43648818261967179714876517828897035325257227522419879740118965189933132024983509140700488322833106460206413247<110>

5253803544857472832439493075855586546574223641<46>
8308041572032420056565560050631301920491903226324686097566857367<64>

N=43648818261967179714876517828897035325257227522419879740118965189933132024983509140700488322833106460206413247
  ( 110 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=5253803544857472832439493075855586546574223641 (pp46)
 r2=8308041572032420056565560050631301920491903226324686097566857367 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.43 hours.
Scaled time: 3.40 units (timescale=7.874).
Factorization parameters were as follows:
n: 43648818261967179714876517828897035325257227522419879740118965189933132024983509140700488322833106460206413247
m: 100000000000000000000000000000
deg: 4
c4: 13
c0: 2
skew: 0.63
# Murphy_E = 7.185e-08
type: snfs
lss: 1
rlim: 630000
alim: 630000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 630000/630000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [315000, 615001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 71877 x 72118
Total sieving time: 0.42 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117.000,4,0,0,0,0,0,0,0,0,630000,630000,25,25,45,45,2.2,2.2,20000
total time: 0.43 hours.

GNFS, Msieve

197746842058988795663928937694837681786390210496949983130673242813955816054062161263462376837942812221728362160259516871<120>

96777378357967507917752552349982289445193043517829<50>
2043316789669046175022409931129162013101990270276970479189616563534299<70>

N=197746842058988795663928937694837681786390210496949983130673242813955816054062161263462376837942812221728362160259516871
  ( 120 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=96777378357967507917752552349982289445193043517829 (pp50)
 r2=2043316789669046175022409931129162013101990270276970479189616563534299 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.41 hours.
Scaled time: 10.87 units (timescale=7.728).
Factorization parameters were as follows:
n: 197746842058988795663928937694837681786390210496949983130673242813955816054062161263462376837942812221728362160259516871
m: 10000000000000000000000000000000
deg: 4
c4: 65
c0: 1
skew: 0.35
# Murphy_E = 2.555e-08
type: snfs
lss: 1
rlim: 870000
alim: 870000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 870000/870000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [435000, 735001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 97667 x 97895
Total sieving time: 1.40 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,125.000,4,0,0,0,0,0,0,0,0,870000,870000,26,26,46,46,2.3,2.3,75000
total time: 1.41 hours.

GNFS, Msieve

196969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969697<129>

10720845209235377303017814075122201540789825310839<50>
18372590325249651586193445475517606079405035288822323243580740704910801252203623<80>

N=196969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969697
  ( 129 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=10720845209235377303017814075122201540789825310839 (pp50)
 r2=18372590325249651586193445475517606079405035288822323243580740704910801252203623 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.70 hours.
Scaled time: 13.33 units (timescale=7.862).
Factorization parameters were as follows:
n: 196969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969696969697
m: 100000000000000000000000000000000
deg: 4
c4: 65
c0: 1
skew: 0.35
# Murphy_E = 1.635e-08
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 910001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 134399 x 134625
Total sieving time: 1.68 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,129.000,4,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,100000
total time: 1.70 hours.

GNFS, Msieve

171396869126461054085138967795852721766175569775775689744346712112189313064631391741889662372256087<99>

38077015082320997605881915762058349893<38>
4501321039895270559853877847623457689237880578065008587386859<61>

prp38 = 38077015082320997605881915762058349893
prp61 = 4501321039895270559853877847623457689237880578065008587386859

Yafu

1621827716856555761517883783296162261315077854102339807365406929163434763996185178295316690096893513<100>

270196349923919039378870430128139405577<39>
6002404241631037733328062590946559095171895966415370818063169<61>

starting SIQS on c100: 1621827716856555761517883783296162261315077854102339807365406929163434763996185178295316690096893513

==== sieve params ====
n = 100 digits, 332 bits
factor base: 115504 primes (max prime = 3218653)
single large prime cutoff: 466704685 (145 * pmax)
double large prime range from 44 to 52 bits
double large prime cutoff: 4020461327286960
allocating 9 large prime slices of factor base
buckets hold 2048 elements
using SSE4.1 enabled 32k sieve core
sieve interval: 20 blocks of size 32768
polynomial A has ~ 13 factors
using multiplier of 5
using SPV correction of 20 bits, starting at offset 32
using SSE2 for x128 sieve scanning
using SSE2 for resieving 13-16 bit primes
using SSE2 for 8x trial divison to 13 bits
using SSE4.1 and inline ASM for small prime sieving
using SSE2 for poly updating up to 15 bits
using SSE4.1 for medium prime poly updating
using SSE4.1 and inline ASM for large prime poly updating
trial factoring cutoff at 105 bits

==== sieving in progress (16 threads):  115568 relations needed ====
====            Press ctrl-c to abort and save state            ====
117935 rels found: 29159 full + 88776 from 1682330 partial, (1166.02 rels/sec)

sieving required 2848953 total polynomials
trial division touched 135540407 sieve locations out of 3734179676160
squfof: 2 failures, 1352355 attempts, 18096775 outside range, 6662622 prp, 1256497 useful
QS elapsed time = 1467.8197 seconds.

==== post processing stage (msieve-1.38) ====
begin with 1711489 relations
reduce to 303915 relations in 11 passes
attempting to read 303915 relations
failure to equate relation
Q = 8108786576388309798184446644539417920741143492254567122305875620169805069601100102223929805864559340, RHS = 31570292021963945182537909145048680667131645228833195865713178635850947230467239538783901049580
failed to read relation 20683
failure to equate relation
Q = 361808039207669097793948023919507034800231234359184074448119143359844143125520119073394128961839116, RHS = 2635032699550127225669853753488837610056247208526017343914302066126650682055792470258045169606668
failed to read relation 58672
failure to equate relation
Q = 1165985284013517236904382552010729602868526182091984606732196188648552042647548481600685241083373165, RHS = 5063637139676139518024383036677193034832546462023881591136319326830113676199924178444655810848365
failed to read relation 165398
recovered 303912 relations
recovered 288355 polynomials
freed 63 duplicate relations
attempting to build 117869 cycles
found 117869 cycles in 6 passes
distribution of cycle lengths:
   length 1 : 29158
   length 2 : 20914
   length 3 : 19858
   length 4 : 15907
   length 5 : 12072
   length 6 : 8024
   length 7 : 5095
   length 9+: 6841
largest cycle: 19 relations
matrix is 115504 x 117869 (35.8 MB) with weight 8441161 (71.61/col)
sparse part has weight 8441161 (71.61/col)
filtering completed in 4 passes
matrix is 109191 x 109255 (32.6 MB) with weight 7673225 (70.23/col)
sparse part has weight 7673225 (70.23/col)
saving the first 48 matrix rows for later
matrix is 109143 x 109255 (28.2 MB) with weight 6839962 (62.61/col)
sparse part has weight 6308675 (57.74/col)
matrix includes 64 packed rows
using block size 43702 for processor cache size 12288 kB
commencing Lanczos iteration
memory use: 21.9 MB
lanczos halted after 1727 iterations (dim = 109141)
recovered 17 nontrivial dependencies
Lanczos elapsed time = 50.5270 seconds.
Sqrt elapsed time = 0.1610 seconds.
SIQS elapsed time = 1518.5086 seconds.


***factors found***

P39 = 270196349923919039378870430128139405577
P61 = 6002404241631037733328062590946559095171895966415370818063169

122550663539150001727050811552984181300139990636120410308411260036370060330384449163886585016843554678709102719998571<117>

2385535077336250135762679131072087<34>
51372400558449648428631084873856527382451247098424079011193046441754174572536453133<83>

Mon May  9 22:21:38 2022  Msieve v. 1.53 (SVN unknown)
Mon May  9 22:21:38 2022  random seeds: 1993f148 33791429
Mon May  9 22:21:38 2022  factoring 122550663539150001727050811552984181300139990636120410308411260036370060330384449163886585016843554678709102719998571 (117 digits)
Mon May  9 22:21:38 2022  searching for 15-digit factors
Mon May  9 22:21:38 2022  commencing number field sieve (117-digit input)
Mon May  9 22:21:38 2022  R0: -10000000000000000000000000000000000
Mon May  9 22:21:38 2022  R1: 1
Mon May  9 22:21:38 2022  A0: 2
Mon May  9 22:21:38 2022  A1: 0
Mon May  9 22:21:38 2022  A2: 0
Mon May  9 22:21:38 2022  A3: 0
Mon May  9 22:21:38 2022  A4: 13
Mon May  9 22:21:38 2022  skew 0.63, size 4.654e-14, alpha 0.091, combined = 7.746e-09 rroots = 0
Mon May  9 22:21:38 2022  
Mon May  9 22:21:38 2022  commencing square root phase
Mon May  9 22:21:38 2022  reading relations for dependency 1
Mon May  9 22:21:38 2022  read 67555 cycles
Mon May  9 22:21:38 2022  cycles contain 186618 unique relations
Mon May  9 22:21:40 2022  read 186618 relations
Mon May  9 22:21:40 2022  multiplying 186618 relations
Mon May  9 22:21:42 2022  multiply complete, coefficients have about 4.50 million bits
Mon May  9 22:21:42 2022  initial square root is modulo 151273
Mon May  9 22:21:44 2022  GCD is N, no factor found
Mon May  9 22:21:44 2022  reading relations for dependency 2
Mon May  9 22:21:44 2022  read 67339 cycles
Mon May  9 22:21:44 2022  cycles contain 185846 unique relations
Mon May  9 22:21:45 2022  read 185846 relations
Mon May  9 22:21:46 2022  multiplying 185846 relations
Mon May  9 22:21:47 2022  multiply complete, coefficients have about 4.48 million bits
Mon May  9 22:21:47 2022  initial square root is modulo 144241
Mon May  9 22:21:49 2022  sqrtTime: 11
Mon May  9 22:21:49 2022  p34 factor: 2385535077336250135762679131072087
Mon May  9 22:21:49 2022  p83 factor: 51372400558449648428631084873856527382451247098424079011193046441754174572536453133
Mon May  9 22:21:49 2022  elapsed time 00:00:11
Mon May 09 22:21:49 2022 -> Computing time scale for this machine...
Mon May 09 22:21:49 2022 -> procrels -speedtest> PIPE

4068768961888812572608006167988978281836185860397128514843182020928850123510315297541742226831494732431545054313059574986586933<127>

8191953247831270239737709392869453837860662689339<49>
496678733239349787875505688767749532592109757050837371760380054876259839092047<78>

Tue May 10 20:20:19 2022  Msieve v. 1.53 (SVN unknown)
Tue May 10 20:20:19 2022  random seeds: 4c2fb5d8 21073f4c
Tue May 10 20:20:19 2022  factoring 4068768961888812572608006167988978281836185860397128514843182020928850123510315297541742226831494732431545054313059574986586933 (127 digits)
Tue May 10 20:20:19 2022  searching for 15-digit factors
Tue May 10 20:20:19 2022  commencing number field sieve (127-digit input)
Tue May 10 20:20:19 2022  R0: -10000000000000000000000000000000000
Tue May 10 20:20:19 2022  R1: 1
Tue May 10 20:20:19 2022  A0: 1
Tue May 10 20:20:19 2022  A1: 0
Tue May 10 20:20:19 2022  A2: 0
Tue May 10 20:20:19 2022  A3: 0
Tue May 10 20:20:19 2022  A4: 650
Tue May 10 20:20:19 2022  skew 0.20, size 2.053e-14, alpha -0.049, combined = 5.405e-09 rroots = 0
Tue May 10 20:20:19 2022  
Tue May 10 20:20:19 2022  commencing square root phase
Tue May 10 20:20:19 2022  reading relations for dependency 1
Tue May 10 20:20:19 2022  read 83124 cycles
Tue May 10 20:20:20 2022  cycles contain 237120 unique relations
Tue May 10 20:20:21 2022  read 237120 relations
Tue May 10 20:20:22 2022  multiplying 237120 relations
Tue May 10 20:20:24 2022  multiply complete, coefficients have about 6.89 million bits
Tue May 10 20:20:24 2022  initial square root is modulo 84188473
Tue May 10 20:20:27 2022  sqrtTime: 8
Tue May 10 20:20:27 2022  p49 factor: 8191953247831270239737709392869453837860662689339
Tue May 10 20:20:27 2022  p78 factor: 496678733239349787875505688767749532592109757050837371760380054876259839092047
Tue May 10 20:20:27 2022  elapsed time 00:00:08
Tue May 10 20:20:27 2022 -> Computing time scale for this machine...
Tue May 10 20:20:27 2022 -> procrels -speedtest> PIPE

31991164895272263268571605826088067514841393571878358714320755980907790661838938635517<86>

18352011349665122485219583791745322470711<41>
1743196660340776251424890618210130926669431147<46>

prp41 = 18352011349665122485219583791745322470711
prp46 = 1743196660340776251424890618210130926669431147

Yafu

52723494091422957086035289271848233631160580013033434167484075223068188283238329906625965977332045266033<104>

1181708739850871042770378831780796489473273<43>
44616318990817096108267750207682325281511296021247969003000121<62>

starting SIQS on c104: 52723494091422957086035289271848233631160580013033434167484075223068188283238329906625965977332045266033

==== sieve params ====
n = 104 digits, 345 bits
factor base: 152464 primes (max prime = 4325339)
single large prime cutoff: 648800850 (150 * pmax)
double large prime range from 45 to 53 bits
double large prime cutoff: 7274456283965970
allocating 11 large prime slices of factor base
buckets hold 2048 elements
using SSE4.1 enabled 32k sieve core
sieve interval: 26 blocks of size 32768
polynomial A has ~ 14 factors
using multiplier of 1
using SPV correction of 19 bits, starting at offset 26
using SSE2 for x128 sieve scanning
using SSE2 for resieving 13-16 bit primes
using SSE2 for 8x trial divison to 13 bits
using SSE4.1 and inline ASM for small prime sieving
using SSE2 for poly updating up to 15 bits
using SSE4.1 for medium prime poly updating
using SSE4.1 and inline ASM for large prime poly updating
trial factoring cutoff at 109 bits

==== sieving in progress (64 threads):  152528 relations needed ====
====            Press ctrl-c to abort and save state            ====
158869 rels found: 36423 full + 122446 from 2308533 partial, (744.02 rels/sec)

sieving required 6061181 total polynomials
trial division touched 279268434 sieve locations out of 10327864508416
squfof: 0 failures, 1897195 attempts, 52392337 outside range, 9413343 prp, 1771295 useful
QS elapsed time = 3153.8631 seconds.

==== post processing stage (msieve-1.38) ====
begin with 2360087 relations
reduce to 430450 relations in 13 passes
attempting to read 430450 relations
failure to equate relation
Q = 515462077375339905432058521651921353496952538389773121848910558198005686537275238455440355612214864592, RHS = 127455720102690645668908538760291515668850090803587089158045963047114281073328701329113454941219536
failed to read relation 251044
failure to equate relation
Q = 36481241349332094695740680826142426092483700433081622579847793402295113635869256610474774477242446387368, RHS = 70812773977579329125616918049345573227974237948023789177999623466264628031697766088665685126292445352
failed to read relation 273458
failure to equate relation
Q = 37586657948884673073482358406897907631610283807751009899858600029186126687796514860323414900431397154529, RHS = 18891833324165641406694364927461638432921095834809749690033308999795649220694437054170929547377209057
failed to read relation 424296
recovered 430447 relations
recovered 415345 polynomials
freed 55 duplicate relations
attempting to build 161618 cycles
found 161618 cycles in 6 passes
distribution of cycle lengths:
   length 1 : 36657
   length 2 : 26127
   length 3 : 26796
   length 4 : 22228
   length 5 : 17639
   length 6 : 12218
   length 7 : 8056
   length 9+: 11897
largest cycle: 20 relations
matrix is 152464 x 161618 (52.3 MB) with weight 12427719 (76.90/col)
sparse part has weight 12427719 (76.90/col)
filtering completed in 4 passes
matrix is 145308 x 145372 (44.2 MB) with weight 10413219 (71.63/col)
sparse part has weight 10413219 (71.63/col)
saving the first 48 matrix rows for later
matrix is 145260 x 145372 (39.3 MB) with weight 9425260 (64.84/col)
sparse part has weight 8842612 (60.83/col)
matrix includes 64 packed rows
using block size 58148 for processor cache size 12288 kB
commencing Lanczos iteration
memory use: 30.4 MB
lanczos halted after 2299 iterations (dim = 145256)
recovered 14 nontrivial dependencies
Lanczos elapsed time = 61.2370 seconds.
Sqrt elapsed time = 0.3390 seconds.
SIQS elapsed time = 3215.4382 seconds.


***factors found***

P43 = 1181708739850871042770378831780796489473273
P62 = 44616318990817096108267750207682325281511296021247969003000121

331855961646844910077500620187737554622853102529043650852606889401240457162730574160336769472069751426099940413985717225739299776773258291<138>

58595360406775567326545111618919774346899239821904081698115774048777<68>
5663519421043980009977399886130722781370747103468937931533501103387483<70>

Number: n
N=331855961646844910077500620187737554622853102529043650852606889401240457162730574160336769472069751426099940413985717225739299776773258291  ( 138 digits)
SNFS difficulty: 145 digits.
Divisors found:

Mon May  9 01:00:22 2022  p68 factor: 58595360406775567326545111618919774346899239821904081698115774048777
Mon May  9 01:00:22 2022  p70 factor: 5663519421043980009977399886130722781370747103468937931533501103387483
Mon May  9 01:00:22 2022  elapsed time 00:03:18 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 13x10^144+2 = 43(143)4
#
n: 331855961646844910077500620187737554622853102529043650852606889401240457162730574160336769472069751426099940413985717225739299776773258291
m: 1000000000000000000000000000000000000
deg: 4
c4: 13
c0: 2
skew: 0.63
# Murphy_E = 3.073e-09
type: snfs
lss: 1
rlim: 1840000
alim: 1840000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1840000/1840000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6520000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 588551 hash collisions in 7370697 relations (7579287 unique)
Msieve: matrix is 249660 x 249885 (83.5 MB)

Sieving start time : 2022/05/09 00:38:24
Sieving end time  : 2022/05/09 00:56:49

Total sieving time: 0hrs 18min 25secs.

Total relation processing time: 0hrs 1min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 20sec.

Prototype def-par.txt line would be:
snfs,145,4,0,0,0,0,0,0,0,0,1840000,1840000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

870419661106592915655985917459829074978326653071281153139996915075507060996719528304829428096138207992633684898833<114>

17460392082338902685647571368526904307333541719<47>
49851094809435462352098888809258514102816755147629704022260342677207<68>

870419661106592915655985917459829074978326653071281153139996915075507060996719528304829428096138207992633684898833=17460392082338902685647571368526904307333541719*49851094809435462352098888809258514102816755147629704022260342677207

cado polynomial
n: 870419661106592915655985917459829074978326653071281153139996915075507060996719528304829428096138207992633684898833
skew: 0.69
type: snfs
c0: 2
c5: 13
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 13*x^5+2
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1910000
tasks.lim1 = 1910000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 17460392082338902685647571368526904307333541719 49851094809435462352098888809258514102816755147629704022260342677207
Info:Square Root: Total cpu/real time for sqrt: 29.34/9.60666
Info:Filtering - Singleton removal: Total cpu/real time for purge: 42.19/38.5263
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6046142
Info:Lattice Sieving: Average J: 1890.82 for 57023 special-q, max bucket fill -bkmult 1.0,1s:1.226680
Info:Lattice Sieving: Total time: 6320.24s
Info:Linear Algebra: Total cpu/real time for bwc: 425.59/111.39
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 250.05, WCT time 64.21, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5504 iterations)
Info:Linear Algebra: Lingen CPU time 23.33, WCT time 5.98
Info:Linear Algebra: Mksol: CPU time 137.4,  WCT time 35.42, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2816 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 29.84/9.423
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.7/24.1806
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 24.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.89/47.0544
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.0s
Info:Filtering - Merging: Merged matrix has 173856 rows and total weight 29649421 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 34.51/9.67428
Info:Filtering - Merging: Total cpu/real time for replay: 5.51/4.55966
Info:Generate Factor Base: Total cpu/real time for makefb: 0.84/0.554766
Info:Quadratic Characters: Total cpu/real time for characters: 5.68/2.21697
Info:Square Root: Total cpu/real time for sqrt: 29.34/9.60666
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12044.7/3559.46
Info:root: Cleaning up computation data in /tmp/cado.o_kdi700
17460392082338902685647571368526904307333541719 49851094809435462352098888809258514102816755147629704022260342677207

cado-nfs-3.0.0

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

25775457103728999286566919699543250154533989155605823609491616792942279054133504592883789680434577081675593504906892576456396233<128>

673752286683622760167395316227737812403<39>
38256578290223317537277197939882415203033299529347108818173631229827723114390086966206611<89>

Fri May 13 21:41:54 2022  Msieve v. 1.53 (SVN unknown)
Fri May 13 21:41:54 2022  random seeds: 532a2cec 833695dc
Fri May 13 21:41:54 2022  factoring 25775457103728999286566919699543250154533989155605823609491616792942279054133504592883789680434577081675593504906892576456396233 (128 digits)
Fri May 13 21:41:55 2022  searching for 15-digit factors
Fri May 13 21:41:55 2022  commencing number field sieve (128-digit input)
Fri May 13 21:41:55 2022  R0: -100000000000000000000000000000
Fri May 13 21:41:55 2022  R1: 1
Fri May 13 21:41:55 2022  A0: 1
Fri May 13 21:41:55 2022  A1: 0
Fri May 13 21:41:55 2022  A2: 0
Fri May 13 21:41:55 2022  A3: 0
Fri May 13 21:41:55 2022  A4: 0
Fri May 13 21:41:55 2022  A5: 65
Fri May 13 21:41:55 2022  skew 0.43, size 4.390e-10, alpha -0.273, combined = 2.855e-09 rroots = 1
Fri May 13 21:41:55 2022  
Fri May 13 21:41:55 2022  commencing square root phase
Fri May 13 21:41:55 2022  reading relations for dependency 1
Fri May 13 21:41:55 2022  read 107356 cycles
Fri May 13 21:41:55 2022  cycles contain 324140 unique relations
Fri May 13 21:41:58 2022  read 324140 relations
Fri May 13 21:41:58 2022  multiplying 324140 relations
Fri May 13 21:42:02 2022  multiply complete, coefficients have about 8.23 million bits
Fri May 13 21:42:02 2022  initial square root is modulo 2933842531
Fri May 13 21:42:06 2022  sqrtTime: 11
Fri May 13 21:42:06 2022  p39 factor: 673752286683622760167395316227737812403
Fri May 13 21:42:06 2022  p89 factor: 38256578290223317537277197939882415203033299529347108818173631229827723114390086966206611
Fri May 13 21:42:06 2022  elapsed time 00:00:12
Fri May 13 21:42:06 2022 -> Computing time scale for this machine...
Fri May 13 21:42:06 2022 -> procrels -speedtest> PIPE

5017269197832675299687660342612654077652340518747133522033072632112528388255310989785177249233366505967640819<109>

676046524678050807721468907205307841257269611<45>
7421485082290773445567733245279526830912754313690269304282751129<64>

N=5017269197832675299687660342612654077652340518747133522033072632112528388255310989785177249233366505967640819
  ( 109 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=676046524678050807721468907205307841257269611 (pp45)
 r2=7421485082290773445567733245279526830912754313690269304282751129 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.33 hours.
Scaled time: 33.81 units (timescale=7.813).
Factorization parameters were as follows:
n: 5017269197832675299687660342612654077652340518747133522033072632112528388255310989785177249233366505967640819
m: 100000000000000000000000000000
deg: 5
c5: 650
c0: 1
skew: 0.27
# Murphy_E = 2.491e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 1900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 257044 x 257271
Total sieving time: 4.29 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,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 4.33 hours.

GNFS, Msieve

314730074495350175644379685665720330472730872673027635512847974242351844963086508618470739529546392259840100972235327789<120>

175118533882817019201827365597284451559057<42>
1797240232184425112090936649027458562864792012010455618907620034871568353517277<79>

N=314730074495350175644379685665720330472730872673027635512847974242351844963086508618470739529546392259840100972235327789
  ( 120 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=175118533882817019201827365597284451559057 (pp42)
 r2=1797240232184425112090936649027458562864792012010455618907620034871568353517277 (pp79)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.71 hours.
Scaled time: 76.40 units (timescale=7.868).
Factorization parameters were as follows:
n: 314730074495350175644379685665720330472730872673027635512847974242351844963086508618470739529546392259840100972235327789
m: 5000000000000000000000000000000
deg: 5
c5: 104
c0: 5
skew: 0.54
# Murphy_E = 1.213e-09
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, 2050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 380298 x 380523
Total sieving time: 9.64 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 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: 9.71 hours.

GNFS, Msieve

15673848792414339412170027709580225244389633097558233885284058147058871375450494874966126064177330037478767095320711145612447553636850027499<140>

5968852012151305181418551606482384973<37>
648299370901609524902135877430801146313132627103627<51>
4050505639534070739444407528946869980051608993797669<52>

C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3784498702 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 15673848792414339412170027709580225244389633097558233885284058147058871375450494874966126064177330037478767095320711145612447553636850027499 (140 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3784498702
Step 1 took 8219ms
********** Factor found in step 1: 5968852012151305181418551606482384973
Found probable prime factor of 37 digits: 5968852012151305181418551606482384973
Composite cofactor 2625940257943359619190979111371790118742979473644549377674792843313651536825830912556172885646734045463 has 103 digits

Sun May  8 20:35:54 2022  Msieve v. 1.53 (SVN unknown)
Sun May  8 20:35:54 2022  random seeds: 74c5b548 444a5f29
Sun May  8 20:35:54 2022  factoring 2625940257943359619190979111371790118742979473644549377674792843313651536825830912556172885646734045463 (103 digits)
Sun May  8 20:35:54 2022  searching for 15-digit factors
Sun May  8 20:35:54 2022  commencing number field sieve (103-digit input)
Sun May  8 20:35:54 2022  R0: -25771195890902853389
Sun May  8 20:35:54 2022  R1: 28483873933
Sun May  8 20:35:54 2022  A0: -9443396466191242820340
Sun May  8 20:35:54 2022  A1: -19608559137107380983
Sun May  8 20:35:54 2022  A2: 214497818880907
Sun May  8 20:35:54 2022  A3: 2481248980201
Sun May  8 20:35:54 2022  A4: 475810
Sun May  8 20:35:54 2022  A5: 231000
Sun May  8 20:35:54 2022  skew 2301.07, size 7.428e-10, alpha -4.927, combined = 2.272e-09 rroots = 3
Sun May  8 20:35:54 2022  
Sun May  8 20:35:54 2022  commencing square root phase
Sun May  8 20:35:54 2022  reading relations for dependency 1
Sun May  8 20:35:54 2022  read 115744 cycles
Sun May  8 20:35:55 2022  cycles contain 397300 unique relations
Sun May  8 20:36:02 2022  read 397300 relations
Sun May  8 20:36:03 2022  multiplying 397300 relations
Sun May  8 20:36:18 2022  multiply complete, coefficients have about 17.41 million bits
Sun May  8 20:36:18 2022  initial square root is modulo 100297
Sun May  8 20:36:39 2022  GCD is N, no factor found
Sun May  8 20:36:39 2022  reading relations for dependency 2
Sun May  8 20:36:39 2022  read 116070 cycles
Sun May  8 20:36:39 2022  cycles contain 397880 unique relations
Sun May  8 20:36:44 2022  read 397880 relations
Sun May  8 20:36:46 2022  multiplying 397880 relations
Sun May  8 20:37:01 2022  multiply complete, coefficients have about 17.44 million bits
Sun May  8 20:37:01 2022  initial square root is modulo 102031
Sun May  8 20:37:22 2022  sqrtTime: 88
Sun May  8 20:37:22 2022  p51 factor: 648299370901609524902135877430801146313132627103627
Sun May  8 20:37:22 2022  p52 factor: 4050505639534070739444407528946869980051608993797669
Sun May  8 20:37:22 2022  elapsed time 00:01:28

23636364991633774445279089313817350249635359904314176525121460046315847236276063266084756445362282039753742118030089748427586409955188623<137>

5123166356321450055457709118827659666846506374244548537681<58>
4613624338485315553905458244259310015492021412911318951949243822481899979753183<79>

N=23636364991633774445279089313817350249635359904314176525121460046315847236276063266084756445362282039753742118030089748427586409955188623
  ( 137 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=5123166356321450055457709118827659666846506374244548537681 (pp58)
 r2=4613624338485315553905458244259310015492021412911318951949243822481899979753183 (pp79)
Version: Msieve v. 1.52 (SVN 927)
Total time: 12.65 hours.
Scaled time: 99.57 units (timescale=7.874).
Factorization parameters were as follows:
n: 23636364991633774445279089313817350249635359904314176525121460046315847236276063266084756445362282039753742118030089748427586409955188623
m: 100000000000000000000000000000000
deg: 5
c5: 13
c0: 2
skew: 0.69
# Murphy_E = 8.344e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 541244 x 541471
Total sieving time: 12.54 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 12.65 hours.

GNFS, Msieve

2888962075928145735247515159272923802958563839172814600192093755264022244119073238744270410405952506352383149262003526311555448293578992890042103288838872807<157>

576925774760112027419891495817250229133049129957649112953923<60>
5007510848565202968064168110863602440694958541954771554606071546529450377000884282078219072762509<97>

Number: n
N=2888962075928145735247515159272923802958563839172814600192093755264022244119073238744270410405952506352383149262003526311555448293578992890042103288838872807  ( 157 digits)
SNFS difficulty: 162 digits.
Divisors found:

Mon May  9 09:34:11 2022  p60 factor: 576925774760112027419891495817250229133049129957649112953923
Mon May  9 09:34:11 2022  p97 factor: 5007510848565202968064168110863602440694958541954771554606071546529450377000884282078219072762509
Mon May  9 09:34:11 2022  elapsed time 00:08:31 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 13x10^162+2 = 43(161)4
#
n: 2888962075928145735247515159272923802958563839172814600192093755264022244119073238744270410405952506352383149262003526311555448293578992890042103288838872807
m: 100000000000000000000000000000000
deg: 5
c5: 650
c0: 1
skew: 0.27
# Murphy_E = 6.624e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1639998 hash collisions in 16695374 relations (16191336 unique)
Msieve: matrix is 436884 x 437110 (147.5 MB)

Sieving start time : 2022/05/09 08:32:04
Sieving end time  : 2022/05/09 09:25:07

Total sieving time: 0hrs 53min 3secs.

Total relation processing time: 0hrs 2min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 52sec.

Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

499712536365193830466232747260826010059119948094286508373644957664136473038263757441191070049024199873839341458471548275159344180329<132>

153923979001527683523536524873019557104067801062028342961<57>
3246489205949088818688640763936271693227343031648883138818769126238907608889<76>

Number: n
N=499712536365193830466232747260826010059119948094286508373644957664136473038263757441191070049024199873839341458471548275159344180329  ( 132 digits)
SNFS difficulty: 165 digits.
Divisors found:

Fri Jun  3 08:03:12 2022  p57 factor: 153923979001527683523536524873019557104067801062028342961
Fri Jun  3 08:03:12 2022  p76 factor: 3246489205949088818688640763936271693227343031648883138818769126238907608889
Fri Jun  3 08:03:12 2022  elapsed time 00:07:02 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.297).
Factorization parameters were as follows:
#
# N = 13x10^164+2 = 43(163)4
#
n: 499712536365193830466232747260826010059119948094286508373644957664136473038263757441191070049024199873839341458471548275159344180329
m: 500000000000000000000000000000000
deg: 5
c5: 104
c0: 5
skew: 0.54
# Murphy_E = 4.963e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1132058 hash collisions in 12653469 relations (12329015 unique)
Msieve: matrix is 473386 x 473612 (162.1 MB)

Sieving start time : 2022/06/03 07:37:23
Sieving end time  : 2022/06/03 07:55:53

Total sieving time: 0hrs 18min 30secs.

Total relation processing time: 0hrs 3min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 29sec.

Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

3976846215243580098226627959536180363628450904519196020442577230204166533490699161027338307796153971052896458113856710565115234026640978368947179245900247<154>

4841853861907796329962775377986804415738265981174913205723896258493305817769<76>
821347840861230723268612305725082300469109836759018807505321186202639589083263<78>

Number: n
N=3976846215243580098226627959536180363628450904519196020442577230204166533490699161027338307796153971052896458113856710565115234026640978368947179245900247  ( 154 digits)
SNFS difficulty: 167 digits.
Divisors found:

Mon May  9 12:58:50 2022  p76 factor: 4841853861907796329962775377986804415738265981174913205723896258493305817769
Mon May  9 12:58:50 2022  p78 factor: 821347840861230723268612305725082300469109836759018807505321186202639589083263
Mon May  9 12:58:50 2022  elapsed time 00:12:29 (Msieve 1.54 - dependency 10)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 13x10^167+2 = 43(166)4
#
n: 3976846215243580098226627959536180363628450904519196020442577230204166533490699161027338307796153971052896458113856710565115234026640978368947179245900247
m: 1000000000000000000000000000000000
deg: 5
c5: 650
c0: 1
skew: 0.27
# Murphy_E = 4.218e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 15000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1831808 hash collisions in 16901195 relations (16175100 unique)
Msieve: matrix is 530236 x 530465 (177.6 MB)

Sieving start time : 2022/05/09 11:42:06
Sieving end time  : 2022/05/09 12:46:03

Total sieving time: 1hrs 3min 57secs.

Total relation processing time: 0hrs 3min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 40sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

17537337397127230210788813449079050311545923404075084463552338080583716069507053085973715551839083520961250360797871490502171587164402607064301<143>

6414597550001555129834281099547828298529699<43>
2733973138676950750806608870585383092281527670213511181799305974508979903843616981395926290492605999<100>

Number: n
N=17537337397127230210788813449079050311545923404075084463552338080583716069507053085973715551839083520961250360797871490502171587164402607064301  ( 143 digits)
SNFS difficulty: 171 digits.
Divisors found:

Sat May 14 21:59:50 2022  p43 factor: 6414597550001555129834281099547828298529699
Sat May 14 21:59:50 2022  p100 factor: 2733973138676950750806608870585383092281527670213511181799305974508979903843616981395926290492605999
Sat May 14 21:59:50 2022  elapsed time 00:11:21 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 13x10^170+2 = 43(169)4
#
n: 17537337397127230210788813449079050311545923404075084463552338080583716069507053085973715551839083520961250360797871490502171587164402607064301
m: 10000000000000000000000000000000000
deg: 5
c5: 13
c0: 2
skew: 0.69
# Murphy_E = 3.373e-10
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 29700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1164058 hash collisions in 13650774 relations (13389862 unique)
Msieve: matrix is 634522 x 634748 (219.4 MB)

Sieving start time : 2022/05/14 18:24:07
Sieving end time  : 2022/05/14 21:46:58

Total sieving time: 3hrs 22min 51secs.

Total relation processing time: 0hrs 6min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 49sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

17906336088154269972451790633608815426997245179063360881542699724517906336088154269972451790633608815426997245179063360881542699724517906336088154269972451790633608815427<170>

172943843186124713092486317406814902897601003302443386016643282153069139<72>
103538442064590915498141149826982685594672239572747632090167374220119664199244618522099998245344593<99>

Number: n
N=17906336088154269972451790633608815426997245179063360881542699724517906336088154269972451790633608815426997245179063360881542699724517906336088154269972451790633608815427  ( 170 digits)
SNFS difficulty: 171 digits.
Divisors found:

Tue May 10 03:30:01 2022  p72 factor: 172943843186124713092486317406814902897601003302443386016643282153069139
Tue May 10 03:30:01 2022  p99 factor: 103538442064590915498141149826982685594672239572747632090167374220119664199244618522099998245344593
Tue May 10 03:30:01 2022  elapsed time 00:13:15 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 13x10^171+2 = 43(170)4
#
n: 17906336088154269972451790633608815426997245179063360881542699724517906336088154269972451790633608815426997245179063360881542699724517906336088154269972451790633608815427
m: 10000000000000000000000000000000000
deg: 5
c5: 65
c0: 1
skew: 0.43
# Murphy_E = 3.07e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1520645 hash collisions in 15152284 relations (14611209 unique)
Msieve: matrix is 625045 x 625270 (213.2 MB)

Sieving start time : 2022/05/10 02:09:30
Sieving end time  : 2022/05/10 03:16:29

Total sieving time: 1hrs 6min 59secs.

Total relation processing time: 0hrs 5min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 36sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

1124952406191990840954905421115358953983055059493935947911819814695270824869534609502240659244975490513341378442143731977376868904490427136704240663707<151>

13330437335496743724374524680094652577453776957756507146033<59>
84389759906558291271533119258595773212681712179708789149702119861801760587351061322131088779<92>

Number: n
N=1124952406191990840954905421115358953983055059493935947911819814695270824869534609502240659244975490513341378442143731977376868904490427136704240663707  ( 151 digits)
SNFS difficulty: 172 digits.
Divisors found:

Wed May 11 16:58:14 2022  p59 factor: 13330437335496743724374524680094652577453776957756507146033
Wed May 11 16:58:14 2022  p92 factor: 84389759906558291271533119258595773212681712179708789149702119861801760587351061322131088779
Wed May 11 16:58:14 2022  elapsed time 00:09:52 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 13x10^172+2 = 43(171)4
#
n: 1124952406191990840954905421115358953983055059493935947911819814695270824869534609502240659244975490513341378442143731977376868904490427136704240663707
m: 10000000000000000000000000000000000
deg: 5
c5: 650
c0: 1
skew: 0.27
# Murphy_E = 2.673e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1725054 hash collisions in 15188917 relations (14387192 unique)
Msieve: matrix is 597796 x 598023 (207.4 MB)

Sieving start time : 2022/05/11 16:10:49
Sieving end time  : 2022/05/11 16:48:04

Total sieving time: 0hrs 37min 15secs.

Total relation processing time: 0hrs 5min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 38sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

26713601615670256593522973904474084385861917921218836806898873554414622368929361066272662026962321936757950360091619618284417223937<131>

2550867050165151725916654820262492366995770242917<49>
10472361393331231447358801778336753177829819147415458121487482094176576796554718061<83>

26713601615670256593522973904474084385861917921218836806898873554414622368929361066272662026962321936757950360091619618284417223937=2550867050165151725916654820262492366995770242917*10472361393331231447358801778336753177829819147415458121487482094176576796554718061

cado polynomial
n: 26713601615670256593522973904474084385861917921218836806898873554414622368929361066272662026962321936757950360091619618284417223937
skew: 0.17
type: snfs
c0: 1
c5: 6500
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 6500*x^5+1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6700000
tasks.lim1 = 6700000
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 = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2550867050165151725916654820262492366995770242917 10472361393331231447358801778336753177829819147415458121487482094176576796554718061
Info:Square Root: Total cpu/real time for sqrt: 724.06/96.3392
Info:Filtering - Merging: Merged matrix has 877689 rows and total weight 149612350 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 259.73/28.6462
Info:Filtering - Merging: Total cpu/real time for replay: 29.22/419.376
Info:Generate Factor Base: Total cpu/real time for makefb: 3.7/0.690167
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 387.36/79.5346
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.1s
Info:Quadratic Characters: Total cpu/real time for characters: 35.82/8.64128
Info:Square Root: Total cpu/real time for sqrt: 724.06/96.3392
Info:Linear Algebra: Total cpu/real time for bwc: 16329.1/3065.81
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 10189.05, WCT time 1902.98, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (27648 iterations)
Info:Linear Algebra: Lingen CPU time 484.31, WCT time 42.96
Info:Linear Algebra: Mksol: CPU time 5523.91,  WCT time 1047.66, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (13824 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 192.59/62.241
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22423451
Info:Lattice Sieving: Average J: 1896.59 for 718421 special-q, max bucket fill -bkmult 1.0,1s:1.132550
Info:Lattice Sieving: Total time: 99115.8s
Info:Generate Free Relations: Total cpu/real time for freerel: 144.12/12.8116
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 161.79/51.83
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 50.9s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 214665/53636.6
Info:root: Cleaning up computation data in /tmp/cado.frgxw6v7
2550867050165151725916654820262492366995770242917 10472361393331231447358801778336753177829819147415458121487482094176576796554718061

cado-nfs-3.0.0

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

16260163989027394280910105729027262504552848499068147564088878007535192941073384428416193342324149733932574273259017097439391768707496995088124619848210856781<158>

377882742309903513127504171487590172376400411<45>
84368142566480573300897380301844327706955722584377<50>
510022546155311938299575169853521406246105614852428117818503023<63>

Number: n
N=16260163989027394280910105729027262504552848499068147564088878007535192941073384428416193342324149733932574273259017097439391768707496995088124619848210856781  ( 158 digits)
SNFS difficulty: 182 digits.
Divisors found:

Sun May 15 19:10:52 2022  found factor: 510022546155311938299575169853521406246105614852428117818503023
Sun May 15 19:13:33 2022  found factor: 510022546155311938299575169853521406246105614852428117818503023
Sun May 15 19:15:20 2022  p45 factor: 377882742309903513127504171487590172376400411
Sun May 15 19:15:20 2022  p50 factor: 84368142566480573300897380301844327706955722584377
Sun May 15 19:15:20 2022  p63 factor: 510022546155311938299575169853521406246105614852428117818503023
Sun May 15 19:15:20 2022  elapsed time 00:22:27 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.294).
Factorization parameters were as follows:
#
# N = 13x10^182+2 = 43(181)4
#
n: 16260163989027394280910105729027262504552848499068147564088878007535192941073384428416193342324149733932574273259017097439391768707496995088124619848210856781
m: 1000000000000000000000000000000000000
deg: 5
c5: 650
c0: 1
skew: 0.27
# Murphy_E = 1.059e-10
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2797544 hash collisions in 28952482 relations (27994981 unique)
Msieve: matrix is 816185 x 816412 (279.1 MB)

Sieving start time : 2022/05/15 16:14:53
Sieving end time  : 2022/05/15 18:52:00

Total sieving time: 2hrs 37min 7secs.

Total relation processing time: 0hrs 10min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 21sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

51608894847038308635002003247990712668075540127198304644517340128747618749930390179445616020775743323590154807895734168956076013214312824479532455580363<152>

547081398866725938430159653379957165525699<42>
94334947146705512810205540714712578854335614696671421130929338979776445867094294187768390753222791423435720537<110>

Number: n
N=51608894847038308635002003247990712668075540127198304644517340128747618749930390179445616020775743323590154807895734168956076013214312824479532455580363  ( 152 digits)
SNFS difficulty: 185 digits.
Divisors found:

Sun May 15 22:12:09 2022  p42 factor: 547081398866725938430159653379957165525699
Sun May 15 22:12:09 2022  p110 factor: 94334947146705512810205540714712578854335614696671421130929338979776445867094294187768390753222791423435720537
Sun May 15 22:12:09 2022  elapsed time 00:21:10 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 13x10^184+2 = 43(183)4
#
n: 51608894847038308635002003247990712668075540127198304644517340128747618749930390179445616020775743323590154807895734168956076013214312824479532455580363
m: 5000000000000000000000000000000000000
deg: 5
c5: 104
c0: 5
skew: 0.54
# Murphy_E = 7.852e-11
type: snfs
lss: 1
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8600000/8600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 9900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2850278 hash collisions in 29235199 relations (28243019 unique)
Msieve: matrix is 908633 x 908859 (313.3 MB)

Sieving start time : 2022/05/15 19:17:01
Sieving end time  : 2022/05/15 21:50:28

Total sieving time: 2hrs 33min 27secs.

Total relation processing time: 0hrs 12min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 0sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8600000,8600000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

580086177698240923890679722711107635076872283924197812628575720719317810544454247583721487696466355698171125311123925974125766335041862051<138>

9213228915479866354280691476938022629609203709469<49>
62962310284464198575422479995115952024012192103408404711673029809830979565914392268006079<89>

580086177698240923890679722711107635076872283924197812628575720719317810544454247583721487696466355698171125311123925974125766335041862051=9213228915479866354280691476938022629609203709469*62962310284464198575422479995115952024012192103408404711673029809830979565914392268006079

cado polynomial
n: 580086177698240923890679722711107635076872283924197812628575720719317810544454247583721487696466355698171125311123925974125766335041862051
skew: 0.69
type: snfs
c0: 2
c5: 13
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 13*x^5+2
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8900000
tasks.lim1 = 8900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 9213228915479866354280691476938022629609203709469 62962310284464198575422479995115952024012192103408404711673029809830979565914392268006079
Info:Square Root: Total cpu/real time for sqrt: 325.77/106.244
Info:Quadratic Characters: Total cpu/real time for characters: 48.13/19.619
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 220.13/186.571
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 171.6s
Info:Square Root: Total cpu/real time for sqrt: 325.77/106.244
Info:Linear Algebra: Total cpu/real time for bwc: 28715.6/7374.65
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 18268.4, WCT time 4666.36, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41984 iterations)
Info:Linear Algebra: Lingen CPU time 256.81, WCT time 65.22
Info:Linear Algebra: Mksol: CPU time 9957.27,  WCT time 2556.31, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20992 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 98.89/109.66
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22423814
Info:Lattice Sieving: Average J: 1894.16 for 884062 special-q, max bucket fill -bkmult 1.0,1s:1.158300
Info:Lattice Sieving: Total time: 166759s
Info:Generate Free Relations: Total cpu/real time for freerel: 117.77/32.055
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.9/106.238
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 106.1s
Info:Filtering - Merging: Merged matrix has 1342591 rows and total weight 228439253 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 336.16/94.0383
Info:Filtering - Merging: Total cpu/real time for replay: 53.23/45.2032
Info:Generate Factor Base: Total cpu/real time for makefb: 3.79/2.05012
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 342197/91793.7
Info:root: Cleaning up computation data in /tmp/cado.6iwpo14b
9213228915479866354280691476938022629609203709469 62962310284464198575422479995115952024012192103408404711673029809830979565914392268006079

cado-nfs-3.0.0

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

1270832027920871203456955037557758560707033677600353406518389697407216240816854347384059235586961016113101293491100257168299108135757936927737678919<148>

3083747171765322042254300690435608489147944763397<49>
412106426738405614679815170831399258947594888975550703939675079212382903981420842443588296474257627<99>

Number: n
N=1270832027920871203456955037557758560707033677600353406518389697407216240816854347384059235586961016113101293491100257168299108135757936927737678919  ( 148 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sat Jun 11 04:38:55 2022  p49 factor: 3083747171765322042254300690435608489147944763397
Sat Jun 11 04:38:55 2022  p99 factor: 412106426738405614679815170831399258947594888975550703939675079212382903981420842443588296474257627
Sat Jun 11 04:38:55 2022  elapsed time 00:23:54 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 13x10^187+2 = 43(186)4
#
n: 1270832027920871203456955037557758560707033677600353406518389697407216240816854347384059235586961016113101293491100257168299108135757936927737678919
m: 10000000000000000000000000000000000000
deg: 5
c5: 650
c0: 1
skew: 0.27
# Murphy_E = 6.62e-11
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2899101 hash collisions in 29103467 relations (28035123 unique)
Msieve: matrix is 960835 x 961061 (335.4 MB)

Sieving start time : 2022/06/11 01:17:49
Sieving end time  : 2022/06/11 04:14:25

Total sieving time: 2hrs 56min 36secs.

Total relation processing time: 0hrs 14min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 15sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

4657182257198297659846302090131936190088478029458986550127599858562868261625989855858532179237964183531826820074311397888874183354738450016439<142>

13227422258719932775061725172989316044327004311<47>
53818784116997654160776796351086503474745148043<47>
6542054150737685569878510377313767650113194491843<49>

4657182257198297659846302090131936190088478029458986550127599858562868261625989855858532179237964183531826820074311397888874183354738450016439=13227422258719932775061725172989316044327004311*53818784116997654160776796351086503474745148043*6542054150737685569878510377313767650113194491843

cado polynomial
n: 4657182257198297659846302090131936190088478029458986550127599858562868261625989855858532179237964183531826820074311397888874183354738450016439
skew: 0.17
type: snfs
c0: 1
c5: 6500
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 6500*x^5+1
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9800000
tasks.lim1 = 9800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6542054150737685569878510377313767650113194491843 53818784116997654160776796351086503474745148043 13227422258719932775061725172989316044327004311
Info:Square Root: Total cpu/real time for sqrt: 1404.87/437.12
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23227596
Info:Lattice Sieving: Average J: 1897.03 for 1311815 special-q, max bucket fill -bkmult 1.0,1s:1.152440
Info:Lattice Sieving: Total time: 252691s
Info:Linear Algebra: Total cpu/real time for bwc: 48038.3/12338
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 30724.17, WCT time 7848.34, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (53760 iterations)
Info:Linear Algebra: Lingen CPU time 338.22, WCT time 85.9
Info:Linear Algebra: Mksol: CPU time 16661.84,  WCT time 4284.73, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26880 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.25/2.18716
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 323.3/310.851
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 261.0s
Info:Generate Free Relations: Total cpu/real time for freerel: 118.75/32.1768
Info:Quadratic Characters: Total cpu/real time for characters: 62.73/27.2221
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 97.41/104.499
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 104.00s
Info:Square Root: Total cpu/real time for sqrt: 1404.87/437.12
Info:Filtering - Singleton removal: Total cpu/real time for purge: 205/234.596
Info:Filtering - Merging: Merged matrix has 1714063 rows and total weight 292871024 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 459.89/126.615
Info:Filtering - Merging: Total cpu/real time for replay: 67.58/58.2612
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 523651/140009
Info:root: Cleaning up computation data in /tmp/cado.y5cib5it
6542054150737685569878510377313767650113194491843 53818784116997654160776796351086503474745148043 13227422258719932775061725172989316044327004311

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)

737836313394488483708536160716128925566503747584865171880067943461088527996442732454643828367559063949348368292532832959521867<126>

67645446960101268054052138993478659<35>
10907405399060784208454515037365850916477229440538730439436944579744505938493345725248882713<92>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2138615533
Step 1 took 4828ms
Step 2 took 2922ms
********** Factor found in step 2: 67645446960101268054052138993478659
Found prime factor of 35 digits: 67645446960101268054052138993478659
Prime cofactor 10907405399060784208454515037365850916477229440538730439436944579744505938493345725248882713 has 92 digits

GMP-ECM

88652624870709101740361303654556369339075649859985093993461463365919451175614735550764824756826842422246174323647315970047209139200725749854120791789003<152>

211109867068892245294604079289922622077445527<45>

419935960841559198737211814209954169872497835155081783702053628224491786404778549949603509530637411333777389<108>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:429758472
Step 1 took 3531ms
Step 2 took 2625ms
********** Factor found in step 2: 211109867068892245294604079289922622077445527
Found prime factor of 45 digits: 211109867068892245294604079289922622077445527
Composite cofactor 419935960841559198737211814209954169872497835155081783702053628224491786404778549949603509530637411333777389 has 108 digits
 

GMP-ECM

419935960841559198737211814209954169872497835155081783702053628224491786404778549949603509530637411333777389<108>

1015945080539823581528417155525742341956373018877<49>
413345139304602710641050268590961357816897111921317637838257<60>

419935960841559198737211814209954169872497835155081783702053628224491786404778549949603509530637411333777389=1015945080539823581528417155525742341956373018877*413345139304602710641050268590961357816897111921317637838257

cado polynomial
n: 419935960841559198737211814209954169872497835155081783702053628224491786404778549949603509530637411333777389
skew: 8920.808
c0: 490103870524881556804520
c1: 195433583142454182546
c2: -2003504253729907
c3: -1834342349967
c4: 242768087
c5: -11040
Y0: -523051960085977441749
Y1: 682130516492099
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.976e-06
# f(x) = -11040*x^5+242768087*x^4-1834342349967*x^3-2003504253729907*x^2+195433583142454182546*x+490103870524881556804520
# g(x) = 682130516492099*x-523051960085977441749

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: 1015945080539823581528417155525742341956373018877 413345139304602710641050268590961357816897111921317637838257
Info:Square Root: Total cpu/real time for sqrt: 77.38/23.2305
Info:Filtering - Singleton removal: Total cpu/real time for purge: 62.07/70.4737
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5077154
Info:Lattice Sieving: Average J: 1897.58 for 72736 special-q, max bucket fill -bkmult 1.0,1s:1.301940
Info:Lattice Sieving: Total time: 7132.84s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.36/0.63567
Info:Linear Algebra: Total cpu/real time for bwc: 962.54/249.44
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 578.12, WCT time 148.03, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8832 iterations)
Info:Linear Algebra: Lingen CPU time 43.79, WCT time 11.14
Info:Linear Algebra: Mksol: CPU time 318.9,  WCT time 81.6, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4352 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.18/16.4312
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.58/21.1474
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.400000000000002s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 220.91
Info:Polynomial Selection (root optimized): Rootsieve time: 219.92
Info:Filtering - Merging: Merged matrix has 274709 rows and total weight 42879503 (156.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 42.51/12.6985
Info:Filtering - Merging: Total cpu/real time for replay: 9.22/7.48011
Info:Quadratic Characters: Total cpu/real time for characters: 10.33/3.99445
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): 11767/31.050/38.096/42.960/1.048
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8965/30.770/33.794/38.550/0.849
Info:Polynomial Selection (size optimized): Total time: 716.5
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 82.79/90.0736
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 64.6s
Info:Square Root: Total cpu/real time for sqrt: 77.38/23.2305
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 15116.2/4261.61
Info:root: Cleaning up computation data in /tmp/cado.dhk0q790
1015945080539823581528417155525742341956373018877 413345139304602710641050268590961357816897111921317637838257

cado-nfs-3.0.0

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

49924548336173796064009863555747162815162557389786694703894905042136671197833155533647033346828204105116975897921967259394108058012847380343659329289836248002257408172709<170>

8062463916327306261182779416654295608953754206713<49>
6192219754940115476182959423458500499081470514943442902199601068605142908424529061634557009506563743710077027505230106893<121>

Number: n
N=49924548336173796064009863555747162815162557389786694703894905042136671197833155533647033346828204105116975897921967259394108058012847380343659329289836248002257408172709  ( 170 digits)
SNFS difficulty: 192 digits.
Divisors found:

Sun Jun 26 22:41:24 2022  p49 factor: 8062463916327306261182779416654295608953754206713
Sun Jun 26 22:41:24 2022  p121 factor: 6192219754940115476182959423458500499081470514943442902199601068605142908424529061634557009506563743710077027505230106893
Sun Jun 26 22:41:24 2022  elapsed time 00:41:45 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 13x10^192+2 = 43(191)4
#
n: 49924548336173796064009863555747162815162557389786694703894905042136671197833155533647033346828204105116975897921967259394108058012847380343659329289836248002257408172709
m: 100000000000000000000000000000000000000
deg: 5
c5: 650
c0: 1
skew: 0.27
# Murphy_E = 4.121e-11
type: snfs
lss: 1
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2929852 hash collisions in 28581147 relations (27413796 unique)
Msieve: matrix is 1231322 x 1231548 (429.6 MB)

Sieving start time : 2022/06/26 18:28:01
Sieving end time  : 2022/06/26 21:59:08

Total sieving time: 3hrs 31min 7secs.

Total relation processing time: 0hrs 25min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 8sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11400000,11400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

856762492256185166146018690603292604162547616223127314906349269115689298377423649280978554575770756718995083501390591429738885154283153413209959534448442669408306641886459198333926476597203<189>

152259213290829837843914378633935216201033<42>
5626999337108657335480212795314462088779882696231662784029284663642923358271677333468624758590201644413073219026736949524797837688033506279757330491<148>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 856762492256185166146018690603292604162547616223127314906349269115689298377423649280978554575770756718995083501390591429738885154283153413209959534448442669408306641886459198333926476597203 (189 digits)
Using B1=21930000, B2=96186870796, polynomial Dickson(12), sigma=1:2459805051
Step 1 took 58276ms
Step 2 took 22324ms
********** Factor found in step 2: 152259213290829837843914378633935216201033
Found prime factor of 42 digits: 152259213290829837843914378633935216201033
Prime cofactor 5626999337108657335480212795314462088779882696231662784029284663642923358271677333468624758590201644413073219026736949524797837688033506279757330491 has 148 digits

330950058121326710222662252901714831688163472561279409904939372708850420323408956152234223279578150472827896295480977220409211582976416377107592770131<150>

261329684392948082219750015522534264918823372721<48>
1266408211107369005813657517575699787076899662607743760399767777746450716835479222411906519438088806211<103>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 330950058121326710222662252901714831688163472561279409904939372708850420323408956152234223279578150472827896295480977220409211582976416377107592770131 (150 digits)
Using B1=33490000, B2=144292738606, polynomial Dickson(12), sigma=1:1177614393
Step 1 took 67865ms
Step 2 took 22421ms
********** Factor found in step 2: 261329684392948082219750015522534264918823372721
Found prime factor of 48 digits: 261329684392948082219750015522534264918823372721
Prime cofactor 1266408211107369005813657517575699787076899662607743760399767777746450716835479222411906519438088806211 has 103 digits

488330879023004144566730284463168053541586306681039538947961520215369817015184571300171174208516982888816463453258703635256626552094787057641909514797099<153>

28152606808885805351264266769135710711144966004019007026917<59>
17345849439025032054907873569191309114379389277107414199421859693185454585307278539459926596047<95>

488330879023004144566730284463168053541586306681039538947961520215369817015184571300171174208516982888816463453258703635256626552094787057641909514797099=28152606808885805351264266769135710711144966004019007026917*17345849439025032054907873569191309114379389277107414199421859693185454585307278539459926596047

cado polynomial
n: 488330879023004144566730284463168053541586306681039538947961520215369817015184571300171174208516982888816463453258703635256626552094787057641909514797099
skew: 0.27
type: snfs
c0: 1
c5: 650
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 650*x^5+1
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13900000
tasks.lim1 = 13900000
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 = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 28152606808885805351264266769135710711144966004019007026917 17345849439025032054907873569191309114379389277107414199421859693185454585307278539459926596047
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 711.44/230.827
Info:HTTP server: Got notification to stop serving Workunits
Info:Square Root: Total cpu/real time for sqrt: 711.44/230.827
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27740442
Info:Lattice Sieving: Average J: 1896.08 for 2517481 special-q, max bucket fill -bkmult 1.0,1s:1.141020
Info:Lattice Sieving: Total time: 563664s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.75/2.5385
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 552.37/562.614
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 395.6999999999999s
Info:Quadratic Characters: Total cpu/real time for characters: 81.02/35.6008
Info:Generate Free Relations: Total cpu/real time for freerel: 126.56/34.0649
Info:Filtering - Merging: Merged matrix has 2350096 rows and total weight 401116838 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 716.63/201.499
Info:Filtering - Merging: Total cpu/real time for replay: 107.13/343.782
Info:Linear Algebra: Total cpu/real time for bwc: 111883/29322.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 72843.25, WCT time 18807.84, iteration CPU time 0.23, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (73728 iterations)
Info:Linear Algebra: Lingen CPU time 401.64, WCT time 406.4
Info:Linear Algebra: Mksol: CPU time 37578.71,  WCT time 9695.49, iteration CPU time 0.24, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (36864 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 113.76/110.933
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 110.09999999999997s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 428.18/427.134
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.17564e+06/257366
28152606808885805351264266769135710711144966004019007026917 17345849439025032054907873569191309114379389277107414199421859693185454585307278539459926596047

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)

374039393148256131161734743112549836982845042935022573429713148005703171268903849282095836382478466840360196687122862906876999213533107864772208574719518996416267916327<168>

9126463490683619711696774680238088548619629097320710332601534503589645697<73>
40984045301893672499454291676090838943048799795181898100252351609029746272250598429756439610791<95>

Number: n
N=374039393148256131161734743112549836982845042935022573429713148005703171268903849282095836382478466840360196687122862906876999213533107864772208574719518996416267916327  ( 168 digits)
SNFS difficulty: 198 digits.
Divisors found:

Wed Aug 24 21:29:05 2022  p73 factor: 9126463490683619711696774680238088548619629097320710332601534503589645697
Wed Aug 24 21:29:05 2022  p95 factor: 40984045301893672499454291676090838943048799795181898100252351609029746272250598429756439610791
Wed Aug 24 21:29:05 2022  elapsed time 01:08:04 (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 = 13x10^198+2 = 43(197)4
#
n: 374039393148256131161734743112549836982845042935022573429713148005703171268903849282095836382478466840360196687122862906876999213533107864772208574719518996416267916327
m: 1000000000000000000000000000000000000000
deg: 5
c5: 6500
c0: 1
skew: 0.17
# Murphy_E = 1.967e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 20000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3256146 hash collisions in 27862690 relations (26199187 unique)
Msieve: matrix is 1706900 x 1707125 (596.8 MB)

Sieving start time : 2022/08/24 14:48:33
Sieving end time  : 2022/08/24 20:20:31

Total sieving time: 5hrs 31min 58secs.

Total relation processing time: 0hrs 55min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 1sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

120239180739785753206199113459756544091763544333988536395390413748571253450645278992131100387675404506954766488343854486287922359375289570214372013<147>

1549281940946783067417943581111290577687073429853362746889<58>
77609618728471255738848937818205402377003336034020736171293444316475975016403157928874117<89>

120239180739785753206199113459756544091763544333988536395390413748571253450645278992131100387675404506954766488343854486287922359375289570214372013=1549281940946783067417943581111290577687073429853362746889*77609618728471255738848937818205402377003336034020736171293444316475975016403157928874117

cado polynomial
n: 120239180739785753206199113459756544091763544333988536395390413748571253450645278992131100387675404506954766488343854486287922359375289570214372013
skew: 0.69
type: snfs
c0: 2
c5: 13
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 13*x^5+2
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15700000
tasks.lim1 = 15700000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1549281940946783067417943581111290577687073429853362746889 77609618728471255738848937818205402377003336034020736171293444316475975016403157928874117
Info:Square Root: Total cpu/real time for sqrt: 510.68/166.449
Info:Generate Factor Base: Total cpu/real time for makefb: 6.54/2.88106
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 509.17/481.579
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 451.70000000000005s
Info:Generate Free Relations: Total cpu/real time for freerel: 236.53/60.5757
Info:Square Root: Total cpu/real time for sqrt: 510.68/166.449
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 187.11/185.948
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 185.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 271.05/256.382
Info:Filtering - Merging: Merged matrix has 1983447 rows and total weight 338196419 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 532.01/146.16
Info:Filtering - Merging: Total cpu/real time for replay: 75.19/70.0558
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43305247
Info:Lattice Sieving: Average J: 3789.51 for 1005047 special-q, max bucket fill -bkmult 1.0,1s:1.075320
Info:Lattice Sieving: Total time: 475532s
Info:Linear Algebra: Total cpu/real time for bwc: 65893.9/16923
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 42238.35, WCT time 10784.05, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (62208 iterations)
Info:Linear Algebra: Lingen CPU time 408.58, WCT time 103.8
Info:Linear Algebra: Mksol: CPU time 22869.36,  WCT time 5882.53, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (31232 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 71.74/32.0924
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 986994/113385
Info:root: Cleaning up computation data in /tmp/cado.3u0ae56r
1549281940946783067417943581111290577687073429853362746889 77609618728471255738848937818205402377003336034020736171293444316475975016403157928874117

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)

10975547385425737809136325571306046210342760421804270105768419379625413364738198128804493365145725216922938502540146585376814974447811679551939037030526760628439675103622074881321586282848933<191>

3903970036754075219959517341372302013559<40>

2811381051108493965047345696407568585367449104482799031397689151870670774049177190961737911186761961786799083194051944146066642680154496806407279342787<151>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2646745301
Step 1 took 8993ms
Step 2 took 4476ms
********** Factor found in step 2: 3903970036754075219959517341372302013559
Found prime factor of 40 digits: 3903970036754075219959517341372302013559
Composite cofactor 2811381051108493965047345696407568585367449104482799031397689151870670774049177190961737911186761961786799083194051944146066642680154496806407279342787 has 151 digits

986127531441626370028414684943960745258998094361849549649941164333777860466888435610418921126413199182648615972844818219669473599436793621175052783708613183698528591664557707069<177>

800199429002851435708423567835197229954424063721769143277597<60>
1232352205837568020738158877998551939354726498807212977531144864570932950494326449966317870888127345631157651633449377<118>

Number: n
N=986127531441626370028414684943960745258998094361849549649941164333777860466888435610418921126413199182648615972844818219669473599436793621175052783708613183698528591664557707069  ( 177 digits)
SNFS difficulty: 206 digits.
Divisors found:

Wed Apr 17 09:26:25 2024  prp60 factor: 800199429002851435708423567835197229954424063721769143277597
Wed Apr 17 09:26:25 2024  prp118 factor: 1232352205837568020738158877998551939354726498807212977531144864570932950494326449966317870888127345631157651633449377
Wed Apr 17 09:26:25 2024  elapsed time 02:09:49 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.928).
Factorization parameters were as follows:
#
# N = 13x10^206+2 = 43(205)4
#
n: 986127531441626370028414684943960745258998094361849549649941164333777860466888435610418921126413199182648615972844818219669473599436793621175052783708613183698528591664557707069
m: 100000000000000000000000000000000000000000
deg: 5
c5: 65
c0: 1
skew: 0.43
# Murphy_E = 1.117e-11
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19600000/19600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3951918 hash collisions in 21644922 relations (18107501 unique)
Msieve: matrix is 1955784 x 1956009 (547.4 MB)

Sieving start time: 2024/04/16 17:38:24
Sieving end time  : 2024/04/17 07:16:13

Total sieving time: 13hrs 37min 49secs.

Total relation processing time: 1hrs 52min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 37sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

260419374858377683434715611497232357332485722117642296281134465513013886403842902933623346254173128056016905360617337624242859183085972712124764182313<150>

157099748501457588463955437044984777687217216301561472978400876919022807808391914606834952018351920901535178050668706685485087042915165763630686521525014424318824583067436537<174>

55767270516627215401153311415536556661<38>
2817060025460950695491502996487015284348939540320261474004420459140229310841047614244677449005552976087133871947068985799048974665475317<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:170279859
Step 1 took 16178ms
Step 2 took 6815ms
********** Factor found in step 2: 55767270516627215401153311415536556661
Found prime factor of 38 digits: 55767270516627215401153311415536556661
Prime cofactor 2817060025460950695491502996487015284348939540320261474004420459140229310841047614244677449005552976087133871947068985799048974665475317 has 136 digits

153980340434703758698877452484722946352551526632848031747022333069995102292732343431797302969574241525741510046641606051853332548308983922820513286109125547279696442739783597359654648819974087<192>

203520920105771976224393830544582189058794177732075627278599700507264630647308720130475402812570795613534923333742089423399782202802954906482057306096375129533<159>

21745179654824346207227137417697970124420754819144887650854996145923670780689173343632279811868357637208440316591301119821834961302222345772365309357433807232049<161>

1304284604989232961359240208356987867171745280292646272633953171195063613647490334052077517006501250540432676665829814842598933844189849337686643381393127554311882822219509<172>

2109559176079073683712623917917374769308647207411336885899004931998702563579737690494549255820209940597551025903753972304735174715418353500639519583718553794157310246682051<172>

48315080224445026244448732051684811160878280561483802231486026680105119908380814143759459262550053707468707375173285669187671221107925197239349725648760167859253<161>

1058576114599439457074607921392999326557643<43>
45641574146727502882144133115074804308676476983115890457656468121667825550764902540048519003818493578608682539714166271<119>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4001625218
Step 1 took 66126ms
Step 2 took 27623ms
********** Factor found in step 2: 1058576114599439457074607921392999326557643
Found prime factor of 43 digits: 1058576114599439457074607921392999326557643
Prime cofactor 45641574146727502882144133115074804308676476983115890457656468121667825550764902540048519003818493578608682539714166271 has 119 digits

4063607135194725516800906693328399679655825340005293471404443750778540357065647408575309018914387834335466108625695892077443757920000978668029461841861415439626519612717283685182638433814348035429697<199>

3524788329394701960072883248675025327<37>

1152865578141695899098008383019097165637225282411840408195897239277169171120651716784383994816619614897351075306038789184029766585096533632607115729821745792439311<163>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:508671755
Step 1 took 24898ms
Step 2 took 10591ms
********** Factor found in step 2: 3524788329394701960072883248675025327
Found prime factor of 37 digits: 3524788329394701960072883248675025327
Composite cofactor 1152865578141695899098008383019097165637225282411840408195897239277169171120651716784383994816619614897351075306038789184029766585096533632607115729821745792439311 has 163 digits

6227777829889260981486060379426767899141823182222502599629814958488389757377536348073584901080108076434116471972529632437089008804079060614223583544099535799954496585452163516668952299433565101936280407<202>

1542216349300047890815177802572043051<37>

4038199849661694666618335013571891642895027750271412159389773056610759512600831502219843481934039596400473669107982117298877217082830130017477205515853286872627751557<166>

Resuming ECM residue saved by @a15c56f1befc with GMP-ECM 7.0.5-dev on Wed Aug 24 09:16:39 2022 
Input number is 6227777829889260981486060379426767899141823182222502599629814958488389757377536348073584901080108076434116471972529632437089008804079060614223583544099535799954496585452163516668952299433565101936280407 (202 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2127837443
Step 1 took 0ms
Step 2 took 5148ms
********** Factor found in step 2: 1542216349300047890815177802572043051
Found prime factor of 37 digits: 1542216349300047890815177802572043051
Composite cofactor 4038199849661694666618335013571891642895027750271412159389773056610759512600831502219843481934039596400473669107982117298877217082830130017477205515853286872627751557 has 166 digits

4038199849661694666618335013571891642895027750271412159389773056610759512600831502219843481934039596400473669107982117298877217082830130017477205515853286872627751557<166>

3311941178909250606442388110680542420062806533<46>

1219284894121105413307759217226161159386045931947298930669856631879266944670525825470600950113199872078845876960761433729<121>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:122279237
Step 1 took 41845ms
Step 2 took 18585ms
********** Factor found in step 2: 3311941178909250606442388110680542420062806533
Found prime factor of 46 digits: 3311941178909250606442388110680542420062806533
Composite cofactor 1219284894121105413307759217226161159386045931947298930669856631879266944670525825470600950113199872078845876960761433729 has 121 digits

1219284894121105413307759217226161159386045931947298930669856631879266944670525825470600950113199872078845876960761433729<121>

51294874835446600082747239884014407927874401609827047<53>
23770111498128381767905018882052926189262646388315712587900136005207<68>

1219284894121105413307759217226161159386045931947298930669856631879266944670525825470600950113199872078845876960761433729=51294874835446600082747239884014407927874401609827047*23770111498128381767905018882052926189262646388315712587900136005207

cado polynomial
n: 1219284894121105413307759217226161159386045931947298930669856631879266944670525825470600950113199872078845876960761433729
skew: 169655.419
c0: -17718367571698064081479751616
c1: 708865863669145647821582
c2: -1177860927959522748
c3: -43559075939615
c4: -169710468
c5: 180
Y0: -458866642187449295588113
Y1: 535763275662679
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.429e-06
# f(x) = 180*x^5-169710468*x^4-43559075939615*x^3-1177860927959522748*x^2+708865863669145647821582*x-17718367571698064081479751616
# g(x) = 535763275662679*x-458866642187449295588113

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 23770111498128381767905018882052926189262646388315712587900136005207 51294874835446600082747239884014407927874401609827047
Info:Square Root: Total cpu/real time for sqrt: 214.16/65.9006
Info:Generate Factor Base: Total cpu/real time for makefb: 5.09/1.4058
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13599770
Info:Lattice Sieving: Average J: 1927.44 for 277891 special-q, max bucket fill -bkmult 1.0,1s:1.266410
Info:Lattice Sieving: Total time: 33595.9s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1733.45
Info:Polynomial Selection (root optimized): Rootsieve time: 1730.96
Info:Linear Algebra: Total cpu/real time for bwc: 5962.42/1549.34
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3643.58, WCT time 943.76, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24832 iterations)
Info:Linear Algebra: Lingen CPU time 144.32, WCT time 36.72
Info:Linear Algebra: Mksol: CPU time 2094.43,  WCT time 540.28, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20026/34.740/42.934/48.760/1.033
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15946/33.840/38.000/43.460/0.853
Info:Polynomial Selection (size optimized): Total time: 2261.21
Info:Generate Free Relations: Total cpu/real time for freerel: 126.36/33.0162
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 147.03/129.783
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 113.50000000000001s
Info:Square Root: Total cpu/real time for sqrt: 214.16/65.9006
Info:Quadratic Characters: Total cpu/real time for characters: 25.64/9.99485
Info:Filtering - Singleton removal: Total cpu/real time for purge: 64.17/73.718
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.12/56.7826
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 56.5s
Info:Filtering - Merging: Merged matrix has 787229 rows and total weight 79701966 (101.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 61.98/20.1469
Info:Filtering - Merging: Total cpu/real time for replay: 19.95/15.7334
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 72917.1/19836.7
Info:root: Cleaning up computation data in /tmp/cado.0_8hqqs_
23770111498128381767905018882052926189262646388315712587900136005207 51294874835446600082747239884014407927874401609827047

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)

12267076181777276442610135664301497960011490660451247495236089751610226818293366354162246383903841328681821413706978557018157155115478284125919891999018736048650714886001617862538138683753334226377859979<203>

149021905195682555322431116575013910785279<42>
82317268495992069059590612107773155172545885013577133492473637885042687287718632399077108839064896343027603137952189903825256604615779131472235628682721829629301<161>

Resuming ECM residue saved by @a15c56f1befc with GMP-ECM 7.0.5-dev on Wed Aug 24 09:19:34 2022 
Input number is 12267076181777276442610135664301497960011490660451247495236089751610226818293366354162246383903841328681821413706978557018157155115478284125919891999018736048650714886001617862538138683753334226377859979 (203 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1683933242
Step 1 took 0ms
Step 2 took 5007ms
********** Factor found in step 2: 149021905195682555322431116575013910785279
Found prime factor of 42 digits: 149021905195682555322431116575013910785279
Prime cofactor 82317268495992069059590612107773155172545885013577133492473637885042687287718632399077108839064896343027603137952189903825256604615779131472235628682721829629301 has 161 digits

2612116254122168454010006504832146564668289835787350989963132129447538793459863743960418459980671325893847894332846896565159478204173069981828529160323494476895238199196877603251007837204692583375332274665039551<211>

7387153465678894911382902603121187062595034530727771688932878208405513351839057103460784057938505501500444029045524299713159731331966153061615615778388662703275261028623670077<175>

444969448537941015662360271562640828016639095970629592464048791243302337416033605030460280349767558261047355943553967247172348795426571146427418120628793545640843120675267016123518320542142097722137110993<204>

46820306417868272807446325643320695013217500331125623642629530122299535301442918470029396779503270664765461079625255002398179790350191672560240355810687259908480674431921923905194243949<185>

4162074230943117520977718529105856601<37>

11249272314698454330355525126327293749485037789174501507402592103411765353463462496552165235602708711427946457102599359526248926782413511543576970549<149>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4226664399
Step 1 took 12216ms
Step 2 took 5532ms
********** Factor found in step 2: 4162074230943117520977718529105856601
Found prime factor of 37 digits: 4162074230943117520977718529105856601
Composite cofactor 11249272314698454330355525126327293749485037789174501507402592103411765353463462496552165235602708711427946457102599359526248926782413511543576970549 has 149 digits

11249272314698454330355525126327293749485037789174501507402592103411765353463462496552165235602708711427946457102599359526248926782413511543576970549<149>

27181775241255603896379410399536969656893507236488910799<56>
413853481417382887849884055456744081935448213817076235474602800582811113373217267208851640251<93>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3891360019
Step 1 took 81391ms
Step 2 took 29125ms
********** Factor found in step 2: 27181775241255603896379410399536969656893507236488910799
Found prime factor of 56 digits: 27181775241255603896379410399536969656893507236488910799
Prime cofactor 413853481417382887849884055456744081935448213817076235474602800582811113373217267208851640251 has 93 digits
 

GMP-ECM

73947667804323094425483503981797497155858930602957906712172923777019340159271899886234357224118316268486916951080773606370875995449374288964732650739476678043230944254835039817974971558589306029579067121729237770193401592719<224>

289235035485307193579597334073529082157<39>

255666356879090986594248784649236496542946736339675859491539405692023859742087258548854022605778856347928789042207405728698427199009408731617519114204986540271930438379754262412387642667<186>

Resuming ECM residue saved by @52a2f9dfbb6a with GMP-ECM 7.0.5-dev on Mon Aug 22 13:05:29 2022 
Input number is 73947667804323094425483503981797497155858930602957906712172923777019340159271899886234357224118316268486916951080773606370875995449374288964732650739476678043230944254835039817974971558589306029579067121729237770193401592719 (224 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:38151846
Step 1 took 0ms
Step 2 took 5635ms
********** Factor found in step 2: 289235035485307193579597334073529082157
Found prime factor of 39 digits: 289235035485307193579597334073529082157
Composite cofactor 255666356879090986594248784649236496542946736339675859491539405692023859742087258548854022605778856347928789042207405728698427199009408731617519114204986540271930438379754262412387642667 has 186 digits

255666356879090986594248784649236496542946736339675859491539405692023859742087258548854022605778856347928789042207405728698427199009408731617519114204986540271930438379754262412387642667<186>

1024653690288199887629867996684112082573<40>
249514893961081448106322324867715072668395928070749361022060800851165934504771391132685501795244738428523392506091864759379803972838457289974857879<147>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3423397326
Step 1 took 32621ms
Step 2 took 14633ms
********** Factor found in step 2: 1024653690288199887629867996684112082573
Found prime factor of 40 digits: 1024653690288199887629867996684112082573
Prime cofactor 249514893961081448106322324867715072668395928070749361022060800851165934504771391132685501795244738428523392506091864759379803972838457289974857879 has 147 digits

12170648592292079308542828263706948454412691617815029821263538157005086812275843018029833199711007863630502414579936829402843650974106218358919859<146>

422765134573109004177199713682505337212513519623<48>
28788203181848247804992562900859217642878420301132192649563724343724174181279544137260502706470133<98>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 12170648592292079308542828263706948454412691617815029821263538157005086812275843018029833199711007863630502414579936829402843650974106218358919859 (146 digits)
Using B1=68930000, B2=388139871220, polynomial Dickson(30), sigma=1:2763838031
Step 1 took 145340ms
Step 2 took 56412ms
********** Factor found in step 2: 422765134573109004177199713682505337212513519623
Found prime factor of 48 digits: 422765134573109004177199713682505337212513519623
Prime cofactor 28788203181848247804992562900859217642878420301132192649563724343724174181279544137260502706470133 has 98 digits

1287167131447213874502236213599058717893836706900878550021945353128112463839890005909432690999145471764737255509477132650027384330831167119626121522117289777969089232115041840706701840434809819<193>

146568240356497327365186529925129185269367407228796147508801430522163047938742241447800160446159302559830063442425913305529258364003923849295584439354744578493369078967438508154626151<183>

10781676126820092327127186562073351243417445805148572881879438446217270105151288761850509573676256780089156771161873650804857914553279120109979558930563048940219<161>

11395006235477694565754103900608199688966897141015744304773<59>
946175535494835068475223576945644986929721737646684250276823473693815810156894998106610949727175178303<102>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 10781676126820092327127186562073351243417445805148572881879438446217270105151288761850509573676256780089156771161873650804857914553279120109979558930563048940219 (161 digits)
Using B1=61820000, B2=388130449990, polynomial Dickson(30), sigma=1:281116359
Step 1 took 149005ms
Step 2 took 59384ms
********** Factor found in step 2: 11395006235477694565754103900608199688966897141015744304773
Found prime factor of 59 digits: 11395006235477694565754103900608199688966897141015744304773
Prime cofactor 946175535494835068475223576945644986929721737646684250276823473693815810156894998106610949727175178303 has 102 digits

37976561270983616544306736557559503601505191950725445090097729943013656172156252600312378621711391022705170825004481882825333031814516678108779613015852428252295824697732131386216475219252202570128252396241863<209>

1051471746135848802369215818227789257742951511853320668101630071272652995276700528752479574039676252498146878710019758821985812764176725655613207483901154053331284913<166>

42321802789737498201556374482438508547204726692109700041398629372212589309177657940771126329829735353808725829435851515892194312003589266604907160179551538626512534708082572936885484053414221135690747437<203>

23196403912328383122657694562976293<35>

1824498441641826318014061577404763100347075532811241690658938725806970037193474930125804424027264344798258494183101679970098761531726796798583184029976984673996085045609<169>

Resuming ECM residue saved by @a15c56f1befc with GMP-ECM 7.0.5-dev on Wed Aug 24 09:31:16 2022 
Input number is 42321802789737498201556374482438508547204726692109700041398629372212589309177657940771126329829735353808725829435851515892194312003589266604907160179551538626512534708082572936885484053414221135690747437 (203 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3431710890
Step 1 took 0ms
Step 2 took 5110ms
********** Factor found in step 2: 23196403912328383122657694562976293
Found prime factor of 35 digits: 23196403912328383122657694562976293
Composite cofactor 1824498441641826318014061577404763100347075532811241690658938725806970037193474930125804424027264344798258494183101679970098761531726796798583184029976984673996085045609 has 169 digits

45806906272022551092318534178999295278365045806906272022551092318534178999295278365045806906272022551092318534178999295278365045806906272022551092318534178999295278365045806906272022551092318534178999295278365045806906272022551092318534179<239>

652900380485208057161565015360441549504701600114180433388686489859648194844591764456443517870088635179615064487838670322266378732395126825128768217357362565286290657389742580870021305230771495265913137749813369<210>

292071764099908093632018811054863625451<39>
2235410815890687824453755181492083350163826750301506986318626560730339265058798612786630729199162026281756837321429709520960631143437239249657042598177650034057087407019819<172>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3576174465
Step 1 took 57192ms
Step 2 took 23173ms
********** Factor found in step 2: 292071764099908093632018811054863625451
Found prime factor of 39 digits: 292071764099908093632018811054863625451
Prime cofactor 2235410815890687824453755181492083350163826750301506986318626560730339265058798612786630729199162026281756837321429709520960631143437239249657042598177650034057087407019819 has 172 digits

1819619980874377728196553714172064500228199441553440433390299678286910044649849169978222663670270386214568357520477980494281944674701637748984961618603<151>

268698433235352618708583334276122277231<39>
6771978380985105642182128622364116444049897655061568217229882531557765949732902897822993632560812267532696596613<112>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3764980490
Step 1 took 5969ms
Step 2 took 3344ms
********** Factor found in step 2: 268698433235352618708583334276122277231
Found prime factor of 39 digits: 268698433235352618708583334276122277231
Prime cofactor 6771978380985105642182128622364116444049897655061568217229882531557765949732902897822993632560812267532696596613 has 112 digits

GMP-ECM

40012015943577747499065585829135147679935524863939594889766754023553163798245055319657070289895254225671104893760058249341922270514197178649527648818183105532392371652257853219282461830421308071137003532861243827115197905327393868823<233>

501194021600209597308865307695400634156692538225953768135505587508683239240933463883862287019303228403384837929181417779250335048898015369014812952863907408597045520871891966674796533203816401552412794602270990599714983032845383709<231>

1869088387965550266183687929818580787142291172233550242805564461046182847721754506131300770779513976516870968397111598701613118869825291514683112373893167763862748005168071778327047982470860994626498353633678139523101832343<223>

1305483434231875015409132142933819173750617242552679717781578005039688798975320158198785893777999551110056998260308360895908924362877470045532986196741244124611888455699224831<175>

43526784319726019195670076572625945474580734781801560381663839470045877038138522678666474937094404485134314634586139834657125528039864515321134460786715581907982798390425902644800535797600847465821747680441<206>

174547204271078357244088939660033921509048724576287688775120882981845573806335654967168485877787026729793387080612031984073750234706576561608119590930001261361343652541492970010781939242979156182707026129683986747019617161304213627541335897667<243>

33040674026453773895138480494217321064409887290273271342673143765874986677098114674343236027579584712108630341655378082664545891084688500289153519535574591754638083748018599770293865721408748686505518497390169364097<215>

65864201889312636647448717689504700072699323739295688842946498524936432178670149747511448554456104833439110651041420562045449314436304428512716457586826633775240339753461886490119117661584099990468483134392767<209>

354027808518996556087747445874989535717775384685873886050202665462128770550170249623013207710060829526329965027037008413978970736685160399227930273051628873558032072257039659150469021142739339030235794296720753187507482436849303493764280211463<243>

2419826666719737698626232075956057736502578868567602398116811736727513804932307071995208170449775600922897738810134693301598383339795296591678526784224417501571861662527489479607660489512807893109254092304531363285960740177671444884275269545063<244>

14263053116399926841304908999844684491523041674857769784192984835618501243830571167647240938661672538828523896630239383537573042503095828696520364893658773191131066724130234508206562586781348109359458046079428758151376920594250134423521751<239>

1095874544900782342509599602808250333509<40>
13015224400244890183126854584852756040876134412211073028410213201646282632178034828985484070173562829645195091719158092812776270550015355858656284144309863245524412184500526078145728168806207906796139<200>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1932441396
Step 1 took 84227ms
Step 2 took 31361ms
********** Factor found in step 2: 1095874544900782342509599602808250333509
Found prime factor of 40 digits: 1095874544900782342509599602808250333509
Prime cofactor 13015224400244890183126854584852756040876134412211073028410213201646282632178034828985484070173562829645195091719158092812776270550015355858656284144309863245524412184500526078145728168806207906796139 has 200 digits

1282952456400121319038994958198327284851329437695747514901160109916499740585335221505736969816964804328688867760541262082791961393031141267187761084549418951010937411830928768781615454927324729868897883347<205>

58586853540185790637786005998753267658940068432357659477659537716538785854713287406253677221647865492064678538020548151732210998538564875869713400877859488564314750381947585533471834250879940453472007630096984386375822259169002619534383<236>

13317467987539590170987911702871878739725146461972861803422850233685328806229381575923065576827964871459483872351347347110208269937433780465941040398142509577284737905766001269596324664655581882171225457000072546855021787957905172618896423999092491<248>

335969400940714322634000103375200289450560810461570269292396754018710911252390551506693544218741923812477386674936682689822711531503592288210058406988163539566857910787202150204166020571664857600661601281852483589186954049723471339225719749832015299529642838683<261>

262783967487578288384082173749684811<36>
1278500374862463729228018693009324333448777641695204951510705639726644646515445397112812396615596730573891276002110781868369005772120513846470684138768853346513566907762732095763212408748833866348520430329472736924105401216753<226>

Resuming ECM residue saved by @e183e8cb073f with GMP-ECM 7.0.5-dev on Wed Jun  8 13:45:15 2022 
Input number is 335969400940714322634000103375200289450560810461570269292396754018710911252390551506693544218741923812477386674936682689822711531503592288210058406988163539566857910787202150204166020571664857600661601281852483589186954049723471339225719749832015299529642838683 (261 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1129708373
Step 1 took 0ms
Step 2 took 4632ms
********** Factor found in step 2: 262783967487578288384082173749684811
Found prime factor of 36 digits: 262783967487578288384082173749684811
Prime cofactor 1278500374862463729228018693009324333448777641695204951510705639726644646515445397112812396615596730573891276002110781868369005772120513846470684138768853346513566907762732095763212408748833866348520430329472736924105401216753 has 226 digits

2169290661335161850301613909666802996377755826390272837257636763338030671297064487946493523736856894379102324444939042488255200731090646165818709015726223076165827136597516514995349942911596973233152750352490660869586095108791071956711816034354649717<250>

26085593052618396648006154583840966117<38>

83160488510243576997757304037737925778639475180168827887313305577349377542984537745981626834013825252762221094273554330840302780083869641229457712622776222595293415452697602857262542575080800520998503203207870801<212>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2259271640
Step 1 took 7703ms
********** Factor found in step 2: 26085593052618396648006154583840966117
Found prime factor of 38 digits: 26085593052618396648006154583840966117
Composite cofactor 83160488510243576997757304037737925778639475180168827887313305577349377542984537745981626834013825252762221094273554330840302780083869641229457712622776222595293415452697602857262542575080800520998503203207870801 has 212 digits

GMP-ECM

12213139683644685560649505455290646167125202523601303138829406011142309367150313167613165331245331458379818175263744709342011613201992646430348119558040356994181521198446137023694750397112861594113505423173077<209>

2920159731541957339411333962474986579404163263408303119062722305332411080989343847373674367988520471429194568164482945597852074020876515929791797184930761081552864870558043955444273239655525087557799295085629612781021468797249743266997674147144107010741<253>

69046026297148985074594977748504876716347734360454349479263681258434209831693974518850831306816367593253940892633195222209495878778895870466555997722892608832509944771173600873182177863929924444561735845966153158390125596050283077110463157747200987<248>

2166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<271>

85638998682476943346508563899868247694334650856389986824769433465085638998682476943346508563899868247694334650856389986824769433465085638998682476943346508563899868247694334650856389986824769433465085638998682476943346508563899868247694334650856389986824769433465085639<269>

5434003955939010525344938202606841240723264358061321146393157029807385973774093069623335870619891917669641397945518949596155625618883737179381077660677906405926264878832456798241641490869578533747805272959862518989104967620052388159287136701499<244>

15890039479903389516717320922318726427548990737586527707549802193991922833865062195657285450413312660249329716296872350950270163037605331651051858324223703226414462446179184169986484854709148368413161789718213772905776587644860222662323358807271433<248>

85224870923686617694270583375167707146844049143314687714976827956129029620120216800761197615585535491369732837304296870101496700611974569818074601229796572058728140849693451253302893103977892035469876217718543641446017921737831019066365295671906502177<251>

14091428482600158882831319995316853873327169609165559760311254740622484235273296001542237367036326595566921488741221811197103878495473702972448728108528177010770564953362464741689799258317650142581274256502106585051813694180145725105828838339<242>

1700079995617778483908892731609524225057756945811681177224409393859745686025853691134314257038692637333229253478378077386467447523666773902970480633127468776963155424207913112716672277018848396249195005714001306798294722020899<226>

17824985941672932448959104271590614907124299242516764789881835579266300714248273698952439715344909307328991343522726793261737724643007746071225432808466148655641942762286429487555111116523590125684000396047520543902909457554074784928508189679149234815202435731<260>

35068528739300086409200821606384685257864199939469101806531840986118958999506154189438566506120632436109279994331314036056627709977919798512004950524874224397436154429623613924227752635294337363704478449176017180003529<218>

882503885052576604991471377775023200215691817109476272507074479875689213491970465774846966514975375678409037638231682487106095587054214493383323738171677213086305634000687376595423851177211731249277126431443404071690303125394395893<231>

1224847181441644558477787207943970579<37>
720501217150918325916566541511051989402019502822869762840307040251352966582575074475685954203820897382118634823218533420176902434619167680160727114753243988018669763391075107838295334597288074967<195>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1510053797
Step 1 took 69829ms
Step 2 took 26488ms
********** Factor found in step 2: 1224847181441644558477787207943970579
Found prime factor of 37 digits: 1224847181441644558477787207943970579
Prime cofactor 720501217150918325916566541511051989402019502822869762840307040251352966582575074475685954203820897382118634823218533420176902434619167680160727114753243988018669763391075107838295334597288074967 has 195 digits

175944398809214078437903413608864241452698976749579058718793629326582893444001035691204764787208197468216293310140150773889816538045102079470492858374077660673713482162393842787269677741679793089728793738425683168553029767642953341429840374341479666857572321235603<264>

753704693959147819097337788563466777800869501304129926499809683132027420885648777838431286653287283095005870233778534070451682159993850892394452264321032088638900255483904623365917188068374658286229498019011720194983232684049236754479<234>