90867712597532912214971613537855042370450619217028303705521841635797505828229224561037241420818368961<101>

196407408417395389682223742877047169203<39>
462649109469563932546725453202285415782529271758475232006176187<63>

N=90867712597532912214971613537855042370450619217028303705521841635797505828229224561037241420818368961
  ( 101 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=196407408417395389682223742877047169203 (pp39)
 r2=462649109469563932546725453202285415782529271758475232006176187 (pp63)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.88 hours.
Scaled time: 6.89 units (timescale=7.831).
Factorization parameters were as follows:
n: 90867712597532912214971613537855042370450619217028303705521841635797505828229224561037241420818368961
m: 100000000000000000000000000
deg: 4
c4: 3865
c0: -4
skew: 0.18
# Murphy_E = 1.447e-07
type: snfs
lss: 1
rlim: 430000
alim: 430000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 430000/430000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [215000, 675001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 71672 x 71919
Total sieving time: 0.87 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,107.000,4,0,0,0,0,0,0,0,0,430000,430000,25,25,44,44,2.2,2.2,20000
total time: 0.88 hours.

GNFS, Msieve

394665174686920692404327602552729889034057547593869252305560441705763408509397068890107<87>

64598518803292733065592401572727090142153<41>
6109508112542105424058967565735519940886976419<46>

prp41 = 64598518803292733065592401572727090142153
prp46 = 6109508112542105424058967565735519940886976419

Yafu

4777047404292337905105806851842039372054119171791322460154035455746041352690566257210729<88>

749260869819045041088782295352880921798321<42>
6375679815557495727971345367307840833304533049<46>

prp42 = 749260869819045041088782295352880921798321
prp46 = 6375679815557495727971345367307840833304533049

Yafu

203847000855847054876973459578699767091268764270345177308688404677267924193601703040528615928051600260061519<108>

236167788232593120784543714988127683590213<42>
863144810650830627582084551670941529988863376473410963043324933763<66>

N=203847000855847054876973459578699767091268764270345177308688404677267924193601703040528615928051600260061519
  ( 108 digits)
SNFS difficulty: 123 digits.
Divisors found:
p42 factor: 236167788232593120784543714988127683590213
p66 factor: 863144810650830627582084551670941529988863376473410963043324933763
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.38 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 203847000855847054876973459578699767091268764270345177308688404677267924193601703040528615928051600260061519
m: 1000000000000000000000000000000
deg: 4
c4: 3865
c0: -4
skew: 0.18
# Murphy_E = 2.602e-08
type: snfs
lss: 1
rlim: 800000
alim: 800000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [400000, 775001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 74735 x 74961
Total sieving time: 1.35 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,123.000,4,0,0,0,0,0,0,0,0,800000,800000,25,25,46,46,2.2,2.2,75000
total time: 1.38 hours.
 --------- CPU info (if available) ----------

191000019767143054814287691000019767143054814287691000019767143054814287691000019767143054814287691000019767143054814287691<123>

128326346358458291269246506394476976529518306824072933937<57>
1488392876343695530945825265334640093028641444991657609432129693243<67>

N=191000019767143054814287691000019767143054814287691000019767143054814287691000019767143054814287691000019767143054814287691
  ( 123 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=128326346358458291269246506394476976529518306824072933937 (pp57)
 r2=1488392876343695530945825265334640093028641444991657609432129693243 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.73 hours.
Scaled time: 13.63 units (timescale=7.862).
Factorization parameters were as follows:
n: 191000019767143054814287691000019767143054814287691000019767143054814287691000019767143054814287691000019767143054814287691
m: 10000000000000000000000000000000
deg: 4
c4: 3865
c0: -4
skew: 0.18
# Murphy_E = 1.673e-08
type: snfs
lss: 1
rlim: 940000
alim: 940000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 940000/940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [470000, 845001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 125645 x 125873
Total sieving time: 1.72 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,127.000,4,0,0,0,0,0,0,0,0,940000,940000,26,26,46,46,2.3,2.3,75000
total time: 1.73 hours.

GNFS, Msieve

3428205483000003547948753428205483000003547948753428205483000003547948753428205483000003547948753428205483000003547948753428205483<130>

46454106722664378071974304318285236762001497<44>
73797683883294325398829076920137621724680617751384502049673679279139178718329180434339<86>

Number: 85888_133
N = 3428205483000003547948753428205483000003547948753428205483000003547948753428205483000003547948753428205483000003547948753428205483 (130 digits)
SNFS difficulty: 136 digits.
Divisors found:
r1=46454106722664378071974304318285236762001497 (pp44)
r2=73797683883294325398829076920137621724680617751384502049673679279139178718329180434339 (pp86)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 2.94 hours.
Factorization parameters were as follows:
n: 3428205483000003547948753428205483000003547948753428205483000003547948753428205483000003547948753428205483000003547948753428205483
m: 1000000000000000000000000000000000
deg: 4
c4: 3865
c0: -4
skew: 0.18
# Murphy_E = 6.808e-09
type: snfs
lss: 1
rlim: 1270000
alim: 1270000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1270000/1270000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 3186106
Relations: 325546 relations
Pruned matrix : 194278 x 194504
Polynomial selection time: 0.00 hours.
Total sieving time: 2.88 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: snfs,136,4,0,0,0,0,0,0,0,0,1270000,1270000,26,26,47,47,2.3,2.3,100000
total time: 2.94 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, Msieve

1506704465784151109520152261682611271977144025975135007246038514914614558409265862449874483781917<97>

1727842701571697794219235366111659926491<40>
872014833534098514366010234375055903260104719396927069287<57>

prp40 = 1727842701571697794219235366111659926491
prp57 = 872014833534098514366010234375055903260104719396927069287

Yafu

94334048403776754013229955203968770411362044361795215272453408807964770401692602544697<86>

395143962868989930190003139825562657191<39>
238733366236581549367768150316577323815329351967<48>

prp48 = 238733366236581549367768150316577323815329351967
prp39 = 395143962868989930190003139825562657191

Yafu

436133281450281489230272789680978539528889076572422898634980491817250124333923128807608474974700963166821800943144630047<120>

212249802572013079400363173412828645903892462885637749983689<60>
2054811246772812444730840211378096639458149806354743757286823<61>

N=436133281450281489230272789680978539528889076572422898634980491817250124333923128807608474974700963166821800943144630047
  ( 120 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=212249802572013079400363173412828645903892462885637749983689 (pp60)
 r2=2054811246772812444730840211378096639458149806354743757286823 (pp61)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.06 hours.
Scaled time: 63.76 units (timescale=7.911).
Factorization parameters were as follows:
n: 436133281450281489230272789680978539528889076572422898634980491817250124333923128807608474974700963166821800943144630047
m: 500000000000000000000000000000000000
deg: 4
c4: 773
c0: -5
skew: 0.28
# Murphy_E = 2.619e-09
type: snfs
lss: 1
rlim: 1880000
alim: 1880000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1880000/1880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [940000, 1740001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 225715 x 225940
Total sieving time: 8.02 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,145.000,4,0,0,0,0,0,0,0,0,1880000,1880000,26,26,49,49,2.3,2.3,100000
total time: 8.06 hours.

GNFS, Msieve

36416735818679677289981005663548938470207287534052617222143441095444108623085252363964369124076457128439354163015252149<119>

608062930564264840964401313248941683426496757731064567<54>
59889748228667710479133771162465994721644581869166745434801402547<65>

Number: 85888_144
N = 36416735818679677289981005663548938470207287534052617222143441095444108623085252363964369124076457128439354163015252149 (119 digits)
SNFS difficulty: 147 digits.
Divisors found:
r1=608062930564264840964401313248941683426496757731064567 (pp54)
r2=59889748228667710479133771162465994721644581869166745434801402547 (pp65)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 3.45 hours.
Factorization parameters were as follows:
n: 36416735818679677289981005663548938470207287534052617222143441095444108623085252363964369124076457128439354163015252149
m: 50000000000000000000000000000
deg: 5
c5: 1546
c0: -5
skew: 0.32
# Murphy_E = 2.126e-09
type: snfs
lss: 1
rlim: 1950000
alim: 1950000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1950000/1950000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 4235322
Relations: 450524 relations
Pruned matrix : 273720 x 273946
Polynomial selection time: 0.00 hours.
Total sieving time: 3.39 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: snfs,147,5,0,0,0,0,0,0,0,0,1950000,1950000,26,26,49,49,2.3,2.3,100000
total time: 3.45 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, Msieve

26070331768987759177215406305525079030077537701766136499358605511059600742777076757770618636589<95>

18143424244668165875234211441649140027042037<44>
1436902506242672741004861601564860508516296564907097<52>

prp52 = 1436902506242672741004861601564860508516296564907097
prp44 = 18143424244668165875234211441649140027042037

Yafu

707026539655767850179775976659772314595230481721258785236471298876110832079840218865591682076314671727643492821625214939086409274337235901047306541<147>

4047224315788441729406731103248254475468731237443<49>
174694181614203824408131315836398557485372368536942679086635654950070413249128979276017019417243087<99>

Number: n
N=707026539655767850179775976659772314595230481721258785236471298876110832079840218865591682076314671727643492821625214939086409274337235901047306541  ( 147 digits)
SNFS difficulty: 156 digits.
Divisors found:

Fri Mar 18 21:16:07 2022  p49 factor: 4047224315788441729406731103248254475468731237443
Fri Mar 18 21:16:07 2022  p99 factor: 174694181614203824408131315836398557485372368536942679086635654950070413249128979276017019417243087
Fri Mar 18 21:16:07 2022  elapsed time 00:05:21 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.301).
Factorization parameters were as follows:
#
# N = 773x10^154-8 = 858(154)
#
n: 707026539655767850179775976659772314595230481721258785236471298876110832079840218865591682076314671727643492821625214939086409274337235901047306541
m: 5000000000000000000000000000000
deg: 5
c5: 1546
c0: -5
skew: 0.32
# Murphy_E = 8.865e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1695903 hash collisions in 15599142 relations (14884031 unique)
Msieve: matrix is 316426 x 316651 (105.8 MB)

Sieving start time : 2022/03/18 20:25:44
Sieving end time  : 2022/03/18 21:08:54

Total sieving time: 0hrs 43min 10secs.
Total relation processing time: 0hrs 1min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 16sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
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)

6531903177177501648746963819769298423110617344891032217655513329698333886432082571009931832213348215552958216282157288118272920812573600875370223<145>

422375680857581467214849714744289655251328413152183521540721115226017949<72>
15464676289873701691523470738040775533623082813836101348214692858496594427<74>

Number: n
N=6531903177177501648746963819769298423110617344891032217655513329698333886432082571009931832213348215552958216282157288118272920812573600875370223  ( 145 digits)
SNFS difficulty: 157 digits.
Divisors found:

Sat Mar 19 00:08:54 2022  p72 factor: 422375680857581467214849714744289655251328413152183521540721115226017949
Sat Mar 19 00:08:54 2022  p74 factor: 15464676289873701691523470738040775533623082813836101348214692858496594427
Sat Mar 19 00:08:54 2022  elapsed time 00:05:12 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 773x10^155-8 = 858(155)
#
n: 6531903177177501648746963819769298423110617344891032217655513329698333886432082571009931832213348215552958216282157288118272920812573600875370223
m: 10000000000000000000000000000000
deg: 5
c5: 773
c0: -8
skew: 0.40
# Murphy_E = 9.129e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1361072 hash collisions in 15771209 relations (15098159 unique)
Msieve: matrix is 302406 x 302635 (101.0 MB)

Sieving start time : 2022/03/18 23:07:02
Sieving end time  : 2022/03/19 00:02:57

Total sieving time: 0hrs 55min 55secs.

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

Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
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)

5430975576850648183884487089123750879402997469400133683471802162388132277873197503999101940227184952707763858669290444925741675359627656173354501<145>

178310684374218843302099762726578534836505595125093192481<57>
30457936920104654302568904959148331663417627026793267636841782831717693198728703113720421<89>

Number: n
N=5430975576850648183884487089123750879402997469400133683471802162388132277873197503999101940227184952707763858669290444925741675359627656173354501  ( 145 digits)
SNFS difficulty: 159 digits.
Divisors found:

Fri Mar 18 23:04:20 2022  p57 factor: 178310684374218843302099762726578534836505595125093192481
Fri Mar 18 23:04:20 2022  p89 factor: 30457936920104654302568904959148331663417627026793267636841782831717693198728703113720421
Fri Mar 18 23:04:20 2022  elapsed time 00:06:05 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.293).
Factorization parameters were as follows:
#
# N = 773x10^157-8 = 858(157)
#
n: 5430975576850648183884487089123750879402997469400133683471802162388132277873197503999101940227184952707763858669290444925741675359627656173354501
m: 10000000000000000000000000000000
deg: 5
c5: 19325
c0: -2
skew: 0.16
# Murphy_E = 6.394e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1786099 hash collisions in 15708110 relations (14885792 unique)
Msieve: matrix is 373089 x 373316 (125.2 MB)

Sieving start time : 2022/03/18 22:25:05
Sieving end time  : 2022/03/18 22:57:44

Total sieving time: 0hrs 32min 39secs.
Total relation processing time: 0hrs 2min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 20sec.

Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
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)

113721259969510073240312339893619787020149738568548817411866086752497207588172782163999844786448092415896779<108>

1343438666196042045265644285357641138899124179<46>
84649387300659421561867872460556572913575927547969987426319401<62>

113721259969510073240312339893619787020149738568548817411866086752497207588172782163999844786448092415896779=1343438666196042045265644285357641138899124179*84649387300659421561867872460556572913575927547969987426319401

cado polynomial
n: 113721259969510073240312339893619787020149738568548817411866086752497207588172782163999844786448092415896779
skew: 6952.452
c0: 435956202331191149854680
c1: -3246702504821547326
c2: -47875348342418427
c3: 2056727959136
c4: 407896614
c5: 22140
Y0: -533350117164716171053
Y1: 2024035168382183
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 2.135e-06
# f(x) = 22140*x^5+407896614*x^4+2056727959136*x^3-47875348342418427*x^2-3246702504821547326*x+435956202331191149854680
# g(x) = 2024035168382183*x-533350117164716171053

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
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: 84649387300659421561867872460556572913575927547969987426319401 1343438666196042045265644285357641138899124179
Info:Square Root: Total cpu/real time for sqrt: 206.99/148.145
Info:Filtering - Singleton removal: Total cpu/real time for purge: 24.21/24.9478
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4747477
Info:Lattice Sieving: Average J: 1899.9 for 55415 special-q, max bucket fill -bkmult 1.0,1s:1.278170
Info:Lattice Sieving: Total time: 9889.15s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.34/1.05626
Info:Linear Algebra: Total cpu/real time for bwc: 1132.31/747.47
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 571.56, WCT time 281.38, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8704 iterations)
Info:Linear Algebra: Lingen CPU time 234.11, WCT time 169.74
Info:Linear Algebra: Mksol: CPU time 305.02,  WCT time 287.52, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4352 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.57/45.5398
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.05/18.5945
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 239.29
Info:Polynomial Selection (root optimized): Rootsieve time: 238.34
Info:Filtering - Merging: Merged matrix has 275102 rows and total weight 42908083 (156.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 42.6/12.8361
Info:Filtering - Merging: Total cpu/real time for replay: 9.23/7.54508
Info:Quadratic Characters: Total cpu/real time for characters: 10.65/8.8836
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11470/31.200/37.902/43.760/1.041
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8793/30.340/33.606/38.420/0.854
Info:Polynomial Selection (size optimized): Total time: 734.39
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.08/44.9335
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 34.5s
Info:Square Root: Total cpu/real time for sqrt: 206.99/148.145
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 13051.3/6204.56
Info:root: Cleaning up computation data in /tmp/cado.cy_xyorm
84649387300659421561867872460556572913575927547969987426319401 1343438666196042045265644285357641138899124179

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)

811937618490860274595688880338511390772666478891190914263180192454070773843052975535388707722855951690492755802076034021<120>

5491239988809363633611017337214138677<37>
147860523332710576146011930128304965728482601037651830030137697190970587831536997873<84>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:590694432
Step 1 took 4828ms
Step 2 took 2875ms
********** Factor found in step 2: 5491239988809363633611017337214138677
Found prime factor of 37 digits: 5491239988809363633611017337214138677
Prime cofactor 147860523332710576146011930128304965728482601037651830030137697190970587831536997873 has 84 digits

GMP-ECM

102257061777668196480023587584652304685859953424722099766707798609786433176524666070376665882604839507691246034383053824799641372969056552322994282317<150>

11100622780976064547910656460463043217557<41>
446926323550553172246004265940705049081108399<45>
20611520467378863297754321676104046458261724685819601894918300919<65>

Number: n
N=102257061777668196480023587584652304685859953424722099766707798609786433176524666070376665882604839507691246034383053824799641372969056552322994282317  ( 150 digits)
SNFS difficulty: 163 digits.
Divisors found:

Fri Mar 18 16:24:59 2022  found factor: 11100622780976064547910656460463043217557
Fri Mar 18 16:25:54 2022  p41 factor: 11100622780976064547910656460463043217557
Fri Mar 18 16:25:54 2022  p45 factor: 446926323550553172246004265940705049081108399
Fri Mar 18 16:25:54 2022  p65 factor: 20611520467378863297754321676104046458261724685819601894918300919
Fri Mar 18 16:25:54 2022  elapsed time 00:08:12 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 773x10^161-8 = 858(161)
#
n: 102257061777668196480023587584652304685859953424722099766707798609786433176524666070376665882604839507691246034383053824799641372969056552322994282317
m: 100000000000000000000000000000000
deg: 5
c5: 3865
c0: -4
skew: 0.25
# Murphy_E = 4.369e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1574405 hash collisions in 14650491 relations (13981375 unique)
Msieve: matrix is 453701 x 453929 (154.6 MB)

Sieving start time : 2022/03/18 15:53:36
Sieving end time  : 2022/03/18 16:17:23

Total sieving time: 0hrs 23min 47secs.

Total relation processing time: 0hrs 3min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 23sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
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)

24050034489238127422840999783259443457437025421362592444476028026704824101060932895285954820073552454688287528185492988693<122>

186221420989574554072267215932513627881336838964938473777<57>
129147518912899649165324982364002997917877369035749203859101411109<66>

N=24050034489238127422840999783259443457437025421362592444476028026704824101060932895285954820073552454688287528185492988693
  ( 122 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=186221420989574554072267215932513627881336838964938473777 (pp57)
 r2=129147518912899649165324982364002997917877369035749203859101411109 (pp66)
Version: Msieve v. 1.52 (SVN 927)
Total time: 20.38 hours.
Scaled time: 160.44 units (timescale=7.874).
Factorization parameters were as follows:
n: 24050034489238127422840999783259443457437025421362592444476028026704824101060932895285954820073552454688287528185492988693
m: 100000000000000000000000000000000
deg: 5
c5: 19325
c0: -2
skew: 0.16
# Murphy_E = 4.089e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 652747 x 652974
Total sieving time: 20.22 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 20.38 hours.

GNFS, Msieve

2986822376569196457099684241449568829274088397253321887895177352364422006763816626093393384887516791709083970707261<115>

43462215829541292418788004449633208265860583697373117<53>
68722275649348085388176139904224999785847728340475030909263233<62>

2986822376569196457099684241449568829274088397253321887895177352364422006763816626093393384887516791709083970707261=43462215829541292418788004449633208265860583697373117*68722275649348085388176139904224999785847728340475030909263233

cado polynomial
n: 2986822376569196457099684241449568829274088397253321887895177352364422006763816626093393384887516791709083970707261
skew: 9310.942
c0: 10074614888180575847105796
c1: -5354573328205223933152
c2: -401456784508309467
c3: 161947842007237
c4: 3086399502
c5: 40680
Y0: -12102115608542865646171
Y1: 82327118069762473
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.107e-06
# f(x) = 40680*x^5+3086399502*x^4+161947842007237*x^3-401456784508309467*x^2-5354573328205223933152*x+10074614888180575847105796
# g(x) = 82327118069762473*x-12102115608542865646171

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: 43462215829541292418788004449633208265860583697373117 68722275649348085388176139904224999785847728340475030909263233
Info:Square Root: Total cpu/real time for sqrt: 142.23/42.4942
Info:Filtering - Singleton removal: Total cpu/real time for purge: 87.98/103.025
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7004758
Info:Lattice Sieving: Average J: 1894.11 for 135411 special-q, max bucket fill -bkmult 1.0,1s:1.252260
Info:Lattice Sieving: Total time: 17399.7s
Info:Generate Free Relations: Total cpu/real time for freerel: 64.07/43.8416
Info:Generate Factor Base: Total cpu/real time for makefb: 4.27/4.00867
Info:Linear Algebra: Total cpu/real time for bwc: 2523.41/650.15
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1561.38, WCT time 399.29, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13696 iterations)
Info:Linear Algebra: Lingen CPU time 67.42, WCT time 17.18
Info:Linear Algebra: Mksol: CPU time 857.79,  WCT time 219.03, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.9/30.7122
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 29.999999999999996s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 324.92
Info:Polynomial Selection (root optimized): Rootsieve time: 323.8
Info:Filtering - Merging: Merged matrix has 434649 rows and total weight 67902077 (156.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 70.75/20.9627
Info:Filtering - Merging: Total cpu/real time for replay: 14.67/11.9622
Info:Quadratic Characters: Total cpu/real time for characters: 15.87/6.18412
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): 21921/34.240/40.831/46.130/1.083
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17214/32.420/36.128/41.280/0.815
Info:Polynomial Selection (size optimized): Total time: 1810.45
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 116.45/129.423
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 93.30000000000001s
Info:Square Root: Total cpu/real time for sqrt: 142.23/42.4942
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 33749.1/10756.3
Info:root: Cleaning up computation data in /tmp/cado.shn763o0
43462215829541292418788004449633208265860583697373117 68722275649348085388176139904224999785847728340475030909263233

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)

368930017944194802817145722495420770935798491297030985347657879653198482804443335023676176014755587925637601914655195395514817220524894049990177412475931220401<159>

24660052749060187889506892389928916283650889<44>
14960633770674111295868068145903346897705267034840002302739457913548586281379446454658102180672016598184849152461609<116>

Number: n
N=368930017944194802817145722495420770935798491297030985347657879653198482804443335023676176014755587925637601914655195395514817220524894049990177412475931220401  ( 159 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sat Mar 19 09:05:39 2022  p44 factor: 24660052749060187889506892389928916283650889
Sat Mar 19 09:05:39 2022  p116 factor: 14960633770674111295868068145903346897705267034840002302739457913548586281379446454658102180672016598184849152461609
Sat Mar 19 09:05:39 2022  elapsed time 00:11:33 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 773x10^166-8 = 858(166)
#
n: 368930017944194802817145722495420770935798491297030985347657879653198482804443335023676176014755587925637601914655195395514817220524894049990177412475931220401
m: 1000000000000000000000000000000000
deg: 5
c5: 3865
c0: -4
skew: 0.25
# Murphy_E = 2.782e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1951135 hash collisions in 15986513 relations (14983971 unique)
Msieve: matrix is 559229 x 559454 (190.8 MB)

Sieving start time : 2022/03/19 07:50:04
Sieving end time  : 2022/03/19 08:51:54

Total sieving time: 1hrs 1min 50secs.

Total relation processing time: 0hrs 4min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 59sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
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)

85577665571696100722066899124114323001053821444719049052538540243894166122185144049391628389573296682937747660421331396466488294659891124854354521146469<152>

123247824280666463409141063796889033269329198010925121823244567<63>
694354371536929649241678249580959191456239358020407901786603315257329675532750150012353507<90>

Number: 85888_167
N=85577665571696100722066899124114323001053821444719049052538540243894166122185144049391628389573296682937747660421331396466488294659891124854354521146469 (152 digits)
SNFS difficulty: 169 digits.
Divisors found:

Sat Apr 02 03:02:44 2022  p63 factor: 123247824280666463409141063796889033269329198010925121823244567
Sat Apr 02 03:02:44 2022  p90 factor: 694354371536929649241678249580959191456239358020407901786603315257329675532750150012353507

Version: Msieve v. 1.53 (SVN 1005)
Total time: 10.77 hours.
Scaled time: 91.04 units (timescale=8.453).
Factorization parameters were as follows:
n: 85577665571696100722066899124114323001053821444719049052538540243894166122185144049391628389573296682937747660421331396466488294659891124854354521146469
m: 1000000000000000000000000000000000
deg: 5
c5: 19325
c0: -2
skew: 0.16
# Murphy_E = 2.602e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 4500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 860989 x 861214
Total sieving time: 10.64 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 10.77 hours.

Msieve with factMsieve.pl

Ryzen 9 5900X; 12C/24T; 3.7-4.8GHz; 12 threads used; Windows 10; Script not outputting all information, total sieving time actually ~50 minutes

58584218967506958740264950603639971728747141817374053540866125840825232591815269788071853673576423458346713449626102403593362311214542796511<140>

14433223215488119181784182891375027136612941309313913<53>
4058983782959923612409210931417190567633543835232670314109062445946750663944088128020247<88>

N=58584218967506958740264950603639971728747141817374053540866125840825232591815269788071853673576423458346713449626102403593362311214542796511
  ( 140 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=14433223215488119181784182891375027136612941309313913 (pp53)
 r2=4058983782959923612409210931417190567633543835232670314109062445946750663944088128020247 (pp88)
Version: Msieve v. 1.52 (SVN 927)
Total time: 30.10 hours.
Scaled time: 237.56 units (timescale=7.893).
Factorization parameters were as follows:
n: 58584218967506958740264950603639971728747141817374053540866125840825232591815269788071853673576423458346713449626102403593362311214542796511
m: 1000000000000000000000000000000000
deg: 5
c5: 96625
c0: -1
skew: 0.10
# Murphy_E = 2.489e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2400000, 4600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 891038 x 891262
Total sieving time: 29.88 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 30.10 hours.

GNFS, Msieve

474704478346081942762406195815830678304430770007755921966002168828346811501520847522268614298693343068644011631868679030452273862700185887641367976222181642051550671<165>

810135354797187033796339007623081653127243559392925629<54>
585956995377546038664997136049960207753980119033808202756328841595724469741783055977257771538674545045895384699<111>

Number: n
N=474704478346081942762406195815830678304430770007755921966002168828346811501520847522268614298693343068644011631868679030452273862700185887641367976222181642051550671  ( 165 digits)
SNFS difficulty: 172 digits.
Divisors found:

Mon Mar 21 02:33:31 2022  p54 factor: 810135354797187033796339007623081653127243559392925629
Mon Mar 21 02:33:31 2022  p111 factor: 585956995377546038664997136049960207753980119033808202756328841595724469741783055977257771538674545045895384699
Mon Mar 21 02:33:31 2022  elapsed time 00:09:58 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.311).
Factorization parameters were as follows:
#
# N = 773x10^170-8 = 858(170)
#
n: 474704478346081942762406195815830678304430770007755921966002168828346811501520847522268614298693343068644011631868679030452273862700185887641367976222181642051550671
m: 10000000000000000000000000000000000
deg: 5
c5: 773
c0: -8
skew: 0.40
# Murphy_E = 2.36e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1832694 hash collisions in 15543922 relations (14643653 unique)
Msieve: matrix is 603106 x 603331 (207.5 MB)

Sieving start time : 2022/03/21 01:21:30
Sieving end time  : 2022/03/21 02:23:00

Total sieving time: 1hrs 1min 30secs.
Total relation processing time: 0hrs 5min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 38sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
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)

42435221783047870004391743522178304787000439174352217830478700043917435221783047870004391743522178304787000439174352217830478700043917435221783047870004391743522178304787<170>

2918747156958891422814608544012165577881280402661237935721<58>
14538848177333073927128223692978212652373622692721565372120509439147603995316911376705438477149434253124651537947<113>

Number: n
N=42435221783047870004391743522178304787000439174352217830478700043917435221783047870004391743522178304787000439174352217830478700043917435221783047870004391743522178304787  ( 170 digits)
SNFS difficulty: 173 digits.
Divisors found:

Mon Mar 21 19:09:54 2022  p58 factor: 2918747156958891422814608544012165577881280402661237935721
Mon Mar 21 19:09:54 2022  p113 factor: 14538848177333073927128223692978212652373622692721565372120509439147603995316911376705438477149434253124651537947
Mon Mar 21 19:09:54 2022  elapsed time 00:12:32 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.305).
Factorization parameters were as follows:
#
# N = 773x10^171-8 = 858(171)
#
n: 42435221783047870004391743522178304787000439174352217830478700043917435221783047870004391743522178304787000439174352217830478700043917435221783047870004391743522178304787
m: 10000000000000000000000000000000000
deg: 5
c5: 3865
c0: -4
skew: 0.25
# Murphy_E = 1.763e-10
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2058005 hash collisions in 15748079 relations (14578175 unique)
Msieve: matrix is 688830 x 689056 (236.9 MB)

Sieving start time : 2022/03/21 17:48:06
Sieving end time  : 2022/03/21 18:56:52

Total sieving time: 1hrs 8min 46secs.

Total relation processing time: 0hrs 6min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 39sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
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)

249677002583979328165374677002583979328165374677002583979328165374677002583979328165374677002583979328165374677002583979328165374677002583979328165374677002583979328165374677<174>

237690357683590617597626260928530403<36>
1050429664110923378069230869208088815351524141208351767708131712494470796400032865466793226140497553883962854301521306350440580155298320359<139>

Number: n
N=249677002583979328165374677002583979328165374677002583979328165374677002583979328165374677002583979328165374677002583979328165374677002583979328165374677002583979328165374677  ( 174 digits)
SNFS difficulty: 176 digits.
Divisors found:

Mon Mar 21 17:45:34 2022  p36 factor: 237690357683590617597626260928530403
Mon Mar 21 17:45:34 2022  p139 factor: 1050429664110923378069230869208088815351524141208351767708131712494470796400032865466793226140497553883962854301521306350440580155298320359
Mon Mar 21 17:45:34 2022  elapsed time 00:18:33 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 773x10^174-8 = 858(174)
#
n: 249677002583979328165374677002583979328165374677002583979328165374677002583979328165374677002583979328165374677002583979328165374677002583979328165374677002583979328165374677
m: 50000000000000000000000000000000000
deg: 5
c5: 1546
c0: -5
skew: 0.32
# Murphy_E = 1.453e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4420850 hash collisions in 35671924 relations (32529952 unique)
Msieve: matrix is 751150 x 751378 (253.3 MB)

Sieving start time : 2022/03/21 15:10:52
Sieving end time  : 2022/03/21 17:25:49

Total sieving time: 2hrs 14min 57secs.
Total relation processing time: 0hrs 8min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 28sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
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)

10368555853688477981780646359579797669255026535536098120902136593951525531818786328534225275527408251151376151050553998973341467278153<134>

36563786340169088118660084223237669621541527984409<50>
283574456901843084951224955016515497064574291285270861868154362046728564918039824817<84>

N=10368555853688477981780646359579797669255026535536098120902136593951525531818786328534225275527408251151376151050553998973341467278153
  ( 134 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=36563786340169088118660084223237669621541527984409 (pp50)
 r2=283574456901843084951224955016515497064574291285270861868154362046728564918039824817 (pp84)
Version: Msieve v. 1.52 (SVN 927)
Total time: 44.55 hours.
Scaled time: 351.89 units (timescale=7.899).
Factorization parameters were as follows:
n: 10368555853688477981780646359579797669255026535536098120902136593951525531818786328534225275527408251151376151050553998973341467278153
m: 100000000000000000000000000000000000
deg: 5
c5: 773
c0: -8
skew: 0.40
# Murphy_E = 1.489e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3250000, 6150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1220390 x 1220618
Total sieving time: 44.20 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 44.55 hours.

GNFS, Msieve

16756061228772042999564732588002920280166546144415137594792051427451674045403073230707335556491987437939711128105615643268008538871460851077850437955318326145351569477176207<173>

96644508922158759923835547225089897776917727373105132996147793707897954969615966700997<86>
173378305872173506835854105741789823299122616135470129599437269751869160948882268484931<87>

Number: n
N=16756061228772042999564732588002920280166546144415137594792051427451674045403073230707335556491987437939711128105615643268008538871460851077850437955318326145351569477176207  ( 173 digits)
SNFS difficulty: 178 digits.
Divisors found:

Wed Mar 23 07:53:38 2022  p86 factor: 96644508922158759923835547225089897776917727373105132996147793707897954969615966700997
Wed Mar 23 07:53:38 2022  p87 factor: 173378305872173506835854105741789823299122616135470129599437269751869160948882268484931
Wed Mar 23 07:53:38 2022  elapsed time 00:21:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 773x10^176-8 = 858(176)
#
n: 16756061228772042999564732588002920280166546144415137594792051427451674045403073230707335556491987437939711128105615643268008538871460851077850437955318326145351569477176207
m: 100000000000000000000000000000000000
deg: 5
c5: 3865
c0: -4
skew: 0.25
# Murphy_E = 1.112e-10
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4292288 hash collisions in 30527770 relations (27810556 unique)
Msieve: matrix is 910301 x 910527 (309.6 MB)

Sieving start time : 2022/03/23 05:32:29
Sieving end time  : 2022/03/23 07:31:41

Total sieving time: 1hrs 59min 12secs.

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

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] 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)

16347942969590872421646947082359047161739144886033875748226669157854123209549488092741696551048117<98>

85022779848101601968133710004578635089371760031<47>
192277210869810099491059326928144762330971753700907<51>

prp47 = 85022779848101601968133710004578635089371760031
prp51 = 192277210869810099491059326928144762330971753700907

Yafu

1912713198256094127244666640258997812796743956149598948675839638038043270184783957622004458014498795878452873306735663194773558577572969188147149005927<151>

1554794997448301088100685963222229151<37>

1230202825063883880110008915149445031359813950440027049753799251736874933179890825892530099934428866168712072216377<115>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3338579450
Step 1 took 3484ms
Step 2 took 2031ms
********** Factor found in step 2: 1554794997448301088100685963222229151
Found prime factor of 37 digits: 1554794997448301088100685963222229151
Composite cofactor 1230202825063883880110008915149445031359813950440027049753799251736874933179890825892530099934428866168712072216377 has 115 digits

GMP-ECM

1230202825063883880110008915149445031359813950440027049753799251736874933179890825892530099934428866168712072216377<115>

11565103281654850380675506118129901508432140139<47>
106371970496389218950481824894995030992629914959718760446072333713643<69>

prp69 = 106371970496389218950481824894995030992629914959718760446072333713643
prp47 = 11565103281654850380675506118129901508432140139

Yafu

49047107011898503214765565135148055059786897024674620511987401146519676865809070625718704335095859447423325247<110>

86376765059734957973323307834194261<35>
567827551517810933168822119993397534566834034062381390673188764086114748227<75>

Thu Mar 17 15:34:26 2022  Msieve v. 1.53 (SVN unknown)
Thu Mar 17 15:34:26 2022  random seeds: 328d5b98 8c92d1ca
Thu Mar 17 15:34:26 2022  factoring 49047107011898503214765565135148055059786897024674620511987401146519676865809070625718704335095859447423325247 (110 digits)
Thu Mar 17 15:34:26 2022  searching for 15-digit factors
Thu Mar 17 15:34:27 2022  commencing number field sieve (110-digit input)
Thu Mar 17 15:34:27 2022  R0: -1639565340325804598717
Thu Mar 17 15:34:27 2022  R1: 342438901673
Thu Mar 17 15:34:27 2022  A0: -241204538045298090802102680
Thu Mar 17 15:34:27 2022  A1: 22787709313373613149126
Thu Mar 17 15:34:27 2022  A2: 3295117458520497795
Thu Mar 17 15:34:27 2022  A3: -30880222550448
Thu Mar 17 15:34:27 2022  A4: -1396113238
Thu Mar 17 15:34:27 2022  A5: 4140
Thu Mar 17 15:34:27 2022  skew 46716.60, size 1.071e-10, alpha -5.281, combined = 7.787e-10 rroots = 5
Thu Mar 17 15:34:27 2022  
Thu Mar 17 15:34:27 2022  commencing square root phase
Thu Mar 17 15:34:27 2022  reading relations for dependency 1
Thu Mar 17 15:34:27 2022  read 173718 cycles
Thu Mar 17 15:34:27 2022  cycles contain 586442 unique relations
Thu Mar 17 15:34:35 2022  read 586442 relations
Thu Mar 17 15:34:38 2022  multiplying 586442 relations
Thu Mar 17 15:35:01 2022  multiply complete, coefficients have about 25.06 million bits
Thu Mar 17 15:35:01 2022  initial square root is modulo 15731519
Thu Mar 17 15:35:34 2022  sqrtTime: 67
Thu Mar 17 15:35:34 2022  p35 factor: 86376765059734957973323307834194261
Thu Mar 17 15:35:34 2022  p75 factor: 567827551517810933168822119993397534566834034062381390673188764086114748227
Thu Mar 17 15:35:34 2022  elapsed time 00:01:08
Thu Mar 17 15:35:34 2022 -> Computing 1.6475e+09 scale for this machine...
Thu Mar 17 15:35:34 2022 -> procrels -speedtest> PIPE
Thu Mar 17 15:35:37 2022 -> Factorization summary written to g110-c45.txt

20452623626919884361642674942728893055403692195151114104714232351388786238320035904173957620228969722532804948791704188354840325157808892442901548618954247757014891648667<170>

24828049930421704614979676738800900955927930703873519054368119633<65>
823770843229188575881328845369758278822901988657433682731662503059762165188790113482621271450403863085099<105>

Number: n
N=20452623626919884361642674942728893055403692195151114104714232351388786238320035904173957620228969722532804948791704188354840325157808892442901548618954247757014891648667  ( 170 digits)
SNFS difficulty: 184 digits.
Divisors found:

Sat Mar 26 08:52:36 2022  p65 factor: 24828049930421704614979676738800900955927930703873519054368119633
Sat Mar 26 08:52:36 2022  p105 factor: 823770843229188575881328845369758278822901988657433682731662503059762165188790113482621271450403863085099
Sat Mar 26 08:52:36 2022  elapsed time 00:26:10 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 773x10^182-8 = 858(182)
#
n: 20452623626919884361642674942728893055403692195151114104714232351388786238320035904173957620228969722532804948791704188354840325157808892442901548618954247757014891648667
m: 1000000000000000000000000000000000000
deg: 5
c5: 19325
c0: -2
skew: 0.16
# Murphy_E = 6.521e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 9750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3303171 hash collisions in 30545283 relations (29123471 unique)
Msieve: matrix is 945071 x 945297 (325.6 MB)

Sieving start time : 2022/03/26 05:31:47
Sieving end time  : 2022/03/26 08:25:23

Total sieving time: 2hrs 53min 36secs.

Total relation processing time: 0hrs 14min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 0sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
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)

96821747216446624318859325243194312771763579516690703067064626398348821378518879464401794482393101951012403367728854252204069856764463968860671208341<149>

17666117256279101454096298147413636582418711800810445259435764939<65>
5480646698528681375345213801004546453426946999584746520613170146638971992550560095519<85>

Number: n
N=96821747216446624318859325243194312771763579516690703067064626398348821378518879464401794482393101951012403367728854252204069856764463968860671208341  ( 149 digits)
SNFS difficulty: 184 digits.
Divisors found:

Wed Apr 20 01:00:29 2022  p65 factor: 17666117256279101454096298147413636582418711800810445259435764939
Wed Apr 20 01:00:29 2022  p85 factor: 5480646698528681375345213801004546453426946999584746520613170146638971992550560095519
Wed Apr 20 01:00:29 2022  elapsed time 00:22:22 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 773x10^183-8 = 858(183)
#
n: 96821747216446624318859325243194312771763579516690703067064626398348821378518879464401794482393101951012403367728854252204069856764463968860671208341
m: 1000000000000000000000000000000000000
deg: 5
c5: 96625
c0: -1
skew: 0.10
# Murphy_E = 6.23e-11
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 9850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3308320 hash collisions in 31159583 relations (29805826 unique)
Msieve: matrix is 929060 x 929285 (320.2 MB)

Sieving start time : 2022/04/19 23:41:18
Sieving end time  : 2022/04/20 00:37:33

Total sieving time: 0hrs 56min 15secs.

Total relation processing time: 0hrs 13min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 21sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
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)

1243602567398845416829465993447893211765003673599134163500585546755782136751031778363747677699524354600937766731711779914742409<127>

17282149931543739938637226465796900695308706381891<50>
71958788248272057519099958094609092115452821266715942669834861907987950527299<77>

prp77 = 71958788248272057519099958094609092115452821266715942669834861907987950527299
prp50 = 17282149931543739938637226465796900695308706381891

Yafu

5257272597238125229919311626927859515369884899525500809713536425212324860432333600048006317955528126824932696682040206527698542275961308255808452566583426762648137612910275499<175>

90492360781583720529302325103786724833<38>
58096313896896843726304254032908225432303231765977155947153265166095789051593668209791605069330977488346187333502594604489269736726197003<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3802233526
Step 1 took 8500ms
Step 2 took 4188ms
********** Factor found in step 2: 90492360781583720529302325103786724833
Found prime factor of 38 digits: 90492360781583720529302325103786724833
Prime cofactor 58096313896896843726304254032908225432303231765977155947153265166095789051593668209791605069330977488346187333502594604489269736726197003 has 137 digits

GMP-ECM

9024434504875975593687587066299366013207408392492068560665218489939858707054309324220262868957433379709183421019137064570245550249187838410716095137<148>

1891499194746101302583571929198481656381<40>
4771048557642837700379582501682107248228836732980987292581307374677513193800584298112439960945256722036429877<109>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2280415115
Step 1 took 5938ms
Step 2 took 3453ms
********** Factor found in step 2: 1891499194746101302583571929198481656381
Found prime factor of 40 digits: 1891499194746101302583571929198481656381
Prime cofactor 4771048557642837700379582501682107248228836732980987292581307374677513193800584298112439960945256722036429877 has 109 digits

GMP-ECM

130902402821204549045462537069491627509602288783114044390308653273197499844200246692121776810891047227316786339980360631682795198570131532001717060581397891419<159>

50556617350895299112829556942836919998385387<44>
2589223917269979676941611168203227060819048830059626680743505346040498675267491310074700183812250239915782631168337<115>

Number: n
N=130902402821204549045462537069491627509602288783114044390308653273197499844200246692121776810891047227316786339980360631682795198570131532001717060581397891419  ( 159 digits)
SNFS difficulty: 194 digits.
Divisors found:

Thu Apr  7 01:33:15 2022  p44 factor: 50556617350895299112829556942836919998385387
Thu Apr  7 01:33:15 2022  p115 factor: 2589223917269979676941611168203227060819048830059626680743505346040498675267491310074700183812250239915782631168337
Thu Apr  7 01:33:15 2022  elapsed time 00:47:31 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 773x10^192-8 = 858(192)
#
n: 130902402821204549045462537069491627509602288783114044390308653273197499844200246692121776810891047227316786339980360631682795198570131532001717060581397891419
m: 100000000000000000000000000000000000000
deg: 5
c5: 19325
c0: -2
skew: 0.16
# Murphy_E = 2.536e-11
type: snfs
lss: 1
rlim: 12100000
alim: 12100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12100000/12100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3663247 hash collisions in 30428399 relations (28522191 unique)
Msieve: matrix is 1415694 x 1415920 (493.2 MB)

Sieving start time : 2022/04/06 19:24:35
Sieving end time  : 2022/04/07 00:45:03

Total sieving time: 5hrs 20min 28secs.

Total relation processing time: 0hrs 37min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 4sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12100000,12100000,28,28,55,55,2.5,2.5,100000
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)

4529994829541008000432613526300426970449866281747825811942711471696943803374812615355490892708240168589106345473570193876794464857403221<136>

224675850859752166411640586399668457575935578681692368293925072279<66>
20162357512862986603956959604357860928111201044474483535130659093184499<71>

4529994829541008000432613526300426970449866281747825811942711471696943803374812615355490892708240168589106345473570193876794464857403221=
224675850859752166411640586399668457575935578681692368293925072279*20162357512862986603956959604357860928111201044474483535130659093184499

cado polynomial
n: 4529994829541008000432613526300426970449866281747825811942711471696943803374812615355490892708240168589106345473570193876794464857403221
skew: 81087.386
c0: -1485124033402299032759873599743
c1: 22805780074783346054936632
c2: -141755567165105017383
c3: -12331466533887619
c4: 18905386383
c5: 632700
Y0: -116726243862406170946730710
Y1: 205618523796144667979
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.135e-07
# f(x) = 632700*x^5+18905386383*x^4-12331466533887619*x^3-141755567165105017383*x^2+22805780074783346054936632*x-1485124033402299032759873599743
# g(x) = 205618523796144667979*x-116726243862406170946730710

cado parameters (extracts)
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 = 13tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 224675850859752166411640586399668457575935578681692368293925072279 20162357512862986603956959604357860928111201044474483535130659093184499
Info:Square Root: Total cpu/real time for sqrt: 545.87/163.665
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 190.48/161.356
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 148.7s
Info:Square Root: Total cpu/real time for sqrt: 545.87/163.665
Info:Filtering - Singleton removal: Total cpu/real time for purge: 80.98/95.2046
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17024483
Info:Lattice Sieving: Average J: 3807.23 for 731239 special-q, max bucket fill -bkmult 1.0,1s:1.171650
Info:Lattice Sieving: Total time: 244159s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.2/4.03943
Info:Linear Algebra: Total cpu/real time for bwc: 34443.1/8843.15
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 21965.45, WCT time 5614.11, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46080 iterations)
Info:Linear Algebra: Lingen CPU time 289.81, WCT time 73.65
Info:Linear Algebra: Mksol: CPU time 11927.14,  WCT time 3059.08, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23040 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 246.24/62.3961
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 75.87/89.4736
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 89.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7049.1
Info:Polynomial Selection (root optimized): Rootsieve time: 7046.72
Info:Filtering - Merging: Merged matrix has 1472588 rows and total weight 251836439 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 401.45/111.308
Info:Filtering - Merging: Total cpu/real time for replay: 56.04/50.5932
Info:Quadratic Characters: Total cpu/real time for characters: 50.67/20.8651
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): 54288/39.740/48.764/54.570/0.955
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44047/38.720/43.642/49.570/1.150
Info:Polynomial Selection (size optimized): Total time: 11138.6
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 511447/137141
Info:root: Cleaning up computation data in /tmp/cado.w3ota4fu
224675850859752166411640586399668457575935578681692368293925072279 20162357512862986603956959604357860928111201044474483535130659093184499

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

127284497160083483079852670151785946805453006804025251589647726688515889516817664226059041969250199446302615750542280294837426160851328098598755101<147>

182279052374487585875894921523740033966234101861940320666903308817<66>
698294705299327454601793976058013452749683570374732457492725809291640914661733453<81>

Number: n
N=127284497160083483079852670151785946805453006804025251589647726688515889516817664226059041969250199446302615750542280294837426160851328098598755101  ( 147 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sun May  8 05:20:18 2022  p66 factor: 182279052374487585875894921523740033966234101861940320666903308817
Sun May  8 05:20:18 2022  p81 factor: 698294705299327454601793976058013452749683570374732457492725809291640914661733453
Sun May  8 05:20:18 2022  elapsed time 01:04:59 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 773x10^194-8 = 858(194)
#
n: 127284497160083483079852670151785946805453006804025251589647726688515889516817664226059041969250199446302615750542280294837426160851328098598755101
m: 500000000000000000000000000000000000000
deg: 5
c5: 1546
c0: -5
skew: 0.32
# Murphy_E = 2.214e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3417499 hash collisions in 28956837 relations (27204466 unique)
Msieve: matrix is 1562138 x 1562365 (545.7 MB)

Sieving start time : 2022/05/07 22:33:05
Sieving end time  : 2022/05/08 04:14:43

Total sieving time: 5hrs 41min 38secs.

Total relation processing time: 0hrs 48min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 35sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] 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)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

594486616293356486102011600006468257651559442122965553719185216387764501497373593285348130491624620432911313488950002528444183639068904879<138>

38032462114784097766109657862087795071<38>
15631031577686520249561933962502259064472646064688403211629081339003018721777636583353314548218858449<101>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1636032339
Step 1 took 5828ms
Step 2 took 3282ms
********** Factor found in step 2: 38032462114784097766109657862087795071
Found prime factor of 38 digits: 38032462114784097766109657862087795071
Prime cofactor 15631031577686520249561933962502259064472646064688403211629081339003018721777636583353314548218858449 has 101 digits
 

GMP-ECM

249066325911004562057073138951262376178986128650179969189921576363087338399148380786242760675607686891449255194597299451975151432284387668471417<144>

1338282678416423022327298177289258894518614062691051462467<58>
186108906532155330427824883044497940816492208181677844633602090139100360360967455336851<87>

1338282678416423022327298177289258894518614062691051462467*186108906532155330427824883044497940816492208181677844633602090139100360360967455336851

GGNFS, Msieve gnfs

661165580333241824270835077028499936661230447882364169408625418442282253083123889990725908667091330555507658729958726953795886728197600690676957423194948392104178918105391738224170807<183>

233970447195812781430677304111269547<36>

2825850821150519557169493331226271826000453948322230992477089441400461106300787856049739873520740043661042885846430950455338591234214428903986012581<148>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1233241585
Step 1 took 11296ms
Step 2 took 4452ms
********** Factor found in step 2: 233970447195812781430677304111269547
Found probable prime factor of 36 digits: 233970447195812781430677304111269547
Composite cofactor 2825850821150519557169493331226271826000453948322230992477089441400461106300787856049739873520740043661042885846430950455338591234214428903986012581 has 148 digits

2825850821150519557169493331226271826000453948322230992477089441400461106300787856049739873520740043661042885846430950455338591234214428903986012581<148>

7143265217707125904523891949965989780889351774339172598135457090459329<70>
395596514342718547018551737969084070164069206532450696292015548084010747938789<78>

CADO:

STA:Sun Jun 9 02:53:18 AM AEST 2024 (2825850821150519557169493331226271826000453948322230992477089441400461106300787856049739873520740043661042885846430950455338591234214428903986012581 - C148)

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 2825850821150519557169493331226271826000453948322230992477089441400461106300787856049739873520740043661042885846430950455338591234214428903986012581 2>&1 | tee -a log-32 

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead.
  loc = locale.getdefaultlocale()[1]
Debug:root: Looking for parameter file for c148 in directory /home/bob/Downloads/Math/cado-nfs/parameters/factor
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c148
Debug:Parameters: Reading parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c148
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.nt9qu45v
Info:Database: Opened connection to database /tmp/cado.nt9qu45v/c148.db
Info:root: Set tasks.threads=18 based on --server-threads 18
Info:root: tasks.threads = 18 [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 = 18 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9
Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 2825850821150519557169493331226271826000453948322230992477089441400461106300787856049739873520740043661042885846430950455338591234214428903986012581
Debug:root: Root parameter dictionary:
N = 2825850821150519557169493331226271826000453948322230992477089441400461106300787856049739873520740043661042885846430950455338591234214428903986012581
name = c148
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 2825850821150519557169493331226271826000453948322230992477089441400461106300787856049739873520740043661042885846430950455338591234214428903986012581
skew: 787480.169
c0: -65726477321115588393168428885030052
c1: 468248077519643644029671429939
c2: 480473719372971130504404
c3: -1076821297288498637 
c4: 536006418114
c5: 390600 
Y0: -33042559090840388150386867998
Y1: 2970146245868116208941
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=3.087e+14) = 5.999e-07
# f(x) = 390600*x^5+536006418114*x^4-1076821297288498637*x^3+480473719372971130504404*x^2+468248077519643644029671429939*x-65726477321115588393168428885030052
# g(x) = 2970146245868116208941*x-33042559090840388150386867998
===
Debug:Command: Process with PID 480990 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 395596514342718547018551737969084070164069206532450696292015548084010747938789 7143265217707125904523891949965989780889351774339172598135457090459329
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 3053.12/370.612
Info:HTTP server: Got notification to stop serving Workunits
Info:Linear Algebra: Total cpu/real time for bwc: 75207.9/9863.61
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 45190.97, WCT time 5866.03, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (84000 iterations)
Info:Linear Algebra: Lingen CPU time 112.35, WCT time 113.51
Info:Linear Algebra: Mksol: CPU time 25019.01,  WCT time 3273.68, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (44000 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 117089
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 81276/44.290/55.048/65.890/2.342
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 68911/42.320/47.837/60.140/1.219
Info:Polynomial Selection (size optimized): Total time: 50505.4
Info:Filtering - Singleton removal: Total cpu/real time for purge: 581.77/415.868
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 527.4/481.693
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 481.5s
Info:Generate Free Relations: Total cpu/real time for freerel: 866.11/101.931
Info:Quadratic Characters: Total cpu/real time for characters: 79.74/21.5728 
Info:Square Root: Total cpu/real time for sqrt: 3053.12/370.612
Info:Lattice Sieving: Aggregate statistics: 
Info:Lattice Sieving: Total number of relations: 119073877
Info:Lattice Sieving: Average J: 7845.13 for 696712 special-q, max bucket fill -bkmult 1.0,1s:1.157770
Info:Lattice Sieving: Total time: 1.27366e+06s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.41/1.17258
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4093.51
Info:Polynomial Selection (root optimized): Rootsieve time: 4092.91
Info:Filtering - Merging: Total cpu/real time for merge: 251.02/40.1602
Info:Filtering - Merging: Total cpu/real time for replay: 46.7/40.9618
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1521.55/1011.27
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 864.2s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.34703e+06/161289 [1d 20:48:09]
Info:root: Cleaning up computation data in /tmp/cado.nt9qu45v
395596514342718547018551737969084070164069206532450696292015548084010747938789 7143265217707125904523891949965989780889351774339172598135457090459329

END:Mon Jun 10 11:41:29 PM AEST 2024 (2825850821150519557169493331226271826000453948322230992477089441400461106300787856049739873520740043661042885846430950455338591234214428903986012581 - C148)

11929012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679<203>

253354527234310552780153073236027787<36>

47084267551480031728199992507386419076273190247367442028229406967699041969185571882108805662753910837684958656063152975746425967954812957518761816998037164173077395917<167>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1116057983
Step 1 took 13144ms
Step 2 took 4884ms
********** Factor found in step 2: 253354527234310552780153073236027787
Found probable prime factor of 36 digits: 253354527234310552780153073236027787
Composite cofactor 47084267551480031728199992507386419076273190247367442028229406967699041969185571882108805662753910837684958656063152975746425967954812957518761816998037164173077395917 has 167 digits

47084267551480031728199992507386419076273190247367442028229406967699041969185571882108805662753910837684958656063152975746425967954812957518761816998037164173077395917<167>

129694844698160964206062998747064667<36>
363038852169177031073841230469752128380072855838818815826882912903575588018238211208307424934916071026315954229293205254551453493751<132>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=242602135
Step 1 took 9980ms
Step 2 took 4044ms
********** Factor found in step 2: 129694844698160964206062998747064667
Found probable prime factor of 36 digits: 129694844698160964206062998747064667
Probable prime cofactor 363038852169177031073841230469752128380072855838818815826882912903575588018238211208307424934916071026315954229293205254551453493751 has 132 digits

23683734438367814820001659127339138254860598507694696956883352701156623230589729531467189743709863690214137189967497114085494517<128>

533222922955951412647430393730011435340859<42>
44416197088969270657825920034396267930056940072052694124905572989513921058552993195663<86>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2409691613
Step 1 took 4766ms
Step 2 took 921ms
********** Factor found in step 2: 533222922955951412647430393730011435340859
Found prime factor of 42 digits: 533222922955951412647430393730011435340859
Prime cofactor 44416197088969270657825920034396267930056940072052694124905572989513921058552993195663 has 86 digits

GMP-ECM

69336313879913738090927480566278017342366536475852413287629131484541966642649213362027982952272433553566276079872276230994943274822454187622737833243958555649056426950668208318793337887105627066141425701<203>

13412153364817014466502464189039577027326913505033250533200584428059046707439590626719228368029725275430962523554408032271988161382148967885433037571837930859316569698616130952302875449135427485021<197>

11270059805467903494369230600594484583<38>

1190069404805627545066252701110216714709992101355905192037197376780841294654454752493475447348686847632522196105331958633777883462957094087731250685529908396187<160>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:969238941
Step 1 took 9910ms
Step 2 took 4709ms
********** Factor found in step 2: 11270059805467903494369230600594484583
Found prime factor of 38 digits: 11270059805467903494369230600594484583
Composite cofactor 1190069404805627545066252701110216714709992101355905192037197376780841294654454752493475447348686847632522196105331958633777883462957094087731250685529908396187 has 160 digits

21637247282248744165393458697634000597338903927818356525787611539483148681773695600806434663851677626656035003161217472818747195295121797608507325145692024905625159844944973<173>

19824227537921165589458508107072430085750805590540356215006500798926117050847143744720416055092250017822825602117532813382282891126462513603277641800944091186702165459967449814422645513582603439012873<200>

37564632733494840744998346479112410558555566248411613529136275958865516757622446800207446179992310591476247666408777037614764041779095328879691664653871814054390403015758896331791<179>

1234035759897828863346104725415070242656449553001277139208173690932311621966794380587484035759897828863346104725415070242656449553001277139208173690932311621966794380587484035759897828863346104725415070242656449553<214>

4045218350410811852138370683948034773988668761209522161206109465931193075831586764428130274457724068051382660389795878386462196887932184266094658579713178471871449122698635082671159<181>

10381932231776515329774326066221363106265626717706475844307378551122979824061714686829572556908500763306071743907432810157051739167<131>

47610990963645661179486413711888789<35>
218057469959065764352818569156798393012507168307100237026123270147906040594236951167908546335203<96>

GMP-ECM 7.0.5-dev [configured with GMP 6.2.1, --enable-asm-redc, --enable-assert] [ECM]
Input number is 10381932231776515329774326066221363106265626717706475844307378551122979824061714686829572556908500763306071743907432810157051739167 (131 digits)

********** Factor found in step 2: 47610990963645661179486413711888789
Found prime factor of 35 digits: 47610990963645661179486413711888789
Prime cofactor 218057469959065764352818569156798393012507168307100237026123270147906040594236951167908546335203 has 96 digits

66932067466969847285439689825889344477202193169029221449654720582776212623765445375501540251473388675849226798678523738700256485760631254078699919833912880181936079234822214228472586322278753410071944439422374699186681<218>

345874912438548880026149495157729974411<39>

193515242244872488846377641317531297818469720013550089646555258574623738698272714366234911771676804386707165484799200970318736950039131139350626459127476294253194412855431780418571<180>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2226070859
Step 1 took 11856ms
Step 2 took 5375ms
********** Factor found in step 2: 345874912438548880026149495157729974411
Found prime factor of 39 digits: 345874912438548880026149495157729974411
Composite cofactor 193515242244872488846377641317531297818469720013550089646555258574623738698272714366234911771676804386707165484799200970318736950039131139350626459127476294253194412855431780418571 has 180 digits

23380685263821759723465189917725728587443640092467913182442173523844795291401924243918600307604754646212774796728275199711853673813541808489790323719535652391138285092965675618533<179>

152316965895390499707706667810634716254877101936055242139387540254249693497277108710987362272703820494506969722044418741748055085155156831244713<144>

45827697740094442349009151114485290112809959659689<50>
3323687931242705338051458065251307525600455394576560619296718074869375717431750245519809270017<94>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1659807902
Step 1 took 85765ms
Step 2 took 31656ms
********** Factor found in step 2: 45827697740094442349009151114485290112809959659689
Found prime factor of 50 digits: 45827697740094442349009151114485290112809959659689
Prime cofactor 3323687931242705338051458065251307525600455394576560619296718074869375717431750245519809270017 has 94 digits
 

GMP-ECM

6527922609403733382347636125477189429038195741034365690809205087553890827383571864080786020292270471025080296540976825581732388450770922700949538101235403331921489905329120189108857661728440754781980832351<205>

50989625861013282182982521298069775217194572168074632392203677494385876421004341530511274839201547926145147018430245243969790313641857000437125210096386216073322919571809183058598061065337462679683452793116077171717<215>

2842628767261647515424148531674127457551787826742757807797487960348493243202447416544121333634172387338566864671426972107102269336044295348428579818003134295946597925428719827412487386716822036115945232461023<208>

90446285274006748626771809047012231351199060634928945215124202648964538642465623956216223479417415867888423256658240867582713969019802888733855195196354349024875063789555087273189507174330023999383044078921311<209>

512995414366299050029233918366890838682016346295609659345458509517748284845629762443583483150813187269041179050615193289396363375741331254334303266028789108051260575903023054710839875069821522198170538125155204668669<216>

6000755743310665360676119470298860068541963904769482438186882558426862646455743443727157420872813600202116021182879817053116246147023759154837619203792382526192361<163>

609754916134625469678770423703942415436068788720089139762177425620182113497510164591756895865805014530127315416838265377590720048308416010755097712830696158119537493663498009329507865373228615745113543972469365266869811<219>

1416324641781929339056309770157718729867389536249217417972669366392068677693133863773054138607584351719085372276889429133519204465002591937123655856044120218337417206679957849938270151928032518264981578677801349128278963062089613<229>

51401928374476710880522778587279018634692019054229105719506587726731691720599604715367190567728428569786217595119842988225499511292275924281161746396680534164839227702977505416554341151283895236844842252227021329684085280293816391<230>

22112322339001296568370003481756638706985259548506031088310532025536831674929788207431102192490479819784563122835578416231845315606263792312690917050994941892649398863643372175359668541270119269914797047884142094351101792671<224>

101632099528877527568997485656230869674967931905814003011150256784925762744559628622991806314683640259487216422932598721774764448564218865797828042520408673<156>

1635136896495836830976239829047641978211900107377325028644385173886473349<73>
62155101353702643796725000616380227228497230592240763360024072803942859438215359277<83>

Number: 85888_239
N = 101632099528877527568997485656230869674967931905814003011150256784925762744559628622991806314683640259487216422932598721774764448564218865797828042520408673 (156 digits)
SNFS difficulty: 243 digits.
Divisors found:
r1=1635136896495836830976239829047641978211900107377325028644385173886473349 (pp73)
r2=62155101353702643796725000616380227228497230592240763360024072803942859438215359277 (pp83)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 145.67 hours.
Factorization parameters were as follows:
# Murphy_E = 1.561e-11, selected by Dmitry Domanov
n: 101632099528877527568997485656230869674967931905814003011150256784925762744559628622991806314683640259487216422932598721774764448564218865797828042520408673 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 773
c0: -80
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 150000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 500000000/150000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 62400117
Relations: 15026790 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 22.78 hours.
Total relation processing time: 0.62 hours.
Pruned matrix : 11538171 x 11538396
Matrix solve time: 119.48 hours.
time per square root: 2.79 hours.
Prototype def-par.txt line would be: snfs,243,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000
total time: 145.67 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22631-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

37201919426640578112987676639814933683923946585736227286022400818516169323238830756105233602233882735468732057057259794955164462825462415097066159773271151797011316977667391345183604079605470989457858689447291<209>

562920479282452739875231266768601090559<39>

66087344120187936341117443897123033766577035407154826157003803075142637149321868550621968747504083465169755138770370028738469116014418376398698104909361651838808040406149<170>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3471872941
Step 1 took 96371ms
Step 2 took 36283ms
********** Factor found in step 2: 562920479282452739875231266768601090559
Found prime factor of 39 digits: 562920479282452739875231266768601090559
Composite cofactor 66087344120187936341117443897123033766577035407154826157003803075142637149321868550621968747504083465169755138770370028738469116014418376398698104909361651838808040406149 has 170 digits

1013551332894583351221924322571109091057412935969350576924904724575053800327479720626294520743172697504790185207984189811797106674249635535594557598259306958322401008691321473556511808851701850450397509483098334232134396564782976191043<235>

11000088898738382142322461919739198655709262661931265348200242972884220757236951874736414806578725552289400182440882691785782253447936568318477200668475789087647057188924186812543016489509262553156826557<203>

8801095941866717910891008695360353973<37>

1249854446695789167896363231611619973247712903183051542025185401513408606105747763658921646704508146995600172993397782538298128399683829991552933835242147784573509609<166>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3301393997
Step 1 took 36755ms
Step 2 took 15979ms
********** Factor found in step 2: 8801095941866717910891008695360353973
Found prime factor of 37 digits: 8801095941866717910891008695360353973
Composite cofactor 1249854446695789167896363231611619973247712903183051542025185401513408606105747763658921646704508146995600172993397782538298128399683829991552933835242147784573509609 has 166 digits

442405263959616492986380813786485366542130149935055405849952282865845736992760953267533555028252195651844711400283103890996847040406031761836797775722127512102232021857718899803597715916593664048995000638660605983<213>

422843283390664970614098212000037706711309417876169593130571361193637524114748714166297727735883710902724726685107812353924051527662098749012867829965338435511750604763893502482815914563966889945252578639301332406179433002027859<228>

100867883458944133441535005004291830280421580239875477253183596552628155451309929365560645607333585767521354255848004483162188610895828426201955456845833717230998077431295415570094033351848711353125293828232866644484472758287077260851<234>

46297365918599008161841357634186019389315396740279227627863667502788135092601914770757806333808190289084737932223894345892123027023411001215627229854726351530564752915963<170>

5603936488045850355261287782263302846567505959488151517449825549408319522205716296901156352447179890796713083956160587633683248969555046831334365043333633914882691463019171052297918700153299111541096068186083190466549<217>

2721525724249121527917058056640831116638762403216371114116502311649938985581687501998167306789908533032904883105031770614942722025951806753697153393969196745591809713713758804249765821493661327231305491766783728496730052499<223>

37398949035817931952264966433463350087488129191959778213528621848336453676508625796283859049626256120521406110343465697425254081696384024782094511519277400978770332239087908442535464489346457250448676578869760544652312611383<224>

240249788542503485283917342651495182207229<42>
155666938408986547459150580507412706444013994573730003047509333968694598758673445375225955600527717419529886237320718793694747293290248267724769109673471762994177521337400481951477827<183>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1319787994
Step 1 took 55436ms
Step 2 took 21989ms
********** Factor found in step 2: 240249788542503485283917342651495182207229
Found prime factor of 42 digits: 240249788542503485283917342651495182207229
Prime cofactor 155666938408986547459150580507412706444013994573730003047509333968694598758673445375225955600527717419529886237320718793694747293290248267724769109673471762994177521337400481951477827 has 183 digits

1387096135524026567623345348992696120990101481170025820239705100158016487660837778942980130002983890672744527523248791614647590547184758943340879605875939869605140117364987152866447286141686107590400410388258869<211>

100372932335886803114110168335288601<36>

13819424253565337059354668494066952651837947394273964850913028019812333940141935930545661575800093159005257070430312157021127147015994419248074718416480932947079834140554905469<176>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2811704479
Step 1 took 37648ms
Step 2 took 834ms
********** Factor found in step 2: 100372932335886803114110168335288601
Found prime factor of 36 digits: 100372932335886803114110168335288601
Composite cofactor 13819424253565337059354668494066952651837947394273964850913028019812333940141935930545661575800093159005257070430312157021127147015994419248074718416480932947079834140554905469 has 176 digits

2377162678247936353966532783506295033137184336689759699460688993550921470964984097124972933397037924384962413131033717441042878481311937748210593044544550816625831392718409896148228565669696214947898513696402023131698208623299185987<232>

827782151178439367335798757218726411036639022405091600811926902962611617348205147133686663280827499352002592403239099710828199027369780765475115440662834309165422818906498651368346970088363704444584378605684085183289637<219>

4099380183053180885606195272819763502399441598427319988722481301742789186196741013500228747341516986121597444178623800958526618419211071066783684887452503973430826952069851685599629260370457460253461294179510299828065271427755309771<232>

1073611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<262>

80574783881838008027092639557139114240950029510801963805714161828652811319954142293699208745738313645474125902087269187100986027459102123104502961961877113599425405690803997506869490471312673797206140363386080740507881209457123403584236203803<242>

125396650505122770247840967904423313037587767258362402716929529225350654590030354210007389257029292326821053112008819898169819186980211907818920667422093488958591275363306192221789051794191108839344644612551805452665467468312044441539<234>

6720773834870397620440482313199372783929<40>

18658067297921638835750709755555840649941116629555935001230292605531662836445773298692928460928407536270922335969451630053615477133795712769715882913214530461849804329508642149331801214682576091<194>

Resuming ECM residue saved by @4a78b4eb927c with GMP-ECM 7.0.5-dev on Sat Mar 26 16:32:16 2022 
Input number is 125396650505122770247840967904423313037587767258362402716929529225350654590030354210007389257029292326821053112008819898169819186980211907818920667422093488958591275363306192221789051794191108839344644612551805452665467468312044441539 (234 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:439985139
Step 1 took 0ms
Step 2 took 10472ms
********** Factor found in step 2: 6720773834870397620440482313199372783929
Found prime factor of 40 digits: 6720773834870397620440482313199372783929
Composite cofactor 18658067297921638835750709755555840649941116629555935001230292605531662836445773298692928460928407536270922335969451630053615477133795712769715882913214530461849804329508642149331801214682576091 has 194 digits

32698361536105921645569629494501435244150026265359423012338569649127806333052707845002222967731866464580526026167440612484647414201194465376812150439785513142727151101400554451502797148566107275492066765824951256313760951921223<227>

938375119327024905442896755491471561124204491625773198611522369690509010847099062785890883186337774441941051441387561157206651900219487851375691022925351116729097003080372275465941310349603885576154162449022221880227832374848721078834187<237>

1380832714839092425728788428580332913063231741128951127059158349679735283509615814254883570504593881850012619985283012396764789124717790697820184403029156159396091348572241929729639522329596329324551335606910327112947858430244401988965294945883831<247>

3323873409012727898176814585483316133470932232542139662882696938424492604059167526659786721706226350189198486412108703130374957000343997248022015823873409012727898176814585483316133470932232542139662882696938424492604059167526659786721706226350189198486412108703130374957<271>

24562033902725376042735991403282423191033<41>

135325658378963258041237091689260055027446892887825862177869849319644403321052450441538678655870286252162770941229697876021073535757624754135835178201780125892953277873664564718971628273478330738768237238031277600011360132660995029<231>

GPU: factor 24562033902725376042735991403282423191033 found in Step 1 with curve 480 (-sigma 3:274171641)
Computing 1792 Step 1 took 1241ms of CPU time / 973999ms of GPU time
Throughput: 1.840 curves per second (on average 543.53ms per Step 1)
********** Factor found in step 1: 24562033902725376042735991403282423191033
Found prime factor of 41 digits: 24562033902725376042735991403282423191033
Composite cofactor 135325658378963258041237091689260055027446892887825862177869849319644403321052450441538678655870286252162770941229697876021073535757624754135835178201780125892953277873664564718971628273478330738768237238031277600011360132660995029 has 231 digits
Peak memory usage: 9430MB

706041056352230993725117840371203015403255617699679557751049612755705083106867535588953346596529432143555277703075651183021251474020555920275739165912901289441667372290960453563051105846643521810321131234860318904931201541622470026569<234>

24482420032635938823947462700875877597629298298725229145772870355729707359172721240499521482425247170779660241887696727554529447247970701171966424675057262339652863661734038496699204977315507241246115677022397721375474773056249010891<233>

272480269354629632262305573730420636360447550928613800222197627597466615470188575490282307051025863107299342425997340181988470525145754928909151558370215321112094410436856017684023523649845829281069616105911<207>

257946192259735037295737401070845548923782528262167607668707497560747904240973648073085873864489757175081991611417335458927866984220921295387505441497909569871299109070576739283615286830806622468898307700065594168611981220081428924175722470887411<246>

1142419303444204220538821350915710846409<40>

225789420296094580123878017661851349297087545637760368825622458653563705986014279579097704185827303225007768191225349017525431732228364723962037016130549356141539193964016180219332038811827497535745053717979<207>

Resuming ECM residue saved by @4a78b4eb927c with GMP-ECM 7.0.5-dev on Sat Mar 26 16:58:57 2022 
Input number is 257946192259735037295737401070845548923782528262167607668707497560747904240973648073085873864489757175081991611417335458927866984220921295387505441497909569871299109070576739283615286830806622468898307700065594168611981220081428924175722470887411 (246 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2880749606
Step 1 took 0ms
Step 2 took 5934ms
********** Factor found in step 2: 1142419303444204220538821350915710846409
Found prime factor of 40 digits: 1142419303444204220538821350915710846409
Composite cofactor 225789420296094580123878017661851349297087545637760368825622458653563705986014279579097704185827303225007768191225349017525431732228364723962037016130549356141539193964016180219332038811827497535745053717979 has 207 digits

25981634912994410488806929164449216584880616920831067839404566847934047342580307166243996318855043015614374914135546908700450143067037286286126646489783337266634236654747441146756472942700545458343561304781583959410006490097013103276952347105074303662253<254>

13906516955621817234867348263487307422834232867567005053167307068184476936218416451089231625950146405960762775850879441674852501644263023945511029804376122964535150933074184766700227557917036341582434717478215933598120140918993761178943533414618072004878996638088139141<269>

184550686226492594089874157483074014429898029<45>

75353374403359497633213524288906440906750420887742695137253418001889556095105590003710433852907474806747511587928541632958058357727228343756557710301799658112906420172178868925178125960902915355283826253511659574552164844729<224>

Resuming ECM residue saved by @a745c4229aed with GMP-ECM 7.0.5-dev on Thu Mar 24 19:53:50 2022 
Input number is 13906516955621817234867348263487307422834232867567005053167307068184476936218416451089231625950146405960762775850879441674852501644263023945511029804376122964535150933074184766700227557917036341582434717478215933598120140918993761178943533414618072004878996638088139141 (269 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1825773422
Step 1 took 0ms
Step 2 took 13235ms
********** Factor found in step 2: 184550686226492594089874157483074014429898029
Found prime factor of 45 digits: 184550686226492594089874157483074014429898029
Composite cofactor 75353374403359497633213524288906440906750420887742695137253418001889556095105590003710433852907474806747511587928541632958058357727228343756557710301799658112906420172178868925178125960902915355283826253511659574552164844729 has 224 digits

75353374403359497633213524288906440906750420887742695137253418001889556095105590003710433852907474806747511587928541632958058357727228343756557710301799658112906420172178868925178125960902915355283826253511659574552164844729<224>

5107934488183820574220923449316113838569<40>
14752220213018467366573428921089895802723472149854549905683841338999302404211497035212699141057336893524397576589423229364225546891267481526226354551265113745396919406257990659982338641<185>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2773400139
Step 1 took 56540ms
Step 2 took 18196ms
********** Factor found in step 2: 5107934488183820574220923449316113838569
Found probable prime factor of 40 digits: 5107934488183820574220923449316113838569
Probable prime cofactor 14752220213018467366573428921089895802723472149854549905683841338999302404211497035212699141057336893524397576589423229364225546891267481526226354551265113745396919406257990659982338641 has 185 digits

1704149061158581723664314512476724550047486224152964029278065467387234697928210259472387309337917137381769996303616508526290761838322513803498916309970709482858299073610330858538615372260970574108583503060371558992672805944717796901729527261077915952560165353341016284029<271>

702044649500345296010639304236156506968115444324552552816507617343798537152265479038416475737682203859579345423326377213436379135133156689325916856444062314354325894694617417083924399191803614528636572299799937658096618218815406636263091765880241052047213338903<261>

70699957110134044304494525814106919535591942372717978607601209521219111287441969259659713683985490698611942840585140380249192654320889753634183235319198170661966042135841175444419542760163180949441834936388694479157159353527977042065798013444791<245>