c0: -1
skew: 0.17
# Murphy_E = 3.751e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 781110 x 781355
Total sieving time: 19.42 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 19.82 hours.
 --------- CPU info (if available) ----------

11200571156867250830648809343155150311664925158506147307021385142117182543295627152496860226988607212589731027316386507864246187108792954190386585906935538183831<161>

28771450038536014464135744842721933657319640169209212971235613619611<68>
389294635545493436182647069137251908376659940222649286667660146979312116553328601977708452021<93>

N=11200571156867250830648809343155150311664925158506147307021385142117182543295627152496860226988607212589731027316386507864246187108792954190386585906935538183831
  ( 161 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=28771450038536014464135744842721933657319640169209212971235613619611 (pp68)
 r2=389294635545493436182647069137251908376659940222649286667660146979312116553328601977708452021 (pp93)
Version: Msieve v. 1.52 (SVN exported)
Total time: 21.69 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 11200571156867250830648809343155150311664925158506147307021385142117182543295627152496860226988607212589731027316386507864246187108792954190386585906935538183831
m: 1000000000000000000000000000000000
deg: 5
c5: 31
c0: -4
skew: 0.66
# Murphy_E = 3.647e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 3900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 745045 x 745271
Total sieving time: 21.38 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 21.69 hours.
 --------- CPU info (if available) ----------

531317251095253329434767485983118070431853537380712996990788487530471584582049549832348559780505155401773236671084655443887167502516120689535133<144>

3473136881276223100894637621224022285554665983<46>
12964503626334498569742716991363872437706173663<47>
11799840140541597449810233265228439688006944995886077<53>

531317251095253329434767485983118070431853537380712996990788487530471584582049549832348559780505155401773236671084655443887167502516120689535133=3473136881276223100894637621224022285554665983*12964503626334498569742716991363872437706173663*11799840140541597449810233265228439688006944995886077

cado polynomial
n: 531317251095253329434767485983118070431853537380712996990788487530471584582049549832348559780505155401773236671084655443887167502516120689535133
skew: 0.42
type: snfs
c0: -2
c5: 155
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 155*x^5-2
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4300000
tasks.lim1 = 4300000
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: 11799840140541597449810233265228439688006944995886077 3473136881276223100894637621224022285554665983 12964503626334498569742716991363872437706173663
Info:Square Root: Total cpu/real time for sqrt: 684.17/184.814
Info:Generate Free Relations: Total cpu/real time for freerel: 235.86/61.6082
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 461.14/401.802
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 372.3s
Info:Quadratic Characters: Total cpu/real time for characters: 30.09/15.0566
Info:Square Root: Total cpu/real time for sqrt: 684.17/184.814
Info:Linear Algebra: Total cpu/real time for bwc: 9581.35/2564.81
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5971.01, WCT time 1584.44, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24832 iterations)
Info:Linear Algebra: Lingen CPU time 156.16, WCT time 43.83
Info:Linear Algebra: Mksol: CPU time 3332.1,  WCT time 897.57, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43320916
Info:Lattice Sieving: Average J: 3793.33 for 167978 special-q, max bucket fill -bkmult 1.0,1s:1.143850
Info:Lattice Sieving: Total time: 197304s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 392.29/352.224
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 167.54/200.97
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 200.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.48/3.55289
Info:Filtering - Merging: Total cpu/real time for merge: 169.07/48.2632
Info:Filtering - Merging: Total cpu/real time for replay: 28.01/23.6041
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 385311/103188
Info:root: Cleaning up computation data in /tmp/cado.xm5k6yss
11799840140541597449810233265228439688006944995886077 3473136881276223100894637621224022285554665983 12964503626334498569742716991363872437706173663

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)

484963144733194155682501983373843235959415983687305519069835170280080906611289291131140818209958330410245820462061267771669477637211736887<138>

1360011349245067977354178303815217392028541782509972113592757<61>
356587571862833006915179643487186823918934327736423539485740749176952296828091<78>

484963144733194155682501983373843235959415983687305519069835170280080906611289291131140818209958330410245820462061267771669477637211736887=1360011349245067977354178303815217392028541782509972113592757*356587571862833006915179643487186823918934327736423539485740749176952296828091

cado polynomial
n: 484963144733194155682501983373843235959415983687305519069835170280080906611289291131140818209958330410245820462061267771669477637211736887
skew: 0.71
type: snfs
c0: -4
c6: 31
Y0: 10000000000000000000000000000
Y1: -1
# f(x) = 31*x^6-4
# g(x) = -x+10000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4700000
tasks.lim1 = 4700000
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: 356587571862833006915179643487186823918934327736423539485740749176952296828091 1360011349245067977354178303815217392028541782509972113592757
Info:Square Root: Total cpu/real time for sqrt: 307.07/92.6336
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11629967
Info:Lattice Sieving: Average J: 1894.23 for 546220 special-q, max bucket fill -bkmult 1.0,1s:1.215690
Info:Lattice Sieving: Total time: 62820s
Info:Generate Free Relations: Total cpu/real time for freerel: 90.99/24.5066
Info:Generate Factor Base: Total cpu/real time for makefb: 3.1/1.88283
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.1/50.7568
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 50.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 110.75/92.0228
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 82.9s
Info:Filtering - Singleton removal: After purge, 3059405 relations with 3059245 primes remain with weight 54316838 and excess 160
Info:Filtering - Merging: Total cpu/real time for merge: 162.12/45.5843
Info:Filtering - Merging: Total cpu/real time for replay: 25.4/21.1173
Info:Linear Algebra: Total cpu/real time for bwc: 8089.8/2081.31
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5084.6, WCT time 1300.65, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22528 iterations)
Info:Linear Algebra: Lingen CPU time 126.26, WCT time 32.08
Info:Linear Algebra: Mksol: CPU time 2767.35,  WCT time 707.13, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11264 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 24.32/9.64385
Info:Square Root: Total cpu/real time for sqrt: 307.07/92.6336
Info:Filtering - Singleton removal: Total cpu/real time for purge: 51.7/56.5222
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 124194/34083.5
Info:root: Cleaning up computation data in /tmp/cado.ugpqu3ht
356587571862833006915179643487186823918934327736423539485740749176952296828091 1360011349245067977354178303815217392028541782509972113592757

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)

1626929536678061071543029119147246705982092719183529292543550908220241732439099742325027739689997361489<103>

178305806493277011601125076038579900439486747747723<51>
9124377768030813721281996230696075386242264600397843<52>

N=1626929536678061071543029119147246705982092719183529292543550908220241732439099742325027739689997361489
  ( 103 digits)
Divisors found:
 r1=178305806493277011601125076038579900439486747747723 (pp51)
 r2=9124377768030813721281996230696075386242264600397843 (pp52)
Version: Msieve v. 1.52 (SVN exported)
Total time: 3.84 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1626929536678061071543029119147246705982092719183529292543550908220241732439099742325027739689997361489
skew: 7828853.70
c0: 638751040676211287714190672432
c1: -63505053422897386821124
c2: -74075053191884047
c3: 2527996632
c4: 588
Y0: -7252654649879047771469431
Y1: 13305304500367
rlim: 2220000
alim: 2220000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs

Factor base limits: 2220000/2220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1110000, 1710001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 242140 x 242367
Total sieving time: 3.75 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,102,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2220000,2220000,26,26,52,52,2.5,2.5,100000
total time: 3.84 hours.
 --------- CPU info (if available) ----------

5177336628746623262351399412115577677027908442605154828455723093292260449956811849952339952324111593980359<106>

27234418443194410195039404709240939054891<41>
190102705499128596108931985670594660333849735708013284235699937749<66>

N=5177336628746623262351399412115577677027908442605154828455723093292260449956811849952339952324111593980359
  ( 106 digits)
Divisors found:
 r1=27234418443194410195039404709240939054891 (pp41)
 r2=190102705499128596108931985670594660333849735708013284235699937749 (pp66)
Version: Msieve v. 1.52 (SVN exported)
Total time: 4.93 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5177336628746623262351399412115577677027908442605154828455723093292260449956811849952339952324111593980359
skew: 9826677.69
c0: 230635979091061368405799068279
c1: 50725569390732883346922
c2: -73672435380122259
c3: -1375186022
c4: 240
Y0: -68151253165647225845780510
Y1: 6089122654097
rlim: 2640000
alim: 2640000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs

Factor base limits: 2640000/2640000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1320000, 2070001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 340310 x 340543
Total sieving time: 4.82 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,105,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2640000,2640000,26,26,52,52,2.5,2.5,150000
total time: 4.93 hours.
 --------- CPU info (if available) ----------

114464135758347658061613073247446583767290087613600465819538305272980581612045292870998798552496283176486998545888296480172204978894691842261992317709878147<156>

18677126621375443841469808138354414433905919138021<50>
6128573097927530671582024526799198558770937921647231918131342811511565609318894028584221061182952530472007<106>

114464135758347658061613073247446583767290087613600465819538305272980581612045292870998798552496283176486998545888296480172204978894691842261992317709878147=18677126621375443841469808138354414433905919138021*6128573097927530671582024526799198558770937921647231918131342811511565609318894028584221061182952530472007

cado polynomial
n: 114464135758347658061613073247446583767290087613600465819538305272980581612045292870998798552496283176486998545888296480172204978894691842261992317709878147
skew: 0.26
type: snfs
c0: -1
c5: 775
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 775*x^5-1
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5300000
tasks.lim1 = 5300000
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: 18677126621375443841469808138354414433905919138021 6128573097927530671582024526799198558770937921647231918131342811511565609318894028584221061182952530472007
Info:Square Root: Total cpu/real time for sqrt: 227.11/73.1613
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12059441
Info:Lattice Sieving: Average J: 1895.22 for 583169 special-q, max bucket fill -bkmult 1.0,1s:1.242210
Info:Lattice Sieving: Total time: 76912.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.29/1.25438
Info:Generate Free Relations: Total cpu/real time for freerel: 59.72/16.7049
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.61/52.9615
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: 158.08/151.291
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 124.5s
Info:Filtering - Merging: Merged matrix has 914777 rows and total weight 155865424 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 211.36/59.2426
Info:Filtering - Merging: Total cpu/real time for replay: 33.25/27.9006
Info:Linear Algebra: Total cpu/real time for bwc: 13246.2/3402.52
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 8376.28, WCT time 2142.22, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (28672 iterations)
Info:Linear Algebra: Lingen CPU time 165.88, WCT time 42.25
Info:Linear Algebra: Mksol: CPU time 4556.18,  WCT time 1163.51, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14336 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 32.06/12.6554
Info:Square Root: Total cpu/real time for sqrt: 227.11/73.1613
Info:Filtering - Singleton removal: Total cpu/real time for purge: 104.34/123.406
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 156334/42272
Info:root: Cleaning up computation data in /tmp/cado.n4lhnhlp
18677126621375443841469808138354414433905919138021 6128573097927530671582024526799198558770937921647231918131342811511565609318894028584221061182952530472007

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)

221400733819076936160310952212391360353053219481496769727818412765530002920046631139371854085437508314282951578157213625797232433753802720730196771<147>

38255949590374098410200256688343003326577779996694318969<56>
5787354285796775489810256635561010594462581476980950334685595940723842743190932315104910459<91>

221400733819076936160310952212391360353053219481496769727818412765530002920046631139371854085437508314282951578157213625797232433753802720730196771=38255949590374098410200256688343003326577779996694318969*5787354285796775489810256635561010594462581476980950334685595940723842743190932315104910459

cado polynomial
n: 221400733819076936160310952212391360353053219481496769727818412765530002920046631139371854085437508314282951578157213625797232433753802720730196771
skew: 0.71
type: snfs
c0: -4
c6: 31
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 31*x^6-4
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5900000
tasks.lim1 = 5900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5787354285796775489810256635561010594462581476980950334685595940723842743190932315104910459 38255949590374098410200256688343003326577779996694318969
Info:Square Root: Total cpu/real time for sqrt: 173.96/54.5163
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22410984
Info:Lattice Sieving: Average J: 1894.61 for 1155596 special-q, max bucket fill -bkmult 1.0,1s:1.217730
Info:Lattice Sieving: Total time: 157206s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.87/2.12595
Info:Generate Free Relations: Total cpu/real time for freerel: 182.24/46.7685
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.28/100.668
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 100.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 222.98/185.714
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 169.39999999999998s
Info:Filtering - Merging: Merged matrix has 785584 rows and total weight 134369416 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 183.36/50.9949
Info:Filtering - Merging: Total cpu/real time for replay: 26.33/22.1806
Info:Linear Algebra: Total cpu/real time for bwc: 9652.45/2481.03
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6073.11, WCT time 1553.25, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24576 iterations)
Info:Linear Algebra: Lingen CPU time 142.45, WCT time 36.2
Info:Linear Algebra: Mksol: CPU time 3313.04,  WCT time 846.23, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 25.41/10.0423
Info:Square Root: Total cpu/real time for sqrt: 173.96/54.5163
Info:Filtering - Singleton removal: Total cpu/real time for purge: 151.41/139.421
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 300121/82030.9
Info:root: Cleaning up computation data in /tmp/cado.vd9rd5wp
5787354285796775489810256635561010594462581476980950334685595940723842743190932315104910459 38255949590374098410200256688343003326577779996694318969

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)

1154332620590120605504656384256150372431074153072716915449747037155626652407864130570576666626169642828680833228696113002528171949530072157424058491969831<154>

1396943708270124561522693052771804184549<40>

826327226899904062321784628176722132197756454792550911214857551998576895447796392862140210588321627390730403566619<114>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2484437683
Step 1 took 3406ms
Step 2 took 1891ms
********** Factor found in step 2: 1396943708270124561522693052771804184549
Found prime factor of 40 digits: 1396943708270124561522693052771804184549
Composite cofactor 826327226899904062321784628176722132197756454792550911214857551998576895447796392862140210588321627390730403566619 has 114 digits

GMP-ECM

826327226899904062321784628176722132197756454792550911214857551998576895447796392862140210588321627390730403566619<114>

107170655225487481539325529007955553349963635767185967<54>
7710387000632853422940529345680094565014193556303380085849557<61>

N=826327226899904062321784628176722132197756454792550911214857551998576895447796392862140210588321627390730403566619
  ( 114 digits)
Divisors found:
 r1=107170655225487481539325529007955553349963635767185967 (pp54)
 r2=7710387000632853422940529345680094565014193556303380085849557 (pp61)
Version: Msieve v. 1.52 (SVN exported)
Total time: 13.66 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 826327226899904062321784628176722132197756454792550911214857551998576895447796392862140210588321627390730403566619
skew: 54369.15
c0: -1488192386177992601689814385
c1: 143783153714538363039156
c2: 5490788551732420545
c3: -304313870719388
c4: -2155188368
c5: 9240
Y0: -9780066516813503795974
Y1: 22091964619441
rlim: 4240000
alim: 4240000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 4240000/4240000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2120000, 3020001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 552706 x 552934
Total sieving time: 13.43 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4240000,4240000,27,27,54,54,2.5,2.5,100000
total time: 13.66 hours.
 --------- CPU info (if available) ----------

707171262044164455576830095135561782981621060888633416227001001008399246673079711574793394064576316379778773194485683728478197701<129>

488243308765620537834307710447284138005094833087493769587<57>
1448399290575100338554751966347909890764163647295594713864276373956635623<73>

707171262044164455576830095135561782981621060888633416227001001008399246673079711574793394064576316379778773194485683728478197701=488243308765620537834307710447284138005094833087493769587*1448399290575100338554751966347909890764163647295594713864276373956635623

cado polynomial
n: 707171262044164455576830095135561782981621060888633416227001001008399246673079711574793394064576316379778773194485683728478197701
skew: 0.26
type: snfs
c0: -1
c5: 775
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 775*x^5-1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6500000
tasks.lim1 = 6500000
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: 1448399290575100338554751966347909890764163647295594713864276373956635623 488243308765620537834307710447284138005094833087493769587
Info:Square Root: Total cpu/real time for sqrt: 221.52/70.2838
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22430018
Info:Lattice Sieving: Average J: 1896.93 for 854071 special-q, max bucket fill -bkmult 1.0,1s:1.190380
Info:Lattice Sieving: Total time: 137027s
Info:Generate Free Relations: Total cpu/real time for freerel: 118.78/32.3639
Info:Generate Factor Base: Total cpu/real time for makefb: 2.78/1.61163
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.85/99.5797
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 99.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 212.74/181.189
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 164.2s
Info:Filtering - Merging: Merged matrix has 966064 rows and total weight 164376859 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 227.37/63.4348
Info:Filtering - Merging: Total cpu/real time for replay: 33.54/28.3372
Info:Linear Algebra: Total cpu/real time for bwc: 14608.1/3750.39
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9240.15, WCT time 2361.75, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (30208 iterations)
Info:Linear Algebra: Lingen CPU time 171.13, WCT time 43.54
Info:Linear Algebra: Mksol: CPU time 5039.09,  WCT time 1286.36, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15104 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 32.33/12.7462
Info:Square Root: Total cpu/real time for sqrt: 221.52/70.2838
Info:Filtering - Singleton removal: Total cpu/real time for purge: 126.68/126.937
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 271052/73251.3
Info:root: Cleaning up computation data in /tmp/cado.aqd7ly8d
1448399290575100338554751966347909890764163647295594713864276373956635623 488243308765620537834307710447284138005094833087493769587

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)

1437568848240142779306986690684002419571658940976952926156052588300321679627412951502590186510281306724064144384157534480937103<127>

95737508714661333731312157645403982032097369626673791<53>
15015732783738001213983949526243662913390301275371804265204320618240322033<74>

1437568848240142779306986690684002419571658940976952926156052588300321679627412951502590186510281306724064144384157534480937103=95737508714661333731312157645403982032097369626673791*15015732783738001213983949526243662913390301275371804265204320618240322033

cado polynomial
n: 1437568848240142779306986690684002419571658940976952926156052588300321679627412951502590186510281306724064144384157534480937103
skew: 0.66
type: snfs
c0: -4
c5: 31
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 31*x^5-4
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7400000
tasks.lim1 = 7400000
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: 15015732783738001213983949526243662913390301275371804265204320618240322033 95737508714661333731312157645403982032097369626673791
Info:Square Root: Total cpu/real time for sqrt: 261.97/84.0626
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22418225
Info:Lattice Sieving: Average J: 1895.22 for 1025012 special-q, max bucket fill -bkmult 1.0,1s:1.169130
Info:Lattice Sieving: Total time: 172311s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.11/1.717
Info:Generate Free Relations: Total cpu/real time for freerel: 116.71/32.0641
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.88/105.862
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.18/178.218
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 165.2s
Info:Filtering - Merging: Merged matrix has 1129818 rows and total weight 192393292 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 272.76/75.7008
Info:Filtering - Merging: Total cpu/real time for replay: 40.11/34.4675
Info:Linear Algebra: Total cpu/real time for bwc: 19996.4/5132.02
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 12683.7, WCT time 3244.5, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35328 iterations)
Info:Linear Algebra: Lingen CPU time 222.22, WCT time 56.28
Info:Linear Algebra: Mksol: CPU time 6903.33,  WCT time 1761.78, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (17664 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 37.78/14.9891
Info:Square Root: Total cpu/real time for sqrt: 261.97/84.0626
Info:Filtering - Singleton removal: Total cpu/real time for purge: 114.59/119.43
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 342488/92348.8
Info:root: Cleaning up computation data in /tmp/cado.wh54un3p
15015732783738001213983949526243662913390301275371804265204320618240322033 95737508714661333731312157645403982032097369626673791

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)

97650115327612783282810986850470220676020726921391471058183658302958298697968279246667474220082833397118985122113469022720492709394466555289<140>

3607492958766469081420168282678557897827<40>
27068691870989223394405944244858485393245721127073406084710402550510805357194401571783874777806391507<101>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3235573210
Step 1 took 5922ms
Step 2 took 3297ms
********** Factor found in step 2: 3607492958766469081420168282678557897827
Found prime factor of 40 digits: 3607492958766469081420168282678557897827
Prime cofactor 27068691870989223394405944244858485393245721127073406084710402550510805357194401571783874777806391507 has 101 digits
 

GMP-ECM

995525556171887543917949253653491113058043672762777234786973453934012315540054432536235726270111336304601714591245013342433087407132669671169158921530734440797<159>

4721536307517333618511952866243796381660861<43>
7414603417937596125650710853520744335409375373<46>
28436828093451038112150165541531943320889703490924346871806467958898149<71>

995525556171887543917949253653491113058043672762777234786973453934012315540054432536235726270111336304601714591245013342433087407132669671169158921530734440797=4721536307517333618511952866243796381660861*7414603417937596125650710853520744335409375373*28436828093451038112150165541531943320889703490924346871806467958898149

cado polynomial
n: 995525556171887543917949253653491113058043672762777234786973453934012315540054432536235726270111336304601714591245013342433087407132669671169158921530734440797
skew: 0.26
type: snfs
c0: -1
c5: 775
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 775*x^5-1
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7800000
tasks.lim1 = 7800000
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: 28436828093451038112150165541531943320889703490924346871806467958898149 4721536307517333618511952866243796381660861 7414603417937596125650710853520744335409375373
Info:Square Root: Total cpu/real time for sqrt: 333.45/106.039
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22414753
Info:Lattice Sieving: Average J: 1896.48 for 1276489 special-q, max bucket fill -bkmult 1.0,1s:1.163180
Info:Lattice Sieving: Total time: 215838s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.35/1.84332
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.32/104.547
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 104.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.71/180.646
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 167.1s
Info:Filtering - Merging: Merged matrix has 1321655 rows and total weight 225888672 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 329.73/91.6319
Info:Filtering - Merging: Total cpu/real time for replay: 48.08/40.4898
Info:Linear Algebra: Total cpu/real time for bwc: 27889.9/7149.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 17766.29, WCT time 4539.49, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41472 iterations)
Info:Linear Algebra: Lingen CPU time 257.26, WCT time 65.28
Info:Linear Algebra: Mksol: CPU time 9638.89,  WCT time 2460.42, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20736 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 45.03/18.5072
Info:Square Root: Total cpu/real time for sqrt: 333.45/106.039
Info:Filtering - Singleton removal: Total cpu/real time for purge: 99.23/108.9
Info:Generate Free Relations: Total cpu/real time for freerel: 119.52/32.0688
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 432309/116212
Info:root: Cleaning up computation data in /tmp/cado.v9h4sax0
28436828093451038112150165541531943320889703490924346871806467958898149 4721536307517333618511952866243796381660861 7414603417937596125650710853520744335409375373

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)

214334276806094443967143308390158391017631953427280288122608037021219980590822799636005961516815478794557966328569961055230283633374409<135>

11366951691940323570485125516130669513504411<44>
18855915166602407485583031869982645006601355535222594102189663854183211823093317480741504619<92>

214334276806094443967143308390158391017631953427280288122608037021219980590822799636005961516815478794557966328569961055230283633374409=11366951691940323570485125516130669513504411*18855915166602407485583031869982645006601355535222594102189663854183211823093317480741504619

cado polynomial
n: 214334276806094443967143308390158391017631953427280288122608037021219980590822799636005961516815478794557966328569961055230283633374409
skew: 0.53
type: snfs
c0: -5
c5: 124
Y0: 5000000000000000000000000000000000000
Y1: -1
# f(x) = 124*x^5-5
# g(x) = -x+5000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8700000
tasks.lim1 = 8700000
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: 18855915166602407485583031869982645006601355535222594102189663854183211823093317480741504619 11366951691940323570485125516130669513504411
Info:Square Root: Total cpu/real time for sqrt: 781.8/239.955
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22912233
Info:Lattice Sieving: Average J: 1894.01 for 1173989 special-q, max bucket fill -bkmult 1.0,1s:1.150000
Info:Lattice Sieving: Total time: 212638s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.69/2.00303
Info:Generate Free Relations: Total cpu/real time for freerel: 117.69/31.5348
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 92.56/107.291
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 107.10000000000001s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 285.24/263.673
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 223.79999999999998s
Info:Filtering - Merging: Merged matrix has 1587037 rows and total weight 270398360 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 408.23/113.575
Info:Filtering - Merging: Total cpu/real time for replay: 61.44/52.377
Info:Linear Algebra: Total cpu/real time for bwc: 40819.3/10466
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 26076.39, WCT time 6656.25, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (49664 iterations)
Info:Linear Algebra: Lingen CPU time 323.99, WCT time 82.27
Info:Linear Algebra: Mksol: CPU time 14133.43,  WCT time 3618.46, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (24832 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 57.74/23.1629
Info:Square Root: Total cpu/real time for sqrt: 781.8/239.955
Info:Filtering - Singleton removal: Total cpu/real time for purge: 163.34/192.109
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 439080/117866
Info:root: Cleaning up computation data in /tmp/cado.rbf6vri4
18855915166602407485583031869982645006601355535222594102189663854183211823093317480741504619 11366951691940323570485125516130669513504411

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)

29662800933899797144716193975580816779576683124736862249779921154361388601829525012439239101312818157461629731695181230145060665212232556359321774409614574960768553603551881195697937<182>

6855184638226014209985591076051688592776904738529783222908956344989317527<73>
4327060830498059578238828966155498961031447160398717704639519323214495033526828746927032693649228602536679831<109>

29662800933899797144716193975580816779576683124736862249779921154361388601829525012439239101312818157461629731695181230145060665212232556359321774409614574960768553603551881195697937=6855184638226014209985591076051688592776904738529783222908956344989317527*4327060830498059578238828966155498961031447160398717704639519323214495033526828746927032693649228602536679831

cado polynomial
n: 29662800933899797144716193975580816779576683124736862249779921154361388601829525012439239101312818157461629731695181230145060665212232556359321774409614574960768553603551881195697937
skew: 0.66
type: snfs
c0: -4
c5: 31
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 31*x^5-4
# 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: 6855184638226014209985591076051688592776904738529783222908956344989317527 4327060830498059578238828966155498961031447160398717704639519323214495033526828746927032693649228602536679831
Info:Square Root: Total cpu/real time for sqrt: 884.5/123.921
Info:Filtering - Merging: Merged matrix has 1674699 rows and total weight 286556210 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 743.89/172.319
Info:Filtering - Merging: Total cpu/real time for replay: 99.6/74.714
Info:Generate Factor Base: Total cpu/real time for makefb: 5.01/0.900427
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 860.38/631.881
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 490.0999999999999s
Info:Quadratic Characters: Total cpu/real time for characters: 79.09/16.7689
Info:Square Root: Total cpu/real time for sqrt: 884.5/123.921
Info:Linear Algebra: Total cpu/real time for bwc: 197143/27498
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 49085.88, WCT time 11160.04, iteration CPU time 0.15, COMM 0.0, cpu-wait 0.05, comm-wait 0.0 (52480 iterations)
Info:Linear Algebra: Lingen CPU time 122760.33, WCT time 11436.19
Info:Linear Algebra: Mksol: CPU time 24957.27,  WCT time 4798.46, iteration CPU time 0.16, COMM 0.0, cpu-wait 0.02, comm-wait 0.0 (26368 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 564.94/478.226
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23553973
Info:Lattice Sieving: Average J: 1895.06 for 1361252 special-q, max bucket fill -bkmult 1.0,1s:1.113790
Info:Lattice Sieving: Total time: 618273s
Info:Generate Free Relations: Total cpu/real time for freerel: 143.2/13.2923
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 256.41/180.671
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 179.9s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.41131e+06/152515
Info:root: Cleaning up computation data in /tmp/cado.78lw47l2
6855184638226014209985591076051688592776904738529783222908956344989317527 4327060830498059578238828966155498961031447160398717704639519323214495033526828746927032693649228602536679831

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)

37133319135131507243269384939302712941174036260688736064327006290559050989324998116604339506248613640433167956546838845831786385571460962333668915487811<152>

49044578045369920902913017229629736558440206461669394804700766842559<68>
757134032242675145201894071063978065425636243022738536489587103711592742790495170429<84>

37133319135131507243269384939302712941174036260688736064327006290559050989324998116604339506248613640433167956546838845831786385571460962333668915487811=49044578045369920902913017229629736558440206461669394804700766842559*757134032242675145201894071063978065425636243022738536489587103711592742790495170429

cado polynomial
n: 37133319135131507243269384939302712941174036260688736064327006290559050989324998116604339506248613640433167956546838845831786385571460962333668915487811
skew: 0.71
type: snfs
c0: -4
c6: 31
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 31*x^6-4
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9300000
tasks.lim1 = 9300000
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: 757134032242675145201894071063978065425636243022738536489587103711592742790495170429 49044578045369920902913017229629736558440206461669394804700766842559
Info:Square Root: Total cpu/real time for sqrt: 482.6/150.421
Info:Filtering - Singleton removal: Total cpu/real time for purge: 164.03/194.883
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22905031
Info:Lattice Sieving: Average J: 1895.01 for 1591453 special-q, max bucket fill -bkmult 1.0,1s:1.204800
Info:Lattice Sieving: Total time: 268998s
Info:Linear Algebra: Total cpu/real time for bwc: 48341.5/12463.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 30937.4, WCT time 7930.56, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (53760 iterations)
Info:Linear Algebra: Lingen CPU time 336.88, WCT time 85.71
Info:Linear Algebra: Mksol: CPU time 16752.71,  WCT time 4313.08, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26880 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.08/2.87242
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 93.1/105.461
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 302.87/276.798
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 237.89999999999998s
Info:Filtering - Merging: Merged matrix has 1713646 rows and total weight 292624112 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 450.19/125.425
Info:Filtering - Merging: Total cpu/real time for replay: 67.62/60.2361
Info:Quadratic Characters: Total cpu/real time for characters: 61.58/26.04
Info:Square Root: Total cpu/real time for sqrt: 482.6/150.421
Info:Generate Free Relations: Total cpu/real time for freerel: 184.22/46.933
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 547898/147986
Info:root: Cleaning up computation data in /tmp/cado.4gm5hpxg
757134032242675145201894071063978065425636243022738536489587103711592742790495170429 49044578045369920902913017229629736558440206461669394804700766842559

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)

5638320954870050718619117808188941836137198110729143000739368841279413614885674606521752258130393566445708185840355033994356643453641621829221902375617888607<157>

267065177156337935797311310281813018319660028195509891794906602001324411509<75>
21112153276237209522736651321990950494907733178809512747724601019268180575072197123<83>

5638320954870050718619117808188941836137198110729143000739368841279413614885674606521752258130393566445708185840355033994356643453641621829221902375617888607=267065177156337935797311310281813018319660028195509891794906602001324411509*21112153276237209522736651321990950494907733178809512747724601019268180575072197123

cado polynomial
n: 5638320954870050718619117808188941836137198110729143000739368841279413614885674606521752258130393566445708185840355033994356643453641621829221902375617888607
skew: 0.26
type: snfs
c0: -1
c5: 775
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 775*x^5-1
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9500000
tasks.lim1 = 9500000
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: 21112153276237209522736651321990950494907733178809512747724601019268180575072197123 267065177156337935797311310281813018319660028195509891794906602001324411509
Info:Square Root: Total cpu/real time for sqrt: 982.96/302.365
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24622589
Info:Lattice Sieving: Average J: 1896.91 for 1791569 special-q, max bucket fill -bkmult 1.0,1s:1.158790
Info:Lattice Sieving: Total time: 330617s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.04/2.22629
Info:Generate Free Relations: Total cpu/real time for freerel: 120.6/32.663
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 100.99/119.582
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 119.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 396.91/391.358
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 317.70000000000005s
Info:Filtering - Merging: Merged matrix has 1893187 rows and total weight 322380589 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 503.63/139.718
Info:Filtering - Merging: Total cpu/real time for replay: 73.18/62.7511
Info:Linear Algebra: Total cpu/real time for bwc: 60250.7/15452.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 38650.7, WCT time 9864.36, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (59392 iterations)
Info:Linear Algebra: Lingen CPU time 376.04, WCT time 95.61
Info:Linear Algebra: Mksol: CPU time 20867.77,  WCT time 5344.18, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29696 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 67.77/28.4491
Info:Square Root: Total cpu/real time for sqrt: 982.96/302.365
Info:Filtering - Singleton removal: Total cpu/real time for purge: 279.44/332.484
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 680925/182056
Info:root: Cleaning up computation data in /tmp/cado.p9bzzjy2
21112153276237209522736651321990950494907733178809512747724601019268180575072197123 267065177156337935797311310281813018319660028195509891794906602001324411509

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)

40858832749349115948712657775053575954608606894322418412856680034995250342192442483675522100848397233322507005972753165410424763785162126030937429814709<152>

6308657124439096080186602118430638893<37>
6476629168997971598715060900317487253343561905539212729045577489024115816007195668237436298871051554234992606988713<115>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3126164487
Step 1 took 5984ms
Step 2 took 3453ms
********** Factor found in step 2: 6308657124439096080186602118430638893
Found prime factor of 37 digits: 6308657124439096080186602118430638893
Prime cofactor 6476629168997971598715060900317487253343561905539212729045577489024115816007195668237436298871051554234992606988713 has 115 digits
 

GMP-ECM

763690600461158680576945504549605217467643307461797433819343645394323135889431805644294289665072099681333019951594023933402080109471561<135>

77866947701610219565120136660473201994901906669817088435371<59>
9807634985098641985633949939136462251345020641267754299539680624101546236891<76>

763690600461158680576945504549605217467643307461797433819343645394323135889431805644294289665072099681333019951594023933402080109471561=77866947701610219565120136660473201994901906669817088435371*9807634985098641985633949939136462251345020641267754299539680624101546236891

cado polynomial
n: 763690600461158680576945504549605217467643307461797433819343645394323135889431805644294289665072099681333019951594023933402080109471561
skew: 0.42
type: snfs
c0: -2
c5: 155
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 155*x^5-2
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11200000
tasks.lim1 = 11200000
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: 77866947701610219565120136660473201994901906669817088435371 9807634985098641985633949939136462251345020641267754299539680624101546236891
Info:Square Root: Total cpu/real time for sqrt: 579.28/185.762
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26956527
Info:Lattice Sieving: Average J: 1893.83 for 2162681 special-q, max bucket fill -bkmult 1.0,1s:1.132870
Info:Lattice Sieving: Total time: 441192s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.78/2.45723
Info:Generate Free Relations: Total cpu/real time for freerel: 117.23/31.9443
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 111.08/124.902
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 124.29999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 500.55/508.001
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 409.2s
Info:Filtering - Merging: Merged matrix has 2116924 rows and total weight 359967874 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 567.25/157.138
Info:Filtering - Merging: Total cpu/real time for replay: 82.46/71.217
Info:Linear Algebra: Total cpu/real time for bwc: 75640.1/19353.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 48354.1, WCT time 12326.72, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (66560 iterations)
Info:Linear Algebra: Lingen CPU time 472.85, WCT time 119.66
Info:Linear Algebra: Mksol: CPU time 26100.55,  WCT time 6668.22, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (33280 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 74.19/32.4534
Info:Square Root: Total cpu/real time for sqrt: 579.28/185.762
Info:Filtering - Singleton removal: Total cpu/real time for purge: 399.24/467.504
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 902215/241306
Info:root: Cleaning up computation data in /tmp/cado.apljxu06
77866947701610219565120136660473201994901906669817088435371 9807634985098641985633949939136462251345020641267754299539680624101546236891

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)

99119340785704719591404666258128532597501398951618689008173632812883713076527487193719234403349350809734549316889444399<119>

8541509096839379728115981403550096573<37>
11604429575844146200402471996669500032744311068569921836993315303112311021211811163<83>

99119340785704719591404666258128532597501398951618689008173632812883713076527487193719234403349350809734549316889444399=8541509096839379728115981403550096573*11604429575844146200402471996669500032744311068569921836993315303112311021211811163

cado polynomial
n: 99119340785704719591404666258128532597501398951618689008173632812883713076527487193719234403349350809734549316889444399
skew: 61411.518
c0: -4344034802744353819528343370
c1: -444772291592709407779871
c2: -4822068075953351694
c3: 404885541377459
c4: 625317876
c5: 1440
Y0: -241605661862153327677218
Y1: 1840855409092067
type: gnfs
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.689e-06
# f(x) = 1440*x^5+625317876*x^4+404885541377459*x^3-4822068075953351694*x^2-444772291592709407779871*x-4344034802744353819528343370
# g(x) = 1840855409092067*x-241605661862153327677218

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

cado log (extracts)
Info:Square Root: Factors: 11604429575844146200402471996669500032744311068569921836993315303112311021211811163 8541509096839379728115981403550096573
Info:Square Root: Total cpu/real time for sqrt: 292.78/80.7854
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1583.73
Info:Polynomial Selection (root optimized): Rootsieve time: 1581.25
Info:Generate Factor Base: Total cpu/real time for makefb: 5.1/2.17906
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.75/59.6666
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 59.5s
Info:Filtering - Merging: Merged matrix has 605786 rows and total weight 60616177 (100.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 43.98/14.5569
Info:Filtering - Merging: Total cpu/real time for replay: 14.47/11.4236
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 133.46/117.588
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 102.9s
Info:Quadratic Characters: Total cpu/real time for characters: 18.33/7.07173
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20090/33.970/42.515/47.320/1.037
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15981/33.530/37.620/42.970/0.840
Info:Polynomial Selection (size optimized): Total time: 2271.29
Info:Linear Algebra: Total cpu/real time for bwc: 3400.01/887.09
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2057.67, WCT time 534.85, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (19200 iterations)
Info:Linear Algebra: Lingen CPU time 102.41, WCT time 26.05
Info:Linear Algebra: Mksol: CPU time 1182.26,  WCT time 305.81, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9472 iterations)
Info:Square Root: Total cpu/real time for sqrt: 292.78/80.7854
Info:Generate Free Relations: Total cpu/real time for freerel: 126.21/55.3997
Info:Filtering - Singleton removal: Total cpu/real time for purge: 56.93/59.7361
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13438169
Info:Lattice Sieving: Average J: 1900.3 for 218645 special-q, max bucket fill -bkmult 1.0,1s:1.257610
Info:Lattice Sieving: Total time: 33336.4s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 58794.6/19572.8
Info:root: Cleaning up computation data in /tmp/cado.a9_pawfs
11604429575844146200402471996669500032744311068569921836993315303112311021211811163 8541509096839379728115981403550096573

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)

1086526637935642419547234369914727751985695443094330937213370684568438617553128342269842646746595552858281560512106312189710544123117<133>

2539685732406304831524561857943677073757283334691<49>
427819325860518462144325180680738192543456204949156626233454979901943493804746055087<84>

1086526637935642419547234369914727751985695443094330937213370684568438617553128342269842646746595552858281560512106312189710544123117=2539685732406304831524561857943677073757283334691*427819325860518462144325180680738192543456204949156626233454979901943493804746055087

cado polynomial
n: 1086526637935642419547234369914727751985695443094330937213370684568438617553128342269842646746595552858281560512106312189710544123117
skew: 152087.531
c0: 1575342288450121942583157914680
c1: -128938184687530705285994994
c2: -3539263844427638540549
c3: 7433621546671083
c4: -35836119260
c5: 124800
Y0: -32342571051637723073957871
Y1: 1818182997042125179
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.607e-07
# f(x) = 124800*x^5-35836119260*x^4+7433621546671083*x^3-3539263844427638540549*x^2-128938184687530705285994994*x+1575342288450121942583157914680
# g(x) = 1818182997042125179*x-32342571051637723073957871

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 427819325860518462144325180680738192543456204949156626233454979901943493804746055087 2539685732406304831524561857943677073757283334691
Info:Square Root: Total cpu/real time for sqrt: 4184.5/409.817
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): 54426/39.480/47.440/53.190/0.993
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44565/38.690/42.218/48.060/0.948
Info:Polynomial Selection (size optimized): Total time: 19839.7
Info:Generate Factor Base: Total cpu/real time for makefb: 18.71/2.61814
Info:Generate Free Relations: Total cpu/real time for freerel: 336.92/31.7842
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 481.17/379.421
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 351.1s
Info:Quadratic Characters: Total cpu/real time for characters: 48.89/13.1856
Info:Square Root: Total cpu/real time for sqrt: 4184.5/409.817
Info:Linear Algebra: Total cpu/real time for bwc: 37086.1/7949.68
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 21504.41, WCT time 4903.81, iteration CPU time 0.1, COMM 0.0, cpu-wait 0.03, comm-wait 0.0 (36864 iterations)
Info:Linear Algebra: Lingen CPU time 3995.02, WCT time 394.43
Info:Linear Algebra: Mksol: CPU time 11337.96,  WCT time 2580.74, iteration CPU time 0.1, COMM 0.0, cpu-wait 0.03, comm-wait 0.0 (18432 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17019826
Info:Lattice Sieving: Average J: 3794.85 for 497460 special-q, max bucket fill -bkmult 1.0,1s:1.219640
Info:Lattice Sieving: Total time: 437860s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 223.45/235.19
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 212.48/208.704
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 208.3s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 10282.9
Info:Polynomial Selection (root optimized): Rootsieve time: 10278.9
Info:Filtering - Merging: Merged matrix has 1175973 rows and total weight 200996781 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 460.32/62.0692
Info:Filtering - Merging: Total cpu/real time for replay: 44.08/33.7481
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 811041/85901.6
Info:root: Cleaning up computation data in /tmp/cado.6md1zylq
427819325860518462144325180680738192543456204949156626233454979901943493804746055087 2539685732406304831524561857943677073757283334691

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)

740003907046254856564740601676022916172793838255010379830322312436853930103132620905898891123774551164809240373720652883082368796267999510573675744318125484450017620349609<171>

759427144230971660349159622509343459285568996664365173<54>
974423830735750691702844619632749879026844787988051064558161904268974981687429390182637888548057056592930410365039333<117>

740003907046254856564740601676022916172793838255010379830322312436853930103132620905898891123774551164809240373720652883082368796267999510573675744318125484450017620349609=759427144230971660349159622509343459285568996664365173*974423830735750691702844619632749879026844787988051064558161904268974981687429390182637888548057056592930410365039333

cado polynomial
n: 740003907046254856564740601676022916172793838255010379830322312436853930103132620905898891123774551164809240373720652883082368796267999510573675744318125484450017620349609
skew: 0.66
type: snfs
c0: -4
c5: 31
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 31*x^5-4
# 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: 974423830735750691702844619632749879026844787988051064558161904268974981687429390182637888548057056592930410365039333 759427144230971660349159622509343459285568996664365173
Info:Square Root: Total cpu/real time for sqrt: 659.08/210.008
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29037924
Info:Lattice Sieving: Average J: 1894.43 for 3235845 special-q, max bucket fill -bkmult 1.0,1s:1.144420
Info:Lattice Sieving: Total time: 722136s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.56/2.60363
Info:Generate Free Relations: Total cpu/real time for freerel: 119.5/32.5803
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 122.52/143.774
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 143.20000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 524.75/533.073
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 431.9s
Info:Filtering - Merging: Merged matrix has 2541528 rows and total weight 433565446 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 709.68/195.745
Info:Filtering - Merging: Total cpu/real time for replay: 98.85/85.6172
Info:Linear Algebra: Total cpu/real time for bwc: 113862/29113.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 73109.34, WCT time 18637.26, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (79872 iterations)
Info:Linear Algebra: Lingen CPU time 538.45, WCT time 136.53
Info:Linear Algebra: Mksol: CPU time 39302.08,  WCT time 10024.26, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39936 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 88.24/38.4786
Info:Square Root: Total cpu/real time for sqrt: 659.08/210.008
Info:Filtering - Singleton removal: Total cpu/real time for purge: 415.11/485.461
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.47143e+06/392042
Info:root: Cleaning up computation data in /tmp/cado.1p_jskxu
974423830735750691702844619632749879026844787988051064558161904268974981687429390182637888548057056592930410365039333 759427144230971660349159622509343459285568996664365173

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)

4708255016277133231391974898302729090109321941776428922974146508644987793049726930502368468953299401388419774789589234922371130991931273591058979552245063<154>

68483623526461470867547139239234963435751933<44>
68750086134941513864126414523218989254363325220073305721680238637954377693615805828835179735511969635732958611<110>

Input number is 4708255016277133231391974898302729090109321941776428922974146508644987793049726930502368468953299401388419774789589234922371130991931273591058979552245063 (154 digits)
Using MODMULN [mulredc:0, sqrredc:1]
Using lmax = 8388608 with one pass NTT which takes about 3840MB of memory
Using B1=1000000000-1000000000, B2=205702371522480, polynomial x^1
P = 24249225, l = 8388608, s_1 = 4147200, k = s_2 = 2, m_1 = 17
Step 1 took 0ms
Computing F from factored S_1 took 27107ms
Computing h_x and h_y took 5182ms
Computing DCT-I of h_x took 9388ms
Computing DCT-I of h_y took 9230ms
Multi-point evaluation 1 of 2:
Computing g_x and g_y took 20523ms
Computing forward NTT of g_x took 9449ms
Computing forward NTT of g_y took 9513ms
Adding and computing inverse NTT of sum took 8924ms
Computing gcd of coefficients and N took 3392ms
Step 2 took 102962ms
********** Factor found in step 2: 68483623526461470867547139239234963435751933
Found prime factor of 44 digits: 68483623526461470867547139239234963435751933
Prime cofactor 68750086134941513864126414523218989254363325220073305721680238637954377693615805828835179735511969635732958611 has 110 digits

ECM/P-1

109001406469760900140646976090014064697609001406469760900140646976090014064697609001406469760900140646976090014064697609001406469760900140646976090014064697609001406469760900140646976090014064697609<198>

4013266689015395728233446509633036850762932363831571591<55>
27160269903843100422091174751605318640926012735849051530007073543485897001399595303155367129844983156633812327217028794335859547219946613961199<143>

Number: n
N=109001406469760900140646976090014064697609001406469760900140646976090014064697609001406469760900140646976090014064697609001406469760900140646976090014064697609001406469760900140646976090014064697609
  ( 198 digits)
SNFS difficulty: 200 digits.
Divisors found:

Thu Jul 22 17:47:02 2021  p55 factor: 4013266689015395728233446509633036850762932363831571591
Thu Jul 22 17:47:02 2021  p143 factor: 27160269903843100422091174751605318640926012735849051530007073543485897001399595303155367129844983156633812327217028794335859547219946613961199
Thu Jul 22 17:47:02 2021  elapsed time 01:20:37 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 31x10^199-4 = 34(199)
#
n: 109001406469760900140646976090014064697609001406469760900140646976090014064697609001406469760900140646976090014064697609001406469760900140646976090014064697609001406469760900140646976090014064697609
m: 5000000000000000000000000000000000000000
deg: 5
c5: 124
c0: -5
skew: 0.53
# Murphy_E = 1.516e-11
type: snfs
lss: 1
rlim: 15400000
alim: 15400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15400000/15400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 20500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8341513 hash collisions in 62359505 relations (56669436 unique)
Msieve: matrix is 1756530 x 1756759 (607.6 MB)

Sieving start time : 2021/07/22 09:32:20
Sieving end time  : 2021/07/22 16:25:04

Total sieving time: 6hrs 52min 44secs.

Total relation processing time: 1hrs 1min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 13sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15400000,15400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118191] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153502] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.23 BogoMIPS (lpj=12798472)
[    0.152038] smpboot: Total of 16 processors activated (102387.77 BogoMIPS)

3369087247986597019494196876811534762989351421734081424853396871909733650502323078454192332870767762835375264091324676954864929444024916255406403269536721<154>

600330793356366913203774407669758117<36>
5612051364466069622382993953191237253257204953612877373650767575523212864308937198950603524719523865799815491097383613<118>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1958987785
Step 1 took 4665ms
Step 2 took 2477ms
********** Factor found in step 2: 600330793356366913203774407669758117
Found prime factor of 36 digits: 600330793356366913203774407669758117
Prime cofactor 5612051364466069622382993953191237253257204953612877373650767575523212864308937198950603524719523865799815491097383613 has 118 digits

822698941312584932273964054767577216511265381090104136942189010254487642872256109664003311962163612429914233400766271369092671463360085102747004004679873778029564841843845448725058816995140253767<195>

226911589773071374540079517136200507291913747<45>
3625636496290672674738775984222490529037279355584417240122297753069702900733329888389445151871726715043436657622741322046714206496193243508380976161661<151>

Number: n
N=822698941312584932273964054767577216511265381090104136942189010254487642872256109664003311962163612429914233400766271369092671463360085102747004004679873778029564841843845448725058816995140253767
  ( 195 digits)
SNFS difficulty: 205 digits.
Divisors found:

Fri Jul 23 07:15:20 2021  p45 factor: 226911589773071374540079517136200507291913747
Fri Jul 23 07:15:20 2021  p151 factor: 3625636496290672674738775984222490529037279355584417240122297753069702900733329888389445151871726715043436657622741322046714206496193243508380976161661
Fri Jul 23 07:15:20 2021  elapsed time 01:47:41 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 31x10^204-4 = 34(204)
#
n: 822698941312584932273964054767577216511265381090104136942189010254487642872256109664003311962163612429914233400766271369092671463360085102747004004679873778029564841843845448725058816995140253767
m: 50000000000000000000000000000000000000000
deg: 5
c5: 124
c0: -5
skew: 0.53
# Murphy_E = 9.341e-12
type: snfs
lss: 1
rlim: 18700000
alim: 18700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18700000/18700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8338794 hash collisions in 59314073 relations (53281037 unique)
Msieve: matrix is 2143732 x 2143961 (745.2 MB)

Sieving start time : 2021/07/22 17:49:09
Sieving end time  : 2021/07/23 05:26:28

Total sieving time: 11hrs 37min 19secs.

Total relation processing time: 1hrs 29min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 38sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18700000,18700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118191] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153502] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.23 BogoMIPS (lpj=12798472)
[    0.152038] smpboot: Total of 16 processors activated (102387.77 BogoMIPS)

965810236261169420267297434082937520767506938875802066091629753719050283578285634211668629514912219736783591776849731694904352512650321488014974463<147>

18695232231133401467670024598620331643058865917993485864464838058646851493<74>
51660777695651926063614919306146403118764152542161253610359715907994830291<74>

18695232231133401467670024598620331643058865917993485864464838058646851493
51660777695651926063614919306146403118764152542161253610359715907994830291

cado-nfs

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

11858580823509162269801137070528269779104765831652805404828787329385262744510986113537495229906707932023717124409871048815281615001440455749653917<146>

66201414342202215043115992707598023846929397562687181613836450699<65>
179128813807676153363861031078322205633490797739385045159467836766380491457624183<81>

66201414342202215043115992707598023846929397562687181613836450699
179128813807676153363861031078322205633490797739385045159467836766380491457624183

cado-nfs

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

173561337964258375625212010204555208788916711960157784788952008688945957733475142989413406519359046421467645390177453587263047060477198816301509180234106181811<159>

32812121239767178194517917637050139144524361<44>
5289549453264482027712628571038621734335187635317582815444228019764540005357907305866586445155522191879791447495451<115>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3766860682
Step 1 took 253601ms
Step 2 took 79104ms
********** Factor found in step 2: 32812121239767178194517917637050139144524361
Found prime factor of 44 digits: 32812121239767178194517917637050139144524361
Prime cofactor 5289549453264482027712628571038621734335187635317582815444228019764540005357907305866586445155522191879791447495451 has 115 digits

42602979720068121673941889408859461982059606218770254166941414156897319271725910936229047454198956913408004887135741175655345238456735769997433488365660199651651710829805710007942110663399028079<194>

71681527135606906851607434905999045766037746993549291703662461<62>
594336943177451105108407866780039868819315220900268051433980491614018089343213919960082500856988938445566794695835961637346080386139<132>

Number: n
N=42602979720068121673941889408859461982059606218770254166941414156897319271725910936229047454198956913408004887135741175655345238456735769997433488365660199651651710829805710007942110663399028079
  ( 194 digits)
SNFS difficulty: 210 digits.
Divisors found:

Sat Jul 24 00:19:00 2021  p62 factor: 71681527135606906851607434905999045766037746993549291703662461
Sat Jul 24 00:19:00 2021  p132 factor: 594336943177451105108407866780039868819315220900268051433980491614018089343213919960082500856988938445566794695835961637346080386139
Sat Jul 24 00:19:00 2021  elapsed time 03:39:23 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 31x10^209-4 = 34(209)
#
n: 42602979720068121673941889408859461982059606218770254166941414156897319271725910936229047454198956913408004887135741175655345238456735769997433488365660199651651710829805710007942110663399028079
m: 500000000000000000000000000000000000000000
deg: 5
c5: 124
c0: -5
skew: 0.53
# Murphy_E = 5.731e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 38700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6880187 hash collisions in 52075531 relations (47172616 unique)
Msieve: matrix is 2985735 x 2985960 (1048.8 MB)

Sieving start time : 2021/07/23 07:21:22
Sieving end time  : 2021/07/23 20:38:19

Total sieving time: 13hrs 16min 57secs.

Total relation processing time: 3hrs 16min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 56sec.

Prototype def-par.txt line would be:
snfs,210,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118191] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153502] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.23 BogoMIPS (lpj=12798472)
[    0.152038] smpboot: Total of 16 processors activated (102387.77 BogoMIPS)

1833873330749185761652997682192296569394000997161287931742971853251685551829579632885717910499466031464835469357577528258689819811952658633989734932600539260557004466383553061503957911101<187>

1102137578056227503949918868453125022220515686617489998990299767200101254445880778578427398997979177421396258989531826177971753991515673818472963498625527781688588538622456017600070536804995598560252794807581<208>

110774247628216509641430081494861518132726912768860007523789062079155996815053007265661965548199223<99>
9949402515964279877733460271901604612770683719994631701445398686673890553075690456258946637397419314814556747<109>

Number: 34444_212
N = 1102137578056227503949918868453125022220515686617489998990299767200101254445880778578427398997979177421396258989531826177971753991515673818472963498625527781688588538622456017600070536804995598560252794807581 (208 digits)
SNFS difficulty: 213 digits.
Divisors found:
r1=110774247628216509641430081494861518132726912768860007523789062079155996815053007265661965548199223 (pp99)
r2=9949402515964279877733460271901604612770683719994631701445398686673890553075690456258946637397419314814556747 (pp109)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 91.74 hours.
Factorization parameters were as follows:
n: 1102137578056227503949918868453125022220515686617489998990299767200101254445880778578427398997979177421396258989531826177971753991515673818472963498625527781688588538622456017600070536804995598560252794807581
m: 100000000000000000000000000000000000
deg: 6
c6: 775
c0: -1
skew: 0.33
# Murphy_E = 4.361e-12
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 43954298
Relations: 6874804 relations
Pruned matrix : 4346133 x 4346358
Total sieving time: 74.62 hours.
Total relation processing time: 0.52 hours.
Matrix solve time: 15.86 hours.
time per square root: 0.73 hours.
Prototype def-par.txt line would be: snfs,213,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000
total time: 91.74 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 2, speed: 2.99GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

1373184149408973694374222247550213454771918073358228634857766304590509327563562562328357450082833355033323048938093295909898284531922776100659310283626916049008132285026415170595804707023547914499<196>

29463458857857431344227823708943946618417193<44>

46606345712284473780803240176259463084550642932394731317078474461751279320125764651789119779679502849729591966046662416321546815578031662545469498586443<152>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:425887120
Step 1 took 77608ms
Step 2 took 31156ms
********** Factor found in step 2: 29463458857857431344227823708943946618417193
Found prime factor of 44 digits: 29463458857857431344227823708943946618417193
Composite cofactor 46606345712284473780803240176259463084550642932394731317078474461751279320125764651789119779679502849729591966046662416321546815578031662545469498586443 has 152 digits

119053105365838671520961027389895079650367912499807978862313163433030708020338878903789729173387406485705946510591885954805905034026145598107439666958538795950658248459990475751570732906278323117808808393627970567<213>

3278278028468607160998474567206880353029<40>
36315743915549573352156120204840436292296847941458804193337251932561581646711862828647133009410719852792344414426746884626582201486823215663776631325191887820038812265812123<173>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:708885119
Step 1 took 97498ms
Step 2 took 38024ms
********** Factor found in step 2: 3278278028468607160998474567206880353029
Found prime factor of 40 digits: 3278278028468607160998474567206880353029
Prime cofactor 36315743915549573352156120204840436292296847941458804193337251932561581646711862828647133009410719852792344414426746884626582201486823215663776631325191887820038812265812123 has 173 digits

27966155661698704389044511110251948832173238170883891397744441628669540162830098457092411732074048350158199923090874418749307047550299765824099772141200647775434455167315517520981805857102194102723427<200>

74337421837278726828143864145395651833363588877<47>
376205617177783773435368766183056779976642081675027878976165365687506528386112858111746480642051644382896354163516281314077221904822098454876420129839151<153>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:4278795516
Step 1 took 105496ms
Step 2 took 33551ms
********** Factor found in step 2: 74337421837278726828143864145395651833363588877
Found prime factor of 47 digits: 74337421837278726828143864145395651833363588877
Prime cofactor 376205617177783773435368766183056779976642081675027878976165365687506528386112858111746480642051644382896354163516281314077221904822098454876420129839151 has 153 digits

213919936706392895684659112557743806430391159141409721747574268684593617808350569761628851095995009902236472257791296733930809600596287653733283345081531081270872183921680691053476043118011201603984996930727<207>

110107425557964810604568978518349799533343769<45>

1942829338006610290512203647973051380007562418045468477872138598914922709844843973683299381431803581321396563317860101879814148748110046592879674164513139061909183<163>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:774895137
Step 1 took 40613ms
Step 2 took 16480ms
********** Factor found in step 2: 110107425557964810604568978518349799533343769
Found prime factor of 45 digits: 110107425557964810604568978518349799533343769
Composite cofactor 1942829338006610290512203647973051380007562418045468477872138598914922709844843973683299381431803581321396563317860101879814148748110046592879674164513139061909183 has 163 digits

230992756308621435524283599763178025139390813268422702891457589859006287087943164690706118351734983571024556797946578848155950274010144127506658331545773472567982983960271966687790529803<186>

6387320926380393783490308594775232518588669<43>
3965170698113335942137811327761419022102113461283<49>
9120480841491980646072604313013947060152410206752746517486443044489569002383048931370815670189<94>

Number: 34444_219
N = 230992756308621435524283599763178025139390813268422702891457589859006287087943164690706118351734983571024556797946578848155950274010144127506658331545773472567982983960271966687790529803 (186 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=6387320926380393783490308594775232518588669 (pp43)
r2=3965170698113335942137811327761419022102113461283 (pp49)
r3=9120480841491980646072604313013947060152410206752746517486443044489569002383048931370815670189 (pp94)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 34.87 hours.
Factorization parameters were as follows:
n: 230992756308621435524283599763178025139390813268422702891457589859006287087943164690706118351734983571024556797946578848155950274010144127506658331545773472567982983960271966687790529803
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 31
c0: -40
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: 0
Relations: 7053834 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 13.08 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 6247407 x 6247632
Matrix solve time: 21.13 hours.
time per square root: 0.31 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 34.87 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_Factory, Msieve

18373329807988178115908305958565427160232970591188557409325940292602629558971870015652130242062055592617783647427262152018401130096514787297346477881850942037020121529530143095564771178157684701<194>

125623904864930148674574959865714541166687<42>

146256636646847113080545115938249445250487727062034536798236053918433686370711811975495528733696357920840024808959367627818998937276218102546177207910723<153>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3551537940
Step 1 took 85993ms
Step 2 took 31760ms
********** Factor found in step 2: 125623904864930148674574959865714541166687
Found prime factor of 42 digits: 125623904864930148674574959865714541166687
Composite cofactor 146256636646847113080545115938249445250487727062034536798236053918433686370711811975495528733696357920840024808959367627818998937276218102546177207910723 has 153 digits

146256636646847113080545115938249445250487727062034536798236053918433686370711811975495528733696357920840024808959367627818998937276218102546177207910723<153>

11892902980606553235533943072626638931117946551<47>
12297807935147877401376578903328106373730466356970314923341175044376195069882085487160132576894614144687573<107>

Number: 34444_220
N = 146256636646847113080545115938249445250487727062034536798236053918433686370711811975495528733696357920840024808959367627818998937276218102546177207910723 (153 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=11892902980606553235533943072626638931117946551 (pp47)
r2=12297807935147877401376578903328106373730466356970314923341175044376195069882085487160132576894614144687573 (pp107)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 34.81 hours.
Factorization parameters were as follows:
n: 146256636646847113080545115938249445250487727062034536798236053918433686370711811975495528733696357920840024808959367627818998937276218102546177207910723
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 31
c0: -4
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: 31684658
Relations: 7844332 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 16.99 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 6793839 x 6794064
Matrix solve time: 17.32 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 34.81 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

10791743728419906720623157335867429708394969855457055481217847305014043261301716281325525235211624493158793379450422861597529813027539597031276241778449288809467224979965301828571159623271505553661082350069712575761<215>

12528496414283972063211186958418588921163313127838037435907728154013233366027136346032279483029773241449<104>
861375808522085598058497905434850624512653122281086417309081976738994389004915340721646447218211760858001053289<111>

Number: 34444_221
N = 10791743728419906720623157335867429708394969855457055481217847305014043261301716281325525235211624493158793379450422861597529813027539597031276241778449288809467224979965301828571159623271505553661082350069712575761 (215 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=12528496414283972063211186958418588921163313127838037435907728154013233366027136346032279483029773241449 (pp104)
r2=861375808522085598058497905434850624512653122281086417309081976738994389004915340721646447218211760858001053289 (pp111)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 52.52 hours.
Factorization parameters were as follows:
n: 10791743728419906720623157335867429708394969855457055481217847305014043261301716281325525235211624493158793379450422861597529813027539597031276241778449288809467224979965301828571159623271505553661082350069712575761
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 155
c0: -2
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: 30859401
Relations: 7571348 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 13.10 hours.
Total relation processing time: 0.41 hours.
Pruned matrix : 6490393 x 6490618
Matrix solve time: 38.82 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 52.52 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

10851206510292870964055611458155911634229104032884532654030000482489412668598276103486670884484825393014766919956509369905900001528465903562145029191948270004101<161>

80139246918240958012600308860300975724792839697714284439729520629658118047512642162018717154234842357419996494289683481088058067211069979496934247138823493658966694740654861640011555700580085907<194>

64670800591132840500109731745519147980977605544832719586574174904892200033879154890322494507154259469265514942292784324131721486644019369530623501619273400607655186973715283253934279446284433029005062680608856812171795687<221>

623897218847606249183231701028476305193<39>

103656177071257940836126448563632719358725906391901341021875427636697826038064062900317396632388264611665541596148538410315664713449571053709098931423432166087331686816610140598390159<183>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1903820604
Step 1 took 8385ms
Step 2 took 3777ms
********** Factor found in step 2: 623897218847606249183231701028476305193
Found prime factor of 39 digits: 623897218847606249183231701028476305193
Composite cofactor 103656177071257940836126448563632719358725906391901341021875427636697826038064062900317396632388264611665541596148538410315664713449571053709098931423432166087331686816610140598390159 has 183 digits

103656177071257940836126448563632719358725906391901341021875427636697826038064062900317396632388264611665541596148538410315664713449571053709098931423432166087331686816610140598390159<183>

1500418553982136733282526114340662651230921<43>

69084840890665246848907366963307416010736386658035478798619120072773356386009587050610873734251680168958543454423560014718302361552845699479<140>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3092525034
Step 1 took 164392ms
Step 2 took 44420ms
********** Factor found in step 2: 1500418553982136733282526114340662651230921
Found probable prime factor of 43 digits: 1500418553982136733282526114340662651230921
Composite cofactor 69084840890665246848907366963307416010736386658035478798619120072773356386009587050610873734251680168958543454423560014718302361552845699479 has 140 digits

69084840890665246848907366963307416010736386658035478798619120072773356386009587050610873734251680168958543454423560014718302361552845699479<140>

28182499371266328254538377012533939753631669398204522995696822959833<68>
2451338328108017194026156318895628076295630886577571655168132680147310063<73>

69084840890665246848907366963307416010736386658035478798619120072773356386009587050610873734251680168958543454423560014718302361552845699479=28182499371266328254538377012533939753631669398204522995696822959833*2451338328108017194026156318895628076295630886577571655168132680147310063

cado polynomial
n: 69084840890665246848907366963307416010736386658035478798619120072773356386009587050610873734251680168958543454423560014718302361552845699479
skew: 250958.68
type: gnfs
c0: 255500015852773366664890783741628
c1: 427794917412894133030203868
c2: -9113820860694787441133
c3: -23812563406792423
c4: 11987794500
c5: 293400
Y0: -859537679000868833902938051
Y1: 106410480362428828637
# f(x) = 293400*x^5+11987794500*x^4-23812563406792423*x^3-9113820860694787441133*x^2+427794917412894133030203868*x+255500015852773366664890783741628
# g(x) = 106410480362428828637*x-859537679000868833902938051

cado parameters (extracts)
tasks.lim0 = 9457107
tasks.lim1 = 12662444
tasks.lpb0 = 28
tasks.lpb1 = 29
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 28182499371266328254538377012533939753631669398204522995696822959833 2451338328108017194026156318895628076295630886577571655168132680147310063
Info:Square Root: Total cpu/real time for sqrt: 7066.97/708.024
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): 66400/42.080/50.325/55.240/0.939
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54178/40.950/45.011/51.010/1.114
Info:Polynomial Selection (size optimized): Total time: 45244.4
Info:Generate Factor Base: Total cpu/real time for makefb: 13.84/1.58254
Info:Generate Free Relations: Total cpu/real time for freerel: 667.56/56.6237
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 936.85/738.168
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 632.5999999999999s
Info:Quadratic Characters: Total cpu/real time for characters: 82.02/19.1922
Info:Square Root: Total cpu/real time for sqrt: 7066.97/708.024
Info:Linear Algebra: Total cpu/real time for bwc: 79368.6/14615.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 51174.56, WCT time 9436.49, iteration CPU time 0.14, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (60160 iterations)
Info:Linear Algebra: Lingen CPU time 991.06, WCT time 86.38
Info:Linear Algebra: Mksol: CPU time 26886.1,  WCT time 4998.45, iteration CPU time 0.15, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (30208 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33545697
Info:Lattice Sieving: Average J: 3815.16 for 936007 special-q, max bucket fill -bkmult 1.0,1s:1.080260
Info:Lattice Sieving: Total time: 723679s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 507.69/566.905
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 316.08/292.337
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 291.9s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 16750.5
Info:Polynomial Selection (root optimized): Rootsieve time: 16746.2
Info:Filtering - Merging: Merged matrix has 1920093 rows and total weight 328501310 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 566.79/66.8618
Info:Filtering - Merging: Total cpu/real time for replay: 70.77/54.6765
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.5023e+06/142919
Info:root: Cleaning up computation data in /tmp/cado.p612crys
28182499371266328254538377012533939753631669398204522995696822959833 2451338328108017194026156318895628076295630886577571655168132680147310063

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)

12692044705500075455731857798150869772560177844119814615140610877421683084869791776320931162021396560023210518371235646409356425290580938836546753500130518204168356407018349670730094501401404171<194>

3806199103948271195298600232411458259258285852802857431767617526015563380205933923236143786000737447323387855735584712712559738786516033347991274548336681643566323860505870174039561793<184>

7818434209595942171825271472750970084213<40>

486823704326467194762354949703831962352324935310507990003194127431414875866462205553746497410530333971123337410380342209567839854022167086469661<144>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3365209391
Step 1 took 75744ms
********** Factor found in step 1: 7818434209595942171825271472750970084213
Found prime factor of 40 digits: 7818434209595942171825271472750970084213
Composite cofactor 486823704326467194762354949703831962352324935310507990003194127431414875866462205553746497410530333971123337410380342209567839854022167086469661 has 144 digits

486823704326467194762354949703831962352324935310507990003194127431414875866462205553746497410530333971123337410380342209567839854022167086469661<144>

411517910250028617028258800054858975233467520693<48>
1182995180041336587137904971697566135990403354673391180934484038868955662828070671743554791999177<97>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:997632948
Step 1 took 84438ms
Step 2 took 31656ms
********** Factor found in step 2: 411517910250028617028258800054858975233467520693
Found prime factor of 48 digits: 411517910250028617028258800054858975233467520693
Prime cofactor 1182995180041336587137904971697566135990403354673391180934484038868955662828070671743554791999177 has 97 digits
 

GMP-ECM

16734101615629594714176189991435251826503861439846063638478435922257986059618757107829262270549734567639685957056881402574785012640115685419883759169868875945715271053495608233645501319886747000194244002330097<209>

13776361434661323594376458674711621570355015725815908506585182824920402726902459068400337834946618429668102409472156986497309170008809758885549031580494438985754943575555624607767154360830757654683940074821675349663<215>

286610739830910043011139198545620529659283959308327743368481019569068390281591679790872833443149456000450502011172581765382958767898357926096002283293383299370054923052713412558488236933259034388441<198>

55119408374550241477245936572868370934579444553827290745948878541496481840796883774930101393847372966929751593414452526481181804940085589331013509514549018972089532322467005469456337736003537732018089303285759898993<215>

213506557797970908771841965905642543092681<42>

258162601388134397374285518057155145980970731344647986081388593645962410558353233775369963242631526360176434588984349385159405667936899453774732352556079815816037223003854953<174>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3020275257
Step 1 took 91276ms
********** Factor found in step 1: 213506557797970908771841965905642543092681
Found probable prime factor of 42 digits: 213506557797970908771841965905642543092681
Composite cofactor 258162601388134397374285518057155145980970731344647986081388593645962410558353233775369963242631526360176434588984349385159405667936899453774732352556079815816037223003854953 has 174 digits