3286255183838979687775020083772276862283967059212005638550916944103823700442099555250661851663133883275497565501080794046858248250084755902116471027<148>

31232788681368685795294399967406339395633264064332383<53>
105218116043519721561367053348087709512563516716067358265666035674496776425165799492326079820269<96>

nfs: commencing nfs on c148: 3286255183838979687775020083772276862283967059212005638550916944103823700442099555250661851663133883275497565501080794046858248250084755902116471027
nfs: parnfs: sing special-q from .dat file
nfs: commencing lattice sieving with 7 threads
nfs: commencing msieve sqrt
prp53 = 31232788681368685795294399967406339395633264064332383
prp96 = 105218116043519721561367053348087709512563516716067358265666035674496776425165799492326079820269
NFS elapsed time = 10330.0070 seconds.

YAFU v2.09.

Windows 10 v22H2, Intel i7-7700

152380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381<168>

712536356568913601780289893636562431739020712967<48>
213857090906511124182557258395990283709582091501829087622046248243667491331646992007278752292199289062313655336151724443<120>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 152380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381 (168 digits)
Using B1=51970000, B2=288593765476, polynomial Dickson(12), sigma=1:37139321
Step 1 took 126868ms
Step 2 took 42368ms
********** Factor found in step 2: 712536356568913601780289893636562431739020712967
Found prime factor of 48 digits: 712536356568913601780289893636562431739020712967
Prime cofactor 213857090906511124182557258395990283709582091501829087622046248243667491331646992007278752292199289062313655336151724443 has 120 digits

323200563182838034180819177545721499927935670597717241673875321271893399035319181107823709542095712211956107917694101866729277198976287<135>

20574739459992377010519273069546061471519121747<47>
15708610250511419149290926929953773660125907853166653565634155429400333513682876271826821<89>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1999478796
Step 1 took 16625ms
Step 2 took 7953ms
********** Factor found in step 2: 20574739459992377010519273069546061471519121747
Found prime factor of 47 digits: 20574739459992377010519273069546061471519121747
Prime cofactor 15708610250511419149290926929953773660125907853166653565634155429400333513682876271826821 has 89 digits
 

GMP-ECM

231285547200949117105789539287747208066098375350200563672698872347110092470601853072969707620469972744286980674128709677099060190034160232536247<144>

495891423703843124795302511791345609<36>

466403603985451765034617992730037340612168158455236946012492941690353150020985132306448610025147937219552383<108>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3503960118
Step 1 took 3438ms
********** Factor found in step 2: 495891423703843124795302511791345609
Found prime factor of 36 digits: 495891423703843124795302511791345609
Composite cofactor 466403603985451765034617992730037340612168158455236946012492941690353150020985132306448610025147937219552383 has 108 digits

GMP-ECM

466403603985451765034617992730037340612168158455236946012492941690353150020985132306448610025147937219552383<108>

26611385167098740254219931759523505405852987<44>
17526468504243614410533226457391932553775876542440614704170586509<65>

N=466403603985451765034617992730037340612168158455236946012492941690353150020985132306448610025147937219552383
  ( 108 digits)
Divisors found:
 r1=26611385167098740254219931759523505405852987 (pp44)
 r2=17526468504243614410533226457391932553775876542440614704170586509 (pp65)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.10 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 466403603985451765034617992730037340612168158455236946012492941690353150020985132306448610025147937219552383
type: gnfs
qintsize: 50000
skew: 2353816.17
c0: 37204380059612293515561038387
c1: -195900579966597265058636
c2: -160212915892604727
c3: 98612217816
c4: 10080
Y0: -82475407207983899502917574
Y1: 67779682305173
rlim: 2920000
alim: 2920000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 2920000/2920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1460000, 2460001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 363111 x 363339
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,107,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2920000,2920000,26,26,52,52,2.5,2.5,150000
total time: 0.10 hours.
 --------- CPU info (if available) ----------

19089194452587798731667206621479213595732698594304833737539463860263971045102200505005772759928393309190007072646530135159242929087459<134>

368738640964499865495111811392209001584184842132542731817<57>
51768901687809826539862928630618404209451716198369552946411213674809171645227<77>

19089194452587798731667206621479213595732698594304833737539463860263971045102200505005772759928393309190007072646530135159242929087459=368738640964499865495111811392209001584184842132542731817*51768901687809826539862928630618404209451716198369552946411213674809171645227

cado polynomial
n: 19089194452587798731667206621479213595732698594304833737539463860263971045102200505005772759928393309190007072646530135159242929087459
skew: 0.25
type: snfs
c0: 1
c5: 1000
Y0: 200000000000000000000000000000000000
Y1: -1
# f(x) = 1000*x^5+1
# g(x) = -x+200000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6900000
tasks.lim1 = 6900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 51768901687809826539862928630618404209451716198369552946411213674809171645227 368738640964499865495111811392209001584184842132542731817
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 641.74/39.4874
Info:HTTP server: Got notification to stop serving Workunits
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22411761
Info:Lattice Sieving: Average J: 3791.38 for 290347 special-q, max bucket fill -bkmult 1.0,1s:1.185390
Info:Lattice Sieving: Total time: 89918s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 202.46/112.76
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 97.8s
Info:Linear Algebra: Total cpu/real time for bwc: 6928.87/899.43
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4461.95, WCT time 579.73, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (22272 iterations)
Info:Linear Algebra: Lingen CPU time 44.77, WCT time 6.92
Info:Linear Algebra: Mksol: CPU time 2351.36,  WCT time 302.17, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (11264 iterations)
Info:Square Root: Total cpu/real time for sqrt: 641.74/39.4874
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 83.46/65.4814
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 65.4s
Info:Generate Free Relations: Total cpu/real time for freerel: 70.44/6.49728
Info:Quadratic Characters: Total cpu/real time for characters: 18.81/3.53174
Info:Filtering - Singleton removal: Total cpu/real time for purge: 166.76/94.2327
Info:Filtering - Merging: Merged matrix has 704941 rows and total weight 119883981 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 226.45/12.2054
Info:Filtering - Merging: Total cpu/real time for replay: 13.03/11.4757
Info:Generate Factor Base: Total cpu/real time for makefb: 1.07/0.170307
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 178768/8849.68
Info:root: Cleaning up computation data in /tmp/cado.rlpbox2r
51768901687809826539862928630618404209451716198369552946411213674809171645227 368738640964499865495111811392209001584184842132542731817

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)

248145440041816060442761463053848560984166368312505834852178792857814995923085611473973792561089663515524868778666609039073251964880284345761687<144>

4712916051900878438185655586596540147737132410761<49>
52652208804298691465938830381556496764456806501505074023796847577980651153929243381646021428767<95>

nfs: commencing nfs on c144: 248145440041816060442761463053848560984166368312505834852178792857814995923085611473973792561089663515524868778666609039073251964880284345761687
nfs: commencing lattice sieving with 7 threads
nfs: commencing msieve filtering
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp95 = 52652208804298691465938830381556496764456806501505074023796847577980651153929243381646021428767
prp49 = 4712916051900878438185655586596540147737132410761

YAFU v2.09

Windows 10 v22H2, Intel i7-7700.

1348045503511796436016172004657141312084703898889565011458828683910568567669461659695709064579567607425807490915417330113357439838749865830312205279511739220098558696338811651726445313<184>

1080375324226093837424071751763255710300211057790849<52>
15873586696429644797967138229411756590105124343747849222062870561<65>
78605842615420781454478344908934617308698781311845141079476432715617<68>

Number: n
N=1348045503511796436016172004657141312084703898889565011458828683910568567669461659695709064579567607425807490915417330113357439838749865830312205279511739220098558696338811651726445313  ( 184 digits)
SNFS difficulty: 196 digits.
Divisors found:

Thu Dec 21 07:22:55 2023  prp52 factor: 1080375324226093837424071751763255710300211057790849
Thu Dec 21 07:22:55 2023  prp65 factor: 15873586696429644797967138229411756590105124343747849222062870561
Thu Dec 21 07:22:55 2023  prp68 factor: 78605842615420781454478344908934617308698781311845141079476432715617
Thu Dec 21 07:22:55 2023  elapsed time 00:55:45 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.038).
Factorization parameters were as follows:
#
# N = 16x10^195+5 = 53(194)5
#
n: 1348045503511796436016172004657141312084703898889565011458828683910568567669461659695709064579567607425807490915417330113357439838749865830312205279511739220098558696338811651726445313
m: 1000000000000000000000000000000000000000
deg: 5
c5: 16
c0: 5
skew: 0.79
# Murphy_E = 3.135e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 17700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2468712 hash collisions in 20032778 relations (18304564 unique)
Msieve: matrix is 1303921 x 1304146 (366.5 MB)

Sieving start time: 2023/12/21 00:42:23
Sieving end time  : 2023/12/21 06:26:45

Total sieving time: 5hrs 44min 22secs.

Total relation processing time: 0hrs 48min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 35sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13000000,13000000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

437624374763988924616023363331581588789873329947522587392246238287838668099273158071662842436561523076093170177387974841421727011687466892609642521<147>

2630746253776547778315140523389970512682866702593877491<55>
166349899438518854286512027600466986099879588223947812746356748273804936248907342599432923331<93>

437624374763988924616023363331581588789873329947522587392246238287838668099273158071662842436561523076093170177387974841421727011687466892609642521=2630746253776547778315140523389970512682866702593877491*166349899438518854286512027600466986099879588223947812746356748273804936248907342599432923331

cado polynomial
n: 437624374763988924616023363331581588789873329947522587392246238287838668099273158071662842436561523076093170177387974841421727011687466892609642521
skew: 0.63
type: snfs
c0: 1
c5: 10
Y0: 2000000000000000000000000000000000000000
Y1: -1
# f(x) = 10*x^5+1
# g(x) = -x+2000000000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 2630746253776547778315140523389970512682866702593877491 166349899438518854286512027600466986099879588223947812746356748273804936248907342599432923331
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2074.87/119.985
Info:HTTP server: Got notification to stop serving Workunits
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24369668
Info:Lattice Sieving: Average J: 3790.93 for 814178 special-q, max bucket fill -bkmult 1.0,1s:1.146260
Info:Lattice Sieving: Total time: 267911s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 406.35/291.019
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 205.7s
Info:Linear Algebra: Total cpu/real time for bwc: 48958.6/5856.16
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 31785.89, WCT time 3831.63, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.03, comm-wait 0.0 (59392 iterations)
Info:Linear Algebra: Lingen CPU time 375.22, WCT time 25.02
Info:Linear Algebra: Mksol: CPU time 16550.14,  WCT time 1964.56, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.03, comm-wait 0.0 (29696 iterations)
Info:Square Root: Total cpu/real time for sqrt: 2074.87/119.985
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 93.64/75.2402
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 74.80000000000001s
Info:Quadratic Characters: Total cpu/real time for characters: 54.33/10.6582
Info:Filtering - Singleton removal: Total cpu/real time for purge: 298.72/207.221
Info:Generate Free Relations: Total cpu/real time for freerel: 71.98/6.65359
Info:Filtering - Merging: Merged matrix has 1893891 rows and total weight 322570975 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 477.02/27.5696
Info:Filtering - Merging: Total cpu/real time for replay: 40.16/35.6691
Info:Generate Factor Base: Total cpu/real time for makefb: 2.03/0.314304
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 559786/28702.6
Info:root: Cleaning up computation data in /tmp/cado.fta_vdzg
2630746253776547778315140523389970512682866702593877491 166349899438518854286512027600466986099879588223947812746356748273804936248907342599432923331

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [6.2.0-37-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.6)]
13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

8253884464266800895724618976993976535928692541430747810069535261063733660791231949805315321353493772471899873489462271553400577283371448986784767968658989808212925200862905964346407<181>

7069053664943421380376662049260883343<37>
2380261900615212219455646438925627256519936039482162442867363<61>
490537667437111416216334377762801028891311135109997487023007936628582951271839800323<84>

Number: n
N=1167608120617211717185363975696289624077834614015021982290287529323448909716079687196017466462887525290458985032732837433266418917526853493558249  ( 145 digits)
SNFS difficulty: 198 digits.
Divisors found:

Fri Dec 22 23:30:42 2023  prp61 factor: 2380261900615212219455646438925627256519936039482162442867363
Fri Dec 22 23:30:42 2023  prp84 factor: 490537667437111416216334377762801028891311135109997487023007936628582951271839800323
Fri Dec 22 23:30:42 2023  elapsed time 01:20:16 (Msieve 1.44 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
#
# N = 16x10^198+5 = 53(197)5
#
# N = 5 × 7 × 18461725874725883<17> ×
# [8253884464266800895724618976993976535928692541430747810069535261063733660791231949805315321353493772471899873489462271553400577283371448986784767968658989808212925200862905964346407<181>]
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 8253884464266800895724618976993976535928692541430747810069535261063733660791231949805315321353493772471899873489462271553400577283371448986784767968658989808212925200862905964346407 (181 digits)
# Using B1=50080000, B2=288591693406, polynomial Dickson(12), sigma=1:2525394604
# Step 1 took 142472ms
# Step 2 took 46762ms
# ********** Factor found in step 2: 7069053664943421380376662049260883343
# Found prime factor of 37 digits: 7069053664943421380376662049260883343
# Composite cofactor 1167608120617211717185363975696289624077834614015021982290287529323448909716079687196017466462887525290458985032732837433266418917526853493558249 has 145 digits
#
n: 1167608120617211717185363975696289624077834614015021982290287529323448909716079687196017466462887525290458985032732837433266418917526853493558249
m: 2000000000000000000000000000000000000000
deg: 5
c5: 100
c0: 1
skew: 0.40
# Murphy_E = 2.388e-11
type: snfs
lss: 1
rlim: 14200000
alim: 14200000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14200000/14200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 25500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3023990 hash collisions in 21207950 relations (18866633 unique)
Msieve: matrix is 1507129 x 1507354 (422.5 MB)

Sieving start time: 2023/12/22 13:54:52
Sieving end time  : 2023/12/22 22:10:01

Total sieving time: 8hrs 15min 9secs.

Total relation processing time: 1hrs 4min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 43sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14200000,14200000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3672463228824734862286761898468387434473719409603178068246882397833724635212000697224341429566745586380130128687501469021023753429176144429659431861257577353<157>

71874345636619419658147896855438105265077630160538507<53>
51095605758859854333279584831598550336359003743901859192346474380376403445952256653667336644736893697979<104>

3672463228824734862286761898468387434473719409603178068246882397833724635212000697224341429566745586380130128687501469021023753429176144429659431861257577353=71874345636619419658147896855438105265077630160538507*51095605758859854333279584831598550336359003743901859192346474380376403445952256653667336644736893697979

cado polynomial
n: 3672463228824734862286761898468387434473719409603178068246882397833724635212000697224341429566745586380130128687501469021023753429176144429659431861257577353
skew: 0.25
type: snfs
c0: 1
c5: 1000
Y0: 2000000000000000000000000000000000000000
Y1: -1
# f(x) = 1000*x^5+1
# g(x) = -x+2000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14800000
tasks.lim1 = 14800000
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: 51095605758859854333279584831598550336359003743901859192346474380376403445952256653667336644736893697979 71874345636619419658147896855438105265077630160538507
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2812.37/151.957
Info:HTTP server: Got notification to stop serving Workunits
Info:Linear Algebra: Total cpu/real time for bwc: 61920.5/7141.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 40184.64, WCT time 4667.98, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (67072 iterations)
Info:Linear Algebra: Lingen CPU time 380.97, WCT time 26.41
Info:Linear Algebra: Mksol: CPU time 20835.03,  WCT time 2386.96, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (33792 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.21/0.334615
Info:Square Root: Total cpu/real time for sqrt: 2812.37/151.957
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 96.24/77.5297
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 77.10000000000001s
Info:Quadratic Characters: Total cpu/real time for characters: 58.76/11.8941
Info:Generate Free Relations: Total cpu/real time for freerel: 70.52/6.51778
Info:Filtering - Singleton removal: Total cpu/real time for purge: 291.82/200.437
Info:Filtering - Merging: Merged matrix has 2130387 rows and total weight 364562121 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 561.52/32.3023
Info:Filtering - Merging: Total cpu/real time for replay: 50.32/45.088
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25010240
Info:Lattice Sieving: Average J: 3791.57 for 1044002 special-q, max bucket fill -bkmult 1.0,1s:1.144180
Info:Lattice Sieving: Total time: 346561s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 409.6/292.34
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 208.49999999999997s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 723076/36569.9
Info:root: Cleaning up computation data in /tmp/cado.t5i0flgl
51095605758859854333279584831598550336359003743901859192346474380376403445952256653667336644736893697979 71874345636619419658147896855438105265077630160538507

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [6.2.0-37-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.6)]
13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

2829172524965077904315714490750412036733267714569472072826476281874842772963050153957778973100340493983527687885205618035068611899776817525430191610512419264100463749800874110124883<181>

5229232338871011045230174560648117766422367246947056605729409953434979433792246990889<85>
541030182180793099775508603439934180490144860956615473241080956643130587357959729679620601777947<96>

Number: n
N=2829172524965077904315714490750412036733267714569472072826476281874842772963050153957778973100340493983527687885205618035068611899776817525430191610512419264100463749800874110124883  ( 181 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Jan 13 22:51:23 2024  prp85 factor: 5229232338871011045230174560648117766422367246947056605729409953434979433792246990889
Sat Jan 13 22:51:23 2024  prp96 factor: 541030182180793099775508603439934180490144860956615473241080956643130587357959729679620601777947
Sat Jan 13 22:51:23 2024  elapsed time 02:18:40 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.110).
Factorization parameters were as follows:
#
# N = 16x10^205+5 = 53(204)5
#
n: 2829172524965077904315714490750412036733267714569472072826476281874842772963050153957778973100340493983527687885205618035068611899776817525430191610512419264100463749800874110124883
m: 100000000000000000000000000000000000000000
deg: 5
c5: 16
c0: 5
skew: 0.79
# Murphy_E = 1.192e-11
type: snfs
lss: 1
rlim: 19100000
alim: 19100000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19100000/19100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3159079 hash collisions in 19712971 relations (17071647 unique)
Msieve: matrix is 2071190 x 2071415 (581.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 2hrs 6min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 38sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19100000,19100000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

4431002287925588725991553685890856320465904638440374486431020141739316290104255299399064028344416629215149234688977483365766838813243436798928184556997546108913<160>

8973731847606728094635882477113619755661864095514999779404227<61>
493774759840559085381616129619934663917927548195095006400781669284407713884547329699530559260661819<99>

Number: n
N=4431002287925588725991553685890856320465904638440374486431020141739316290104255299399064028344416629215149234688977483365766838813243436798928184556997546108913
  ( 160 digits)
SNFS difficulty: 207 digits.
Divisors found:

Thu Jul 11 05:29:53 2024  prp61 factor: 8973731847606728094635882477113619755661864095514999779404227
Thu Jul 11 05:29:53 2024  prp99 factor: 493774759840559085381616129619934663917927548195095006400781669284407713884547329699530559260661819
Thu Jul 11 05:29:53 2024  elapsed time 04:20:06 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.001).
Factorization parameters were as follows:
#
# N = 16x10^207+5 = 53(206)5
#
n: 4431002287925588725991553685890856320465904638440374486431020141739316290104255299399064028344416629215149234688977483365766838813243436798928184556997546108913
m: 200000000000000000000000000000000000000000
deg: 5
c5: 10
c0: 1
skew: 0.63
# Murphy_E = 1.071e-11
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
q0: 90000000
qintsize: 50000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [90000000, 95600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5615083 hash collisions in 26896632 relations (21220905 unique)
Msieve: matrix is 2768223 x 2768448 (776.9 MB)

Sieving start time: 2024/07/10 22:28:39
Sieving end time  : 2024/07/11 01:06:55

Total sieving time: 2hrs 38min 16secs.

Total relation processing time: 3hrs 59min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 14sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

20104645183708638773235122004615407392604481904335146824363573424009377340129820874152972978064113912727825368642833340742595956815007432084975580565921030752149158559481246383685590788339227<191>

561003108250252500142690051189596157185501731032115281426250297843<66>
35836958633641563136680802958830381646126012066348791330128603573475976533037318785432945484921879388979536871910797284658489<125>

N=20104645183708638773235122004615407392604481904335146824363573424009377340129820874152972978064113912727825368642833340742595956815007432084975580565921030752149158559481246383685590788339227  ( 191 digits)
SNFS difficulty: 209 digits.
Divisors found:

Thu Nov  7 15:00:31 2024  prp66 factor: 561003108250252500142690051189596157185501731032115281426250297843
Thu Nov  7 15:00:31 2024  prp125 factor: 35836958633641563136680802958830381646126012066348791330128603573475976533037318785432945484921879388979536871910797284658489
Thu Nov  7 15:00:31 2024  elapsed time 02:22:53 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.133).
Factorization parameters were as follows:
#
# N = 16x10^209+5 = 53(208)5
#
n: 20104645183708638773235122004615407392604481904335146824363573424009377340129820874152972978064113912727825368642833340742595956815007432084975580565921030752149158559481246383685590788339227
m: 200000000000000000000000000000000000000000
deg: 5
c5: 1000
c0: 1
skew: 0.25
# Murphy_E = 7.64e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 48850000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8324127 hash collisions in 28089291 relations (18015306 unique)
Msieve: matrix is 2126490 x 2126715 (597.7 MB)

Sieving start time: 2024/11/06 10:22:52
Sieving end time  : 2024/11/07 12:32:10

Total sieving time: 26hrs 9min 18secs.

Total relation processing time: 2hrs 13min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 35sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3870046572852984460534072921070057245528504154931214098643273999016511306541553848911360734927253170804073738557223824399970687525276810593256228994302571688924718473220135690892467949<184>

1342011112690770025007538328047067684749847031702076888010430781373389010019371091654745833579718186053904392612061073248224666080375561809886511991498359601103971891577244691821826217109719054167342914453921<208>

1037274967327515186923428353257119820262357678070204092379139255890810657502306544341697190924228307361825684014937529576520088455784260567026274666104517831992196298022685248332765408595077513341295216761<205>

128724964512347361020821079263425009103183206073315089372755133986843257633160037270827494908842541728712514254538633698241983694216897285870080789837546073118314638434561716410276782966560993<192>

94295510004693174411512375176987882619413603890897692196002587994865643015263895947361965945845336797401034329846174409055667439549953761848998706579935934189885476952478966450222284095770308451434050614003<206>

261672171486457768697269384925198721512315710204276174332966601952697886483188917033173626513695676164446116996038074535045336103571<132>

345643476382897970534967299760156557803<39>

757058036288761842636702473536692354549616505322371975291874781509825708945611980619405809657<93>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3300026578
Step 1 took 2813ms
Step 2 took 1890ms
********** Factor found in step 2: 345643476382897970534967299760156557803
Found prime factor of 39 digits: 345643476382897970534967299760156557803
Composite cofactor 757058036288761842636702473536692354549616505322371975291874781509825708945611980619405809657 has 93 digits
 

GMP-ECM

757058036288761842636702473536692354549616505322371975291874781509825708945611980619405809657<93>

885130207272059550180294394319824359126212131<45>
855306970735964740283918121023767317524591754547<48>

#
# N = 16x10^219+5 = 53(218)5
#
# N = 5 × 11 × 83 × 2339 × 1205387 × 2567912587<10> × 6758444086243251887146299643<28> × 91246606390966188516075180541087014833<38> ×
# 345643476382897970534967299760156557803<39> ×
# [757058036288761842636702473536692354549616505322371975291874781509825708945611980619405809657<93>]
# (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:83538555 for P38 / April 20, 2022 )
# (Ignacio Santos / GMP-ECM B1=3000000 for P39 / December 16, 2023 )
#

CADO:

STA:Mon 18 Dec 2023 01:52:52 AEDT (757058036288761842636702473536692354549616505322371975291874781509825708945611980619405809657 - C93)

cado-nfs.py -t 16 --no-colors 757058036288761842636702473536692354549616505322371975291874781509825708945611980619405809657 2>&1 | tee -a log-18

Info:root: Using default parameter file ./parameters/factor/params.c95
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.ym3x_mnw
Info:Database: Opened connection to database /tmp/cado.ym3x_mnw/c95.db
Info:root: Set tasks.threads=16 based on --server-threads 16
Info:root: tasks.threads = 16 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 16 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Math/cado-nfs/build/LINUX-7
Info:root: Command line parameters: ./cado-nfs.py -t 16 --no-colors 757058036288761842636702473536692354549616505322371975291874781509825708945611980619405809657
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.ym3x_mnw/c95.parameters_snapshot.0
Info:Server Launcher: Adding LINUX-7 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,LINUX-7
Info:Lattice Sieving: param rels_wanted is 0
Info:Complete Factorization / Discrete logarithm: Factoring 757058036288761842636702473536692354549616505322371975291874781509825708945611980619405809657
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 757058036288761842636702473536692354549616505322371975291874781509825708945611980619405809657
skew: 40794.376
c0: 52770704641633105084148
c1: -14770514746547091489
c2: -67050949046607
c3: 7963982596
c4: 15360
Y0: 6895476894462856871152
Y1: 327666158752092373
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=4.194e+11) = 1.189e-05
# f(x) = 15360*x^4+7963982596*x^3-67050949046607*x^2-14770514746547091489*x+52770704641633105084148
# g(x) = 327666158752092373*x+6895476894462856871152
===
Info:Square Root: finished
Info:Square Root: Factors: 855306970735964740283918121023767317524591754547 885130207272059550180294394319824359126212131
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 123.25/11.6811
Info:HTTP server: Got notification to stop serving Workunits
Info:Quadratic Characters: Total cpu/real time for characters: 5.13/1.05809
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2386464
Info:Lattice Sieving: Average J: 975.58 for 30401 special-q, max bucket fill -bkmult 1.0,1s:1.347000
Info:Lattice Sieving: Total time: 1593.61s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 7742.57
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 5388/29.430/35.802/43.320/1.332
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3575/29.270/33.729/36.880/1.111
Info:Polynomial Selection (size optimized): Total time: 131.8
Info:Filtering - Singleton removal: Total cpu/real time for purge: 9.95/6.72189
Info:Filtering - Merging: Total cpu/real time for merge: 30.79/3.12902
Info:Filtering - Merging: Total cpu/real time for replay: 3.57/2.77318
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 21.59/16.8749
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 11.9s
Info:Linear Algebra: Total cpu/real time for bwc: 267.39/28.57
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 163.35, WCT time 13.79, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3840 iterations)
Info:Linear Algebra: Lingen CPU time 4.9, WCT time 5.27
Info:Linear Algebra: Mksol: CPU time 89.77,  WCT time 7.74, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1920 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 34.49
Info:Polynomial Selection (root optimized): Rootsieve time: 34.25
Info:Generate Free Relations: Total cpu/real time for freerel: 27.49/2.72671
Info:Square Root: Total cpu/real time for sqrt: 123.25/11.6811
Info:Generate Factor Base: Total cpu/real time for makefb: 0.73/0.101445
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 10.99/8.88031
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.7s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 3610.92/325.086
Info:root: Cleaning up computation data in /tmp/cado.ym3x_mnw
855306970735964740283918121023767317524591754547 885130207272059550180294394319824359126212131

END:Mon 18 Dec 2023 01:58:22 AEDT (757058036288761842636702473536692354549616505322371975291874781509825708945611980619405809657 - C93)

1696622660516409522294682148348443878903557605641270346217061661629818143258575897354329038757223901171730024919145326334764858703144053867769471396002332856158210063093155187953979110333492391707756746726048459784741<217>

2646058833832197976025239894081276263150898364549355768928835328813348128002364838567496194676506655674321537588044623424996821254863781996603680795941077551377118999189<169>

117502614967555863049188119230162799374603880904641860050956282124152780401890420368826211621427374319371788320829693174289435994095056026620614511238379728382564139261100599545272777<183>

1746771802393093364212935909034852346854087966963977689625552583335701900301791953235212971855165586498099986857280114963214564976593825555238913240218781381044521097826894469756655022260436109307<196>

165106052246592970870300464221700607763035779830310802456751000121166649902187205739446550479920466662859154280604684321850037386706359163162270854823481711028359937<165>

403018892822629594101015548315591255004707509509561675800386240228467947145638834189505676530692397505157780780753583087215326857945187340851579809396596689<156>

35449747958187808882206142147502618719384539924530526922495696393344525226369366466335645816125798089816590895410870740425330095405541292671817260775027297453031797331730592551403734522203742297451465954269301844698851<218>

825216866838301607466343720346047244126334996719470390607453374215887935135121401271788888746359726181267697204052845168316191908293252449258987275579592589416343971585362314930110760118398084961473538080034365437741<216>

11180931549338050191298873035303917629001861205250170794072605826471996631380685473566576229995526571851478057639116333841619892974523512272212898348329572554642766123861574435823897921580645939253761<200>

29841234653480645707246540046391369900017596070521141446995313592629229961207607250632958231811354830380603779379313323162881040277376514196701612897284633221711262573406056795199298835429964492008139681671799965177144236553929<227>

240831722639100473217653886844422334787<39>
123909069480017672948450248713813870884264606184419854733596344015100404663504366838325671608366102480948004983035899901215523633117263685874903815586487918596825626931103390872078755473667<189>

Resuming ECM residue saved by @8525103e3866 with GMP-ECM 7.0.5-dev on Wed Dec 27 19:04:40 2023 
Input number is 29841234653480645707246540046391369900017596070521141446995313592629229961207607250632958231811354830380603779379313323162881040277376514196701612897284633221711262573406056795199298835429964492008139681671799965177144236553929 (227 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4268515091
Step 1 took 0ms
Step 2 took 3010ms
********** Factor found in step 2: 240831722639100473217653886844422334787
Found prime factor of 39 digits: 240831722639100473217653886844422334787
Prime cofactor 123909069480017672948450248713813870884264606184419854733596344015100404663504366838325671608366102480948004983035899901215523633117263685874903815586487918596825626931103390872078755473667 has 189 digits

4235951627108049357180869490560728782904876035793368933700275514646733629905875939503954262239634584149332829299720724479514123679104229966499765438688895427472863757947892128459119672858625817429<196>

595033558937158928042068801242769177271426050664044323435318480365233655720719594457252424970992920229364417970274858703481145608108746767527452092421469264686570353248090538467214987638902398622445159003249805017370412234799009<228>

1997193913664266944430324168315419042108509075859647271906329365412984112156043389792900692824311042464990332991282769451436555317236453159361420870985158763710581500337906394948649571335858237304448598506266941041240550207<223>

18061954473753522067235474026553760003453130505430853571944623590292240175308723482376722826778280511954386822244343723836711105023774285309784811950805668076135946438891286818485970584405678223485705827558096966329<215>

316971146888037448913218397454611160742615237978822677784159516898700879892843486584898323608689406884814938202419913142794393150903133378197844080572923357935062622248611323<174>

11105057463019155343193041472194599379938405845319642805942477519014396921577495255501932979323819994964843267070464160219976172564586931207871029356530972983171486733062126363306092654494096201850821297<203>

9459617940927116709719982358416561508667<40>
1173943549556375916608249104082145620549496838276881049980005921025796790322068761313491725511499422745072979428927570973619724768381999299899115440393227417797891<163>

Resuming ECM residue saved by @e3b5960f6051 with GMP-ECM 7.0.5-dev on Wed Dec 27 21:38:47 2023 
Input number is 11105057463019155343193041472194599379938405845319642805942477519014396921577495255501932979323819994964843267070464160219976172564586931207871029356530972983171486733062126363306092654494096201850821297 (203 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1229199187
Step 1 took 0ms
Step 2 took 2707ms
********** Factor found in step 2: 9459617940927116709719982358416561508667
Found prime factor of 40 digits: 9459617940927116709719982358416561508667
Prime cofactor 1173943549556375916608249104082145620549496838276881049980005921025796790322068761313491725511499422745072979428927570973619724768381999299899115440393227417797891 has 163 digits

947352610396320036945848140011713547149635370103793265458856604112925896056385338972295687880668474790466239073836465380107819991163203327425875507492659057403163160955238603638392260962517754121866569736344179504905683024550048023654601<237>

32267064827395720143044351638129718345941852720409498805313452409523883719908402854270045945355843711428038620478488596140718666761248734099180720687612025102582997987398006334364900314145097847588824628409824708677949930399781344501958457027<242>

666732058029864910597754972589377361923<39>

48395850235163557115876454584435783077069564471235626151103612311688084631709904903251499252570554395404887394245730682155185018942993523437956546364692487161103727522990247301562723955380374376457603649<203>

Resuming ECM residue saved by @9338f63cfe2a with GMP-ECM 7.0.5-dev on Wed Dec 27 05:59:31 2023 
Input number is 32267064827395720143044351638129718345941852720409498805313452409523883719908402854270045945355843711428038620478488596140718666761248734099180720687612025102582997987398006334364900314145097847588824628409824708677949930399781344501958457027 (242 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:870872151
Step 1 took 1ms
Step 2 took 5657ms
********** Factor found in step 2: 666732058029864910597754972589377361923
Found prime factor of 39 digits: 666732058029864910597754972589377361923
Composite cofactor 48395850235163557115876454584435783077069564471235626151103612311688084631709904903251499252570554395404887394245730682155185018942993523437956546364692487161103727522990247301562723955380374376457603649 has 203 digits

116136122589965813108478893695931920128793711841051480795912869313334639043100576036831541955709088446093243534770030659631446039440575843339426141781735850541239997897612844943384299<183>

402557254617811381651508517906756400263141091597456556563046364674782653309024911953327431408287887579938341214762507497549189225129621920641919698485082452560122568600072534703192226818827110889108988970772866278086069852872797805795828357943<243>

1618483573733936480307997848167559465133326059330720838581850537947541108379608624702425601569713983119830225915906212967127964502717982669859897656942093801235771745276023398190425953936449140798054782054685924450932777797764849<229>

1770124799804516415328270886110510292177191037924723522021188810238168498173734551059454694208935430686994857173172014034082810562206259777786143413347905786321798945563030348962447736226980796126945705087395949976006519445475861427<232>

60738154541586098399131481698466745962153361478224558815939914183563676808367311918267326675628826979190123024243918279204553208286379610434177890518312961479466965359357375524580211157944661515266418953836095107840025961357986233779307619488527561<248>

166984684893373095147246398876700916430054341938986211958891593082287652477115251403624338484047258819919238357082147146284297009925942959743019434610681775379234627183079979679262580406108358484098538450479008092660353<219>

26993015596163948194076070642022983013864868977942360460766588858543646645683273728514059219810062417503611974249299648622435229008707146651311226815168832910802615447238697606532804443712073642188687379<203>

369224314573444446016328112905119054601<39>

73107361922652086061227389917310958607837345746753810574591431096299959317811015757050826639914798552970893084155972459597575775713991064556094617048306136792433979<164>

Resuming ECM residue saved by @9338f63cfe2a with GMP-ECM 7.0.5-dev on Wed Dec 27 06:24:43 2023 
Input number is 26993015596163948194076070642022983013864868977942360460766588858543646645683273728514059219810062417503611974249299648622435229008707146651311226815168832910802615447238697606532804443712073642188687379 (203 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2602418385
Step 1 took 0ms
Step 2 took 4669ms
********** Factor found in step 2: 369224314573444446016328112905119054601
Found prime factor of 39 digits: 369224314573444446016328112905119054601
Composite cofactor 73107361922652086061227389917310958607837345746753810574591431096299959317811015757050826639914798552970893084155972459597575775713991064556094617048306136792433979 has 164 digits

73107361922652086061227389917310958607837345746753810574591431096299959317811015757050826639914798552970893084155972459597575775713991064556094617048306136792433979<164>

24611916741734368358587585767425586889<38>
2970405055803073934836249022322896170596443840229057323589547433437746602669591507441047324590760954993512522365933630527203811<127>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2464680344
Step 1 took 6375ms
Step 2 took 3031ms
********** Factor found in step 2: 24611916741734368358587585767425586889
Found prime factor of 38 digits: 24611916741734368358587585767425586889
Prime cofactor 2970405055803073934836249022322896170596443840229057323589547433437746602669591507441047324590760954993512522365933630527203811 has 127 digits
 

GMP-ECM

242891404240418287048137990431719733103605138943047931902379342465906972082236675276156621441148759714775490883482302201879186976714294170976137015045758018971932929434931182751952833636122973531202229360094831016612356218829073<228>

30891799518493607259711387385965167132314102107476161427699564945507707601780001640120586908013590115574310517312090333560709366225025541410981391285761917635995629020054216600930087208004666215890883920403570754009458988987834649<230>

1526371843327653565717635867264744382763<40>
20238711591499346887012627720476863263440786778022229557815282955485609227652020833757195172167023791052621877069650593505274207210102353258088446619930202029841826261769602093822861498219723<191>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2531626141
Step 1 took 9438ms
Step 2 took 4437ms
********** Factor found in step 2: 1526371843327653565717635867264744382763
Found prime factor of 40 digits: 1526371843327653565717635867264744382763
Prime cofactor 20238711591499346887012627720476863263440786778022229557815282955485609227652020833757195172167023791052621877069650593505274207210102353258088446619930202029841826261769602093822861498219723 has 191 digits

GMP-ECM

3649171093046443572768506753765116413044172319704292525296368182448123359488445346168953299138308884554981264225836507133974852527292180264259436774131455849314201274005646562650034785926717347434675356311927108406964387<220>

2199677358612662101849092034479991633587900890683607242304140348361636876746766506327703488349109334051719934663308489879190321323913069673031425426157222280159130946466230383709555688265430587093511327218258309009089<217>

34601227741858295385006054347167857850570715927751368158829311019926555668816868715449629295447999070974383017532342535804028981774953418477800007353987321396771535530964074872187684234971010784930401416635499381367837117720696533140369133367<242>

4753706936511697230593950162606723404346779071154049260856936804486861742414364975400831087289138879466997550235990861852659375191026736978928262369344412531252617505646041427518871703768743996440675076774696129131833612815352032989233<235>

10810794188634236944754380026577501836990455643565358680233532613404323988661139250479909888109305275774962260460412419864566460791234727465142041676382399934701441587702633523813911306708843447036616532627747540816608136884474711712537896186559327477963<254>

580363451109313490768886029393223537242676893337110481007236645514072462349288179523848361985077310618688376463615659061143673337095203989549502040606621105826107248227186878705920851680962040155531606813265928610474243909596515011<231>

13422816805718355732637373192709689372069159782471469427442360165565326241444905074243572218320156013888424102756011461306446902718605964437742041436315980407310968949196824549777691526875657757118843566882940129873297585778442211050251329<239>

106666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<279>

19759304394687695413818696418839630175506680697307141918271190020411061395061964851876349456566662542627080089299895056996743923189246735543449565551961725462237641974325495449128197605208792417679092408129227658878658865014358667217933510009371880851087132051<260>

463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942028985507246376811594202898550724637681159420289855072463768115942029<279>

1208831505374003894271105195029968610515261060929696221467562013353123923483052864791234345828101575364831073978352250330814216762598852517950587743996536920634241898410734192558980529014031871405301516604183615169661966646056369<229>

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106666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<285>

239618818775780511177871030966378283<36>

445151458519116977804018904283664856224635442535125404447111239450197975377438052683863438515711392221845801779453553445349749916107547530576116638106653411151326291512682314764957357629952029545868768559498233039753546159626244442439621733063467649<249>

GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 106666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667 (285 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:965241774
Step 1 took 10328ms
Step 2 took 4125ms
********** Factor found in step 2: 239618818775780511177871030966378283
Found prime factor of 36 digits: 239618818775780511177871030966378283
Composite cofactor 445151458519116977804018904283664856224635442535125404447111239450197975377438052683863438515711392221845801779453553445349749916107547530576116638106653411151326291512682314764957357629952029545868768559498233039753546159626244442439621733063467649 has 249 digits

268614119029631495005456224292789389742298329555947284479140434819105179215982540082263073952824645345420968689666750608578863426508855871736758163350961134894652900193066398052547637035171661210442373877276924368337110719382187526231847561487450684126584403592713842021321245697977<282>

969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969697<288>

106666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<291>

789368531097737693428994613488195989344165896098858888932848740159833245021606533393774285181716597625353496782424971389979568988179133649574283645837313115165905817046220709662331296302148573173925581137689081552362020725003644561993528953778844788468432218532091997927268118687183<282>

574325549377612475275792258111574881596263518389059323011693559063647618907267992534456047657270094545794686683127739208051051894847245289837651351244661571877333207567243105493212630536368102489483394935945061542408557069915162355170330040733630539<249>

19730797925799868050288871213382413693173760505108426900476622087395103062589790545248268930775728652201525437314638402298637958355684627858653496359051195254743098845131733905526473181529506791710598521423330435372387981477713447155373867791322148437259145533132325829464247177571015457847<290>

505186334920132889477395918682652736462464012177661894246111062614916525126086519066065220711735488523657576671110472744239786690875263347091194907879406782429343649680055156443289495717647022640045177572200979897798834100281281023720934417571797452801620203887673804290444021<276>

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