1692051839194425106709139365300367768565983868812803690343086583830840523454914949124176388273597311<100>

50789911261834292130492959224109062870649<41>
33314723281785000936499186267530954821588780727831076058039<59>

N=1692051839194425106709139365300367768565983868812803690343086583830840523454914949124176388273597311
  ( 100 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=50789911261834292130492959224109062870649 (pp41)
 r2=33314723281785000936499186267530954821588780727831076058039 (pp59)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1692051839194425106709139365300367768565983868812803690343086583830840523454914949124176388273597311
m: 100000000000000000000000000
deg: 4
c4: 77
c0: -32
skew: 0.80
# Murphy_E = 2.493e-07
type: snfs
lss: 1
rlim: 410000
alim: 410000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 410000/410000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [205000, 305001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 28727 x 28953
Total sieving time: 0.00 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,105.000,4,0,0,0,0,0,0,0,0,410000,410000,25,25,44,44,2.2,2.2,20000
total time: 0.01 hours.
 --------- CPU info (if available) ----------

350063048096366700354841710939134540184272827434712729692388559976697439747524338495593220200672778383824602553<111>

33131210681401271576333047938964098457<38>
10565960038788444324842784019125325820988959322426477039787143788561648929<74>

N=350063048096366700354841710939134540184272827434712729692388559976697439747524338495593220200672778383824602553
  ( 111 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=33131210681401271576333047938964098457 (pp38)
 r2=10565960038788444324842784019125325820988959322426477039787143788561648929 (pp74)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 350063048096366700354841710939134540184272827434712729692388559976697439747524338495593220200672778383824602553
m: 1000000000000000000000000000000
deg: 4
c4: 385
c0: -16
skew: 0.45
# Murphy_E = 3.282e-08
type: snfs
lss: 1
rlim: 770000
alim: 770000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 770000/770000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [385000, 685001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 63406 x 63631
Total sieving time: 0.00 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,122.000,4,0,0,0,0,0,0,0,0,770000,770000,25,25,46,46,2.2,2.2,75000
total time: 0.01 hours.
 --------- CPU info (if available) ----------

203059160063262802541216946811750136699643854261105850681396597260026938034840749012706927055100276484085674920949<114>

2901161180146980226449629469035992419739552781723<49>
69992374588775969859906702417496236326507175779633845468671378863<65>

N=203059160063262802541216946811750136699643854261105850681396597260026938034840749012706927055100276484085674920949
  ( 114 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=2901161180146980226449629469035992419739552781723 (pp49)
 r2=69992374588775969859906702417496236326507175779633845468671378863 (pp65)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 203059160063262802541216946811750136699643854261105850681396597260026938034840749012706927055100276484085674920949
m: 10000000000000000000000000000000
deg: 4
c4: 77
c0: -32
skew: 0.80
# Murphy_E = 2.907e-08
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 665001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 92468 x 92693
Total sieving time: 0.00 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,125.000,4,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,75000
total time: 0.01 hours.
 --------- CPU info (if available) ----------

17866231379831644043994301250148626231605706924070536298999041648060976195188564913555847445897518379561729<107>

2857291948067000776767668528086794029627505900528563<52>
6252854697581186030851124178175332986491025997465257083<55>

N=17866231379831644043994301250148626231605706924070536298999041648060976195188564913555847445897518379561729
  ( 107 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=2857291948067000776767668528086794029627505900528563 (pp52)
 r2=6252854697581186030851124178175332986491025997465257083 (pp55)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.02 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 17866231379831644043994301250148626231605706924070536298999041648060976195188564913555847445897518379561729
m: 100000000000000000000000000000000
deg: 4
c4: 385
c0: -16
skew: 0.45
# Murphy_E = 1.352e-08
type: snfs
lss: 1
rlim: 1050000
alim: 1050000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1050000/1050000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [525000, 1025001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 113599 x 113824
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,130.000,4,0,0,0,0,0,0,0,0,1050000,1050000,26,26,47,47,2.3,2.3,100000
total time: 0.02 hours.
 --------- CPU info (if available) ----------

2673611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<130>

4827301157564415216583600468925660736876736224204534145021489<61>
553852147161264944364811171424791210996496303796903159279010805633399<69>

Number: n
N=2673611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111  ( 130 digits)
SNFS difficulty: 131 digits.
Divisors found:

Sat Dec 24 21:16:12 2022  p61 factor: 4827301157564415216583600468925660736876736224204534145021489
Sat Dec 24 21:16:12 2022  p69 factor: 553852147161264944364811171424791210996496303796903159279010805633399
Sat Dec 24 21:16:12 2022  elapsed time 00:02:35 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.286).
Factorization parameters were as follows:
#
# N = 77x10^130-32 = 85(129)2
#
n: 2673611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 100000000000000000000000000000000
deg: 4
c4: 1925
c0: -8
skew: 0.25
# Murphy_E = 9.635e-09
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1080000/1080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved  special-q in [100000, 6140000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 642257 hash collisions in 7352066 relations (7466818 unique)
Msieve: matrix is 279696 x 279942 (38.9 MB)

Sieving start time : 2022/12/24 21:03:42
Sieving end time  : 2022/12/24 21:13:19

Total sieving time: 0hrs 9min 37secs.

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

Prototype def-par.txt line would be:
snfs,131,4,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

110664524444871004494524750207172161025824946590382260232904967404922610908900021919220228920074478144682477333<111>

14730336202440285678305251461777659899128829627081<50>
7512695088828853903808488707460666256899591746683242801574893<61>

N=110664524444871004494524750207172161025824946590382260232904967404922610908900021919220228920074478144682477333
  ( 111 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=14730336202440285678305251461777659899128829627081 (pp50)
 r2=7512695088828853903808488707460666256899591746683242801574893 (pp61)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.04 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 110664524444871004494524750207172161025824946590382260232904967404922610908900021919220228920074478144682477333
m: 1000000000000000000000000000000000
deg: 4
c4: 385
c0: -16
skew: 0.45
# Murphy_E = 8.613e-09
type: snfs
lss: 1
rlim: 1230000
alim: 1230000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1230000/1230000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [615000, 1315001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 141174 x 141399
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1230000,1230000,26,26,47,47,2.3,2.3,100000
total time: 0.04 hours.
 --------- CPU info (if available) ----------

135968861024517775938989388317262002375184372792570002417446304287587289939421761911135532394550088358141<105>

2787483149797836621544652416857434917<37>
48778361596330716587406165110011864863889282933031985690712050727673<68>

2787483149797836621544652416857434917*48778361596330716587406165110011864863889282933031985690712050727673

GGNFS snfs

100206076424676846062071319537653792586724847105323415383641080527827854481971382948194420699174935231066865964831<114>

1739116759085981651683675576078292945864252520104579<52>
57618947032251946591680265739097396168797968662940850209588789<62>

NFS elapsed time = 3137.5706 seconds.
pretesting / nfs ratio was 0.04
Total factoring time = 3251.1928 seconds


***factors found***

P52 = 1739116759085981651683675576078292945864252520104579
P62 = 57618947032251946591680265739097396168797968662940850209588789

yafu

1477133210558624923265807243707796193984039287906691221608348680171884591774094536525475751995089011663597298956414978514426028238182934315531<142>

55852410892238176796437454279243663<35>
14877423582099809869806841311358771183<38>
1777665361076646052944847811632563179486705978366882236156789066643339<70>

Number: n
N=1477133210558624923265807243707796193984039287906691221608348680171884591774094536525475751995089011663597298956414978514426028238182934315531  ( 142 digits)
SNFS difficulty: 145 digits.
Divisors found:

Sat Dec 24 02:10:32 2022  found factor: 1777665361076646052944847811632563179486705978366882236156789066643339
Sat Dec 24 02:10:40 2022  found factor: 1777665361076646052944847811632563179486705978366882236156789066643339
Sat Dec 24 02:10:48 2022  p35 factor: 55852410892238176796437454279243663
Sat Dec 24 02:10:48 2022  p38 factor: 14877423582099809869806841311358771183
Sat Dec 24 02:10:48 2022  p70 factor: 1777665361076646052944847811632563179486705978366882236156789066643339
Sat Dec 24 02:10:48 2022  elapsed time 00:03:37 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 77x10^144-32 = 85(143)2
#
n: 1477133210558624923265807243707796193984039287906691221608348680171884591774094536525475751995089011663597298956414978514426028238182934315531
m: 1000000000000000000000000000000000000
deg: 4
c4: 77
c0: -32
skew: 0.80
# Murphy_E = 2.989e-09
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6545000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 583359 hash collisions in 7465315 relations (7692139 unique)
Msieve: matrix is 243957 x 244182 (82.2 MB)

Sieving start time : 2022/12/24 01:46:06
Sieving end time  : 2022/12/24 02:06:57

Total sieving time: 0hrs 20min 51secs.

Total relation processing time: 0hrs 1min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 23sec.

Prototype def-par.txt line would be:
snfs,145,4,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

119926286416146721172817535135342398686291640213163246405384861001671381822303927827437865735771210763675928876036959<117>

578726753180791191615564214645051542277<39>
207224369284829624107647677774982996372159597754059318631264243369669650037267<78>

Input number is 119926286416146721172817535135342398686291640213163246405384861001671381822303927827437865735771210763675928876036959 (117 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:1695191042
Step 1 took 6953ms
Step 2 took 2531ms
********** Factor found in step 2: 578726753180791191615564214645051542277
Found prime factor of 39 digits: 578726753180791191615564214645051542277
Prime cofactor 207224369284829624107647677774982996372159597754059318631264243369669650037267 has 78 digits

GMP-ECM 7.0.5

2547327566834828143374872967558588789916814356962469806687572313332793149885369531653258109773452165069092256322558836374606353489048849<136>

15170908121841504348804394310467608288264306219034013934671849<62>
167908707005314295530943062928440747081624019450660688795506766204600673001<75>

Number: n
N=2547327566834828143374872967558588789916814356962469806687572313332793149885369531653258109773452165069092256322558836374606353489048849  ( 136 digits)
SNFS difficulty: 152 digits.
Divisors found:

Sun Dec 25 20:26:26 2022  p62 factor: 15170908121841504348804394310467608288264306219034013934671849
Sun Dec 25 20:26:26 2022  p75 factor: 167908707005314295530943062928440747081624019450660688795506766204600673001
Sun Dec 25 20:26:26 2022  elapsed time 00:04:42 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.299).
Factorization parameters were as follows:
#
# N = 77x10^151-32 = 85(150)2
#
n: 2547327566834828143374872967558588789916814356962469806687572313332793149885369531653258109773452165069092256322558836374606353489048849
m: 1000000000000000000000000000000
deg: 5
c5: 385
c0: -16
skew: 0.53
# Murphy_E = 1.316e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1100476 hash collisions in 13730325 relations (13554460 unique)
Msieve: matrix is 294860 x 295090 (99.9 MB)

Sieving start time : 2022/12/25 20:04:47
Sieving end time  : 2022/12/25 20:21:21

Total sieving time: 0hrs 16min 34secs.

Total relation processing time: 0hrs 1min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 14sec.

Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

150562054107895695682190453838419121170256897921278116456207632944702903411870924542910607463786099869514617577554079200836376793912929796105615751<147>

56380798672326826668613124480585681156086342203247811891286908136539<68>
2670449118376811802910504629322848967612416195016011722678708233957916302647109<79>

Number: n
N=150562054107895695682190453838419121170256897921278116456207632944702903411870924542910607463786099869514617577554079200836376793912929796105615751  ( 147 digits)
SNFS difficulty: 156 digits.
Divisors found:

Wed Dec 28 17:03:02 2022  p68 factor: 56380798672326826668613124480585681156086342203247811891286908136539
Wed Dec 28 17:03:02 2022  p79 factor: 2670449118376811802910504629322848967612416195016011722678708233957916302647109
Wed Dec 28 17:03:02 2022  elapsed time 00:19:02 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.785).
Factorization parameters were as follows:
#
# N = 77x10^155-32 = 85(154)2
#
n: 150562054107895695682190453838419121170256897921278116456207632944702903411870924542910607463786099869514617577554079200836376793912929796105615751
m: 10000000000000000000000000000000
deg: 5
c5: 77
c0: -32
skew: 0.84
# Murphy_E = 8.546e-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 1124332 hash collisions in 13034995 relations (12755395 unique)
Msieve: matrix is 364355 x 364584 (121.7 MB)

Sieving start time : 2022/12/28 16:22:11
Sieving end time  : 2022/12/28 16:43:31

Total sieving time: 0hrs 21min 20secs.

Total relation processing time: 0hrs 13min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 32sec.

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) ----------

63787181846449813224094381240534862412005323889570706171509171085770299219723855552025420076029991921504493008511761061<119>

2659423614622242902982404162148618976093<40>
23985340844433482987051366975107135521648762368760701987607798756659056111718377<80>

Number: n
N=63787181846449813224094381240534862412005323889570706171509171085770299219723855552025420076029991921504493008511761061  ( 119 digits)
SNFS difficulty: 160 digits.
Divisors found:

Sun Feb  5 12:35:17 2023  prp40 factor: 2659423614622242902982404162148618976093
Sun Feb  5 12:35:17 2023  prp80 factor: 23985340844433482987051366975107135521648762368760701987607798756659056111718377
Sun Feb  5 12:35:17 2023  elapsed time 00:11:28 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.116).
Factorization parameters were as follows:
#
# N = 77x10^159-32 = 85(158)2
#
n: 63787181846449813224094381240534862412005323889570706171509171085770299219723855552025420076029991921504493008511761061
m: 50000000000000000000000000000000
deg: 5
c5: 77
c0: -10
skew: 0.66
# Murphy_E = 5.39e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 20050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1659965 hash collisions in 16809274 relations (16293505 unique)
Msieve: matrix is 524516 x 524744 (143.8 MB)

Sieving start time: 2023/02/05 10:14:00
Sieving end time  : 2023/02/05 12:23:35

Total sieving time: 2hrs 9min 35secs.

Total relation processing time: 0hrs 7min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 53sec.

Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

178961340944820793578150976242245310102601610550916419796450694122993077727259663280077410165000259693940190355227984624487807239583416079<138>

319018335688210818756296405265446596691920180939<48>
560975094295917708400261285370850301864502611187137711621768502775874967596024229912669261<90>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 178961340944820793578150976242245310102601610550916419796450694122993077727259663280077410165000259693940190355227984624487807239583416079 (138 digits)
Using B1=41010000, B2=192394462276, polynomial Dickson(12), sigma=1:213310758
Step 1 took 81687ms
Step 2 took 27008ms
********** Factor found in step 2: 319018335688210818756296405265446596691920180939
Found prime factor of 48 digits: 319018335688210818756296405265446596691920180939
Prime cofactor 560975094295917708400261285370850301864502611187137711621768502775874967596024229912669261 has 90 digits

72966350117792327078468278248856115057737799040740771064418711771318227896388844161463881618787095334307936343322256093770515863377275375081153743169970583<155>

1234388841387646896391881646604010425392330265468437576410607<61>
59111317010745731861015791866334889454367728471191053750691222707193966876452011135636363454169<95>

Number: n
N=72966350117792327078468278248856115057737799040740771064418711771318227896388844161463881618787095334307936343322256093770515863377275375081153743169970583  ( 155 digits)
SNFS difficulty: 162 digits.
Divisors found:

Wed Dec 28 04:31:29 2022  p61 factor: 1234388841387646896391881646604010425392330265468437576410607
Wed Dec 28 04:31:29 2022  p95 factor: 59111317010745731861015791866334889454367728471191053750691222707193966876452011135636363454169
Wed Dec 28 04:31:29 2022  elapsed time 00:06:15 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.296).
Factorization parameters were as follows:
#
# N = 77x10^161-32 = 85(160)2
#
n: 72966350117792327078468278248856115057737799040740771064418711771318227896388844161463881618787095334307936343322256093770515863377275375081153743169970583
m: 100000000000000000000000000000000
deg: 5
c5: 385
c0: -16
skew: 0.53
# Murphy_E = 5.423e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1149758 hash collisions in 13128943 relations (12830270 unique)
Msieve: matrix is 432006 x 432236 (147.8 MB)

Sieving start time : 2022/12/28 03:59:20
Sieving end time  : 2022/12/28 04:24:56

Total sieving time: 0hrs 25min 36secs.

Total relation processing time: 0hrs 2min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 26sec.

Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

507207229639770450511659644862272858335521561335095590096578810597907294682938925404368134914754353944777983256554243<117>

120973908790164778722809649251935937482738050341<48>
4192699357342800652233367096748434272682895465110439196002849448860423<70>

Number: n
N=507207229639770450511659644862272858335521561335095590096578810597907294682938925404368134914754353944777983256554243  ( 117 digits)
SNFS difficulty: 163 digits.
Divisors found:

Mon Feb  6 03:13:45 2023  prp48 factor: 120973908790164778722809649251935937482738050341
Mon Feb  6 03:13:45 2023  prp70 factor: 4192699357342800652233367096748434272682895465110439196002849448860423
Mon Feb  6 03:13:45 2023  elapsed time 00:15:51 (Msieve 1.44 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.094).
Factorization parameters were as follows:
#
# N = 77x10^162-32 = 85(161)2
#
n: 507207229639770450511659644862272858335521561335095590096578810597907294682938925404368134914754353944777983256554243
m: 100000000000000000000000000000000
deg: 5
c5: 1925
c0: -8
skew: 0.33
# Murphy_E = 4.257e-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, 20250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1623113 hash collisions in 16361780 relations (15835045 unique)
Msieve: matrix is 580729 x 580955 (160.1 MB)

Sieving start time: 2023/02/06 00:29:49
Sieving end time  : 2023/02/06 02:57:40

Total sieving time: 2hrs 27min 51secs.

Total relation processing time: 0hrs 8min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 26sec.

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) ----------

8912037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<163>

23251996548683395693471875134903455984527568228927<50>
383280507477181171514915734429748178861028221754955838220830692379107998278750638603613274795418237438497534878931<114>

Number: n
N=8912037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037  ( 163 digits)
SNFS difficulty: 165 digits.
Divisors found:

Tue Dec 27 09:53:21 2022  p50 factor: 23251996548683395693471875134903455984527568228927
Tue Dec 27 09:53:21 2022  p114 factor: 383280507477181171514915734429748178861028221754955838220830692379107998278750638603613274795418237438497534878931
Tue Dec 27 09:53:21 2022  elapsed time 00:07:34 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.275).
Factorization parameters were as follows:
#
# N = 77x10^164-32 = 85(163)2
#
n: 8912037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
m: 500000000000000000000000000000000
deg: 5
c5: 77
c0: -10
skew: 0.66
# Murphy_E = 3.44e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1327454 hash collisions in 12779623 relations (12223827 unique)
Msieve: matrix is 535602 x 535828 (183.1 MB)

Sieving start time : 2022/12/27 09:08:50
Sieving end time  : 2022/12/27 09:45:29

Total sieving time: 0hrs 36min 39secs.

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

Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

618858327119639801700130369950195131989718467814748255594470485050214856009612913122288604298507273962230225027828239085368217017<129>

11550869192110164804705205719041448535935159161907853<53>
53576775637140080486103232228152446747431862902229869458500621644225530157789<77>

Sun Jan 29 18:11:53 2023  Msieve v. 1.53 (SVN unknown)
Sun Jan 29 18:11:53 2023  random seeds: 664de0c0 a149aee4
Sun Jan 29 18:11:53 2023  factoring 618858327119639801700130369950195131989718467814748255594470485050214856009612913122288604298507273962230225027828239085368217017 (129 digits)
Sun Jan 29 18:11:53 2023  searching for 15-digit factors
Sun Jan 29 18:11:53 2023  commencing number field sieve (129-digit input)
Sun Jan 29 18:11:53 2023  R0: -500000000000000000000000000000000
Sun Jan 29 18:11:53 2023  R1: 1
Sun Jan 29 18:11:53 2023  A0: -1
Sun Jan 29 18:11:53 2023  A1: 0
Sun Jan 29 18:11:53 2023  A2: 0
Sun Jan 29 18:11:53 2023  A3: 0
Sun Jan 29 18:11:53 2023  A4: 0
Sun Jan 29 18:11:53 2023  A5: 77
Sun Jan 29 18:11:53 2023  skew 0.42, size 1.645e-11, alpha 0.961, combined = 4.340e-10 rroots = 1
Sun Jan 29 18:11:53 2023  
Sun Jan 29 18:11:53 2023  commencing relation filtering
Sun Jan 29 18:11:53 2023  estimated available RAM is 15734.8 MB
Sun Jan 29 18:11:53 2023  commencing duplicate removal, pass 1
Sun Jan 29 18:12:59 2023  found 926518 hash collisions in 10767850 relations
Sun Jan 29 18:13:07 2023  added 1548 free relations
Sun Jan 29 18:13:07 2023  commencing duplicate removal, pass 2
Sun Jan 29 18:13:11 2023  found 618114 duplicates and 10151284 unique relations
Sun Jan 29 18:13:11 2023  memory use: 49.3 MB
Sun Jan 29 18:13:11 2023  reading ideals above 720000
Sun Jan 29 18:13:11 2023  commencing singleton removal, initial pass
Sun Jan 29 18:14:09 2023  memory use: 344.5 MB
Sun Jan 29 18:14:09 2023  reading all ideals from disk
Sun Jan 29 18:14:09 2023  memory use: 289.9 MB
Sun Jan 29 18:14:09 2023  commencing in-memory singleton removal
Sun Jan 29 18:14:10 2023  begin with 10151284 relations and 11302758 unique ideals
Sun Jan 29 18:14:15 2023  reduce to 3756339 relations and 3556993 ideals in 21 passes
Sun Jan 29 18:14:15 2023  max relations containing the same ideal: 84
Sun Jan 29 18:14:16 2023  removing 388877 relations and 356590 ideals in 32287 cliques
Sun Jan 29 18:14:16 2023  commencing in-memory singleton removal
Sun Jan 29 18:14:17 2023  begin with 3367462 relations and 3556993 unique ideals
Sun Jan 29 18:14:19 2023  reduce to 3328331 relations and 3160788 ideals in 13 passes
Sun Jan 29 18:14:19 2023  max relations containing the same ideal: 77
Sun Jan 29 18:14:20 2023  removing 283171 relations and 250884 ideals in 32287 cliques
Sun Jan 29 18:14:20 2023  commencing in-memory singleton removal
Sun Jan 29 18:14:20 2023  begin with 3045160 relations and 3160788 unique ideals
Sun Jan 29 18:14:22 2023  reduce to 3022622 relations and 2887095 ideals in 10 passes
Sun Jan 29 18:14:22 2023  max relations containing the same ideal: 71
Sun Jan 29 18:14:23 2023  relations with 0 large ideals: 2919
Sun Jan 29 18:14:23 2023  relations with 1 large ideals: 3068
Sun Jan 29 18:14:23 2023  relations with 2 large ideals: 39910
Sun Jan 29 18:14:23 2023  relations with 3 large ideals: 213524
Sun Jan 29 18:14:23 2023  relations with 4 large ideals: 596391
Sun Jan 29 18:14:23 2023  relations with 5 large ideals: 914438
Sun Jan 29 18:14:23 2023  relations with 6 large ideals: 796955
Sun Jan 29 18:14:23 2023  relations with 7+ large ideals: 455417
Sun Jan 29 18:14:23 2023  commencing 2-way merge
Sun Jan 29 18:14:24 2023  reduce to 1698085 relation sets and 1562559 unique ideals
Sun Jan 29 18:14:24 2023  ignored 1 oversize relation sets
Sun Jan 29 18:14:24 2023  commencing full merge
Sun Jan 29 18:14:42 2023  memory use: 162.0 MB
Sun Jan 29 18:14:42 2023  found 826824 cycles, need 810759
Sun Jan 29 18:14:42 2023  weight of 810759 cycles is about 57057823 (70.38/cycle)
Sun Jan 29 18:14:42 2023  distribution of cycle lengths:
Sun Jan 29 18:14:42 2023  1 relations: 100264
Sun Jan 29 18:14:42 2023  2 relations: 95379
Sun Jan 29 18:14:42 2023  3 relations: 92500
Sun Jan 29 18:14:42 2023  4 relations: 81509
Sun Jan 29 18:14:42 2023  5 relations: 72925
Sun Jan 29 18:14:42 2023  6 relations: 61108
Sun Jan 29 18:14:42 2023  7 relations: 53606
Sun Jan 29 18:14:42 2023  8 relations: 45504
Sun Jan 29 18:14:42 2023  9 relations: 38326
Sun Jan 29 18:14:42 2023  10+ relations: 169638
Sun Jan 29 18:14:42 2023  heaviest cycle: 23 relations
Sun Jan 29 18:14:42 2023  commencing cycle optimization
Sun Jan 29 18:14:43 2023  start with 4960318 relations
Sun Jan 29 18:14:49 2023  pruned 97726 relations
Sun Jan 29 18:14:49 2023  memory use: 168.6 MB
Sun Jan 29 18:14:49 2023  distribution of cycle lengths:
Sun Jan 29 18:14:49 2023  1 relations: 100264
Sun Jan 29 18:14:49 2023  2 relations: 97305
Sun Jan 29 18:14:49 2023  3 relations: 95338
Sun Jan 29 18:14:49 2023  4 relations: 83064
Sun Jan 29 18:14:49 2023  5 relations: 73959
Sun Jan 29 18:14:49 2023  6 relations: 61717
Sun Jan 29 18:14:49 2023  7 relations: 53751
Sun Jan 29 18:14:49 2023  8 relations: 45356
Sun Jan 29 18:14:49 2023  9 relations: 37954
Sun Jan 29 18:14:49 2023  10+ relations: 162051
Sun Jan 29 18:14:49 2023  heaviest cycle: 23 relations
Sun Jan 29 18:14:50 2023  RelProcTime: 177
Sun Jan 29 18:14:50 2023  elapsed time 00:02:57
Sun Jan 29 18:14:50 2023 LatSieveTime: 625.076
Sun Jan 29 18:14:50 2023 -> Running matrix solving step ...
Sun Jan 29 18:14:50 2023 -> msieve-1.53-SVN998-win64-core2 -s c2\c2.dat -l c2\c2.log -i c2\c2.ini -nf c2\c2.fb -t 12 -nc2
Sun Jan 29 18:14:50 2023  
Sun Jan 29 18:14:50 2023  
Sun Jan 29 18:14:50 2023  Msieve v. 1.53 (SVN unknown)
Sun Jan 29 18:14:50 2023  random seeds: 6c4e6138 2543873a
Sun Jan 29 18:14:50 2023  factoring 618858327119639801700130369950195131989718467814748255594470485050214856009612913122288604298507273962230225027828239085368217017 (129 digits)
Sun Jan 29 18:14:50 2023  searching for 15-digit factors
Sun Jan 29 18:14:51 2023  commencing number field sieve (129-digit input)
Sun Jan 29 18:14:51 2023  R0: -500000000000000000000000000000000
Sun Jan 29 18:14:51 2023  R1: 1
Sun Jan 29 18:14:51 2023  A0: -1
Sun Jan 29 18:14:51 2023  A1: 0
Sun Jan 29 18:14:51 2023  A2: 0
Sun Jan 29 18:14:51 2023  A3: 0
Sun Jan 29 18:14:51 2023  A4: 0
Sun Jan 29 18:14:51 2023  A5: 77
Sun Jan 29 18:14:51 2023  skew 0.42, size 1.645e-11, alpha 0.961, combined = 4.340e-10 rroots = 1
Sun Jan 29 18:14:51 2023  
Sun Jan 29 18:14:51 2023  commencing linear algebra
Sun Jan 29 18:14:51 2023  read 810759 cycles
Sun Jan 29 18:14:52 2023  cycles contain 2862198 unique relations
Sun Jan 29 18:15:04 2023  read 2862198 relations
Sun Jan 29 18:15:08 2023  using 20 quadratic characters above 4294917295
Sun Jan 29 18:15:16 2023  building initial matrix
Sun Jan 29 18:15:34 2023  memory use: 343.1 MB
Sun Jan 29 18:15:34 2023  read 810759 cycles
Sun Jan 29 18:15:34 2023  matrix is 810568 x 810759 (244.4 MB) with weight 72383091 (89.28/col)
Sun Jan 29 18:15:34 2023  sparse part has weight 55157817 (68.03/col)
Sun Jan 29 18:15:39 2023  filtering completed in 2 passes
Sun Jan 29 18:15:39 2023  matrix is 806927 x 807115 (244.1 MB) with weight 72243141 (89.51/col)
Sun Jan 29 18:15:39 2023  sparse part has weight 55099722 (68.27/col)
Sun Jan 29 18:15:40 2023  matrix starts at (0, 0)
Sun Jan 29 18:15:41 2023  matrix is 806927 x 807115 (244.1 MB) with weight 72243141 (89.51/col)
Sun Jan 29 18:15:41 2023  sparse part has weight 55099722 (68.27/col)
Sun Jan 29 18:15:41 2023  saving the first 48 matrix rows for later
Sun Jan 29 18:15:41 2023  matrix includes 64 packed rows
Sun Jan 29 18:15:41 2023  matrix is 806879 x 807115 (230.8 MB) with weight 57165402 (70.83/col)
Sun Jan 29 18:15:41 2023  sparse part has weight 52437045 (64.97/col)
Sun Jan 29 18:15:41 2023  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Sun Jan 29 18:15:44 2023  commencing Lanczos iteration (12 threads)
Sun Jan 29 18:15:44 2023  memory use: 182.6 MB
Sun Jan 29 18:15:47 2023  linear algebra at 0.4%, ETA 0h13m
Sun Jan 29 18:25:12 2023  lanczos halted after 12762 iterations (dim = 806877)
Sun Jan 29 18:25:13 2023  recovered 36 nontrivial dependencies
Sun Jan 29 18:25:13 2023  BLanczosTime: 622
Sun Jan 29 18:25:13 2023  elapsed time 00:10:23
Sun Jan 29 18:25:13 2023 -> Running square root step ...
Sun Jan 29 18:25:13 2023 -> msieve-1.53-SVN998-win64-core2 -s c2\c2.dat -l c2\c2.log -i c2\c2.ini -nf c2\c2.fb -t 12 -nc3
Sun Jan 29 18:25:13 2023  
Sun Jan 29 18:25:13 2023  
Sun Jan 29 18:25:13 2023  Msieve v. 1.53 (SVN unknown)
Sun Jan 29 18:25:13 2023  random seeds: 8fb57ec8 2dcb4e44
Sun Jan 29 18:25:13 2023  factoring 618858327119639801700130369950195131989718467814748255594470485050214856009612913122288604298507273962230225027828239085368217017 (129 digits)
Sun Jan 29 18:25:13 2023  searching for 15-digit factors
Sun Jan 29 18:25:13 2023  commencing number field sieve (129-digit input)
Sun Jan 29 18:25:13 2023  R0: -500000000000000000000000000000000
Sun Jan 29 18:25:13 2023  R1: 1
Sun Jan 29 18:25:13 2023  A0: -1
Sun Jan 29 18:25:13 2023  A1: 0
Sun Jan 29 18:25:13 2023  A2: 0
Sun Jan 29 18:25:13 2023  A3: 0
Sun Jan 29 18:25:13 2023  A4: 0
Sun Jan 29 18:25:13 2023  A5: 77
Sun Jan 29 18:25:13 2023  skew 0.42, size 1.645e-11, alpha 0.961, combined = 4.340e-10 rroots = 1
Sun Jan 29 18:25:13 2023  
Sun Jan 29 18:25:13 2023  commencing square root phase
Sun Jan 29 18:25:13 2023  reading relations for dependency 1
Sun Jan 29 18:25:13 2023  read 403139 cycles
Sun Jan 29 18:25:14 2023  cycles contain 1429574 unique relations
Sun Jan 29 18:25:21 2023  read 1429574 relations
Sun Jan 29 18:25:25 2023  multiplying 1429574 relations
Sun Jan 29 18:25:50 2023  multiply complete, coefficients have about 38.90 million bits
Sun Jan 29 18:25:50 2023  initial square root is modulo 384301
Sun Jan 29 18:26:20 2023  GCD is N, no factor found
Sun Jan 29 18:26:20 2023  reading relations for dependency 2
Sun Jan 29 18:26:20 2023  read 404200 cycles
Sun Jan 29 18:26:21 2023  cycles contain 1432524 unique relations
Sun Jan 29 18:26:27 2023  read 1432524 relations
Sun Jan 29 18:26:31 2023  multiplying 1432524 relations
Sun Jan 29 18:26:56 2023  multiply complete, coefficients have about 38.97 million bits
Sun Jan 29 18:26:56 2023  initial square root is modulo 394411
Sun Jan 29 18:27:26 2023  sqrtTime: 133
Sun Jan 29 18:27:26 2023  p53 factor: 11550869192110164804705205719041448535935159161907853
Sun Jan 29 18:27:26 2023  p77 factor: 53576775637140080486103232228152446747431862902229869458500621644225530157789
Sun Jan 29 18:27:26 2023  elapsed time 00:02:13
Sun Jan 29 18:27:26 2023 -> Computing time scale for this machine...
Sun Jan 29 18:27:26 2023 -> procrels -speedtest> PIPE

GGNFS snfs

11680986045720080824716928070953704330307762293193924936976880571543921472771602250094728492759713434851820588085356695665211338284222868748036939<146>

7608656647752882071919966103521114400960003726870941334981934406507409<70>
1535223178873488574828457397183752131269258328511457763253099133305357030171<76>

Number: n
N=11680986045720080824716928070953704330307762293193924936976880571543921472771602250094728492759713434851820588085356695665211338284222868748036939  ( 146 digits)
SNFS difficulty: 167 digits.
Divisors found:

Tue Jan  3 04:16:15 2023  p70 factor: 7608656647752882071919966103521114400960003726870941334981934406507409
Tue Jan  3 04:16:15 2023  p76 factor: 1535223178873488574828457397183752131269258328511457763253099133305357030171
Tue Jan  3 04:16:15 2023  elapsed time 00:08:17 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 77x10^166-32 = 85(165)2
#
n: 11680986045720080824716928070953704330307762293193924936976880571543921472771602250094728492759713434851820588085356695665211338284222868748036939
m: 1000000000000000000000000000000000
deg: 5
c5: 385
c0: -16
skew: 0.53
# Murphy_E = 3.455e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1236830 hash collisions in 12674935 relations (12221361 unique)
Msieve: matrix is 524324 x 524552 (180.7 MB)

Sieving start time : 2023/01/03 03:32:31
Sieving end time  : 2023/01/03 04:07:38

Total sieving time: 0hrs 35min 7secs.

Total relation processing time: 0hrs 3min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 35sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

225531545531370993134812652854029110811923773218622916187641871589355997068869792553078074665178284343146353<108>

7466831257625549343910603054037083<34>
30204451895313082748632976509211726127770205576179705064150143119896934691<74>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4017952384
Step 1 took 3484ms
Step 2 took 2016ms
********** Factor found in step 2: 7466831257625549343910603054037083
Found prime factor of 34 digits: 7466831257625549343910603054037083
Prime cofactor 30204451895313082748632976509211726127770205576179705064150143119896934691 has 74 digits

GMP-ECM

448827577687150003990098465946393243147697190541594372466727245226222863642447324520453666516905244554510441083421815463894715702194286010841435353882625837<156>

15057895901469999910941737305063755766857106198657325207768663<62>
29806792437935104981093342042247067082245980941308897109209697705555621725664244975570589801499<95>

Number: n
N=448827577687150003990098465946393243147697190541594372466727245226222863642447324520453666516905244554510441083421815463894715702194286010841435353882625837  ( 156 digits)
SNFS difficulty: 170 digits.
Divisors found:

Wed Dec 28 05:36:41 2022  p62 factor: 15057895901469999910941737305063755766857106198657325207768663
Wed Dec 28 05:36:41 2022  p95 factor: 29806792437935104981093342042247067082245980941308897109209697705555621725664244975570589801499
Wed Dec 28 05:36:41 2022  elapsed time 00:10:21 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 77x10^169-32 = 85(168)2
#
n: 448827577687150003990098465946393243147697190541594372466727245226222863642447324520453666516905244554510441083421815463894715702194286010841435353882625837
m: 5000000000000000000000000000000000
deg: 5
c5: 77
c0: -10
skew: 0.66
# Murphy_E = 2.185e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1502744 hash collisions in 13336788 relations (12616453 unique)
Msieve: matrix is 679822 x 680048 (234.1 MB)

Sieving start time : 2022/12/28 04:37:55
Sieving end time  : 2022/12/28 05:26:01

Total sieving time: 0hrs 48min 6secs.

Total relation processing time: 0hrs 6min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 43sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

23216953211016768591033390595523134463622936832246298018324447454831163043691259770631291114588196645883404171<110>

4304980224622802242283653849116579243417811912811197<52>
5393045263767968451420570434812156173375005299387265799143<58>

-> makeJobFile(): Adjusted to q0=1600000, q1=1700000.
->               client 1 q0: 1600000
      LatSieveTime: 91
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-> makeJobFile(): Adjusted to q0=1700001, q1=1800000.
->               client 1 q0: 1700001
      LatSieveTime: 94
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-> makeJobFile(): Adjusted to q0=1800001, q1=1900000.
->               client 1 q0: 1800001
      LatSieveTime: 94
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-> makeJobFile(): Adjusted to q0=1900001, q1=2000000.
->               client 1 q0: 1900001
      LatSieveTime: 89
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-> makeJobFile(): Adjusted to q0=2000001, q1=2100000.
->               client 1 q0: 2000001
      LatSieveTime: 86
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-> makeJobFile(): Adjusted to q0=2100001, q1=2200000.
->               client 1 q0: 2100001
      LatSieveTime: 94
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Sun Dec 25 11:47:52 2022  
Sun Dec 25 11:47:52 2022  
Sun Dec 25 11:47:52 2022  Msieve v. 1.52 (SVN 927)
Sun Dec 25 11:47:52 2022  random seeds: 52e2a720 936098b1
Sun Dec 25 11:47:52 2022  factoring 23216953211016768591033390595523134463622936832246298018324447454831163043691259770631291114588196645883404171 (110 digits)
Sun Dec 25 11:47:52 2022  searching for 15-digit factors
Sun Dec 25 11:47:52 2022  commencing number field sieve (110-digit input)
Sun Dec 25 11:47:52 2022  R0: -1093932221256403167875
Sun Dec 25 11:47:52 2022  R1: 85941220981
Sun Dec 25 11:47:52 2022  A0: 90754280407419016694278896
Sun Dec 25 11:47:52 2022  A1: 9937037345430884067249
Sun Dec 25 11:47:52 2022  A2: -1321216456955651154
Sun Dec 25 11:47:52 2022  A3: -24276654218398
Sun Dec 25 11:47:52 2022  A4: 2150200864
Sun Dec 25 11:47:52 2022  A5: 14820
Sun Dec 25 11:47:52 2022  skew 25341.01, size 1.378e-010, alpha -5.434, combined = 9.048e-010 rroots = 5
Sun Dec 25 11:47:52 2022  
Sun Dec 25 11:47:52 2022  commencing relation filtering
Sun Dec 25 11:47:52 2022  estimated available RAM is 65413.5 MB
Sun Dec 25 11:47:52 2022  commencing duplicate removal, pass 1
Sun Dec 25 11:48:04 2022  found 505417 hash collisions in 6371941 relations
Sun Dec 25 11:48:12 2022  added 56546 free relations
Sun Dec 25 11:48:12 2022  commencing duplicate removal, pass 2
Sun Dec 25 11:48:13 2022  found 268836 duplicates and 6159651 unique relations
Sun Dec 25 11:48:13 2022  memory use: 24.6 MB
Sun Dec 25 11:48:13 2022  reading ideals above 100000
Sun Dec 25 11:48:13 2022  commencing singleton removal, initial pass
Sun Dec 25 11:48:35 2022  memory use: 188.3 MB
Sun Dec 25 11:48:35 2022  reading all ideals from disk
Sun Dec 25 11:48:35 2022  memory use: 206.2 MB
Sun Dec 25 11:48:35 2022  keeping 7334481 ideals with weight <= 200, target excess is 34077
Sun Dec 25 11:48:35 2022  commencing in-memory singleton removal
Sun Dec 25 11:48:36 2022  begin with 6159651 relations and 7334481 unique ideals
Sun Dec 25 11:48:38 2022  reduce to 1251014 relations and 1336218 ideals in 35 passes
Sun Dec 25 11:48:38 2022  max relations containing the same ideal: 70
Sun Dec 25 11:48:38 2022  filtering wants 1000000 more relations
Sun Dec 25 11:48:38 2022  elapsed time 00:00:46
-> makeJobFile(): Adjusted to q0=2200001, q1=2300000.
->               client 1 q0: 2200001
      LatSieveTime: 95
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Sun Dec 25 11:50:50 2022  
Sun Dec 25 11:50:50 2022  
Sun Dec 25 11:50:50 2022  Msieve v. 1.52 (SVN 927)
Sun Dec 25 11:50:50 2022  random seeds: deaa1884 3d74dce4
Sun Dec 25 11:50:50 2022  factoring 23216953211016768591033390595523134463622936832246298018324447454831163043691259770631291114588196645883404171 (110 digits)
Sun Dec 25 11:50:50 2022  searching for 15-digit factors
Sun Dec 25 11:50:50 2022  commencing number field sieve (110-digit input)
Sun Dec 25 11:50:50 2022  R0: -1093932221256403167875
Sun Dec 25 11:50:50 2022  R1: 85941220981
Sun Dec 25 11:50:50 2022  A0: 90754280407419016694278896
Sun Dec 25 11:50:50 2022  A1: 9937037345430884067249
Sun Dec 25 11:50:50 2022  A2: -1321216456955651154
Sun Dec 25 11:50:50 2022  A3: -24276654218398
Sun Dec 25 11:50:50 2022  A4: 2150200864
Sun Dec 25 11:50:50 2022  A5: 14820
Sun Dec 25 11:50:50 2022  skew 25341.01, size 1.378e-010, alpha -5.434, combined = 9.048e-010 rroots = 5
Sun Dec 25 11:50:50 2022  
Sun Dec 25 11:50:50 2022  commencing relation filtering
Sun Dec 25 11:50:50 2022  estimated available RAM is 65413.5 MB
Sun Dec 25 11:50:50 2022  commencing duplicate removal, pass 1
Sun Dec 25 11:51:04 2022  found 673965 hash collisions in 7497796 relations
Sun Dec 25 11:51:12 2022  added 1641 free relations
Sun Dec 25 11:51:12 2022  commencing duplicate removal, pass 2
Sun Dec 25 11:51:14 2022  found 357962 duplicates and 7141475 unique relations
Sun Dec 25 11:51:14 2022  memory use: 24.6 MB
Sun Dec 25 11:51:14 2022  reading ideals above 100000
Sun Dec 25 11:51:14 2022  commencing singleton removal, initial pass
Sun Dec 25 11:51:40 2022  memory use: 188.3 MB
Sun Dec 25 11:51:40 2022  reading all ideals from disk
Sun Dec 25 11:51:40 2022  memory use: 239.3 MB
Sun Dec 25 11:51:40 2022  keeping 7884806 ideals with weight <= 200, target excess is 40551
Sun Dec 25 11:51:40 2022  commencing in-memory singleton removal
Sun Dec 25 11:51:41 2022  begin with 7141475 relations and 7884806 unique ideals
Sun Dec 25 11:51:43 2022  reduce to 2329171 relations and 2148873 ideals in 17 passes
Sun Dec 25 11:51:43 2022  max relations containing the same ideal: 92
Sun Dec 25 11:51:43 2022  removing 447855 relations and 381226 ideals in 66629 cliques
Sun Dec 25 11:51:43 2022  commencing in-memory singleton removal
Sun Dec 25 11:51:43 2022  begin with 1881316 relations and 2148873 unique ideals
Sun Dec 25 11:51:44 2022  reduce to 1810605 relations and 1694281 ideals in 9 passes
Sun Dec 25 11:51:44 2022  max relations containing the same ideal: 80
Sun Dec 25 11:51:44 2022  removing 345866 relations and 279237 ideals in 66629 cliques
Sun Dec 25 11:51:44 2022  commencing in-memory singleton removal
Sun Dec 25 11:51:44 2022  begin with 1464739 relations and 1694281 unique ideals
Sun Dec 25 11:51:44 2022  reduce to 1409027 relations and 1357258 ideals in 9 passes
Sun Dec 25 11:51:44 2022  max relations containing the same ideal: 69
Sun Dec 25 11:51:45 2022  relations with 0 large ideals: 170
Sun Dec 25 11:51:45 2022  relations with 1 large ideals: 866
Sun Dec 25 11:51:45 2022  relations with 2 large ideals: 9232
Sun Dec 25 11:51:45 2022  relations with 3 large ideals: 55986
Sun Dec 25 11:51:45 2022  relations with 4 large ideals: 187735
Sun Dec 25 11:51:45 2022  relations with 5 large ideals: 362312
Sun Dec 25 11:51:45 2022  relations with 6 large ideals: 408636
Sun Dec 25 11:51:45 2022  relations with 7+ large ideals: 384090
Sun Dec 25 11:51:45 2022  commencing 2-way merge
Sun Dec 25 11:51:45 2022  reduce to 793904 relation sets and 742135 unique ideals
Sun Dec 25 11:51:45 2022  commencing full merge
Sun Dec 25 11:51:53 2022  memory use: 83.8 MB
Sun Dec 25 11:51:53 2022  found 392454 cycles, need 382335
Sun Dec 25 11:51:53 2022  weight of 382335 cycles is about 26835488 (70.19/cycle)
Sun Dec 25 11:51:53 2022  distribution of cycle lengths:
Sun Dec 25 11:51:53 2022  1 relations: 40049
Sun Dec 25 11:51:53 2022  2 relations: 40355
Sun Dec 25 11:51:53 2022  3 relations: 41839
Sun Dec 25 11:51:53 2022  4 relations: 39107
Sun Dec 25 11:51:53 2022  5 relations: 36578
Sun Dec 25 11:51:53 2022  6 relations: 32063
Sun Dec 25 11:51:53 2022  7 relations: 28343
Sun Dec 25 11:51:53 2022  8 relations: 24886
Sun Dec 25 11:51:53 2022  9 relations: 21627
Sun Dec 25 11:51:53 2022  10+ relations: 77488
Sun Dec 25 11:51:53 2022  heaviest cycle: 19 relations
Sun Dec 25 11:51:53 2022  commencing cycle optimization
Sun Dec 25 11:51:53 2022  start with 2335087 relations
Sun Dec 25 11:51:55 2022  pruned 48932 relations
Sun Dec 25 11:51:55 2022  memory use: 79.1 MB
Sun Dec 25 11:51:55 2022  distribution of cycle lengths:
Sun Dec 25 11:51:55 2022  1 relations: 40049
Sun Dec 25 11:51:55 2022  2 relations: 41198
Sun Dec 25 11:51:55 2022  3 relations: 43124
Sun Dec 25 11:51:55 2022  4 relations: 39911
Sun Dec 25 11:51:55 2022  5 relations: 37414
Sun Dec 25 11:51:55 2022  6 relations: 32519
Sun Dec 25 11:51:55 2022  7 relations: 28617
Sun Dec 25 11:51:55 2022  8 relations: 24987
Sun Dec 25 11:51:55 2022  9 relations: 21609
Sun Dec 25 11:51:55 2022  10+ relations: 72907
Sun Dec 25 11:51:55 2022  heaviest cycle: 19 relations
Sun Dec 25 11:51:56 2022  RelProcTime: 66
Sun Dec 25 11:51:56 2022  elapsed time 00:01:06
Sun Dec 25 11:51:56 2022  
Sun Dec 25 11:51:56 2022  
Sun Dec 25 11:51:56 2022  Msieve v. 1.52 (SVN 927)
Sun Dec 25 11:51:56 2022  random seeds: ce42102c 9c611cd6
Sun Dec 25 11:51:56 2022  factoring 23216953211016768591033390595523134463622936832246298018324447454831163043691259770631291114588196645883404171 (110 digits)
Sun Dec 25 11:51:57 2022  searching for 15-digit factors
Sun Dec 25 11:51:57 2022  commencing number field sieve (110-digit input)
Sun Dec 25 11:51:57 2022  R0: -1093932221256403167875
Sun Dec 25 11:51:57 2022  R1: 85941220981
Sun Dec 25 11:51:57 2022  A0: 90754280407419016694278896
Sun Dec 25 11:51:57 2022  A1: 9937037345430884067249
Sun Dec 25 11:51:57 2022  A2: -1321216456955651154
Sun Dec 25 11:51:57 2022  A3: -24276654218398
Sun Dec 25 11:51:57 2022  A4: 2150200864
Sun Dec 25 11:51:57 2022  A5: 14820
Sun Dec 25 11:51:57 2022  skew 25341.01, size 1.378e-010, alpha -5.434, combined = 9.048e-010 rroots = 5
Sun Dec 25 11:51:57 2022  
Sun Dec 25 11:51:57 2022  commencing linear algebra
Sun Dec 25 11:51:57 2022  read 382335 cycles
Sun Dec 25 11:51:57 2022  cycles contain 1330715 unique relations
Sun Dec 25 11:52:00 2022  read 1330715 relations
Sun Dec 25 11:52:01 2022  using 20 quadratic characters above 134217542
Sun Dec 25 11:52:04 2022  building initial matrix
Sun Dec 25 11:52:10 2022  memory use: 167.9 MB
Sun Dec 25 11:52:10 2022  read 382335 cycles
Sun Dec 25 11:52:11 2022  matrix is 382148 x 382335 (114.3 MB) with weight 36372894 (95.13/col)
Sun Dec 25 11:52:11 2022  sparse part has weight 25751763 (67.35/col)
Sun Dec 25 11:52:12 2022  filtering completed in 2 passes
Sun Dec 25 11:52:12 2022  matrix is 381043 x 381230 (114.1 MB) with weight 36318696 (95.27/col)
Sun Dec 25 11:52:12 2022  sparse part has weight 25729362 (67.49/col)
Sun Dec 25 11:52:13 2022  matrix starts at (0, 0)
Sun Dec 25 11:52:13 2022  matrix is 381043 x 381230 (114.1 MB) with weight 36318696 (95.27/col)
Sun Dec 25 11:52:13 2022  sparse part has weight 25729362 (67.49/col)
Sun Dec 25 11:52:13 2022  saving the first 48 matrix rows for later
Sun Dec 25 11:52:13 2022  matrix includes 64 packed rows
Sun Dec 25 11:52:13 2022  matrix is 380995 x 381230 (110.4 MB) with weight 28933165 (75.89/col)
Sun Dec 25 11:52:13 2022  sparse part has weight 25128262 (65.91/col)
Sun Dec 25 11:52:13 2022  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Sun Dec 25 11:52:14 2022  commencing Lanczos iteration (32 threads)
Sun Dec 25 11:52:14 2022  memory use: 85.3 MB
Sun Dec 25 11:52:19 2022  linear algebra at 3.2%, ETA 0h 2m
Sun Dec 25 11:54:49 2022  lanczos halted after 6026 iterations (dim = 380995)
Sun Dec 25 11:54:49 2022  recovered 33 nontrivial dependencies
Sun Dec 25 11:54:49 2022  BLanczosTime: 172
Sun Dec 25 11:54:49 2022  elapsed time 00:02:53
Sun Dec 25 11:54:49 2022  
Sun Dec 25 11:54:49 2022  
Sun Dec 25 11:54:49 2022  Msieve v. 1.52 (SVN 927)
Sun Dec 25 11:54:49 2022  random seeds: ce853d50 436fe3a2
Sun Dec 25 11:54:49 2022  factoring 23216953211016768591033390595523134463622936832246298018324447454831163043691259770631291114588196645883404171 (110 digits)
Sun Dec 25 11:54:49 2022  searching for 15-digit factors
Sun Dec 25 11:54:50 2022  commencing number field sieve (110-digit input)
Sun Dec 25 11:54:50 2022  R0: -1093932221256403167875
Sun Dec 25 11:54:50 2022  R1: 85941220981
Sun Dec 25 11:54:50 2022  A0: 90754280407419016694278896
Sun Dec 25 11:54:50 2022  A1: 9937037345430884067249
Sun Dec 25 11:54:50 2022  A2: -1321216456955651154
Sun Dec 25 11:54:50 2022  A3: -24276654218398
Sun Dec 25 11:54:50 2022  A4: 2150200864
Sun Dec 25 11:54:50 2022  A5: 14820
Sun Dec 25 11:54:50 2022  skew 25341.01, size 1.378e-010, alpha -5.434, combined = 9.048e-010 rroots = 5
Sun Dec 25 11:54:50 2022  
Sun Dec 25 11:54:50 2022  commencing square root phase
Sun Dec 25 11:54:50 2022  reading relations for dependency 1
Sun Dec 25 11:54:50 2022  read 190745 cycles
Sun Dec 25 11:54:50 2022  cycles contain 666796 unique relations
Sun Dec 25 11:54:52 2022  read 666796 relations
Sun Dec 25 11:54:53 2022  multiplying 666796 relations
Sun Dec 25 11:55:06 2022  multiply complete, coefficients have about 29.22 million bits
Sun Dec 25 11:55:06 2022  initial square root is modulo 245583463
Sun Dec 25 11:55:22 2022  sqrtTime: 32
Sun Dec 25 11:55:22 2022  prp52 factor: 4304980224622802242283653849116579243417811912811197
Sun Dec 25 11:55:22 2022  prp58 factor: 5393045263767968451420570434812156173375005299387265799143
Sun Dec 25 11:55:22 2022  elapsed time 00:00:33

GNFS, Msieve

8889427459815767551478696585638204496163390160024925906571325707235654039055509010790449023879225391328140579962679758210809306394935010117154829377053420569248064893<166>

512854383908782777218474283423174293906626295826918848667968261431729074736451359<81>
17333238710106955912116933820207921147537010919375440019354195160863925092601961849827<86>

Number: n
N=8889427459815767551478696585638204496163390160024925906571325707235654039055509010790449023879225391328140579962679758210809306394935010117154829377053420569248064893  ( 166 digits)
SNFS difficulty: 176 digits.
Divisors found:

Wed Dec 28 07:19:19 2022  p81 factor: 512854383908782777218474283423174293906626295826918848667968261431729074736451359
Wed Dec 28 07:19:19 2022  p86 factor: 17333238710106955912116933820207921147537010919375440019354195160863925092601961849827
Wed Dec 28 07:19:19 2022  elapsed time 00:12:29 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.287).
Factorization parameters were as follows:
#
# N = 77x10^175-32 = 85(174)2
#
n: 8889427459815767551478696585638204496163390160024925906571325707235654039055509010790449023879225391328140579962679758210809306394935010117154829377053420569248064893
m: 100000000000000000000000000000000000
deg: 5
c5: 77
c0: -32
skew: 0.84
# Murphy_E = 1.398e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 15900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1534509 hash collisions in 12176718 relations (11305072 unique)
Msieve: matrix is 781002 x 781227 (270.5 MB)

Sieving start time : 2022/12/28 05:59:04
Sieving end time  : 2022/12/28 07:06:22

Total sieving time: 1hrs 7min 18secs.

Total relation processing time: 0hrs 8min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 52sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

930370427056598385995125375623745235844464720110686143685550111162485727248320490925328436392617405444481857228887688015807205662749840223248905516108651161843784761<165>

218618355404014456711070241741510609437<39>
6333079999791931372867539882179791912291365390823568629<55>
671976832585338149724722662673929427567513711379096926016527365415336057<72>

Number: n
N=4255683038769736032237796300966361370124495300712960703187529315349927186536424166815955812424262414698028759904957562037755853  ( 127 digits)
Divisors found:

Thu Jan  5 11:36:09 2023  p55 factor: 6333079999791931372867539882179791912291365390823568629
Thu Jan  5 11:36:09 2023  p72 factor: 671976832585338149724722662673929427567513711379096926016527365415336057
Thu Jan  5 11:36:09 2023  elapsed time 00:11:47 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 77x10^176-32 = 85(175)2
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 930370427056598385995125375623745235844464720110686143685550111162485727248320490925328436392617405444481857228887688015807205662749840223248905516108651161843784761 (165 digits)
# Using B1=25050000, B2=96190324246, polynomial Dickson(12), sigma=1:2194217262
# Step 1 took 60237ms
# Step 2 took 20263ms
# ********** Factor found in step 2: 218618355404014456711070241741510609437
# Found prime factor of 39 digits: 218618355404014456711070241741510609437
# Composite cofactor 4255683038769736032237796300966361370124495300712960703187529315349927186536424166815955812424262414698028759904957562037755853 has 127 digits
#

n: 4255683038769736032237796300966361370124495300712960703187529315349927186536424166815955812424262414698028759904957562037755853

Y0: -8127485337915450582483407
Y1: 48723573025361
c0: -44418071223331553532946706103600
c1: 489004492080740821292787102
c2: -833836287444875509123
c3: -1817786261338870
c4: 325180176
c5: 120

skew 1228778.46, size 3.447e-12, alpha -6.221, combined = 1.224e-10 rroots = 5

skew: 1228778.46
  
type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved  special-q in [100000, 21236713)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1043767 hash collisions in 6601940 relations (5700698 unique)
Msieve: matrix is 781105 x 781330 (280.3 MB)

Sieving start time : 2023/01/05 09:00:47
Sieving end time  : 2023/01/05 11:24:08

Total sieving time: 2hrs 23min 21secs.

Total relation processing time: 0hrs 8min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 8sec.

Prototype def-par.txt line would be:
gnfs,126,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,26,26,50,50,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

181929926595762804019198844552869555351827072523236520751557629742921078890341609326229536671963893124450032427647<114>

20111057133207051230487998154626118517483151<44>
9046263724016927041158050657932863684944455977251443909374825101262097<70>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:779751468
Step 1 took 3468ms
********** Factor found in step 1: 20111057133207051230487998154626118517483151
Found prime factor of 44 digits: 20111057133207051230487998154626118517483151
Prime cofactor 9046263724016927041158050657932863684944455977251443909374825101262097 has 70 digits

GMP-ECM

21494938698730394019247394138749951683820913941850623147661500521152626026610467998324214299969879025140898618335320122353908230217216912586945231<146>

9369292094290711435336451565019574497266643<43>
2294190263512927327336096496956727916250655501140862446711783082182156650201957396876223865765853236117<103>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 21494938698730394019247394138749951683820913941850623147661500521152626026610467998324214299969879025140898618335320122353908230217216912586945231 (146 digits)
Using B1=33180000, B2=144292738606, polynomial Dickson(12), sigma=1:3780300193
Step 1 took 64931ms
Step 2 took 22546ms
********** Factor found in step 2: 9369292094290711435336451565019574497266643
Found prime factor of 43 digits: 9369292094290711435336451565019574497266643
Prime cofactor 2294190263512927327336096496956727916250655501140862446711783082182156650201957396876223865765853236117 has 103 digits

158803425542202712114216572926790288680381565928156386451600906318923331527517383695059651727034941278572188526916593317359090711725445970872245143<147>

844242082742471482201070776085082721375373<42>
188101764634071529404904183629143202205032789472363227466091025810223894149581341328996621761984999469491<105>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 158803425542202712114216572926790288680381565928156386451600906318923331527517383695059651727034941278572188526916593317359090711725445970872245143 (147 digits)
Using B1=28120000, B2=144287213086, polynomial Dickson(12), sigma=1:489873641
Step 1 took 55789ms
Step 2 took 22573ms
********** Factor found in step 2: 844242082742471482201070776085082721375373
Found prime factor of 42 digits: 844242082742471482201070776085082721375373
Prime cofactor 188101764634071529404904183629143202205032789472363227466091025810223894149581341328996621761984999469491 has 105 digits

8912037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<181>

12010050737267453787196542456085447<35>
41369132377212000723980363121588669071<38>
1163781936759764299936807638980064727189<40>
15412891307871959871076522855184439831905661967670452461612578455593809<71>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 8912037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037 (181 digits)
Using B1=25030000, B2=96190324246, polynomial Dickson(12), sigma=1:2399036309
Step 1 took 52987ms
Step 2 took 18155ms
********** Factor found in step 2: 12010050737267453787196542456085447
Found prime factor of 35 digits: 12010050737267453787196542456085447
Composite cofactor 742048242092998697080086094334212122683580645711197959171610130752508401800921783452757713830198074298718073968942420633997676631920064063607244971 has 147 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 742048242092998697080086094334212122683580645711197959171610130752508401800921783452757713830198074298718073968942420633997676631920064063607244971 (147 digits)
Using B1=40090000, B2=192393771586, polynomial Dickson(12), sigma=1:462150221
Step 1 took 82352ms
Step 2 took 28222ms
********** Factor found in step 2: 1163781936759764299936807638980064727189
Found prime factor of 40 digits: 1163781936759764299936807638980064727189
Composite cofactor 637617940830935314188896028812378520645546382839479585944191449439057205106031341294634353220886911297381439 has 108 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 637617940830935314188896028812378520645546382839479585944191449439057205106031341294634353220886911297381439 (108 digits)
Using B1=50250000, B2=288591693406, polynomial Dickson(12), sigma=1:3642349052
Step 1 took 66060ms
Step 2 took 26595ms
********** Factor found in step 2: 41369132377212000723980363121588669071
Found prime factor of 38 digits: 41369132377212000723980363121588669071
Prime cofactor 15412891307871959871076522855184439831905661967670452461612578455593809 has 71 digits

2673611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<184>

145920982999780131481953586014694061777909646610049<51>
18322321136742476664282183233010072752088435586974847082154187457682947962815569739296357385380404428579083165643613870207348130720839<134>

Number: 85552_184
N = 2673611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (184 digits)
SNFS difficulty: 186 digits.
Divisors found:
r1=145920982999780131481953586014694061777909646610049 (pp51)
r2=18322321136742476664282183233010072752088435586974847082154187457682947962815569739296357385380404428579083165643613870207348130720839 (pp134)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 17.38 hours.
Factorization parameters were as follows:
n: 2673611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 5000000000000000000000000000000000000
deg: 5
c5: 77
c0: -10
skew: 0.66
# Murphy_E = 5.448e-11
type: snfs
lss: 1
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8600000/8600000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21297394
Relations: 3087868 relations
Pruned matrix : 1835180 x 1835406
Total sieving time: 15.48 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.68 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,186,5,0,0,0,0,0,0,0,0,8600000,8600000,28,28,54,54,2.5,2.5,100000
total time: 17.38 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 2.29GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

166693349696652630494954265783971114551181107039980887939040635967385404743153042701708621392255928574411114126888587129597385296346284532492737996721562220619<159>

51877565217124105307165884122230473495687468408391399<53>
3213206884305151187673751337122155487874205276242958326520318203678809081864772174449611419910917138262781<106>

Number: n
N=166693349696652630494954265783971114551181107039980887939040635967385404743153042701708621392255928574411114126888587129597385296346284532492737996721562220619  ( 159 digits)
SNFS difficulty: 187 digits.
Divisors found:

Mon Jan 16 19:44:08 2023  prp53 factor: 51877565217124105307165884122230473495687468408391399
Mon Jan 16 19:44:08 2023  prp106 factor: 3213206884305151187673751337122155487874205276242958326520318203678809081864772174449611419910917138262781
Mon Jan 16 19:44:08 2023  elapsed time 01:02:22 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
#
# N = 77x10^186-32 = 85(185)2
#
n: 166693349696652630494954265783971114551181107039980887939040635967385404743153042701708621392255928574411114126888587129597385296346284532492737996721562220619
m: 10000000000000000000000000000000000000
deg: 5
c5: 385
c0: -16
skew: 0.53
# Murphy_E = 5.437e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 22950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1146746 hash collisions in 13101138 relations (12807366 unique)
Msieve: matrix is 1408060 x 1408285 (401.3 MB)

Sieving start time: 2023/01/16 08:51:26
Sieving end time  : 2023/01/16 18:41:34

Total sieving time: 9hrs 50min 8secs.

Total relation processing time: 0hrs 55min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 13sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9100000,9100000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2673611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<187>

641662538184646465610038366397629912808500073<45>
4166693475163958983751172190899789824861776396344638368006722105094306823255376531374130574907297997503389889967227395943931337367945448652207<142>

Number: n
N=2673611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111  ( 187 digits)
SNFS difficulty: 188 digits.
Divisors found:

Thu Jan 12 19:17:37 2023  prp45 factor: 641662538184646465610038366397629912808500073
Thu Jan 12 19:17:37 2023  prp142 factor: 4166693475163958983751172190899789824861776396344638368006722105094306823255376531374130574907297997503389889967227395943931337367945448652207
Thu Jan 12 19:17:37 2023  elapsed time 01:41:28 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.097).
Factorization parameters were as follows:
#
# N = 77x10^187-32 = 85(186)2
#
n: 2673611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 10000000000000000000000000000000000000
deg: 5
c5: 1925
c0: -8
skew: 0.33
# Murphy_E = 4.258e-11
type: snfs
lss: 1
rlim: 9200000
alim: 9200000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 30222587)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1052040 hash collisions in 11985825 relations (11699597 unique)
Msieve: matrix is 1795285 x 1795512 (513.4 MB)

Sieving start time: 2023/01/12 06:05:46
Sieving end time  : 2023/01/12 17:35:58

Total sieving time: 11hrs 30min 12secs.

Total relation processing time: 1hrs 35min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 51sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9200000,9200000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

627521445169289013112189074760417933199237397415094132672822918622545035857368530385304953585464808207723751944491240450855190877205097<135>

33669064301067088269513942084070169594931481<44>
18637923512160113804061520213314004590616285682187533060864093366590792162770630603153616337<92>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 627521445169289013112189074760417933199237397415094132672822918622545035857368530385304953585464808207723751944491240450855190877205097 (135 digits)
Using B1=50200000, B2=288591693406, polynomial Dickson(12), sigma=1:3222990900
Step 1 took 86747ms
Step 2 took 28725ms
********** Factor found in step 2: 33669064301067088269513942084070169594931481
Found prime factor of 44 digits: 33669064301067088269513942084070169594931481
Prime cofactor 18637923512160113804061520213314004590616285682187533060864093366590792162770630603153616337 has 92 digits

130570293944851119150953182633173108145324063877299404175357904063102801036160855472663781636199355567108555028111782585043248392385075782069797<144>

28334144915303685869610867833853926728453677339546965069<56>
4608231317202312841210389613994923255760260376421747106304696218681733244065434684493113<88>

130570293944851119150953182633173108145324063877299404175357904063102801036160855472663781636199355567108555028111782585043248392385075782069797=28334144915303685869610867833853926728453677339546965069*4608231317202312841210389613994923255760260376421747106304696218681733244065434684493113

cado polynomial
n: 130570293944851119150953182633173108145324063877299404175357904063102801036160855472663781636199355567108555028111782585043248392385075782069797
skew: 0.66
type: snfs
c0: -10
c5: 77
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 77*x^5-10
# g(x) = -x+50000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10400000
tasks.lim1 = 10400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4608231317202312841210389613994923255760260376421747106304696218681733244065434684493113 28334144915303685869610867833853926728453677339546965069
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1049.79/327.168
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Factor Base: Total cpu/real time for makefb: 4.35/2.21554
Info:Generate Free Relations: Total cpu/real time for freerel: 124.9/33.1427
Info:Square Root: Total cpu/real time for sqrt: 1049.79/327.168
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.58/96.4214
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 95.69999999999999s
Info:Quadratic Characters: Total cpu/real time for characters: 69.8/30.6027
Info:Filtering - Singleton removal: Total cpu/real time for purge: 335.32/318.14
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 486.13/525.663
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 384.00000000000006s
Info:Filtering - Merging: Merged matrix has 2003924 rows and total weight 341853901 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 580.17/163.403
Info:Filtering - Merging: Total cpu/real time for replay: 73.66/70.8101
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25506071
Info:Lattice Sieving: Average J: 1895.22 for 2167234 special-q, max bucket fill -bkmult 1.0,1s:1.146920
Info:Lattice Sieving: Total time: 400052s
Info:Linear Algebra: Total cpu/real time for bwc: 76214.5/20035.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 48998.91, WCT time 12633.32, iteration CPU time 0.18, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (62720 iterations)
Info:Linear Algebra: Lingen CPU time 293.95, WCT time 300.71
Info:Linear Algebra: Mksol: CPU time 26431.99,  WCT time 6850.63, iteration CPU time 0.2, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (31488 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 831308/221389
Info:root: Cleaning up computation data in /tmp/cado.u66ou_qf
4608231317202312841210389613994923255760260376421747106304696218681733244065434684493113 28334144915303685869610867833853926728453677339546965069

cado-nfs-3.0.0

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

951961029830947545908753373156459468515953581094419896213005063542533322097720555276643336945345469377614307524260417766985259588151492457303682392963974431859766892684468782997194657387<186>

698304111094315577162000195780670476722276009<45>
1363247064862793156564728170930399860701473859809385277679004732928999428317981943181962454161855404311447044061720697045853342908927993421043<142>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 951961029830947545908753373156459468515953581094419896213005063542533322097720555276643336945345469377614307524260417766985259588151492457303682392963974431859766892684468782997194657387 (186 digits)
Using B1=28530000, B2=144287903776, polynomial Dickson(12), sigma=1:3448954526
Step 1 took 79078ms
Step 2 took 28710ms
********** Factor found in step 2: 698304111094315577162000195780670476722276009
Found prime factor of 45 digits: 698304111094315577162000195780670476722276009
Prime cofactor 1363247064862793156564728170930399860701473859809385277679004732928999428317981943181962454161855404311447044061720697045853342908927993421043 has 142 digits

540200906495910930224686834822403483512921730766824348542605942965053432028892556896533271085616227420984236133385695735394663865047340679706256748716009880993649739927259849<174>

94098301768285560169951973539478425867<38>

5740814619865729075908557292221925979434698796636013494335324544750728377528789814143737672809849911596405718211225684291074416785252347<136>

Resuming ECM residue saved by @35f475a270c2 with GMP-ECM 7.0.5-dev on Wed Jan  4 19:45:58 2023 
Input number is 540200906495910930224686834822403483512921730766824348542605942965053432028892556896533271085616227420984236133385695735394663865047340679706256748716009880993649739927259849 (174 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3765021167
Step 1 took 0ms
Step 2 took 2590ms
********** Factor found in step 2: 94098301768285560169951973539478425867
Found prime factor of 38 digits: 94098301768285560169951973539478425867
Composite cofactor 5740814619865729075908557292221925979434698796636013494335324544750728377528789814143737672809849911596405718211225684291074416785252347 has 136 digits

5740814619865729075908557292221925979434698796636013494335324544750728377528789814143737672809849911596405718211225684291074416785252347<136>

7971153397440422194512675906234777395090128424147<49>
720198738329277891211596801252313843164264608816720369541200042284808256254798070220601<87>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 5740814619865729075908557292221925979434698796636013494335324544750728377528789814143737672809849911596405718211225684291074416785252347 (136 digits)
Using B1=44740000, B2=240492041806, polynomial Dickson(12), sigma=1:145779126
Step 1 took 84616ms
Step 2 took 26813ms
********** Factor found in step 2: 7971153397440422194512675906234777395090128424147
Found prime factor of 49 digits: 7971153397440422194512675906234777395090128424147
Prime cofactor 720198738329277891211596801252313843164264608816720369541200042284808256254798070220601 has 87 digits

40713016534180580675655982881786087476319101208493666495641739605071997827730388737935546715272514968204336417226071061858185713163756010392048869<146>

849201027797099846513534626154196376583747647283916673<54>
47942731110198524366924814825967127177909124448428484211149775044301093181083853935859652453<92>

40713016534180580675655982881786087476319101208493666495641739605071997827730388737935546715272514968204336417226071061858185713163756010392048869=849201027797099846513534626154196376583747647283916673*47942731110198524366924814825967127177909124448428484211149775044301093181083853935859652453

cado polynomial
n: 40713016534180580675655982881786087476319101208493666495641739605071997827730388737935546715272514968204336417226071061858185713163756010392048869
skew: 0.53
type: snfs
c0: -16
c5: 385
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 385*x^5-16
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13700000
tasks.lim1 = 13700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 47942731110198524366924814825967127177909124448428484211149775044301093181083853935859652453 849201027797099846513534626154196376583747647283916673
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2379.02/131.602
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Free Relations: Total cpu/real time for freerel: 70.66/6.2861
Info:Square Root: Total cpu/real time for sqrt: 2379.02/131.602
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 95.95/75.8241
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 75.5s
Info:Quadratic Characters: Total cpu/real time for characters: 58.32/10.7481
Info:Filtering - Singleton removal: Total cpu/real time for purge: 276.11/186.103
Info:Filtering - Merging: Merged matrix has 1996180 rows and total weight 341340276 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 457.56/27.0761
Info:Filtering - Merging: Total cpu/real time for replay: 37.57/32.7265
Info:Generate Factor Base: Total cpu/real time for makefb: 2.04/0.316867
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24727830
Info:Lattice Sieving: Average J: 3790.39 for 964654 special-q, max bucket fill -bkmult 1.0,1s:1.076850
Info:Lattice Sieving: Total time: 307946s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 381.92/278.639
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 200.80000000000004s
Info:Linear Algebra: Total cpu/real time for bwc: 55018.7/6891.19
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 36309.51, WCT time 4556.26, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.03, comm-wait 0.0 (62464 iterations)
Info:Linear Algebra: Lingen CPU time 405.22, WCT time 26.15
Info:Linear Algebra: Mksol: CPU time 18091.78,  WCT time 2278.38, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.03, comm-wait 0.0 (31232 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 643557/33185.2
Info:root: Cleaning up computation data in /tmp/cado.v4z35vmm
47942731110198524366924814825967127177909124448428484211149775044301093181083853935859652453 849201027797099846513534626154196376583747647283916673

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

5955404189429805739930431014665896588833126161126706311934938905186044078061211144087750394754347842222796978855975354713894008185452910358039995811389166346863621108376603369756532317211<187>

12577523530713041101891132254306365448121598752016760797<56>
473495770044660277754773262434138393222185862521739946114073428027159972294552272413537608262751001937323270901307385581465753471063<132>

Number: n
N=5955404189429805739930431014665896588833126161126706311934938905186044078061211144087750394754347842222796978855975354713894008185452910358039995811389166346863621108376603369756532317211  ( 187 digits)
SNFS difficulty: 199 digits.
Divisors found:

Tue May  9 14:10:53 2023  prp56 factor: 12577523530713041101891132254306365448121598752016760797
Tue May  9 14:10:53 2023  prp132 factor: 473495770044660277754773262434138393222185862521739946114073428027159972294552272413537608262751001937323270901307385581465753471063
Tue May  9 14:10:53 2023  elapsed time 02:22:31 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 77x10^198-32 = 85(197)2
#
n: 5955404189429805739930431014665896588833126161126706311934938905186044078061211144087750394754347842222796978855975354713894008185452910358039995811389166346863621108376603369756532317211
m: 1000000000000000000000000000000000
deg: 6
c6: 77
c0: -32
skew: 0.86
# Murphy_E = 1.368e-11
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 40300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2022473 hash collisions in 14687670 relations (13691357 unique)
Msieve: matrix is 2131588 x 2131813 (603.4 MB)

Sieving start time: 2023/05/08 20:10:01
Sieving end time  : 2023/05/09 11:48:07

Total sieving time: 15hrs 38min 6secs.

Total relation processing time: 2hrs 11min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 39sec.

Prototype def-par.txt line would be:
snfs,199,6,0,0,0,0,0,0,0,0,15000000,15000000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

13051508237012903858354334293995625809793785359659625183728633715403566352017438461149853508704399492807699035511241916443527817735045071044823155103<149>

16323376373621031854410874434764697068143995319337098479<56>
799559352077702168120066152910879042534042921079382676208874050207240067749843737072866674257<93>

16323376373621031854410874434764697068143995319337098479
799559352077702168120066152910879042534042921079382676208874050207240067749843737072866674257

cado-nfs

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

747677221378618751307854279602415685260131536797658403668967058635756285307608227814552837717053345114586082228840313286827532998666272569599896734367532627642501547186690334714824792738361231<192>

10571327006127138239307733006693137465894887720597876321121249699243433<71>
70726903154662157214615444441803487013831235738652163739640504078287046222624235909326660744771611675926346452590265548407<122>

Number: n
N=747677221378618751307854279602415685260131536797658403668967058635756285307608227814552837717053345114586082228840313286827532998666272569599896734367532627642501547186690334714824792738361231  ( 192 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sat Jul 15 20:38:28 2023  prp71 factor: 10571327006127138239307733006693137465894887720597876321121249699243433
Sat Jul 15 20:38:28 2023  prp122 factor: 70726903154662157214615444441803487013831235738652163739640504078287046222624235909326660744771611675926346452590265548407
Sat Jul 15 20:38:28 2023  elapsed time 02:46:08 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.105).
Factorization parameters were as follows:
#
# N = 77x10^202-32 = 85(201)2
#
n: 747677221378618751307854279602415685260131536797658403668967058635756285307608227814552837717053345114586082228840313286827532998666272569599896734367532627642501547186690334714824792738361231
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1925
c0: -8
skew: 0.33
# Murphy_E = 1.015e-11
type: snfs
lss: 1
rlim: 17100000
alim: 17100000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17100000/17100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2949285 hash collisions in 17024999 relations (14782889 unique)
Msieve: matrix is 2300987 x 2301212 (653.2 MB)

Sieving start time: 2023/07/15 05:29:54
Sieving end time  : 2023/07/15 17:51:59

Total sieving time: 12hrs 22min 5secs.

Total relation processing time: 2hrs 38min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 57sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17100000,17100000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

44723557443716099293877828618180316700124189638492380389236439730001423436654708215747334986075528090646924614704096818741716790231508264124909633<146>

205603192214144441387557861608429638009<39>
217523653023512485781722618775716085776985470912200423320490389245570986806679646348093284277819742958633737<108>

Resuming ECM residue saved by @35f475a270c2 with GMP-ECM 7.0.5-dev on Wed Jan  4 21:35:51 2023 
Input number is 44723557443716099293877828618180316700124189638492380389236439730001423436654708215747334986075528090646924614704096818741716790231508264124909633 (146 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1460320150
Step 1 took 0ms
Step 2 took 2022ms
********** Factor found in step 2: 205603192214144441387557861608429638009
Found prime factor of 39 digits: 205603192214144441387557861608429638009
Prime cofactor 217523653023512485781722618775716085776985470912200423320490389245570986806679646348093284277819742958633737 has 108 digits

1905520539920685284164297211368382583831939919672116066740574431870668397902752016323611139959046666056059291443610290314310877299216514885565619234677031125757930618517<169>

16931360611929879162478470839534263<35>
112543851825945443002429826500609553334146002460887980587096287188490326809053292031855406641496837605623416578826346042609813001719059<135>

GPU: factor 16931360611929879162478470839534263 found in Step 1 with curve 295 (-sigma 3:-1547840983)
GPU: factor 16931360611929879162478470839534263 found in Step 1 with curve 933 (-sigma 3:-1547840345)
Computing 1792 Step 1 took 182ms of CPU time / 178311ms of GPU time
Throughput: 10.050 curves per second (on average 99.50ms per Step 1)
********** Factor found in step 1: 16931360611929879162478470839534263
Found prime factor of 35 digits: 16931360611929879162478470839534263
Prime cofactor 112543851825945443002429826500609553334146002460887980587096287188490326809053292031855406641496837605623416578826346042609813001719059 has 135 digits
Peak memory usage: 9428MB

92193486590038314176245210727969348659003831417624521072796934865900383141762452107279693486590038314176245210727969348659003831417624521072796934865900383141762452107279693486590038314176245210727969348659<206>

86142426680041341204916410074108441546120968489682061504171172922441565452671516060170283664102352059667659385416521231400843220246450574026281808258861527369216554095295988063031375712006312159032612941<203>

62814161055547111192428371609165411<35>
1371385452459754114831777435656777200856120009515466090253514720731206273773927722226237971968644461705089216316025859927088109434306139725963846526469054690530516473231<169>

Resuming ECM residue saved by @35f475a270c2 with GMP-ECM 7.0.5-dev on Wed Jan  4 20:24:16 2023 
Input number is 86142426680041341204916410074108441546120968489682061504171172922441565452671516060170283664102352059667659385416521231400843220246450574026281808258861527369216554095295988063031375712006312159032612941 (203 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2381893262
Step 1 took 0ms
Step 2 took 2902ms
********** Factor found in step 2: 62814161055547111192428371609165411
Found prime factor of 35 digits: 62814161055547111192428371609165411
Prime cofactor 1371385452459754114831777435656777200856120009515466090253514720731206273773927722226237971968644461705089216316025859927088109434306139725963846526469054690530516473231 has 169 digits

8767528309221838972381302881779871705795696971603565569478797595384209353608397540622922438709598359319946270321389066940583922471446797936515941114326522493191302742440728553<175>

989749198546690110062847387179643269<36>

8858333325347211599128617712903202282748763737230457381798088647677955669628112300310743158795412140470526894295974897933603102577857980437<139>

Resuming ECM residue saved by @35f475a270c2 with GMP-ECM 7.0.5-dev on Wed Jan  4 20:08:06 2023 
Input number is 8767528309221838972381302881779871705795696971603565569478797595384209353608397540622922438709598359319946270321389066940583922471446797936515941114326522493191302742440728553 (175 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4259883625
Step 1 took 0ms
Step 2 took 2534ms
********** Factor found in step 2: 989749198546690110062847387179643269
Found prime factor of 36 digits: 989749198546690110062847387179643269
Composite cofactor 8858333325347211599128617712903202282748763737230457381798088647677955669628112300310743158795412140470526894295974897933603102577857980437 has 139 digits

8858333325347211599128617712903202282748763737230457381798088647677955669628112300310743158795412140470526894295974897933603102577857980437<139>

1643167683833745243251834879990725427798803549145893834604239540367<67>
5391009945302388655187187388531230761367101298051538524359046330076989211<73>

8858333325347211599128617712903202282748763737230457381798088647677955669628112300310743158795412140470526894295974897933603102577857980437=1643167683833745243251834879990725427798803549145893834604239540367*5391009945302388655187187388531230761367101298051538524359046330076989211

cado polynomial
n: 8858333325347211599128617712903202282748763737230457381798088647677955669628112300310743158795412140470526894295974897933603102577857980437
skew: 673596.489
c0: 3359549955575134894458513189126180
c1: -23516064998884352078967556528
c2: -83476575190769938703055
c3: 83308260930182355
c4: 56705310074
c5: 27720
Y0: -874664267683694117706705271
Y1: 93245732393416974403
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.674e-07
# f(x) = 27720*x^5+56705310074*x^4+83308260930182355*x^3-83476575190769938703055*x^2-23516064998884352078967556528*x+3359549955575134894458513189126180
# g(x) = 93245732393416974403*x-874664267683694117706705271

cado parameters (extracts)
tasks.lim0 = 9457107
tasks.lim1 = 12662444
tasks.lpb0 = 28
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1643167683833745243251834879990725427798803549145893834604239540367 5391009945302388655187187388531230761367101298051538524359046330076989211
Info:Square Root: Total cpu/real time for sqrt: 1569.43/427.688
Info:Generate Free Relations: Total cpu/real time for freerel: 498.12/125.869
Info:Linear Algebra: Total cpu/real time for bwc: 59948.6/15543
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 38349.12, WCT time 9881.25, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (59904 iterations)
Info:Linear Algebra: Lingen CPU time 389.23, WCT time 99.44
Info:Linear Algebra: Mksol: CPU time 20849.89,  WCT time 5419.06, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29952 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 9057.58
Info:Polynomial Selection (root optimized): Rootsieve time: 9055.07
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32839193
Info:Lattice Sieving: Average J: 3823.17 for 819276 special-q, max bucket fill -bkmult 1.0,1s:1.165770
Info:Lattice Sieving: Total time: 295092s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66237/41.340/49.996/55.830/0.947
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54422/39.970/44.649/50.720/1.059
Info:Polynomial Selection (size optimized): Total time: 22906.8
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 411.87/393.45
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 372.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 152.53/149.674
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 149.6s
Info:Quadratic Characters: Total cpu/real time for characters: 76.98/35.2947
Info:Square Root: Total cpu/real time for sqrt: 1569.43/427.688
Info:Filtering - Singleton removal: Total cpu/real time for purge: 147.86/152.41
Info:Filtering - Merging: Merged matrix has 1915124 rows and total weight 327311189 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 470.39/137.329
Info:Filtering - Merging: Total cpu/real time for replay: 77.19/67.6482
Info:Generate Factor Base: Total cpu/real time for makefb: 11.68/3.27904
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 649059/173947
Info:root: Cleaning up computation data in /tmp/cado.sl3hmdmv
1643167683833745243251834879990725427798803549145893834604239540367 5391009945302388655187187388531230761367101298051538524359046330076989211

cado-nfs-3.0.0

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

5710660049064804510905254424293082584035403363053684832320781391542788358963368948865948944978546904306069069973474058236510204667682897163501804034591707682555413871854805771107014862074358548997522552509<205>

3762661567770419606349534048711533314854498114988910924080176228387631384867388806743890924204620686844357519830998770141283509380050693246976991<145>

3812845439314855766549132641962887890425994631<46>
986838209850579758926088464454430447087398609807886648313260007398870697274740059807424699186019561<99>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1439121123
Step 1 took 81656ms
Step 2 took 27829ms
********** Factor found in step 2: 3812845439314855766549132641962887890425994631
Found prime factor of 46 digits: 3812845439314855766549132641962887890425994631
Prime cofactor 986838209850579758926088464454430447087398609807886648313260007398870697274740059807424699186019561 has 99 digits
 

GMP-ECM

1114434705945370403343387716670894679517451690953573191545461084013385751526203053579886842945993439251960949174014346300423449067652629820281349923418972946568744715359086481656459489<184>

1383477687514204552324312532046256960295688596628204964787273206240558099321994189021039054596118831078148763374041800585450514395391778964951734022770409209973348029514535683258979862093934274800902193729<205>

10684255575271611044392635976253613227448048825960511791614060728487905839168894012886733000175389667130365856901953741696137238325269394909734118682987408930011133496662953005163055570667574573105477<200>

7973335589340268148584379662847627307132994384436068898650745394822291678965317287620791307046708674727505333764880349489237949769660404670479850842624342917194971064514290649552445150844196061077019972685871<208>

14973402266680018960655017650382820676290138788154388651309642410892285311569498454861551622603119662000149054796648263400602197062674001208549374689476254022518215256505284266164060596803<188>

920145607217109681465074575400504683089399469102909603094227761539440832897795508530764735374210501631450851182622368741269143946227621103352160423877455791445384271502218306074080999130768493<192>

399975396729524537426588343847159211497740067473907718682905790595999399245354441797677092379466104300396684756045043952348980470553882504781355025216226479860955525280254821871<177>

7552373366547588010130043608022744506840062041017817707423658384706717672507857110227936434938090871891582763423146860366891360114801429491129588173241728521005431808675126059369686498488149386169263<199>

16013592876156325824072717748323661387<38>

471622666128399279794213581983202181008996800713479126181088002871103662617189523024437051223852631174878694349756923485333117565595867867619305133790379806699949<162>

Resuming ECM residue saved by @35f475a270c2 with GMP-ECM 7.0.5-dev on Wed Jan  4 21:56:35 2023 
Input number is 7552373366547588010130043608022744506840062041017817707423658384706717672507857110227936434938090871891582763423146860366891360114801429491129588173241728521005431808675126059369686498488149386169263 (199 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3025002439
Step 1 took 0ms
Step 2 took 4964ms
********** Factor found in step 2: 16013592876156325824072717748323661387
Found prime factor of 38 digits: 16013592876156325824072717748323661387
Composite cofactor 471622666128399279794213581983202181008996800713479126181088002871103662617189523024437051223852631174878694349756923485333117565595867867619305133790379806699949 has 162 digits

174787285389181541440214891292964157257505508072702672193563213871641835746991187622705028704972969341646149720051623330842343654770689248842489008542358313653522397927407<171>

102351776529505067014011404848589219441540743087780027905222735441472070257854233134148803008067925817557911020647242524725059356232352575205554318297197710240637443282159490795526401441420922773028093<201>

24060785483980830107689180176251723<35>
4253883423616770461588348695811054011879655841944505034646243939802421592360677848110065633895306493005972805689016604084287519106205376320368004371305536863264863191<166>

Resuming ECM residue saved by @35f475a270c2 with GMP-ECM 7.0.5-dev on Wed Jan  4 20:59:51 2023 
Input number is 102351776529505067014011404848589219441540743087780027905222735441472070257854233134148803008067925817557911020647242524725059356232352575205554318297197710240637443282159490795526401441420922773028093 (201 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3954416617
Step 1 took 0ms
Step 2 took 2816ms
********** Factor found in step 2: 24060785483980830107689180176251723
Found prime factor of 35 digits: 24060785483980830107689180176251723
Prime cofactor 4253883423616770461588348695811054011879655841944505034646243939802421592360677848110065633895306493005972805689016604084287519106205376320368004371305536863264863191 has 166 digits

317124347753969675140504717000493600309758551469587463767331197229159497152753607175569816586515874204126953258633435841175712274509739479559657305712253147637304785481929329<174>

37690532222688907835233306590743647872928231628561300906587168674906066007670851580475678558610577673094389328365238830260683720537353142802697440104407008011035370195393544694067333<182>

8413594818953326380119888035536046469770489<43>
4479718008024744707011537618954381194726486594458517817803835067355211211042671193194909071497662060030881787276711935760245310056285929197<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1148081561
Step 1 took 7375ms
Step 2 took 3390ms
********** Factor found in step 2: 8413594818953326380119888035536046469770489
Found prime factor of 43 digits: 8413594818953326380119888035536046469770489
Prime cofactor 4479718008024744707011537618954381194726486594458517817803835067355211211042671193194909071497662060030881787276711935760245310056285929197 has 139 digits

GMP-ECM

807677804648686115613820951587329227295103162471077714833456123397690031082291581635926527603982930926972818374196277076837157424261503149664353818533310840155842981015860294295855970313688080283<195>

53113490923185958574454450155986949496907511534261073925811891507912272033573429966124781839587323626618253506547537033231452708431225197528575529315836891702548538497552982416124241889736888479469979862307233696257102017<221>

1017894036363745964189960544051213811<37>
52179783971350209131760567464490583901836304919048522672142866950796427052229166463652170436958617312995402834821735044283407995824843333883719783748183115500449576689356557047301293947<185>

Resuming ECM residue saved by @35f475a270c2 with GMP-ECM 7.0.5-dev on Wed Jan  4 18:58:57 2023 
Input number is 53113490923185958574454450155986949496907511534261073925811891507912272033573429966124781839587323626618253506547537033231452708431225197528575529315836891702548538497552982416124241889736888479469979862307233696257102017 (221 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:788463227
Step 1 took 0ms
Step 2 took 3192ms
********** Factor found in step 2: 1017894036363745964189960544051213811
Found prime factor of 37 digits: 1017894036363745964189960544051213811
Prime cofactor 52179783971350209131760567464490583901836304919048522672142866950796427052229166463652170436958617312995402834821735044283407995824843333883719783748183115500449576689356557047301293947 has 185 digits

855974311615465887310761532778449474105738506978312578720249651844338256512710705537607795897695137126741388547732598903093844526857480651263291667417017928157092779976961765298788532169831864708218922132310171373949<216>

10487241686294377223695646446591935300181<41>

81620538290266180850590608682792224711901076881340334003832521689271615988156913380374119617395622114407988565199685692701886066464582171856323128840429066476077958555716782729<176>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1805377035
Step 1 took 9343ms
Step 2 took 4250ms
********** Factor found in step 2: 10487241686294377223695646446591935300181
Found prime factor of 41 digits: 10487241686294377223695646446591935300181
Composite cofactor 81620538290266180850590608682792224711901076881340334003832521689271615988156913380374119617395622114407988565199685692701886066464582171856323128840429066476077958555716782729 has 176 digits

GMP-ECM

431661794853765141637016800201400277467686652972513798566318537761336245093694335395377346088123876275506004110859147709286007848962423440388860086831807820029261184955925157528786607<183>

14997597263991029707597573322870054894934966661499104791177841628410199501326547215295094681788286925398355911387482157732451236463879937228445592402910998899090539653<167>

1421332695290509312889307615612222187656043<43>

10551785175761145666484243440174574052121946883970494199755372087878971547712515340925605309900603135880447635133224843064271<125>

Resuming ECM residue saved by @35f475a270c2 with GMP-ECM 7.0.5-dev on Wed Jan  4 19:10:50 2023 
Input number is 14997597263991029707597573322870054894934966661499104791177841628410199501326547215295094681788286925398355911387482157732451236463879937228445592402910998899090539653 (167 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1024600795
Step 1 took 0ms
Step 2 took 2318ms
********** Factor found in step 2: 1421332695290509312889307615612222187656043
Found prime factor of 43 digits: 1421332695290509312889307615612222187656043
Composite cofactor 10551785175761145666484243440174574052121946883970494199755372087878971547712515340925605309900603135880447635133224843064271 has 125 digits

10551785175761145666484243440174574052121946883970494199755372087878971547712515340925605309900603135880447635133224843064271<125>

57530461548893071092640919033290203401<38>
183412141875370889811446966892343644416890163036324895649554397679303458754749729102871<87>

10551785175761145666484243440174574052121946883970494199755372087878971547712515340925605309900603135880447635133224843064271=57530461548893071092640919033290203401*183412141875370889811446966892343644416890163036324895649554397679303458754749729102871

cado polynomial
n: 10551785175761145666484243440174574052121946883970494199755372087878971547712515340925605309900603135880447635133224843064271
skew: 236251.953
c0: 10927442324993136855437500279220
c1: -232752088183581253115883571
c2: -1735942868122728815042
c3: 4784860187759023
c4: 18967316010
c5: -23400
Y0: -1689098564101745218080922
Y1: 33359301067999687
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.711e-07
# f(x) = -23400*x^5+18967316010*x^4+4784860187759023*x^3-1735942868122728815042*x^2-232752088183581253115883571*x+10927442324993136855437500279220
# g(x) = 33359301067999687*x-1689098564101745218080922

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

cado log (extracts)
Info:Square Root: Factors: 183412141875370889811446966892343644416890163036324895649554397679303458754749729102871 57530461548893071092640919033290203401
Info:Square Root: Total cpu/real time for sqrt: 955.48/243.877
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20525/36.840/44.176/47.660/0.881
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16197/35.740/39.569/44.940/0.959
Info:Polynomial Selection (size optimized): Total time: 2737.18
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2934.04
Info:Polynomial Selection (root optimized): Rootsieve time: 2883.8
Info:Generate Factor Base: Total cpu/real time for makefb: 8.79/1.44688
Info:Generate Free Relations: Total cpu/real time for freerel: 132.93/16.7264
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11638807
Info:Lattice Sieving: Average J: 3853.88 for 181866 special-q, max bucket fill -bkmult 1.0,1s:1.147840
Info:Lattice Sieving: Total time: 87256.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 30.6/64.0391
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 63.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 153.96/123.581
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 118.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 69.77/77.1242
Info:Filtering - Merging: Merged matrix has 767032 rows and total weight 131519708 (171.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 151.74/22.9397
Info:Filtering - Merging: Total cpu/real time for replay: 26.01/21.1671
Info:Linear Algebra: Total cpu/real time for bwc: 6123.12/1605.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1004.9, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24064 iterations)
Info:Linear Algebra: Lingen CPU time 81.89, WCT time 22.11
Info:Linear Algebra: Mksol: WCT time 553.31, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12032 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 37.75/9.2538
Info:Square Root: Total cpu/real time for sqrt: 955.48/243.877
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 201617/50.0576
183412141875370889811446966892343644416890163036324895649554397679303458754749729102871 57530461548893071092640919033290203401

cado-nfs-3.0.0

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

8672149682299112118684068183145840980063897996359530262963459752498772002717546034207120377802848446558857909571566729703737325071640829447492196814039540677956481643798272525655304608468371493646123317940796753<211>

276157177291565876542988983040469100292266528282317961041069487703471870773925943373658655818239067805151305873304613870231636194556287483900238264583723309514871235908184562794386038553<186>

696366367503084104126741269890558370602963341608003320339453943436279414496922535848871591305048505459513071282324703494665879779348261650474488786995930234881464580455789677437150209868178486245540883996414334507298723<219>

673787079878445580323216114780452020676944445460119871041869963629730423203037152534616248134586812483878194503986913969834628862391324625926395591033935908267190605035598721023704545420488717376617337758729<207>

43226991986873495351494583869435610733551068747383487016719737017346247706402751872795842205241168719249519274081726696298080287354683046320208644892158773477212595434127705951987537030801272104669145866920481551331510008481760092955611<236>

19231861468504420598356084950890026991750000552229767148987504184648941635154103198805694111980849284560219754235203439665865219833822067873355643100319276324051456236607759091693392773156107038190210097<203>

31577018963908223725250292066285381127928116100952750076136668620888957010890491467758576823639657511999317299739936435300883540690736788247431373884615984520600312903328064500423047297788668900942078344732856246718674410640224339444427<236>

2352559065825702891561492936781215789041<40>

13422412819558814625726953849103735249918047337010482350376234785122700046837016890710188447805993145151704622297046180438612143744582837495646828864682171604911257389036637182310554839395184679547<197>

Resuming ECM residue saved by @35f475a270c2 with GMP-ECM 7.0.5-dev on Wed Jan  4 20:42:08 2023 
Input number is 31577018963908223725250292066285381127928116100952750076136668620888957010890491467758576823639657511999317299739936435300883540690736788247431373884615984520600312903328064500423047297788668900942078344732856246718674410640224339444427 (236 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3248479027
Step 1 took 0ms
Step 2 took 3515ms
********** Factor found in step 2: 2352559065825702891561492936781215789041
Found prime factor of 40 digits: 2352559065825702891561492936781215789041
Composite cofactor 13422412819558814625726953849103735249918047337010482350376234785122700046837016890710188447805993145151704622297046180438612143744582837495646828864682171604911257389036637182310554839395184679547 has 197 digits

378025900893961193013714089696997955141379126405763228712834776909684645325358345766385934693507756535498130090829129107794624935902365648260263517303919216893136216377779022785030497842613475159<195>

9235947749904388865998470235028777860787296895563421497703752404647883229072029122013901635822906476016545907328579254731604630682499237664042227752472758620714905727520522629209622373293734901469205852496005081002934050139<223>

139061076039017719183246325164712545796618051616946797918208148994297884378794481821412025620625229865445050442569628410794635093760395438558031621629913190663690740384569497357050000717296709333194173761994264082293<216>

9264402015284972134693214928166094495148377598517825394888755030993462780806781413734470382124966990295215483652276023201341927964596783428496906387148454919103124104410078517477439<181>

8912037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<253>

23107334330804068893009641652743500041589771441804003611715148297429507914421555526958789281004480692441902102900799640230568340693261024130282432759387434739363635013079645404971952390504902929826222463352627087737707<218>

659039961800468965304931935996065671795004103234155932976957388400124311712358232458793808834123592431008547101247135042019566304185786357444157986305827463461249669042113728564494150505089596157566273127030339502056930480671497973936554630283990693<249>

500469115049972036125706610393659386491940809348773468491712439441937159174033052072290514807750184120637547215686225571647522488092214853236977039672927704285513132413572493614274075918226934379425576888799038433740177026195359431978733728384153957091<252>

49078496790471867583491277168115782187<38>

10197319554969202869695613322446310711773569259413483683200692127217617798874068521862909927291238175067126025083216480559384535465022568891736138023832754975687110289848686795122236256125314817601552346622918385193<215>

Resuming ECM residue saved by @35f475a270c2 with GMP-ECM 7.0.5-dev on Wed Jan  4 21:23:05 2023 
Input number is 500469115049972036125706610393659386491940809348773468491712439441937159174033052072290514807750184120637547215686225571647522488092214853236977039672927704285513132413572493614274075918226934379425576888799038433740177026195359431978733728384153957091 (252 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2637778409
Step 1 took 0ms
Step 2 took 3835ms
********** Factor found in step 2: 49078496790471867583491277168115782187
Found prime factor of 38 digits: 49078496790471867583491277168115782187
Composite cofactor 10197319554969202869695613322446310711773569259413483683200692127217617798874068521862909927291238175067126025083216480559384535465022568891736138023832754975687110289848686795122236256125314817601552346622918385193 has 215 digits

72666875924649570936417693096591224264289147521353968031830903001100164608155081818276942835624710865106819829806870441374937330401953756204184464782731648286522313407138389398483<179>

107658847078747649713606360600686865311352832146866975232344352891194796480376463409634836927620844801870961600134805230962050055374081125844385395997001122741191764597186349426942586260042689071841<198>

93438820635502508500717609698387000197279<41>

1152185423002248135600569975660972069479343706208060985386410342977250776818259748466050115821949701724469402374238496707845280146042205234680802342707889279<157>

Resuming ECM residue saved by @35f475a270c2 with GMP-ECM 7.0.5-dev on Wed Jan  4 19:29:38 2023 
Input number is 107658847078747649713606360600686865311352832146866975232344352891194796480376463409634836927620844801870961600134805230962050055374081125844385395997001122741191764597186349426942586260042689071841 (198 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1106050287
Step 1 took 0ms
Step 2 took 2820ms
********** Factor found in step 2: 93438820635502508500717609698387000197279
Found prime factor of 41 digits: 93438820635502508500717609698387000197279
Composite cofactor 1152185423002248135600569975660972069479343706208060985386410342977250776818259748466050115821949701724469402374238496707845280146042205234680802342707889279 has 157 digits

1152185423002248135600569975660972069479343706208060985386410342977250776818259748466050115821949701724469402374238496707845280146042205234680802342707889279<157>

1396116211158287158946952682974852975142733<43>
825279023188433605031434261196827213740511350390278852318706197612800049337731910912483265267252214598267651648763<114>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2369532578
Step 1 took 23687ms
Step 2 took 10078ms
********** Factor found in step 2: 1396116211158287158946952682974852975142733
Found prime factor of 43 digits: 1396116211158287158946952682974852975142733
Prime cofactor 825279023188433605031434261196827213740511350390278852318706197612800049337731910912483265267252214598267651648763 has 114 digits
 

GMP-ECM

49092375057217858090248327115400931109292027770475310593239022139446924349494462182294322357490177348394307112830638920467005949572884472379757090006642879829092702762496587779266605548331964598668958595603482700436720553621<224>

14990403547675295727010139331139732379119<41>

3274920178171659629679862760190777643890427214697916350461231178249097703701531196627323259709892411924524709826089053878403398452484716641261962037556424541800699804999206836743702459<184>

Resuming ECM residue saved by @35f475a270c2 with GMP-ECM 7.0.5-dev on Wed Jan  4 18:44:10 2023 
Input number is 49092375057217858090248327115400931109292027770475310593239022139446924349494462182294322357490177348394307112830638920467005949572884472379757090006642879829092702762496587779266605548331964598668958595603482700436720553621 (224 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:678792442
Step 1 took 0ms
Step 2 took 3207ms
********** Factor found in step 2: 14990403547675295727010139331139732379119
Found prime factor of 41 digits: 14990403547675295727010139331139732379119
Composite cofactor 3274920178171659629679862760190777643890427214697916350461231178249097703701531196627323259709892411924524709826089053878403398452484716641261962037556424541800699804999206836743702459 has 184 digits

3274920178171659629679862760190777643890427214697916350461231178249097703701531196627323259709892411924524709826089053878403398452484716641261962037556424541800699804999206836743702459<184>

397095967205641289899401003636053246369<39>
8247175616557444910701150534508326976039556872894531967309240161359123305150078032386949788546850926027943203270538864936463131950747932837659611<145>

Resuming ECM residue saved by @35f475a270c2 with GMP-ECM 7.0.5-dev on Wed Jan  4 18:44:10 2023 
Input number is 3274920178171659629679862760190777643890427214697916350461231178249097703701531196627323259709892411924524709826089053878403398452484716641261962037556424541800699804999206836743702459 (184 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:678792942
Step 1 took 0ms
Step 2 took 33ms
********** Factor found in step 2: 397095967205641289899401003636053246369
Found prime factor of 39 digits: 397095967205641289899401003636053246369
Prime cofactor 8247175616557444910701150534508326976039556872894531967309240161359123305150078032386949788546850926027943203270538864936463131950747932837659611 has 145 digits

186926596595896742719087681682941418661197728526261001965399644208285752017836195980641201923450402790401392093344830532833049787534860596456065937992806481934636867168503888073209194652248557023779005181508152912753346228840880312599532343641970992876397337<258>

58386810076600968146952987554047562281801166556568936176052337466611820376358131650223986065040860859075101055411719092547931213370430355358900967608408942308814591196524339243791664583881379839556330438013610310558400186997<224>

440665457126289731164493788585471812748451318486191641065733394355521365267569382215964336564529250626173274648833964856836093579028835816922558355512382928760691532625088934487840401744521095920787131808364618323861060403834625718280069337641<243>

75761153616070022984162967160983596234375491955542961493655741317968577815559963477220490538710997764554012782972828311451150782406095525959510090992097226157866565914171468152765970844746701930039986146531910204338654324486004848713831428481470986429898302950159<263>

151987802453140255154763204598993843<36>
498468642833546701227517507328032323247392353647918876088876746582036677981762866696121065399804593193924000445333582265641432111719241280807150573762849729549220859175674299185842579070056488905092372725468990694513371877551413<228>

GPU: factor 151987802453140255154763204598993843 found in Step 1 with curve 196 (-sigma 3:-56660713)
Computing 1792 Step 1 took 232ms of CPU time / 267711ms of GPU time
Throughput: 6.694 curves per second (on average 149.39ms per Step 1)
********** Factor found in step 1: 151987802453140255154763204598993843
Found prime factor of 36 digits: 151987802453140255154763204598993843
Prime cofactor 498468642833546701227517507328032323247392353647918876088876746582036677981762866696121065399804593193924000445333582265641432111719241280807150573762849729549220859175674299185842579070056488905092372725468990694513371877551413 has 228 digits
Peak memory usage: 9428MB

1842793333073330913039704624733090183605143070348908822778092730159069805263567993957266323221706810496307078130031874957088271779212516952514111815871908158948801247427832955882115838974076127877354093641777785825056055347440339829<232>

6838000102770055538267846812342557733<37>
269493025062520877477131511613372648834238425390455559951435962718852317790685393550438436656196715236538840015543614715938081716169212307959520930735621825252661648477880080865363499864492452113<195>

Resuming ECM residue saved by @35f475a270c2 with GMP-ECM 7.0.5-dev on Wed Jan  4 20:21:20 2023 
Input number is 1842793333073330913039704624733090183605143070348908822778092730159069805263567993957266323221706810496307078130031874957088271779212516952514111815871908158948801247427832955882115838974076127877354093641777785825056055347440339829 (232 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1691683328
Step 1 took 0ms
Step 2 took 3537ms
********** Factor found in step 2: 6838000102770055538267846812342557733
Found prime factor of 37 digits: 6838000102770055538267846812342557733
Prime cofactor 269493025062520877477131511613372648834238425390455559951435962718852317790685393550438436656196715236538840015543614715938081716169212307959520930735621825252661648477880080865363499864492452113 has 195 digits

6379389178134951485417619026242418132460858131277148334669883969912264979895151757113737250916110565365955859709437768102740866840274188118112406636049047490092287796499132311269545367470829823041857373208032089475217696502091363029547299382379073949<250>

229696978653838743300899934473392002395473867345024529495443111187028614032590990952018726873350936474185578527910551363589236857201029189760926344064984433408004539<165>

6809637297430825199039891904643106578628506652016402643337843386077377880746297437587251115651223804197846544768216385710057002300331372151434834522231836370778134405265271942712348309310743274915559431443295861636229739198874230617649<235>

12481617375076725089522431420334196768650941542810613391809352495383083282120153038471067529397189168415879797770827862120161879290521941342122497798616326708805314316343431156223776327522315603263252044467565250466189396971527307777411224587952362391832258049<260>

110587104178552948012511524523351025125480611028494220954565702644253295707531520990954329057543906504665190188980963720770570773969169195619344161297413584220696535161008683782995819838798139892392898809230315417983360985997562856833947592907<243>

21543442797790235216741279274126140537159240408928395803822838762381717823341045513382591275797251054816414155394110364045929944507374447301683355380029779492778568923139934073178664327348214122019133584859672675670208249806216196032790573<239>

100255865922299119604586068171635661419275402708991938783848722123026901190755561330767420237899503866922300538849144852697984069769123035345932437341934976732976772648643264008514145363756605267737157198510767094237757823426290366103218283<240>

6145878686707683886343198275645853314828419037605454011526865917463914755721510767532649995133797589958996800360246922890354971511138554629851455582802225861421581568197503127312272929141068432555452248695700157236974785760080594436313211211<241>

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56101687653655657420563408226669724659098581121214060963828710031894903768882605366852683645078891013342720790030918556429958243378131764864844279038300367173768942633001711252411781898873643929278469539131741930038640548916448340127605477215379188608276261123<260>

4778864954977952153003636582624418190961918746586446930519614848637213921153292345658970680926225876770947445506384478027814962005369823167465505009559261309589703808180575973164909176198335071473607572701890321372882287570554372325412038108562385376427159160369<262>

861322694833073760883317867380861839451574280762272155494935951348569650475139870619323290868472290887683439069034552451889176192920909965938583166319514293101485798863217942017100240153094775911340930546734744629<213>