947344943992966911135796213651727848909849572449693276774133477113228833065911389143318673847<93>

2859175148601387952373843086591492200846228827<46>
331335051109539793467506535347466910775850850261<48>

P46 = 2859175148601387952373843086591492200846228827
P48 = 331335051109539793467506535347466910775850850261

695437927197583849944364965824193292004450802734064536639643935781274837068828485137498013034493721189<102>

745349154574774207987374502415802694485525898929521<51>
933036447320229419503072821979247125074924842195509<51>

Number: 38888_105
N = 695437927197583849944364965824193292004450802734064536639643935781274837068828485137498013034493721189 (102 digits)
SNFS difficulty: 107 digits.
Divisors found:
r1=745349154574774207987374502415802694485525898929521 (pp51)
r2=933036447320229419503072821979247125074924842195509 (pp51)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 0.36 hours.
Factorization parameters were as follows:
n: 695437927197583849944364965824193292004450802734064536639643935781274837068828485137498013034493721189
m: 100000000000000000000000000
deg: 4
c4: 175
c0: -4
skew: 0.39
# Murphy_E = 1.773e-07
type: snfs
lss: 1
rlim: 410000
alim: 410000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 410000/410000
Large primes per side: 3
Large prime bits: 25/25
Sieved rational special-q in [0, 0)
Total raw relations: 1454731
Relations: 50390 relations
Pruned matrix : 36831 x 37057
Polynomial selection time: 0.00 hours.
Total sieving time: 0.34 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
time per square root: 0.00 hours.
Prototype def-par.txt line would be: snfs,107,4,0,0,0,0,0,0,0,0,410000,410000,25,25,44,44,2.2,2.2,20000
total time: 0.36 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 12, speed: 3.19GHz

GGNFS, Msieve

516298810065015441056988083951734311338026103927685545001843959936069979173631313817<84>

5478760179738753974574418574757433026961<40>
94236431807028708877865717452368610421602697<44>

P44 = 94236431807028708877865717452368610421602697
P40 = 5478760179738753974574418574757433026961

4861111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<121>

46234928896940242767128101057920145029636292889760905561<56>
105139365996360644272084981622756989508356235311205557948482027551<66>

Number: 38888_121
N = 4861111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (121 digits)
SNFS difficulty: 123 digits.
Divisors found:
r1=46234928896940242767128101057920145029636292889760905561 (pp56)
r2=105139365996360644272084981622756989508356235311205557948482027551 (pp66)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 1.77 hours.
Factorization parameters were as follows:
n: 4861111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 1000000000000000000000000000000
deg: 4
c4: 175
c0: -4
skew: 0.39
# Murphy_E = 3.199e-08
type: snfs
lss: 1
rlim: 760000
alim: 760000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 760000/760000
Large primes per side: 3
Large prime bits: 25/25
Sieved rational special-q in [0, 0)
Total raw relations: 2501825
Relations: 88600 relations
Pruned matrix : 73877 x 74102
Polynomial selection time: 0.00 hours.
Total sieving time: 1.73 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: snfs,123,4,0,0,0,0,0,0,0,0,760000,760000,25,25,46,46,2.2,2.2,75000
total time: 1.77 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 12, speed: 3.19GHz

GGNFS, Msieve

3741970449765243494002315543986228667639403838499539863014807119206762579793590228228857<88>

18188000248693555139665116508033619102933<41>
205738420859875972154119345190446936632504948629<48>

P48 = 205738420859875972154119345190446936632504948629
P41 = 18188000248693555139665116508033619102933

5443573472688814234166977728007963170337190493965409978847828791837750404379743685454771680975488366305835510762722408859027<124>

7698346826242140871576858208768019097<37>
707109408754195058869258593807670911444980155041878838133648157953417700387233167079691<87>

Number: 38888_127
N = 5443573472688814234166977728007963170337190493965409978847828791837750404379743685454771680975488366305835510762722408859027 (124 digits)
SNFS difficulty: 128 digits.
Divisors found:
r1=7698346826242140871576858208768019097 (pp37)
r2=707109408754195058869258593807670911444980155041878838133648157953417700387233167079691 (pp87)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 1.63 hours.
Factorization parameters were as follows:
n: 5443573472688814234166977728007963170337190493965409978847828791837750404379743685454771680975488366305835510762722408859027
m: 50000000000000000000000000000000
deg: 4
c4: 7
c0: -1
skew: 0.61
# Murphy_E = 2.173e-08
type: snfs
lss: 1
rlim: 940000
alim: 940000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 940000/940000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 2955622
Relations: 154696 relations
Pruned matrix : 97930 x 98155
Polynomial selection time: 0.00 hours.
Total sieving time: 1.58 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: snfs,128,4,0,0,0,0,0,0,0,0,940000,940000,26,26,46,46,2.3,2.3,75000
total time: 1.63 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 12, speed: 3.19GHz

GGNFS, Msieve

63882120951509321437885297849180606974493857056572251677880923884353024826999440832351846576841<95>

205491643485138010141348740479280998969051<42>
310874543937985175330034619691864616128699178922933291<54>

Number: 38888_129
N = 63882120951509321437885297849180606974493857056572251677880923884353024826999440832351846576841 (95 digits)
SNFS difficulty: 131 digits.
Divisors found:
r1=205491643485138010141348740479280998969051 (pp42)
r2=310874543937985175330034619691864616128699178922933291 (pp54)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 2.29 hours.
Factorization parameters were as follows:
n: 63882120951509321437885297849180606974493857056572251677880923884353024826999440832351846576841
m: 100000000000000000000000000000000
deg: 4
c4: 175
c0: -4
skew: 0.39
# Murphy_E = 1.317e-08
type: snfs
lss: 1
rlim: 1040000
alim: 1040000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1040000/1040000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 3367750
Relations: 193638 relations
Pruned matrix : 125873 x 126098
Polynomial selection time: 0.00 hours.
Total sieving time: 2.22 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: snfs,131,4,0,0,0,0,0,0,0,0,1040000,1040000,26,26,47,47,2.3,2.3,100000
total time: 2.29 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 12, speed: 3.19GHz

GGNFS, Msieve

4179154839174134643841364233930712805150434824270591515021604407552450519691049972558080334066726921081<103>

12228051433046410469479852067611190130449616149<47>
341767849281360888883586768357901625890163534143453773269<57>

Number: 38888_130
N = 4179154839174134643841364233930712805150434824270591515021604407552450519691049972558080334066726921081 (103 digits)
SNFS difficulty: 132 digits.
Divisors found:
r1=12228051433046410469479852067611190130449616149 (pp47)
r2=341767849281360888883586768357901625890163534143453773269 (pp57)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 2.44 hours.
Factorization parameters were as follows:
n: 4179154839174134643841364233930712805150434824270591515021604407552450519691049972558080334066726921081
m: 500000000000000000000000000000000
deg: 4
c4: 7
c0: -10
skew: 1.09
# Murphy_E = 1.427e-08
type: snfs
lss: 1
rlim: 1090000
alim: 1090000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1090000/1090000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 3727847
Relations: 177878 relations
Pruned matrix : 121446 x 121671
Polynomial selection time: 0.00 hours.
Total sieving time: 2.40 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
time per square root: 0.00 hours.
Prototype def-par.txt line would be: snfs,132,4,0,0,0,0,0,0,0,0,1090000,1090000,26,26,47,47,2.3,2.3,100000
total time: 2.44 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 12, speed: 3.19GHz

GGNFS, Msieve

51587722711568620514815993962762507811855153466105392243564800075465468652351810581673682596955439999056681641845602367729078967538057<134>

717189032705012430811242306622159103019859<42>
71930440036144844635062981726350838418068698748061390291826288595923216232252699367893020723<92>

Number: 38888_138
N = 51587722711568620514815993962762507811855153466105392243564800075465468652351810581673682596955439999056681641845602367729078967538057 (134 digits)
SNFS difficulty: 140 digits.
Divisors found:
r1=717189032705012430811242306622159103019859 (pp42)
r2=71930440036144844635062981726350838418068698748061390291826288595923216232252699367893020723 (pp92)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 6.01 hours.
Factorization parameters were as follows:
n: 51587722711568620514815993962762507811855153466105392243564800075465468652351810581673682596955439999056681641845602367729078967538057
m: 50000000000000000000000000000000000
deg: 4
c4: 7
c0: -10
skew: 1.09
# Murphy_E = 5.735e-09
type: snfs
lss: 1
rlim: 1490000
alim: 1490000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1490000/1490000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 4732397
Relations: 217180 relations
Pruned matrix : 159004 x 159238
Polynomial selection time: 0.00 hours.
Total sieving time: 5.95 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
time per square root: 0.00 hours.
Prototype def-par.txt line would be: snfs,140,4,0,0,0,0,0,0,0,0,1490000,1490000,26,26,48,48,2.3,2.3,100000
total time: 6.01 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 12, speed: 3.19GHz

GGNFS, Msieve

2561597708868798434504172625976693907433164837509858589934789670940604755042886632433635984527327408273641<106>

216216784652105306877067182595542964880230397<45>
11847358256623931853902090644949784223774284907136112204085853<62>

Number: 38888_142
N = 2561597708868798434504172625976693907433164837509858589934789670940604755042886632433635984527327408273641 (106 digits)
SNFS difficulty: 144 digits.
Divisors found:
r1=216216784652105306877067182595542964880230397 (pp45)
r2=11847358256623931853902090644949784223774284907136112204085853 (pp62)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 6.60 hours.
Factorization parameters were as follows:
n: 2561597708868798434504172625976693907433164837509858589934789670940604755042886632433635984527327408273641
m: 500000000000000000000000000000000000
deg: 4
c4: 7
c0: -10
skew: 1.09
# Murphy_E = 3.611e-09
type: snfs
lss: 1
rlim: 1730000
alim: 1730000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1730000/1730000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 5171821
Relations: 265260 relations
Pruned matrix : 188188 x 188415
Polynomial selection time: 0.00 hours.
Total sieving time: 6.53 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
time per square root: 0.00 hours.
Prototype def-par.txt line would be: snfs,144,4,0,0,0,0,0,0,0,0,1730000,1730000,26,26,48,48,2.3,2.3,100000
total time: 6.60 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 12, speed: 3.19GHz

GGNFS, Msieve

3370264461550077947786533807179511118628906260559461951651866570842888727629495901206030007603304013077405774357<112>

8203394458462551724773587229266703653281392089<46>
410837791430758505987969055535588308392449285981916004489110854813<66>

Number: 38888_148
N = 3370264461550077947786533807179511118628906260559461951651866570842888727629495901206030007603304013077405774357 (112 digits)
SNFS difficulty: 150 digits.
Divisors found:
r1=8203394458462551724773587229266703653281392089 (pp46)
r2=410837791430758505987969055535588308392449285981916004489110854813 (pp66)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 6.65 hours.
Factorization parameters were as follows:
n: 3370264461550077947786533807179511118628906260559461951651866570842888727629495901206030007603304013077405774357
m: 500000000000000000000000000000
deg: 5
c5: 7
c0: -5
skew: 0.93
# Murphy_E = 1.916e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 5649075
Relations: 347118 relations
Pruned matrix : 238818 x 239043
Polynomial selection time: 0.00 hours.
Total sieving time: 6.55 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.02 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: snfs,150,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 6.65 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 12, speed: 3.19GHz

GGNFS, Msieve

3901447409378363827202818829301044878925606008549381890243486130877425112381921246199145344942910370270545576214902121<118>

27098462270806294448751247376620157331715811551<47>
143973018483099306196533310686732716090857286801832606138302952190182071<72>

N=3901447409378363827202818829301044878925606008549381890243486130877425112381921246199145344942910370270545576214902121
  ( 118 digits)
SNFS difficulty: 149 digits.
Divisors found:
p47 factor: 27098462270806294448751247376620157331715811551
p72 factor: 143973018483099306196533310686732716090857286801832606138302952190182071
Version: Msieve v. 1.54 (SVN 1025)
Total time: 5.73 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3901447409378363827202818829301044878925606008549381890243486130877425112381921246199145344942910370270545576214902121
m: 500000000000000000000000000000
deg: 5
c5: 14
c0: -1
skew: 0.59
# Murphy_E = 2.127e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 2200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 269091 x 269316
Total sieving time: 5.63 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 5.73 hours.
 --------- CPU info (if available) ----------

41872774041644207892351346760564278304801620067776619322032722119135873372258785543979774545733613899334606838775586783<119>

29083088664354060225489652510307797652833121633618107<53>
1439763655260107790314652072222323896952386221499378989868152788269<67>

N=41872774041644207892351346760564278304801620067776619322032722119135873372258785543979774545733613899334606838775586783
  ( 119 digits)
SNFS difficulty: 151 digits.
Divisors found:
p53 factor: 29083088664354060225489652510307797652833121633618107
p67 factor: 1439763655260107790314652072222323896952386221499378989868152788269
Version: Msieve v. 1.54 (SVN 1025)
Total time: 14.73 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 41872774041644207892351346760564278304801620067776619322032722119135873372258785543979774545733613899334606838775586783
m: 50000000000000000000000000000000000000
deg: 4
c4: 7
c0: -10
skew: 1.09
# Murphy_E = 1.413e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 339648 x 339873
Total sieving time: 14.59 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,151.000,4,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 14.73 hours.
 --------- CPU info (if available) ----------

43413423519464159992729712259949017560318324921303333597335256804754239202294008115696528054854782615135174409463559216113984269042851915559<140>

2199899493104491048729651327817082888477653025509697670002761500433<67>
19734275886485739923496835704850281870460747682115958839000507170513943223<74>

Number: 38888_154
N = 43413423519464159992729712259949017560318324921303333597335256804754239202294008115696528054854782615135174409463559216113984269042851915559 (140 digits)
SNFS difficulty: 153 digits.
Divisors found:
r1=2199899493104491048729651327817082888477653025509697670002761500433 (pp67)
r2=19734275886485739923496835704850281870460747682115958839000507170513943223 (pp74)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 9.29 hours.
Factorization parameters were as follows:
n: 43413423519464159992729712259949017560318324921303333597335256804754239202294008115696528054854782615135174409463559216113984269042851915559
m: 1000000000000000000000000000000
deg: 5
c5: 875
c0: -2
skew: 0.30
# Murphy_E = 1.037e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 7992056
Relations: 741790 relations
Pruned matrix : 430158 x 430390
Polynomial selection time: 0.00 hours.
Total sieving time: 9.15 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.05 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: snfs,153,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 9.29 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 12, speed: 3.19GHz

GGNFS, MSieve

523891493797142675435903767730628621055679319682050192541200533461644239260993749238037243093041488769580534390638572718875549473863855676862481261<147>

41054244025644484431331394953817250809<38>
12760958245142560179392790296330794901724870404706057565080724082771940959450636821588414036265166883104094229<110>

N=523891493797142675435903767730628621055679319682050192541200533461644239260993749238037243093041488769580534390638572718875549473863855676862481261
  ( 147 digits)
SNFS difficulty: 154 digits.
Divisors found:
p38 factor: 41054244025644484431331394953817250809
p110 factor: 12760958245142560179392790296330794901724870404706057565080724082771940959450636821588414036265166883104094229
Version: Msieve v. 1.54 (SVN 1025)
Total time: 11.23 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 523891493797142675435903767730628621055679319682050192541200533461644239260993749238037243093041488769580534390638572718875549473863855676862481261
m: 5000000000000000000000000000000
deg: 5
c5: 14
c0: -1
skew: 0.59
# Murphy_E = 1.371e-09
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
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 : 271022 x 271248
Total sieving time: 11.12 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 11.23 hours.
 --------- CPU info (if available) ----------

11397833002878044364649393734057707512204423671748421301776468844982244828616690541165044315870296456587542965533<113>

670810671675263422149444238067238132617<39>
16991132497062727984671824394024911364135122899557786311021607392397736949<74>

08/16/21 21:20:42 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing nfs on c113: 11397833002878044364649393734057707512204423671748421301776468844982244828616690541165044315870296456587542965533
08/16/21 21:20:42 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing poly selection with 8 threads
08/16/21 21:20:42 v1.34.5 @ DESKTOP-RJPVCOL, nfs: setting deadline of 650 seconds
08/16/21 21:31:31 v1.34.5 @ DESKTOP-RJPVCOL, nfs: completed 181 ranges of size 250 in 648.7204 seconds
08/16/21 21:31:31 v1.34.5 @ DESKTOP-RJPVCOL, nfs: best poly = # norm 1.142164e-010 alpha -6.170543 e 7.576e-010 rroots 3
08/16/21 21:31:31 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/16/21 21:37:37 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/16/21 21:43:51 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/16/21 21:50:07 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/16/21 21:56:39 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/16/21 22:03:00 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/16/21 22:09:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/16/21 22:15:37 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/16/21 22:22:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/16/21 22:28:26 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/16/21 22:34:57 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/16/21 22:40:54 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/16/21 22:46:40 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/16/21 22:52:44 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/16/21 22:58:19 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/16/21 23:04:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/16/21 23:10:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/16/21 23:16:17 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/16/21 23:22:35 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/16/21 23:28:24 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
08/16/21 23:34:42 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
08/16/21 23:36:13 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
08/16/21 23:38:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
08/16/21 23:40:48 v1.34.5 @ DESKTOP-RJPVCOL, prp74 = 16991132497062727984671824394024911364135122899557786311021607392397736949
08/16/21 23:40:49 v1.34.5 @ DESKTOP-RJPVCOL, prp39 = 670810671675263422149444238067238132617
08/16/21 23:40:49 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 8406.2330 seconds.

1307779653970071325099087474196418597041737738978869959723703195484559515296773354189834178664137152618918644066322317699626091<127>

29775117015061907244094302301104267370073308747976617<53>
43921898050258669703347429494996113388428445413448853128501265820506996723<74>

N=1307779653970071325099087474196418597041737738978869959723703195484559515296773354189834178664137152618918644066322317699626091
  ( 127 digits)
SNFS difficulty: 159 digits.
Divisors found:
p53 factor: 29775117015061907244094302301104267370073308747976617
p74 factor: 43921898050258669703347429494996113388428445413448853128501265820506996723
Version: Msieve v. 1.54 (SVN 1025)
Total time: 14.31 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1307779653970071325099087474196418597041737738978869959723703195484559515296773354189834178664137152618918644066322317699626091
m: 50000000000000000000000000000000
deg: 5
c5: 14
c0: -1
skew: 0.59
# Murphy_E = 8.793e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 2500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 423359 x 423584
Total sieving time: 14.10 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 14.31 hours.
 --------- CPU info (if available) ----------

171924159447952356919555182644066183531533152950814169385400917137365953273445252077219977830254604003445416273398621633<120>

35588796575586261998297684490461861873913045641<47>
4830850604425648882473543565925000653247902390641090173412212840881896313<73>

Number: 38888_161
N = 171924159447952356919555182644066183531533152950814169385400917137365953273445252077219977830254604003445416273398621633 (120 digits)
SNFS difficulty: 166 digits.
Divisors found:
r1=35588796575586261998297684490461861873913045641 (pp47)
r2=4830850604425648882473543565925000653247902390641090173412212840881896313 (pp73)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 2.87 hours.
Factorization parameters were as follows:
n: 171924159447952356919555182644066183531533152950814169385400917137365953273445252077219977830254604003445416273398621633
m: 10000000000000000000000000000000000000000000000000000000
deg: 3
c3: 7
c0: -16000
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 8582039
Relations: 1674992 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 1.37 hours.
Total relation processing time: 0.10 hours.
Pruned matrix : 1500268 x 1500493
Matrix solve time: 1.35 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: snfs,166,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 2.87 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

14798568159140245987137344976184765227298867280646324187553885216428959955105557844833657475951873229332471212539746468593183610441977333847<140>

118702767354075543306265582079094106417315355462230513<54>
124669108303077414625200302196891486471016471521742672102017381816247192080022694315719<87>

Number: 38888_162
N = 14798568159140245987137344976184765227298867280646324187553885216428959955105557844833657475951873229332471212539746468593183610441977333847 (140 digits)
SNFS difficulty: 166 digits.
Divisors found:
r1=118702767354075543306265582079094106417315355462230513 (pp54)
r2=124669108303077414625200302196891486471016471521742672102017381816247192080022694315719 (pp87)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 2.01 hours.
Factorization parameters were as follows:
n: 14798568159140245987137344976184765227298867280646324187553885216428959955105557844833657475951873229332471212539746468593183610441977333847
m: 10000000000000000000000000000000000000000000000000000000
deg: 3
c3: 7
c0: -1600
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 7889740
Relations: 1436386 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 0.96 hours.
Total relation processing time: 0.10 hours.
Pruned matrix : 1309688 x 1309913
Matrix solve time: 0.94 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: snfs,166,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 2.01 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

422642101145860084917421015660334828061440927034879555315614290252526530623736327335316740142187825147595766055669391675341843<126>

11782569695272600551202821210868386597840913716893274223<56>
35870112554091866329797961439684684018253096648435233958287669681526941<71>

Number: 38888_163
N = 422642101145860084917421015660334828061440927034879555315614290252526530623736327335316740142187825147595766055669391675341843 (126 digits)
SNFS difficulty: 166 digits.
Divisors found:
r1=11782569695272600551202821210868386597840913716893274223 (pp56)
r2=35870112554091866329797961439684684018253096648435233958287669681526941 (pp71)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 11.33 hours.
Factorization parameters were as follows:
n: 422642101145860084917421015660334828061440927034879555315614290252526530623736327335316740142187825147595766055669391675341843
m: 10000000000000000000000000000000000000000000000000000000
deg: 3
c3: 7
c0: -160
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 7299845
Relations: 1193144 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 10.81 hours.
Total relation processing time: 0.07 hours.
Pruned matrix : 1135058 x 1135283
Matrix solve time: 0.43 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: snfs,166,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 11.33 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

46156361172910045434075735493345705106389546983856121371157830021837243679568144864199187262319183369049601195737<113>

2314580588383022048753571195187107946098171719<46>
19941565830358543573155378058918039278339595848258205441866291609823<68>

N=46156361172910045434075735493345705106389546983856121371157830021837243679568144864199187262319183369049601195737
  ( 113 digits)
Divisors found:
p46 factor: 2314580588383022048753571195187107946098171719
p68 factor: 19941565830358543573155378058918039278339595848258205441866291609823
Version: Msieve v. 1.54 (SVN 1025)
Total time: 13.73 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 46156361172910045434075735493345705106389546983856121371157830021837243679568144864199187262319183369049601195737
skew: 67035.94
c0: -1726809768824720291566346165
c1: 173854582504330378463022
c2: -6352300029712985213
c3: -67358819468508
c4: 1906036948
c5: 8976
Y0: -5523621709588422615018
Y1: 1741816343819
rlim: 3980000
alim: 3980000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 3980000/3980000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [1990000, 2690001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 501242 x 501467
Total sieving time: 13.46 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3980000,3980000,27,27,54,54,2.5,2.5,100000
total time: 13.73 hours.
 --------- CPU info (if available) ----------

2840979067871528552837446095284147892384026308952706410670325185724811582866197099837863333203324471887815179516815249034224519640874378438868269<145>

8443002804814009181299351901336381046254812254189155305856767478902973<70>
336489177316353201236490904407158924032134024071723123263031766861690395953<75>

Number: 38888_165
N = 2840979067871528552837446095284147892384026308952706410670325185724811582866197099837863333203324471887815179516815249034224519640874378438868269 (145 digits)
SNFS difficulty: 167 digits.
Divisors found:
r1=8443002804814009181299351901336381046254812254189155305856767478902973 (pp70)
r2=336489177316353201236490904407158924032134024071723123263031766861690395953 (pp75)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 1.58 hours.
Factorization parameters were as follows:
n: 2840979067871528552837446095284147892384026308952706410670325185724811582866197099837863333203324471887815179516815249034224519640874378438868269
m: 10000000000000000000000000000000000000000000000000000000
deg: 3
c3: 35
c0: -8
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 9267674
Relations: 1386910 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 0.90 hours.
Total relation processing time: 0.12 hours.
Pruned matrix : 1198759 x 1199007
Matrix solve time: 0.50 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: snfs,167,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 1.58 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

2712479355897927415036990514746258285238356749149473032230042593936986337785433787615727856744088379715754229279084267801457<124>

32097582707137380580594359589037858190054082190687707<53>
84507278340769468838807608224463273238755896421394832922800247155641251<71>

Number: 38888_166
N = 2712479355897927415036990514746258285238356749149473032230042593936986337785433787615727856744088379715754229279084267801457 (124 digits)
SNFS difficulty: 168 digits.
Divisors found:
r1=32097582707137380580594359589037858190054082190687707 (pp53)
r2=84507278340769468838807608224463273238755896421394832922800247155641251 (pp71)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 1.52 hours.
Factorization parameters were as follows:
n: 2712479355897927415036990514746258285238356749149473032230042593936986337785433787615727856744088379715754229279084267801457
m: 10000000000000000000000000000000000000000000000000000000
deg: 3
c3: 175
c0: -4
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 8395383
Relations: 1355234 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 0.85 hours.
Total relation processing time: 0.08 hours.
Pruned matrix : 1265649 x 1265875
Matrix solve time: 0.56 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: snfs,168,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 1.52 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

157301461251241887986990715840582115217934945692055991585121511620247073740290494384884394759610207446802678481026962675814840431772319559211349477481<150>

11325884520592140748149033239251740887624809<44>
13888669001104899234296817168271027636433512414755972423791346083471329678653304773458726106861467445623809<107>

Number: 38888_167
N = 157301461251241887986990715840582115217934945692055991585121511620247073740290494384884394759610207446802678481026962675814840431772319559211349477481 (150 digits)
SNFS difficulty: 168 digits.
Divisors found:
r1=11325884520592140748149033239251740887624809 (pp44)
r2=13888669001104899234296817168271027636433512414755972423791346083471329678653304773458726106861467445623809 (pp107)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 2.40 hours.
Factorization parameters were as follows:
n: 157301461251241887986990715840582115217934945692055991585121511620247073740290494384884394759610207446802678481026962675814840431772319559211349477481
m: 10000000000000000000000000000000000000000000000000000000
deg: 3
c3: 875
c0: -2
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 8710057
Relations: 1676572 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 1.05 hours.
Total relation processing time: 0.08 hours.
Pruned matrix : 1520230 x 1520455
Matrix solve time: 1.24 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: snfs,168,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 2.40 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

54739121765862910099526974515947541613056154733088222801376255224118107982370669121329462673720269394922536296096754552898997325293<131>

5323916969925753645844483661910906049606767812588266232975813<61>
10281738440903275712270295890012633253177391447508608858149838094013961<71>

Number: 38888_168
N = 54739121765862910099526974515947541613056154733088222801376255224118107982370669121329462673720269394922536296096754552898997325293 (131 digits)
SNFS difficulty: 169 digits.
Divisors found:
r1=5323916969925753645844483661910906049606767812588266232975813 (pp61)
r2=10281738440903275712270295890012633253177391447508608858149838094013961 (pp71)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 2.49 hours.
Factorization parameters were as follows:
n: 54739121765862910099526974515947541613056154733088222801376255224118107982370669121329462673720269394922536296096754552898997325293
m: 10000000000000000000000000000000000000000000000000000000
deg: 3
c3: 4375
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 7620441
Relations: 1947756 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 1.31 hours.
Total relation processing time: 0.08 hours.
Pruned matrix : 1663317 x 1663542
Matrix solve time: 1.04 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,169,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 2.49 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

235149906582515269575900463046637149505815287559014692736371122448219619898405822515982943026310631<99>

316727071717809143491533651511710003049<39>
742437030428596299769879934992263566320909155181288188762319<60>

P39 = 316727071717809143491533651511710003049
P60 = 742437030428596299769879934992263566320909155181288188762319

12372598959659278251127961770767607436388417605989430644415207781001073118635116194300775946341845418411475317155737404197234091503856202561034094298508155003388098359<167>

1908166164822601368423502558057768177390144994725457680848082181<64>
6484025965741581831557628352663634249322890197296784016852708480060941474543890308359364369500622819339<103>

12372598959659278251127961770767607436388417605989430644415207781001073118635116194300775946341845418411475317155737404197234091503856202561034094298508155003388098359=1908166164822601368423502558057768177390144994725457680848082181*6484025965741581831557628352663634249322890197296784016852708480060941474543890308359364369500622819339

cado polynomial
n: 12372598959659278251127961770767607436388417605989430644415207781001073118635116194300775946341845418411475317155737404197234091503856202561034094298508155003388098359
skew: 0.59
type: snfs
c0: -1
c5: 14
Y0: 50000000000000000000000000000000000
Y1: -1
# f(x) = 14*x^5-1
# g(x) = -x+50000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5700000
tasks.lim1 = 5700000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6484025965741581831557628352663634249322890197296784016852708480060941474543890308359364369500622819339 1908166164822601368423502558057768177390144994725457680848082181
Info:Square Root: Total cpu/real time for sqrt: 174.28/56.84
Info:Filtering - Singleton removal: Total cpu/real time for purge: 48.73/54.969
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11641659
Info:Lattice Sieving: Average J: 1892.04 for 409373 special-q, max bucket fill -bkmult 1.0,1s:1.168510
Info:Lattice Sieving: Total time: 57619.8s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.42/1.34378
Info:Linear Algebra: Total cpu/real time for bwc: 9918.9/2550.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6247.23, WCT time 1598.64, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Linear Algebra: Lingen CPU time 144.53, WCT time 36.76
Info:Linear Algebra: Mksol: CPU time 3400.8,  WCT time 868.99, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.28/17.0188
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.1/51.5422
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.4s
Info:Filtering - Merging: Merged matrix has 805900 rows and total weight 137393840 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 181.84/51.2887
Info:Filtering - Merging: Total cpu/real time for replay: 29.24/24.4141
Info:Quadratic Characters: Total cpu/real time for characters: 28.63/11.2659
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 105.43/89.4474
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 81.69999999999999s
Info:Square Root: Total cpu/real time for sqrt: 174.28/56.84
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 117527/31907.8
Info:root: Cleaning up computation data in /tmp/cado.v8pxb1o_
6484025965741581831557628352663634249322890197296784016852708480060941474543890308359364369500622819339 1908166164822601368423502558057768177390144994725457680848082181

cado-nfs-3.0.0

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

44597349643221202854230377166156982670744138634046890927624872579001019367991845056065239551478083588175331294597349643221202854230377166156982670744138634046890927624872579<173>

1739435997940732891985581776700206283<37>
25638971307951941406307111823834586077895896079750928259060938217482246716615953612738019118651562879876637508488012984546622262209782313<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2755389942
Step 1 took 7016ms
********** Factor found in step 1: 1739435997940732891985581776700206283
Found prime factor of 37 digits: 1739435997940732891985581776700206283
Prime cofactor 25638971307951941406307111823834586077895896079750928259060938217482246716615953612738019118651562879876637508488012984546622262209782313 has 137 digits
 

GMP-ECM

361115339084529499799543589773938463762963277826280874518874427597466453647892722525679536534717822185805986609639662641143272404273792794677187137064919<153>

551355889710193101617607596086593942014819399354655609347<57>
654958704212520610663876201774750921064710732854523855917222360031478992834441866414383889771677<96>

361115339084529499799543589773938463762963277826280874518874427597466453647892722525679536534717822185805986609639662641143272404273792794677187137064919=551355889710193101617607596086593942014819399354655609347*654958704212520610663876201774750921064710732854523855917222360031478992834441866414383889771677

cado polynomial
n: 361115339084529499799543589773938463762963277826280874518874427597466453647892722525679536534717822185805986609639662641143272404273792794677187137064919
skew: 0.47
type: snfs
c0: -4
c5: 175
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 175*x^5-4
# g(x) = -x+100000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 551355889710193101617607596086593942014819399354655609347 654958704212520610663876201774750921064710732854523855917222360031478992834441866414383889771677
Info:Square Root: Total cpu/real time for sqrt: 184/59.5297
Info:Filtering - Singleton removal: Total cpu/real time for purge: 140.31/134.237
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22438891
Info:Lattice Sieving: Average J: 1893.17 for 643090 special-q, max bucket fill -bkmult 1.0,1s:1.184270
Info:Lattice Sieving: Total time: 106463s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.66/1.46856
Info:Linear Algebra: Total cpu/real time for bwc: 9843.68/2531.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6197.12, WCT time 1585.51, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Linear Algebra: Lingen CPU time 145.0, WCT time 36.87
Info:Linear Algebra: Mksol: CPU time 3374.79,  WCT time 862.91, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.46/32.1725
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.83/101.013
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 100.9s
Info:Filtering - Merging: Merged matrix has 806467 rows and total weight 137879610 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 183.86/51.2573
Info:Filtering - Merging: Total cpu/real time for replay: 27.09/22.7617
Info:Quadratic Characters: Total cpu/real time for characters: 26.73/10.5077
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 212.76/182.056
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 164.60000000000002s
Info:Square Root: Total cpu/real time for sqrt: 184/59.5297
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 208965/56659.8
Info:root: Cleaning up computation data in /tmp/cado.8ibledxm
551355889710193101617607596086593942014819399354655609347 654958704212520610663876201774750921064710732854523855917222360031478992834441866414383889771677

cado-nfs-3.0.0

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

21641648620444335172479077324553431940067221053095398169041498375606891852402954587260824100102919171<101>

4351100244024182253647142397680718221781247<43>
4973833606837042724451618683880057033551341393206749245693<58>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3874501104
Step 1 took 3593ms
Step 2 took 2578ms
********** Factor found in step 2: 4351100244024182253647142397680718221781247
Found prime factor of 43 digits: 4351100244024182253647142397680718221781247
Prime cofactor 4973833606837042724451618683880057033551341393206749245693 has 58 digits
 

GMP-ECM

264066585645541606306911186618140254754384832328616326468687607827264610964015288243725292489877666576893590143670993063295827988361429705150684799236347266416969901<165>

2330597748397150191897267967571552041<37>
113304230997026952084598665415699194181472420712421999727492175834372976316559776285127147040543977304208403027066762947854719461<129>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:904282458
Step 1 took 7188ms
Step 2 took 3828ms
********** Factor found in step 2: 2330597748397150191897267967571552041
Found prime factor of 37 digits: 2330597748397150191897267967571552041
Prime cofactor 113304230997026952084598665415699194181472420712421999727492175834372976316559776285127147040543977304208403027066762947854719461 has 129 digits
 

GMP-ECM

4034007329599647100226648038951025991917173182160147045017039761485143761394422013720178733592715623628242461751173192391526881786929176286318055181831110122223821393<166>

631613277909905433980076930026016078320455261<45>
16319675721549797314344353387555442941188639621<47>
391357721430065724955961746394369894751148922035346079270042497795394641153<75>

4034007329599647100226648038951025991917173182160147045017039761485143761394422013720178733592715623628242461751173192391526881786929176286318055181831110122223821393=391357721430065724955961746394369894751148922035346079270042497795394641153*16319675721549797314344353387555442941188639621 631613277909905433980076930026016078320455261

cado polynomial
n: 4034007329599647100226648038951025991917173182160147045017039761485143761394422013720178733592715623628242461751173192391526881786929176286318055181831110122223821393
skew: 0.59
type: snfs
c0: -1
c5: 14
Y0: 500000000000000000000000000000000000
Y1: -1
# f(x) = 14*x^5-1
# g(x) = -x+500000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6900000
tasks.lim1 = 6900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 391357721430065724955961746394369894751148922035346079270042497795394641153 16319675721549797314344353387555442941188639621 631613277909905433980076930026016078320455261
Info:Square Root: Total cpu/real time for sqrt: 601.07/183.795
Info:Filtering - Singleton removal: Total cpu/real time for purge: 136.7/133.276
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22419788
Info:Lattice Sieving: Average J: 1893.85 for 689927 special-q, max bucket fill -bkmult 1.0,1s:1.221520
Info:Lattice Sieving: Total time: 118191s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.91/1.59988
Info:Linear Algebra: Total cpu/real time for bwc: 11700.3/3008.02
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7374.38, WCT time 1886.6, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (27392 iterations)
Info:Linear Algebra: Lingen CPU time 152.78, WCT time 38.84
Info:Linear Algebra: Mksol: CPU time 4033.87,  WCT time 1031.68, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13824 iterations)
Info:Square Root: Total cpu/real time for sqrt: 601.07/183.795
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 87.5/99.7466
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 99.7s
Info:Filtering - Merging: Merged matrix has 875667 rows and total weight 149138886 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 204.76/56.9422
Info:Filtering - Merging: Total cpu/real time for replay: 30.14/25.3949
Info:Quadratic Characters: Total cpu/real time for characters: 29.01/11.4568
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 211.87/179.314
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 162.5s
Info:Generate Free Relations: Total cpu/real time for freerel: 118.04/31.9258
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 233200/63106.4
Info:root: Cleaning up computation data in /tmp/cado.joqcyqt0
391357721430065724955961746394369894751148922035346079270042497795394641153 16319675721549797314344353387555442941188639621 631613277909905433980076930026016078320455261

cado-nfs-3.0.0

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

26191621285683096165869806457790017309656572749691553945653861041573067294401698009005608059845236184367080010158135283367651624351826440843441788466557433<155>

16725216569095988163566032110319492767781<41>
1565995942562480973228668774215795383220281513046451475954514084495647528587107343823359475584493108325988952909893<115>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1899751708
Step 1 took 7203ms
Step 2 took 3828ms
********** Factor found in step 2: 16725216569095988163566032110319492767781
Found prime factor of 41 digits: 16725216569095988163566032110319492767781
Prime cofactor 1565995942562480973228668774215795383220281513046451475954514084495647528587107343823359475584493108325988952909893 has 115 digits
 

GMP-ECM

3346112988683702789423010172346447600682870143462494135519471658932780460364450286501518233042329220439393874650483067<118>

48902743869219714870212831847777696923<38>
68423829092948049456500489677369550127648127334133497211581567021529440341460129<80>

3346112988683702789423010172346447600682870143462494135519471658932780460364450286501518233042329220439393874650483067=48902743869219714870212831847777696923*68423829092948049456500489677369550127648127334133497211581567021529440341460129

cado polynomial
n: 3346112988683702789423010172346447600682870143462494135519471658932780460364450286501518233042329220439393874650483067
skew: 46036.532
c0: 24928765966184652985791264876
c1: 1650361480585024522827529
c2: -47449843192560506202
c3: -1998142512245509
c4: 13064783586
c5: 80640
Y0: -18919718092506059228830
Y1: 952470623703401147
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.868e-06
# f(x) = 80640*x^5+13064783586*x^4-1998142512245509*x^3-47449843192560506202*x^2+1650361480585024522827529*x+24928765966184652985791264876
# g(x) = 952470623703401147*x-18919718092506059228830

cado parameters (extracts)
tasks.lim0 = 300000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 48902743869219714870212831847777696923 68423829092948049456500489677369550127648127334133497211581567021529440341460129
Info:Square Root: Total cpu/real time for sqrt: 265.65/70.5089
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1100.5
Info:Polynomial Selection (root optimized): Rootsieve time: 1098.09
Info:Generate Factor Base: Total cpu/real time for makefb: 5.12/1.3662
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 55.51/58.9733
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 58.8s
Info:Filtering - Merging: Merged matrix has 525836 rows and total weight 52659587 (100.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 37.59/12.7269
Info:Filtering - Merging: Total cpu/real time for replay: 12.19/9.6611
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 130.43/112.779
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 99.5s
Info:Quadratic Characters: Total cpu/real time for characters: 15.54/5.99584
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20026/33.630/41.926/47.740/1.050
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15735/33.560/37.096/42.440/0.805
Info:Polynomial Selection (size optimized): Total time: 2313.57
Info:Generate Free Relations: Total cpu/real time for freerel: 126.91/33.1
Info:Linear Algebra: Total cpu/real time for bwc: 2487.91/652.96
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1494.47, WCT time 390.89, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16512 iterations)
Info:Linear Algebra: Lingen CPU time 94.29, WCT time 23.93
Info:Linear Algebra: Mksol: CPU time 867.31,  WCT time 225.2, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8320 iterations)
Info:Square Root: Total cpu/real time for sqrt: 265.65/70.5089
Info:Filtering - Singleton removal: Total cpu/real time for purge: 65.06/66.4075
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13459760
Info:Lattice Sieving: Average J: 1904.54 for 184152 special-q, max bucket fill -bkmult 1.0,1s:1.246760
Info:Lattice Sieving: Total time: 23882.8s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 50648/14097.6
Info:root: Cleaning up computation data in /tmp/cado.bpjdazcf
48902743869219714870212831847777696923 68423829092948049456500489677369550127648127334133497211581567021529440341460129

cado-nfs-3.0.0

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

2934306633128332485013098166000289696260897614667876727433522221221049692110932082196598582924458803001289298234437957254273455217075322473<139>

3989052348685653407226314226525903152873459<43>
735589903726170093670070129175413174592433057576373921630822928445259996536278468417505937636147<96>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:571937409
Step 1 took 21687ms
Step 2 took 10578ms
********** Factor found in step 2: 3989052348685653407226314226525903152873459
Found prime factor of 43 digits: 3989052348685653407226314226525903152873459
Prime cofactor 735589903726170093670070129175413174592433057576373921630822928445259996536278468417505937636147 has 96 digits
 

GMP-ECM

9570099086483654156580154577541808718421948983532376052694594332707402393312434391866865138872337544724181964459102464640934581853299968815451454934473433633455389<163>

15702029535683018303491973426640460461822830438450119198331021<62>
609481663802472718031371627518263496273519900696533853606714682858663006214526465919038699844237632209<102>

9570099086483654156580154577541808718421948983532376052694594332707402393312434391866865138872337544724181964459102464640934581853299968815451454934473433633455389=15702029535683018303491973426640460461822830438450119198331021 609481663802472718031371627518263496273519900696533853606714682858663006214526465919038699844237632209

cado polynomial
n: 9570099086483654156580154577541808718421948983532376052694594332707402393312434391866865138872337544724181964459102464640934581853299968815451454934473433633455389
skew: 0.51
type: snfs
c0: -1
c5: 14
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 14*x^5-1
# g(x) = -x+50000000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 15702029535683018303491973426640460461822830438450119198331021 609481663802472718031371627518263496273519900696533853606714682858663006214526465919038699844237632209
Info:Square Root: Total cpu/real time for sqrt: 407.02/129.035
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23538181
Info:Lattice Sieving: Average J: 1914.72 for 1350770 special-q, max bucket fill -bkmult 1.0,1s:1.144300
Info:Lattice Sieving: Total time: 242728s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.83/2.0491
Info:Generate Free Relations: Total cpu/real time for freerel: 118.48/32.499
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 94.95/110.181
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 109.80000000000001s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 355.76/349.051
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 284.29999999999995s
Info:Filtering - Merging: Merged matrix has 1647993 rows and total weight 281986190 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 429.7/119.471
Info:Filtering - Merging: Total cpu/real time for replay: 63.49/55.3536
Info:Linear Algebra: Total cpu/real time for bwc: 44224.6/11365.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 28286.13, WCT time 7226.83, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51712 iterations)
Info:Linear Algebra: Lingen CPU time 321.74, WCT time 81.7
Info:Linear Algebra: Mksol: CPU time 15317.86,  WCT time 3940.23, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25856 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 59.19/24.1127
Info:Square Root: Total cpu/real time for sqrt: 407.02/129.035
Info:Filtering - Singleton removal: Total cpu/real time for purge: 243.93/284.661
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 507668/72992.9
Info:root: Cleaning up computation data in /tmp/cado.hkuerpnd
15702029535683018303491973426640460461822830438450119198331021 609481663802472718031371627518263496273519900696533853606714682858663006214526465919038699844237632209

cado-nfs-3.0.0

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

4864212284846982624071292093137156853938214859600554614355763184943001042567690992131824559449453478419323583515789171966719607283085143275703872427422684551<157>

5410177861121874166062206701443417183133929906973<49>
899085466265673170749665470166575271791778616294884709572487603174198621575679512011718838032862857145382387<108>

4864212284846982624071292093137156853938214859600554614355763184943001042567690992131824559449453478419323583515789171966719607283085143275703872427422684551=5410177861121874166062206701443417183133929906973*899085466265673170749665470166575271791778616294884709572487603174198621575679512011718838032862857145382387

cado polynomial
n: 4864212284846982624071292093137156853938214859600554614355763184943001042567690992131824559449453478419323583515789171966719607283085143275703872427422684551
skew: 0.74
type: snfs
c0: -8
c5: 35
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 35*x^5-8
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10900000
tasks.lim1 = 10900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5410177861121874166062206701443417183133929906973 899085466265673170749665470166575271791778616294884709572487603174198621575679512011718838032862857145382387
Info:Square Root: Total cpu/real time for sqrt: 780.55/112.523
Info:Filtering - Merging: Merged matrix has 1968954 rows and total weight 336372983 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 650.79/156.875
Info:Filtering - Merging: Total cpu/real time for replay: 75.43/58.3911
Info:Generate Factor Base: Total cpu/real time for makefb: 6.03/1.05514
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 759.74/683.308
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 531.9s
Info:Quadratic Characters: Total cpu/real time for characters: 74.23/17.7755
Info:Square Root: Total cpu/real time for sqrt: 780.55/112.523
Info:Linear Algebra: Total cpu/real time for bwc: 79984.6/14655.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 51535.5, WCT time 9432.22, iteration CPU time 0.14, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (61696 iterations)
Info:Linear Algebra: Lingen CPU time 1053.52, WCT time 93.2
Info:Linear Algebra: Mksol: CPU time 27069.86,  WCT time 5032.06, iteration CPU time 0.14, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (30976 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 552.22/626.763
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25307885
Info:Lattice Sieving: Average J: 1894.97 for 2032109 special-q, max bucket fill -bkmult 1.0,1s:1.123050
Info:Lattice Sieving: Total time: 781572s
Info:Generate Free Relations: Total cpu/real time for freerel: 143.28/13.9729
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 193.65/170.876
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 169.9s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.54298e+06/146520
Info:root: Cleaning up computation data in /tmp/cado.83w41i43
5410177861121874166062206701443417183133929906973 899085466265673170749665470166575271791778616294884709572487603174198621575679512011718838032862857145382387

cado-nfs-3.0.0

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

149856221288109603458851590655884760395512331412342268874998584613940573127756660505727435880850718833699709446676542929311251733680652954338513101<147>

115288048768811551656020152670795235019217<42>
1299841769276692375899461677605750427536197773457380670400613597961244397082913073245746116071234066913853<106>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1368299743
Step 1 took 5953ms
Step 2 took 3453ms
********** Factor found in step 2: 115288048768811551656020152670795235019217
Found prime factor of 42 digits: 115288048768811551656020152670795235019217
Prime cofactor 1299841769276692375899461677605750427536197773457380670400613597961244397082913073245746116071234066913853 has 106 digits
 

GMP-ECM

5977796158924280617957158058627097417350274417834654557319940400189578375546182278667765187464512245883985992743897031873842294056149114421692874190554819364335563527795580808921689<181>

52899341642180065242123080654824375828260859830847137238600331985148233713841899<80>
113003224111163554677928606789286896910574719248378895787492197073998323374933867042005728240627819211<102>

5977796158924280617957158058627097417350274417834654557319940400189578375546182278667765187464512245883985992743897031873842294056149114421692874190554819364335563527795580808921689=52899341642180065242123080654824375828260859830847137238600331985148233713841899*113003224111163554677928606789286896910574719248378895787492197073998323374933867042005728240627819211

cado polynomial
n: 5977796158924280617957158058627097417350274417834654557319940400189578375546182278667765187464512245883985992743897031873842294056149114421692874190554819364335563527795580808921689
skew: 0.59
type: snfs
c0: -1
c5: 14
Y0: 500000000000000000000000000000000000000
Y1: -1
# f(x) = 14*x^5-1
# g(x) = -x+500000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12300000
tasks.lim1 = 12300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 52899341642180065242123080654824375828260859830847137238600331985148233713841899 113003224111163554677928606789286896910574719248378895787492197073998323374933867042005728240627819211
Info:Square Root: Total cpu/real time for sqrt: 534.22/170.642
Info:Filtering - Singleton removal: Total cpu/real time for purge: 360.16/424.334
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26354918
Info:Lattice Sieving: Average J: 1893.73 for 1950567 special-q, max bucket fill -bkmult 1.0,1s:1.147300
Info:Lattice Sieving: Total time: 424508s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.17/2.62457
Info:Linear Algebra: Total cpu/real time for bwc: 79488.2/20334.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 50789.55, WCT time 12956.28, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (67584 iterations)
Info:Linear Algebra: Lingen CPU time 480.68, WCT time 121.66
Info:Linear Algebra: Mksol: CPU time 27481.61,  WCT time 7014.52, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (33792 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 121.26/32.8443
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 107.99/124.596
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 124.1s
Info:Filtering - Merging: Merged matrix has 2157801 rows and total weight 367980537 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 597/164.804
Info:Filtering - Merging: Total cpu/real time for replay: 85.01/73.4559
Info:Quadratic Characters: Total cpu/real time for characters: 77.19/33.0033
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 461.58/460.81
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 373.5s
Info:Square Root: Total cpu/real time for sqrt: 534.22/170.642
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 879431/233953
Info:root: Cleaning up computation data in /tmp/cado.4l0jdjf2
52899341642180065242123080654824375828260859830847137238600331985148233713841899 113003224111163554677928606789286896910574719248378895787492197073998323374933867042005728240627819211

cado-nfs-3.0.0

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

74891482797762771099486001522832284475121091353813574187902566006275967883444079520074288790380312798152086983661891512115852505437382701429043669196230490334360582571104511519584493357466981<191>

37067088581986039429817264074206829988444417841108589193<56>
2020430674832086208429622906024258771671963811763441465465271215672935421622408604940714687417033855437765874874859877245318559551089917<136>

74891482797762771099486001522832284475121091353813574187902566006275967883444079520074288790380312798152086983661891512115852505437382701429043669196230490334360582571104511519584493357466981=37067088581986039429817264074206829988444417841108589193*2020430674832086208429622906024258771671963811763441465465271215672935421622408604940714687417033855437765874874859877245318559551089917

cado polynomial
n: 74891482797762771099486001522832284475121091353813574187902566006275967883444079520074288790380312798152086983661891512115852505437382701429043669196230490334360582571104511519584493357466981
skew: 0.59
type: snfs
c0: -1
c5: 14
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 14*x^5-1
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14900000
tasks.lim1 = 14900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2020430674832086208429622906024258771671963811763441465465271215672935421622408604940714687417033855437765874874859877245318559551089917 37067088581986039429817264074206829988444417841108589193
Info:Square Root: Total cpu/real time for sqrt: 648.19/205.406
Info:Filtering - Singleton removal: Total cpu/real time for purge: 421.82/490.522
Info:Generate Factor Base: Total cpu/real time for makefb: 6.31/2.86814
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28829572
Info:Lattice Sieving: Average J: 1893.76 for 3098287 special-q, max bucket fill -bkmult 1.0,1s:1.126880
Info:Lattice Sieving: Total time: 756290s
Info:Linear Algebra: Total cpu/real time for bwc: 114867/29374.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 73629.22, WCT time 18775.88, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (80384 iterations)
Info:Linear Algebra: Lingen CPU time 540.45, WCT time 137.12
Info:Linear Algebra: Mksol: CPU time 39765.98,  WCT time 10143.24, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40448 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 117.18/31.9326
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 120.95/147.567
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 146.79999999999998s
Info:Filtering - Merging: Merged matrix has 2566072 rows and total weight 439247395 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 727.33/200.346
Info:Filtering - Merging: Total cpu/real time for replay: 99.84/86.1241
Info:Quadratic Characters: Total cpu/real time for characters: 87.32/37.1483
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 526.22/536.09
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 434.09999999999985s
Info:Square Root: Total cpu/real time for sqrt: 648.19/205.406
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.5398e+06/409460
Info:root: Cleaning up computation data in /tmp/cado.elcf3jdw
2020430674832086208429622906024258771671963811763441465465271215672935421622408604940714687417033855437765874874859877245318559551089917 37067088581986039429817264074206829988444417841108589193

cado-nfs-3.0.0

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

15815808047644557869303111358844433505819483923769598126503930451655199723766295070005298054572670234796614283444063711527600421249416480416448522344239091815616777371450364710366361100747229<191>

1636314386035806227587367973359007141613<40>

9665506935962654629015006938410862391887557163374095421105409364904852972423383620690807911408323089496461596989206101585932977596298387633541199098033<151>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3200779103
Step 1 took 5078ms
********** Factor found in step 2: 1636314386035806227587367973359007141613
Found prime factor of 40 digits: 1636314386035806227587367973359007141613
Composite cofactor 9665506935962654629015006938410862391887557163374095421105409364904852972423383620690807911408323089496461596989206101585932977596298387633541199098033 has 151 digits

GMP-ECM

9665506935962654629015006938410862391887557163374095421105409364904852972423383620690807911408323089496461596989206101585932977596298387633541199098033<151>

3143727463471383954536829476693331875971<40>
3074537169099816188447461097000709288070711577722400476070202334422867490129198799199582083819817704557600801723<112>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3735996848
Step 1 took 21546ms
Step 2 took 10657ms
********** Factor found in step 2: 3143727463471383954536829476693331875971
Found prime factor of 40 digits: 3143727463471383954536829476693331875971
Prime cofactor 3074537169099816188447461097000709288070711577722400476070202334422867490129198799199582083819817704557600801723 has 112 digits
 

GMP-ECM

1575779468767497796324902843349225889611813611162568904926900396664199209904074861301046775679965103391076248767406523706697<124>

13161990288016271695794384338028418911829105936626847549<56>
119721974738289650132285405899297022533814833707281960869383024883453<69>

1575779468767497796324902843349225889611813611162568904926900396664199209904074861301046775679965103391076248767406523706697=13161990288016271695794384338028418911829105936626847549*119721974738289650132285405899297022533814833707281960869383024883453

cado polynomial
n: 1575779468767497796324902843349225889611813611162568904926900396664199209904074861301046775679965103391076248767406523706697
skew: 90735.447
c0: 4221680965563074000734061952
c1: -1459018335320316010845202
c2: -11517212245178299263
c3: -936106353300505
c4: 1775323264
c5: 20160
Y0: -908676048583898348730580
Y1: 102805665469001623
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.010e-07
# f(x) = 20160*x^5+1775323264*x^4-936106353300505*x^3-11517212245178299263*x^2-1459018335320316010845202*x+4221680965563074000734061952
# g(x) = 102805665469001623*x-908676048583898348730580

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 119721974738289650132285405899297022533814833707281960869383024883453 13161990288016271695794384338028418911829105936626847549
Info:Square Root: Total cpu/real time for sqrt: 485.98/130.586
Info:Generate Factor Base: Total cpu/real time for makefb: 8.52/2.27478
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.18/53.8769
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 53.8s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2465.31
Info:Polynomial Selection (root optimized): Rootsieve time: 2462.91
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 124.27/105.266
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 96.30000000000001s
Info:Filtering - Merging: Merged matrix has 740049 rows and total weight 126208169 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 146.77/42.5551
Info:Filtering - Merging: Total cpu/real time for replay: 27.52/22.6929
Info:Linear Algebra: Total cpu/real time for bwc: 8224.41/2124.83
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5160.68, WCT time 1326.35, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23296 iterations)
Info:Linear Algebra: Lingen CPU time 128.18, WCT time 32.64
Info:Linear Algebra: Mksol: CPU time 2820.87,  WCT time 724.22, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11776 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 27.57/10.9557
Info:Generate Free Relations: Total cpu/real time for freerel: 126.75/32.9667
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20058/36.630/43.868/48.030/0.893
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15720/35.550/39.252/44.630/0.899
Info:Polynomial Selection (size optimized): Total time: 1962.79
Info:Filtering - Singleton removal: Total cpu/real time for purge: 54.1/60.8711
Info:Square Root: Total cpu/real time for sqrt: 485.98/130.586
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11635236
Info:Lattice Sieving: Average J: 3776.19 for 173737 special-q, max bucket fill -bkmult 1.0,1s:1.286490
Info:Lattice Sieving: Total time: 52056.8s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 110477/30073.1
Info:root: Cleaning up computation data in /tmp/cado.n2wm9txs
119721974738289650132285405899297022533814833707281960869383024883453 13161990288016271695794384338028418911829105936626847549

cado-nfs-3.0.0

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

20785908708823920747194609401534734292272773727991481363533129259989737063286211051149869604483434324176981861530482022719146451967794589558522355149082383444980292818189321020234220284876708411<194>

21362564444792097070964579469009602556309234022731733773015677777456741239198327694670569<89>
973006249438898373627479787245052572155213694986203553773695602498303118772209371486945922290460092460419<105>

Number: n
N=20785908708823920747194609401534734292272773727991481363533129259989737063286211051149869604483434324176981861530482022719146451967794589558522355149082383444980292818189321020234220284876708411  ( 194 digits)
SNFS difficulty: 202 digits.
Divisors found:

Mon Nov  8 21:22:26 2021  p89 factor: 21362564444792097070964579469009602556309234022731733773015677777456741239198327694670569
Mon Nov  8 21:22:26 2021  p105 factor: 973006249438898373627479787245052572155213694986203553773695602498303118772209371486945922290460092460419
Mon Nov  8 21:22:26 2021  elapsed time 01:55:37 (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 = 35x10^202-8 = 38(202)
#
n: 20785908708823920747194609401534734292272773727991481363533129259989737063286211051149869604483434324176981861530482022719146451967794589558522355149082383444980292818189321020234220284876708411
m: 10000000000000000000000000000000000000000
deg: 5
c5: 875
c0: -2
skew: 0.30
# Murphy_E = 1.017e-11
type: snfs
lss: 1
rlim: 16900000
alim: 16900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16900000/16900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9246572 hash collisions in 67810074 relations (60050403 unique)
Msieve: matrix is 2205672 x 2205902 (751.9 MB)

Sieving start time : 2021/11/08 06:19:30
Sieving end time  : 2021/11/08 19:23:01

Total sieving time: 13hrs 3min 31secs.

Total relation processing time: 1hrs 33min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 21sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16900000,16900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

42678779423277223694365049346755538627062184303012833940701472821591366409783028014430119810915854307111897040412360487828075550998897553143735841589527988847703117<164>

7427036052402639972696538800801804804221<40>

5746408004774754543256843500049302174344268567964640057802845212682961907796023916752192798227369981470821499416043017436177<124>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3440206013
Step 1 took 23805ms
********** Factor found in step 1: 7427036052402639972696538800801804804221
Found prime factor of 40 digits: 7427036052402639972696538800801804804221
Composite cofactor 5746408004774754543256843500049302174344268567964640057802845212682961907796023916752192798227369981470821499416043017436177 has 124 digits

5746408004774754543256843500049302174344268567964640057802845212682961907796023916752192798227369981470821499416043017436177<124>

3250882559583862247543215242933278179051083281983<49>
1767645523777499541128273867399945995977459947822742917958578601187747289519<76>

5746408004774754543256843500049302174344268567964640057802845212682961907796023916752192798227369981470821499416043017436177=3250882559583862247543215242933278179051083281983*1767645523777499541128273867399945995977459947822742917958578601187747289519

cado polynomial
n: 5746408004774754543256843500049302174344268567964640057802845212682961907796023916752192798227369981470821499416043017436177
skew: 54051.638
c0: -234776584788181180481271333064
c1: -1470451337725192052726890
c2: 192615550825123986343
c3: -463085857242713
c4: -21101145162
c5: 548640
Y0: -579164007816021556405237
Y1: 529625717935524481
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.819e-07
# f(x) = 548640*x^5-21101145162*x^4-463085857242713*x^3+192615550825123986343*x^2-1470451337725192052726890*x-234776584788181180481271333064
# g(x) = 529625717935524481*x-579164007816021556405237

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

cado log (extracts)
Info:Square Root: Factors: 3250882559583862247543215242933278179051083281983 1767645523777499541128273867399945995977459947822742917958578601187747289519
Info:Square Root: Total cpu/real time for sqrt: 2423.29/218.861
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20098/36.160/44.073/49.450/0.890
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15831/35.380/39.445/44.800/0.912
Info:Polynomial Selection (size optimized): Total time: 4095.32
Info:Generate Free Relations: Total cpu/real time for freerel: 229.29/34.5582
Info:Generate Factor Base: Total cpu/real time for makefb: 14.26/2.63259
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 253.17/278.656
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 257.5s
Info:Quadratic Characters: Total cpu/real time for characters: 31.39/7.21624
Info:Square Root: Total cpu/real time for sqrt: 2423.29/218.861
Info:Linear Algebra: Total cpu/real time for bwc: 30675.8/5453.51
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 11659.79, WCT time 2565.93, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.02, comm-wait 0.0 (23552 iterations)
Info:Linear Algebra: Lingen CPU time 15343.93, WCT time 2190.99
Info:Linear Algebra: Mksol: CPU time 3476.71,  WCT time 645.82, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11776 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11634202
Info:Lattice Sieving: Average J: 3803.1 for 178297 special-q, max bucket fill -bkmult 1.0,1s:1.288700
Info:Lattice Sieving: Total time: 200166s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 105.85/141.732
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 106.85/141.34
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 141.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5203.04
Info:Polynomial Selection (root optimized): Rootsieve time: 5198.19
Info:Filtering - Merging: Merged matrix has 747124 rows and total weight 127592265 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 233.62/46.2489
Info:Filtering - Merging: Total cpu/real time for replay: 35.28/26.8991
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 259533/41518.2
Info:root: Cleaning up computation data in /tmp/cado.gc7kduz5
3250882559583862247543215242933278179051083281983 1767645523777499541128273867399945995977459947822742917958578601187747289519

cado-nfs-3.0.0

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

37157325230675967136758240809388576209571653557684170252193827185818387289797127560225287004344038928790639180661063529108087454886575392762495255464912645101147000270881622875526798758517<188>

18160837729005364936771833457115853223<38>

2046013834005608079176979257485622503965685941120184611804640270100341086041597348539084670892277508466169394673241835207906660819638739525837166069379<151>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3181678610
Step 1 took 80583ms
Step 2 took 31966ms
********** Factor found in step 2: 18160837729005364936771833457115853223
Found prime factor of 38 digits: 18160837729005364936771833457115853223
Composite cofactor 2046013834005608079176979257485622503965685941120184611804640270100341086041597348539084670892277508466169394673241835207906660819638739525837166069379 has 151 digits

2046013834005608079176979257485622503965685941120184611804640270100341086041597348539084670892277508466169394673241835207906660819638739525837166069379<151>

16368498102012330490801461713019813190499<41>
4058538001408236957337218812704837875108786342471805943<55>
30798539104768672078056562752011676679563229910251052647<56>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1382498240
Step 1 took 51373ms
Step 2 took 24998ms
********** Factor found in step 2: 16368498102012330490801461713019813190499
Found prime factor of 41 digits: 16368498102012330490801461713019813190499
Composite cofactor 124997041344561277837662311824510818643533480165975196102612961778416254316256522230678243960048350534860481121 has 111 digits

N=124997041344561277837662311824510818643533480165975196102612961778416254316256522230678243960048350534860481121
  ( 111 digits)
Divisors found:
p55 factor: 4058538001408236957337218812704837875108786342471805943
p56 factor: 30798539104768672078056562752011676679563229910251052647
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 13.95 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 124997041344561277837662311824510818643533480165975196102612961778416254316256522230678243960048350534860481121
skew: 47711.32
c0: -395866000262709814782167427
c1: 55774387130982579201142
c2: 459746715462538289
c3: -51546495640646
c4: -256235898
c5: 8460
Y0: -1713608893808141734430
Y1: 3797908573517
rlim: 3460000
alim: 3460000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 1000
type: gnfs
Factor base limits: 3460000/3460000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1730000, 2331001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 355221 x 355447
Total sieving time: 13.80 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3460000,3460000,26,26,52,52,2.5,2.5,100000
total time: 13.95 hours.
 --------- CPU info (if available) ----------

55898370855471997462804306071336769858151680585987067892971059446004138755822362411394525296941488583097822359462287331255170751348682899428043726123264195258947552679566207933515207316840609883<194>

370067119911579507132135941526347352855685033<45>
151049276868552518177935336457670615811452321054304247097789997549700447054396180385041761645743038481064467417373350033601126588508168367166522020451<150>

Number: 38888_209
N = 55898370855471997462804306071336769858151680585987067892971059446004138755822362411394525296941488583097822359462287331255170751348682899428043726123264195258947552679566207933515207316840609883 (194 digits)
SNFS difficulty: 210 digits.
Divisors found:
r1=370067119911579507132135941526347352855685033 (pp45)
r2=151049276868552518177935336457670615811452321054304247097789997549700447054396180385041761645743038481064467417373350033601126588508168367166522020451 (pp150)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 126.56 hours.
Factorization parameters were as follows:
n: 55898370855471997462804306071336769858151680585987067892971059446004138755822362411394525296941488583097822359462287331255170751348682899428043726123264195258947552679566207933515207316840609883
m: 500000000000000000000000000000000000000000
deg: 5
c5: 14
c0: -1
skew: 0.59
# Murphy_E = 8.048e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 41900426
Relations: 6940772 relations
Pruned matrix : 4147382 x 4147607
Total sieving time: 115.58 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 10.45 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,210,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 126.56 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 2.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

3407339165633284580144968480393095336669258850494258285298089894577702517590929387344423184411989368554298215056902994140202405523802564657550455001659381376329673869348231<172>

2561619939064774866555725940603017<34>
1330150157590229579013275914789478202869031650451993403960927356798884309733642997743250333768017762697498162873983529090277384088084230543<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4012327019
Step 1 took 8344ms
Step 2 took 3934ms
********** Factor found in step 2: 2561619939064774866555725940603017
Found prime factor of 34 digits: 2561619939064774866555725940603017
Prime cofactor 1330150157590229579013275914789478202869031650451993403960927356798884309733642997743250333768017762697498162873983529090277384088084230543 has 139 digits

40449011212753589425832706905162671839108588231998598780475719459149581214792917002094097828361599426370918970657998707973019066689862029160854957984247<152>

986542645917002355213038200430442449071957<42>
41000773134501229691839237828912295418710999557079882662399196119969317545349385768778497157869369893963602971<110>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 40449011212753589425832706905162671839108588231998598780475719459149581214792917002094097828361599426370918970657998707973019066689862029160854957984247 (152 digits)
Using B1=17940000, B2=58560416470, polynomial Dickson(12), sigma=1:1187401362
Step 1 took 29289ms
Step 2 took 11381ms
********** Factor found in step 2: 986542645917002355213038200430442449071957
Found prime factor of 42 digits: 986542645917002355213038200430442449071957
Prime cofactor 41000773134501229691839237828912295418710999557079882662399196119969317545349385768778497157869369893963602971 has 110 digits

1490769019838586973454715466443277968543532410260878400850291054190486856980258389750037717037415811501530512555354563635344929465341633671035784698019663582235236902136350764860535687294592339<193>

73748764008259226767617550708222769396725459851294590620895838053619003948821409102629072016173603971613666869619545604199661247360502401264445303566361508227747287272582762627<176>

14139500734538033123707516371005188919824661749568917876268624430520172747190118101013904449435398380999455613372298290265023097094177431403595559613034481407137117891890073982391464597<185>

1152003960260471386854779039057542268671021899924428540206913077022326495037825227175180963364957487762426502147335381925518665097308128803258788802784821459134798945685975569616586750506223454537315712280757189163<214>

13209182117635692266816421051360319314994459691614660229643518141113315157498739466620774193937966661533955900956797671560857343852371161411676615067827263148042474691207062610013616779737265593628192470615230866311<215>

133467066039906007916791311149447972066516490585847585835867239<63>
98969599838856206160442286309995683399093455067664184158707296391469678167760600627687204760473483587176628338603312948905746870473501798741120865684449<152>

Number: 38888_219
N = 13209182117635692266816421051360319314994459691614660229643518141113315157498739466620774193937966661533955900956797671560857343852371161411676615067827263148042474691207062610013616779737265593628192470615230866311 (215 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=133467066039906007916791311149447972066516490585847585835867239 (pp63)
r2=98969599838856206160442286309995683399093455067664184158707296391469678167760600627687204760473483587176628338603312948905746870473501798741120865684449 (pp152)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 19.09 hours.
Factorization parameters were as follows:
n: 13209182117635692266816421051360319314994459691614660229643518141113315157498739466620774193937966661533955900956797671560857343852371161411676615067827263148042474691207062610013616779737265593628192470615230866311
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7
c0: -16
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: 30363363
Relations: 6608968 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 6.76 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 5801456 x 5801681
Matrix solve time: 11.78 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 19.09 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

309040433785647354452119586790019610891294675118698640105251700884788642103682854015462446645185143618442665891071522239919978439111337854913841271344083215038581872079923813203453008039063740185097<198>

152096637287010310801746701054838707790341829568304005628099<60>
2031868943969352966923645645436832862005478739821576829297711951068187348695688207711263567635561348116085668275700234428642333605556219203<139>

Number: 38888_220
N = 309040433785647354452119586790019610891294675118698640105251700884788642103682854015462446645185143618442665891071522239919978439111337854913841271344083215038581872079923813203453008039063740185097 (198 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=152096637287010310801746701054838707790341829568304005628099 (pp60)
r2=2031868943969352966923645645436832862005478739821576829297711951068187348695688207711263567635561348116085668275700234428642333605556219203 (pp139)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 26.96 hours.
Factorization parameters were as follows:
n: 309040433785647354452119586790019610891294675118698640105251700884788642103682854015462446645185143618442665891071522239919978439111337854913841271344083215038581872079923813203453008039063740185097
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 35
c0: -8
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31032676
Relations: 7273810 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 8.34 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 6376248 x 6376473
Matrix solve time: 18.18 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 26.96 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

32104537861651391393094741876271486154130155724677691017540847853742584134714773113458663848978035943143122187395516991890862635407208572332720926176122674488174100422164567<173>

125709425327312242834999506113414656351572379<45>
255386879528405599373479627211080397571170890714718808256022919602210954919694352829942626134215352214599866163363597027164317173<129>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 32104537861651391393094741876271486154130155724677691017540847853742584134714773113458663848978035943143122187395516991890862635407208572332720926176122674488174100422164567 (173 digits)
Using B1=38120000, B2=192391699516, polynomial Dickson(12), sigma=1:2188596095
Step 1 took 90938ms
Step 2 took 31246ms
********** Factor found in step 2: 125709425327312242834999506113414656351572379
Found prime factor of 45 digits: 125709425327312242834999506113414656351572379
Prime cofactor 255386879528405599373479627211080397571170890714718808256022919602210954919694352829942626134215352214599866163363597027164317173 has 129 digits

3872132948165495927584054031143203098261730584708690963036963777958774846011286192525145732013715984495727258364419211202082929851706064294307651096224225532909046289374650522471<178>

15516499845202324618815133051198059160383594794135054124476886736305543243951076658175533477829532571098682799026427286606164440517694842603078274055768949010754546337313570017477449283737570769251327043673068889<212>

19342357570163737813946120725436628267603884045670870522281857208538357515619615799174905603558666984436622271251981779824562623967905229178604521071517252111662318785425398019639771849716997898969456740469574003567607<218>

117692736713336869546007879638786568960426366881090555222481191017908713769249895931366075249656279242346676436082655461288235156774978971255464383258170746990574127729613303352367318498703833002932658949112311453673<216>

116306524873883718258815750893947893980556716266890215940531895510491232364663746966140298545396223359726679297379870086788903422397426872818516455096137021188212443201050229765918945603<186>

1331331711230448468327600372747373921<37>
87361041499109533381979230721688140214673460841030364492017681497512901200900297938247107023535824035245081769354743504751488219599919498831966027043<149>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2577330177
Step 1 took 7461ms
Step 2 took 3646ms
********** Factor found in step 2: 1331331711230448468327600372747373921
Found prime factor of 37 digits: 1331331711230448468327600372747373921
Prime cofactor 87361041499109533381979230721688140214673460841030364492017681497512901200900297938247107023535824035245081769354743504751488219599919498831966027043 has 149 digits

4744264138505034264906264777471384389732684888140525431455763304294025741117784142437909844203786807088664294302357513874546966223414950402582190511367336737106159327783524644562060725017302131177988623136019<208>

278000969016290529352097232284269015151233<42>

17065638854758905441910613744796654782523015666060378249326038592226006886938035331651832216751267478907686847335215859039859279103319528040603512634069204208098801043<167>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 4744264138505034264906264777471384389732684888140525431455763304294025741117784142437909844203786807088664294302357513874546966223414950402582190511367336737106159327783524644562060725017302131177988623136019 (208 digits)
Using B1=41160000, B2=192394462276, polynomial Dickson(12), sigma=1:897470264
Step 1 took 141673ms
Step 2 took 40462ms
********** Factor found in step 2: 278000969016290529352097232284269015151233
Found prime factor of 42 digits: 278000969016290529352097232284269015151233
Composite cofactor 17065638854758905441910613744796654782523015666060378249326038592226006886938035331651832216751267478907686847335215859039859279103319528040603512634069204208098801043 has 167 digits

336182365391238610581391512902728305200901246896872967495740725342090112490576738793954435338180644561581829086489319128494475942243626595531647111773299025267220224720586929709124775532957714817361299494217353<210>

162037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<234>

685906395288704418840964479509180745607648089097826824870426512822162198427308874184949929318913092199095733618191357274829108721867009756184813010601563167352783598298564853361390796628359451040752496700669425233909<216>

95024152652549627230627179219587232525408805348333968445669856337248399463048264491987308583681107582117430286933120359526966749802522793642886116547413151919694830753394878279940089434026366123886523866970566887655191717<221>

1642557357273376056891764872818437611063731630097410711157539938143239210405318896996138133914193274696193811354548790528693566776516906623606300692438682608152199676453928604844715309707326568647<196>

32696988279598857071093394136761576163<38>
50235738632179849447053238746681135543558618445082286266788354379149465527724828498494462937585316774801994602495830514802388461694806434284793111272383441869<158>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4116608080
Step 1 took 82980ms
********** Factor found in step 1: 32696988279598857071093394136761576163
Found probable prime factor of 38 digits: 32696988279598857071093394136761576163
Probable prime cofactor 50235738632179849447053238746681135543558618445082286266788354379149465527724828498494462937585316774801994602495830514802388461694806434284793111272383441869 has 158 digits

30081882876439227349185151419617036318747351838524471556649788755972927336679655308824844002266680234915509778022102663524750005075564086677613895956083128566929337238957335421601909286493912517729585377236789<209>

382266953058052003604780143246729272951829878889142481144433327049711499716256404901242040949883561579181492837276725065069846921025566106125583460905535473131176570908346556264236382519633279<192>