1445867342172184705760810971158259926930010316859159400223515859478896396251114513340916808839206129551651<106>

26346827839043074514205685753983233585088179<44>
54878232438653194805128482373162941095609473436610719028898769<62>

N=1445867342172184705760810971158259926930010316859159400223515859478896396251114513340916808839206129551651
  ( 106 digits)
SNFS difficulty: 119 digits.
Divisors found:
p44 factor: 26346827839043074514205685753983233585088179
p62 factor: 54878232438653194805128482373162941095609473436610719028898769
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.83 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1445867342172184705760810971158259926930010316859159400223515859478896396251114513340916808839206129551651
m: 100000000000000000000000000000
deg: 4
c4: 1865
c0: -2
skew: 0.18
# Murphy_E = 5.043e-08
type: snfs
lss: 1
rlim: 680000
alim: 680000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2

Factor base limits: 680000/680000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [340000, 540001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 54789 x 55015
Total sieving time: 0.81 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,119.000,4,0,0,0,0,0,0,0,0,680000,680000,25,25,45,45,2.2,2.2,50000
total time: 0.83 hours.
 --------- CPU info (if available) ----------

237869160483728089257838815995828917271253114818314247239894872297009677368151<78>

41433969019388042405217268102127407<35>
5740921425423252626768930340524244237179993<43>

prp35 = 41433969019388042405217268102127407
prp43 = 5740921425423252626768930340524244237179993

Yafu

2427571813081934323323358576840245950802165331519147382959142395620142165353882252890557555891179279179824179571<112>

4251618762293840053230581385113073889<37>
570975891491316816466285831703120430841352832661720396716194369639597181139<75>

N=2427571813081934323323358576840245950802165331519147382959142395620142165353882252890557555891179279179824179571
  ( 112 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=4251618762293840053230581385113073889 (pp37)
 r2=570975891491316816466285831703120430841352832661720396716194369639597181139 (pp75)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.07 hours.
Scaled time: 15.59 units (timescale=7.541).
Factorization parameters were as follows:
n: 2427571813081934323323358576840245950802165331519147382959142395620142165353882252890557555891179279179824179571
m: 100000000000000000000000000000000
deg: 4
c4: 373
c0: -4
skew: 0.32
# Murphy_E = 1.417e-08
type: snfs
lss: 1
rlim: 1050000
alim: 1050000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1050000/1050000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [525000, 1025001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 121511 x 121736
Total sieving time: 2.05 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,130.000,4,0,0,0,0,0,0,0,0,1050000,1050000,26,26,47,47,2.3,2.3,100000
total time: 2.07 hours.

GNFS, Msieve

463467234317091877181410251082846940133863616271146228626425053550401784623120828303315367263559283130759285763<111>

37096153912294006409119948858321160461<38>
12493673479273940993483006063661030005838807093188321356691317278580917583<74>

N=463467234317091877181410251082846940133863616271146228626425053550401784623120828303315367263559283130759285763
  ( 111 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=37096153912294006409119948858321160461 (pp38)
 r2=12493673479273940993483006063661030005838807093188321356691317278580917583 (pp74)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.32 hours.
Scaled time: 18.07 units (timescale=7.776).
Factorization parameters were as follows:
n: 463467234317091877181410251082846940133863616271146228626425053550401784623120828303315367263559283130759285763
m: 100000000000000000000000000000000
deg: 4
c4: 9325
c0: -1
skew: 0.10
# Murphy_E = 9.817e-09
type: snfs
lss: 1
rlim: 1110000
alim: 1110000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1110000/1110000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [555000, 1155001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 173406 x 173631
Total sieving time: 2.30 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,131.000,4,0,0,0,0,0,0,0,0,1110000,1110000,26,26,47,47,2.3,2.3,100000
total time: 2.32 hours.

GNFS, Msieve

228544277183596838852508021977018950633137980234013880346068979542579232494159770719286285742505306213834201700503<114>

11064271172606875295872085761123324208329<41>
20656062529399219319262954030489795248832069344057727461809674851475251807<74>

N=228544277183596838852508021977018950633137980234013880346068979542579232494159770719286285742505306213834201700503
  ( 114 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=11064271172606875295872085761123324208329 (pp41)
 r2=20656062529399219319262954030489795248832069344057727461809674851475251807 (pp74)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.75 hours.
Scaled time: 21.69 units (timescale=7.886).
Factorization parameters were as follows:
n: 228544277183596838852508021977018950633137980234013880346068979542579232494159770719286285742505306213834201700503
m: 1000000000000000000000000000000000
deg: 4
c4: 373
c0: -4
skew: 0.32
# Murphy_E = 9.023e-09
type: snfs
lss: 1
rlim: 1220000
alim: 1220000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1220000/1220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [610000, 1310001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 162911 x 163141
Total sieving time: 2.72 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1220000,1220000,26,26,47,47,2.3,2.3,100000
total time: 2.75 hours.

GNFS, Msieve

506144807466893832646283282158342624283551977652472496493480472965507311416356768500975315969303551187912299910823192304573<123>

1842427979433721837659718861870282297<37>
157696722685637214778528560550760198225521<42>
1742053938498707440834535154177196469693376629<46>

N=506144807466893832646283282158342624283551977652472496493480472965507311416356768500975315969303551187912299910823192304573
  ( 123 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=1842427979433721837659718861870282297 (pp37)
 r2=157696722685637214778528560550760198225521 (pp42)
 r3=1742053938498707440834535154177196469693376629 (pp46)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.40 hours.
Scaled time: 26.70 units (timescale=7.849).
Factorization parameters were as follows:
n: 506144807466893832646283282158342624283551977652472496493480472965507311416356768500975315969303551187912299910823192304573
m: 1000000000000000000000000000000000
deg: 4
c4: 9325
c0: -1
skew: 0.10
# Murphy_E = 6.244e-09
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1545001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 208796 x 209021
Total sieving time: 3.36 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,135.000,4,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,100000
total time: 3.40 hours.

GNFS, Msieve

102554032382501582131360005132587803495413648648194803446171568399573543064080291353454746639725798861672997048462749683<120>

37223088149263436534944501640067371513965151<44>
2755118865239312553635624287120086343317596075921401274522096826223937194733<76>

N=102554032382501582131360005132587803495413648648194803446171568399573543064080291353454746639725798861672997048462749683
  ( 120 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=37223088149263436534944501640067371513965151 (pp44)
 r2=2755118865239312553635624287120086343317596075921401274522096826223937194733 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.02 hours.
Scaled time: 47.44 units (timescale=7.880).
Factorization parameters were as follows:
n: 102554032382501582131360005132587803495413648648194803446171568399573543064080291353454746639725798861672997048462749683
m: 100000000000000000000000000000000000
deg: 4
c4: 373
c0: -4
skew: 0.32
# Murphy_E = 3.608e-09
type: snfs
lss: 1
rlim: 1660000
alim: 1660000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1660000/1660000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [830000, 1430001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 202113 x 202338
Total sieving time: 5.99 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,142.000,4,0,0,0,0,0,0,0,0,1660000,1660000,26,26,48,48,2.3,2.3,100000
total time: 6.02 hours.

GNFS, Msieve

31277641848034947339390602333061444534988161277383415119523415715061962254982219097400033<89>

19723867521294095029563078093739937233255303<44>
1585776309553249427787621904301007607664973911<46>

prp46 = 1585776309553249427787621904301007607664973911
prp44 = 19723867521294095029563078093739937233255303

Yafu

633690384709392752029348158580596145916130241928181133924063129389738330553761773370447789165811723043736576890771237106660413<126>

98308283455970086680542117677910473553309<41>
6445951067726733513792082643929389885179244228121173312022259539689302310294577940257<85>

N=633690384709392752029348158580596145916130241928181133924063129389738330553761773370447789165811723043736576890771237106660413
  ( 126 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=98308283455970086680542117677910473553309 (pp41)
 r2=6445951067726733513792082643929389885179244228121173312022259539689302310294577940257 (pp85)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.66 hours.
Scaled time: 60.01 units (timescale=7.831).
Factorization parameters were as follows:
n: 633690384709392752029348158580596145916130241928181133924063129389738330553761773370447789165811723043736576890771237106660413
m: 100000000000000000000000000000000000
deg: 4
c4: 9325
c0: -1
skew: 0.10
# Murphy_E = 2.491e-09
type: snfs
lss: 1
rlim: 1760000
alim: 1760000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1760000/1760000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [880000, 1680001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 295365 x 295590
Total sieving time: 7.62 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,143.000,4,0,0,0,0,0,0,0,0,1760000,1760000,26,26,48,48,2.3,2.3,100000
total time: 7.66 hours.

GNFS, Msieve

2893922225298451245860423477889157586392878844436919214364921149099907650814458270089915302157130236136500986450565029821<121>

84204621935376533561440115218863980867297<41>
34367736102650202342328924939756069752436095123881821844946859684758900156569693<80>

N=2893922225298451245860423477889157586392878844436919214364921149099907650814458270089915302157130236136500986450565029821
  ( 121 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=84204621935376533561440115218863980867297 (pp41)
 r2=34367736102650202342328924939756069752436095123881821844946859684758900156569693 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.00 hours.
Scaled time: 55.16 units (timescale=7.874).
Factorization parameters were as follows:
n: 2893922225298451245860423477889157586392878844436919214364921149099907650814458270089915302157130236136500986450565029821
m: 500000000000000000000000000000000000
deg: 4
c4: 746
c0: -5
skew: 0.29
# Murphy_E = 2.624e-09
type: snfs
lss: 1
rlim: 1870000
alim: 1870000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1870000/1870000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [935000, 1635001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 277222 x 277447
Total sieving time: 6.96 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,145.000,4,0,0,0,0,0,0,0,0,1870000,1870000,26,26,49,49,2.3,2.3,100000
total time: 7.00 hours.

GNFS, Msieve

77234639988793900385026166578998274444615149993347646325877475480769008784767410409365681509619428453248787674113090773598827948289333<134>

38942762468303807792809072601626924259<38>
1983286112577568635793038203530966232944822599030695053951997337216180993034408495868268506753287<97>

N=77234639988793900385026166578998274444615149993347646325877475480769008784767410409365681509619428453248787674113090773598827948289333
  ( 134 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=38942762468303807792809072601626924259 (pp38)
 r2=1983286112577568635793038203530966232944822599030695053951997337216180993034408495868268506753287 (pp97)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.02 hours.
Scaled time: 78.94 units (timescale=7.880).
Factorization parameters were as follows:
n: 77234639988793900385026166578998274444615149993347646325877475480769008784767410409365681509619428453248787674113090773598827948289333
m: 5000000000000000000000000000000000000
deg: 4
c4: 746
c0: -5
skew: 0.29
# Murphy_E = 1.643e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor 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, 2100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 318831 x 319056
Total sieving time: 9.96 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 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: 10.02 hours.

GNFS, Msieve

574013331725904257238047716982166176937394851842167868244629198112433576355533812607679994722804015552971867735909<114>

499687291308155581400945498311136261791<39>
1148745108612162082009355380882440631122330950736914072621155011830923384699<76>

N=574013331725904257238047716982166176937394851842167868244629198112433576355533812607679994722804015552971867735909
  ( 114 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=499687291308155581400945498311136261791 (pp39)
 r2=1148745108612162082009355380882440631122330950736914072621155011830923384699 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.01 hours.
Scaled time: 71.04 units (timescale=7.886).
Factorization parameters were as follows:
n: 574013331725904257238047716982166176937394851842167868244629198112433576355533812607679994722804015552971867735909
m: 1000000000000000000000000000000
deg: 5
c5: 373
c0: -4
skew: 0.40
# Murphy_E = 1.148e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 1900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 443299 x 443525
Total sieving time: 8.90 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.04 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: 9.01 hours.

GNFS, Msieve

2251226224214406544175818233218345767586060214084974917839296004743387973551169949594260230163437816786156684862368599003376718627140686791784146877<148>

7256525760277049041914620920187569393001242904865622417151<58>
310234718181232820805841837540629362035221570210457301697871716648821582051156224392213827<90>

N=2251226224214406544175818233218345767586060214084974917839296004743387973551169949594260230163437816786156684862368599003376718627140686791784146877
  ( 148 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=7256525760277049041914620920187569393001242904865622417151 (pp58)
 r2=310234718181232820805841837540629362035221570210457301697871716648821582051156224392213827 (pp90)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.40 hours.
Scaled time: 81.73 units (timescale=7.862).
Factorization parameters were as follows:
n: 2251226224214406544175818233218345767586060214084974917839296004743387973551169949594260230163437816786156684862368599003376718627140686791784146877
m: 1000000000000000000000000000000
deg: 5
c5: 9325
c0: -1
skew: 0.16
# Murphy_E = 9.363e-10
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 438123 x 438350
Total sieving time: 10.32 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 10.40 hours.

GNFS, Msieve

107060341680792240243911592934695295813245830610088265859706834863382752211071504219049<87>

7337807840507128880918017027240297425421<40>
14590235123054559389173945413425613370239565069<47>

107060341680792240243911592934695295813245830610088265859706834863382752211071504219049=7337807840507128880918017027240297425421*14590235123054559389173945413425613370239565069

Fri Feb 25 14:53:25 2022  Msieve v. 1.53 (SVN 1005)
Fri Feb 25 14:53:25 2022  random seeds: 61f48f90 ac94300e
Fri Feb 25 14:53:25 2022  factoring 107060341680792240243911592934695295813245830610088265859706834863382752211071504219049 (87 digits)
Fri Feb 25 14:53:26 2022  searching for 15-digit factors
Fri Feb 25 14:53:26 2022  commencing quadratic sieve (87-digit input)
Fri Feb 25 14:53:26 2022  using multiplier of 1
Fri Feb 25 14:53:26 2022  using generic 32kb sieve core
Fri Feb 25 14:53:26 2022  sieve interval: 17 blocks of size 32768
Fri Feb 25 14:53:26 2022  processing polynomials in batches of 12
Fri Feb 25 14:53:26 2022  using a sieve bound of 1470941 (55947 primes)
Fri Feb 25 14:53:26 2022  using large prime bound of 117675280 (26 bits)
Fri Feb 25 14:53:26 2022  using double large prime bound of 336692393460720 (41-49 bits)
Fri Feb 25 14:53:26 2022  using trial factoring cutoff of 49 bits
Fri Feb 25 14:53:26 2022  polynomial 'A' values have 11 factors
Fri Feb 25 15:04:36 2022  56273 relations (16121 full + 40152 combined from 586309 partial), need 56043
Fri Feb 25 15:04:36 2022  begin with 602430 relations
Fri Feb 25 15:04:36 2022  reduce to 133627 relations in 9 passes
Fri Feb 25 15:04:36 2022  attempting to read 133627 relations
Fri Feb 25 15:04:36 2022  recovered 133627 relations
Fri Feb 25 15:04:36 2022  recovered 111427 polynomials
Fri Feb 25 15:04:36 2022  attempting to build 56273 cycles
Fri Feb 25 15:04:36 2022  found 56273 cycles in 5 passes
Fri Feb 25 15:04:36 2022  distribution of cycle lengths:
Fri Feb 25 15:04:36 2022     length 1 : 16121
Fri Feb 25 15:04:36 2022     length 2 : 11130
Fri Feb 25 15:04:36 2022     length 3 : 9933
Fri Feb 25 15:04:36 2022     length 4 : 7306
Fri Feb 25 15:04:36 2022     length 5 : 4897
Fri Feb 25 15:04:36 2022     length 6 : 3015
Fri Feb 25 15:04:36 2022     length 7 : 1788
Fri Feb 25 15:04:36 2022     length 9+: 2083
Fri Feb 25 15:04:36 2022  largest cycle: 20 relations
Fri Feb 25 15:04:36 2022  matrix is 55947 x 56273 (13.3 MB) with weight 3034485 (53.92/col)
Fri Feb 25 15:04:36 2022  sparse part has weight 3034485 (53.92/col)
Fri Feb 25 15:04:37 2022  filtering completed in 3 passes
Fri Feb 25 15:04:37 2022  matrix is 51066 x 51130 (12.2 MB) with weight 2778631 (54.34/col)
Fri Feb 25 15:04:37 2022  sparse part has weight 2778631 (54.34/col)
Fri Feb 25 15:04:37 2022  saving the first 48 matrix rows for later
Fri Feb 25 15:04:37 2022  matrix includes 64 packed rows
Fri Feb 25 15:04:37 2022  matrix is 51018 x 51130 (7.7 MB) with weight 2143519 (41.92/col)
Fri Feb 25 15:04:37 2022  sparse part has weight 1519594 (29.72/col)
Fri Feb 25 15:04:37 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Fri Feb 25 15:04:37 2022  commencing Lanczos iteration
Fri Feb 25 15:04:37 2022  memory use: 4.8 MB
Fri Feb 25 15:04:40 2022  lanczos halted after 808 iterations (dim = 51016)
Fri Feb 25 15:04:40 2022  recovered 15 nontrivial dependencies
Fri Feb 25 15:04:40 2022  p40 factor: 7337807840507128880918017027240297425421
Fri Feb 25 15:04:40 2022  p47 factor: 14590235123054559389173945413425613370239565069
Fri Feb 25 15:04:40 2022  elapsed time 00:11:15

Msieve 1.53

Windows 10 Business
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

609477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183<156>

1533097162570147339794635540767445200256889225643<49>
397546312825505421713829055740070375869565281008372441753267092547925505279961561818491607326746951512779781<108>

N=609477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183
  ( 156 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=1533097162570147339794635540767445200256889225643 (pp49)
 r2=397546312825505421713829055740070375869565281008372441753267092547925505279961561818491607326746951512779781 (pp108)
Version: Msieve v. 1.52 (SVN 927)
Total time: 14.69 hours.
Scaled time: 116.01 units (timescale=7.899).
Factorization parameters were as follows:
n: 609477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183
m: 10000000000000000000000000000000
deg: 5
c5: 1865
c0: -2
skew: 0.25
# Murphy_E = 6.344e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 510139 x 510367
Total sieving time: 14.59 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 14.69 hours.

GNFS, Msieve

7122563654029947026950816135286374485282130966071780541482507953453563627604186401431992009580389595535250873893<112>

44796622348933999313194554332502831331<38>
158997783327283352048935082865896757153309571903137780106225937327697922903<75>

158997783327283352048935082865896757153309571903137780106225937327697922903 44796622348933999313194554332502831331

n: 7122563654029947026950816135286374485282130966071780541482507953453563627604186401431992009580389595535250873893
skew: 10835.832
c0: -9023969131930497823354503
c1: 821690381407763373122
c2: 75527493529100079
c3: -15184006217207
c4: 448903539
c5: 75060
Y0: -3076254761399671739568
Y1: 22483721183661991
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.285e-06
# f(x) = 75060*x^5+448903539*x^4-15184006217207*x^3+75527493529100079*x^2+821690381407763373122*x-9023969131930497823354503
# g(x) = 22483721183661991*x-3076254761399671739568

cado-nfs 3.0.0

437362968917759277501976354635225045359471572896978157894611295467840651056446914601163587514509702064949843648385380767535269<126>

2860223103963597911769906175645216995755571887519<49>
152912186574423811244451474286392673549469797292162347704657432338615069672251<78>

Fri Mar  4 22:00:06 2022  Msieve v. 1.53 (SVN 998)
Fri Mar  4 22:00:06 2022  random seeds: 77fac2d0 fb918fc2
Fri Mar  4 22:00:06 2022  factoring 437362968917759277501976354635225045359471572896978157894611295467840651056446914601163587514509702064949843648385380767535269 (126 digits)
Fri Mar  4 22:00:06 2022  searching for 15-digit factors
Fri Mar  4 22:00:06 2022  commencing number field sieve (126-digit input)
Fri Mar  4 22:00:06 2022  R0: -100000000000000000000000000000000
Fri Mar  4 22:00:06 2022  R1: 1
Fri Mar  4 22:00:06 2022  A0: -4
Fri Mar  4 22:00:06 2022  A1: 0
Fri Mar  4 22:00:06 2022  A2: 0
Fri Mar  4 22:00:06 2022  A3: 0
Fri Mar  4 22:00:06 2022  A4: 0
Fri Mar  4 22:00:06 2022  A5: 373
Fri Mar  4 22:00:06 2022  skew 0.40, size 1.865e-11, alpha 0.693, combined = 4.727e-10 rroots = 1
Fri Mar  4 22:00:06 2022  
Fri Mar  4 22:12:46 2022  p49 factor: 2860223103963597911769906175645216995755571887519
Fri Mar  4 22:12:46 2022  p78 factor: 152912186574423811244451474286392673549469797292162347704657432338615069672251

191823567493844551367614801675927659456706958196066392124915198815589454077590821816880324971679397897026590163928510261274191441340407653<138>

19249194771141315321040487689663033458879569<44>
9965277497291956980989885017446609297106450977706901125030531376328054724151419577786661044437<94>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3590775208
Step 1 took 5891ms
Step 2 took 3390ms
********** Factor found in step 2: 19249194771141315321040487689663033458879569
Found prime factor of 44 digits: 19249194771141315321040487689663033458879569
Prime cofactor 9965277497291956980989885017446609297106450977706901125030531376328054724151419577786661044437 has 94 digits
 

GMP-ECM

408767404459973376592892248512872321307767398272284321617581077452689111137062091118669018812409884688427759160133084936779641<126>

196782540577475201476903655936409807008001234482609<51>
2077254431518215260526263778676986798681505199616288212786749457040666290249<76>

N=408767404459973376592892248512872321307767398272284321617581077452689111137062091118669018812409884688427759160133084936779641
  ( 126 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=196782540577475201476903655936409807008001234482609 (pp51)
 r2=2077254431518215260526263778676986798681505199616288212786749457040666290249 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 26.16 hours.
Scaled time: 203.45 units (timescale=7.776).
Factorization parameters were as follows:
n: 408767404459973376592892248512872321307767398272284321617581077452689111137062091118669018812409884688427759160133084936779641
m: 1000000000000000000000000000000000
deg: 5
c5: 373
c0: -4
skew: 0.40
# Murphy_E = 3.011e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2150000, 4250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 785436 x 785661
Total sieving time: 26.01 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 26.16 hours.

GNFS, Msieve

3344027965056505443107289041893060326512435127797094303548635999115834743426988852244253187815016235424213866952174357461149399323<130>

4529490846820526369028723936261675462246049817261<49>
738278998268391258677899179498451975176998905367694970094089844134963999000071143<81>

N=3344027965056505443107289041893060326512435127797094303548635999115834743426988852244253187815016235424213866952174357461149399323
  ( 130 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=4529490846820526369028723936261675462246049817261 (pp49)
 r2=738278998268391258677899179498451975176998905367694970094089844134963999000071143 (pp81)
Version: Msieve v. 1.52 (SVN 927)
Total time: 31.72 hours.
Scaled time: 248.59 units (timescale=7.837).
Factorization parameters were as follows:
n: 3344027965056505443107289041893060326512435127797094303548635999115834743426988852244253187815016235424213866952174357461149399323
m: 1000000000000000000000000000000000
deg: 5
c5: 1865
c0: -2
skew: 0.25
# Murphy_E = 2.584e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2250000, 4650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 849347 x 849572
Total sieving time: 31.49 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 31.72 hours.

GNFS, Msieve

319225711201087710620387214790009214038498143558367087481227700977908443896319691484278888054557831428107165085241150536006790913031204707637755442912116185029714219<165>

16174865839259022367069578435582162785713<41>
24452851691055196403872847087050944535086367963<47>
807100585255060143625865334326112813466490807001294004243910914730180775566401<78>

Number: n
N=319225711201087710620387214790009214038498143558367087481227700977908443896319691484278888054557831428107165085241150536006790913031204707637755442912116185029714219  ( 165 digits)
SNFS difficulty: 173 digits.
Divisors found:

Mon Feb 28 18:38:31 2022  found factor: 16174865839259022367069578435582162785713
Mon Feb 28 18:39:24 2022  p41 factor: 16174865839259022367069578435582162785713
Mon Feb 28 18:39:24 2022  p47 factor: 24452851691055196403872847087050944535086367963
Mon Feb 28 18:39:24 2022  p78 factor: 807100585255060143625865334326112813466490807001294004243910914730180775566401
Mon Feb 28 18:39:24 2022  elapsed time 00:20:31 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 373x10^172-4 = 414(172)
#
n: 319225711201087710620387214790009214038498143558367087481227700977908443896319691484278888054557831428107165085241150536006790913031204707637755442912116185029714219
m: 10000000000000000000000000000000000
deg: 5
c5: 9325
c0: -1
skew: 0.16
# Murphy_E = 1.551e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 30000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3388560 hash collisions in 23936794 relations (21370224 unique)
Msieve: matrix is 1041423 x 1041667 (182.6 MB)

Sieving start time : 2022/02/28 12:42:43
Sieving end time  : 2022/02/28 16:04:41

Total sieving time: 3hrs 21min 58secs.

Total relation processing time: 0hrs 11min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 47sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117462] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154119] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798724)
[    0.152036] smpboot: Total of 16 processors activated (102389.79 BogoMIPS)

5486933892481297475866454389431697924113386456214790157142071561096539209717882580432647320427518547084749124958743158067770896220729170897<139>

37551840105891411320786613861692075794811447821279<50>
146116245622287536643416632132784963323670923458897949086367436932673257433645752126232143<90>

Tue Apr 19 07:54:52 2022  Msieve v. 1.53 (SVN unknown)
Tue Apr 19 07:54:52 2022  random seeds: 8c9d8a90 34fce91b
Tue Apr 19 07:54:52 2022  factoring 5486933892481297475866454389431697924113386456214790157142071561096539209717882580432647320427518547084749124958743158067770896220729170897 (139 digits)
Tue Apr 19 07:54:53 2022  searching for 15-digit factors
Tue Apr 19 07:54:53 2022  commencing number field sieve (139-digit input)
Tue Apr 19 07:54:53 2022  R0: -10000000000000000000000000000000000
Tue Apr 19 07:54:53 2022  R1: 1
Tue Apr 19 07:54:53 2022  A0: -1
Tue Apr 19 07:54:53 2022  A1: 0
Tue Apr 19 07:54:53 2022  A2: 0
Tue Apr 19 07:54:53 2022  A3: 0
Tue Apr 19 07:54:53 2022  A4: 0
Tue Apr 19 07:54:53 2022  A5: 93250
Tue Apr 19 07:54:53 2022  skew 0.10, size 1.400e-12, alpha 1.097, combined = 1.048e-10 rroots = 1
Tue Apr 19 07:54:53 2022  
Tue Apr 19 07:54:53 2022  commencing square root phase
Tue Apr 19 07:54:53 2022  reading relations for dependency 1
Tue Apr 19 07:54:53 2022  read 557399 cycles
Tue Apr 19 07:54:54 2022  cycles contain 1768422 unique relations
Tue Apr 19 07:55:14 2022  read 1768422 relations
Tue Apr 19 07:55:22 2022  multiplying 1768422 relations
Tue Apr 19 07:56:22 2022  multiply complete, coefficients have about 65.34 million bits
Tue Apr 19 07:56:22 2022  initial square root is modulo 2401825241
Tue Apr 19 07:57:48 2022  Newton iteration failed to converge
Tue Apr 19 07:57:48 2022  algebraic square root failed
Tue Apr 19 07:57:48 2022  reading relations for dependency 2
Tue Apr 19 07:57:48 2022  read 556846 cycles
Tue Apr 19 07:57:49 2022  cycles contain 1766610 unique relations
Tue Apr 19 07:58:09 2022  read 1766610 relations
Tue Apr 19 07:58:16 2022  multiplying 1766610 relations
Tue Apr 19 07:59:17 2022  multiply complete, coefficients have about 65.27 million bits
Tue Apr 19 07:59:17 2022  initial square root is modulo 2348636231
Tue Apr 19 08:00:43 2022  Newton iteration failed to converge
Tue Apr 19 08:00:43 2022  algebraic square root failed
Tue Apr 19 08:00:43 2022  reading relations for dependency 3
Tue Apr 19 08:00:43 2022  read 558380 cycles
Tue Apr 19 08:00:44 2022  cycles contain 1769872 unique relations
Tue Apr 19 08:01:04 2022  read 1769872 relations
Tue Apr 19 08:01:11 2022  multiplying 1769872 relations
Tue Apr 19 08:02:11 2022  multiply complete, coefficients have about 65.40 million bits
Tue Apr 19 08:02:12 2022  initial square root is modulo 2445913201
Tue Apr 19 08:03:38 2022  GCD is 1, no factor found
Tue Apr 19 08:03:38 2022  reading relations for dependency 4
Tue Apr 19 08:03:38 2022  read 557357 cycles
Tue Apr 19 08:03:39 2022  cycles contain 1769470 unique relations
Tue Apr 19 08:03:59 2022  read 1769470 relations
Tue Apr 19 08:04:06 2022  multiplying 1769470 relations
Tue Apr 19 08:05:08 2022  multiply complete, coefficients have about 65.38 million bits
Tue Apr 19 08:05:08 2022  initial square root is modulo 2433066751
Tue Apr 19 08:06:34 2022  GCD is N, no factor found
Tue Apr 19 08:06:34 2022  reading relations for dependency 5
Tue Apr 19 08:06:34 2022  read 558764 cycles
Tue Apr 19 08:06:35 2022  cycles contain 1771418 unique relations
Tue Apr 19 08:06:55 2022  read 1771418 relations
Tue Apr 19 08:07:02 2022  multiplying 1771418 relations
Tue Apr 19 08:08:03 2022  multiply complete, coefficients have about 65.45 million bits
Tue Apr 19 08:08:03 2022  initial square root is modulo 2493396271
Tue Apr 19 08:09:42 2022  sqrtTime: 889
Tue Apr 19 08:09:42 2022  p50 factor: 37551840105891411320786613861692075794811447821279
Tue Apr 19 08:09:42 2022  p90 factor: 146116245622287536643416632132784963323670923458897949086367436932673257433645752126232143
Tue Apr 19 08:09:42 2022  elapsed time 00:14:50

80543603558239588370002008314933929394495922247863689678686575599677674838648096653803346678894860634320180239943475142375230356259652169780947<143>

1026328582504777798209780808337404390331920883824449355920731232677<67>
78477404732966831473935488347707588396603119780179670871009724826456509279511<77>

Number: n
N=80543603558239588370002008314933929394495922247863689678686575599677674838648096653803346678894860634320180239943475142375230356259652169780947  ( 143 digits)
SNFS difficulty: 177 digits.
Divisors found:

Sat May 14 17:29:55 2022  p67 factor: 1026328582504777798209780808337404390331920883824449355920731232677
Sat May 14 17:29:55 2022  p77 factor: 78477404732966831473935488347707588396603119780179670871009724826456509279511
Sat May 14 17:29:55 2022  elapsed time 00:21:10 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 373x10^175-4 = 414(175)
#
n: 80543603558239588370002008314933929394495922247863689678686575599677674838648096653803346678894860634320180239943475142375230356259652169780947
m: 100000000000000000000000000000000000
deg: 5
c5: 373
c0: -4
skew: 0.40
# Murphy_E = 1.205e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3848467 hash collisions in 30782578 relations (28029034 unique)
Msieve: matrix is 869496 x 869724 (295.7 MB)

Sieving start time : 2022/05/14 15:13:48
Sieving end time  : 2022/05/14 17:08:18

Total sieving time: 1hrs 54min 30secs.

Total relation processing time: 0hrs 12min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 47sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

793083559507362651249356079359886885874215667066087880203401665630992477076958536025687926660532811763446264650288123834763058979336235419252173426069004251<156>

50133717333324041480946412691230627189630704301445911177451779<62>
15819364724829560662897729436004177142863574113480606154859683967371490483607795733568547498569<95>

Number: n
N=793083559507362651249356079359886885874215667066087880203401665630992477076958536025687926660532811763446264650288123834763058979336235419252173426069004251  ( 156 digits)
SNFS difficulty: 178 digits.
Divisors found:

Wed Mar  9 19:47:28 2022  p62 factor: 50133717333324041480946412691230627189630704301445911177451779
Wed Mar  9 19:47:28 2022  p95 factor: 15819364724829560662897729436004177142863574113480606154859683967371490483607795733568547498569
Wed Mar  9 19:47:28 2022  elapsed time 00:24:29 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 373x10^176-4 = 414(176)
#
n: 793083559507362651249356079359886885874215667066087880203401665630992477076958536025687926660532811763446264650288123834763058979336235419252173426069004251
m: 100000000000000000000000000000000000
deg: 5
c5: 1865
c0: -2
skew: 0.25
# Murphy_E = 1.033e-10
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5795699 hash collisions in 38780440 relations (34146563 unique)
Msieve: matrix is 995220 x 995468 (260.0 MB)

Sieving start time : 2022/03/09 17:01:36
Sieving end time  : 2022/03/09 19:22:16

Total sieving time: 2hrs 20min 40secs.

Total relation processing time: 0hrs 12min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 59sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

1117824049100346435549801608707639563179535129044245453782620683041440404694261636758130446769997962143824696419366826098943911005622085565984584217403291737092578607305115019<175>

7758529438323741795522016400146898586631486631219<49>
3897367339327456156794984863545864420177830259993268468177<58>
36967722476628126208665604036965297191173858829263382719809789950713<68>

Number: n
N=1117824049100346435549801608707639563179535129044245453782620683041440404694261636758130446769997962143824696419366826098943911005622085565984584217403291737092578607305115019  ( 175 digits)
SNFS difficulty: 178 digits.
Divisors found:

Wed Mar  2 10:35:10 2022  found factor: 36967722476628126208665604036965297191173858829263382719809789950713
Wed Mar  2 10:36:07 2022  p49 factor: 7758529438323741795522016400146898586631486631219
Wed Mar  2 10:36:07 2022  p58 factor: 3897367339327456156794984863545864420177830259993268468177
Wed Mar  2 10:36:07 2022  p68 factor: 36967722476628126208665604036965297191173858829263382719809789950713
Wed Mar  2 10:36:07 2022  elapsed time 00:22:12 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.307).
Factorization parameters were as follows:
#
# N = 373x10^177-4 = 414(177)
#
n: 1117824049100346435549801608707639563179535129044245453782620683041440404694261636758130446769997962143824696419366826098943911005622085565984584217403291737092578607305115019
m: 100000000000000000000000000000000000
deg: 5
c5: 9325
c0: -1
skew: 0.16
# Murphy_E = 9.778e-11
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5776788 hash collisions in 36053968 relations (32022853 unique)
Msieve: matrix is 888114 x 888341 (298.9 MB)

Sieving start time : 2022/03/02 07:48:58
Sieving end time  : 2022/03/02 10:13:07

Total sieving time: 2hrs 24min 9secs.

Total relation processing time: 0hrs 11min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 54sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119529] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153528] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798128)
[    0.152048] smpboot: Total of 16 processors activated (102385.02 BogoMIPS)

414832993160385516213030454573153086276327347674530937885812111936113953955182239640609274466698321692436154562942529<117>

597380205054200560848526454377809110911838341<45>
694420386967371210056664272059558109108150346978944181590389876812317069<72>

414832993160385516213030454573153086276327347674530937885812111936113953955182239640609274466698321692436154562942529=597380205054200560848526454377809110911838341*694420386967371210056664272059558109108150346978944181590389876812317069

cado polynomial
n: 414832993160385516213030454573153086276327347674530937885812111936113953955182239640609274466698321692436154562942529
skew: 25960.545
c0: 833635393192127403251105004
c1: -116206589945279734024689
c2: -5841945540626269118
c3: 53831449304285
c4: 1830456810
c5: 100800
Y0: -23735635110915777928114
Y1: 114024822266984639
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.062e-07
# f(x) = 100800*x^5+1830456810*x^4+53831449304285*x^3-5841945540626269118*x^2-116206589945279734024689*x+833635393192127403251105004
# g(x) = 114024822266984639*x-23735635110915777928114

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: 694420386967371210056664272059558109108150346978944181590389876812317069 597380205054200560848526454377809110911838341
Info:Square Root: Total cpu/real time for sqrt: 145.66/43.3233
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 141.54/155.211
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 113.99999999999997s
Info:Square Root: Total cpu/real time for sqrt: 145.66/43.3233
Info:Filtering - Singleton removal: Total cpu/real time for purge: 109.87/128.182
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7801689
Info:Lattice Sieving: Average J: 1893.99 for 212377 special-q, max bucket fill -bkmult 1.0,1s:1.260260
Info:Lattice Sieving: Total time: 27734.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.23/1.14617
Info:Linear Algebra: Total cpu/real time for bwc: 2748.41/710.61
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1697.99, WCT time 434.84, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14592 iterations)
Info:Linear Algebra: Lingen CPU time 73.81, WCT time 18.84
Info:Linear Algebra: Mksol: CPU time 938.46,  WCT time 241.13, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.91/16.9109
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 32/34.589
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 33.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 559.79
Info:Polynomial Selection (root optimized): Rootsieve time: 558.52
Info:Filtering - Merging: Merged matrix has 463896 rows and total weight 71922893 (155.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 78.36/23.0416
Info:Filtering - Merging: Total cpu/real time for replay: 15.41/12.5947
Info:Quadratic Characters: Total cpu/real time for characters: 16.52/6.44395
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): 21911/34.470/41.677/46.190/1.086
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17519/33.420/36.881/42.100/0.852
Info:Polynomial Selection (size optimized): Total time: 2131.47
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 58368.8/8350.16
Info:root: Cleaning up computation data in /tmp/cado.nzcmascq
694420386967371210056664272059558109108150346978944181590389876812317069 597380205054200560848526454377809110911838341

cado-nfs-3.0.0

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

252710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271<180>

14432655913650865764499164586496708259054365903948268467<56>
17509599661504422629566760237643108398572708920622592665430435840541137191823233626646833592561287230657674232409017429590613<125>

Number: n
N=252710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271  ( 180 digits)
SNFS difficulty: 182 digits.
Divisors found:

Wed Mar  2 01:03:28 2022  p56 factor: 14432655913650865764499164586496708259054365903948268467
Wed Mar  2 01:03:28 2022  p125 factor: 17509599661504422629566760237643108398572708920622592665430435840541137191823233626646833592561287230657674232409017429590613
Wed Mar  2 01:03:28 2022  elapsed time 00:24:02 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 373x10^180-4 = 414(180)
#
n: 252710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271
m: 1000000000000000000000000000000000000
deg: 5
c5: 373
c0: -4
skew: 0.40
# Murphy_E = 7.567e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4449960 hash collisions in 34985162 relations (31643529 unique)
Msieve: matrix is 888983 x 889211 (301.0 MB)

Sieving start time : 2022/03/01 20:56:52
Sieving end time  : 2022/03/02 00:38:52
Total relation processing time: 0hrs 12min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 40sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117462] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154119] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798724)
[    0.152036] smpboot: Total of 16 processors activated (102389.79 BogoMIPS)

Total sieving time: 3hrs 42min 0secs.

3804636761555823349174697852481669285135836602300409508813845303010642469953743691561819741335109453781313808418666364234625889312249213346685269701<148>

203842050379179843301758215018232555341733692815969211643346490026241<69>
18664631534458033995703268957956269713405033857095610589379353008769203757509061<80>

Number: n
N=3804636761555823349174697852481669285135836602300409508813845303010642469953743691561819741335109453781313808418666364234625889312249213346685269701  ( 148 digits)
SNFS difficulty: 183 digits.
Divisors found:

Wed Apr 20 05:41:52 2022  p69 factor: 203842050379179843301758215018232555341733692815969211643346490026241
Wed Apr 20 05:41:52 2022  p80 factor: 18664631534458033995703268957956269713405033857095610589379353008769203757509061
Wed Apr 20 05:41:52 2022  elapsed time 00:22:30 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.312).
Factorization parameters were as follows:
#
# N = 373x10^181-4 = 414(181)
#
n: 3804636761555823349174697852481669285135836602300409508813845303010642469953743691561819741335109453781313808418666364234625889312249213346685269701
m: 1000000000000000000000000000000000000
deg: 5
c5: 1865
c0: -2
skew: 0.25
# Murphy_E = 6.485e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3770547 hash collisions in 30926720 relations (28946668 unique)
Msieve: matrix is 946806 x 947032 (325.4 MB)

Sieving start time : 2022/04/20 01:34:55
Sieving end time  : 2022/04/20 05:18:50

Total sieving time: 3hrs 43min 55secs.

Total relation processing time: 0hrs 13min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 2sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

23820782826047506744790943678553654393520271138797521675108922331947835032643480550771228841790199906435859679357145752755351368454032476099194170416122127347860848671<167>

2047487316167812485372108295978038091<37>
11634154037462740716955129029919939283326195075362388956364106671620066194243192618632214806240706401601829140636594695869887696381<131>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3560561134
Step 1 took 7078ms
Step 2 took 3797ms
********** Factor found in step 2: 2047487316167812485372108295978038091
Found prime factor of 37 digits: 2047487316167812485372108295978038091
Prime cofactor 11634154037462740716955129029919939283326195075362388956364106671620066194243192618632214806240706401601829140636594695869887696381 has 131 digits
 

GMP-ECM

3607715228524047984020387058812789661787218318516388291671229260864578344632039385270115162793624983951616057552495461291067828770411<133>

1252011785365565880724892373847143227<37>

2881534559573380744903075552931405522879360819122438003369727500786064108518093513802704025998993<97>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3240575831
Step 1 took 3593ms
********** Factor found in step 2: 1252011785365565880724892373847143227
Found prime factor of 37 digits: 1252011785365565880724892373847143227
Composite cofactor 2881534559573380744903075552931405522879360819122438003369727500786064108518093513802704025998993 has 97 digits

GMP-ECM

2881534559573380744903075552931405522879360819122438003369727500786064108518093513802704025998993<97>

161811485408250065179750787511541578703<39>
17807972977340110414194238329672916469542737365190863126431<59>

prp59 = 17807972977340110414194238329672916469542737365190863126431
prp39 = 161811485408250065179750787511541578703

Yafu

426035575357047784733444126838707459678209492713802374423141557940363488536510784754359448132349706082442933882256513855233989203865851816608062883607257011965053363327<168>

242195828742484762640312184443598895021130372020913064448736893092229<69>
1759054140482456571324048550732906071118729317545788909343739051594720326315822680894097123347770163<100>

Number: n
N=426035575357047784733444126838707459678209492713802374423141557940363488536510784754359448132349706082442933882256513855233989203865851816608062883607257011965053363327  ( 168 digits)
SNFS difficulty: 188 digits.
Divisors found:

Mon Mar  7 21:42:48 2022  p69 factor: 242195828742484762640312184443598895021130372020913064448736893092229
Mon Mar  7 21:42:48 2022  p100 factor: 1759054140482456571324048550732906071118729317545788909343739051594720326315822680894097123347770163
Mon Mar  7 21:42:48 2022  elapsed time 00:35:17 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 373x10^187-4 = 414(187)
#
n: 426035575357047784733444126838707459678209492713802374423141557940363488536510784754359448132349706082442933882256513855233989203865851816608062883607257011965053363327
m: 10000000000000000000000000000000000000
deg: 5
c5: 9325
c0: -1
skew: 0.16
# Murphy_E = 3.835e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4836186 hash collisions in 35801434 relations (33019586 unique)
Msieve: matrix is 1181678 x 1181902 (402.5 MB)

Sieving start time : 2022/03/07 16:00:26
Sieving end time  : 2022/03/07 21:06:56

Total sieving time: 5hrs 6min 30secs.
Total relation processing time: 0hrs 23min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 55sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

9280220978594167487740452796034221274479225219758483583244141436492301838090490460290091929378833358325561221250743954342887681867317<133>

180963730252556423213535720441575965531<39>
51282215312662457907493457544781000776029023011920989630002358370664770814066287736462183090607<95>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 9280220978594167487740452796034221274479225219758483583244141436492301838090490460290091929378833358325561221250743954342867317 (133 digits)

Run 312 out of 420:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3570487514
Step 1 took 2718ms
Step 2 took 1625ms
********** Factor found in step 2: 180963730252556423213535720441575965531
Found prime factor of 39 digits: 180963730252556423213535720441575965531
Prime cofactor 51282215312662457907493457544781000776029023011920989630002358370664770814066287736462183090607 has 95 digits

91239108853461561675902510620267958977193125031750665626266824664354210738517780297230166613721629371905952989402026226765867966864619865969991550577822603460962983460488395481685906979<185>

171122019719993530603961182078894368470199558367813147<54>
533181580037191317921083113231385906506896524171570778588671484683881510470469709497252329299933132441653239085967283584957029320857<132>

Number: n
N=91239108853461561675902510620267958977193125031750665626266824664354210738517780297230166613721629371905952989402026226765867966864619865969991550577822603460962983460488395481685906979  ( 185 digits)
SNFS difficulty: 195 digits.
Divisors found:

Fri Mar  4 05:34:31 2022  p54 factor: 171122019719993530603961182078894368470199558367813147
Fri Mar  4 05:34:31 2022  p132 factor: 533181580037191317921083113231385906506896524171570778588671484683881510470469709497252329299933132441653239085967283584957029320857
Fri Mar  4 05:34:31 2022  elapsed time 01:03:34 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 373x10^194-4 = 414(194)
#
n: 91239108853461561675902510620267958977193125031750665626266824664354210738517780297230166613721629371905952989402026226765867966864619865969991550577822603460962983460488395481685906979
m: 100000000000000000000000000000000
deg: 6
c6: 9325
c0: -1
skew: 0.22
# Murphy_E = 1.721e-11
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 33650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4920864 hash collisions in 36765491 relations (33556236 unique)
Msieve: matrix is 1557646 x 1557871 (536.9 MB)

Sieving start time : 2022/03/03 18:33:59
Sieving end time  : 2022/03/04 04:30:19

Total sieving time: 9hrs 56min 20secs.

Total relation processing time: 0hrs 48min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 21sec.

Prototype def-par.txt line would be:
snfs,195,6,0,0,0,0,0,0,0,0,12900000,12900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119529] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153528] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798128)
[    0.152048] smpboot: Total of 16 processors activated (102385.02 BogoMIPS)

6012830770879685009142647999256995984354799937009565747272010171503037789940668697976011632928653544670361084243184446794720581009998493604108752083066506712260385107<166>

74865864840908263724536701350813288093<38>

80314717310179917569805391524072195246281943596055976398009700435226094808568245658972242230185872681448111455751316310163252399<128>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3133948297
Step 1 took 4906ms
********** Factor found in step 2: 74865864840908263724536701350813288093
Found prime factor of 38 digits: 74865864840908263724536701350813288093
Composite cofactor 80314717310179917569805391524072195246281943596055976398009700435226094808568245658972242230185872681448111455751316310163252399 has 128 digits
 

GMP-ECM

80314717310179917569805391524072195246281943596055976398009700435226094808568245658972242230185872681448111455751316310163252399<128>

9944972875573919966268104159040991676914459<43>
8075911147776256847386266586659612054015111083710330424121793878477679451292819505661<85>

9944972875573919966268104159040991676914459 8075911147776256847386266586659612054015111083710330424121793878477679451292819505661

n: 80314717310179917569805391524072195246281943596055976398009700435226094808568245658972242230185872681448111455751316310163252399
skew: 64160.589
c0: 215100046117889076618367022250
c1: -8161758955504809263985113
c2: -52340684188433374254
c3: 1270444515148833
c4: 27683039824
c5: 235440
Y0: -3684794161642993398197876
Y1: 135632901528848693
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.554e-07
# f(x) = 235440*x^5+27683039824*x^4+1270444515148833*x^3-52340684188433374254*x^2-8161758955504809263985113*x+215100046117889076618367022250
# g(x) = 135632901528848693*x-3684794161642993398197876

cado-nfs 3.0.0

3619979710830368173873022443125905852400531666434162874778850236230986947964368164896759535538512137582673327914413048295954983<127>

388153036552019082822403527787748473171042823152096602148137449<63>
9326166150822394930453921543986721647455904699840757980278049167<64>

388153036552019082822403527787748473171042823152096602148137449 9326166150822394930453921543986721647455904699840757980278049167

n: 3619979710830368173873022443125905852400531666434162874778850236230986947964368164896759535538512137582673327914413048295954983
skew: 20043.462
c0: -3170082772404413447848221298
c1: -254058456470377951048489
c2: 2591470859515167658
c3: -3692088563693771
c4: 56007023340
c5: 1938000
Y0: -1795797785895594157701672
Y1: 9333528479326289
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.130e-07
# f(x) = 1938000*x^5+56007023340*x^4-3692088563693771*x^3+2591470859515167658*x^2-254058456470377951048489*x-3170082772404413447848221298
# g(x) = 9333528479326289*x-1795797785895594157701672

cado-nfs 3.0.0

2180060232497451171439856199075308097116865395444102117200994925509959820222460347346531475094416010374664542002713608634868463789564194939257137088965716206238657703648709<172>

2286180615107782688332099198408240104645851716523094004111107712667653883289396691<82>
953581802807243014432051707682609705820398555223820958774981013928985002513663166965659399<90>

Number: n
N=2180060232497451171439856199075308097116865395444102117200994925509959820222460347346531475094416010374664542002713608634868463789564194939257137088965716206238657703648709  ( 172 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sat Mar  5 13:14:39 2022  p82 factor: 2286180615107782688332099198408240104645851716523094004111107712667653883289396691
Sat Mar  5 13:14:39 2022  p90 factor: 953581802807243014432051707682609705820398555223820958774981013928985002513663166965659399
Sat Mar  5 13:14:39 2022  elapsed time 01:25:02 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 373x10^197-4 = 414(197)
#
n: 2180060232497451171439856199075308097116865395444102117200994925509959820222460347346531475094416010374664542002713608634868463789564194939257137088965716206238657703648709
m: 1000000000000000000000000000000000000000
deg: 5
c5: 9325
c0: -1
skew: 0.16
# Murphy_E = 1.479e-11
type: snfs
lss: 1
rlim: 14500000
alim: 14500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14500000/14500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4509167 hash collisions in 32165133 relations (29344918 unique)
Msieve: matrix is 1786745 x 1786970 (619.3 MB)

Sieving start time : 2022/03/05 02:28:24
Sieving end time  : 2022/03/05 11:49:01

Total sieving time: 9hrs 20min 37secs.

Total relation processing time: 1hrs 3min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 42sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14500000,14500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119529] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153528] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798128)
[    0.152048] smpboot: Total of 16 processors activated (102385.02 BogoMIPS)

435390544916445530024257580444292579137154691954568122691738167433859155501709401893172423907323013848732425005222574715572009364248549055016858072326456427235484120574647088875987087<183>

371491181312483964003706356060105771479353901<45>
1172007753665118368761227701941820023063129945016094837816309595134285693986910267763310364703557828224161978627364089447734453822823167787<139>

Number: n
N=435390544916445530024257580444292579137154691954568122691738167433859155501709401893172423907323013848732425005222574715572009364248549055016858072326456427235484120574647088875987087  ( 183 digits)
SNFS difficulty: 201 digits.
Divisors found:

Fri Mar  4 18:39:22 2022  p45 factor: 371491181312483964003706356060105771479353901
Fri Mar  4 18:39:22 2022  p139 factor: 1172007753665118368761227701941820023063129945016094837816309595134285693986910267763310364703557828224161978627364089447734453822823167787
Fri Mar  4 18:39:22 2022  elapsed time 01:18:44 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 373x10^199-4 = 414(199)
#
n: 435390544916445530024257580444292579137154691954568122691738167433859155501709401893172423907323013848732425005222574715572009364248549055016858072326456427235484120574647088875987087
m: 1000000000000000000000000000000000
deg: 6
c6: 1865
c0: -2
skew: 0.32
# Murphy_E = 1.154e-11
type: snfs
lss: 1
rlim: 15800000
alim: 15800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15800000/15800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4912687 hash collisions in 33628411 relations (30932844 unique)
Msieve: matrix is 1834520 x 1834745 (638.9 MB)

Sieving start time : 2022/03/04 05:36:58
Sieving end time  : 2022/03/04 17:20:04

Total sieving time: 11hrs 43min 6secs.

Total relation processing time: 1hrs 6min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 5sec.

Prototype def-par.txt line would be:
snfs,201,6,0,0,0,0,0,0,0,0,15800000,15800000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119529] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153528] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798128)
[    0.152048] smpboot: Total of 16 processors activated (102385.02 BogoMIPS)

43928019403567483479472341039189449854930796631269551550435647588857480267769035880230314342249493698384062499034577278582495568946205084375116804728464364890091<161>

153122725007715530656351123190835634744520851993537679564829985337<66>
286881123630434629316930364363428399450718458558480728667235673267466056717539922825451188523843<96>

43928019403567483479472341039189449854930796631269551550435647588857480267769035880230314342249493698384062499034577278582495568946205084375116804728464364890091=153122725007715530656351123190835634744520851993537679564829985337*286881123630434629316930364363428399450718458558480728667235673267466056717539922825451188523843

cado polynomial
n: 43928019403567483479472341039189449854930796631269551550435647588857480267769035880230314342249493698384062499034577278582495568946205084375116804728464364890091
skew: 0.40
type: snfs
c0: -4
c5: 373
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 373*x^5-4
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16600000
tasks.lim1 = 16600000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 153122725007715530656351123190835634744520851993537679564829985337 286881123630434629316930364363428399450718458558480728667235673267466056717539922825451188523843
Info:Square Root: Total cpu/real time for sqrt: 850.64/268.986
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 190.4/211.26
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 211.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 213.6/234.674
Info:Quadratic Characters: Total cpu/real time for characters: 101.94/43.9968
Info:Generate Free Relations: Total cpu/real time for freerel: 234.21/59.9534
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43276819
Info:Lattice Sieving: Average J: 2715.02 for 2558651 special-q, max bucket fill -bkmult 1.0,1s:1.107920
Info:Lattice Sieving: Total time: 1.17963e+06s
Info:Square Root: Total cpu/real time for sqrt: 850.64/268.986
Info:Generate Factor Base: Total cpu/real time for makefb: 7/3.03867
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 481.2/404.421
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 377.1s
Info:Filtering - Merging: Merged matrix has 2905378 rows and total weight 496672240 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 848.95/232.159
Info:Filtering - Merging: Total cpu/real time for replay: 113.57/100.497
Info:Linear Algebra: Total cpu/real time for bwc: 151271/38798.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 97190.83, WCT time 24801.98, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (91136 iterations)
Info:Linear Algebra: Lingen CPU time 640.88, WCT time 162.85
Info:Linear Algebra: Mksol: CPU time 52339.45,  WCT time 13417.09, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (45568 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.45099e+06/56483.1
153122725007715530656351123190835634744520851993537679564829985337 286881123630434629316930364363428399450718458558480728667235673267466056717539922825451188523843

cado-nfs-3.0.0

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

881693726586675726188029224593594106978123604093453525382401019465988254125456600420882653048259732765866957591677375315147171632151120149096492175509191850773030110308075738323958380272441053<192>

21898997279505196413143220252709749632657145966391<50>
40261830956608869196534309301667274701165500245153035602500755121679273939851690390089488481018720023120415227229092081014187630925683704556683<143>

Number: n
N=881693726586675726188029224593594106978123604093453525382401019465988254125456600420882653048259732765866957591677375315147171632151120149096492175509191850773030110308075738323958380272441053  ( 192 digits)
SNFS difficulty: 203 digits.
Divisors found:

Thu Aug  3 04:33:28 2023  prp50 factor: 21898997279505196413143220252709749632657145966391
Thu Aug  3 04:33:28 2023  prp143 factor: 40261830956608869196534309301667274701165500245153035602500755121679273939851690390089488481018720023120415227229092081014187630925683704556683
Thu Aug  3 04:33:28 2023  elapsed time 02:53:03 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.989).
Factorization parameters were as follows:
#
# N = 373x10^202-4 = 414(202)
#
n: 881693726586675726188029224593594106978123604093453525382401019465988254125456600420882653048259732765866957591677375315147171632151120149096492175509191850773030110308075738323958380272441053
m: 10000000000000000000000000000000000000000
deg: 5
c5: 9325
c0: -1
skew: 0.16
# Murphy_E = 9.126e-12
type: snfs
lss: 1
rlim: 17600000
alim: 17600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17600000/17600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3252069 hash collisions in 17772422 relations (15197748 unique)
Msieve: matrix is 2377558 x 2377784 (671.1 MB)

Sieving start time: 2023/08/02 09:17:38
Sieving end time  : 2023/08/03 01:40:02

Total sieving time: 16hrs 22min 24secs.

Total relation processing time: 2hrs 45min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 16sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17600000,17600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2624293589951836493692065710739251777897087372976218043077417741879971689096982406096816760314514149323871975285708859425927172641677576645919301778878891154434688955741849<172>

12068645981798497253883886628503320086281913<44>
250219019809073911713409462890578846247491467145273253793<57>
869027566871492104443555198583814108779537592244199232937210811875581761<72>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2624293589951836493692065710739251777897087372976218043077417741879971689096982406096816760314514149323871975285708859425927172641677576645919301778878891154434688955741849 (172 digits)
Using B1=17520000, B2=58559766730, polynomial Dickson(12), sigma=1:4048453892
Step 1 took 37886ms
Step 2 took 15423ms
********** Factor found in step 2: 12068645981798497253883886628503320086281913
Found prime factor of 44 digits: 12068645981798497253883886628503320086281913
Composite cofactor 217447225969649186355616563728657612069766025669352946862020558264928125636596667409414225874082008607919908615478354505274869473 has 129 digits
/home/bob/Kamada 03:02:13 > vi xx2907
/home/bob/Kamada 09:07:17 > cat xx2907
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2624293589951836493692065710739251777897087372976218043077417741879971689096982406096816760314514149323871975285708859425927172641677576645919301778878891154434688955741849 (172 digits)
Using B1=17520000, B2=58559766730, polynomial Dickson(12), sigma=1:4048453892
Step 1 took 37886ms
Step 2 took 15423ms
********** Factor found in step 2: 12068645981798497253883886628503320086281913
Found prime factor of 44 digits: 12068645981798497253883886628503320086281913
Composite cofactor 217447225969649186355616563728657612069766025669352946862020558264928125636596667409414225874082008607919908615478354505274869473 has 129 digits

CADO:

STA:Fri 27 May 2022 14:49:57 AEST (217,447,225,969,649,186,355,616,563,728,657,612,069,766,025,669,352,946,862,020,558,264,928,125,636,596,667,409,414,225,874,082,008,607,919,908,615,478,354,505,274,869,473 - C129)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 217447225969649186355616563728657612069766025669352946862020558264928125636596667409414225874082008607919908615478354505274869473 2>&1 | tee -a log159

Debug:root: Looking for parameter file for c129 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.ycza1d4t
Info:Database: Opened connection to database /tmp/cado.ycza1d4t/c130.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 217447225969649186355616563728657612069766025669352946862020558264928125636596667409414225874082008607919908615478354505274869473
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 217447225969649186355616563728657612069766025669352946862020558264928125636596667409414225874082008607919908615478354505274869473
skew: 36535.932
c0: 68924489135486422882938299496
c1: -2269486610843653101214298
c2: -260793349036419698887
c3: 1374824464934767
c4: 61042702842
c5: 1018080
Y0: -4180588323806093031292605
Y1: 246744121566903343
# MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 1.98e-09
# f(x) = 1018080*x^5+61042702842*x^4+1374824464934767*x^3-260793349036419698887*x^2-2269486610843653101214298*x+68924489135486422882938299496
# g(x) = 246744121566903343*x-4180588323806093031292605
===
Info:Square Root: finished
Info:Square Root: Factors: 250219019809073911713409462890578846247491467145273253793 869027566871492104443555198583814108779537592244199232937210811875581761
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 2456.14/544.829
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38786/36.760/45.807/50.900/0.859
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 38786/36.630/41.163/46.600/1.089
Info:Polynomial Selection (size optimized): Total time: 5813.18
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2186.23
Info:Polynomial Selection (root optimized): Rootsieve time: 2185.33
Info:Generate Factor Base: Total cpu/real time for makefb: 59.91/5.36
Info:Generate Free Relations: Total cpu/real time for freerel: 303.77/20.3301
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19216835
Info:Lattice Sieving: Average J: 7615.35 for 71763 special-q, max bucket fill: 0.593849
Info:Lattice Sieving: Total CPU time: 233021s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.33/70.6246
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 70.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 330.99/105.501
Info:Filtering - Singleton removal: Total cpu/real time for purge: 200.98/81.1167
Info:Filtering - Merging: Total cpu/real time for merge: 852.81/727.868
Info:Filtering - Merging: Total cpu/real time for replay: 62.17/49.2287
Info:Linear Algebra: Total cpu/real time for bwc: 55264.4/0.00025177
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 2460.23
Info:Linear Algebra: Lingen CPU time 354.91, WCT time 34.83
Info:Linear Algebra: Mksol: WCT time 1885.21
Info:Quadratic Characters: Total cpu/real time for characters: 56.89/27.3498
Info:Square Root: Total cpu/real time for sqrt: 2456.14/544.829
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 300659/22505.5
Info:root: Cleaning up computation data in /tmp/cado.ycza1d4t
250219019809073911713409462890578846247491467145273253793 869027566871492104443555198583814108779537592244199232937210811875581761

END:Fri 27 May 2022 21:05:04 AEST (217,447,225,969,649,186,355,616,563,728,657,612,069,766,025,669,352,946,862,020,558,264,928,125,636,596,667,409,414,225,874,082,008,607,919,908,615,478,354,505,274,869,473 - C129)

17621904340718166234043056881825902638032887405365297353556824891655680184107095345188443872459917551344516066836856921168537922893443808927519376248066768669505624809724653258413447031689416151157981<200>

19041397260454651336688949119342001405032186137643981203<56>
925452271158456368549029521111924135299391254073774065391407833942871236727150648352071234953136004589695404310175159142360204825735212182488527<144>

Number: n
N=17621904340718166234043056881825902638032887405365297353556824891655680184107095345188443872459917551344516066836856921168537922893443808927519376248066768669505624809724653258413447031689416151157981  ( 200 digits)
SNFS difficulty: 208 digits.
Divisors found:

Mon Oct 14 09:46:47 2024  prp56 factor: 19041397260454651336688949119342001405032186137643981203
Mon Oct 14 09:46:47 2024  prp144 factor: 925452271158456368549029521111924135299391254073774065391407833942871236727150648352071234953136004589695404310175159142360204825735212182488527
Mon Oct 14 09:46:47 2024  elapsed time 02:17:57 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.129).
Factorization parameters were as follows:
#
# N = 373x10^207-4 = 414(207)
#
n: 17621904340718166234043056881825902638032887405365297353556824891655680184107095345188443872459917551344516066836856921168537922893443808927519376248066768669505624809724653258413447031689416151157981
m: 10000000000000000000000000000000000
deg: 6
c6: 93250
c0: -1
skew: 0.15
# Murphy_E = 6.207e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 52450000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8932219 hash collisions in 28693634 relations (17867142 unique)
Msieve: matrix is 2076976 x 2077201 (592.9 MB)

Sieving start time: 2024/10/13 02:19:30
Sieving end time  : 2024/10/14 07:21:05

Total sieving time: 29hrs 1min 35secs.

Total relation processing time: 2hrs 7min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 10sec.

Prototype def-par.txt line would be:
snfs,208,6,0,0,0,0,0,0,0,0,21000000,21000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3837448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893<208>

63680211304649585814907886275454388464101009448887012582740923232742271<71>
60261240989170399968696756717237413329135348805614182528829286108088885181245045647672756105481951759558211005048803440878630275508215483<137>

N=3837448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893
  ( 208 digits)
SNFS difficulty: 209 digits.
Divisors found:
 r1=63680211304649585814907886275454388464101009448887012582740923232742271 (pp71)
 r2=60261240989170399968696756717237413329135348805614182528829286108088885181245045647672756105481951759558211005048803440878630275508215483 (pp137)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1179.31 hours.
Scaled time: 9149.12 units (timescale=7.758).
Factorization parameters were as follows:
n: 3837448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893
m: 100000000000000000000000000000000000000000
deg: 5
c5: 93250
c0: -1
skew: 0.10
# Murphy_E = 3.778e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [11000000, 34800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4946429 x 4946658
Total sieving time: 1172.63 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 6.21 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,209.000,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 1179.31 hours.

GNFS, Msieve

5823910008801644771259217777681747481654735414104362697831138496089021737475941390933647847525245396797612585704405775870361063996341206055167419031736950484822942621593454385612397402615862690699553<199>

28406137192404025256230347593753689012983777158700065432913763113442594502216971314284088617561625461668281458132242706918810673398935340164615858174426977609413297022270362511422242675178356527998698403<203>

683000073243975683000073243975683000073243975683000073243975683000073243975683000073243975683000073243975683000073243975683000073243975683000073243975683000073243975683000073243975683000073243975683000073243975683<213>

935740944776095136931741241143406566180349711713306960791060746302182412509252792593963940193730405665515457008129443334243684765492318925313<141>

106012455027736115931980787286481603491<39>

8826707621583488006591331342911565914445915130242149800728169815362421817414093794629233407968697247243<103>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:136858416
Step 1 took 3515ms
********** Factor found in step 2: 106012455027736115931980787286481603491
Found prime factor of 39 digits: 106012455027736115931980787286481603491
Composite cofactor 8826707621583488006591331342911565914445915130242149800728169815362421817414093794629233407968697247243 has 103 digits

GMP-ECM

8826707621583488006591331342911565914445915130242149800728169815362421817414093794629233407968697247243<103>

4602272080480697532109710041963341672633<40>
1917902172498579694020048611003548067315161490376524310086419171<64>

prp40 = 4602272080480697532109710041963341672633
prp64 = 1917902172498579694020048611003548067315161490376524310086419171

Yafu

934768789666185729233626762759834750384271733713046013269815584815329391844697207666080487777105408212006929740973472376831909740397815447453354303465486441589726245793430380974859<180>

97242313768632098701764228357447664351093346276872531679606320868360645707<74>
9612778156330936724823719900661166089871383762843284876430540727968265306461823697878454819263234899459137<106>

Number: 41444_221
N = 934768789666185729233626762759834750384271733713046013269815584815329391844697207666080487777105408212006929740973472376831909740397815447453354303465486441589726245793430380974859 (180 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=97242313768632098701764228357447664351093346276872531679606320868360645707 (pp74)
r2=9612778156330936724823719900661166089871383762843284876430540727968265306461823697878454819263234899459137 (pp106)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 47.15 hours.
Factorization parameters were as follows:
n: 934768789666185729233626762759834750384271733713046013269815584815329391844697207666080487777105408212006929740973472376831909740397815447453354303465486441589726245793430380974859
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1865
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: 30671577
Relations: 8317076 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 15.32 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 7058740 x 7058964
Matrix solve time: 31.24 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 47.15 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

4874122164393160862071656617552760129013557829114097368343239839990642248281335277906818803075515406269409992753524031182544650499245816955532860324523706832409986475189485725514327371623002460218891204410062990513<214>

398008708042705032407467925944241359876520181347539281576232384508892524284470064153501421379365260225613335441435220877665249164934703293200128530655491456600532294150754870055662763173763973251731697532865891<210>

137477037024257333617487117839171397727096546489564740000276666710864349398422248044411650381972733527375336012759774048698505809617269242697556823609357290758572757332503693435596616589<186>

27282005832848330818199886633847173839951664301457016629611290273077864512226771144635724836065894797233759954872810234596760942031765278897958665517665613404959722938387779935078854096575369183<194>

29681983135598647888787818899415537501102591362076896986851799993383870518947228872063581555898970730067340254130083364155403122383383428329837164612147317022745357111271023415793754558319838225391738607<203>

117473719041073259561692915471335813652172218807076023245685968703159637475055413030713952158274074454934159341485614798674146698557821174575400187850549881876704203044615769519679715249252071566372214161488674912587019249<222>

95831670374704870238584605265287760988987654281862855257515376933379108270811385733186140775627331315309010170128643602073839911354115692246475973270161221695227514853353416348931860849410637<191>

25709953129307968017645437000275709953129307968017645437000275709953129307968017645437000275709953129307968017645437000275709953129307968017645437000275709953129307968017645437000275709953129307968017645437000275709953129307968017645437<236>

314595778027508661592208277594964279459<39>

81723770390395564920571548317185986803608480982178456356894595649608645063161982990522050276515911065928284899316863165950369145244180097465588017520598540138182742111370747233525911585367745749343<197>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1088683196
Step 1 took 10109ms
********** Factor found in step 2: 314595778027508661592208277594964279459
Found prime factor of 39 digits: 314595778027508661592208277594964279459
Composite cofactor 81723770390395564920571548317185986803608480982178456356894595649608645063161982990522050276515911065928284899316863165950369145244180097465588017520598540138182742111370747233525911585367745749343 has 197 digits

GMP-ECM

407884780519976759541605403095507188577572892588682718045347213366201349594128616812475833721886320637426049804181987550027976902325194411639341123908575844133785799061990853158695631998465524728803875302729096427923808158311483<228>

1193501563774671766742995405095196153234241615553079817553512852327712928270011535949143631574492034227623262552508892551344837294036276565003109533501<151>

153086342849267860803473318686063972943<39>

7796264131476570297466770048992514383122290061466585581154747865858818886540201226877673586234381194420960880307<112>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1810076481
Step 1 took 12813ms
********** Factor found in step 2: 153086342849267860803473318686063972943
Found prime factor of 39 digits: 153086342849267860803473318686063972943
Composite cofactor 7796264131476570297466770048992514383122290061466585581154747865858818886540201226877673586234381194420960880307 has 112 digits
 

GMP-ECM

7796264131476570297466770048992514383122290061466585581154747865858818886540201226877673586234381194420960880307<112>

421309324403541905350379868898287015243479<42>
18504845916984950273522704835530063825284429369087524738709758460614533<71>

prp42 = 421309324403541905350379868898287015243479
prp71 = 18504845916984950273522704835530063825284429369087524738709758460614533

GNFS, Yafu

906752335769636298179691867955477273494285090961116301034911226214316554267961018361796700753033685995000541255258922841431751698802961717557523471606728116487124804798521724453950887781412443<192>

97227797972631942790559258326854218237107998828091112406704164965628939889887345027124565200376250689923275025048197768447702639029300390192144952389362268183389865793272571949902485386672143056201881846747<206>

33466079137127250175538706487479160061719597997631597436502729041478297922435099358594525173527007359902756821953454855905080513550980737285138358124321231311821868178981307704430158399323924327<194>

574361205749127270115258701332330783<36>

58266607845629381081311111976860415436436035621160084255004053784545586431463374771091996188193356815310021144476145130108407577569336419194997071958289834169<158>

Run 10 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1870296820
Step 1 took 19002ms
********** Factor found in step 1: 574361205749127270115258701332330783
Found prime factor of 36 digits: 574361205749127270115258701332330783
Composite cofactor 58266607845629381081311111976860415436436035621160084255004053784545586431463374771091996188193356815310021144476145130108407577569336419194997071958289834169 has 158 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

58266607845629381081311111976860415436436035621160084255004053784545586431463374771091996188193356815310021144476145130108407577569336419194997071958289834169<158>

1926889628109719488915364203071727550106581<43>
30238684663422563222478213746226782392194102873515442348008374326695632755692631070236330469245225376897711649105749<116>

GMP-ECM 7.0.5-dev [configured with GMP 6.1.0, --enable-assert] [ECM]
Tuned for default
Running on rockpi-1
Input number is 58266607845629381081311111976860415436436035621160084255004053784545586431463374771091996188193356815310021144476145130108407577569336419194997071958289834169 (158 digits)
[Mon Jul 25 17:34:17 2022]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:15391517293915131111
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 591998ms
Using 20 small primes for NTT
Estimated memory usage: 231.75MB
Initializing tables of differences for F took 132ms
Computing roots of F took 10096ms
Building F from its roots took 11197ms
Computing 1/F took 5203ms
Initializing table of differences for G took 403ms
Computing roots of G took 10453ms
Building G from its roots took 9291ms
Computing roots of G took 9360ms
Building G from its roots took 9479ms
Computing G * H took 3381ms
Reducing  G * H mod F took 3374ms
Computing roots of G took 8675ms
Building G from its roots took 13419ms
Computing G * H took 1918ms
Reducing  G * H mod F took 1690ms
Computing roots of G took 7687ms
Building G from its roots took 8578ms
Computing G * H took 2404ms
Reducing  G * H mod F took 3285ms
Computing roots of G took 5099ms
Building G from its roots took 11133ms
Computing G * H took 3338ms
Reducing  G * H mod F took 3478ms
Computing polyeval(F,G) took 17215ms
Computing product of all F(g_i) took 130ms
Step 2 took 161324ms
********** Factor found in step 2: 1926889628109719488915364203071727550106581
Found prime factor of 43 digits: 1926889628109719488915364203071727550106581
Prime cofactor 30238684663422563222478213746226782392194102873515442348008374326695632755692631070236330469245225376897711649105749 has 116 digits
Peak memory usage: 279MB

GMP-ECM 7.0.5-dev [configured with GMP 6.1.0, --enable-assert]

896798505389157723433787882310647741870903053981528613309678046847505430579128427591993649366586117653552705001738447006423566823113048740918075922020305450836092698646251134525680639128769184320833115054461838266143<216>

160139471941549030056232547607292826848745661731348496563471227446496784527203437410878008361143232479906486182251121759460239135670310109215403783725272849171769527650110333893045397879758549342656678198891039<210>

9315509423571201810103880774555294126996081580074929401890750779468293507038484495934200358423396498321306845257351391098985234708356327542647216233366060614516031268803529098223281557466616648422546179719149055892478467894252330079<232>

11643432749132554583342031570694045897233194612414228496575328050970730718777222650119936534713460070843939017825016726493495970350268831753808970470432803601344590356447505185139002690177365765826199239766625352021396256706419044202879612333149<245>

538242002425412597641538386880869714096957776418796912662581594011322926561762358265110212661945408592056442841970155591889557908080640791397372306633629476675609<162>

892549605658502788399109675065911088945461713<45>
603038754387561346088549786142984636900977626104488038030440764847837914626164128911926005629437024253618896238005193<117>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3443314678
Step 1 took 25969ms
Step 2 took 11656ms
********** Factor found in step 2: 892549605658502788399109675065911088945461713
Found prime factor of 45 digits: 892549605658502788399109675065911088945461713
Prime cofactor 603038754387561346088549786142984636900977626104488038030440764847837914626164128911926005629437024253618896238005193 has 117 digits

GMP-ECM

21818835506862213784486037693653036070371213418312731212810533739605477755563866892579300013294862120193993686294200225799456604376608413644687214687373612720670410564386498716268394513418224710963975275279954461103926121<221>

210487822306272843742946429437614725814798567214881363906871354454024179092161950473245843890506495061454033641111162130679363554230650174608516834272314484610997287195353397010829108220490398659103950496269535322122036709558964493<231>

365930463460741853763373778320784100139169158399954529963122725997849367074692375774225562649743352176256729241024573555545365527056629340358005941344223110624830849284595999726990895913051061200519765819642111830123674265799397041<231>

17411093142543154426218774178246472600327891911415987209033279503217411003380584337839658697113786331059992547440494931096060608349463981947647174298168539893626668991351805332863778622479058393905343986064941939330965391837787863862018068803<242>

10361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<260>

1043060746370523827524778813043961282149557248506798315586406939012055421387013789504241166055608742956942231667348098443054171434304709576834620865966410867451905695919723862214280639067486867301624330279936822421784535015915219<229>

797008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547<261>

238194105166872609956253802050116934420057965441536724916442352775635720985299591186142802616364890962429952603613608358155732912112759625305349132065835995836999183164355797749904376269579678023117509910742695219616733<219>

48945351004158619667591222875452194407523163080285332024630239939306045992479874531883734718370980979511388628526141551186887849955124384019628925640520003067945439629064060411701206722229801048174709874538480357438053176835828824570556913210450195697<251>

5967502290356374560323958033478643470325186807134038744436386016043396047375005691562833350425922555737144907410631920907323600237224486223504856716891741579682656375444182233773406461<184>

1441543141928049754710707142878449990455882715145844936641667919402041118753603830329366220893032987037291054769531190278521857785101597771718390338883038441110112422139162583983094945085364656400343747310166274619<214>

87176666529023688490435416016041042468394647261164564402942812836422604510517559090275689032157022792826520109702813425805348150372159406888960617544748981387512150016670652553527572578767080143044839619121608947423959915121946893032464652491873923<248>

741749951114603568330912185567927080810257700103802501423456198217248168180002174051527441922219379662207685866605020027885550977256031097614688448106206882052522456917521782126671120502299300652070694891715220432661009716415539020899797719878065687574264334717<261>

31246103574381215868698670450970323734502858257363216850919099390828994392445939301382806231134776705909253666818042868462979015225916290120396991738447649091663899656419150874940984304917259883<194>

1065309880547635060348685669864823371516564356965019167970332550268055891918575709521942579060628080891067721954233826459275492109930412602453780794168048538052381786076164730598749346057344880138344183830520419072765964497<223>

88262736523558196965398543814280043697111<41>

12069758116589703983553100711895683490668823754888541925481116464972226800721850163963739573531727712284911983673453908438776694267183418890964792638839097991564520374721975819717527<182>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1190786279
Step 1 took 8625ms
********** Factor found in step 2: 88262736523558196965398543814280043697111
Found prime factor of 41 digits: 88262736523558196965398543814280043697111
Composite cofactor 12069758116589703983553100711895683490668823754888541925481116464972226800721850163963739573531727712284911983673453908438776694267183418890964792638839097991564520374721975819717527 has 182 digits

GMP-ECM

3276584368929703362643479197763304575352257602501451178384778279386437071461431603927367356002369196977538133601358374747171662246205537151561347104459184785466495230565073755004784695070715329777353439767709816592021675774562885549060947234927<244>

56160249697626883049873481170426157628529664937216965134402363214570325735503053024045784076711249416530096883707664482152661511686588583781757357202945919631197963771453273393544151078314593868647134552177437223594640483413605120019867551303867990804797976134781<263>

280788919000301114122252333634447455585666967780788919000301114122252333634447455585666967780788919000301114122252333634447455585666967780788919000301114122252333634447455585666967780788919000301114122252333634447455585666967780788919000301114122252333634447455585666967780788919<279>

1268859927903539689371423394164506160613135768730014693524820854737174792124728833801905074742962365935862126477349415416052316933495367588917728932427467848274908334011230198840463683812773082489885126701018338239163998866763342410563493<238>

69336651324359315738034150214443781968077<41>

18299988587100463119363564513236543738536145084832019663017089689977719176039948628180725861625383893180363224488048250673585518385551047679798152320487736141039086801078119599487018760822513060409<197>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3390959781
Step 1 took 10140ms
********** Factor found in step 2: 69336651324359315738034150214443781968077
Found prime factor of 41 digits: 69336651324359315738034150214443781968077
Composite cofactor 18299988587100463119363564513236543738536145084832019663017089689977719176039948628180725861625383893180363224488048250673585518385551047679798152320487736141039086801078119599487018760822513060409 has 197 digits
 

GMP-ECM

184589320701516039896695883324559122676439909982890863114576407896216862400628947111467213393955284485516741055860967936306300252143560698894012914915741486521896029453736957153968017735224492519369312265072254824610478764747953751686123055429749269679637203<258>

53323790005540048081836718111590080465265998137698736322277060832551047078613983330542717195136320205411898009291394880535785514525673202764931317366237327624135569790087193861459607565581612068015315388606066671275978935723241570710004614989772676246629465239<260>

1495325604143615400651047930597649171757989769246804894084443803017911835923092958740238289956864065682076939112586392136110710219528230785266432545982264556373374384631420278699828418402527220538477574124853674572248681066692323727971007520726094834912846169881817161366879940988759<283>

5693260477348025556230547370264427724169505785254342389302706088255385530491279772398504228053664413900244544112890074623109094480816347699371222792288248979850327856351251344497053612661621437775624308586602170393075693063937292114458127860374957<247>

204229399875735720582013607740436547618607134734749297354655744793538789718163346883036357740701915195393965989421931873145355791766181723365711636181621739790259030859865356937870004929679143862990609812935042341786818678413398952069160501635583106708517576577<261>

1137300650841660873876049294836457984854455332245375525497510080927055455776119954206628642787400103259586235147000178574194055066269533170597789163321201033239591603102396869247131353921<187>

305711037682393890585823854172777571<36>

3720181840549746046677984633826997823903784731255716614367558541971081869654119538844096926203562828342259407310425468878042854953559214112527023171851<151>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:579658216
Step 1 took 4266ms
********** Factor found in step 2: 305711037682393890585823854172777571
Found prime factor of 36 digits: 305711037682393890585823854172777571
Composite cofactor 3720181840549746046677984633826997823903784731255716614367558541971081869654119538844096926203562828342259407310425468878042854953559214112527023171851 has 151 digits

GMP-ECM

5483627030177080581780525681391403350682949926810146930341019388891115204567341445398940405346729840222231239398111128156189584345880401223738631854115155321913719321445754216358481838627855172932846872292424583<211>

4502555027829376456073825248980759271900174962135896931875306715935802946215633462547070904018861803228551648644830154292045454658180585661640794242730811137627192451940228549880770407950222290046701901062442368913648851005918460022825290109<241>

3402268690497269641440447948438359167<37>

1323397837567993751811331755929809146775244768974643580399093036025264204896987283988947371847885267178376333350811405446512602620186791152769401997882175311329307031682783273923634930625211177443939277827<205>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3100316409
Step 1 took 10156ms
********** Factor found in step 2: 3402268690497269641440447948438359167
Found prime factor of 37 digits: 3402268690497269641440447948438359167
Composite cofactor 1323397837567993751811331755929809146775244768974643580399093036025264204896987283988947371847885267178376333350811405446512602620186791152769401997882175311329307031682783273923634930625211177443939277827 has 205 digits
 

GMP-ECM

5314377944975255438532614942258904373917347641778164513996820184666974230461466934018606697011136471853365890676382574479281153268026234738589760220276931250591091134496894698542511842443867508890848314826826570425887641314881851234126575978893802297658385623895009<265>

256128803129219936616677163552891640214878689447171673726579022603862653622451086835264350867312417231771267074242989074166010352058776915666079927079127207415189511431849743840845950945448044989171217539893805235257903837535420931125404718872572481587861684392606391777918787327322527301703<291>

17595423944102103596982852086817088670653428884488377816829541446962746858485591465619832592835672738521092918199708205924227942268155184258031724866914999601566491816740719743036815353525252748694231864184322233704700606502630011604375859999419599340956541166805681625502711457963<281>

363198959844917744296481277843387284250567476465973242928146236793336052749030531419864891544895695295819807823543183655244458606282707137430163071853841104564182085874411525181294704387790080582651366428489941803647203058365040699900169945954047327570368776060012230749315871428425091801701703<294>

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