220883004689648450515022439155683782402432372947979448301216711943032459524816949603845168546985558483146649993022422136067<123>

218086325195310429271211267475537947334750493012772131<54>
1012823726988995819067213777518953159439476380056257750189749524266657<70>

Number: 1
N=220883004689648450515022439155683782402432372947979448301216711943032459524816949603845168546985558483146649993022422136067
  ( 123 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=218086325195310429271211267475537947334750493012772131 (pp54)
 r2=1012823726988995819067213777518953159439476380056257750189749524266657 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.13 hours.
Scaled time: 16.65 units (timescale=7.813).
Factorization parameters were as follows:
n: 220883004689648450515022439155683782402432372947979448301216711943032459524816949603845168546985558483146649993022422136067
m: 100000000000000000000000000000000
deg: 4
c4: 95
c0: -2
skew: 0.38
# Murphy_E = 1.503e-08
type: snfs
lss: 1
rlim: 1030000
alim: 1030000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1030000/1030000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [515000, 1015001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 120251 x 120476
Total sieving time: 2.12 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,129.000,4,0,0,0,0,0,0,0,0,1030000,1030000,26,26,47,47,2.3,2.3,100000
total time: 2.13 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

3712890260787572430972327136141068327853022706293784879119790389523446632793484901547703414780176524777200763817<112>

8553355512317682413258805427045261890148894229997319<52>
434085810585172249192981388426827795067880027841455472468943<60>

Number: 1
N=3712890260787572430972327136141068327853022706293784879119790389523446632793484901547703414780176524777200763817
  ( 112 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=8553355512317682413258805427045261890148894229997319 (pp52)
 r2=434085810585172249192981388426827795067880027841455472468943 (pp60)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.08 hours.
Scaled time: 16.28 units (timescale=7.837).
Factorization parameters were as follows:
n: 3712890260787572430972327136141068327853022706293784879119790389523446632793484901547703414780176524777200763817
m: 500000000000000000000000000000000
deg: 4
c4: 38
c0: -5
skew: 0.60
# Murphy_E = 1.274e-08
type: snfs
lss: 1
rlim: 1130000
alim: 1130000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1130000/1130000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [565000, 1065001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 141221 x 141450
Total sieving time: 2.06 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,132.000,4,0,0,0,0,0,0,0,0,1130000,1130000,26,26,47,47,2.3,2.3,100000
total time: 2.08 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

100891147645120642088123546399692157207026791297972341448131850201703155941618670355932526862402395642744125456646493641470281851<129>

16013044171164923383675988284509921731308496118074408577743<59>
6300560128772877310052372489778826273693812086621122940490709164753557<70>

Number: 1
N=100891147645120642088123546399692157207026791297972341448131850201703155941618670355932526862402395642744125456646493641470281851
  ( 129 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=16013044171164923383675988284509921731308496118074408577743 (pp59)
 r2=6300560128772877310052372489778826273693812086621122940490709164753557 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.09 hours.
Scaled time: 47.56 units (timescale=7.813).
Factorization parameters were as follows:
n: 100891147645120642088123546399692157207026791297972341448131850201703155941618670355932526862402395642744125456646493641470281851
m: 100000000000000000000000000000000000
deg: 4
c4: 95
c0: -2
skew: 0.38
# Murphy_E = 3.829e-09
type: snfs
lss: 1
rlim: 1630000
alim: 1630000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1630000/1630000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [815000, 1415001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 217588 x 217816
Total sieving time: 6.05 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141.000,4,0,0,0,0,0,0,0,0,1630000,1630000,26,26,48,48,2.3,2.3,100000
total time: 6.09 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

101282125090887380673664728446630716842897564324810709038843294163804113973308428591837300394253998511685824980223332416463569352668624077<138>

653352799397127713971459171301518639071595811999<48>
155019042061722341955785299708327576797495547353787124045595969328286093324541690277851923<90>

Number: n
N=101282125090887380673664728446630716842897564324810709038843294163804113973308428591837300394253998511685824980223332416463569352668624077  ( 138 digits)
SNFS difficulty: 142 digits.
Divisors found:

Thu Oct  6 16:42:31 2022  p48 factor: 653352799397127713971459171301518639071595811999
Thu Oct  6 16:42:31 2022  p90 factor: 155019042061722341955785299708327576797495547353787124045595969328286093324541690277851923
Thu Oct  6 16:42:31 2022  elapsed time 00:03:11 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 19x10^142-4 = 63(141)2
#
n: 101282125090887380673664728446630716842897564324810709038843294163804113973308428591837300394253998511685824980223332416463569352668624077
m: 100000000000000000000000000000000000
deg: 4
c4: 475
c0: -1
skew: 0.21
# Murphy_E = 3.37e-09
type: snfs
lss: 1
rlim: 1670000
alim: 1670000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1670000/1670000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6435000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 394628 hash collisions in 5953378 relations (6234220 unique)
Msieve: matrix is 251388 x 251613 (83.9 MB)

Sieving start time : 2022/10/06 16:21:51
Sieving end time  : 2022/10/06 16:39:08

Total sieving time: 0hrs 17min 17secs.

Total relation processing time: 0hrs 1min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 9sec.

Prototype def-par.txt line would be:
snfs,142,4,0,0,0,0,0,0,0,0,1670000,1670000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

264356096886242835282086710543884454761924144243342985983831274235138940802237370092773900544364793902790775873649595925564861593243716321<138>

11458230237803640230495441270617507844426976320940295317937<59>
23071285128663610949525855633132279622423047508897866789449494968953041979101233<80>

Number: 1
N=264356096886242835282086710543884454761924144243342985983831274235138940802237370092773900544364793902790775873649595925564861593243716321
  ( 138 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=11458230237803640230495441270617507844426976320940295317937 (pp59)
 r2=23071285128663610949525855633132279622423047508897866789449494968953041979101233 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 12.12 hours.
Scaled time: 94.50 units (timescale=7.800).
Factorization parameters were as follows:
n: 264356096886242835282086710543884454761924144243342985983831274235138940802237370092773900544364793902790775873649595925564861593243716321
m: 10000000000000000000000000000000000000
deg: 4
c4: 95
c0: -2
skew: 0.38
# Murphy_E = 1.504e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 327509 x 327734
Total sieving time: 12.06 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,149.000,4,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 12.12 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

348925477992676231838366523007634494086333464066013481800689347884498055654608214173135788919803115715275986934596104305261018897659983870421<141>

702495932895728276207999882428042044484780360803494950887312304697051<69>
496693947471532715532854761027987250584446277618234490691699750395289871<72>

Number: n
N=348925477992676231838366523007634494086333464066013481800689347884498055654608214173135788919803115715275986934596104305261018897659983870421  ( 141 digits)
SNFS difficulty: 151 digits.
Divisors found:

Thu Oct  6 23:43:29 2022  p69 factor: 702495932895728276207999882428042044484780360803494950887312304697051
Thu Oct  6 23:43:29 2022  p72 factor: 496693947471532715532854761027987250584446277618234490691699750395289871
Thu Oct  6 23:43:29 2022  elapsed time 00:05:23 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 19x10^150-4 = 63(149)2
#
n: 348925477992676231838366523007634494086333464066013481800689347884498055654608214173135788919803115715275986934596104305261018897659983870421
m: 1000000000000000000000000000000
deg: 5
c5: 19
c0: -4
skew: 0.73
# Murphy_E = 1.491e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1051624 hash collisions in 13258777 relations (13085760 unique)
Msieve: matrix is 370803 x 371051 (76.9 MB)

Sieving start time : 2022/10/06 23:08:03
Sieving end time  : 2022/10/06 23:37:51

Total sieving time: 0hrs 29min 48secs.

Total relation processing time: 0hrs 1min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 28sec.

Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

4175475430441530048654319205487514866187287550417752456959901559769085446249715361758093634304330413735192593519352045441<121>

7348492601868710061477872314814620829621867<43>
568208428131194313509825115294732079825811437839438259127898463481731088227523<78>

Number: 1
N=4175475430441530048654319205487514866187287550417752456959901559769085446249715361758093634304330413735192593519352045441
  ( 121 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=7348492601868710061477872314814620829621867 (pp43)
 r2=568208428131194313509825115294732079825811437839438259127898463481731088227523 (pp78)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.23 hours.
Scaled time: 71.97 units (timescale=7.800).
Factorization parameters were as follows:
n: 4175475430441530048654319205487514866187287550417752456959901559769085446249715361758093634304330413735192593519352045441
m: 1000000000000000000000000000000
deg: 5
c5: 475
c0: -1
skew: 0.29
# Murphy_E = 1.202e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 457798 x 458025
Total sieving time: 9.11 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 9.23 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

950773626148502456119061200598216210871241957403642824997756651737865873506347723740707173375414132175961289273455790400224613448377<132>

4011322905859592731629817944414519767099<40>
875509643416870782643939159697460165635507<42>
270725128577195965950469961496167368625188082746489<51>

Number: 1
N=950773626148502456119061200598216210871241957403642824997756651737865873506347723740707173375414132175961289273455790400224613448377
  ( 132 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=4011322905859592731629817944414519767099 (pp40)
 r2=875509643416870782643939159697460165635507 (pp42)
 r3=270725128577195965950469961496167368625188082746489 (pp51)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.30 hours.
Scaled time: 88.64 units (timescale=7.843).
Factorization parameters were as follows:
n: 950773626148502456119061200598216210871241957403642824997756651737865873506347723740707173375414132175961289273455790400224613448377
m: 5000000000000000000000000000000
deg: 5
c5: 76
c0: -5
skew: 0.58
# Murphy_E = 9.3e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 457704 x 457931
Total sieving time: 11.19 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 11.30 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

143883191010661396919945002265605187358195977327479147326646736206166587710630803734646697748679567045276536891625377244251459125985209748305883339<147>

16129728096858454326653540154491659760013199837748110875827069<62>
8920372999882444151204400974924157100323680722778090096726617105819291663321529081831<85>

Number: 1
N=143883191010661396919945002265605187358195977327479147326646736206166587710630803734646697748679567045276536891625377244251459125985209748305883339
  ( 147 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=16129728096858454326653540154491659760013199837748110875827069 (pp62)
 r2=8920372999882444151204400974924157100323680722778090096726617105819291663321529081831 (pp85)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.57 hours.
Scaled time: 106.37 units (timescale=7.837).
Factorization parameters were as follows:
n: 143883191010661396919945002265605187358195977327479147326646736206166587710630803734646697748679567045276536891625377244251459125985209748305883339
m: 10000000000000000000000000000000
deg: 5
c5: 475
c0: -1
skew: 0.29
# Murphy_E = 7.729e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 479429 x 479654
Total sieving time: 13.48 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 13.57 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

664776211065859211286830823845122425676864991522983685817973609000213386166107813797778743359392980665774634958436861731740350391924763231555255701831047<153>

1613190934826500449624557473253826109<37>
412087742817223461140295888165793651815177709241029585092200502679351428613961609530694838405589139211835010634296083<117>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 664776211065859211286830823845122425676864991522983685817973609000213386166107813797778743359392980665774634958436861731740350391924763231555255701831047 (153 digits)
Using B1=18930000, B2=70271330230, polynomial Dickson(12), sigma=1:4133534320
Step 1 took 36507ms
Step 2 took 16748ms
********** Factor found in step 2: 1613190934826500449624557473253826109
Found prime factor of 37 digits: 1613190934826500449624557473253826109
Prime cofactor 412087742817223461140295888165793651815177709241029585092200502679351428613961609530694838405589139211835010634296083 has 117 digits

34665331121278392356909197282014769834110568970755411116755913314698445583436471877774934135710057995312443275098614173800869007660361<134>

91852939083008904757517563876676969060480952047297193283907989<62>
377400347417852387528358224632522740476602473345943606281527480721330149<72>

Number: 1
N=34665331121278392356909197282014769834110568970755411116755913314698445583436471877774934135710057995312443275098614173800869007660361
  ( 134 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=91852939083008904757517563876676969060480952047297193283907989 (pp62)
 r2=377400347417852387528358224632522740476602473345943606281527480721330149 (pp72)
Version: Msieve v. 1.52 (SVN 927)
Total time: 23.12 hours.
Scaled time: 179.40 units (timescale=7.758).
Factorization parameters were as follows:
n: 34665331121278392356909197282014769834110568970755411116755913314698445583436471877774934135710057995312443275098614173800869007660361
m: 100000000000000000000000000000000
deg: 5
c5: 4750
c0: -1
skew: 0.18
# Murphy_E = 3.672e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1850000, 3750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 762398 x 762623
Total sieving time: 22.95 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 23.12 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

10287939810194303497713273341259314057034258571812516846843850513225039651635585942263035245954886179725444830756155498844759213<128>

241288066914618135366477405990488426579201831382004915537<57>
42637582296329556063952234052904019237867201720666800923925893215406749<71>

Number: 1
N=10287939810194303497713273341259314057034258571812516846843850513225039651635585942263035245954886179725444830756155498844759213
  ( 128 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=241288066914618135366477405990488426579201831382004915537 (pp57)
 r2=42637582296329556063952234052904019237867201720666800923925893215406749 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 26.66 hours.
Scaled time: 207.94 units (timescale=7.800).
Factorization parameters were as follows:
n: 10287939810194303497713273341259314057034258571812516846843850513225039651635585942263035245954886179725444830756155498844759213
m: 1000000000000000000000000000000000
deg: 5
c5: 475
c0: -1
skew: 0.29
# Murphy_E = 3.149e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 798661 x 798887
Total sieving time: 26.49 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 26.66 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

336879432624113475177304964539007092198581560283687943262411347517730496453900709219858156028368794326241134751773049645390070921985815602836879432624113475177304964539<168>

488504357632083820975463614762034488779948085417<48>
689613976540683418894022395315129894551418265122436065310006320432738129078609514949697470818550432611832576089169724867<120>

Number: n
N=336879432624113475177304964539007092198581560283687943262411347517730496453900709219858156028368794326241134751773049645390070921985815602836879432624113475177304964539  ( 168 digits)
SNFS difficulty: 170 digits.
Divisors found:

Fri Oct  7 20:03:48 2022  p48 factor: 488504357632083820975463614762034488779948085417
Fri Oct  7 20:03:48 2022  p120 factor: 689613976540683418894022395315129894551418265122436065310006320432738129078609514949697470818550432611832576089169724867
Fri Oct  7 20:03:48 2022  elapsed time 00:11:36 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 19x10^169-4 = 63(168)2
#
n: 336879432624113475177304964539007092198581560283687943262411347517730496453900709219858156028368794326241134751773049645390070921985815602836879432624113475177304964539
m: 5000000000000000000000000000000000
deg: 5
c5: 76
c0: -5
skew: 0.58
# Murphy_E = 2.417e-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 1270643 hash collisions in 12205067 relations (11668413 unique)
Msieve: matrix is 725995 x 726220 (253.1 MB)

Sieving start time : 2022/10/07 19:07:42
Sieving end time  : 2022/10/07 19:51:56

Total sieving time: 0hrs 44min 14secs.

Total relation processing time: 0hrs 7min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 49sec.

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) ----------

1258775765732620290331362826807526711191785579338855068270573810491943826112736328769844732371249065105888627674805409575869<124>

89603366560554421983678411692040852265811<41>
14048308830918010979274061714291087223267879422211829552673892881737997596119048879<83>

New best polynomial is:
n: 1258775765732620290331362826807526711191785579338855068270573810491943826112736328769844732371249065105888627674805409575869
skew: 43344.401
c0: -1979318997713467483020159800
c1: -1046294413930310322519450
c2: -42098541440103146007
c3: 1540735490760537
c4: 10052386214
c5: 25440
Y0: -527227609266526301014263
Y1: 1389093853618296599
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=1.208e+13) = 3.341e-06
# f(x) = 25440*x^5+10052386214*x^4+1540735490760537*
  x^3-42098541440103146007*
        x^2-1046294413930310322519450*
        x-1979318997713467483020159800
# g(x) = 1389093853618296599*x-527227609266526301014263
Factors: 
      14048308830918010979274061714291087223267879422211829552673892881737997596119048879
        89603366560554421983678411692040852265811

CADO-NFS v3.0.0.

Ubuntu 20.04.4, Intel Xeon E5-1620.

398553929973032255516597732043610726797419033876383664532445126423004927943938464700042700984680949140966427244284557848400110211<129>

440889218457292056568506549613595428156931015423486767<54>
903977492050283091942799555178038063207741506447142894850911452828973930733<75>

10/19/22 23:30:18, 
10/19/22 23:30:18, ****************************
10/19/22 23:30:18, Starting factorization of 398553929973032255516597732043610726797419033876383664532445126423004927943938464700042700984680949140966427244284557848400110211
10/19/22 23:30:18, using pretesting plan: normal
10/19/22 23:30:18, using tune info for qs/gnfs crossover
10/19/22 23:30:18, ****************************
10/20/22 00:57:58, final ECM pretested depth: 39.696381
10/20/22 00:57:59, nfs: commencing nfs on c129: 
10/20/22 23:53:30, nfs: commencing lattice sieving with 4 threads
10/21/22 00:16:55, nfs: commencing msieve filtering
10/21/22 00:23:48, nfs: commencing msieve linear algebra
10/21/22 00:44:44, nfs: commencing msieve sqrt
10/21/22 00:49:45, prp75 = 903977492050283091942799555178038063207741506447142894850911452828973930733
10/21/22 00:49:45, prp54 = 440889218457292056568506549613595428156931015423486767
10/21/22 00:49:46, NFS elapsed time = 85907.0952 seconds.
10/21/22 00:49:46, 
10/21/22 00:49:46, Total factoring time = 91167.1444 seconds

YAFU v2.10.

Windows 10 v21H1, Intel i7-7700.

19889873468677522181527069500988197797485057474470172704563922751441883414353228574032477718078843206399952649443368088205511422487591438694927881<146>

18565488389381911372158012067625464088987500544467279<53>
1071335859931003015921723314029882924318210745537126984089494115708057725236149596450252576039<94>

Number: n
N=19889873468677522181527069500988197797485057474470172704563922751441883414353228574032477718078843206399952649443368088205511422487591438694927881  ( 146 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sat Oct 15 11:48:27 2022  p53 factor: 18565488389381911372158012067625464088987500544467279
Sat Oct 15 11:48:27 2022  p94 factor: 1071335859931003015921723314029882924318210745537126984089494115708057725236149596450252576039
Sat Oct 15 11:48:27 2022  elapsed time 00:14:38 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 19x10^175-4 = 63(174)2
#
n: 19889873468677522181527069500988197797485057474470172704563922751441883414353228574032477718078843206399952649443368088205511422487591438694927881
m: 100000000000000000000000000000000000
deg: 5
c5: 19
c0: -4
skew: 0.73
# Murphy_E = 1.569e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1702549 hash collisions in 13838439 relations (12913032 unique)
Msieve: matrix is 805191 x 805416 (277.3 MB)

Sieving start time : 2022/10/15 10:21:34
Sieving end time  : 2022/10/15 11:33:16

Total sieving time: 1hrs 11min 42secs.

Total relation processing time: 0hrs 9min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 29sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2781493351236268945363674837649180493446614220707800626986807338987674653194983116487529544669173159164859<106>

128783805136025845722030286566479<33>
21598160951203148842633873170333720528020025205807933175274941108071787221<74>

2781493351236268945363674837649180493446614220707800626986807338987674653194983116487529544669173159164859=128783805136025845722030286566479*21598160951203148842633873170333720528020025205807933175274941108071787221

cado polynomial
n: 2781493351236268945363674837649180493446614220707800626986807338987674653194983116487529544669173159164859
skew: 34592.014
c0: -7162172986652000998657137
c1: -1828816265804478836136
c2: -126138782147693251
c3: 3511801814134
c4: 36544506
c5: 360
Y0: -397214621298160752910
Y1: 3418658998870219
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.115e-06
# f(x) = 360*x^5+36544506*x^4+3511801814134*x^3-126138782147693251*x^2-1828816265804478836136*x-7162172986652000998657137
# g(x) = 3418658998870219*x-397214621298160752910

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 21598160951203148842633873170333720528020025205807933175274941108071787221 128783805136025845722030286566479
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11630/30.660/37.313/43.750/1.006
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7626/29.540/33.105/37.790/0.878
Info:Polynomial Selection (size optimized): Total time: 720.93
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 171.22
Info:Polynomial Selection (root optimized): Rootsieve time: 159.72
Info:Generate Factor Base: Total cpu/real time for makefb: 1.73/0.285522
Info:Generate Free Relations: Total cpu/real time for freerel: 73.37/9.22833
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4729608
Info:Lattice Sieving: Average J: 1911.54 for 46678 special-q, max bucket fill -bkmult 1.0,1s:1.203410
Info:Lattice Sieving: Total time: 11359.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 12.46/21.4303
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 62.55/45.1546
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 41.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 30.58/19.942
Info:Filtering - Merging: Merged matrix has 235424 rows and total weight 34427936 (146.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 47/6.91986
Info:Filtering - Merging: Total cpu/real time for replay: 7.53/6.0679
Info:Linear Algebra: Total cpu/real time for bwc: 556.42/150.46
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 89.39, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7424 iterations)
Info:Linear Algebra: Lingen CPU time 22.53, WCT time 6.13
Info:Linear Algebra: Mksol: WCT time 50.46, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3712 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 13.24/2.99399
Info:Square Root: Total cpu/real time for sqrt: 928.96/125.659
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 30795.6/3430.04
Info:root: Cleaning up computation data in /tmp/cado.6z_fepe7
21598160951203148842633873170333720528020025205807933175274941108071787221 128783805136025845722030286566479

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)

500354552924293077840907270879399767828708892455715036737992819868938905858097455399831219667518553285135441852188676349166205032583566346622257055095552379244095451<165>

340873126256809417232987160257913602250577<42>
37197385493072602639665033632828237036041226171<47>
39461417062028533969298164050141842107931765678249384094032744585509258830353<77>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 500354552924293077840907270879399767828708892455715036737992819868938905858097455399831219667518553285135441852188676349166205032583566346622257055095552379244095451 (165 digits)
Using B1=15740000, B2=46848203230, polynomial Dickson(12), sigma=1:1204212251
Step 1 took 36821ms
Step 2 took 14223ms
********** Factor found in step 2: 37197385493072602639665033632828237036041226171
Found prime factor of 47 digits: 37197385493072602639665033632828237036041226171
Composite cofactor 13451336600457465794199257352888036064466882161698001831798706224344882273354422064118422982915000256769802711439363681 has 119 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 13451336600457465794199257352888036064466882161698001831798706224344882273354422064118422982915000256769802711439363681 (119 digits)
Using B1=17390000, B2=58559766730, polynomial Dickson(12), sigma=1:679131240
Step 1 took 27306ms
Step 2 took 12402ms
********** Factor found in step 2: 340873126256809417232987160257913602250577
Found prime factor of 42 digits: 340873126256809417232987160257913602250577
Prime cofactor 39461417062028533969298164050141842107931765678249384094032744585509258830353 has 77 digits

1583333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<181>

9131630456183498285809952835862292719235060574750934132680798409236871868380942921147<85>
173389992173979906726178066327256544757390586310426662545175643118971218705849356587309621153839<96>

Number: n
N=1583333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333  ( 181 digits)
SNFS difficulty: 181 digits.
Divisors found:

Sun Oct  9 09:06:40 2022  p85 factor: 9131630456183498285809952835862292719235060574750934132680798409236871868380942921147
Sun Oct  9 09:06:40 2022  p96 factor: 173389992173979906726178066327256544757390586310426662545175643118971218705849356587309621153839
Sun Oct  9 09:06:40 2022  elapsed time 00:16:42 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 19x10^180-4 = 63(179)2
#
n: 1583333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 1000000000000000000000000000000000000
deg: 5
c5: 19
c0: -4
skew: 0.73
# Murphy_E = 9.863e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 16500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1397054 hash collisions in 13756574 relations (13215790 unique)
Msieve: matrix is 858665 x 858890 (297.1 MB)

Sieving start time : 2022/10/09 05:26:43
Sieving end time  : 2022/10/09 08:49:20

Total sieving time: 3hrs 22min 37secs.

Total relation processing time: 0hrs 11min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 49sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

48464483087425834313201000626059722104406341567297040327298095617373502123705423508434420223212923612531243908524250490995189054530585725968129<143>

2286745041467302193668689946190771402897843<43>
21193653952925307045257041647278815761377785828972585584654487825690899963995473944357861366908142203<101>

Number: n
N=48464483087425834313201000626059722104406341567297040327298095617373502123705423508434420223212923612531243908524250490995189054530585725968129  ( 143 digits)
SNFS difficulty: 183 digits.
Divisors found:

Sun Oct 16 05:18:43 2022  p43 factor: 2286745041467302193668689946190771402897843
Sun Oct 16 05:18:43 2022  p101 factor: 21193653952925307045257041647278815761377785828972585584654487825690899963995473944357861366908142203
Sun Oct 16 05:18:43 2022  elapsed time 00:29:29 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.310).
Factorization parameters were as follows:
#
# N = 19x10^183-4 = 63(182)2
#
n: 48464483087425834313201000626059722104406341567297040327298095617373502123705423508434420223212923612531243908524250490995189054530585725968129
m: 1000000000000000000000000000000000000
deg: 5
c5: 4750
c0: -1
skew: 0.18
# Murphy_E = 5.86e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1371450 hash collisions in 12333045 relations (11683534 unique)
Msieve: matrix is 1161114 x 1161339 (403.1 MB)

Sieving start time : 2022/10/16 01:53:23
Sieving end time  : 2022/10/16 04:48:56

Total sieving time: 2hrs 55min 33secs.

Total relation processing time: 0hrs 24min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 30sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8100000,8100000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

66367017178179015152490236325941027139105140654758788939345996762954542732158692384825965134888453098066018277307<113>

967342127855168134491862643977188708864486825174773<51>
68607595252086013937022580411523407200517512459722925385790959<62>

66367017178179015152490236325941027139105140654758788939345996762954542732158692384825965134888453098066018277307=967342127855168134491862643977188708864486825174773*68607595252086013937022580411523407200517512459722925385790959

cado polynomial
n: 66367017178179015152490236325941027139105140654758788939345996762954542732158692384825965134888453098066018277307
skew: 5676.132
c0: 262212272725522176388884
c1: -1652076884199761160301
c2: 753387405249630494
c3: 152373157565231
c4: -12282911808
c5: -74880
Y0: 4110891382056708380756
Y1: 428305832533071347
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.300e-06
# f(x) = -74880*x^5-12282911808*x^4+152373157565231*x^3+753387405249630494*x^2-1652076884199761160301*x+262212272725522176388884
# g(x) = 428305832533071347*x+4110891382056708380756

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 68607595252086013937022580411523407200517512459722925385790959 967342127855168134491862643977188708864486825174773
Info:Square Root: Total cpu/real time for sqrt: 138.84/40.4465
Info:Filtering - Singleton removal: Total cpu/real time for purge: 75.99/84.1558
Info:Filtering - Merging: Merged matrix has 410563 rows and total weight 63780870 (155.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 65.61/19.3368
Info:Filtering - Merging: Total cpu/real time for replay: 13.83/11.3273
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6683668
Info:Lattice Sieving: Average J: 1895.34 for 106619 special-q, max bucket fill -bkmult 1.0,1s:1.240290
Info:Lattice Sieving: Total time: 12719.8s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 286.86
Info:Polynomial Selection (root optimized): Rootsieve time: 285.8
Info:Linear Algebra: Total cpu/real time for bwc: 2179.89/572.78
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1342.32, WCT time 349.93, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12928 iterations)
Info:Linear Algebra: Lingen CPU time 64.08, WCT time 16.36
Info:Linear Algebra: Mksol: CPU time 739.3,  WCT time 192.25, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6528 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21881/33.950/40.165/47.510/1.082
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16890/31.960/35.556/40.620/0.819
Info:Polynomial Selection (size optimized): Total time: 1825.61
Info:Generate Factor Base: Total cpu/real time for makefb: 4.18/1.18063
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.2/112.667
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 82.7s
Info:Generate Free Relations: Total cpu/real time for freerel: 63.82/16.7533
Info:Square Root: Total cpu/real time for sqrt: 138.84/40.4465
Info:Quadratic Characters: Total cpu/real time for characters: 15.2/5.97264
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.33/26.7309
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 25.999999999999996s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 27710.9/7749.56
Info:root: Cleaning up computation data in /tmp/cado.4r6hym4u
68607595252086013937022580411523407200517512459722925385790959 967342127855168134491862643977188708864486825174773

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)

16556574162472625011720311709750358231980957499796964116849677809066798282717271922734128258028805650567053951078286105269835560105418321888383593864098759442039965130112016552391449<182>

113416933322061441989941342690242224588212427<45>
145979737571092494876942629445821760387820758355794136469945944775634232106930811170683727490266930362516693923706212978589141568463538987<138>

Number: n
N=16556574162472625011720311709750358231980957499796964116849677809066798282717271922734128258028805650567053951078286105269835560105418321888383593864098759442039965130112016552391449  ( 182 digits)
SNFS difficulty: 187 digits.
Divisors found:

Thu Oct 20 04:39:18 2022  p45 factor: 113416933322061441989941342690242224588212427
Thu Oct 20 04:39:18 2022  p138 factor: 145979737571092494876942629445821760387820758355794136469945944775634232106930811170683727490266930362516693923706212978589141568463538987
Thu Oct 20 04:39:18 2022  elapsed time 00:30:13 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 19x10^187-4 = 63(186)2
#
n: 16556574162472625011720311709750358231980957499796964116849677809066798282717271922734128258028805650567053951078286105269835560105418321888383593864098759442039965130112016552391449
m: 10000000000000000000000000000000000000
deg: 5
c5: 475
c0: -1
skew: 0.29
# Murphy_E = 4.944e-11
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 17500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1653460 hash collisions in 14249025 relations (13434152 unique)
Msieve: matrix is 1198634 x 1198859 (417.1 MB)

Sieving start time : 2022/10/20 00:36:39
Sieving end time  : 2022/10/20 04:08:44

Total sieving time: 3hrs 32min 5secs.

Total relation processing time: 0hrs 24min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 34sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9400000,9400000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2914836509857728548173260606751017862443366797681510812168751458990732519708575013934299229150927700106794086873063233045713835084944503077659277298381264874218944244129720239453267<181>

817132100207875166553783911685942964778407593300000382974101906725692712624397884300388783<90>
3567154575271496122494277291195519111004524981632872237920801935939245638253568584828296349<91>

Number: n
N=2914836509857728548173260606751017862443366797681510812168751458990732519708575013934299229150927700106794086873063233045713835084944503077659277298381264874218944244129720239453267  ( 181 digits)
SNFS difficulty: 188 digits.
Divisors found:

Thu Oct 20 15:25:53 2022  p90 factor: 817132100207875166553783911685942964778407593300000382974101906725692712624397884300388783
Thu Oct 20 15:25:53 2022  p91 factor: 3567154575271496122494277291195519111004524981632872237920801935939245638253568584828296349
Thu Oct 20 15:25:53 2022  elapsed time 00:41:08 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.311).
Factorization parameters were as follows:
#
# N = 9x10^188-4 = 63(187)2
#
n: 2914836509857728548173260606751017862443366797681510812168751458990732519708575013934299229150927700106794086873063233045713835084944503077659277298381264874218944244129720239453267
m: 10000000000000000000000000000000000000
deg: 5
c5: 4750
c0: -1
skew: 0.18
# Murphy_E = 3.663e-11
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 17700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1818974 hash collisions in 13722012 relations (12635850 unique)
Msieve: matrix is 1353039 x 1353264 (471.1 MB)

Sieving start time : 2022/10/20 09:56:23
Sieving end time  : 2022/10/20 14:44:13

Total sieving time: 4hrs 47min 50secs.

Total relation processing time: 0hrs 33min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 6sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9800000,9800000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2396891325347595192523590189847313360695907864074355003008221150721827286890783426112933395486188502430164853429778176975991615787291737398985153093165093037071708470672643752927<178>

54414920624332035296743585426532504052348722300798235167<56>
259804542959773071135669385618886645927467275263152213093<57>
169544459729785955397828249605363279263783436687921236992258399917<66>

Number: n
N=2396891325347595192523590189847313360695907864074355003008221150721827286890783426112933395486188502430164853429778176975991615787291737398985153093165093037071708470672643752927  ( 178 digits)
SNFS difficulty: 191 digits.
Divisors found:

Fri Oct 21 12:11:22 2022  found factor: 54414920624332035296743585426532504052348722300798235167
Fri Oct 21 12:14:36 2022  found factor: 54414920624332035296743585426532504052348722300798235167
Fri Oct 21 12:19:29 2022  p56 factor: 54414920624332035296743585426532504052348722300798235167
Fri Oct 21 12:19:29 2022  p57 factor: 259804542959773071135669385618886645927467275263152213093
Fri Oct 21 12:19:29 2022  p66 factor: 169544459729785955397828249605363279263783436687921236992258399917
Fri Oct 21 12:19:29 2022  elapsed time 00:56:01 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 19x10^190-4 = 63(189)2
#
n: 2396891325347595192523590189847313360695907864074355003008221150721827286890783426112933395486188502430164853429778176975991615787291737398985153093165093037071708470672643752927
m: 100000000000000000000000000000000000000
deg: 5
c5: 19
c0: -4
skew: 0.73
# Murphy_E = 3.846e-11
type: snfs
lss: 1
rlim: 10800000
alim: 10800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 11068741)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1487912 hash collisions in 13132804 relations (12411351 unique)
Msieve: matrix is 1473839 x 1474064 (513.4 MB)

Sieving start time : 2022/10/21 08:46:29
Sieving end time  : 2022/10/21 11:23:09

Total sieving time: 2hrs 36min 40secs.

Total relation processing time: 0hrs 40min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 23sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10800000,10800000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

20175091946712630487437177345137760262077356009496076482181625602711558977410527054685663491748581536601880396045006212473847726984059924675449104857901507815219971920140015331577<179>

287976748957078923764594471208359768640198959<45>
2329537867134868759406314403421570139001637672691<49>
30073801144646186045294061647250067022372712436590915163123912557471600785576489579533<86>

Number: n
N=70058058575137250960650122934219203689415972527945843260623338627920977908397551290596791089903383957463105029589371128763047266633303  ( 134 digits)
SNFS difficulty: 133 digits.
Divisors found:

Wed Oct 19 23:51:14 2022  p49 factor: 2329537867134868759406314403421570139001637672691
Wed Oct 19 23:51:14 2022  p86 factor: 30073801144646186045294061647250067022372712436590915163123912557471600785576489579533
Wed Oct 19 23:51:14 2022  elapsed time 01:01:45 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 19x10^191-4 = 63(190)2
#
# n: 20175091946712630487437177345137760262077356009496076482181625602711558977410527054685663491748581536601880396045006212473847726984059924675449104857901507815219971920140015331577
# m: 100000000000000000000000000000000000000
# deg: 5
# c5: 95
# c0: -2
# skew: 0.46
# # Murphy_E = 3.938e-11
# type: snfs
# lss: 1
# rlim: 11100000
# alim: 11100000
# lpbr: 28
# lpba: 28
# mfbr: 54
# mfba: 54
# rlambda: 2.5
# alambda: 2.5
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 20175091946712630487437177345137760262077356009496076482181625602711558977410527054685663491748581536601880396045006212473847726984059924675449104857901507815219971920140015331577 (179 digits)
# Using B1=18020000, B2=58560416470, polynomial Dickson(12), sigma=1:1697550443
# Step 1 took 49691ms
# Step 2 took 18587ms
# ********** Factor found in step 2: 287976748957078923764594471208359768640198959
# Found prime factor of 45 digits: 287976748957078923764594471208359768640198959
# Composite cofactor 70058058575137250960650122934219203689415972527945843260623338627920977908397551290596791089903383957463105029589371128763047266633303 has 134 digits
#

n: 70058058575137250960650122934219203689415972527945843260623338627920977908397551290596791089903383957463105029589371128763047266633303

Y0: -196362273024950710204318932
Y1: 585906759477857
c0: -167539047000021119508443477820025
c1: 889738444785503701175003960
c2: 13346117283253522915557
c3: -6491304992670650
c4: -8037011678
c5: 240

# skew 1227735.15, size 5.743e-13, alpha -6.141, combined = 4.454e-11 rroots = 5

skew: 1227735.15
skew: 1889263.44
type: gnfs
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 88000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4063798 hash collisions in 16956728 relations (12597536 unique)
Msieve: matrix is 1637951 x 1638176 (577.2 MB)

Sieving start time : 2022/10/19 17:08:07
Sieving end time  : 2022/10/19 22:49:07

Total sieving time: 5hrs 41min 0secs.

Total relation processing time: 0hrs 50min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 27sec.

Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.6,2.6,75000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

141026478303736130978516678829458011729675903779022203509318993196573440634867203431546381379267058433817206811<111>

81389901412804332272743225347073111471<38>
1732726982779582516524084098930760075568583736668542934726062647177331541<73>

141026478303736130978516678829458011729675903779022203509318993196573440634867203431546381379267058433817206811=81389901412804332272743225347073111471*1732726982779582516524084098930760075568583736668542934726062647177331541

cado polynomial
n: 141026478303736130978516678829458011729675903779022203509318993196573440634867203431546381379267058433817206811
skew: 30887.133
c0: 214939435403971441240945530
c1: 1339164376159245946597
c2: 89301996581581158
c3: 35617398710957
c4: -321234762
c5: 7560
Y0: -2610196864196935177952
Y1: 6475695843529733
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.584e-06
# f(x) = 7560*x^5-321234762*x^4+35617398710957*x^3+89301996581581158*x^2+1339164376159245946597*x+214939435403971441240945530
# g(x) = 6475695843529733*x-2610196864196935177952

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 81389901412804332272743225347073111471 1732726982779582516524084098930760075568583736668542934726062647177331541
Info:Square Root: Total cpu/real time for sqrt: 90.7/27.0736
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11956/32.420/39.171/46.710/1.082
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9366/31.260/34.679/39.610/0.883
Info:Polynomial Selection (size optimized): Total time: 715.76
Info:Quadratic Characters: Total cpu/real time for characters: 11.61/4.54097
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 84.84/92.4419
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 66.6s
Info:Square Root: Total cpu/real time for sqrt: 90.7/27.0736
Info:Generate Free Relations: Total cpu/real time for freerel: 63.54/16.6481
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.3/20.7237
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.799999999999997s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 63.38/70.4131
Info:Filtering - Merging: Merged matrix has 303973 rows and total weight 47470071 (156.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 48.7/14.3711
Info:Filtering - Merging: Total cpu/real time for replay: 10.29/8.3143
Info:Generate Factor Base: Total cpu/real time for makefb: 2.26/0.639256
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5201772
Info:Lattice Sieving: Average J: 1901.19 for 87451 special-q, max bucket fill -bkmult 1.0,1s:1.313180
Info:Lattice Sieving: Total time: 8464.61s
Info:Linear Algebra: Total cpu/real time for bwc: 1215.93/314.92
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 738.8, WCT time 189.35, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9600 iterations)
Info:Linear Algebra: Lingen CPU time 45.7, WCT time 11.63
Info:Linear Algebra: Mksol: CPU time 406.2,  WCT time 103.97, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4864 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 258.66
Info:Polynomial Selection (root optimized): Rootsieve time: 257.65
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 17892.1/5021.51
Info:root: Cleaning up computation data in /tmp/cado.a6bxd9c0
81389901412804332272743225347073111471 1732726982779582516524084098930760075568583736668542934726062647177331541

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)

30365573565441913004469192983347906992689551205511118376919378486089732520411461387318492831330555498545388868491470875494502902622339592069696412904118193352217061<164>

53671064107558269307108838086792772678209714064275928966027387<62>
565771781692058114273121484362304126650731283922294650831691545974037728409683754049301322953181372703<102>

Number: n
N=30365573565441913004469192983347906992689551205511118376919378486089732520411461387318492831330555498545388868491470875494502902622339592069696412904118193352217061  ( 164 digits)
SNFS difficulty: 193 digits.
Divisors found:

Mon Oct 24 04:42:07 2022  p62 factor: 53671064107558269307108838086792772678209714064275928966027387
Mon Oct 24 04:42:07 2022  p102 factor: 565771781692058114273121484362304126650731283922294650831691545974037728409683754049301322953181372703
Mon Oct 24 04:42:07 2022  elapsed time 01:08:19 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 19x10^193-4 = 63(192)2
#
n: 30365573565441913004469192983347906992689551205511118376919378486089732520411461387318492831330555498545388868491470875494502902622339592069696412904118193352217061
m: 100000000000000000000000000000000000000
deg: 5
c5: 4750
c0: -1
skew: 0.18
# Murphy_E = 2.279e-11
type: snfs
lss: 1
rlim: 11800000
alim: 11800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11800000/11800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1937495 hash collisions in 14064305 relations (12860397 unique)
Msieve: matrix is 1787080 x 1787306 (622.0 MB)

Sieving start time : 2022/10/23 21:05:13
Sieving end time  : 2022/10/24 03:33:27

Total sieving time: 6hrs 28min 14secs.

Total relation processing time: 1hrs 1min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 36sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11800000,11800000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

229415799153884491325300582065216856088312957928515088915461291788135510217252612995118651458153368411549962267645426719759355635333877402319149051458716717018145943048028227980645395511<186>

34943589151120551239154811973196311221<38>
6565318695848039849255777061883325576675338515370244689838054698445287898684348856192326426067022791583887479471075437368705501208376355157596066491<148>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 229415799153884491325300582065216856088312957928515088915461291788135510217252612995118651458153368411549962267645426719759355635333877402319149051458716717018145943048028227980645395511 (186 digits)
Using B1=17950000, B2=58560416470, polynomial Dickson(12), sigma=1:1339688350
Step 1 took 49284ms
Step 2 took 18702ms
********** Factor found in step 2: 34943589151120551239154811973196311221
Found prime factor of 38 digits: 34943589151120551239154811973196311221
Prime cofactor 6565318695848039849255777061883325576675338515370244689838054698445287898684348856192326426067022791583887479471075437368705501208376355157596066491 has 148 digits

2198125542675451316635291071837179750818055594174370658410106487717004108830734083635458458253029433144263557314779952040446882070681654487944927148473561394554595272453873619690841<181>

1353181892367607813202863313070809348959453<43>
1624412471873592438015259849048609755058766656598702134385663268093839941698233420398259396489384474289388020843749504374029238865510196397<139>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2198125542675451316635291071837179750818055594174370658410106487717004108830734083635458458253029433144263557314779952040446882070681654487944927148473561394554595272453873619690841 (181 digits)
Using B1=15090000, B2=46847553490, polynomial Dickson(12), sigma=1:318500343
Step 1 took 41968ms
Step 2 took 15736ms
********** Factor found in step 2: 1353181892367607813202863313070809348959453
Found prime factor of 43 digits: 1353181892367607813202863313070809348959453
Prime cofactor 1624412471873592438015259849048609755058766656598702134385663268093839941698233420398259396489384474289388020843749504374029238865510196397 has 139 digits

36041705542328665220003552194908519012568745672615118931591103128623965896860598454157895504429668946149888453538036430072296430103218183<137>

142127044353055683502662326622036727546724414577371<51>
253587948067068776067325706666943522169574667423256928259052823362657499144467855823173<87>

36041705542328665220003552194908519012568745672615118931591103128623965896860598454157895504429668946149888453538036430072296430103218183=142127044353055683502662326622036727546724414577371*253587948067068776067325706666943522169574667423256928259052823362657499144467855823173

cado polynomial
n: 36041705542328665220003552194908519012568745672615118931591103128623965896860598454157895504429668946149888453538036430072296430103218183
skew: 22855.946
c0: -41520255489743352214504960620
c1: 6170830371442267597222169
c2: 116229927595687239098
c3: -9595706327933147
c4: -858457393500
c5: -4092000
Y0: -176501194339224586540200359
Y1: 23856480063481431649
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.010e-07
# f(x) = -4092000*x^5-858457393500*x^4-9595706327933147*x^3+116229927595687239098*x^2+6170830371442267597222169*x-41520255489743352214504960620
# g(x) = 23856480063481431649*x-176501194339224586540200359

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.sieve.ncurves0 = 12
tasks.sieve.ncurves1 = 13
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 142127044353055683502662326622036727546724414577371 253587948067068776067325706666943522169574667423256928259052823362657499144467855823173
Info:Square Root: Total cpu/real time for sqrt: 567.52/173.097
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7020.75
Info:Polynomial Selection (root optimized): Rootsieve time: 7018.17
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54671/40.530/49.089/54.190/0.952
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44155/39.920/44.016/49.800/1.218
Info:Polynomial Selection (size optimized): Total time: 11441
Info:Quadratic Characters: Total cpu/real time for characters: 50.63/22.9673
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 258.68/254.435
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 224.29999999999998s
Info:Generate Free Relations: Total cpu/real time for freerel: 251.01/64.8132
Info:Square Root: Total cpu/real time for sqrt: 567.52/173.097
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 80.84/80.3652
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 80.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 149.06/146.513
Info:Filtering - Merging: Merged matrix has 1489449 rows and total weight 253963784 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 415.05/114.934
Info:Filtering - Merging: Total cpu/real time for replay: 54.72/47.6914
Info:Generate Factor Base: Total cpu/real time for makefb: 14.62/4.11577
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17380049
Info:Lattice Sieving: Average J: 3799.21 for 832749 special-q, max bucket fill -bkmult 1.0,1s:1.201350
Info:Lattice Sieving: Total time: 275000s
Info:Linear Algebra: Total cpu/real time for bwc: 35402.8/9368.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 22526.86, WCT time 5910.67, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46592 iterations)
Info:Linear Algebra: Lingen CPU time 299.35, WCT time 77.48
Info:Linear Algebra: Mksol: CPU time 12314.05,  WCT time 3280.8, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23296 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 564172/153123
Info:root: Cleaning up computation data in /tmp/cado.wrzf5qbm
142127044353055683502662326622036727546724414577371 253587948067068776067325706666943522169574667423256928259052823362657499144467855823173

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)

2496149519890154664939881928312541718968027739908255490555839574454664151781836737959624018482281405030476674502479393525044584659346420748265129182340626677065972399936025211770185374137281<190>

4731603027180812951245655984871572497831391<43>
527548381711432843987350823899990693304545539948494305672504133571563644545027996626976591730049736158512526200448466495773338521837143681376477791<147>

Number: n
N=2496149519890154664939881928312541718968027739908255490555839574454664151781836737959624018482281405030476674502479393525044584659346420748265129182340626677065972399936025211770185374137281  ( 190 digits)
SNFS difficulty: 198 digits.
Divisors found:

Tue Oct 25 22:37:56 2022  p43 factor: 4731603027180812951245655984871572497831391
Tue Oct 25 22:37:56 2022  p147 factor: 527548381711432843987350823899990693304545539948494305672504133571563644545027996626976591730049736158512526200448466495773338521837143681376477791
Tue Oct 25 22:37:56 2022  elapsed time 01:40:35 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 19x10^198-4 = 63(197)2
#
n: 2496149519890154664939881928312541718968027739908255490555839574454664151781836737959624018482281405030476674502479393525044584659346420748265129182340626677065972399936025211770185374137281
m: 1000000000000000000000000000000000000000
deg: 5
c5: 4750
c0: -1
skew: 0.18
# Murphy_E = 1.413e-11
type: snfs
lss: 1
rlim: 14300000
alim: 14300000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 27208591)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2431014 hash collisions in 15447421 relations (13348654 unique)
Msieve: matrix is 2083631 x 2083857 (725.0 MB)

Sieving start time : 2022/10/25 10:17:21
Sieving end time  : 2022/10/25 20:00:17

Total sieving time: 9hrs 42min 56secs.

Total relation processing time: 1hrs 26min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 12sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14300000,14300000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

92791847076238588358529044964567296448058393210007576874318977436345715940389665706743799469543587437633451891425154444850299704284495145961780569743152225898348688205857935240632437895330019<191>

23753367908208490415033079350962512656224894256151807258027096733541774810548988632523987<89>
3906471176416728557903122909164098405233611113446709869733535686310199338790591017554818492991962927537<103>

Number: n
N=92791847076238588358529044964567296448058393210007576874318977436345715940389665706743799469543587437633451891425154444850299704284495145961780569743152225898348688205857935240632437895330019  ( 191 digits)
SNFS difficulty: 200 digits.
Divisors found:

Thu Oct 27 02:10:37 2022  p89 factor: 23753367908208490415033079350962512656224894256151807258027096733541774810548988632523987
Thu Oct 27 02:10:37 2022  p103 factor: 3906471176416728557903122909164098405233611113446709869733535686310199338790591017554818492991962927537
Thu Oct 27 02:10:37 2022  elapsed time 01:26:13 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 19x10^199-4 = 63(198)2
#
n: 92791847076238588358529044964567296448058393210007576874318977436345715940389665706743799469543587437633451891425154444850299704284495145961780569743152225898348688205857935240632437895330019
m: 5000000000000000000000000000000000000000
deg: 5
c5: 76
c0: -5
skew: 0.58
# Murphy_E = 1.444e-11
type: snfs
lss: 1
rlim: 15300000
alim: 15300000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 15300000/15300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 34850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2608681 hash collisions in 16137827 relations (14263175 unique)
Msieve: matrix is 1974565 x 1974791 (687.0 MB)

Sieving start time : 2022/10/26 13:24:21
Sieving end time  : 2022/10/27 00:43:51

Total sieving time: 11hrs 19min 30secs.

Total relation processing time: 1hrs 16min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 43sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15300000,15300000,27,27,54,54,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

78482576052820208463609284837667518843723208984760274348996372327520520611466830552387851103905869107411940476573390758002058671298060221066257331171530832283223291287<167>

940802911137185189340741105101404255632203597614490881193298450713818438110437<78>
83420847367441982460598160613894958567295197867565368889529439113892487614034760361807051<89>

Number: n
N=78482576052820208463609284837667518843723208984760274348996372327520520611466830552387851103905869107411940476573390758002058671298060221066257331171530832283223291287
  ( 167 digits)
SNFS difficulty: 201 digits.
Divisors found:

Mon Sep  4 01:11:46 2023  prp78 factor: 940802911137185189340741105101404255632203597614490881193298450713818438110437
Mon Sep  4 01:11:46 2023  prp89 factor: 83420847367441982460598160613894958567295197867565368889529439113892487614034760361807051
Mon Sep  4 01:11:46 2023  elapsed time 01:53:45 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.109).
Factorization parameters were as follows:
#
# N = 19x10^201-4 = 63(200)2
#
n: 78482576052820208463609284837667518843723208984760274348996372327520520611466830552387851103905869107411940476573390758002058671298060221066257331171530832283223291287
m: 10000000000000000000000000000000000000000
deg: 5
c5: 95
c0: -2
skew: 0.46
# Murphy_E = 1.509e-11
type: snfs
lss: 1
rlim: 16300000
alim: 16300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16300000/16300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2907241 hash collisions in 18018647 relations (15969633 unique)
Msieve: matrix is 1917710 x 1917936 (542.3 MB)

Sieving start time: 2023/09/03 13:40:29
Sieving end time  : 2023/09/03 23:17:38

Total sieving time: 9hrs 37min 9secs.

Total relation processing time: 1hrs 46min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 10sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16300000,16300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

779967159277504105090311986863711001642036124794745484400656814449917898193760262725779967159277504105090311986863711001642036124794745484400656814449917898193760262725779967159277504105090311986863711<201>

3486597461182749468580335562274252146674301889<46>
29004307265065840154436778437455246952638887289<47>
7712798939005840869965197459341507821979030247529533139697108251376238684743905462330907796622800325002683991<109>

Number: n
N=779967159277504105090311986863711001642036124794745484400656814449917898193760262725779967159277504105090311986863711001642036124794745484400656814449917898193760262725779967159277504105090311986863711  ( 201 digits)
SNFS difficulty: 204 digits.
Divisors found:

Mon Aug 21 09:15:43 2023  prp46 factor: 3486597461182749468580335562274252146674301889
Mon Aug 21 09:15:43 2023  prp47 factor: 29004307265065840154436778437455246952638887289
Mon Aug 21 09:15:43 2023  prp109 factor: 7712798939005840869965197459341507821979030247529533139697108251376238684743905462330907796622800325002683991
Mon Aug 21 09:15:43 2023  elapsed time 03:04:28 (Msieve 1.44 - dependency 8)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 19x10^203-4 = 63(202)2
#
n: 779967159277504105090311986863711001642036124794745484400656814449917898193760262725779967159277504105090311986863711001642036124794745484400656814449917898193760262725779967159277504105090311986863711
m: 5000000000000000000000000000000000
deg: 6
c6: 152
c0: -5
skew: 0.57
# Murphy_E = 9.515e-12
type: snfs
lss: 1
rlim: 17800000
alim: 17800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17800000/17800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3098416 hash collisions in 18289950 relations (15866099 unique)
Msieve: matrix is 2267784 x 2268009 (641.2 MB)

Sieving start time: 2023/08/20 12:55:53
Sieving end time  : 2023/08/21 06:10:51

Total sieving time: 17hrs 14min 58secs.

Total relation processing time: 2hrs 32min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 27min 2sec.

Prototype def-par.txt line would be:
snfs,204,6,0,0,0,0,0,0,0,0,17800000,17800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

9327853221848369040905183163099240941804219067478409175528505966348219903921452586153058451560600897208023009280517440110190674425861891750211133125253169138554334220357<169>

17566017682773898000111994934670415611942441154897343362284605439<65>
531016955026506734754214079522144678165930208195271800706431943668871159486759419056526806912616701714363<105>

Number: n
N=9327853221848369040905183163099240941804219067478409175528505966348219903921452586153058451560600897208023009280517440110190674425861891750211133125253169138554334220357  ( 169 digits)
SNFS difficulty: 205 digits.
Divisors found:

Wed Oct 11 16:30:29 2023  prp65 factor: 17566017682773898000111994934670415611942441154897343362284605439
Wed Oct 11 16:30:29 2023  prp105 factor: 531016955026506734754214079522144678165930208195271800706431943668871159486759419056526806912616701714363
Wed Oct 11 16:30:29 2023  elapsed time 03:20:18 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.081).
Factorization parameters were as follows:
#
# N = 19x10^204-4 = 63(203)2
#
n: 9327853221848369040905183163099240941804219067478409175528505966348219903921452586153058451560600897208023009280517440110190674425861891750211133125253169138554334220357
m: 50000000000000000000000000000000000000000
deg: 5
c5: 76
c0: -5
skew: 0.58
# Murphy_E = 8.895e-12
type: snfs
lss: 1
rlim: 18500000
alim: 18500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18500000/18500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3444898 hash collisions in 18162427 relations (15360782 unique)
Msieve: matrix is 2497956 x 2498181 (704.6 MB)

Sieving start time: 2023/10/10 18:45:41
Sieving end time  : 2023/10/11 13:09:49

Total sieving time: 18hrs 24min 8secs.

Total relation processing time: 3hrs 12min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 51sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18500000,18500000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

9057498987627858876530520592616306669768224533253686670092758322111596795217857301273618000525468380345776382406845932999<121>

982213709340775089939224111208932825531496637<45>
9221515543401355730672224297497889896036447468693674373385570813138004937427<76>

Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:1350533119 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 9057498987627858876530520592616306669768224533253686670092758322111596795217857301273618000525468380345776382406845932999 (121 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1350533119
Step 1 took 4547ms
Step 2 took 4141ms
********** Factor found in step 2: 982213709340775089939224111208932825531496637
Found probable prime factor of 45 digits: 982213709340775089939224111208932825531496637
Probable prime cofactor 9221515543401355730672224297497889896036447468693674373385570813138004937427 has 76 digits

1074899913130058193164552630530750940138148337542648901119893391167393753855211114482704032556880131201578111075459417804565051466292165233748432702322385968318157<163>

133725441481056818689048065041101883<36>
8038110782998054884899389980705825750323572169315777703881451377526291565460354221954576131814690523190983535010508651820361879<127>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:4456124566220839391
Step 1 took 11953ms
Step 2 took 4297ms
********** Factor found in step 2: 133725441481056818689048065041101883
Found prime factor of 36 digits: 133725441481056818689048065041101883
Prime cofactor 8038110782998054884899389980705825750323572169315777703881451377526291565460354221954576131814690523190983535010508651820361879 has 127 digits

GMP-ECM 7.0.5

1742458929078387353672872740144937328038179569225724189035125491282701718499878484106484765304732829268124356132258201978511379307096725936203043416791335865093959311186815563440221986379092243333<196>

766697734965806711724184940037728240910084735615073697261885698615596033678673715726848718082696460149592757750529007229649638075108144032327433<144>

43937034014253006382776543394082921141014145287057318384094608037747<68>
17449920145203540332641886859535323373462901861764320607783694688622608289939<77>

nfs on c144: 766697734965806711724184940037728240910084735615073697261885698615596033678673715726848718082696460149592757750529007229649638075108144032327433

prp77 = 17449920145203540332641886859535323373462901861764320607783694688622608289939
prp68 = 43937034014253006382776543394082921141014145287057318384094608037747

YAFU v2.09

Windows 10 v22H2. Intel i7-12700K

90582508001670483099447036629688915094438894580181993391159858276770078641752617179635406813186876872810590583191188075527858051652156916920359718814320960954790797235972803004657171248887315581292515373<203>

273412766937201404478213319518793530190525528118344557646923386864675070511713578541414839118171875899384101767109883152017498417083980889886605652449202785932193633799574051689403096759339204512749669026650549703563<216>

6375608501762198154511333600213659953249174246666907661796825353320764208586077724899784034503366162289499866995446108775347543818328545055328149553496252070951697201344485905021239073351<187>

4352619405969667813465081432954916037800447<43>
1464775094513886837619322002801357909307505789347143704951761539586010509329163566186597218592801934037806254998255539469013596750451288018683833<145>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:8423597193382542495
Step 1 took 26844ms
********** Factor found in step 2: 4352619405969667813465081432954916037800447
Found prime factor of 43 digits: 4352619405969667813465081432954916037800447
Prime cofactor 1464775094513886837619322002801357909307505789347143704951761539586010509329163566186597218592801934037806254998255539469013596750451288018683833 has 145 digits

8107264765567990413286768751166624956328121332231683644678920236313205810720265256971549068501639591651476834768091996290888485784489323370732072526700473130930667560617318990935614347010403086810277144433408423<211>

3931680325316968195260577002791517948971682669078302426295296719915956006251189403499077917772127788841375842311957902100602306386133399079546891938642839041946742836096379677173044874649423303592716033159749339<211>

122882103116641127202339806064056031014891761782628157098275341686448037850376043266625127081582068564137832143143<114>

151500496767105671422627157996980082642828349147879479<54>
811100331278397022448756487869865705571882887814221880848017<60>

122882103116641127202339806064056031014891761782628157098275341686448037850376043266625127081582068564137832143143=151500496767105671422627157996980082642828349147879479*811100331278397022448756487869865705571882887814221880848017

cado polynomial
n: 122882103116641127202339806064056031014891761782628157098275341686448037850376043266625127081582068564137832143143
skew: 11910.997
c0: -20185679992164299831806560
c1: -7734494766032239934344
c2: 683248634935651796
c3: 139172480565563
c4: -2871173550
c5: 23400
Y0: -11214190985920620697893
Y1: 77750626760399903
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.183e-06
# f(x) = 23400*x^5-2871173550*x^4+139172480565563*x^3+683248634935651796*x^2-7734494766032239934344*x-20185679992164299831806560
# g(x) = 77750626760399903*x-11214190985920620697893

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

cado log (extracts)
Info:Square Root: Factors: 151500496767105671422627157996980082642828349147879479 811100331278397022448756487869865705571882887814221880848017
Info:Square Root: Total cpu/real time for sqrt: 357.12/104.227
Info:Filtering - Singleton removal: Total cpu/real time for purge: 76.55/85.4965
Info:Filtering - Merging: Merged matrix has 424920 rows and total weight 65913886 (155.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 70.61/20.6995
Info:Filtering - Merging: Total cpu/real time for replay: 14.39/11.7667
Info:Generate Factor Base: Total cpu/real time for makefb: 4.2/1.15897
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6835157
Info:Lattice Sieving: Average J: 1898.83 for 120253 special-q, max bucket fill -bkmult 1.0,1s:1.262030
Info:Lattice Sieving: Total time: 14055.1s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 342.26
Info:Polynomial Selection (root optimized): Rootsieve time: 341.2
Info:Linear Algebra: Total cpu/real time for bwc: 2372.96/621.19
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1461.0, WCT time 379.28, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations)
Info:Linear Algebra: Lingen CPU time 66.92, WCT time 17.08
Info:Linear Algebra: Mksol: CPU time 808.68,  WCT time 209.87, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21614/33.130/40.268/45.620/1.087
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16717/31.690/35.659/40.710/0.814
Info:Polynomial Selection (size optimized): Total time: 1821.13
Info:Generate Free Relations: Total cpu/real time for freerel: 63.6/17.1039
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 105.65/112.186
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 84.29999999999998s
Info:Square Root: Total cpu/real time for sqrt: 357.12/104.227
Info:Quadratic Characters: Total cpu/real time for characters: 15.7/6.16947
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 28.11/27.2055
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 26.7s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 30645.9/8580.51
Info:root: Cleaning up computation data in /tmp/cado.f1mjjlkv
151500496767105671422627157996980082642828349147879479 811100331278397022448756487869865705571882887814221880848017

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)

1445946878637555059419704583563027926590270637350795232008606047066502144614110961114925655339323273569906874517837866635488783184343347670889312921082017225307370750779794282387274508806241207<193>

278904187499300573384613157945672254455480975383351450642996095007490939946485372090011256785500758749479112059081749264487556430850373909387646240918504293618637733139153<171>

3507297256336384635203809103594044385021<40>
79521114725997120392497568356175359093724359694730035318254947733556186215507429915366551662388573998499543483913139530544668968293<131>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:1700661312421768984
Step 1 took 13031ms
Step 2 took 4375ms
********** Factor found in step 2: 3507297256336384635203809103594044385021
Found prime factor of 40 digits: 3507297256336384635203809103594044385021
Prime cofactor 79521114725997120392497568356175359093724359694730035318254947733556186215507429915366551662388573998499543483913139530544668968293 has 131 digits

GMP-ECM 7.0.5

89355775102411499348485021246504609012139538479305436082846786833356032129638977326329539891645020198190776628312645011379321395800929444832013792405488565610100141394283391059406499998124113317945752569<203>

10725374372034004967706084786087696009258533462052370851625943254661175894297346224862911924769980611075200508644065169145041854606992544911863282667528998094786712430133<170>

38016042768613018544137359204183002732123514653575742758188703184823241242683295826651568902950141919833144802254095289909824970194034497334521793960722167706467091092206830037315876216885035773<194>

12753739836343935422645008039173928265429<41>
2980776090498559865686882456258747667331851934369664984151125585927910824331380440016955658569474725747080887170987172436951893248574238901610679881568137<154>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:12566561819925662608
Step 1 took 22422ms
Step 2 took 7532ms
********** Factor found in step 2: 12753739836343935422645008039173928265429
Found prime factor of 41 digits: 12753739836343935422645008039173928265429
Prime cofactor 2980776090498559865686882456258747667331851934369664984151125585927910824331380440016955658569474725747080887170987172436951893248574238901610679881568137 has 154 digits

GMP-ECM 7.0.5

3835827708047111832968744349915448723171749700700238621999812228981891002350351719550802227349959264243884328581410636393525552169097347928717066806831664402873901080610716837637<178>

76324793978946582799562621794468057227565461554859970186960228080306894672289860980995733252498724175560069674576821820418375540532856143539056375777535199749045142139347506435712913008824920719084695379345071077311926405211<224>

33600215244898758541948771391391110975601506866019200681319043353288797254482418191962316659050067890178011455895154289908757397379491930972544400583512033440355492298170189763733311343878161699<194>

4173797700138982769223324042705843580598642869145957225608800879056849099834662395017945084344771023051661222313852434569041624787558389<136>

256979265679142937911058864371469610217<39>
16241768335311024043552258390719542682147032351777007585891811903268314097939338587405973719139117<98>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3074433409
Step 1 took 5907ms
Step 2 took 3406ms
********** Factor found in step 2: 256979265679142937911058864371469610217
Found prime factor of 39 digits: 256979265679142937911058864371469610217
Prime cofactor 16241768335311024043552258390719542682147032351777007585891811903268314097939338587405973719139117 has 98 digits
 

GMP-ECM

3136199072876769729096646171448776810321005560651607035980718853509768601715214215085174416398789806307302964827035119412723222156042261409206669102389153322338293088540394698322562946710167655171115818457124349813150870096219167<229>

340405319112009898546609915162015125532605210932868464080402035543250655841844642476492696602738054593248710038782381931698770630282251443558884971730652902083855360260074030676377285423080627948202895515098353865975900194602027<228>

6385235893921431934825324472991192605367795824194633300207636734473237580888568103320729404344809171594502662615592843154105259469701036342967707981583289189694261138583010791193635804328224829119791145075394886823705171069167<226>

17246478630638231234560351912425379245587044154082865412763115210800712147109177499880980390872263102003148447751055696959888043455442036177256825617569860345533047402481341845914625207096213066366681485583<206>

2267845792020434063701336625136101182817<40>

7604784545457681005641996211585323739254028012914277747186817745433416208757628682750505365553650648037174351497024195743729894330198661078135336759725175697439065199<166>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1291714984
Step 1 took 6625ms
Step 2 took 3313ms
********** Factor found in step 2: 2267845792020434063701336625136101182817
Found prime factor of 40 digits: 2267845792020434063701336625136101182817
Composite cofactor 7604784545457681005641996211585323739254028012914277747186817745433416208757628682750505365553650648037174351497024195743729894330198661078135336759725175697439065199 has 166 digits

GMP-ECM

35615465923362726727466984866020427262781208128331034241858295295352223793872325760329266203325894244458401536765957414361473084922884537903811691453671395959737575117218280750176120001146602189289179044728649070850149721732153<227>

3454723761793587393009817138163348738732421768002038845475079126517912042244865717506640260061556616746251412045455382439208773430200003947981025152185699423659473315281321976874733598115943284066986720911<205>

159610964238432732812142902553176249<36>

21644651908955288858414776090884690418802840893386040658680026612754168443940330488701587136178760791550820078996214832784082837920578321314723437083351391314430418152839<170>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2236156444
Step 1 took 6453ms
Step 2 took 3281ms
********** Factor found in step 1: 159610964238432732812142902553176249
Found prime factor of 36 digits: 159610964238432732812142902553176249
Composite cofactor 21644651908955288858414776090884690418802840893386040658680026612754168443940330488701587136178760791550820078996214832784082837920578321314723437083351391314430418152839 has 170 digits
 

GMP-ECM

1879711892737467777951681311574987327813556843405198557535628826528869397767308187181449676720129041353760616225688307727652553663682564068554448016709485574452534468112339403881458111589600026653172317773449097695923<217>

407026563838903170522707797772065124250214224507283633247643530419880034275921165381319622964867180805484147386461011139674378748928877463581833761782347900599828620394173093401885175664095972579263067694944301628106255355612682090831191088260497<246>

12303143248684340814156151967397393851650716218766113053067776204988367986396462712207656863143290443729516689780293562409010847000738909271063686325332785649373489335759107020293222166743375661<194>

841410270896605674498773066572768319795210427265463185579479919850482456260622801378421608251251997057095704730845012527405209653143494807236728805737376501900986187047162878429384421347654232064198204965391264597<213>

549443709505604791125444670731517531<36>
1531385756793385541889555709626653901397930160385095627234233169340041298605537510306450735440531913826896541399312391831403139330843813032093910904107089686519136660527898217487<178>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2884018300
Step 1 took 9641ms
********** Factor found in step 1: 549443709505604791125444670731517531
Found prime factor of 36 digits: 549443709505604791125444670731517531
Prime cofactor 1531385756793385541889555709626653901397930160385095627234233169340041298605537510306450735440531913826896541399312391831403139330843813032093910904107089686519136660527898217487 has 178 digits

GMP-ECM

22648222972734940297177901273983390530677748276284851121798494223548408055017048232084806550169169974259668566138533716985902557736754159774504526167034984807728763054366838088379573348424016827840047446336085485394395289995560068464470439<239>

2531337367523763774995874537112681980133<40>
8947137297186967133724166909945660653228161334658272766624795224550904021683819292102109922560911158518008631103482596757290517651947072058829826368700283582956649480403634072801504866752936056361883<199>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 22648222972734940297177901273983390530677748276284851121798494223548408055017048232084806550169169974259668566138533716985902557736754159774504526167034984807728763054366838088379573348424016827840047446336085485394395289995560068464470439 (239 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1212106542
Step 1 took 22194ms
Step 2 took 9362ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3734154588
Step 1 took 21878ms
Step 2 took 9359ms
Run 3 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2591422149
Step 1 took 25168ms
Step 2 took 9423ms
Run 4 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:383451760
Step 1 took 21896ms
Step 2 took 8453ms
** Factor found in step 2: 2531337367523763774995874537112681980133
Found prime factor of 40 digits: 2531337367523763774995874537112681980133
Prime cofactor 8947137297186967133724166909945660653228161334658272766624795224550904021683819292102109922560911158518008631103482596757290517651947072058829826368700283582956649480403634072801504866752936056361883 has 199 digits

4x Xeon E7-8890v4, 1024GB DDR4, Ubuntu Server 24.04

215499176213566162602048567551248718921258794853564937445402974064103154697601971496886731264953268945168915942629610401502348899052084843588771907577981298677749014752806288827204633926084862148979149031747367597<213>

87444710378286529705376609717198146956903698408938391415929993964955604916621118733188893140084012947833367507896194319170543170664421738984394051788635242962550594914265159652729742002181529006025149010856752062111659113<221>

2672367195746143642813200280341008981206070319559791706139690315708172075617287354870386040795897794211517276459303201789393080986540175397053209947294339<154>

674619693117106165473867839298469120631<39>

3961294375203262333790106430437616272795379413406652631165175617433551654761354459206395609459144749790211651286869<115>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3881378948
Step 1 took 5922ms
Step 2 took 3640ms
********** Factor found in step 2: 674619693117106165473867839298469120631
Found prime factor of 39 digits: 674619693117106165473867839298469120631
Composite cofactor 3961294375203262333790106430437616272795379413406652631165175617433551654761354459206395609459144749790211651286869 has 115 digits
 

GMP-ECM

3961294375203262333790106430437616272795379413406652631165175617433551654761354459206395609459144749790211651286869<115>

87366122924364581457775135456374116362943990320527079<53>
45341308994936987382105881964732648316351271372129089914791011<62>

3961294375203262333790106430437616272795379413406652631165175617433551654761354459206395609459144749790211651286869=87366122924364581457775135456374116362943990320527079*45341308994936987382105881964732648316351271372129089914791011

cado polynomial
n: 3961294375203262333790106430437616272795379413406652631165175617433551654761354459206395609459144749790211651286869
skew: 38072.878
c0: 45898932249872656989941394
c1: -149300330779323691124983
c2: -262382623042565070
c3: 140639890101667
c4: 91992696
c5: -21600
Y0: -18561747089458740786178
Y1: 3996811546897153
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.057e-06
# f(x) = -21600*x^5+91992696*x^4+140639890101667*x^3-262382623042565070*x^2-149300330779323691124983*x+45898932249872656989941394
# g(x) = 3996811546897153*x-18561747089458740786178

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

cado log (extracts)
Info:Square Root: Factors: 45341308994936987382105881964732648316351271372129089914791011 87366122924364581457775135456374116362943990320527079
Info:Square Root: Total cpu/real time for sqrt: 600.88/466.532
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 362.78
Info:Polynomial Selection (root optimized): Rootsieve time: 361.59
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21715/33.680/40.886/45.980/1.073
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16948/32.450/36.174/41.320/0.820
Info:Polynomial Selection (size optimized): Total time: 1805.22
Info:Generate Factor Base: Total cpu/real time for makefb: 4.22/3.258
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 119.69/178.676
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 146.89999999999998s
Info:Quadratic Characters: Total cpu/real time for characters: 16.49/14.0613
Info:Square Root: Total cpu/real time for sqrt: 600.88/466.532
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 31.21/59.2992
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 88.95/138.432
Info:Generate Free Relations: Total cpu/real time for freerel: 64.07/46.8679
Info:Filtering - Merging: Merged matrix has 447039 rows and total weight 69791908 (156.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 77.76/62.2736
Info:Filtering - Merging: Total cpu/real time for replay: 16.58/19.1581
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7216848
Info:Lattice Sieving: Average J: 1914.67 for 154518 special-q, max bucket fill -bkmult 1.0,1s:1.262560
Info:Lattice Sieving: Total time: 35118.8s
Info:Linear Algebra: Total cpu/real time for bwc: 3004.41/2769.01
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1670.67, WCT time 1538.85, iteration CPU time 0.08, COMM 0.02, cpu-wait 0.01, comm-wait 0.0 (14080 iterations)
Info:Linear Algebra: Lingen CPU time 377.68, WCT time 341.55
Info:Linear Algebra: Mksol: CPU time 916.33,  WCT time 852.11, iteration CPU time 0.09, COMM 0.02, cpu-wait 0.01, comm-wait 0.0 (7040 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 38340.7/22336.3
Info:root: Cleaning up computation data in /tmp/cado.egyxun7m
45341308994936987382105881964732648316351271372129089914791011 87366122924364581457775135456374116362943990320527079

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)

1335385175291157154298561804407214811592021124431231145958546783160141133036679814649888092678076723397800127983588851028801561252240333352718665214298889660639039341821604125564538370983551105592814946786885698798151570835677167492398137297<241>

11983408196993928413044293182456831062367917293911624527555374522748389139076680847112581982192474730641611565255143170232250387372955996930020531952340878308106455352124272556580966959188715252571687345965943971<212>

33687943262411347517730496453900709219858156028368794326241134751773049645390070921985815602836879432624113475177304964539007092198581560283687943262411347517730496453900709219858156028368794326241134751773049645390070921985815602836879432624113475177304964539<260>

146529205343268691318247384141073480531734072803346595169430133074003722476208371035690812814492417349522660341321329240097451264048990554059022819184083855263449093789038304325698559081858826007475979311137554751047190377<222>

142402301932507844051748578457964547115629247545574081019148148814332838133035671954395481217837581285761355692584208159212181366664776510538187138138016366144233704362028040291630404527762890028818830630404475949<213>

2622608368491086350819942478379408747566718365799499816609888860161148623724651251329767871189065098738330853751270761365291075057951133397972299133139714851238669317775655928689502544274073074584049111750006258177685219251222184273893863<238>

11572166700182359987710576234940022874355362042746303530895827539304354096218565776909817533861517501594457681490775738539639697630692039040368602476013583085605584798693539902314607191477408203045578235402436605409044715671366134196879<236>

132718772302403092433572553289763888195321251739142759790343499319668208561185347816697746288725060471486715604577215548611055802327182634457633646253028571111405317625604040691120973161898116566360835022342693962018158350744923717987<234>

7173088309452937800183768506544048322681321773374888906845516270341520135832961334912362794465345876427605080798207320153744228967762939782618835646092219610907196747122193421198972445524927299326702658079263359790074878019830347751855447830743533951537<253>

35279024511294087875492676472662767847296714106667069030800293009920668461156701700937141299582623392623367026382172909787338450738929819146363788211641222029335379202380763137454276015716936682229950106447240003577373741683200194666983449449<242>

76863660297345608870165064479363278480463390381931481716638503341496768801369577654947673938032148500956514865884122412873265190702555104315123107256437537229100086357363975313066111503933157361010465623935831360880630266978534664092842285950931339225723<254>

1488138595516724014828752842736332856815690432083390900800054638183380656140670765157004887673732348718180072289073585163978775070827564838198606663665326088761358022022571459632125873341547858380585649895188049025237890702955944518433651105749634936105594555229835957<268>

21821775490419011986196858007799725751684536588583214133854054530382218759360127321699448433506471203855273105836470681550676289102326715627020979602542795643533846065249811524434087197629078704400546824014741918079909167606338092984505768602537793727<251>

1721089010041715188237739149179269411004875001741202508423404729721339353851344380140997623412305514887086586685931089651192090460185360819792553082743723712392083024472696155767574100934261402840172781762619437099<214>

7040541223023857657933021368244975857957217987616902520050009506857529123703639254660759718875396344001344230964802490459679316292181891801528750753749509801935212677187977395646254193575240701287542910510839281891023031038036060739698957082909272510153140717137<262>

307861547781736464529325525032615472808802066706045491528525792983834153182470958385889978666882146512515243069515288527326707818579189238835180982981055054729171499573968346025960599253408868221436687449351601942340560932365902869557517<237>

102978069702782212913158111725649470752933836086623165746230415885128307112673702068986744685982738574593274013313891606265053202149752290941282760350791463318676570683673962233821990445149575622736030257927424592811829003805403474117178500449867258716279<255>

105966106812224387022307080764639443439397490896661860933635607396297590456778246633004890909904682261870511537606976588799537835269852093458378393352602148146038892808059306958088981277<186>

24630308573113019582617223465346343294039333<44>

4302264687333202695683331209481840649642810714284187547252676608147216014216641830496775217108498764193707955098497673308484547631261574998169<142>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3544029223
Step 1 took 31140ms
Step 2 took 13469ms
********** Factor found in step 2: 24630308573113019582617223465346343294039333
Found prime factor of 44 digits: 24630308573113019582617223465346343294039333
Composite cofactor 4302264687333202695683331209481840649642810714284187547252676608147216014216641830496775217108498764193707955098497673308484547631261574998169 has 142 digits

GMP-ECM

4302264687333202695683331209481840649642810714284187547252676608147216014216641830496775217108498764193707955098497673308484547631261574998169<142>

66688249483519818787444759160254232822260774557884230231<56>
64513084698622806437550287861901708565068550270005279122990334918666067333017588256399<86>

4302264687333202695683331209481840649642810714284187547252676608147216014216641830496775217108498764193707955098497673308484547631261574998169=66688249483519818787444759160254232822260774557884230231*64513084698622806437550287861901708565068550270005279122990334918666067333017588256399

cado polynomial
n: 4302264687333202695683331209481840649642810714284187547252676608147216014216641830496775217108498764193707955098497673308484547631261574998169
skew: 706204.462
c0: -2023630277612975861278108120684600
c1: -49471091105074360860058262863
c2: -332186960849175776142454
c3: 99137813242478923
c4: -188521729966
c5: 139440
Y0: -2285283964788723944170641546
Y1: 16953359841887641003
# MurphyE = 2.114e-07
# f(x) = 139440*x^5-188521729966*x^4+99137813242478923*x^3-332186960849175776142454*x^2-49471091105074360860058262863*x-2023630277612975861278108120684600
# g(x) = 16953359841887641003*x-2285283964788723944170641546

cado parameters (extracts)
tasks.lim0 = 14900000
tasks.lim1 = 14900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 66688249483519818787444759160254232822260774557884230231 64513084698622806437550287861901708565068550270005279122990334918666067333017588256399
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 564.03/330.791
Info:HTTP server: Got notification to stop serving Workunits
Info:Linear Algebra: Total cpu/real time for bwc: 104537/63470.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 68556.74, WCT time 41213.73, iteration CPU time 0.44, COMM 0.03, cpu-wait 0.14, comm-wait 0.01 (66048 iterations)
Info:Linear Algebra: Lingen CPU time 214.05, WCT time 217.02
Info:Linear Algebra: Mksol: CPU time 35271.21,  WCT time 21717.05, iteration CPU time 0.48, COMM 0.03, cpu-wait 0.14, comm-wait 0.0 (33024 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7664.75
Info:Polynomial Selection (root optimized): Rootsieve time: 7662.53
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 34914398
Info:Lattice Sieving: Average J: 3828.87 for 1220752 special-q, max bucket fill -bkmult 1.0,1s:1.179860
Info:Lattice Sieving: Total time: 728925s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 69931.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 48469/41.530/50.997/55.640/0.920
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39740/41.700/45.609/51.700/1.108
Info:Polynomial Selection (size optimized): Total time: 17085
Info:Square Root: Total cpu/real time for sqrt: 564.03/330.791
Info:Generate Factor Base: Total cpu/real time for makefb: 4.99/4.43191
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 154.83/299.055
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 297.70000000000005s
Info:Quadratic Characters: Total cpu/real time for characters: 73.08/50.4658
Info:Filtering - Singleton removal: Total cpu/real time for purge: 427.82/562.571
Info:Filtering - Merging: Merged matrix has 2108171 rows and total weight 358725182 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 582.83/308.308
Info:Filtering - Merging: Total cpu/real time for replay: 84.45/85.9015
Info:Generate Free Relations: Total cpu/real time for freerel: 229.73/115.314
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 665.86/714.562
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 558.5999999999999s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 823880/128282
Info:root: Cleaning up computation data in /tmp/cado.nz2z8muz
66688249483519818787444759160254232822260774557884230231 64513084698622806437550287861901708565068550270005279122990334918666067333017588256399

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)

10705173189976353980515143351681227953248907485519609973380297719982379849905682609248598949928523004283632649447159123555444584862614238119456278869138374487537309215779096138444746988188031456662206696895874828319846851606944618922732109<239>

283635168330766681674694744632342656670118459764383437405144491565443151255677312369726543047685935667378105448432068151491520740780358272200985292416474024356703086909299361719681402193109997654514146974334438542291904697667088413152799260374829223547<252>

9590755658054117943818225870689646159487539302403802505023186383694724816307892226228376492364348126315196977215293835744662641637853463777188780429806243489155794143273045593207902613000630613065520412488089196967820582621674044218979<235>

15360648682371204257516295408107808420008433327958915238089911098348235540043689084060014246803423569847843945467194603953611224147781943277505097319771503945474290026426684621445486671<185>

211886234738775328101275226130210012325908109<45>
72494792789671460811809040891197030006562653184650414212423999339764382128762367607943918957900622043861529009502176625789402679251343321419<140>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3000637162
Step 1 took 31344ms
Step 2 took 13687ms
********** Factor found in step 2: 211886234738775328101275226130210012325908109
Found prime factor of 45 digits: 211886234738775328101275226130210012325908109
Prime cofactor 72494792789671460811809040891197030006562653184650414212423999339764382128762367607943918957900622043861529009502176625789402679251343321419 has 140 digits
 

GMP-ECM

114071929722315107770901348767215420615120804454416785589888238817307795703756244116492052740175899631627095186195536645089856497920867633197997554828377316442143135144604424073571070343200163974443413977377424850480551<219>

398684578645003908493267067050096601496380153635036944278532047009388374243675831116745319884635799333259293720285460094908039313012101454990874618081148679802850332005728704728943551776224204630562780614049407457361267815604924091068607999059877<246>

15833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<290>

281963215991401760523386973834867444864670136470176113829478905667548789242644034945024381461247643446575874948047634800054304168132294003930835445016113432198480449202228178964139097815565366645926437826217519747371147755664066888677806935203726144594083738468130496788853276813<279>

19237737984377116875661634348626281176006898863210049167221538023033678012128126832408717949176757973020050557085731539284932543804257274376106252290312148372188214012044027809739905497125147527890767500522394533936756727267<224>

243820900127412927754043712211562667448171<42>
78901103122513682476762434108912870946568423519063897118614879010423740870776485836663665345967742693220896263081849421822925402621717544138239448863946042441572697136869887748131177<182>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 19237737984377116875661634348626281176006898863210049167221538023033678012128126832408717949176757973020050557085731539284932543804257274376106252290312148372188214012044027809739905497125147527890767500522394533936756727267 (224 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2365634835
Step 1 took 20399ms
Step 2 took 8847ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1933850366
Step 1 took 21578ms
Step 2 took 8725ms
Run 3 out of 0:
...
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:877449307
Step 1 took 21512ms
Step 2 took 8647ms
Run 21 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:335646208
Step 1 took 20829ms
Step 2 took 8674ms
** Factor found in step 2: 243820900127412927754043712211562667448171
Found prime factor of 42 digits: 243820900127412927754043712211562667448171
Prime cofactor 78901103122513682476762434108912870946568423519063897118614879010423740870776485836663665345967742693220896263081849421822925402621717544138239448863946042441572697136869887748131177 has 182 digits

4x Xeon E7-8890v4, 1024GB DDR4, Ubuntu Server 24.04

46938707415208255135522988417963885978638457706200357361741524709544445474737674898975438855491141120382210880777717908629303938725265178166893371636768142753690227509653995819930647159498867050087969594581500551758824752291891604093811916013020611<248>

5839950052844498840036497257626707811130778762153163795219531723135493982403302761986873179742098753853940332931588373183080403629294501518570772875787186258642705038971646162681308396272760764383038420801008220153932752629012050065129610588031928724482753507088755697300225877421<280>

376510232028918221344625218801001255917<39>
15510733988222545838667874995296696636626194464553908385558036064719638188384877081843309636657749643271490740479938570120457597066907987844067101576703257175698596063833763451802076498574293841810175489702504150265759692235609317143470776513<242>

setsuna finished gmp-ecm ecm40_63332_294, b1=3e6, 94 curves, FACTOR FOUND, not submitting @TKoz
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 5839950052844498840036497257626707811130778762153163795219531723135493982403302761986873179742098753853940332931588373183080403629294501518570772875787186258642705038971646162681308396272760764383038420801008220153932752629012050065129610588031928724482753507088755697300225877421 (280 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2306673662
Step 1 took 28155ms
Step 2 took 9793ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2561740622
Step 1 took 25378ms
Step 2 took 9802ms
** Factor found in step 2: 376510232028918221344625218801001255917
Found prime factor of 39 digits: 376510232028918221344625218801001255917
Prime cofactor 15510733988222545838667874995296696636626194464553908385558036064719638188384877081843309636657749643271490740479938570120457597066907987844067101576703257175698596063833763451802076498574293841810175489702504150265759692235609317143470776513 has 242 digits

4x Xeon E7-8890v4, 1024GB DDR4, Ubuntu Server 24.04

1511236647712848328497929871798709267864469241898073567592338675232336527413662935979501375394267290686491664505713295411384930540675241534647119754613507294730118867189754277878400698211759889342066887910265114784256475040487113668657627121575893124872205451890304326517307059<277>

11171823511840015097606997826285598701927433809863890247345388516928591374241134572463405714258415388971729998596981252349171358696715785197479056998005469888017618286485903706962201880539316285017289656360675705537880464619826643136096889534618092707920136825852429943360451777742605427817<290>

2812314979277679100059206631142687981053878034339846062759029011249259917110716400236826524570751924215512137359384251036116044997039668442865600947306098283007696862048549437537004144464179988158673771462403789224393132030787448194197750148016577856719952634695085849615156897572528123149792776791<298>