2211075100863099129102473238880975808911733606735980659973806558452430921105445804576741967077<94>

30819670025706773998250173675475345261295729451<47>
71742335301410921317535763047838765696307066927<47>

prp47 = 71742335301410921317535763047838765696307066927
prp47 = 30819670025706773998250173675475345261295729451

Yafu

34423337974734833974473359441292655760489041935620866269084969006979792418630468998447161081428302423550471<107>

3817262312470834371886038372740452822272577<43>
9017807831092782415140401075448179200774046447011241881028055623<64>

N=34423337974734833974473359441292655760489041935620866269084969006979792418630468998447161081428302423550471
  ( 107 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=3817262312470834371886038372740452822272577 (pp43)
 r2=9017807831092782415140401075448179200774046447011241881028055623 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.48 hours.
Scaled time: 3.74 units (timescale=7.874).
Factorization parameters were as follows:
n: 34423337974734833974473359441292655760489041935620866269084969006979792418630468998447161081428302423550471
m: 10000000000000000000000000000
deg: 4
c4: 964
c0: -1
skew: 0.18
# Murphy_E = 6.487e-08
type: snfs
lss: 1
rlim: 580000
alim: 580000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 580000/580000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [290000, 630001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 74066 x 74293
Total sieving time: 0.47 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,4,0,0,0,0,0,0,0,0,580000,580000,25,25,45,45,2.2,2.2,20000
total time: 0.48 hours.

GNFS, Msieve

30281853937562707959198711247269006736321232112998524723048407163472728802063701812000895421855849107879039<107>

263939614311358756261347507375472751837837<42>
114730234855312187919909618132764630709656601784424778194137241147<66>

N=30281853937562707959198711247269006736321232112998524723048407163472728802063701812000895421855849107879039
  ( 107 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=263939614311358756261347507375472751837837 (pp42)
 r2=114730234855312187919909618132764630709656601784424778194137241147 (pp66)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.41 hours.
Scaled time: 3.25 units (timescale=7.868).
Factorization parameters were as follows:
n: 30281853937562707959198711247269006736321232112998524723048407163472728802063701812000895421855849107879039
m: 10000000000000000000000000000
deg: 4
c4: 9640
c0: -1
skew: 0.10
# Murphy_E = 7.269e-08
type: snfs
lss: 1
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [300000, 580001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 63179 x 63404
Total sieving time: 0.41 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,115.000,4,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.2,2.2,20000
total time: 0.41 hours.

GNFS, Msieve

398315834707192410513224168350418768774352426875575884537990818902648139195682983567405864828794433494890896995690421<117>

7558354336428494459527944449190255051701<40>
52698751206655692781896409215096863304800068835714361659683790679371059614721<77>

N=398315834707192410513224168350418768774352426875575884537990818902648139195682983567405864828794433494890896995690421
  ( 117 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=7558354336428494459527944449190255051701 (pp40)
 r2=52698751206655692781896409215096863304800068835714361659683790679371059614721 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.00 hours.
Scaled time: 7.86 units (timescale=7.849).
Factorization parameters were as follows:
n: 398315834707192410513224168350418768774352426875575884537990818902648139195682983567405864828794433494890896995690421
m: 1000000000000000000000000000000
deg: 4
c4: 482
c0: -5
skew: 0.32
# Murphy_E = 2.98e-08
type: snfs
lss: 1
rlim: 780000
alim: 780000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 780000/780000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [390000, 690001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 89934 x 90181
Total sieving time: 0.99 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,122.000,4,0,0,0,0,0,0,0,0,780000,780000,25,25,46,46,2.2,2.2,75000
total time: 1.00 hours.

GNFS, Msieve

6501587820666713990285279073657686692894693168467615871871558391328358584038379434465880887192551<97>

129449432079298293768570712355075078248091<42>
50224923479648510575868163934981981089197490742133649061<56>

prp56 = 50224923479648510575868163934981981089197490742133649061
prp42 = 129449432079298293768570712355075078248091

Yafu

277487979731707658601990237544238964726215157908230682488528299667811739671536648878929273012969888798705165887<111>

62508758135327486925411683924346993748483512199035029<53>
4439185611893997729868982421884071546461999854503257795203<58>

p53 factor: 62508758135327486925411683924346993748483512199035029
p58 factor: 4439185611893997729868982421884071546461999854503257795203

GNFS, Msieve

55968086791646145174112410653883918764291969755397674302839624791972958745497072802930990371999933119379663<107>

11722959253031126827868272871602325963101227804383<50>
4774228553014449224899897929291941232074661451452947078161<58>

N=55968086791646145174112410653883918764291969755397674302839624791972958745497072802930990371999933119379663
  ( 107 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=11722959253031126827868272871602325963101227804383 (pp50)
 r2=4774228553014449224899897929291941232074661451452947078161 (pp58)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.10 hours.
Scaled time: 24.32 units (timescale=7.843).
Factorization parameters were as follows:
n: 55968086791646145174112410653883918764291969755397674302839624791972958745497072802930990371999933119379663
m: 1000000000000000000000000000000000
deg: 4
c4: 482
c0: -5
skew: 0.32
# Murphy_E = 7.812e-09
type: snfs
lss: 1
rlim: 1230000
alim: 1230000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1230000/1230000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [615000, 1415001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 179484 x 179713
Total sieving time: 3.07 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1230000,1230000,26,26,47,47,2.3,2.3,100000
total time: 3.10 hours.

GNFS, Msieve

185123361452894647709265219040715254500756124551565040077993185307826220331918715438110545402537763985659052326097<114>

60990586984094271135885930864879277<35>
3035277583099387942820874045897119796725713062079425898165866965525383365412661<79>

N=185123361452894647709265219040715254500756124551565040077993185307826220331918715438110545402537763985659052326097
  ( 114 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=60990586984094271135885930864879277 (pp35)
 r2=3035277583099387942820874045897119796725713062079425898165866965525383365412661 (pp79)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.73 hours.
Scaled time: 21.41 units (timescale=7.837).
Factorization parameters were as follows:
n: 185123361452894647709265219040715254500756124551565040077993185307826220331918715438110545402537763985659052326097
m: 1000000000000000000000000000000000
deg: 4
c4: 9640
c0: -1
skew: 0.10
# Murphy_E = 7.951e-09
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1345001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 180212 x 180439
Total sieving time: 2.70 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,135.000,4,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,100000
total time: 2.73 hours.

GNFS, Msieve

30020737724582550251810195441582858693402443089566820862923017329900297545590403986037458275219109834383945330253490902083235437<128>

718070324022695120036354980540453196146269474311<48>
41807517620841999342926696795096703046645409646958159238030766592657821401170667<80>

N=30020737724582550251810195441582858693402443089566820862923017329900297545590403986037458275219109834383945330253490902083235437
  ( 128 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=718070324022695120036354980540453196146269474311 (pp48)
 r2=41807517620841999342926696795096703046645409646958159238030766592657821401170667 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.28 hours.
Scaled time: 33.46 units (timescale=7.825).
Factorization parameters were as follows:
n: 30020737724582550251810195441582858693402443089566820862923017329900297545590403986037458275219109834383945330253490902083235437
m: 2000000000000000000000000000000000
deg: 4
c4: 6025
c0: -1
skew: 0.11
# Murphy_E = 4.755e-09
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1870001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 252528 x 252753
Total sieving time: 4.24 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,136.000,4,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,100000
total time: 4.28 hours.

GNFS, Msieve

8590230185872915049663622265948850578255364344690556922933406913961096230023193706750646358236688266561865590716928879<118>

276428386194655916170300004479804266650990999689<48>
31075788938057283607665413455267751076625638429463755672862846025350711<71>

N=8590230185872915049663622265948850578255364344690556922933406913961096230023193706750646358236688266561865590716928879
  ( 118 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=276428386194655916170300004479804266650990999689 (pp48)
 r2=31075788938057283607665413455267751076625638429463755672862846025350711 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.11 hours.
Scaled time: 40.24 units (timescale=7.874).
Factorization parameters were as follows:
n: 8590230185872915049663622265948850578255364344690556922933406913961096230023193706750646358236688266561865590716928879
m: 10000000000000000000000000000000000
deg: 4
c4: 482
c0: -5
skew: 0.32
# Murphy_E = 4.951e-09
type: snfs
lss: 1
rlim: 1430000
alim: 1430000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1430000/1430000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [715000, 1215001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 181253 x 181478
Total sieving time: 5.08 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,138.000,4,0,0,0,0,0,0,0,0,1430000,1430000,26,26,48,48,2.3,2.3,100000
total time: 5.11 hours.

GNFS, Msieve

521601921745968284979915350068205944238265593530231565822456120644143744183042883848288077062030642814308579588688748500056299460537<132>

1708629685260549615584416033870161667<37>
305274996826728432913289477513608938161978986489572464552926677005236195965603780913732582046611<96>

N=521601921745968284979915350068205944238265593530231565822456120644143744183042883848288077062030642814308579588688748500056299460537
  ( 132 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=1708629685260549615584416033870161667 (pp37)
 r2=305274996826728432913289477513608938161978986489572464552926677005236195965603780913732582046611 (pp96)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.95 hours.
Scaled time: 38.57 units (timescale=7.788).
Factorization parameters were as follows:
n: 521601921745968284979915350068205944238265593530231565822456120644143744183042883848288077062030642814308579588688748500056299460537
m: 10000000000000000000000000000000000
deg: 4
c4: 964
c0: -1
skew: 0.18
# Murphy_E = 4.509e-09
type: snfs
lss: 1
rlim: 1450000
alim: 1450000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1450000/1450000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [725000, 1225001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 227237 x 227462
Total sieving time: 4.91 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,138.000,4,0,0,0,0,0,0,0,0,1450000,1450000,26,26,48,48,2.3,2.3,100000
total time: 4.95 hours.

GNFS, Msieve

2968967486718763676803203681500350620395726563017546716652433147457454437072320113546218129073997805695571<106>

53160430642735663309990725556503883<35>
55849199316530951851984674785600347375035559699211849623592558410189337<71>

N=2968967486718763676803203681500350620395726563017546716652433147457454437072320113546218129073997805695571
  ( 106 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=53160430642735663309990725556503883 (pp35)
 r2=55849199316530951851984674785600347375035559699211849623592558410189337 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.06 hours.
Scaled time: 55.53 units (timescale=7.868).
Factorization parameters were as follows:
n: 2968967486718763676803203681500350620395726563017546716652433147457454437072320113546218129073997805695571
m: 100000000000000000000000000000000000
deg: 4
c4: 482
c0: -5
skew: 0.32
# Murphy_E = 3.123e-09
type: snfs
lss: 1
rlim: 1670000
alim: 1670000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1670000/1670000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [835000, 1535001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 215372 x 215597
Total sieving time: 7.01 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,142.000,4,0,0,0,0,0,0,0,0,1670000,1670000,26,26,48,48,2.3,2.3,100000
total time: 7.06 hours.

GNFS, Msieve

1016760036395454310231564968033480314057710480635338699920153802687452202548898785124230816612080437696537319374304519585637291<127>

10758750486815850538116172532390655936700231315867049899<56>
94505401685951138193465182389598944747738100685077232201714230944631809<71>

N=1016760036395454310231564968033480314057710480635338699920153802687452202548898785124230816612080437696537319374304519585637291
  ( 127 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=10758750486815850538116172532390655936700231315867049899 (pp56)
 r2=94505401685951138193465182389598944747738100685077232201714230944631809 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.65 hours.
Scaled time: 76.21 units (timescale=7.899).
Factorization parameters were as follows:
n: 1016760036395454310231564968033480314057710480635338699920153802687452202548898785124230816612080437696537319374304519585637291
m: 1000000000000000000000000000000000000
deg: 4
c4: 482
c0: -5
skew: 0.32
# Murphy_E = 1.962e-09
type: snfs
lss: 1
rlim: 1950000
alim: 1950000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1950000/1950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [975000, 1975001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 288381 x 288607
Total sieving time: 9.59 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,146.000,4,0,0,0,0,0,0,0,0,1950000,1950000,26,26,49,49,2.3,2.3,100000
total time: 9.65 hours.

GNFS, Msieve

5614084129729603811054620845490387919236391378537193307359458625248236863101373819964941092882808905661256413392269569218046601557267734740348609<145>

564044416976850628619055147351528652083535559512223384025996544441<66>
9953266020821221358927040813301926664907387410494832014479325678424893152031049<79>

N=5614084129729603811054620845490387919236391378537193307359458625248236863101373819964941092882808905661256413392269569218046601557267734740348609
  ( 145 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=564044416976850628619055147351528652083535559512223384025996544441 (pp66)
 r2=9953266020821221358927040813301926664907387410494832014479325678424893152031049 (pp79)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.03 hours.
Scaled time: 55.42 units (timescale=7.880).
Factorization parameters were as follows:
n: 5614084129729603811054620845490387919236391378537193307359458625248236863101373819964941092882808905661256413392269569218046601557267734740348609
m: 100000000000000000000000000000
deg: 5
c5: 96400
c0: -1
skew: 0.10
# Murphy_E = 1.304e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 363299 x 363524
Total sieving time: 6.98 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 7.03 hours.

GNFS, Msieve

270145891026209175544790384714722397162946270007136875135469684334497163894850960722860406135971462897261<105>

10243535237013886019081768238070064339681065477091<50>
26372329940357579000146108596132017492497079968227861871<56>

26372329940357579000146108596132017492497079968227861871 10243535237013886019081768238070064339681065477091

n: 270145891026209175544790384714722397162946270007136875135469684334497163894850960722860406135971462897261
skew: 18955.911
c0: 5169949728566144958196880
c1: 25563936907933919246
c2: -68393516874549239
c3: -538795640630
c4: 44820510
c5: 2160
Y0: -204901523748307166491
Y1: 394697760534193
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.513e-06
# f(x) = 2160*x^5+44820510*x^4-538795640630*x^3-68393516874549239*x^2+25563936907933919246*x+5169949728566144958196880
# g(x) = 394697760534193*x-204901523748307166491

cado-nfs 3.0.0

485228605580046485374569492163261320710507395639702660082877767635790198816769028527721301333302691046221118215199670893436523761996580826463126849<147>

914155109459755343653068671562601977919925093<45>
530794610847611449114735558805427118154162144509831519680294248612010902584395077997610850354745592493<102>

N=485228605580046485374569492163261320710507395639702660082877767635790198816769028527721301333302691046221118215199670893436523761996580826463126849
  ( 147 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=914155109459755343653068671562601977919925093 (pp45)
 r2=530794610847611449114735558805427118154162144509831519680294248612010902584395077997610850354745592493 (pp102)
Version: Msieve v. 1.52 (SVN 927)
Total time: 15.59 hours.
Scaled time: 121.83 units (timescale=7.813).
Factorization parameters were as follows:
n: 485228605580046485374569492163261320710507395639702660082877767635790198816769028527721301333302691046221118215199670893436523761996580826463126849
m: 10000000000000000000000000000000
deg: 5
c5: 482
c0: -5
skew: 0.40
# Murphy_E = 6.355e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 492124 x 492349
Total sieving time: 15.49 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 15.59 hours.

GNFS, Msieve

5007013145091805465736993978252034054183153050260724994695503070875830886412632143118763342158641332535661347442017261427590074024683<133>

30194306471092666323607892291433011<35>
165826400082591880203619620406999018237799670825080817551928019534354939070137972091574155778434153<99>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1105908922
Step 1 took 4812ms
Step 2 took 3047ms
********** Factor found in step 2: 30194306471092666323607892291433011
Found prime factor of 35 digits: 30194306471092666323607892291433011
Prime cofactor 165826400082591880203619620406999018237799670825080817551928019534354939070137972091574155778434153 has 99 digits

GMP-ECM

16710001733402669440110937770844167100017334026694401109377708441671000173340266944011093777084416710001733402669440110937770844167100017334026694401109377708441671<164>

858901560965268755130456683918779802355943757259345153970246854399418969693<75>
19455083670616787614654926703027198647466667085630320263800582344233358346432330188117747<89>

Number: n
N=16710001733402669440110937770844167100017334026694401109377708441671000173340266944011093777084416710001733402669440110937770844167100017334026694401109377708441671  ( 164 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sat Mar 12 20:21:18 2022  p75 factor: 858901560965268755130456683918779802355943757259345153970246854399418969693
Sat Mar 12 20:21:18 2022  p89 factor: 19455083670616787614654926703027198647466667085630320263800582344233358346432330188117747
Sat Mar 12 20:21:18 2022  elapsed time 00:10:06 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.290).
Factorization parameters were as follows:
#
# N = 482x10^165-5 = 535(165)
#
n: 16710001733402669440110937770844167100017334026694401109377708441671000173340266944011093777084416710001733402669440110937770844167100017334026694401109377708441671
m: 1000000000000000000000000000000000
deg: 5
c5: 482
c0: -5
skew: 0.40
# Murphy_E = 2.591e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 15000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2422552 hash collisions in 16830867 relations (15309145 unique)
Msieve: matrix is 607955 x 608183 (205.4 MB)

Sieving start time : 2022/03/12 19:00:52
Sieving end time  : 2022/03/12 20:10:38

Total sieving time: 1hrs 9min 46secs.
Total relation processing time: 0hrs 5min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 32sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

62582728618454098556592328026443165956877162800985511073056018451069109503408417040916932418415339314963888986015090231726349200935696775017<140>

240284321803379220778581612727906450169174715641533741957<57>
260452817515345568350786785600157900345683709512260051139455884187746862309292914581<84>

Number: n
N=62582728618454098556592328026443165956877162800985511073056018451069109503408417040916932418415339314963888986015090231726349200935696775017  ( 140 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sun Mar 20 19:59:06 2022  p57 factor: 240284321803379220778581612727906450169174715641533741957
Sun Mar 20 19:59:06 2022  p84 factor: 260452817515345568350786785600157900345683709512260051139455884187746862309292914581
Sun Mar 20 19:59:06 2022  elapsed time 00:09:14 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.309).
Factorization parameters were as follows:
#
# N = 482x10^166-5 = 535(166)
#
n: 62582728618454098556592328026443165956877162800985511073056018451069109503408417040916932418415339314963888986015090231726349200935696775017
m: 1000000000000000000000000000000000
deg: 5
c5: 964
c0: -1
skew: 0.25
# Murphy_E = 2.94e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2019736 hash collisions in 15510675 relations (14363790 unique)
Msieve: matrix is 553045 x 553279 (188.2 MB)

Sieving start time : 2022/03/20 18:54:35
Sieving end time  : 2022/03/20 19:49:20

Total sieving time: 0hrs 54min 45secs.

Total relation processing time: 0hrs 4min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 2sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

200547020372020404027022831476873934655362917082707075973860249462908730199991000347994041071252271240043448112948968838901675222021<132>

29308042389450949913905433070664467516155982758564515201<56>
6842729981999913625509184288702751510515644155082650994511184409841609842821<76>

Thu Apr 07 20:46:20 2022 -> factmsieve.py (v0.86)
Thu Apr 07 20:46:20 2022 -> This is client 1 of 1
Thu Apr 07 20:46:20 2022 -> Running on 64 Cores with 1 hyper-thread per Core
Thu Apr 07 20:46:20 2022 -> Working with NAME = 53555_167
Thu Apr 07 20:46:20 2022 -> Selected lattice siever: gnfs-lasieve4I13e
Thu Apr 07 20:46:20 2022 -> Creating param file to detect parameter changes...
Thu Apr 07 20:46:20 2022 -> Running setup ...
Thu Apr 07 20:46:20 2022 -> Estimated minimum relations needed: 1.03344e+07
Thu Apr 07 20:46:20 2022 -> cleaning up before a restart
Thu Apr 07 20:46:20 2022 -> Running lattice siever ...
Thu Apr 07 20:46:20 2022 -> entering sieving loop
hu Apr 07 21:05:55 2022 Found 10709265 relations, 103.6% of the estimated minimum (10334410).
Thu Apr 07 21:05:55 2022 -> ./msieve -s 53555_167/53555_167.dat -l 53555_167/53555_167.log -i 53555_167/53555_167.ini -nf 53555_167/53555_167.fb -t 64 -nc1
Thu Apr  7 21:05:55 2022  
Thu Apr  7 21:05:55 2022  
Thu Apr  7 21:05:55 2022  Msieve v. 1.54 (SVN 1044)
Thu Apr  7 21:05:55 2022  random seeds: 3c64e32c 92d4bbcc
Thu Apr  7 21:05:55 2022  factoring 200547020372020404027022831476873934655362917082707075973860249462908730199991000347994041071252271240043448112948968838901675222021 (132 digits)
Thu Apr  7 21:05:55 2022  searching for 15-digit factors
Thu Apr  7 21:05:55 2022  commencing number field sieve (132-digit input)
Thu Apr  7 21:05:55 2022  R0: -1000000000000000000000000000000000
Thu Apr  7 21:05:55 2022  R1: 1
Thu Apr  7 21:05:55 2022  A0: -1
Thu Apr  7 21:05:55 2022  A1: 0
Thu Apr  7 21:05:55 2022  A2: 0
Thu Apr  7 21:05:55 2022  A3: 0
Thu Apr  7 21:05:55 2022  A4: 0
Thu Apr  7 21:05:55 2022  A5: 9640
Thu Apr  7 21:05:55 2022  skew 0.16, size 5.912e-12, alpha 0.440, combined = 2.423e-10 rroots = 1
Thu Apr  7 21:05:55 2022  
Thu Apr  7 21:05:55 2022  commencing relation filtering
Thu Apr  7 21:05:55 2022  estimated available RAM is 64030.7 MB
Thu Apr  7 21:05:55 2022  commencing duplicate removal, pass 1
Thu Apr  7 21:06:45 2022  found 1214631 hash collisions in 10709264 relations
Thu Apr  7 21:06:52 2022  added 372557 free relations
Thu Apr  7 21:06:52 2022  commencing duplicate removal, pass 2
Thu Apr  7 21:06:54 2022  found 971104 duplicates and 10110717 unique relations
Thu Apr  7 21:06:54 2022  memory use: 49.3 MB
Thu Apr  7 21:06:54 2022  reading ideals above 720000
Thu Apr  7 21:06:54 2022  commencing singleton removal, initial pass
Thu Apr  7 21:07:37 2022  memory use: 344.5 MB
Thu Apr  7 21:07:37 2022  reading all ideals from disk
Thu Apr  7 21:07:37 2022  memory use: 294.4 MB
Thu Apr  7 21:07:37 2022  commencing in-memory singleton removal
Thu Apr  7 21:07:37 2022  begin with 10110717 relations and 10979521 unique ideals
Thu Apr  7 21:07:39 2022  reduce to 4279022 relations and 3967739 ideals in 16 passes
Thu Apr  7 21:07:39 2022  max relations containing the same ideal: 69
Thu Apr  7 21:07:40 2022  removing 660542 relations and 572341 ideals in 88201 cliques
Thu Apr  7 21:07:40 2022  commencing in-memory singleton removal
Thu Apr  7 21:07:40 2022  begin with 3618480 relations and 3967739 unique ideals
Thu Apr  7 21:07:41 2022  reduce to 3528226 relations and 3302603 ideals in 10 passes
Thu Apr  7 21:07:41 2022  max relations containing the same ideal: 58
Thu Apr  7 21:07:41 2022  removing 504752 relations and 416551 ideals in 88201 cliques
Thu Apr  7 21:07:41 2022  commencing in-memory singleton removal
Thu Apr  7 21:07:41 2022  begin with 3023474 relations and 3302603 unique ideals
Thu Apr  7 21:07:42 2022  reduce to 2960639 relations and 2821609 ideals in 8 passes
Thu Apr  7 21:07:42 2022  max relations containing the same ideal: 51
Thu Apr  7 21:07:43 2022  relations with 0 large ideals: 2937
Thu Apr  7 21:07:43 2022  relations with 1 large ideals: 2644
Thu Apr  7 21:07:43 2022  relations with 2 large ideals: 34130
Thu Apr  7 21:07:43 2022  relations with 3 large ideals: 187785
Thu Apr  7 21:07:43 2022  relations with 4 large ideals: 533767
Thu Apr  7 21:07:43 2022  relations with 5 large ideals: 854190
Thu Apr  7 21:07:43 2022  relations with 6 large ideals: 804006
Thu Apr  7 21:07:43 2022  relations with 7+ large ideals: 541180
Thu Apr  7 21:07:43 2022  commencing 2-way merge
Thu Apr  7 21:07:44 2022  reduce to 1738661 relation sets and 1599631 unique ideals
Thu Apr  7 21:07:44 2022  commencing full merge
Thu Apr  7 21:07:58 2022  memory use: 188.2 MB
Thu Apr  7 21:07:58 2022  found 779134 cycles, need 765831
Thu Apr  7 21:07:58 2022  weight of 765831 cycles is about 69201254 (90.36/cycle)
Thu Apr  7 21:07:58 2022  distribution of cycle lengths:
Thu Apr  7 21:07:58 2022  1 relations: 74279
Thu Apr  7 21:07:58 2022  2 relations: 66691
Thu Apr  7 21:07:58 2022  3 relations: 66219
Thu Apr  7 21:07:58 2022  4 relations: 61957
Thu Apr  7 21:07:58 2022  5 relations: 58854
Thu Apr  7 21:07:58 2022  6 relations: 54288
Thu Apr  7 21:07:58 2022  7 relations: 50253
Thu Apr  7 21:07:58 2022  8 relations: 45150
Thu Apr  7 21:07:58 2022  9 relations: 40713
Thu Apr  7 21:07:58 2022  10+ relations: 247427
Thu Apr  7 21:07:58 2022  heaviest cycle: 27 relations
Thu Apr  7 21:07:58 2022  commencing cycle optimization
Thu Apr  7 21:07:59 2022  start with 5890846 relations
Thu Apr  7 21:08:05 2022  pruned 192060 relations
Thu Apr  7 21:08:05 2022  memory use: 176.2 MB
Thu Apr  7 21:08:05 2022  distribution of cycle lengths:
Thu Apr  7 21:08:05 2022  1 relations: 74279
Thu Apr  7 21:08:05 2022  2 relations: 68306
Thu Apr  7 21:08:05 2022  3 relations: 68688
Thu Apr  7 21:08:05 2022  4 relations: 64009
Thu Apr  7 21:08:05 2022  5 relations: 60909
Thu Apr  7 21:08:05 2022  6 relations: 55895
Thu Apr  7 21:08:05 2022  7 relations: 51437
Thu Apr  7 21:08:05 2022  8 relations: 46068
Thu Apr  7 21:08:05 2022  9 relations: 41587
Thu Apr  7 21:08:05 2022  10+ relations: 234653
Thu Apr  7 21:08:05 2022  heaviest cycle: 26 relations
Thu Apr  7 21:08:05 2022  RelProcTime: 130
Thu Apr  7 21:08:05 2022  elapsed time 00:02:10
Thu Apr 07 21:08:05 2022 LatSieveTime: 178.351
Thu Apr 07 21:08:05 2022 -> Running matrix solving step ...
Thu Apr 07 21:08:05 2022 -> ./msieve -s 53555_167/53555_167.dat -l 53555_167/53555_167.log -i 53555_167/53555_167.ini -nf 53555_167/53555_167.fb -t 64 -nc2
Thu Apr  7 21:08:05 2022  
Thu Apr  7 21:08:05 2022  
Thu Apr  7 21:08:05 2022  Msieve v. 1.54 (SVN 1044)
Thu Apr  7 21:08:05 2022  random seeds: f0c8390c 4595dc32
Thu Apr  7 21:08:05 2022  factoring 200547020372020404027022831476873934655362917082707075973860249462908730199991000347994041071252271240043448112948968838901675222021 (132 digits)
Thu Apr  7 21:08:05 2022  searching for 15-digit factors
Thu Apr  7 21:08:06 2022  commencing number field sieve (132-digit input)
Thu Apr  7 21:08:06 2022  R0: -1000000000000000000000000000000000
Thu Apr  7 21:08:06 2022  R1: 1
Thu Apr  7 21:08:06 2022  A0: -1
Thu Apr  7 21:08:06 2022  A1: 0
Thu Apr  7 21:08:06 2022  A2: 0
Thu Apr  7 21:08:06 2022  A3: 0
Thu Apr  7 21:08:06 2022  A4: 0
Thu Apr  7 21:08:06 2022  A5: 9640
Thu Apr  7 21:08:06 2022  skew 0.16, size 5.912e-12, alpha 0.440, combined = 2.423e-10 rroots = 1
Thu Apr  7 21:08:06 2022  
Thu Apr  7 21:08:06 2022  commencing linear algebra
Thu Apr  7 21:08:06 2022  read 765831 cycles
Thu Apr  7 21:08:06 2022  cycles contain 2809159 unique relations
Thu Apr  7 21:08:16 2022  read 2809159 relations
Thu Apr  7 21:08:18 2022  using 20 quadratic characters above 4294917295
Thu Apr  7 21:08:28 2022  building initial matrix
Thu Apr  7 21:08:42 2022  memory use: 345.3 MB
Thu Apr  7 21:08:42 2022  read 765831 cycles
Thu Apr  7 21:08:42 2022  matrix is 765649 x 765831 (281.3 MB) with weight 83110003 (108.52/col)
Thu Apr  7 21:08:42 2022  sparse part has weight 65316981 (85.29/col)
Thu Apr  7 21:08:46 2022  filtering completed in 2 passes
Thu Apr  7 21:08:46 2022  matrix is 764936 x 765118 (281.2 MB) with weight 83076198 (108.58/col)
Thu Apr  7 21:08:46 2022  sparse part has weight 65300877 (85.35/col)
Thu Apr  7 21:08:48 2022  matrix starts at (0, 0)
Thu Apr  7 21:08:48 2022  matrix is 764936 x 765118 (281.2 MB) with weight 83076198 (108.58/col)
Thu Apr  7 21:08:48 2022  sparse part has weight 65300877 (85.35/col)
Thu Apr  7 21:08:48 2022  saving the first 48 matrix rows for later
Thu Apr  7 21:08:48 2022  matrix includes 64 packed rows
Thu Apr  7 21:08:48 2022  matrix is 764888 x 765118 (267.3 MB) with weight 68279816 (89.24/col)
Thu Apr  7 21:08:48 2022  sparse part has weight 62430161 (81.60/col)
Thu Apr  7 21:08:48 2022  using block size 8192 and superblock size 5308416 for processor cache size 55296 kB
Thu Apr  7 21:08:49 2022  commencing Lanczos iteration (32 threads)
Thu Apr  7 21:08:49 2022  memory use: 250.7 MB
Thu Apr  7 21:08:52 2022  linear algebra at 0.4%, ETA 0h 8m
Thu Apr  7 21:20:26 2022  lanczos halted after 12095 iterations (dim = 764886)
Thu Apr  7 21:20:27 2022  recovered 38 nontrivial dependencies
Thu Apr  7 21:20:27 2022  BLanczosTime: 741
Thu Apr  7 21:20:27 2022  elapsed time 00:12:22
Thu Apr 07 21:20:27 2022 -> Running square root step ...
Thu Apr 07 21:20:27 2022 -> ./msieve -s 53555_167/53555_167.dat -l 53555_167/53555_167.log -i 53555_167/53555_167.ini -nf 53555_167/53555_167.fb -t 64 -nc3
Thu Apr  7 21:20:27 2022  
Thu Apr  7 21:20:27 2022  
Thu Apr  7 21:20:27 2022  Msieve v. 1.54 (SVN 1044)
Thu Apr  7 21:20:27 2022  random seeds: 004bac44 c1a69f23
Thu Apr  7 21:20:27 2022  factoring 200547020372020404027022831476873934655362917082707075973860249462908730199991000347994041071252271240043448112948968838901675222021 (132 digits)
Thu Apr  7 21:20:27 2022  searching for 15-digit factors
Thu Apr  7 21:20:27 2022  commencing number field sieve (132-digit input)
Thu Apr  7 21:20:27 2022  R0: -1000000000000000000000000000000000
Thu Apr  7 21:20:27 2022  R1: 1
Thu Apr  7 21:20:27 2022  A0: -1
Thu Apr  7 21:20:27 2022  A1: 0
Thu Apr  7 21:20:27 2022  A2: 0
Thu Apr  7 21:20:27 2022  A3: 0
Thu Apr  7 21:20:27 2022  A4: 0
Thu Apr  7 21:20:27 2022  A5: 9640
Thu Apr  7 21:20:27 2022  skew 0.16, size 5.912e-12, alpha 0.440, combined = 2.423e-10 rroots = 1
Thu Apr  7 21:20:27 2022  
Thu Apr  7 21:20:27 2022  commencing square root phase
Thu Apr  7 21:20:27 2022  reading relations for dependency 1
Thu Apr  7 21:20:27 2022  read 382861 cycles
Thu Apr  7 21:20:28 2022  cycles contain 1406134 unique relations
Thu Apr  7 21:20:33 2022  read 1406134 relations
Thu Apr  7 21:20:35 2022  multiplying 1406134 relations
Thu Apr  7 21:20:57 2022  multiply complete, coefficients have about 47.33 million bits
Thu Apr  7 21:20:57 2022  initial square root is modulo 6237641
Thu Apr  7 21:21:26 2022  GCD is 1, no factor found
Thu Apr  7 21:21:26 2022  reading relations for dependency 2
Thu Apr  7 21:21:26 2022  read 382671 cycles
Thu Apr  7 21:21:26 2022  cycles contain 1405488 unique relations
Thu Apr  7 21:21:31 2022  read 1405488 relations
Thu Apr  7 21:21:33 2022  multiplying 1405488 relations
Thu Apr  7 21:21:55 2022  multiply complete, coefficients have about 47.31 million bits
Thu Apr  7 21:21:55 2022  initial square root is modulo 6191411
Thu Apr  7 21:22:24 2022  GCD is N, no factor found
Thu Apr  7 21:22:24 2022  reading relations for dependency 3
Thu Apr  7 21:22:24 2022  read 382877 cycles
Thu Apr  7 21:22:24 2022  cycles contain 1405072 unique relations
Thu Apr  7 21:22:29 2022  read 1405072 relations
Thu Apr  7 21:22:31 2022  multiplying 1405072 relations
Thu Apr  7 21:22:53 2022  multiply complete, coefficients have about 47.29 million bits
Thu Apr  7 21:22:53 2022  initial square root is modulo 6162241
Thu Apr  7 21:23:22 2022  GCD is 1, no factor found
Thu Apr  7 21:23:22 2022  reading relations for dependency 4
Thu Apr  7 21:23:22 2022  read 382666 cycles
Thu Apr  7 21:23:22 2022  cycles contain 1403278 unique relations
Thu Apr  7 21:23:27 2022  read 1403278 relations
Thu Apr  7 21:23:29 2022  multiplying 1403278 relations
Thu Apr  7 21:23:51 2022  multiply complete, coefficients have about 47.23 million bits
Thu Apr  7 21:23:51 2022  initial square root is modulo 6047351
Thu Apr  7 21:24:20 2022  GCD is N, no factor found
Thu Apr  7 21:24:20 2022  reading relations for dependency 5
Thu Apr  7 21:24:20 2022  read 382002 cycles
Thu Apr  7 21:24:20 2022  cycles contain 1402862 unique relations
Thu Apr  7 21:24:25 2022  read 1402862 relations
Thu Apr  7 21:24:28 2022  multiplying 1402862 relations
Thu Apr  7 21:24:49 2022  multiply complete, coefficients have about 47.22 million bits
Thu Apr  7 21:24:49 2022  initial square root is modulo 6018191
Thu Apr  7 21:25:18 2022  sqrtTime: 291
Thu Apr  7 21:25:18 2022  p56 factor: 29308042389450949913905433070664467516155982758564515201
Thu Apr  7 21:25:18 2022  p76 factor: 6842729981999913625509184288702751510515644155082650994511184409841609842821
Thu Apr  7 21:25:18 2022  elapsed time 00:04:51

Dual Xeon Platinum 8375C @ 2.9GHz, 2 x 32C and Ubuntu 20.04

2295836289973487453032638513225133798252097967255546252580344339103736991772693053128552235012019930532382108786970841832134300530454785103394086756611951820411<160>

146785401494655219354175499164326246889<39>
15640767178451897498361751605435461553584873577485202378106869631634350563517422160859898334350135592481214209391637205699<122>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3975918179
Step 1 took 7093ms
Step 2 took 3766ms
********** Factor found in step 2: 146785401494655219354175499164326246889
Found prime factor of 39 digits: 146785401494655219354175499164326246889
Prime cofactor 15640767178451897498361751605435461553584873577485202378106869631634350563517422160859898334350135592481214209391637205699 has 122 digits

GMP-ECM

2110171870486846374362163710622322422352044827830262209998299062147741866680646575305395841051114654357591841477959269386630857597<130>

399688779046086010081343277184054564846647820207454487677<57>
5279537432907351044259279354236022461128831254664012625842126174606600961<73>

Fri Jun 10 13:25:05 2022  Msieve v. 1.54 (SVN 1044)
Fri Jun 10 13:25:05 2022  random seeds: e0bedcb5 212c638a
Fri Jun 10 13:25:05 2022  factoring 2110171870486846374362163710622322422352044827830262209998299062147741866680646575305395841051114654357591841477959269386630857597 (130 digits)
Fri Jun 10 13:25:05 2022  searching for 15-digit factors
Fri Jun 10 13:25:06 2022  commencing number field sieve (130-digit input)
Fri Jun 10 13:25:06 2022  R0: -12279889013276182269446706
Fri Jun 10 13:25:06 2022  R1: 115197011921151397
Fri Jun 10 13:25:06 2022  A0: -7543098282584109465593290573718
Fri Jun 10 13:25:06 2022  A1: 169767647659335901678703589
Fri Jun 10 13:25:06 2022  A2: -111900917390537387200
Fri Jun 10 13:25:06 2022  A3: -10288141203363699
Fri Jun 10 13:25:06 2022  A4: -1210867452
Fri Jun 10 13:25:06 2022  A5: 30240
Fri Jun 10 13:25:06 2022  skew 1.00, size 1.887e-12, alpha -6.662, combined = 1.685e-12 rroots = 5
Fri Jun 10 13:25:06 2022
Fri Jun 10 13:25:06 2022  commencing linear algebra
Fri Jun 10 13:25:06 2022  read 1159566 cycles
Fri Jun 10 13:25:07 2022  cycles contain 4686361 unique relations
Fri Jun 10 13:25:25 2022  read 4686361 relations
Fri Jun 10 13:25:30 2022  using 20 quadratic characters above 4294917295
Fri Jun 10 13:25:50 2022  building initial matrix
Fri Jun 10 13:26:23 2022  memory use: 579.7 MB
Fri Jun 10 13:26:24 2022  read 1159566 cycles
Fri Jun 10 13:26:24 2022  matrix is 1159382 x 1159566 (430.6 MB) with weight 132949139 (114.65/col)
Fri Jun 10 13:26:24 2022  sparse part has weight 100124561 (86.35/col)
Fri Jun 10 13:26:29 2022  filtering completed in 1 passes
Fri Jun 10 13:26:29 2022  matrix is 1159382 x 1159566 (430.6 MB) with weight 132949139 (114.65/col)
Fri Jun 10 13:26:29 2022  sparse part has weight 100124561 (86.35/col)
Fri Jun 10 13:26:31 2022  matrix starts at (0, 0)
Fri Jun 10 13:26:31 2022  matrix is 1159382 x 1159566 (430.6 MB) with weight 132949139 (114.65/col)
Fri Jun 10 13:26:31 2022  sparse part has weight 100124561 (86.35/col)
Fri Jun 10 13:26:31 2022  saving the first 48 matrix rows for later
Fri Jun 10 13:26:31 2022  matrix includes 64 packed rows
Fri Jun 10 13:26:31 2022  matrix is 1159334 x 1159566 (414.8 MB) with weight 109076221 (94.07/col)
Fri Jun 10 13:26:31 2022  sparse part has weight 97136768 (83.77/col)
Fri Jun 10 13:26:31 2022  using block size 8192 and superblock size 6291456 for processor cache size 65536 kB
Fri Jun 10 13:26:35 2022  commencing Lanczos iteration (20 threads)
Fri Jun 10 13:26:35 2022  memory use: 383.9 MB
Fri Jun 10 13:26:38 2022  linear algebra at 0.1%, ETA 0h38m
Fri Jun 10 13:26:39 2022  checkpointing every 1820000 dimensions
Fri Jun 10 13:48:38 2022  lanczos halted after 18335 iterations (dim = 1159334)
Fri Jun 10 13:48:39 2022  recovered 29 nontrivial dependencies
Fri Jun 10 13:48:39 2022  BLanczosTime: 1413
Fri Jun 10 13:48:39 2022  elapsed time 00:23:34
Fri Jun 10 13:52:27 2022
Fri Jun 10 13:52:27 2022
Fri Jun 10 13:52:27 2022  Msieve v. 1.54 (SVN 1044)
Fri Jun 10 13:52:27 2022  random seeds: 0f469060 f1d0d12d
Fri Jun 10 13:52:27 2022  factoring 2110171870486846374362163710622322422352044827830262209998299062147741866680646575305395841051114654357591841477959269386630857597 (130 digits)
Fri Jun 10 13:52:27 2022  searching for 15-digit factors
Fri Jun 10 13:52:28 2022  commencing number field sieve (130-digit input)
Fri Jun 10 13:52:28 2022  R0: -12279889013276182269446706
Fri Jun 10 13:52:28 2022  R1: 115197011921151397
Fri Jun 10 13:52:28 2022  A0: -7543098282584109465593290573718
Fri Jun 10 13:52:28 2022  A1: 169767647659335901678703589
Fri Jun 10 13:52:28 2022  A2: -111900917390537387200
Fri Jun 10 13:52:28 2022  A3: -10288141203363699
Fri Jun 10 13:52:28 2022  A4: -1210867452
Fri Jun 10 13:52:28 2022  A5: 30240
Fri Jun 10 13:52:28 2022  skew 1.00, size 1.887e-12, alpha -6.662, combined = 1.685e-12 rroots = 5
Fri Jun 10 13:52:28 2022
Fri Jun 10 13:52:28 2022  commencing square root phase
Fri Jun 10 13:52:28 2022  reading relations for dependency 1
Fri Jun 10 13:52:28 2022  read 580314 cycles
Fri Jun 10 13:52:29 2022  cycles contain 2344808 unique relations
Fri Jun 10 13:52:39 2022  read 2344808 relations
Fri Jun 10 13:52:46 2022  multiplying 2344808 relations
Fri Jun 10 13:54:19 2022  multiply complete, coefficients have about 106.47 million bits
Fri Jun 10 13:54:20 2022  initial square root is modulo 43859227
Fri Jun 10 13:56:17 2022  GCD is 1, no factor found
Fri Jun 10 13:56:17 2022  reading relations for dependency 2
Fri Jun 10 13:56:17 2022  read 580257 cycles
Fri Jun 10 13:56:18 2022  cycles contain 2344394 unique relations
Fri Jun 10 13:56:28 2022  read 2344394 relations
Fri Jun 10 13:56:35 2022  multiplying 2344394 relations
Fri Jun 10 13:58:08 2022  multiply complete, coefficients have about 106.45 million bits
Fri Jun 10 13:58:09 2022  initial square root is modulo 43703201
Fri Jun 10 14:00:07 2022  GCD is 1, no factor found
Fri Jun 10 14:00:07 2022  reading relations for dependency 3
Fri Jun 10 14:00:07 2022  read 579916 cycles
Fri Jun 10 14:00:08 2022  cycles contain 2342886 unique relations
Fri Jun 10 14:00:18 2022  read 2342886 relations
Fri Jun 10 14:00:25 2022  multiplying 2342886 relations
Fri Jun 10 14:01:58 2022  multiply complete, coefficients have about 106.37 million bits
Fri Jun 10 14:01:58 2022  initial square root is modulo 43183607
Fri Jun 10 14:03:57 2022  sqrtTime: 689
Fri Jun 10 14:03:57 2022  p57 factor: 399688779046086010081343277184054564846647820207454487677
Fri Jun 10 14:03:57 2022  p73 factor: 5279537432907351044259279354236022461128831254664012625842126174606600961

CADO (sieving), msieve (postprocessing)

Epyc 4701P, 128 GB, Ubuntu

51185535918503608957441428141074997600398264632213317492851340898846382940475659902775244601177039414699994937101181991<119>

43033825834041433115214384099760694736364483888003427<53>
1189425641956608364605468399224343605036424808934996822530425210733<67>

51185535918503608957441428141074997600398264632213317492851340898846382940475659902775244601177039414699994937101181991=43033825834041433115214384099760694736364483888003427*1189425641956608364605468399224343605036424808934996822530425210733

cado polynomial
n: 51185535918503608957441428141074997600398264632213317492851340898846382940475659902775244601177039414699994937101181991
skew: 60434.83
c0: 21449790542447621915764206900
c1: 674885664961595353037689
c2: -21765537154197243076
c3: -702424083674225
c4: 4923832272
c5: 30240
Y0: -132333577265361757167828
Y1: 799128580585777
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.605e-06
# f(x) = 30240*x^5+4923832272*x^4-702424083674225*x^3-21765537154197243076*x^2+674885664961595353037689*x+21449790542447621915764206900
# g(x) = 799128580585777*x-132333577265361757167828

cado parameters (extracts)
tasks.lim0 = 3000000
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: 43033825834041433115214384099760694736364483888003427 1189425641956608364605468399224343605036424808934996822530425210733
Info:Square Root: Total cpu/real time for sqrt: 309.61/90.8179
Info:Filtering - Singleton removal: Total cpu/real time for purge: 55.28/57.7245
Info:Linear Algebra: Total cpu/real time for bwc: 3652.9/950.75
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2215.98, WCT time 574.79, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (19712 iterations)
Info:Linear Algebra: Lingen CPU time 105.37, WCT time 26.85
Info:Linear Algebra: Mksol: CPU time 1271.03,  WCT time 327.88, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9984 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13449659
Info:Lattice Sieving: Average J: 1902.44 for 224969 special-q, max bucket fill -bkmult 1.0,1s:1.255500
Info:Lattice Sieving: Total time: 33724.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.11/1.37018
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1375.95
Info:Polynomial Selection (root optimized): Rootsieve time: 1373.27
Info:Generate Free Relations: Total cpu/real time for freerel: 126.38/33.197
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.37/59.9566
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 59.9s
Info:Filtering - Merging: Merged matrix has 622774 rows and total weight 62728517 (100.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 46.01/15.2157
Info:Filtering - Merging: Total cpu/real time for replay: 14.87/11.7388
Info:Quadratic Characters: Total cpu/real time for characters: 19.01/7.32378
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): 20029/34.450/42.428/46.940/1.054
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15830/34.050/37.524/42.930/0.843
Info:Polynomial Selection (size optimized): Total time: 2488.44
Info:Square Root: Total cpu/real time for sqrt: 309.61/90.8179
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 131.45/114.167
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 101.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 72191.2/10662.4
Info:root: Cleaning up computation data in /tmp/cado.dyjctt7o
43033825834041433115214384099760694736364483888003427 1189425641956608364605468399224343605036424808934996822530425210733

cado-nfs-3.0.0

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

401162229062008517588200172167316597547281711024573226487381534266795389648202450174231109969078685518805166745574454678172656287330230325120722238078428841165382749<165>

348387539927551699614683907508712677701954899<45>
487368001990444161408602708315612000882918207777<48>
2362655542846776543321067479140641782716558070857578421931172499331263663<73>

Number: n
N=401162229062008517588200172167316597547281711024573226487381534266795389648202450174231109969078685518805166745574454678172656287330230325120722238078428841165382749  ( 165 digits)
SNFS difficulty: 177 digits.
Divisors found:

Wed Mar 16 07:09:29 2022  found factor: 348387539927551699614683907508712677701954899
Wed Mar 16 07:10:37 2022  p45 factor: 348387539927551699614683907508712677701954899
Wed Mar 16 07:10:37 2022  p48 factor: 487368001990444161408602708315612000882918207777
Wed Mar 16 07:10:37 2022  p73 factor: 2362655542846776543321067479140641782716558070857578421931172499331263663
Wed Mar 16 07:10:37 2022  elapsed time 00:28:00 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 482x10^176-5 = 535(176)
#
n: 401162229062008517588200172167316597547281711024573226487381534266795389648202450174231109969078685518805166745574454678172656287330230325120722238078428841165382749
m: 100000000000000000000000000000000000
deg: 5
c5: 964
c0: -1
skew: 0.25
# Murphy_E = 1.175e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 73650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4075728 hash collisions in 34931165 relations (33041303 unique)
Msieve: matrix is 1008065 x 1008313 (326.5 MB)

Sieving start time : 2022/03/15 21:49:06
Sieving end time  : 2022/03/16 06:39:02
Total sieving time: 8hrs 49min 56secs.

Total relation processing time: 0hrs 15min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 17sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

23748109437359929775959154076896616097060899859028755808839818432759028323814933562487412395977805305587330948137846922790890401147652280787713707042151<152>

19824291245122785873797836306889761282256952179047201<53>
1197929809632033627718982249240144644103634800319237657671168256473929078742486230846511195924354951<100>

Number: n
N=23748109437359929775959154076896616097060899859028755808839818432759028323814933562487412395977805305587330948137846922790890401147652280787713707042151  ( 152 digits)
SNFS difficulty: 179 digits.
Divisors found:

Mon Apr 18 02:55:52 2022  p53 factor: 19824291245122785873797836306889761282256952179047201
Mon Apr 18 02:55:52 2022  p100 factor: 1197929809632033627718982249240144644103634800319237657671168256473929078742486230846511195924354951
Mon Apr 18 02:55:52 2022  elapsed time 00:30:05 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 482x10^178-5 = 535(178)
#
n: 23748109437359929775959154076896616097060899859028755808839818432759028323814933562487412395977805305587330948137846922790890401147652280787713707042151
m: 100000000000000000000000000000000000
deg: 5
c5: 96400
c0: -1
skew: 0.10
# Murphy_E = 8.773e-11
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4439155 hash collisions in 30649108 relations (27750191 unique)
Msieve: matrix is 999435 x 999661 (339.5 MB)

Sieving start time : 2022/04/17 23:45:31
Sieving end time  : 2022/04/18 02:24:50

Total sieving time: 2hrs 39min 19secs.

Total relation processing time: 0hrs 16min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 26sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

162322502056102480695294216885419285444514134856470805691129915924410984628119024538448090332422012635741401641437285799713821716690339260978954529618507827<156>

515360679399748899366942678690276655917331908168773505073299404350752256817<75>
314968736546146305674934304809490292979534818321997781010074611703049705629114531<81>

Number: n
N=162322502056102480695294216885419285444514134856470805691129915924410984628119024538448090332422012635741401641437285799713821716690339260978954529618507827  ( 156 digits)
SNFS difficulty: 180 digits.
Divisors found:

Mon Mar 28 08:43:06 2022  p75 factor: 515360679399748899366942678690276655917331908168773505073299404350752256817
Mon Mar 28 08:43:06 2022  p81 factor: 314968736546146305674934304809490292979534818321997781010074611703049705629114531
Mon Mar 28 08:43:06 2022  elapsed time 00:20:42 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 482x10^179-5 = 535(179)
#
n: 162322502056102480695294216885419285444514134856470805691129915924410984628119024538448090332422012635741401641437285799713821716690339260978954529618507827
m: 200000000000000000000000000000000000
deg: 5
c5: 30125
c0: -1
skew: 0.13
# Murphy_E = 7.207e-11
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4110089 hash collisions in 32859457 relations (30669158 unique)
Msieve: matrix is 871994 x 872224 (295.3 MB)

Sieving start time : 2022/03/28 04:59:42
Sieving end time  : 2022/03/28 08:21:41

Total sieving time: 3hrs 21min 59secs.

Total relation processing time: 0hrs 11min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 2sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

452119564432479486293102988918236348724288378194980195806111804312742337924766488797522726187458355313849806800020632114814826134391023063277101290279657799846934235871779<171>

113190448075873765688905488077164218421369<42>
3994326130146732181935327472155892231733216479410838379602956694002807144801408716293394997108327861171109728003829094007568928891<130>

Number: n
N=452119564432479486293102988918236348724288378194980195806111804312742337924766488797522726187458355313849806800020632114814826134391023063277101290279657799846934235871779  ( 171 digits)
SNFS difficulty: 182 digits.
Divisors found:

Mon Mar 14 14:25:19 2022  p42 factor: 113190448075873765688905488077164218421369
Mon Mar 14 14:25:19 2022  p130 factor: 3994326130146732181935327472155892231733216479410838379602956694002807144801408716293394997108327861171109728003829094007568928891
Mon Mar 14 14:25:19 2022  elapsed time 00:21:04 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.289).
Factorization parameters were as follows:
#
# N = 482x10^181-5 = 535(181)
#
n: 452119564432479486293102988918236348724288378194980195806111804312742337924766488797522726187458355313849806800020632114814826134391023063277101290279657799846934235871779
m: 1000000000000000000000000000000000000
deg: 5
c5: 964
c0: -1
skew: 0.25
# Murphy_E = 7.378e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4782007 hash collisions in 36476884 relations (33866927 unique)
Msieve: matrix is 857759 x 857989 (289.0 MB)

Sieving start time : 2022/03/14 10:10:19
Sieving end time  : 2022/03/14 14:03:40

Total sieving time: 3hrs 53min 21secs.

Total relation processing time: 0hrs 11min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 51sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

1354997735575985874478737313434882013546271097296489744005653766315203784878624394830513669418925598222882748638717679088152315054920138010117090007<148>

33150681796125859481048679500624220114349<41>
40873902500983769097788638829613878440747037468575007015483476664010740907115589066238351229273244647777043<107>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:218271290
Step 1 took 5734ms
Step 2 took 3391ms
********** Factor found in step 2: 33150681796125859481048679500624220114349
Found prime factor of 41 digits: 33150681796125859481048679500624220114349
Prime cofactor 40873902500983769097788638829613878440747037468575007015483476664010740907115589066238351229273244647777043 has 107 digits

GMP-ECM

447877167806490884260969672626236373293662568764566319343378592595819538465864527879988128853730497152641976090387999417110040812501754407973621478407220697214405225820843<171>

2994876894016767934839187244244210211563385082798890968735584460919837156073<76>
149547772297842996734454030616038846736076289314044544198759882432848117352824695009112833893491<96>

Number: n
N=447877167806490884260969672626236373293662568764566319343378592595819538465864527879988128853730497152641976090387999417110040812501754407973621478407220697214405225820843  ( 171 digits)
SNFS difficulty: 185 digits.
Divisors found:

Fri Mar 18 01:30:06 2022  p76 factor: 2994876894016767934839187244244210211563385082798890968735584460919837156073
Fri Mar 18 01:30:06 2022  p96 factor: 149547772297842996734454030616038846736076289314044544198759882432848117352824695009112833893491
Fri Mar 18 01:30:06 2022  elapsed time 00:33:47 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 482x10^184-5 = 535(184)
#
n: 447877167806490884260969672626236373293662568764566319343378592595819538465864527879988128853730497152641976090387999417110040812501754407973621478407220697214405225820843
m: 2000000000000000000000000000000000000
deg: 5
c5: 30125
c0: -1
skew: 0.13
# Murphy_E = 4.517e-11
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4170826 hash collisions in 36398195 relations (33606244 unique)
Msieve: matrix is 1085444 x 1085672 (369.0 MB)

Sieving start time : 2022/03/17 20:04:27
Sieving end time  : 2022/03/18 00:55:01

Total sieving time: 4hrs 50min 34secs.

Total relation processing time: 0hrs 19min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 18sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

40957701384593506629182739545373098830777157984871064742034872428958178640199618538442746280113043255309430028866838901235835479894772302980773034443700571<155>

3591804754873512487519634656566699461164627180432489729868473<61>
11403097935382029450428522046990240373219523659362755802455356016803198362099029311095362216627<95>

Number: n
N=40957701384593506629182739545373098830777157984871064742034872428958178640199618538442746280113043255309430028866838901235835479894772302980773034443700571  ( 155 digits)
SNFS difficulty: 187 digits.
Divisors found:

Tue Mar 29 09:50:17 2022  p61 factor: 3591804754873512487519634656566699461164627180432489729868473
Tue Mar 29 09:50:17 2022  p95 factor: 11403097935382029450428522046990240373219523659362755802455356016803198362099029311095362216627
Tue Mar 29 09:50:17 2022  elapsed time 00:29:02 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 482x10^186-5 = 535(186)
#
n: 40957701384593506629182739545373098830777157984871064742034872428958178640199618538442746280113043255309430028866838901235835479894772302980773034443700571
m: 10000000000000000000000000000000000000
deg: 5
c5: 964
c0: -1
skew: 0.25
# Murphy_E = 4.613e-11
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3707618 hash collisions in 31299850 relations (29440945 unique)
Msieve: matrix is 1091587 x 1091814 (377.4 MB)

Sieving start time : 2022/03/29 05:19:01
Sieving end time  : 2022/03/29 09:20:40

Total sieving time: 4hrs 1min 39secs.

Total relation processing time: 0hrs 19min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 21sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

35181740521144594238720064461040575586972436390299388029765099104956263459661612679650852218219016024829230375540776471394587119427780777142054543779129802938749407<164>

715208210799752303835780543491839786442415519181<48>
49190906913392469455800867492803274524957319488533226869527167317677522316609592807673241448606544993350972585785947<116>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1857175452
Step 1 took 7047ms
Step 2 took 3734ms
********** Factor found in step 2: 715208210799752303835780543491839786442415519181
Found prime factor of 48 digits: 715208210799752303835780543491839786442415519181
Prime cofactor 49190906913392469455800867492803274524957319488533226869527167317677522316609592807673241448606544993350972585785947 has 116 digits

GMP-ECM

141288894751498629614973105277814419088657315804130208562341526330445998036025736856761787509709947383077576983394157909393366457078368435709155930762578962024945404446789488340734878131<186>

251955226005200278548203465670848687562161002629979739381441<60>
560769851817173540921469203742079167293449104062168453348219685076579331703674004174643509448931947708992128943328335193887091<126>

Number: n
N=141288894751498629614973105277814419088657315804130208562341526330445998036025736856761787509709947383077576983394157909393366457078368435709155930762578962024945404446789488340734878131  ( 186 digits)
SNFS difficulty: 189 digits.
Divisors found:

Wed Mar 16 13:01:18 2022  p60 factor: 251955226005200278548203465670848687562161002629979739381441
Wed Mar 16 13:01:18 2022  p126 factor: 560769851817173540921469203742079167293449104062168453348219685076579331703674004174643509448931947708992128943328335193887091
Wed Mar 16 13:01:18 2022  elapsed time 00:34:31 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 482x10^188-5 = 535(188)
#
n: 141288894751498629614973105277814419088657315804130208562341526330445998036025736856761787509709947383077576983394157909393366457078368435709155930762578962024945404446789488340734878131
m: 10000000000000000000000000000000000000
deg: 5
c5: 96400
c0: -1
skew: 0.10
# Murphy_E = 3.438e-11
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18001031)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4281258 hash collisions in 33344206 relations (30983494 unique)
Msieve: matrix is 1175170 x 1175398 (404.9 MB)

Sieving start time : 2022/03/16 07:12:28
Sieving end time  : 2022/03/16 12:26:11

Total sieving time: 5hrs 13min 43secs.

Total relation processing time: 0hrs 24min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 35sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

184129311256304487061090702344792881029106610978714614537487819712160199402753254848347884652130163865161358139077951639365932381352966822083432524872914451829453889<165>

2234109355506571121403152792418256331657<40>
82417322501455731820469895679983044476114314578176286502841116791663263251516723101410969007437715981075316242210287886025977<125>

Number: n
N=184129311256304487061090702344792881029106610978714614537487819712160199402753254848347884652130163865161358139077951639365932381352966822083432524872914451829453889  ( 165 digits)
SNFS difficulty: 190 digits.
Divisors found:

Fri Apr  1 23:07:59 2022  p40 factor: 2234109355506571121403152792418256331657
Fri Apr  1 23:07:59 2022  p125 factor: 82417322501455731820469895679983044476114314578176286502841116791663263251516723101410969007437715981075316242210287886025977
Fri Apr  1 23:07:59 2022  elapsed time 00:42:17 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 482x10^189-5 = 535(189)
#
n: 184129311256304487061090702344792881029106610978714614537487819712160199402753254848347884652130163865161358139077951639365932381352966822083432524872914451829453889
m: 20000000000000000000000000000000000000
deg: 5
c5: 30125
c0: -1
skew: 0.13
# Murphy_E = 2.818e-11
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3940795 hash collisions in 30284532 relations (28002355 unique)
Msieve: matrix is 1342051 x 1342277 (463.2 MB)

Sieving start time : 2022/04/01 17:31:09
Sieving end time  : 2022/04/01 22:25:10
Total relation processing time: 0hrs 32min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 57sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

Total sieving time: 4hrs 54min 1secs.

10711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<194>

152286008898859226877787395411071320491419871915842823738825745402943<69>
70335490361592554337756103648405295285194452082893647891455375318474855984848628895180014683456188931650448661635642060691577<125>

Mon Mar 14 13:45:50 2022  Msieve v. 1.53 (SVN unknown)
Mon Mar 14 13:45:50 2022  random seeds: 09b764a0 2059c412
Mon Mar 14 13:45:50 2022  factoring 10711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (194 digits)
Mon Mar 14 13:45:51 2022  searching for 15-digit factors
Mon Mar 14 13:45:52 2022  commencing number field sieve (194-digit input)
Mon Mar 14 13:45:52 2022  R0: -100000000000000000000000000000000000000
Mon Mar 14 13:45:52 2022  R1: 1
Mon Mar 14 13:45:52 2022  A0: -1
Mon Mar 14 13:45:52 2022  A1: 0
Mon Mar 14 13:45:52 2022  A2: 0
Mon Mar 14 13:45:52 2022  A3: 0
Mon Mar 14 13:45:52 2022  A4: 0
Mon Mar 14 13:45:52 2022  A5: 9640
Mon Mar 14 13:45:52 2022  skew 0.16, size 1.274e-13, alpha 0.440, combined = 2.361e-11 rroots = 1
Mon Mar 14 13:45:52 2022  
Mon Mar 14 13:45:52 2022  commencing square root phase
Mon Mar 14 13:45:52 2022  reading relations for dependency 1
Mon Mar 14 13:45:52 2022  read 1333007 cycles
Mon Mar 14 13:45:54 2022  cycles contain 4307790 unique relations
Mon Mar 14 13:46:30 2022  read 4307790 relations
Mon Mar 14 13:46:48 2022  multiplying 4307790 relations
Mon Mar 14 13:48:46 2022  multiply complete, coefficients have about 149.71 million bits
Mon Mar 14 13:48:46 2022  initial square root is modulo 236021
Mon Mar 14 13:51:04 2022  GCD is 1, no factor found
Mon Mar 14 13:51:04 2022  reading relations for dependency 2
Mon Mar 14 13:51:04 2022  read 1334699 cycles
Mon Mar 14 13:51:05 2022  cycles contain 4311758 unique relations
Mon Mar 14 13:51:41 2022  read 4311758 relations
Mon Mar 14 13:51:59 2022  multiplying 4311758 relations
Mon Mar 14 13:54:00 2022  multiply complete, coefficients have about 149.86 million bits
Mon Mar 14 13:54:01 2022  initial square root is modulo 238801
Mon Mar 14 13:56:19 2022  sqrtTime: 627
Mon Mar 14 13:56:19 2022  p69 factor: 152286008898859226877787395411071320491419871915842823738825745402943
Mon Mar 14 13:56:19 2022  p125 factor: 70335490361592554337756103648405295285194452082893647891455375318474855984848628895180014683456188931650448661635642060691577
Mon Mar 14 13:56:19 2022  elapsed time 00:10:29
Mon Mar 14 13:56:19 2022 -> Computing 1.64723e+09 scale for this machine...
Mon Mar 14 13:56:19 2022 -> procrels -speedtest> PIPE
Mon Mar 14 13:56:21 2022 -> Factorization summary written to s194-53555_192.txt

1982442093186062113710491672571454210828642190754816827423941775697221404027915423667739762494150978407243025887548579096374827558529520392052140969839946782595213250494275871<175>

86240554290690142394985368746309220517551<41>
22987353333837177110591393236494218317389625872027263247706164457194262675247457805031305473586871636234435986077275962080840421042321<134>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2814783510
Step 1 took 8453ms
Step 2 took 4203ms
********** Factor found in step 2: 86240554290690142394985368746309220517551
Found prime factor of 41 digits: 86240554290690142394985368746309220517551
Prime cofactor 22987353333837177110591393236494218317389625872027263247706164457194262675247457805031305473586871636234435986077275962080840421042321 has 134 digits
 

GMP-ECM

2349853662447558993774753124926950767709358839621783630026603880671198460810418033739587586319369343569303004768898595353359005970654515127003458775420020343534855880778766278603050150133<187>

15415922053884836190515783125491832192005465880583<50>
405808757406195415843112967300934297080185887637737<51>
375621027756923837204079580488625828566855731382371327520768501704825821068829544935723<87>

Number: n
N=2349853662447558993774753124926950767709358839621783630026603880671198460810418033739587586319369343569303004768898595353359005970654515127003458775420020343534855880778766278603050150133  ( 187 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sat Apr  9 08:46:46 2022  found factor: 375621027756923837204079580488625828566855731382371327520768501704825821068829544935723
Sat Apr  9 08:49:07 2022  p50 factor: 15415922053884836190515783125491832192005465880583
Sat Apr  9 08:49:07 2022  p51 factor: 405808757406195415843112967300934297080185887637737
Sat Apr  9 08:49:07 2022  p87 factor: 375621027756923837204079580488625828566855731382371327520768501704825821068829544935723
Sat Apr  9 08:49:07 2022  elapsed time 01:17:15 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 482x10^195-5 = 535(195)
#
n: 2349853662447558993774753124926950767709358839621783630026603880671198460810418033739587586319369343569303004768898595353359005970654515127003458775420020343534855880778766278603050150133
m: 1000000000000000000000000000000000000000
deg: 5
c5: 482
c0: -5
skew: 0.40
# Murphy_E = 1.573e-11
type: snfs
lss: 1
rlim: 13800000
alim: 13800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13800000/13800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4049345 hash collisions in 29841829 relations (27359241 unique)
Msieve: matrix is 1806002 x 1806228 (630.3 MB)

Sieving start time : 2022/04/08 23:24:06
Sieving end time  : 2022/04/09 07:31:17

Total sieving time: 8hrs 7min 11secs.

Total relation processing time: 1hrs 3min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 41sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13800000,13800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118659] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

107111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<198>

1161241433727201603879126336986344038924812658905290612025267361865663<70>
92238451023332683297063636410705258410908464710968605756428171345749650131636352092402413036718624996289052882998556835314888697<128>

Number: n
N=107111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111  ( 198 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sun Apr 10 09:38:08 2022  p70 factor: 1161241433727201603879126336986344038924812658905290612025267361865663
Sun Apr 10 09:38:08 2022  p128 factor: 92238451023332683297063636410705258410908464710968605756428171345749650131636352092402413036718624996289052882998556835314888697
Sun Apr 10 09:38:08 2022  elapsed time 01:12:18 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 82x10^196-5 = 535(196)
#
n: 107111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 1000000000000000000000000000000000000000
deg: 5
c5: 964
c0: -1
skew: 0.25
# Murphy_E = 1.78e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3922143 hash collisions in 30069946 relations (27784963 unique)
Msieve: matrix is 1713775 x 1714000 (597.3 MB)

Sieving start time : 2022/04/10 01:07:50
Sieving end time  : 2022/04/10 08:25:17

Total sieving time: 7hrs 17min 27secs.

Total relation processing time: 0hrs 58min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 38sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,14000000,14000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118659] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

43524927509472919691983388004442472558121371330706902385461357525657545121984454204415380941121672944754868512251362273<119>

5254510616952125176202347749620372424019<40>
8283345621008473719112902696512868658262281033563165895316857733371328084787067<79>

43524927509472919691983388004442472558121371330706902385461357525657545121984454204415380941121672944754868512251362273=5254510616952125176202347749620372424019*8283345621008473719112902696512868658262281033563165895316857733371328084787067

cado polynomial
n: 43524927509472919691983388004442472558121371330706902385461357525657545121984454204415380941121672944754868512251362273
skew: 6023.124
c0: 3345953844685197924431197
c1: 5288345333685427855218
c2: -77387306541272033
c3: -479079748286012
c4: 3597748250
c5: 924000
Y0: -65163907593709431588156
Y1: 40851244933686613
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.631e-06
# f(x) = 924000*x^5+3597748250*x^4-479079748286012*x^3-77387306541272033*x^2+5288345333685427855218*x+3345953844685197924431197
# g(x) = 40851244933686613*x-65163907593709431588156

cado parameters (extracts)
tasks.lim0 = 3000000
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: 8283345621008473719112902696512868658262281033563165895316857733371328084787067 5254510616952125176202347749620372424019
Info:Square Root: Total cpu/real time for sqrt: 168.36/49.5651
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 128.07/108.858
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 97.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 55.45/57.9876
Info:Linear Algebra: Total cpu/real time for bwc: 3458.7/899.35
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2089.84, WCT time 541.39, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (19200 iterations)
Info:Linear Algebra: Lingen CPU time 102.42, WCT time 26.03
Info:Linear Algebra: Mksol: CPU time 1208.45,  WCT time 311.82, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9728 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13438683
Info:Lattice Sieving: Average J: 1892.45 for 221981 special-q, max bucket fill -bkmult 1.0,1s:1.252150
Info:Lattice Sieving: Total time: 27613.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.13/1.36707
Info:Generate Free Relations: Total cpu/real time for freerel: 127.28/33.09
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1071.98
Info:Polynomial Selection (root optimized): Rootsieve time: 1069.6
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.37/58.5524
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 58.4s
Info:Filtering - Merging: Merged matrix has 610125 rows and total weight 61079676 (100.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 44.95/14.8514
Info:Filtering - Merging: Total cpu/real time for replay: 14.52/11.486
Info:Quadratic Characters: Total cpu/real time for characters: 18.57/7.13152
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): 20056/34.940/42.372/47.250/1.033
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15944/34.330/37.486/42.860/0.807
Info:Polynomial Selection (size optimized): Total time: 2279.2
Info:Square Root: Total cpu/real time for sqrt: 168.36/49.5651
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 58495.1/16134.9
Info:root: Cleaning up computation data in /tmp/cado.x9kwm4_p
8283345621008473719112902696512868658262281033563165895316857733371328084787067 5254510616952125176202347749620372424019

cado-nfs-3.0.0

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

107111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<201>

15327194226349460363098417487625413152697<41>
6988305199850148714265331914721382779833228979882301569982599245832712580809135997632956637610920820729003829365383763042739526397060903412935307569181747809663<160>

Number: n
N=107111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111  ( 201 digits)
SNFS difficulty: 200 digits.
Divisors found:

Thu Apr 14 20:38:36 2022  p41 factor: 15327194226349460363098417487625413152697
Thu Apr 14 20:38:36 2022  p160 factor: 6988305199850148714265331914721382779833228979882301569982599245832712580809135997632956637610920820729003829365383763042739526397060903412935307569181747809663
Thu Apr 14 20:38:36 2022  elapsed time 01:55:14 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 482x10^199-5 = 535(199)
#
n: 10711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
1
m: 2000000000000000000000000000000000000000
deg: 5
c5: 30125
c0: -1
skew: 0.13
# Murphy_E = 1.084e-11
type: snfs
lss: 1
rlim: 15700000
alim: 15700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15700000/15700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4084794 hash collisions in 29138631 relations (26529781 unique)
Msieve: matrix is 2213567 x 2213792 (770.9 MB)

Sieving start time : 2022/04/14 08:17:44
Sieving end time  : 2022/04/14 18:42:47

Total sieving time: 10hrs 25min 3secs.

Total relation processing time: 1hrs 32min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 43sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15700000,15700000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

4415012432162386316777186247251820453529817445727149602955335750789777180387868919417478241938332242044156288145648236100271<124>

234968401082506311743603592670938159226220925668662600057<57>
18789813489057654639462893057511910150057020744289704050289369619303<68>

4415012432162386316777186247251820453529817445727149602955335750789777180387868919417478241938332242044156288145648236100271=234968401082506311743603592670938159226220925668662600057*18789813489057654639462893057511910150057020744289704050289369619303

cado polynomial
n: 4415012432162386316777186247251820453529817445727149602955335750789777180387868919417478241938332242044156288145648236100271
skew: 34532.154
c0: -3634924603160730979900104336
c1: -211779947917262632932975
c2: 16386035755056310708
c3: 99209627800918
c4: -4921547310
c5: -86700
Y0: -760554626275217645269457
Y1: 7122807650863151
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.758e-07
# f(x) = -86700*x^5-4921547310*x^4+99209627800918*x^3+16386035755056310708*x^2-211779947917262632932975*x-3634924603160730979900104336
# g(x) = 7122807650863151*x-760554626275217645269457

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: 18789813489057654639462893057511910150057020744289704050289369619303 234968401082506311743603592670938159226220925668662600057
Info:Square Root: Total cpu/real time for sqrt: 274.17/82.4092
Info:Filtering - Singleton removal: Total cpu/real time for purge: 51.73/60.5222
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11623337
Info:Lattice Sieving: Average J: 3799.18 for 181523 special-q, max bucket fill -bkmult 1.0,1s:1.211710
Info:Lattice Sieving: Total time: 53994.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.54/2.27232
Info:Linear Algebra: Total cpu/real time for bwc: 8681.85/2230.21
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5466.12, WCT time 1396.46, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23808 iterations)
Info:Linear Algebra: Lingen CPU time 131.42, WCT time 33.42
Info:Linear Algebra: Mksol: CPU time 2966.05,  WCT time 757.12, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12032 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 127.05/33.0691
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 48.44/55.32
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 55.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2681.64
Info:Polynomial Selection (root optimized): Rootsieve time: 2679.13
Info:Filtering - Merging: Merged matrix has 755444 rows and total weight 129093360 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 155.84/45.1565
Info:Filtering - Merging: Total cpu/real time for replay: 28/23.1307
Info:Quadratic Characters: Total cpu/real time for characters: 28.39/11.2149
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): 20284/35.810/44.034/47.260/0.876
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16050/35.300/39.412/44.790/0.917
Info:Polynomial Selection (size optimized): Total time: 1969.28
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 126.01/108.828
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 96.6s
Info:Square Root: Total cpu/real time for sqrt: 274.17/82.4092
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 114826/31189.7
Info:root: Cleaning up computation data in /tmp/cado.hodms2yt
18789813489057654639462893057511910150057020744289704050289369619303 234968401082506311743603592670938159226220925668662600057

cado-nfs-3.0.0

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

147010708678145242551348794750278250828991310592566951643050855165747663242525910124744556661598565757463491422419992474804313446968409448473217325084938274561447934789171712623<177>

7924533887893015386208945744674997713746362757690979757000209348470012091987535801<82>
18551338256341613906921400016045738259090285805453827389972299345647266743609337155072013029223<95>

Number: n
N=147010708678145242551348794750278250828991310592566951643050855165747663242525910124744556661598565757463491422419992474804313446968409448473217325084938274561447934789171712623  ( 177 digits)
SNFS difficulty: 204 digits.
Divisors found:

Wed Sep 13 19:57:32 2023  prp82 factor: 7924533887893015386208945744674997713746362757690979757000209348470012091987535801
Wed Sep 13 19:57:32 2023  prp95 factor: 18551338256341613906921400016045738259090285805453827389972299345647266743609337155072013029223
Wed Sep 13 19:57:32 2023  elapsed time 03:01:29 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.098).
Factorization parameters were as follows:
#
# N = 482x10^203-5 = 535(203)
#
n: 147010708678145242551348794750278250828991310592566951643050855165747663242525910124744556661598565757463491422419992474804313446968409448473217325084938274561447934789171712623
m: 10000000000000000000000000000000000000000
deg: 5
c5: 96400
c0: -1
skew: 0.10
# Murphy_E = 8.17e-12
type: snfs
lss: 1
rlim: 18300000
alim: 18300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18300000/18300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3732323 hash collisions in 19268312 relations (16204040 unique)
Msieve: matrix is 2402054 x 2402279 (678.0 MB)

Sieving start time: 2023/09/12 20:30:12
Sieving end time  : 2023/09/13 16:55:40

Total sieving time: 20hrs 25min 28secs.

Total relation processing time: 2hrs 52min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 30sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18300000,18300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

5879697551407036230234056607281756323491290039434583703543030179927799281220196942637193079019470943580042722538733798586593781099988112296506659314834515051323254579121<169>

66217484197059728992218731134363222332879806873<47>
88793732089086432951016504573720668551177106962190089644371026509721012897091512343324295521742482907389203629604402556377<122>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1591701161
Step 1 took 37376ms
Step 2 took 13500ms
********** Factor found in step 2: 66217484197059728992218731134363222332879806873
Found probable prime factor of 47 digits: 66217484197059728992218731134363222332879806873
Probable prime cofactor 88793732089086432951016504573720668551177106962190089644371026509721012897091512343324295521742482907389203629604402556377 has 122 digits

32685722035737293595090360424507510256671074492252398874309158105313125148340284135218526430000339063506594785203268572203573729359509036042450751025667107449225239887430915810531312514834028413521852643<203>

30260217286072322535815013765294865372897361080086278796173<59>
1080154901953772244750564216064613587017810799238864318818103104543159195995982850317092504531795232202514169267326943530007847122176022165113391<145>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 32685722035737293595090360424507510256671074492252398874309158105313125148340284135218526430000339063506594785203268572203573729359509036042450751025667107449225239887430915810531312514834028413521852643 (203 digits)
Using B1=53740000, B2=288595146856, polynomial Dickson(12), sigma=1:1037626417
Step 1 took 155445ms
Step 2 took 47263ms
********** Factor found in step 2: 30260217286072322535815013765294865372897361080086278796173
Found prime factor of 59 digits: 30260217286072322535815013765294865372897361080086278796173
Prime cofactor 1080154901953772244750564216064613587017810799238864318818103104543159195995982850317092504531795232202514169267326943530007847122176022165113391 has 145 digits

18496920407164288161423332127341842450339070708520065062709921776021231540416933712078859928352843181757997159081580551634526797221205299369<140>

27423443183668271040908234882322723896576507<44>
674492997953660501275337737509360189184577824368742720791296225036505398129449561864794832196267<96>

04/09/22 20:10:00, System/Build Info: 
04/09/22 20:10:00, YAFU Version 2.08
04/09/22 20:10:00, Built with GCC 9
04/09/22 20:10:00, Using GMP-ECM 7.0.5-dev, Powered by GMP 6.1.2
04/09/22 20:10:00, detected Intel(R) Xeon(R) Platinum 8375C CPU @ 2.90GHz
detected L1 = 49152 bytes, L2 = 56623104 bytes, CL = 64 bytes
04/09/22 20:10:00, using 20 random witnesses for Rabin-Miller PRP checks
04/09/22 20:10:00, Cached 664579 primes: max prime is 9999991
04/09/22 20:10:00, Parsed yafu.ini from /home/florian/Math/yafu
04/09/22 20:10:00, Random seed: 14253213654797607725
04/09/22 20:10:00, Processing: nfs(18496920407164288161423332127341842450339070708520065062709921776021231540416933712078859928352843181757997159081580551634526797221205299369)
04/09/22 20:04:26, nfs: commencing nfs on c140: 18496920407164288161423332127341842450339070708520065062709921776021231540416933712078859928352843181757997159081580551634526797221205299369
04/09/22 20:04:26, nfs: commencing poly selection with 128 threads
04/09/22 20:04:26, nfs: setting deadline of 9 seconds
04/09/22 20:04:26, nfs: expecting degree 5 poly E from 1.79e-11 to > 2.05e-11
04/09/22 20:04:26, nfs: searching for good quality poly E > 1.92e-11
04/09/22 20:06:52, nfs: completed 258 ranges of size 250 in 145.9186 seconds
04/09/22 20:06:52, nfs: best poly = # norm 1.959653e-13 alpha -6.265863 e 2.187e-11 rroots 3

n: 18496920407164288161423332127341842450339070708520065062709921776021231540416933712078859928352843181757997159081580551634526797221205299369
skew: 896666.07
c0: -738113072718486447058154915284425
c1: -12363815589354333153047932347
c2: -6044161315852736538502
c3: -7498492600846604
c4: 62260054976
c5: 13200
Y0: -1069806120784598419075345448
Y1: 54780092477831
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6

04/09/22 20:06:52, nfs: commencing lattice sieving with 128 threads
04/09/22 20:09:35, nfs: refusing to resume without -R option
04/09/22 20:10:00, nfs: previous data file found - commencing search for last special-q
04/09/22 20:10:00, nfs: parsing special-q from .dat file
04/09/22 20:10:00, nfs: commencing nfs on c140: 18496920407164288161423332127341842450339070708520065062709921776021231540416933712078859928352843181757997159081580551634526797221205299369
04/09/22 20:10:00, nfs: resuming with filtering
04/09/22 20:10:00, nfs: commencing lattice sieving with 64 threads
04/09/22 20:18:36, nfs: commencing lattice sieving with 64 threads
04/09/22 20:27:06, nfs: commencing lattice sieving with 64 threads
04/09/22 20:35:26, nfs: commencing lattice sieving with 64 threads
04/09/22 20:43:46, nfs: commencing lattice sieving with 64 threads
04/09/22 20:52:04, nfs: commencing lattice sieving with 64 threads
04/09/22 21:00:34, nfs: commencing lattice sieving with 64 threads
04/09/22 21:09:04, nfs: commencing lattice sieving with 64 threads
04/09/22 21:18:16, nfs: commencing lattice sieving with 64 threads
04/09/22 21:26:55, nfs: commencing lattice sieving with 64 threads
04/09/22 21:35:37, nfs: commencing lattice sieving with 64 threads
04/09/22 21:44:03, nfs: commencing lattice sieving with 64 threads
04/09/22 21:52:31, nfs: commencing lattice sieving with 64 threads
04/09/22 22:01:53, nfs: commencing lattice sieving with 64 threads
04/09/22 22:10:31, nfs: commencing lattice sieving with 64 threads
04/09/22 22:20:24, nfs: commencing lattice sieving with 64 threads
04/09/22 22:29:07, nfs: commencing lattice sieving with 64 threads
04/09/22 22:37:51, nfs: commencing lattice sieving with 64 threads
04/09/22 22:47:06, nfs: commencing lattice sieving with 64 threads
04/09/22 22:55:50, nfs: commencing msieve filtering
04/09/22 22:59:45, nfs: raising min_rels by 5.00 percent to 22624936
04/09/22 22:59:45, nfs: commencing lattice sieving with 64 threads
04/09/22 23:08:59, nfs: commencing msieve filtering
04/09/22 23:14:17, nfs: commencing msieve linear algebra
04/09/22 23:59:33, nfs: commencing msieve sqrt
04/10/22 00:12:44, p44 = 27423443183668271040908234882322723896576507
04/10/22 00:12:44, p96 = 674492997953660501275337737509360189184577824368742720791296225036505398129449561864794832196267
04/10/22 00:12:44, NFS elapsed time = 14563.9837 seconds.

Ubuntu 20.04

11633890508592439250930843680833489709569784580232948586353403219091021919516095091147810993948708575406739534643429700424787580493405967602208260573614675088572657698261675328240970127<185>

3143706896070880868371964049106130533073<40>

3700691856207364122722530744639078103510855268951451128687677464643957364379505188452545840613815010593482723696602903377200019518129330005538399<145>

P40 = 3143706896070880868371964049106130533073

C145 = 3700691856207364122722530744639078103510855268951451128687677464643957364379505188452545840613815010593482723696602903377200019518129330005538399

3700691856207364122722530744639078103510855268951451128687677464643957364379505188452545840613815010593482723696602903377200019518129330005538399<145>

410417029206514293258817500373594641810632254749496386401761303<63>
9016906202362388113677939297086719107243938735026800464038482783266990868826691833<82>

CADO:

STA:Mon 04 Mar 2024 04:47:02 AEDT (3700691856207364122722530744639078103510855268951451128687677464643957364379505188452545840613815010593482723696602903377200019518129330005538399 - C145)

/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 3700691856207364122722530744639078103510855268951451128687677464643957364379505188452545840613815010593482723696602903377200019518129330005538399 2>&1 | tee -a log-43

Debug:root: Looking for parameter file for c145 in directory /home/vboxuser/Math/cado-nfs/parameters/factor
Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c145
Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c145
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.ewggscg_
Info:Database: Opened connection to database /tmp/cado.ewggscg_/c145.db
Info:root: Set tasks.threads=20 based on --server-threads 20
Info:root: tasks.threads = 20 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 20 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/vboxuser/Math/cado-nfs/build/Ubuntu
Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 3700691856207364122722530744639078103510855268951451128687677464643957364379505188452545840613815010593482723696602903377200019518129330005538399
Debug:root: Root parameter dictionary:
N = 3700691856207364122722530744639078103510855268951451128687677464643957364379505188452545840613815010593482723696602903377200019518129330005538399
name = c145
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 3700691856207364122722530744639078103510855268951451128687677464643957364379505188452545840613815010593482723696602903377200019518129330005538399
skew: 41408.21
c0: 215504598949052944335165774632
c1: -246241219862711362920195217
c2: 2539340126413619228002
c3: -407199253667955257
c4: -1006981936440
c5: -327600
Y0: -2046431931211157260762327778
Y1: 65541318437801082331607
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=2.684e+14) = 4.853e-07
# f(x) = -327600*x^5-1006981936440*x^4-407199253667955257*x^3+2539340126413619228002*x^2-246241219862711362920195217*x+215504598949052944335165774632
# g(x) = 65541318437801082331607*x-2046431931211157260762327778
===
Debug:Command: Process with PID 1835112 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 410417029206514293258817500373594641810632254749496386401761303 9016906202362388113677939297086719107243938735026800464038482783266990868826691833
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 4673.92/558.38
Info:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3865.87
Info:Polynomial Selection (root optimized): Rootsieve time: 3859.27
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 85013927
Info:Lattice Sieving: Average J: 7586.32 for 480769 special-q, max bucket fill -bkmult 1.0,1s:1.192450
Info:Lattice Sieving: Total time: 2.17978e+06s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 133692
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 91999/44.270/54.022/65.290/2.416
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78445/42.230/46.895/58.820/1.295
Info:Polynomial Selection (size optimized): Total time: 55052.1
Info:Square Root: Total cpu/real time for sqrt: 4673.92/558.38
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1744.15/1218.34
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1029.9s
Info:Quadratic Characters: Total cpu/real time for characters: 112.75/28.8922
Info:Filtering - Singleton removal: Total cpu/real time for purge: 412.53/125.404
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 703.64/3661.23
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 3660.9s
Info:Filtering - Merging: Total cpu/real time for merge: 311.04/57.816
Info:Filtering - Merging: Total cpu/real time for replay: 40.48/48.1223
Info:Generate Factor Base: Total cpu/real time for makefb: 10.48/2.82855
Info:Generate Free Relations: Total cpu/real time for freerel: 611.29/70.0795
Info:Linear Algebra: Total cpu/real time for bwc: 83288.8/16106.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 49255.59, WCT time 9943.73, iteration CPU time 0.05, COMM 0.05, cpu-wait 0.02, comm-wait 0.01 (76000 iterations)
Info:Linear Algebra: Lingen CPU time 419.09, WCT time 65.89
Info:Linear Algebra: Mksol: CPU time 28940.31,  WCT time 5341.53, iteration CPU time 0.07, COMM 0.05, cpu-wait 0.02, comm-wait 0.0 (40000 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.67676e+06/247476 [2d 20:44:36]
Info:root: Cleaning up computation data in /tmp/cado.ewggscg_
410417029206514293258817500373594641810632254749496386401761303 9016906202362388113677939297086719107243938735026800464038482783266990868826691833

END:Thu 07 Mar 2024 01:31:42 AEDT (3700691856207364122722530744639078103510855268951451128687677464643957364379505188452545840613815010593482723696602903377200019518129330005538399 - C145)

45198554640423953280725462317089920868235929516967350060205496531797365319738361074777074456488372853926515310638641096149175660400230119663621687840098155020993491724385343075830344789400279467<194>

241199112129329533969305693331455540727925282693256490933991952949804087979076720010123683255479954876711091783659918874923543492779935141115197267649158352818620251691815589449551972498007443196294853<201>

2119358504505080349212729393745445411932837002560816105391919567202288469418478738243162415919266823026835736614021074982430403551709536412976857529459145719661700464103976319520855764360062869909<196>

556422709623352469371762144313788231<36>
3808900082348711395404877273548622160810136147600608562457715151233732587088632259066748215861719303372779728967932173687420434082903179539756546783877675791939<160>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1882973683
Step 1 took 9776ms
Step 2 took 4661ms
********** Factor found in step 2: 556422709623352469371762144313788231
Found prime factor of 36 digits: 556422709623352469371762144313788231
Prime cofactor 3808900082348711395404877273548622160810136147600608562457715151233732587088632259066748215861719303372779728967932173687420434082903179539756546783877675791939 has 160 digits

1192601986599562072172321673223662809549238539316378683823637065715146610657582612856807053537593237660719038047888431586269424153556117235838903146925982398061209503897029610504519<181>

79439366776812844730866684787070115170694796803241889875655697287877223332637203309250077746123602385098715883879430845159077825929850659784175482211<149>

6658853882897566617046250593616703040045345210579953928575457972129313556325934820385210063614366042115025956507632021327921681882380101540530713896456713658016260535852592425025939172362733<190>

122059324267447470434715489151912177976541035720619646802007728275369369057629660302222472219707656792232315631786974697488799425236392130166789257587446501258336435287935172713791461<183>

2287989421923801853422975042636209149284258252718927279185338077076047<70>
53347853402581193396730227775626771047695050765457861988031177768592283848757146893307512409579690695473485191563<113>

Number: 53555_219
N = 122059324267447470434715489151912177976541035720619646802007728275369369057629660302222472219707656792232315631786974697488799425236392130166789257587446501258336435287935172713791461 (183 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=2287989421923801853422975042636209149284258252718927279185338077076047 (pp70)
r2=53347853402581193396730227775626771047695050765457861988031177768592283848757146893307512409579690695473485191563 (pp113)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 41.11 hours.
Factorization parameters were as follows:
n: 122059324267447470434715489151912177976541035720619646802007728275369369057629660302222472219707656792232315631786974697488799425236392130166789257587446501258336435287935172713791461
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 241
c0: -25
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: 30375011
Relations: 9712606 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 14.58 hours.
Total relation processing time: 0.33 hours.
Pruned matrix : 8173073 x 8173298
Matrix solve time: 26.04 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 41.11 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

21089730086383921108757014827702736338476827060894510484482213846562606108404054699682167478703754874720361337904304506675097292289171267450070120657871862230199829253<167>

4777811076594627280318293721636995407012315242339093630136189<61>
4414098788815143504202381670694565507435823229039455795992670327287964734523652856707585260011675394574377<106>

Number: 53555_220
N = 21089730086383921108757014827702736338476827060894510484482213846562606108404054699682167478703754874720361337904304506675097292289171267450070120657871862230199829253 (167 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=4777811076594627280318293721636995407012315242339093630136189 (pp61)
r2=4414098788815143504202381670694565507435823229039455795992670327287964734523652856707585260011675394574377 (pp106)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 30.40 hours.
Factorization parameters were as follows:
n: 21089730086383921108757014827702736338476827060894510484482213846562606108404054699682167478703754874720361337904304506675097292289171267450070120657871862230199829253
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 482
c0: -5
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: 30449258
Relations: 8801476 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 10.06 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 7475061 x 7475286
Matrix solve time: 19.60 hours.
time per square root: 0.45 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 30.40 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

2320788634421457184603635326050170992302208455463766287358252287963541566034094127570319744595715977809903452045123879767180629634786309760609464746031284175329631231853795016913914836478307352794919865887473<208>

10704473429185277307318613532500147755314988538224167148763097772581413341604050489535290520486815573109<104>
216805492561075331595372919089314091157482587731749024941398920149735233517992925318797950634439015165197<105>

Number: 53555_221
N = 2320788634421457184603635326050170992302208455463766287358252287963541566034094127570319744595715977809903452045123879767180629634786309760609464746031284175329631231853795016913914836478307352794919865887473 (208 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=10704473429185277307318613532500147755314988538224167148763097772581413341604050489535290520486815573109 (pp104)
r2=216805492561075331595372919089314091157482587731749024941398920149735233517992925318797950634439015165197 (pp105)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 79.68 hours.
Factorization parameters were as follows:
n: 2320788634421457184603635326050170992302208455463766287358252287963541566034094127570319744595715977809903452045123879767180629634786309760609464746031284175329631231853795016913914836478307352794919865887473
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 964
c0: -1
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: 31140384
Relations: 9770658 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.59 hours.
Total relation processing time: 0.48 hours.
Pruned matrix : 8262681 x 8262906
Matrix solve time: 61.02 hours.
time per square root: 0.60 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 79.68 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

86116558103106562787212914418466550218725646690841597706019246983767987894817132419267287023846622087935432764677683655268233898506643471895929106202545627820831172560662656859195642984023617296927<197>

3788630237898103755456554395679569369600386547<46>
22730262046074788026647310746472732000978534678546881495923499940399894521383728616048047597017041878863355822221433596918979487048860547010594093525541<152>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2475272487
Step 1 took 9704ms
Step 2 took 3607ms
********** Factor found in step 2: 3788630237898103755456554395679569369600386547
Found probable prime factor of 46 digits: 3788630237898103755456554395679569369600386547
Probable prime cofactor 22730262046074788026647310746472732000978534678546881495923499940399894521383728616048047597017041878863355822221433596918979487048860547010594093525541 has 152 digits

177672205329219415223144317836456483842344906496227676525686850878604609941684826620523231480643241426439519595370810292934374579672050409927201406800916291265061866685805140017<177>

421817289090711546027882454917680034761<39>

421206550618675845264968982295454525588349287666547814037482687488510288076929320172268154394838613723155982958395029564092211448176256297<138>

P39 = 421817289090711546027882454917680034761
C138 = 421206550618675845264968982295454525588349287666547814037482687488510288076929320172268154394838613723155982958395029564092211448176256297

421206550618675845264968982295454525588349287666547814037482687488510288076929320172268154394838613723155982958395029564092211448176256297<138>

158894976394332545995274613386201827300672467130409917575754049<63>
2650848756686680301284680643596120402453175185812201803479898877272385573353<76>

08/25/22 08:05:27 v1.34.5 @ 7700KL, nfs: commencing nfs on c138: 421206550618675845264968982295454525588349287666547814037482687488510288076929320172268154394838613723155982958395029564092211448176256297
08/25/22 08:05:27 v1.34.5 @ 7700KL, nfs: commencing poly selection with 4 threads
08/25/22 08:05:27 v1.34.5 @ 7700KL, nfs: setting deadline of 44047 seconds
08/25/22 20:12:28 v1.34.5 @ 7700KL, nfs: completed 18 ranges of size 250 in 43621.0267 seconds
08/25/22 20:12:28 v1.34.5 @ 7700KL, nfs: best poly = # norm 3.486289e-013 alpha -6.762987 e 3.102e-011 rroots 3
08/27/22 15:03:10 v1.34.5 @ 7700KL, nfs: commencing msieve sqrt
08/27/22 15:07:56 v1.34.5 @ 7700KL, prp76 = 2650848756686680301284680643596120402453175185812201803479898877272385573353
08/27/22 15:07:56 v1.34.5 @ 7700KL, prp63 = 158894976394332545995274613386201827300672467130409917575754049
08/27/22 15:07:56 v1.34.5 @ 7700KL, NFS elapsed time = 113112.4218 seconds.
08/27/22 15:07:56 v1.34.5 @ 7700KL, 
08/27/22 15:07:56 v1.34.5 @ 7700KL, 

Yafu 1.34

Windows 10 Professional v21H1. i7-7700 @ 3.6GHz. 

288923289223495959339040181390444023823549273674260060213614198986227621776157920629235632237645131142511759911907572179783167270765788906431063966720940908691933285423824020259841108050111200941<195>

24810218891780170220443267933357067768341<41>

11645334145730516861461659273915082006482685388490763588607055356063673600961251137249856972419880789743988191526672568028927114581381671584086966617708601<155>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=135465699
Step 1 took 9876ms
********** Factor found in step 1: 24810218891780170220443267933357067768341
Found probable prime factor of 41 digits: 24810218891780170220443267933357067768341
Composite cofactor 11645334145730516861461659273915082006482685388490763588607055356063673600961251137249856972419880789743988191526672568028927114581381671584086966617708601 has 155 digits

11645334145730516861461659273915082006482685388490763588607055356063673600961251137249856972419880789743988191526672568028927114581381671584086966617708601<155>

356027883817903222844754825029759271967<39>

32709050821667466922041502468647124339270818811566117660647337609939512485431422685060796866969460175874067518888103<116>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1404587395
Step 1 took 3156ms
********** Factor found in step 1: 356027883817903222844754825029759271967
Found prime factor of 39 digits: 356027883817903222844754825029759271967
Composite cofactor 32709050821667466922041502468647124339270818811566117660647337609939512485431422685060796866969460175874067518888103 has 116 digits

GMP-ECM

32709050821667466922041502468647124339270818811566117660647337609939512485431422685060796866969460175874067518888103<116>

54866102429725163546777464907502611561848829<44>
596161370557761228578559394164551358205824391853158458810564754395054707<72>

32709050821667466922041502468647124339270818811566117660647337609939512485431422685060796866969460175874067518888103=54866102429725163546777464907502611561848829*596161370557761228578559394164551358205824391853158458810564754395054707

cado polynomial
n: 32709050821667466922041502468647124339270818811566117660647337609939512485431422685060796866969460175874067518888103
skew: 22561.395
c0: 535870417634553053628072000
c1: 63837756572260530104248
c2: -9228895182305816526
c3: -162675674363169
c4: 6738144740
c5: 68040
Y0: -1951446895578750804911
Y1: 551675960399885281
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.611e-07
# f(x) = 68040*x^5+6738144740*x^4-162675674363169*x^3-9228895182305816526*x^2+63837756572260530104248*x+535870417634553053628072000
# g(x) = 551675960399885281*x-1951446895578750804911

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

cado log (extracts)
Info:Square Root: Factors: 54866102429725163546777464907502611561848829 596161370557761228578559394164551358205824391853158458810564754395054707
Info:Square Root: Total cpu/real time for sqrt: 398.7/116.388
Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.74/102.866
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7160153
Info:Lattice Sieving: Average J: 1888.14 for 155231 special-q, max bucket fill -bkmult 1.0,1s:1.264360
Info:Lattice Sieving: Total time: 17326.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.19/1.13167
Info:Generate Free Relations: Total cpu/real time for freerel: 63.71/16.7319
Info:Linear Algebra: Total cpu/real time for bwc: 2657.35/685.27
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1644.43, WCT time 420.92, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13952 iterations)
Info:Linear Algebra: Lingen CPU time 68.37, WCT time 17.41
Info:Linear Algebra: Mksol: CPU time 906.47,  WCT time 231.47, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7040 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 28.7/30.2832
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 29.6s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 315.44
Info:Polynomial Selection (root optimized): Rootsieve time: 314.37
Info:Filtering - Merging: Merged matrix has 445561 rows and total weight 69563041 (156.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 73.1/21.7318
Info:Filtering - Merging: Total cpu/real time for replay: 15.34/12.3382
Info:Quadratic Characters: Total cpu/real time for characters: 16.22/6.32639
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21671/33.260/41.241/46.690/1.084
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17216/32.840/36.501/41.670/0.829
Info:Polynomial Selection (size optimized): Total time: 1774.28
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 118.48/126.519
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 93.4s
Info:Square Root: Total cpu/real time for sqrt: 398.7/116.388
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 37363.3/10269.1
Info:root: Cleaning up computation data in /tmp/cado.vv4r1f4d
54866102429725163546777464907502611561848829 596161370557761228578559394164551358205824391853158458810564754395054707

cado-nfs-3.0.0

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

84090923004491388575561442902389721644221649172763958397178810525287866548537726902409967319016211844296405706728708279723396310985657537920670663925376897743483733816088086917385014968402809075531742101785157594738177<218>

18104853803063509948072791586454576193969246143138221387275797871259493277538217129288740714200552058062847926021355499151018954827244235200833379688816384724647076047309<170>

814901308788127531836498020492567<33>

22217234906626871479854425277926848219401306470756714608269683118836339802553691383005457730713658547877847070920181585045124774169444027<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3708007688
Step 1 took 7397ms
Step 2 took 2971ms
********** Factor found in step 2: 814901308788127531836498020492567
Found probable prime factor of 33 digits: 814901308788127531836498020492567
Composite cofactor 22217234906626871479854425277926848219401306470756714608269683118836339802553691383005457730713658547877847070920181585045124774169444027 has 137 digits

22217234906626871479854425277926848219401306470756714608269683118836339802553691383005457730713658547877847070920181585045124774169444027<137>

410215034174784431900487571046952431097459198789556003757888977903<66>
54159972345529763011306134409092982140308343702321632552181000975224309<71>

22217234906626871479854425277926848219401306470756714608269683118836339802553691383005457730713658547877847070920181585045124774169444027=410215034174784431900487571046952431097459198789556003757888977903*54159972345529763011306134409092982140308343702321632552181000975224309

cado polynomial
n: 22217234906626871479854425277926848219401306470756714608269683118836339802553691383005457730713658547877847070920181585045124774169444027
skew: 340521.06
c0: -814588944172282150079841006353760
c1: -80896755712093950036532393
c2: 34407906672774589320432
c3: 33945101530495777
c4: -119636967408
c5: 149040
Y0: -254439540115484356587567334
Y1: 55279171727682582919
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.040e-07
# f(x) = 149040*x^5-119636967408*x^4+33945101530495777*x^3+34407906672774589320432*x^2-80896755712093950036532393*x-814588944172282150079841006353760
# g(x) = 55279171727682582919*x-254439540115484356587567334

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

cado log (extracts)
Info:Square Root: Factors: 410215034174784431900487571046952431097459198789556003757888977903 54159972345529763011306134409092982140308343702321632552181000975224309
Info:Square Root: Total cpu/real time for sqrt: 543.06/163.951
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 197.06/160.684
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 148.3s
Info:Square Root: Total cpu/real time for sqrt: 543.06/163.951
Info:Filtering - Singleton removal: Total cpu/real time for purge: 80.57/49.2684
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17017447
Info:Lattice Sieving: Average J: 3802.21 for 742045 special-q, max bucket fill -bkmult 1.0,1s:1.182830
Info:Lattice Sieving: Total time: 243095s
Info:Generate Factor Base: Total cpu/real time for makefb: 14.63/3.89403
Info:Linear Algebra: Total cpu/real time for bwc: 34056.7/8749.73
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 21698.62, WCT time 5546.22, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46080 iterations)
Info:Linear Algebra: Lingen CPU time 288.4, WCT time 73.27
Info:Linear Algebra: Mksol: CPU time 11810.59,  WCT time 3034.86, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23040 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 251.22/63.7343
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 76.86/89.4141
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 89.3s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7007.97
Info:Polynomial Selection (root optimized): Rootsieve time: 7005.42
Info:Filtering - Merging: Merged matrix has 1471436 rows and total weight 251246653 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 397.43/110.925
Info:Filtering - Merging: Total cpu/real time for replay: 56/47.2054
Info:Quadratic Characters: Total cpu/real time for characters: 50.93/21.3185
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54088/39.490/49.012/53.950/0.965
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 43943/39.380/43.927/49.680/1.201
Info:Polynomial Selection (size optimized): Total time: 11104.4
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 521685/42477.6
Info:root: Cleaning up computation data in /tmp/cado.r313grot
410215034174784431900487571046952431097459198789556003757888977903 54159972345529763011306134409092982140308343702321632552181000975224309

cado-nfs-3.0.0

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

92844447790665400580359022460449295021547441549333497090096126957720485704250711887753151816780614352472737782005257362897711435008924267509293571963477737164807987260340782174605360036893398622561924453233359<209>

431731291551273922572161279322040582851953463578622199421271321251608003331818347937120425919270167599032460339253709391072371869243883723131787939120318209842070774205979688137534373589982419<192>

485067164911969575906203442815473016612445877753809049430477994024024373218862166052889611756452905678597811758427535105347590333078197996610385013528592827008101558892203<171>

424720345256789998321918460777376371671639196862797354087943302262392184360355217609982647437886567136176547992792553897720047479804614771683465103106827078588936670059904659067680394649933333599180072262739023154334992288799<225>

188736444017465474333144356331539981<36>

2250335633204400200944905247490887341571682238898204904887503982204996658817627739641462939335026263964189366637483669623774278712622589478463352360291839992814391155542805322357672573756379<190>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3366263495
Step 1 took 81712ms
Step 2 took 31876ms
********** Factor found in step 2: 188736444017465474333144356331539981
Found prime factor of 36 digits: 188736444017465474333144356331539981
Composite cofactor 2250335633204400200944905247490887341571682238898204904887503982204996658817627739641462939335026263964189366637483669623774278712622589478463352360291839992814391155542805322357672573756379 has 190 digits

1842111185822693877642489711812109861312923927428754091839580055560971545488433428221407433814277483406229918367674046375810049290559207733765909034520515550050819654273220381234678333441389998886741<199>

4921120465371187022318973197356634082164324284855066069036301269112883800710943153369787956957925156863685565937979425731945551266213372532424540609973723652473343256808573231660264608095817477<193>

1798460015745749887654362818032156014230052575002839647244443895470304686699911525922557800249967595118773937047045047637228864095490522134175531712726457852896200070112489206434710761974957<190>

36700022156991225145654291958335859009<38>
49004330516545739466294416564873141364375219767600595038215098942777978229304061068633592066146199012721703363206609915231625275021250562593782281329773<152>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2965276359
Step 1 took 40924ms
Step 2 took 14716ms
********** Factor found in step 2: 36700022156991225145654291958335859009
Found probable prime factor of 38 digits: 36700022156991225145654291958335859009
Probable prime cofactor 49004330516545739466294416564873141364375219767600595038215098942777978229304061068633592066146199012721703363206609915231625275021250562593782281329773 has 152 digits

276955693271473411924345886239157687199074848897270377027653867267698501385968818531072343703513837787586712166309586941777618670334887369255119370868993301813799905143295791918978521323879610739<195>

147973273353350361766710184879206491797776107623911933662137304618325429834838745751858593929407813954072532003116877227359097781625033449063617164803220531742333424703763461918366217775372867302601345102731865692732773<219>

956645941950641112746995716433250026429816728029999088086633128330051374941535563076556402209096399416536353204090031857773122027587261863384365155251806814668392018420889561953074765459683678996292268934299729599<213>

2122732215370851649702122479410591670595773491327874002551404663807021275939814373878323775105406511082096474146153081374396709738069074454723497314502539506472156634545049339263<178>

81603301618636033524232778606197960053579882944676459625100078878709043062688686116650561050361422659032886802600288966353226083146998005680727022105961355780564719319383002541493807776692396878840613352558650734091<215>

7611880546864689364697631640595567<34>
10720517895180079684374479981651337970641281590595674389672444720553567080965669135585492214087558646291609042393308874381464396133851959949917970418121023642535684572884495023003173<182>

GMP-ECM 6.4.4 [configured with GMP 5.1.3, --enable-asm-redc] [ECM]
Input number is 81603301618636033524232778606197960053579882944676459625100078878709043062688686116650561050361422659032886802600288966353226083146998005680727022105961355780564719319383002541493807776692396878840613352558650734091 (215 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=191293316
Step 1 took 56756ms
Step 2 took 17660ms
********** Factor found in step 2: 7611880546864689364697631640595567
Found probable prime factor of 34 digits: 7611880546864689364697631640595567
Probable prime cofactor 10720517895180079684374479981651337970641281590595674389672444720553567080965669135585492214087558646291609042393308874381464396133851959949917970418121023642535684572884495023003173 has 182 digits

953373182693258825115448472423977603860876008741843827777779160739192134585948208714243054044844229276462143988380158625851979742898082790367820227946949234459471948029275563989559342259505407678297467311<204>

196011065330992100995321163041764774655021914597850286520321168721728744463196376248226236707560690388970958955077249479246822360343253783776582887218991402936354047261349768805900974454692657<192>

1489992636801201800697442410022444435420762116875180068208864179352790083080488859386473397578764323967354010035075210041444210577217066615840437085682959031438203921140984086390253093227379528933<196>

1086381598449668544724538043935660634951203<43>
1371518662436394655956906114278642740525369707468524840917611200856474774168244169263971279068363938556550443046403111601108224455242786641406082225261911<154>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:169211238
Step 1 took 35421ms
Step 2 took 16518ms
********** Factor found in step 2: 1086381598449668544724538043935660634951203
Found prime factor of 43 digits: 1086381598449668544724538043935660634951203
Prime cofactor 1371518662436394655956906114278642740525369707468524840917611200856474774168244169263971279068363938556550443046403111601108224455242786641406082225261911 has 154 digits

25106707291337988182611634923246870473394778692966071483760666907486922370634932789590722209786081614732475541794592129182041733675549417598684920842023647836831752079133235310814121261752922381738240589531575989732892085997<224>

105399313181340544289027175160289302705063702001232467967297022011868642159035039580598210789377611524174973421423353642745199545944304083255817036548814501506692802023<168>

3207538981373039272635588002321419164299<40>
32859869761028641532968761065768468821009115429781053099298356343136065246732718473008648816242688145001880997822419580683549077<128>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1770331260
Step 1 took 7140ms
Step 2 took 3766ms
********** Factor found in step 2: 3207538981373039272635588002321419164299
Found prime factor of 40 digits: 3207538981373039272635588002321419164299
Prime cofactor 32859869761028641532968761065768468821009115429781053099298356343136065246732718473008648816242688145001880997822419580683549077 has 128 digits
 

GMP-ECM

38368322967445600559628428139876133944828859136451070210416219959561885138951303602055999995764445240914312758651728279667911144542635138383549895340963006324863215467406699051123<179>

143402733375306997190982987768291035090894373925068099372087157465962681314107332377973908969065728738386601620611474297860249281440038343263583774883877825860623998539462222959726833737692513592363736058981285152610552741<222>

3483254183247354045687720481137130730793231646881855172505995424796216983610277334241002888138038039014614852899357440776548882811260739280953717886040497527214729973727446922830382503946664296319421635272212339753144233100526209861728539595096994537<250>

36445734607184650915624628008800881968598578313579004859291283773941084317971127471624520222002535850430169421227244990444064612593418247953407407264301387159542769569336249727215398721294590238416400283<203>

3353567440970505073940694487018815333199967520312199222139808265240898833317510501534678502888745458955251156450606646428369732124721359109898069395855087742975465043708280351839429849253227<190>

654456125217306307049175511283471245349583765414294784972838359496306923942795780876403685887012106518772377765278982468927172178990495047261188065326929775581082075746097113197064585717972806707569944278935319334364897543447047465590509<237>

38264916326326880735874228698251403596179401642430001176485784485147261537916591581349431064025648451374459322000131831130529294974571085146382230888121199622829050944135444452454719653191360123<194>

2536451878498228710815054306694349247<37>

15086001296024036675535121052781875904497608005198180575219593707559524969377824992015433177302419970663479730648740729024721559929866313114591962569912752709<158>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4274510910
Step 1 took 13772ms
Step 2 took 4872ms
********** Factor found in step 2: 2536451878498228710815054306694349247
Found probable prime factor of 37 digits: 2536451878498228710815054306694349247
Composite cofactor 15086001296024036675535121052781875904497608005198180575219593707559524969377824992015433177302419970663479730648740729024721559929866313114591962569912752709 has 158 digits

1385808332111757138650881867788229347306321117853065692376953335562978449525439922219479996970384791789072290936119304131354503703926817030630492308987535203504066414509648844801811918301120986894682547<202>

74626067757036259360200579337528482767871385461622519213697466842568626014389847430528909057580393380112741636208849266026861963862900962438074819637646867308012356022509165626414789853848494497<194>

72893162230342114548052170129734343791<38>

1023773224726047279429648567007260613165653912068510768185209736234525691214429443125283339352894098626835659411383876886840472915326581154232010239815715567<157>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1484166945
Step 1 took 13912ms
Step 2 took 4780ms
********** Factor found in step 2: 72893162230342114548052170129734343791
Found probable prime factor of 38 digits: 72893162230342114548052170129734343791
Composite cofactor 1023773224726047279429648567007260613165653912068510768185209736234525691214429443125283339352894098626835659411383876886840472915326581154232010239815715567 has 157 digits

1023773224726047279429648567007260613165653912068510768185209736234525691214429443125283339352894098626835659411383876886840472915326581154232010239815715567<157>