61646995654485767397239464775419731425117081906797262732436863338761499265213305092854317387<92>

6864904255198004108248704574437773299834778683<46>
8980022643113714631368381503723087489739466289<46>

N=61646995654485767397239464775419731425117081906797262732436863338761499265213305092854317387
  ( 92 digits)
SNFS difficulty: 105 digits.
Divisors found:
p46 factor: 6864904255198004108248704574437773299834778683
p46 factor: 8980022643113714631368381503723087489739466289
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.19 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 61646995654485767397239464775419731425117081906797262732436863338761499265213305092854317387
m: 100000000000000000000000000
deg: 4
c4: 50
c2: -27
c0: -5
skew: 0.56
# Murphy_E = 2.221e-07
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [200000, 300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 35006 x 35231
Total sieving time: 0.18 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105.000,4,0,0,0,0,0,0,0,0,400000,400000,25,25,44,44,2.2,2.2,20000
total time: 0.19 hours.
 --------- CPU info (if available) ----------

198147392520956239086710204753631954803526573750675496858693398216382596098734451134351974659<93>

551538485990831906433165158453987<33>
359263038852106498769356483459119297019977758814587843900257<60>

N=198147392520956239086710204753631954803526573750675496858693398216382596098734451134351974659
  ( 93 digits)
SNFS difficulty: 107 digits.
Divisors found:
p33 factor: 551538485990831906433165158453987
p60 factor: 359263038852106498769356483459119297019977758814587843900257
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.26 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 198147392520956239086710204753631954803526573750675496858693398216382596098734451134351974659
m: 200000000000000000000000000
deg: 4
c4: 125
c2: -27
c0: -2
skew: 0.36
# Murphy_E = 2.11e-07
type: snfs
lss: 1
rlim: 430000
alim: 430000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 430000/430000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [215000, 335001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 35169 x 35394
Total sieving time: 0.25 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,107.000,4,0,0,0,0,0,0,0,0,430000,430000,25,25,44,44,2.2,2.2,20000
total time: 0.26 hours.
 --------- CPU info (if available) ----------

76324656573770343949335678670316031352363359731606111608229209713500340167071678375312159697<92>

123368426941907709362661475852429189643253371<45>
618672528018132615537863668864995792746770019107<48>

N=76324656573770343949335678670316031352363359731606111608229209713500340167071678375312159697
  ( 92 digits)
SNFS difficulty: 117 digits.
Divisors found:
p45 factor: 123368426941907709362661475852429189643253371
p48 factor: 618672528018132615537863668864995792746770019107
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.92 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 76324656573770343949335678670316031352363359731606111608229209713500340167071678375312159697
m: 100000000000000000000000000000
deg: 4
c4: 50
c2: -27
c0: -5
skew: 0.56
# Murphy_E = 6.209e-08
type: snfs
lss: 1
rlim: 640000
alim: 640000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 640000/640000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [320000, 520001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 50152 x 50377
Total sieving time: 0.90 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,117.000,4,0,0,0,0,0,0,0,0,640000,640000,25,25,45,45,2.2,2.2,50000
total time: 0.92 hours.
 --------- CPU info (if available) ----------

442728107284240802207371785028634700867400194466603901372168552735213<69>

4941730851053087001909496721652257<34>
89589684389609173083859923520005709<35>

442728107284240802207371785028634700867400194466603901372168552735213 = 4941730851053087001909496721652257 * 89589684389609173083859923520005709

Time elapsed: 0d 0h 1m 28.9s

Modular multiplications:

ECM: 10552042
Probable prime checking: 1174
SIQS: 43580
Sum of squares: 553
SIQS:

94456 polynomials sieved
100391 sets of trial divisions
5423 smooth congruences found (1 out of every 916587 values)
53753 partial congruences found (1 out of every 92472 values)
5230 useful partial congruences
Size of binary matrix: 9834 × 9534

Dario Alpern's calculator

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)

709167986598902053387282914877252796016589087404211677745403422683562852627153546679<84>

1560003096233869512126500261985026077<37>
454593960942104685108970820120678253424713753827<48>

starting SIQS on c84: 709167986598902053387282914877252796016589087404211677745403422683562852627153546679

==== sieving in progress (  4 threads):   59056 relations needed ====
====             Press ctrl-c to abort and save state            ====
59947 rels found: 21212 full + 38735 from 568555 partial, (1501.06 rels/sec)

SIQS elapsed time = 415.0810 seconds.


***factors found***

P48 = 454593960942104685108970820120678253424713753827
P37 = 1560003096233869512126500261985026077

YAFU/SIQS

13386880856760374832663989290495314591700133868808567603748326632663989290495314591700133868808567603748326639892904953145917<125>

61867880879385167295252159635300629391625581<44>
216378525762969553110515171721905849041649452528304019488406296418847719382883857<81>

N=13386880856760374832663989290495314591700133868808567603748326632663989290495314591700133868808567603748326639892904953145917
  ( 125 digits)
SNFS difficulty: 127 digits.
Divisors found:
p44 factor: 61867880879385167295252159635300629391625581
p81 factor: 216378525762969553110515171721905849041649452528304019488406296418847719382883857
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.36 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 13386880856760374832663989290495314591700133868808567603748326632663989290495314591700133868808567603748326639892904953145917
m: 20000000000000000000000000000000
deg: 4
c4: 125
c2: -27
c0: -2
skew: 0.36
# Murphy_E = 2.429e-08
type: snfs
lss: 1
rlim: 930000
alim: 930000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 930000/930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [465000, 765001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 101414 x 101640
Total sieving time: 1.33 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,127.000,4,0,0,0,0,0,0,0,0,930000,930000,26,26,46,46,2.3,2.3,75000
total time: 1.36 hours.
 --------- CPU info (if available) ----------

1276100088068568231587672483265666127270747592427159081999326505704360921295942205735523775452575179276973<106>

368862827507674287422839102334426559788677657<45>
3459551879192865093223640967483221271751944730761575110641589<61>

1276100088068568231587672483265666127270747592427159081999326505704360921295942205735523775452575179276973=368862827507674287422839102334426559788677657*3459551879192865093223640967483221271751944730761575110641589

cado polynomial
n: 1276100088068568231587672483265666127270747592427159081999326505704360921295942205735523775452575179276973
skew: 0.36
type: snfs
c0: -2
c2: -27
c4: 125
Y0: 2000000000000000000000000000000000
Y1: -1
# f(x) = 125*x^4-27*x^2-2
# g(x) = -x+200000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1260000
tasks.lim1 = 1260000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 47
tasks.sieve.mfb1 = 47
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: 368862827507674287422839102334426559788677657 3459551879192865093223640967483221271751944730761575110641589
Info:Square Root: Total cpu/real time for sqrt: 14.79/4.79268
Info:Filtering - Singleton removal: Total cpu/real time for purge: 54.72/46.2367
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6152863
Info:Lattice Sieving: Average J: 1893.35 for 64247 special-q, max bucket fill -bkmult 1.0,1s:1.326450
Info:Lattice Sieving: Total time: 6312.55s
Info:Linear Algebra: Total cpu/real time for bwc: 160.95/43.39
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 91.78, WCT time 24.09, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3456 iterations)
Info:Linear Algebra: Lingen CPU time 12.66, WCT time 3.27
Info:Linear Algebra: Mksol: CPU time 50.3,  WCT time 13.36, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1728 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 44.31/13.2013
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.65/23.4285
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.3s
Info:Filtering - Merging: Merged matrix has 108514 rows and total weight 18458426 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 21.88/6.15114
Info:Filtering - Merging: Total cpu/real time for replay: 3.34/2.77133
Info:Generate Factor Base: Total cpu/real time for makefb: 0.79/0.438595
Info:Quadratic Characters: Total cpu/real time for characters: 3.39/1.32598
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.5/47.7235
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.900000000000006s
Info:Square Root: Total cpu/real time for sqrt: 14.79/4.79268
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 11727.2/3465.2
Info:root: Cleaning up computation data in /tmp/cado.8gr42wq9
368862827507674287422839102334426559788677657 3459551879192865093223640967483221271751944730761575110641589

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)

3435243426273607199369363233374699126222715339049187463950705776584663665101424450859479853049451453476381994986558337337015077461<130>

3564971545948173736248782562933403<34>
2017489652248375126037380376874016886131<40>
477628390360857920273237053158553917996359943701061037877<57>

Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:1072758390 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 3435243426273607199369363233374699126222715339049187463950705776584663665101424450859479853049451453476381994986558337337015077461 (130 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1072758390
Step 1 took 2438ms
Step 2 took 3218ms
********** Factor found in step 2: 3564971545948173736248782562933403
Found probable prime factor of 34 digits: 3564971545948173736248782562933403
Composite cofactor 963610335173078411648405967943738575561187686131454832863558405381323581283052337598022586983887 has 96 digits

Thu May 19 11:45:36 2022  Msieve v. 1.53 (SVN unknown)
Thu May 19 11:45:36 2022  random seeds: ad62f334 2ae8babb
Thu May 19 11:45:36 2022  factoring 963610335173078411648405967943738575561187686131454832863558405381323581283052337598022586983887 (96 digits)
Thu May 19 11:45:36 2022  searching for 15-digit factors
Thu May 19 11:45:37 2022  commencing number field sieve (96-digit input)
Thu May 19 11:45:37 2022  R0: -14290378077908509139586
Thu May 19 11:45:37 2022  R1: 1
Thu May 19 11:45:37 2022  A0: -238885568724532387603
Thu May 19 11:45:37 2022  A1: 852001773672782458203
Thu May 19 11:45:37 2022  A2: -93032666106874787
Thu May 19 11:45:37 2022  A3: 166563783
Thu May 19 11:45:37 2022  A4: 23106096
Thu May 19 11:45:37 2022  skew 1635.25, size 5.185e-14, alpha -2.543, combined = 5.795e-09 rroots = 4
Thu May 19 11:45:37 2022  
Thu May 19 11:45:37 2022  commencing square root phase
Thu May 19 11:45:37 2022  reading relations for dependency 1
Thu May 19 11:45:37 2022  read 97154 cycles
Thu May 19 11:45:37 2022  cycles contain 301314 unique relations
Thu May 19 11:45:40 2022  read 301314 relations
Thu May 19 11:45:41 2022  multiplying 301314 relations
Thu May 19 11:45:50 2022  multiply complete, coefficients have about 15.99 million bits
Thu May 19 11:45:50 2022  initial square root is modulo 1538384563
Thu May 19 11:46:03 2022  GCD is N, no factor found
Thu May 19 11:46:03 2022  reading relations for dependency 2
Thu May 19 11:46:03 2022  read 97036 cycles
Thu May 19 11:46:04 2022  cycles contain 301048 unique relations
Thu May 19 11:46:07 2022  read 301048 relations
Thu May 19 11:46:08 2022  multiplying 301048 relations
Thu May 19 11:46:16 2022  multiply complete, coefficients have about 15.98 million bits
Thu May 19 11:46:16 2022  initial square root is modulo 1515246077
Thu May 19 11:46:29 2022  sqrtTime: 52
Thu May 19 11:46:29 2022  p40 factor: 2017489652248375126037380376874016886131
Thu May 19 11:46:29 2022  p57 factor: 477628390360857920273237053158553917996359943701061037877
Thu May 19 11:46:29 2022  elapsed time 00:00:53

252972144368137388387661013740013915685559949931026512610912309344056299567160587530075583<90>

2791838080993787694531723222585939462451<40>
90611323805028467053860918311499896589332444049733<50>

P50 = 90611323805028467053860918311499896589332444049733
P40 = 2791838080993787694531723222585939462451

YAFU/SIQS

1511343101070318418700473558427979075670505586365097967197560174050804791673905835359991966491592287969889<106>

124243640025466462351722525753134849400379995338083<51>
12164349827166488858453887513960738261754155400553023083<56>

1511343101070318418700473558427979075670505586365097967197560174050804791673905835359991966491592287969889=124243640025466462351722525753134849400379995338083*12164349827166488858453887513960738261754155400553023083

cado polynomial
n: 1511343101070318418700473558427979075670505586365097967197560174050804791673905835359991966491592287969889
skew: 7739.669
c0: -14365215433754237220141
c1: -6306624694236763463
c2: -67270810757033264
c3: 1391836425423
c4: 175615485
c5: -23400
Y0: -201946338267136768034
Y1: 1006513921701131
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.308e-06
# f(x) = -23400*x^5+175615485*x^4+1391836425423*x^3-67270810757033264*x^2-6306624694236763463*x-14365215433754237220141
# g(x) = 1006513921701131*x-201946338267136768034

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

cado log (extracts)
Info:Square Root: Factors: 12164349827166488858453887513960738261754155400553023083 124243640025466462351722525753134849400379995338083
Info:Square Root: Total cpu/real time for sqrt: 121.17/41.9044
Info:Filtering - Singleton removal: Total cpu/real time for purge: 15.17/27.5399
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4614521
Info:Lattice Sieving: Average J: 1880.68 for 42260 special-q, max bucket fill -bkmult 1.0,1s:1.352740
Info:Lattice Sieving: Total time: 5505.83s
Info:Linear Algebra: Total cpu/real time for bwc: 819.49/376.21
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 357.41, WCT time 181.66, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (7296 iterations)
Info:Linear Algebra: Lingen CPU time 246.01, WCT time 86.65
Info:Linear Algebra: Mksol: CPU time 199.54,  WCT time 99.32, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (3584 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.49/0.698686
Info:Generate Free Relations: Total cpu/real time for freerel: 62.45/21.1343
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.92/21.1392
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.1s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 147.11
Info:Polynomial Selection (root optimized): Rootsieve time: 146.48
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 39.49/43.3169
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 34.5s
Info:Filtering - Merging: Merged matrix has 229206 rows and total weight 33348293 (145.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 32.86/12.4372
Info:Filtering - Merging: Total cpu/real time for replay: 7.54/6.14101
Info:Quadratic Characters: Total cpu/real time for characters: 8.84/4.29956
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9944/29.910/37.203/42.190/1.039
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7649/29.030/33.003/37.700/0.872
Info:Polynomial Selection (size optimized): Total time: 493.38
Info:Square Root: Total cpu/real time for sqrt: 121.17/41.9044
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 9181/3645.63
Info:root: Cleaning up computation data in /tmp/cado.wsz906v2
12164349827166488858453887513960738261754155400553023083 124243640025466462351722525753134849400379995338083

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)

6969957432424997144238202349827216137401779181340876405704818758337327617460580311036304807012714759457466046161<112>

38178026557549458493700084303440335329249<41>
182564633662206225795288395570285306928163353386814185853697019933007089<72>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), 2 threads
GMP-ECM 7.0.5-dev [configured with GMP 6.2.1, --enable-asm-redc, --enable-assert] [ECM]
Run 1295 out of 2078:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3565044165
Step 1 took 2532ms
Step 2 took 1703ms
********** Factor found in step 2: 38178026557549458493700084303440335329249
Found prime factor of 41 digits: 38178026557549458493700084303440335329249

3225097123027280443415723038492432753513354408544562034516580040429235758337271090209575541223848268254535548764554184186126798216065672969<139>

197281598424902745738943214059977188701315131353<48>
16347683457435826609028886183795344261899253250248125428081568296676153715661845851322231473<92>

Sat May 21 18:30:36 2022  Msieve v. 1.53 (SVN unknown)
Sat May 21 18:30:36 2022  random seeds: 4e0fb5d0 c5b5970a
Sat May 21 18:30:36 2022  factoring 3225097123027280443415723038492432753513354408544562034516580040429235758337271090209575541223848268254535548764554184186126798216065672969 (139 digits)
Sat May 21 18:30:37 2022  searching for 15-digit factors
Sat May 21 18:30:37 2022  commencing number field sieve (139-digit input)
Sat May 21 18:30:37 2022  R0: -10000000000000000000000000000000000000000
Sat May 21 18:30:37 2022  R1: 1
Sat May 21 18:30:37 2022  A0: -5
Sat May 21 18:30:37 2022  A1: 0
Sat May 21 18:30:37 2022  A2: -27
Sat May 21 18:30:37 2022  A3: 0
Sat May 21 18:30:37 2022  A4: 50
Sat May 21 18:30:37 2022  skew 0.56, size 1.369e-16, alpha 0.097, combined = 3.964e-10 rroots = 2
Sat May 21 18:30:37 2022  
Sat May 21 18:30:37 2022  commencing square root phase
Sat May 21 18:30:37 2022  reading relations for dependency 1
Sat May 21 18:30:37 2022  read 359706 cycles
Sat May 21 18:30:38 2022  cycles contain 1224428 unique relations
Sat May 21 18:30:55 2022  read 1224428 relations
Sat May 21 18:31:00 2022  multiplying 1224428 relations
Sat May 21 18:31:22 2022  multiply complete, coefficients have about 33.04 million bits
Sat May 21 18:31:22 2022  initial square root is modulo 55511
Sat May 21 18:31:53 2022  sqrtTime: 76
Sat May 21 18:31:53 2022  p48 factor: 197281598424902745738943214059977188701315131353
Sat May 21 18:31:53 2022  p92 factor: 16347683457435826609028886183795344261899253250248125428081568296676153715661845851322231473
Sat May 21 18:31:53 2022  elapsed time 00:01:17

295527686433742272428575523990215560284851911012770376133876129397381191030495049747318862345746457864360280528572516386841797<126>

608799767385451086846333830558167784629237450081172889427091<60>
485426740064166299010048474572300178210822940061785922057844893767<66>

295527686433742272428575523990215560284851911012770376133876129397381191030495049747318862345746457864360280528572516386841797=
608799767385451086846333830558167784629237450081172889427091*485426740064166299010048474572300178210822940061785922057844893767

cado polynomial
n: 295527686433742272428575523990215560284851911012770376133876129397381191030495049747318862345746457864360280528572516386841797
skew: 0.36
type: snfs
c0: -2
c2: -27
c4: 125
Y0: 20000000000000000000000000000000000000000
Y1: -1
# f(x) = 125*x^4-27*x^2-2
# g(x) = -x+20000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3700000
tasks.lim1 = 3700000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 485426740064166299010048474572300178210822940061785922057844893767 608799767385451086846333830558167784629237450081172889427091
Info:Square Root: Total cpu/real time for sqrt: 217.1/68.5396
Info:Filtering - Singleton removal: Total cpu/real time for purge: 53.51/56.1952
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11628673
Info:Lattice Sieving: Average J: 1893.45 for 665431 special-q, max bucket fill -bkmult 1.0,1s:1.236510
Info:Lattice Sieving: Total time: 69014.3s
Info:Linear Algebra: Total cpu/real time for bwc: 6169.42/1585.46
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3863.32, WCT time 986.95, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (19968 iterations)
Info:Linear Algebra: Lingen CPU time 105.81, WCT time 26.9
Info:Linear Algebra: Mksol: CPU time 2103.93,  WCT time 536.8, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9984 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.23/52.3386
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 52.3s
Info:Filtering - Merging: Merged matrix has 634739 rows and total weight 108245214 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 133.65/37.5945
Info:Filtering - Merging: Total cpu/real time for replay: 21.8/18.062
Info:Generate Free Relations: Total cpu/real time for freerel: 88.53/24.3528
Info:Generate Factor Base: Total cpu/real time for makefb: 2.32/1.26441
Info:Quadratic Characters: Total cpu/real time for characters: 20.97/8.2972
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 105.3/88.4601
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 79.2s
Info:Square Root: Total cpu/real time for sqrt: 217.1/68.5396
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 133876/36633.5
Info:root: Cleaning up computation data in /tmp/cado.zx9txihh
485426740064166299010048474572300178210822940061785922057844893767 608799767385451086846333830558167784629237450081172889427091

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)

68140926593798070221197468301433255568429898857047324265156595737045562461033029468257360525122729935584635030866383<116>

4832218898142766757346231842835442322268483369179<49>
14101374136835483805426615688488597993171969500402325706975006792477<68>

68140926593798070221197468301433255568429898857047324265156595737045562461033029468257360525122729935584635030866383=4832218898142766757346231842835442322268483369179*14101374136835483805426615688488597993171969500402325706975006792477

cado polynomial
n: 68140926593798070221197468301433255568429898857047324265156595737045562461033029468257360525122729935584635030866383
skew: 12558.606
c0: -8072423480946388945540864
c1: 9193748477183582488686
c2: 282175388868916341
c3: -80092416728194
c4: 460485330
c5: 101700
Y0: -31049573005142803415809
Y1: 1732588652242100341
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.106e-07
# f(x) = 101700*x^5+460485330*x^4-80092416728194*x^3+282175388868916341*x^2+9193748477183582488686*x-8072423480946388945540864
# g(x) = 1732588652242100341*x-31049573005142803415809

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

cado log (extracts)
Info:Square Root: Factors: 4832218898142766757346231842835442322268483369179 14101374136835483805426615688488597993171969500402325706975006792477
Info:Square Root: Total cpu/real time for sqrt: 145.06/43.8022
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 129.72/137.382
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 102.99999999999999s
Info:Square Root: Total cpu/real time for sqrt: 145.06/43.8022
Info:Filtering - Singleton removal: Total cpu/real time for purge: 101.14/115.382
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7493343
Info:Lattice Sieving: Average J: 1895.76 for 186441 special-q, max bucket fill -bkmult 1.0,1s:1.274370
Info:Lattice Sieving: Total time: 20387.8s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.06/1.0956
Info:Linear Algebra: Total cpu/real time for bwc: 2693.01/695.07
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1663.49, WCT time 425.65, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14464 iterations)
Info:Linear Algebra: Lingen CPU time 73.34, WCT time 18.71
Info:Linear Algebra: Mksol: CPU time 917.67,  WCT time 234.47, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 64.17/16.9029
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 30.38/34.4315
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 33.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 422.86
Info:Polynomial Selection (root optimized): Rootsieve time: 421.72
Info:Filtering - Merging: Merged matrix has 459280 rows and total weight 71225046 (155.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 75.77/22.4719
Info:Filtering - Merging: Total cpu/real time for replay: 15.54/12.5757
Info:Quadratic Characters: Total cpu/real time for characters: 16.73/6.56142
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21766/33.510/41.342/46.720/1.085
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17235/32.250/36.602/41.790/0.851
Info:Polynomial Selection (size optimized): Total time: 1800.79
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 42955/11750.6
Info:root: Cleaning up computation data in /tmp/cado.jngusw30
4832218898142766757346231842835442322268483369179 14101374136835483805426615688488597993171969500402325706975006792477

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)

182719026925223675719879128162507918572241107282682441809670739823191265288594365171913130787045845161<102>

101517562794195566934387984377816207<36>
1799876020424624847345468268168021840644410694183384202434294033223<67>

N=182719026925223675719879128162507918572241107282682441809670739823191265288594365171913130787045845161
  ( 102 digits)
Divisors found:
p36 factor: 101517562794195566934387984377816207
p67 factor: 1799876020424624847345468268168021840644410694183384202434294033223
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.57 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 182719026925223675719879128162507918572241107282682441809670739823191265288594365171913130787045845161
skew: 392859.53
c0: -6838336454571468087330124
c1: 1968124530689149450462
c2: -7245938374763585
c3: -36191942176
c4: 12180
Y0: -1968046740615907949652225
Y1: 7852445718059
rlim: 2080000
alim: 2080000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2080000/2080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1040000, 1440001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 243791 x 244017
Total sieving time: 3.49 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,101,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2080000,2080000,26,26,52,52,2.5,2.5,100000
total time: 3.57 hours.
 --------- CPU info (if available) ----------

1961407468086854968305513988355597707163659771504977450912915792504786652711482067583707494167039985424150262888295412554875806502301791<136>

6679863317346436661582360391828817176813404994522023<52>
293629880568577330478408779118406436099947615095228830252939076033100147835741383817<84>

1961407468086854968305513988355597707163659771504977450912915792504786652711482067583707494167039985424150262888295412554875806502301791=6679863317346436661582360391828817176813404994522023*293629880568577330478408779118406436099947615095228830252939076033100147835741383817

cado polynomial
n: 1961407468086854968305513988355597707163659771504977450912915792504786652711482067583707494167039985424150262888295412554875806502301791
skew: 0.68
type: snfs
c0: -5
c3: -27
c6: 50
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 50*x^6-27*x^3-5
# g(x) = -x+1000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7500000
tasks.lim1 = 7500000
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: 293629880568577330478408779118406436099947615095228830252939076033100147835741383817 6679863317346436661582360391828817176813404994522023
Info:Square Root: Total cpu/real time for sqrt: 537.48/160.546
Info:Generate Free Relations: Total cpu/real time for freerel: 222.09/56.7111
Info:Filtering - Singleton removal: Total cpu/real time for purge: 115.33/118.884
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22419750
Info:Lattice Sieving: Average J: 1893.27 for 1308582 special-q, max bucket fill -bkmult 1.0,1s:1.206770
Info:Lattice Sieving: Total time: 199296s
Info:Linear Algebra: Total cpu/real time for bwc: 21313.9/5479.29
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 13546.64, WCT time 3463.99, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36352 iterations)
Info:Linear Algebra: Lingen CPU time 225.63, WCT time 57.17
Info:Linear Algebra: Mksol: CPU time 7348.18,  WCT time 1885.42, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18176 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.57/105.731
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.6s
Info:Filtering - Merging: Merged matrix has 1156379 rows and total weight 197541101 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 281.4/78.4095
Info:Filtering - Merging: Total cpu/real time for replay: 41.43/35.148
Info:Generate Factor Base: Total cpu/real time for makefb: 6.06/2.76175
Info:Quadratic Characters: Total cpu/real time for characters: 38.94/16.127
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 227.71/195.057
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 175.8s
Info:Square Root: Total cpu/real time for sqrt: 537.48/160.546
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 393239/106248
Info:root: Cleaning up computation data in /tmp/cado.fgkrgz59
293629880568577330478408779118406436099947615095228830252939076033100147835741383817 6679863317346436661582360391828817176813404994522023

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)

488233060755869021656908278155691677812778675443120554120518143646744855539962915213260757640788156794663767504153202778046803758826695971429607652008474537<156>

16019446798685624853468286084559272046867137567923730310590428265658146327<74>
30477523156163415120003661479384181988149646742042336502194745636487480125348999231<83>

Number: n
N=488233060755869021656908278155691677812778675443120554120518143646744855539962915213260757640788156794663767504153202778046803758826695971429607652008474537  ( 156 digits)
SNFS difficulty: 192 digits.
Divisors found:

Thu Dec 22 01:46:17 2022  p74 factor: 16019446798685624853468286084559272046867137567923730310590428265658146327
Thu Dec 22 01:46:17 2022  p83 factor: 30477523156163415120003661479384181988149646742042336502194745636487480125348999231
Thu Dec 22 01:46:17 2022  elapsed time 00:51:49 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 5x10^191-27x10^95-5 = 5(95)25(95)
#
n: 488233060755869021656908278155691677812778675443120554120518143646744855539962915213260757640788156794663767504153202778046803758826695971429607652008474537
m: 100000000000000000000000000000000
deg: 6
c6: 5
c3: -27
c0: -50
skew: 1.47
# Murphy_E = 2.153e-11
type: snfs
lss: 1
rlim: 11400000
alim: 11400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 18578843)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1929068 hash collisions in 14138481 relations (12785436 unique)
Msieve: matrix is 1514189 x 1514414 (527.0 MB)

Sieving start time : 2022/12/21 18:08:54
Sieving end time  : 2022/12/22 00:54:07

Total sieving time: 6hrs 45min 13secs.

Total relation processing time: 0hrs 43min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 12sec.

Prototype def-par.txt line would be:
snfs,192,6,0,0,0,0,0,0,0,0,11400000,11400000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

7411643914377064164102646098164070809849863377275422284715582766099517218895809528285035551196670063647624739035622000272193748020349713204945027<145>

67743718196049833742506376146837294951513<41>
109407102410998757496259227931634312034357703444684783653134807234462888689386782764852733220615817963579<105>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 7411643914377064164102646098164070809849863377275422284715582766099517218895809528285035551196670063647624739035622000272193748020349713204945027 (145 digits)
Using B1=25630000, B2=96191014936, polynomial Dickson(12), sigma=1:2851671831
Step 1 took 51308ms
Step 2 took 16808ms
********** Factor found in step 2: 67743718196049833742506376146837294951513
Found prime factor of 41 digits: 67743718196049833742506376146837294951513
Prime cofactor 109407102410998757496259227931634312034357703444684783653134807234462888689386782764852733220615817963579 has 105 digits

483148005387639127563552005680042966957857396697822623258126566787018109834434195713164022174679422290534050358196710031583676514869604444447445400873067821949<159>

336452244648572026349681451762588689<36>
22422958811139246232733589130116248443651304837<47>
64041845971553213543629092132717517420001575092869252738973953203471986339593<77>

ECM

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 483148005387639127563552005680042966957857396697822623258126566787018109834434195713164022174679422290534050358196710031583676514869604444447445400873067821949 (159 digits)
Using B1=16380000, B2=58558792120, polynomial Dickson(12), sigma=1:1198810742
Step 1 took 37553ms
Step 2 took 15812ms
********** Factor found in step 2: 336452244648572026349681451762588689
Found prime factor of 36 digits: 336452244648572026349681451762588689
Composite cofactor 1436007674409461570772326050604001248886856794241765389793799279665717403947682737781546201096737628168617905400673845511341 has 124 digits


CADO


STA:Sun 17 Jul 2022 15:25:08 AEST (1,436,007,674,409,461,570,772,326,050,604,001,248,886,856,794,241,765,389,793,799,279,665,717,403,947,682,737,781,546,201,096,737,628,168,617,905,400,673,845,511,341 - C124)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1436007674409461570772326050604001248886856794241765389793799279665717403947682737781546201096737628168617905400673845511341 2>&1 | tee -a log172

Debug:root: Looking for parameter file for c124 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.sk6dnjqa
Info:Database: Opened connection to database /tmp/cado.sk6dnjqa/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1436007674409461570772326050604001248886856794241765389793799279665717403947682737781546201096737628168617905400673845511341
Debug:root: Root parameter dictionary:
N = 1436007674409461570772326050604001248886856794241765389793799279665717403947682737781546201096737628168617905400673845511341
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 1436007674409461570772326050604001248886856794241765389793799279665717403947682737781546201096737628168617905400673845511341
skew: 32998.901
c0: 2207691403522318995359814384
c1: -53298070316226037238356
c2: -9116216471036941001
c3: 136063292184209
c4: 3412515570
c5: 46200
Y0: -573712149691358754656017
Y1: 1333193936930557
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 9.78e-10
# f(x) = 46200*x^5+3412515570*x^4+136063292184209*x^3-9116216471036941001*x^2-53298070316226037238356*x+2207691403522318995359814384
# g(x) = 1333193936930557*x-573712149691358754656017
===
Debug:Command: Process with PID 26088 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 64041845971553213543629092132717517420001575092869252738973953203471986339593 22422958811139246232733589130116248443651304837
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 697.1/106.88
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21788/37.050/43.831/48.670/0.875
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21788/35.180/39.547/44.610/1.221
Info:Polynomial Selection (size optimized): Total time: 1808.13
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 998.19
Info:Polynomial Selection (root optimized): Rootsieve time: 997.27
Info:Generate Factor Base: Total cpu/real time for makefb: 8.71/1.42437
Info:Generate Free Relations: Total cpu/real time for freerel: 123.4/13.8183
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13070986
Info:Lattice Sieving: Average J: 3793.69 for 149004 special-q, max bucket fill: 0.763553
Info:Lattice Sieving: Total CPU time: 107619s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.61/57.9973
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 198.02/84.6979
Info:Filtering - Singleton removal: Total cpu/real time for purge: 157.85/82.2557
Info:Filtering - Merging: Total cpu/real time for merge: 271.61/245.374
Info:Filtering - Merging: Total cpu/real time for replay: 24.46/20.5493
Info:Linear Algebra: Total cpu/real time for bwc: 10086.4/0.000228643
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 547.92
Info:Linear Algebra: Lingen CPU time 4358.91, WCT time 572.54
Info:Linear Algebra: Mksol: WCT time 302.6
Info:Quadratic Characters: Total cpu/real time for characters: 19.95/6.72318
Info:Square Root: Total cpu/real time for sqrt: 697.1/106.88
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 122047/14053.3
Info:root: Cleaning up computation data in /tmp/cado.sk6dnjqa
64041845971553213543629092132717517420001575092869252738973953203471986339593 22422958811139246232733589130116248443651304837

END:Sun 17 Jul 2022 19:19:23 AEST (1,436,007,674,409,461,570,772,326,050,604,001,248,886,856,794,241,765,389,793,799,279,665,717,403,947,682,737,781,546,201,096,737,628,168,617,905,400,673,845,511,341 - C124)

1463266006755371870497293032433253574223556483320396831619057294973266711981192695262295610406860022333239743292734039005737511914076252153906416401012789561207596131618805103<175>

654454123279160675228225119934711927<36>

2235857265935825491658969484136671731978121694542715842118915994753334402968156228079871477713062935144399725798632296199380635952077426889<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3124170148
Step 1 took 8560ms
Step 2 took 4149ms
********** Factor found in step 2: 654454123279160675228225119934711927
Found prime factor of 36 digits: 654454123279160675228225119934711927
Composite cofactor 2235857265935825491658969484136671731978121694542715842118915994753334402968156228079871477713062935144399725798632296199380635952077426889 has 139 digits

2235857265935825491658969484136671731978121694542715842118915994753334402968156228079871477713062935144399725798632296199380635952077426889<139>

50798034545907194000630935524668129782045949<44>
44014641234105953797419025057817930142016509433778492481698243043800471021824678708677394576061<95>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:112597936
Step 1 took 23510ms
Step 2 took 11057ms
********** Factor found in step 2: 50798034545907194000630935524668129782045949
Found prime factor of 44 digits: 50798034545907194000630935524668129782045949
Prime cofactor 44014641234105953797419025057817930142016509433778492481698243043800471021824678708677394576061 has 95 digits

242980364886479575341948015175628229255431418861801050164783604770636260271947251354387395321191526458971542038864292365841863969667091089190428829057150153525810891368290159453407419<183>

261861235090747262581259116003091961571<39>

927897421709919852648539579459607944527349114354071901583757093358019306070756485717508441619862239409394637721146286241734553570939262613935689<144>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3772047193
Step 1 took 8575ms
Step 2 took 4105ms
********** Factor found in step 2: 261861235090747262581259116003091961571
Found prime factor of 39 digits: 261861235090747262581259116003091961571
Composite cofactor 927897421709919852648539579459607944527349114354071901583757093358019306070756485717508441619862239409394637721146286241734553570939262613935689 has 144 digits

927897421709919852648539579459607944527349114354071901583757093358019306070756485717508441619862239409394637721146286241734553570939262613935689<144>

615194625672534693098108679622636829515490597022186827011918881803051<69>
1508298972370794797117992371533452514020279724423020858015729878198771931739<76>

927897421709919852648539579459607944527349114354071901583757093358019306070756485717508441619862239409394637721146286241734553570939262613935689=615194625672534693098108679622636829515490597022186827011918881803051*1508298972370794797117992371533452514020279724423020858015729878198771931739

cado polynomial
n: 927897421709919852648539579459607944527349114354071901583757093358019306070756485717508441619862239409394637721146286241734553570939262613935689
skew: 0.32
type: snfs
c0: -1
c3: -54
c6: 1000
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 1000*x^6-54*x^3-1
# g(x) = -x+1000000000000000000000000000000000

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: 1508298972370794797117992371533452514020279724423020858015729878198771931739 615194625672534693098108679622636829515490597022186827011918881803051
Info:Square Root: Total cpu/real time for sqrt: 671.32/208.225
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 557.36/543.319
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 519.5s
Info:Square Root: Total cpu/real time for sqrt: 671.32/208.225
Info:Generate Factor Base: Total cpu/real time for makefb: 13.53/4.66515
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 188.93/208.073
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 206.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 277.39/250.924
Info:Filtering - Merging: Merged matrix has 2072180 rows and total weight 354541695 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 576.52/157.824
Info:Filtering - Merging: Total cpu/real time for replay: 79.15/70.1446
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43277251
Info:Lattice Sieving: Average J: 3789.16 for 1333378 special-q, max bucket fill -bkmult 1.0,1s:1.176500
Info:Lattice Sieving: Total time: 704648s
Info:Linear Algebra: Total cpu/real time for bwc: 74368.9/19162.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 48177.51, WCT time 12343.72, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (65024 iterations)
Info:Linear Algebra: Lingen CPU time 434.36, WCT time 110.3
Info:Linear Algebra: Mksol: CPU time 25350.43,  WCT time 6526.08, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32512 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 72.19/32.2852
Info:Generate Free Relations: Total cpu/real time for freerel: 474.83/120.122
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.43974e+06/129965
Info:root: Cleaning up computation data in /tmp/cado.sseq6ka_
1508298972370794797117992371533452514020279724423020858015729878198771931739 615194625672534693098108679622636829515490597022186827011918881803051

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)

1137268281587626521096326623450471966336858865006254975548731945866029796428977595814852723757534402364903900830205845558967360400318435118844535425906971454566132150574320482201751393153644944842488343<202>

69459436291137786537307550016737144435928913469112022070921426353<65>
16373128581418226707333151332247874682804607185793100841752175966913944339662894073867098522687242080165925451014590578845795686508213831<137>

Number: n
N=1137268281587626521096326623450471966336858865006254975548731945866029796428977595814852723757534402364903900830205845558967360400318435118844535425906971454566132150574320482201751393153644944842488343  ( 202 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sat Nov  4 21:25:58 2023  prp65 factor: 69459436291137786537307550016737144435928913469112022070921426353
Sat Nov  4 21:25:58 2023  prp137 factor: 16373128581418226707333151332247874682804607185793100841752175966913944339662894073867098522687242080165925451014590578845795686508213831
Sat Nov  4 21:25:58 2023  elapsed time 03:22:52 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
#
# N = 5x10^205-27x10^102-5 = 5(102)25(102)
#
n: 1137268281587626521096326623450471966336858865006254975548731945866029796428977595814852723757534402364903900830205845558967360400318435118844535425906971454566132150574320482201751393153644944842488343
m: 10000000000000000000000000000000000
deg: 6
c6: 50
c3: -27
c0: -5
skew: 0.68
# Murphy_E = 8.075e-12
type: snfs
lss: 1
rlim: 18800000
alim: 18800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18800000/18800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3438347 hash collisions in 19245492 relations (16028315 unique)
Msieve: matrix is 2460103 x 2460328 (692.9 MB)

Sieving start time: 2023/11/03 19:46:49
Sieving end time  : 2023/11/04 18:02:42

Total sieving time: 22hrs 15min 53secs.

Total relation processing time: 3hrs 3min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 34sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18800000,18800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

86959982388463586456524955779654271464798724178968490944234348644747070235999273288966411230991952094767264463363878965431785663555645294167678506998220708565477276234721149041<176>

28375998825057588141835896037688123368907905427356324102181119958012280712092947474958382728997031140051034008035827938627376220724938145519742374032111209870545991480956525536920941185343166568487<197>

19911041671462994590717237775610441713121489821658264176326667526259714609466225406547068443336447865149820961775975012471859233561155806904886131623209192057900645572972364264790777888392676657688327<200>

7311473768683965900167992435363864265100352126424291825669261374065099371807482626044395325151145402171860694297145899212415546294809164334578480413872889613289187785733938319971571079<184>

3331784247032774987033337767005116113609417945160948080672214015373127711734094698820872869706729019922065192881185149912278881510255369777454976183125363844848650011427251<172>

1626782935982465503553279190842460015280744221646621<52>
2048081629907560738696822705104002562288667311992730576296757248506098786590575282955154934233949730332901165416876342031<121>

Resuming ECM residue saved by @48927beba2c2 with GMP-ECM 7.0.5-dev on Sun Nov 20 10:20:18 2022 
Input number is 3331784247032774987033337767005116113609417945160948080672214015373127711734094698820872869706729019922065192881185149912278881510255369777454976183125363844848650011427251 (172 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:3905019019
Step 1 took 1ms
Step 2 took 42028ms
********** Factor found in step 2: 1626782935982465503553279190842460015280744221646621
Found prime factor of 52 digits: 1626782935982465503553279190842460015280744221646621
Prime cofactor 2048081629907560738696822705104002562288667311992730576296757248506098786590575282955154934233949730332901165416876342031 has 121 digits

812746351681498076901632452634436705434845372115350183199863538524022846570380320016450035069816367026434874408853599445958882454987263264760992491045951168871548643184175083348264374111257<189>

44587319315101089118431829571923757145038758202326601329886994448243<68>
18228195015218878151049940644202033345579550304958995459959286651816309004631777344492666837159461834016215038186362866499<122>

Number: 55255_111
N = 812746351681498076901632452634436705434845372115350183199863538524022846570380320016450035069816367026434874408853599445958882454987263264760992491045951168871548643184175083348264374111257 (189 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=44587319315101089118431829571923757145038758202326601329886994448243 (pp68)
r2=18228195015218878151049940644202033345579550304958995459959286651816309004631777344492666837159461834016215038186362866499 (pp122)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 28.31 hours.
Factorization parameters were as follows:
n: 812746351681498076901632452634436705434845372115350183199863538524022846570380320016450035069816367026434874408853599445958882454987263264760992491045951168871548643184175083348264374111257
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1000
c2: -54
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31173324
Relations: 8241604 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 10.02 hours.
Total relation processing time: 0.27 hours.
Pruned matrix : 7046196 x 7046421
Matrix solve time: 17.58 hours.
time per square root: 0.45 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 28.31 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

2904613094998202706278765931604300519047144573184654571862120869392002492106117848710849596122725485052973493002472292258951478119961673019416157<145>

341415908437428675908255371777213028411<39>

8507550536505042230992932239804136318413651404722950013014088814889540992105474441844298137232438774780487<106>

p39 = 341415908437428675908255371777213028411  using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:566706252

8507550536505042230992932239804136318413651404722950013014088814889540992105474441844298137232438774780487<106>

17347014396312702899750614762855885026653<41>
490433128268655549321742688454430171081530108896642852299741243379<66>

N=8507550536505042230992932239804136318413651404722950013014088814889540992105474441844298137232438774780487
  ( 106 digits)
Divisors found:
p41 factor: 17347014396312702899750614762855885026653
p66 factor: 490433128268655549321742688454430171081530108896642852299741243379
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 7.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 8507550536505042230992932239804136318413651404722950013014088814889540992105474441844298137232438774780487
skew: 1790450.22
c0: -18177781452069338261057445277
c1: 69626004493016651223252
c2: 30557994224988843
c3: -21348730318
c4: 8400
Y0: -31723516506834684601433698
Y1: 1076619293347
rlim: 2640000
alim: 2640000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2640000/2640000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1320000, 2070001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 308001 x 308228
Total sieving time: 6.90 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,105,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2640000,2640000,26,26,52,52,2.5,2.5,150000
total time: 7.01 hours.
 --------- CPU info (if available) ----------

691834170575030668813039714348768629697836375239975895003608676665781236496375011546145309817260755581814312389742654059447682827454966015986306475974201947709266230999980918199844328386343537349579851<201>

98137261404797033890075488853420746090025836172526723902795819075291844156222852172040742669652789767325200830801876963071324507665695624192098230433151831194754194460164041503<176>

153413545478978023285459813756838540621925055841264138675920195909789711127822261890767325020332330898425120980755117051724261347900515342212840542219465776964180969782516678491<177>

214553629134933470224486382972476949804737784383946701110881699131348566567671817911482971801108721899231349027484358427901044717<129>

11666697341756202564516130304940666248065807217655259<53>
18390262715312407657069584928559135329245953919200997523449511341954317512663<77>

214553629134933470224486382972476949804737784383946701110881699131348566567671817911482971801108721899231349027484358427901044717=11666697341756202564516130304940666248065807217655259*18390262715312407657069584928559135329245953919200997523449511341954317512663

cado polynomial
n: 214553629134933470224486382972476949804737784383946701110881699131348566567671817911482971801108721899231349027484358427901044717
skew: 113196.177
c0: 678986673771768591996206324240
c1: 24392517071092596881821516
c2: -279488401711475675922
c3: -120722974481649
c4: -6866115442
c5: -57960
Y0: -5171472547325221252021453
Y1: 33820673635415797
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.016e-07
# f(x) = -57960*x^5-6866115442*x^4-120722974481649*x^3-279488401711475675922*x^2+24392517071092596881821516*x+678986673771768591996206324240
# g(x) = 33820673635415797*x-5171472547325221252021453

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 18390262715312407657069584928559135329245953919200997523449511341954317512663 11666697341756202564516130304940666248065807217655259
Info:Square Root: Total cpu/real time for sqrt: 684.48/209.144
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 305.48/272.366
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 245.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 157.39/176.412
Info:Generate Free Relations: Total cpu/real time for freerel: 253.07/64.1099
Info:Linear Algebra: Total cpu/real time for bwc: 48035.2/12326.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 30735.52, WCT time 7849.8, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (54016 iterations)
Info:Linear Algebra: Lingen CPU time 337.64, WCT time 85.71
Info:Linear Algebra: Mksol: CPU time 16648.11,  WCT time 4271.27, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27136 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23454643
Info:Lattice Sieving: Average J: 7775.86 for 55926 special-q, max bucket fill -bkmult 1.0,1s:1.069420
Info:Lattice Sieving: Total time: 79163.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 39.28/10.4602
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5146.59
Info:Polynomial Selection (root optimized): Rootsieve time: 5144.1
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 99.84/115.824
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 115.7s
Info:Filtering - Merging: Merged matrix has 1720978 rows and total weight 293405529 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 429.33/121.053
Info:Filtering - Merging: Total cpu/real time for replay: 69.19/57.4386
Info:Quadratic Characters: Total cpu/real time for characters: 67.73/27.8656
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38731/37.790/45.798/50.210/0.841
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30669/37.230/41.051/46.600/0.928
Info:Polynomial Selection (size optimized): Total time: 4920.08
Info:Square Root: Total cpu/real time for sqrt: 684.48/209.144
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 209403/56348.2
Info:root: Cleaning up computation data in /tmp/cado.lj8_zpig
18390262715312407657069584928559135329245953919200997523449511341954317512663 11666697341756202564516130304940666248065807217655259

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)

4509541275625804233558752602748440586823990616491339870287434615176123573197764228546229371935219359573654480189621815809301642438731837490632416154976707805679678682057937026288041949276748682645611007300882492002117957<220>

288683854068297076772868350016887826201183586888615207640343785032295111796946083162286493886613213583374557925268794493928949633333771034438396453824013456916647411551831528727011<180>

72650508183629345214181267823617525614022409190874249356569126366854187999518927705832585430277954661398225380733174576867820337351077760292545747411689301065670214089676713624019571894357519151878092726098010792241219<218>

316555872111427666983222538778094333649889205444761000316555872111427666983222538778094333649889205444761000316555872111427649889205444761000316555872111427666983222538778094333649889205444761000316555872111427666983222538778094333649889205444761<246>

8863713039408692240282902005857970599931692867298619276099369998879838618297456082217840446601137538336203123001393824100047365088098972476076212981201205946114444018653030821600901286170748325765854766438677108829184442281<223>

23448278210291855191254461967997039851419<41>
378011253530685897367104156404601176338959672668381430190723399207094721107148602281202663961021140788274717370270775909374718679008830369925831992560909609186913350188011271839372299<183>

Resuming ECM residue saved by @6567d5130c41 with GMP-ECM 7.0.5-dev on Wed Jul 27 14:10:17 2022 
Input number is 8863713039408692240282902005857970599931692867298619276099369998879838618297456082217840446601137538336203123001393824100047365088098972476076212981201205946114444018653030821600901286170748325765854766438677108829184442281 (223 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2202224779
Step 1 took 0ms
Step 2 took 4516ms
********** Factor found in step 2: 23448278210291855191254461967997039851419
Found prime factor of 41 digits: 23448278210291855191254461967997039851419
Prime cofactor 378011253530685897367104156404601176338959672668381430190723399207094721107148602281202663961021140788274717370270775909374718679008830369925831992560909609186913350188011271839372299 has 183 digits

84606046662826695017499318466055085150029237301285041887323657399714143445462253368980341573966523898700672397213983217275644415177745898526864308599099813859921656445248504424459163017595915017412717<200>

104717359639057582806823978170167340717320992377411640115050169586242071969939911532221028258528979293370322751400170757421063642963918653776090117076257695911511549817<168>

8372911731458147077844973200673413900526698479<46>

12506683815335169949052117820475890033251439719821714077139498986194384947816194875331251949609742505669918436086847891223<122>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1557712098
Step 1 took 115331ms
Step 2 took 42295ms
********** Factor found in step 2: 8372911731458147077844973200673413900526698479
Found prime factor of 46 digits: 8372911731458147077844973200673413900526698479
Composite cofactor 12506683815335169949052117820475890033251439719821714077139498986194384947816194875331251949609742505669918436086847891223 has 122 digits

12506683815335169949052117820475890033251439719821714077139498986194384947816194875331251949609742505669918436086847891223<122>

7125575240104986338792471960194149866937893452788474056693<58>
1755182338815764126488494239747107509335267461274128484980453211<64>

12506683815335169949052117820475890033251439719821714077139498986194384947816194875331251949609742505669918436086847891223=7125575240104986338792471960194149866937893452788474056693*1755182338815764126488494239747107509335267461274128484980453211

cado polynomial
n: 12506683815335169949052117820475890033251439719821714077139498986194384947816194875331251949609742505669918436086847891223
skew: 26605.529
c0: -1714720119337642937286285830
c1: 242135057334961275595665
c2: 6057506035859935244
c3: -781427212159903
c4: -13347795736
c5: 168960
Y0: -365432657787768294741906
Y1: 2084769151836859
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.260e-06
# f(x) = 168960*x^5-13347795736*x^4-781427212159903*x^3+6057506035859935244*x^2+242135057334961275595665*x-1714720119337642937286285830
# g(x) = 2084769151836859*x-365432657787768294741906

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: 1755182338815764126488494239747107509335267461274128484980453211 7125575240104986338792471960194149866937893452788474056693
Info:Square Root: Total cpu/real time for sqrt: 226.28/69.8646
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): 20034/36.170/43.326/47.390/1.042
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16188/34.840/38.367/43.780/0.872
Info:Polynomial Selection (size optimized): Total time: 2261.21
Info:Linear Algebra: Total cpu/real time for bwc: 5436.97/1474.62
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3310.27, WCT time 893.2, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23808 iterations)
Info:Linear Algebra: Lingen CPU time 136.61, WCT time 35.79
Info:Linear Algebra: Mksol: CPU time 1912.85,  WCT time 517.65, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12032 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 23.56/9.2319
Info:Generate Free Relations: Total cpu/real time for freerel: 127.15/35.3523
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 181.2/190.209
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 163.29999999999998s
Info:Square Root: Total cpu/real time for sqrt: 226.28/69.8646
Info:Filtering - Singleton removal: Total cpu/real time for purge: 86.66/85.8293
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 58.91/57.2942
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 56.9s
Info:Filtering - Merging: Merged matrix has 755201 rows and total weight 75541569 (100.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 55.65/18.0985
Info:Filtering - Merging: Total cpu/real time for replay: 18.06/14.7034
Info:Generate Factor Base: Total cpu/real time for makefb: 5.16/1.46382
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13775202
Info:Lattice Sieving: Average J: 1894.55 for 304938 special-q, max bucket fill -bkmult 1.0,1s:1.281590
Info:Lattice Sieving: Total time: 37166.9s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1958.74
Info:Polynomial Selection (root optimized): Rootsieve time: 1956.34
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 78091.6/21696.7
Info:root: Cleaning up computation data in /tmp/cado.pkdklain
1755182338815764126488494239747107509335267461274128484980453211 7125575240104986338792471960194149866937893452788474056693

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)

2007286249601947584289419666707622191150382532066384940576958966510250116132905907154782808552730899193676283039885776866175712866362551402480646367788435991835594338828582361186592275235564787267351928872372019092976246314140973032779088092188871<247>

4701665795792452143927656948706404187521868702139309680037682686199512618441201600221407388004704087824436052213571055492548459007985253996044449991324968130850338245983163835331712781586880132621743249687693<208>

1000959701934474298122438308905367299895538787<46>
4697157924246021957978512391005559603971864695672069432282668311918162963521923209036035366491264517845786871288691851527405318839231571103805318153070345442025039<163>

Resuming ECM residue saved by @89c709aa5b22 with GMP-ECM 7.0.5-dev on Fri Nov 11 03:43:51 2022 
Input number is 4701665795792452143927656948706404187521868702139309680037682686199512618441201600221407388004704087824436052213571055492548459007985253996044449991324968130850338245983163835331712781586880132621743249687693 (208 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:798691958
Step 1 took 0ms
Step 2 took 37394ms
********** Factor found in step 2: 1000959701934474298122438308905367299895538787
Found prime factor of 46 digits: 1000959701934474298122438308905367299895538787
Prime cofactor 4697157924246021957978512391005559603971864695672069432282668311918162963521923209036035366491264517845786871288691851527405318839231571103805318153070345442025039 has 163 digits

60449693491805396507960058056775738966166084914099564421536684972811753146836316606510855589374775056338973165419133065817042836567736819189399911054387610954287294016986314956593745768722735271662668939754069<209>

27365670351954546837183584483195829880652336730779714621447932110927184195318075813702575385033007269501543303128049471798042454395171001471300524254901441835680530384281038601664264551516644790331491021101787720154909223562180122442638377139776199447<251>

221184231836479106289754770065982282446454928830411178042756511468198956993074932029221730973198674521216299862068288979254023974501073651154839890052459466770178473620269581915880953591405396012974294464948948724899006147082116370283247964560521033763<252>

6886567995154364649250945316625776954116697<43>

32118209243285223699493375395724142499274475026824568427701617651119549667279698812785137709179978697311646259795910845602789091724179950932356109527324969203256982265685440191894111156341837147727095191785179<209>

Resuming ECM residue saved by @6c06b3b463ca with GMP-ECM 7.0.5-dev on Fri Oct 28 05:29:49 2022 
Input number is 221184231836479106289754770065982282446454928830411178042756511468198956993074932029221730973198674521216299862068288979254023974501073651154839890052459466770178473620269581915880953591405396012974294464948948724899006147082116370283247964560521033763 (252 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:2409741340
Step 1 took 1ms
Step 2 took 67179ms
********** Factor found in step 2: 6886567995154364649250945316625776954116697
Found prime factor of 43 digits: 6886567995154364649250945316625776954116697
Composite cofactor 32118209243285223699493375395724142499274475026824568427701617651119549667279698812785137709179978697311646259795910845602789091724179950932356109527324969203256982265685440191894111156341837147727095191785179 has 209 digits

441032433589033002054261395079799848439273325254921194523312028277717719781584562970543050642112472573655302106924958012663964473756763865691837177663541308348429947251839281457145990765278330172211922258450071320883911<219>

77056715030200678986949951499397540203878123284203460947825962475624259966144523809755564336825928248164097811742984485786486927576202923337649150609663957918493872321706583336459759857528549186278803064713743724506151017978359277923764500334609<245>

15153957116346216517960628413181191579690843560984338666167259778353752704412620044972933122548317664308786462552320424961295872247737397511288820046012579064877914850107<170>

333790349497570791264434093724707699672359799756159331607758620725132967286890890357527910651725413077286317543275368480032252345190353294039633312051337806616413279570164953912730600849305461254752808422946477515107806772055782691092800499018259762417<252>

569852127271852315404199676814652658684133614451659831<54>

585749062823685050999160864572632509433327486777530272935666164920010769022629157855275436447708367497983362349532970830117785688402820745178233019002579910007775743597949501451135141456921299395607<198>

Resuming ECM residue saved by @883e9dec07ff with GMP-ECM 7.0.5-dev on Fri Oct 28 11:12:47 2022 
Input number is 333790349497570791264434093724707699672359799756159331607758620725132967286890890357527910651725413077286317543275368480032252345190353294039633312051337806616413279570164953912730600849305461254752808422946477515107806772055782691092800499018259762417 (252 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:2784486266
Step 1 took 0ms
Step 2 took 94393ms
********** Factor found in step 2: 569852127271852315404199676814652658684133614451659831
Found prime factor of 54 digits: 569852127271852315404199676814652658684133614451659831
Composite cofactor 585749062823685050999160864572632509433327486777530272935666164920010769022629157855275436447708367497983362349532970830117785688402820745178233019002579910007775743597949501451135141456921299395607 has 198 digits

8087907027975246252040226108214059209272003792238436300166322065616321076748368301354885295656640174864690953223147295190733055355365702775864886666823782348592113800358800099044832980865984612334690530233697639113329319903580469288786668420092558703588153123979526023041847<274>

949667616334283000949667616334283000949667616334283000949667616334283000949667616334283000949667616334283000949667616334283000949667616334282949667616334283000949667616334283000949667616334283000949667616334283000949667616334283000949667616334283000949667616334283000949667616334283<282>

22476736399039727624616840132782223509474733633686523837055089262430161885069155987100636643979209944587422874844183810810848380997665867647725929485984452033542007600429525834474730570551268191821248647741034379474540560006568361771319799760594418546114573115003169926128867<275>

493657920013768341792239401166488880067675445442413183004914969197353180897109839990439273152940060625139547105022574039879295618736763296366548231046887746334873290432676817452324804000099435677287792849807118501126428069733157781869283118715295379<249>

512069754748282400650582984784477595522883600303127474783517940957602486704540236729222895030160916235720154622555347562550502143461776901108212784009561718764651195803239333092989297384189002328777004760860498053903732462258028023890919601354945378663736902578733767767066010768193<282>

933163704511089320818511364527535928543697187723029190237692351284612279420343957047758938571254904290805158877838585179917426926598315051793792085789629080637228926683503958307365329583749731239603115585309431376113522168773379523520537394288684696371704599554807721186210771189781<282>

512832268514052604180208643757115868245800301165878007562532330869328132803864786028684862673518721172736626321639270397634243205472453650604195901034244220880345308428352178124288284967352841370261154191585827634100125269538229927629623099565410550693136401639565789020907299772461450783<288>

8393347279107901622832791880937194654111852387978744435295533390537944941724378596086248956062070199506256949052671619245603431440104044753122086331918792532641162387481183866555246248363305880337686470558900983946764943304634844619671<235>

165308622859433049759057010628079443943232652509<48>
50773801958564618351976946092298248649350560618643019576069518022378343341651675981482633289277179341827678826887660901060400706726165470477211430151774124684608892878877986975504314358019<188>

GPU: factor 165308622859433049759057010628079443943232652509 found in Step 1 with curve 618 (-sigma 3:-469829380)

Computing 1792 Step 1 took 4727ms of CPU time / 3838302ms of GPU time

Throughput: 0.467 curves per second (on average 2141.91ms per Step 1)

********** Factor found in step 1: 165308622859433049759057010628079443943232652509

Found prime factor of 48 digits: 165308622859433049759057010628079443943232652509

Prime cofactor 50773801958564618351976946092298248649350560618643019576069518022378343341651675981482633289277179341827678826887660901060400706726165470477211430151774124684608892878877986975504314358019 has 188 digits

Peak memory usage: 9460MB

7312216849341897230439786178201682389398194839697041717966854966522854098027508610321640907165560722042805175709041686018548440156625914585804025513639334651683969344268489316717364527048619071395529027097692349012847032552579954815840887636009238044543875391769<262>

3128708961837879453780186599228133259249<40>

2337135520923149040949873825841234637439235653855413743965426756305525255596001920258298407983933932453957339837750694918602020409960766292057996212680558397598994148181747339302640282039695474489912715647319306935624557481<223>

Resuming ECM residue saved by @fd68ecbd5b30 with GMP-ECM 7.0.5-dev on Sun May 22 16:51:56 2022 
Input number is 7312216849341897230439786178201682389398194839697041717966854966522854098027508610321640907165560722042805175709041686018548440156625914585804025513639334651683969344268489316717364527048619071395529027097692349012847032552579954815840887636009238044543875391769 (262 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1217885867
Step 1 took 0ms
Step 2 took 36123ms
********** Factor found in step 2: 3128708961837879453780186599228133259249
Found prime factor of 40 digits: 3128708961837879453780186599228133259249
Composite cofactor 2337135520923149040949873825841234637439235653855413743965426756305525255596001920258298407983933932453957339837750694918602020409960766292057996212680558397598994148181747339302640282039695474489912715647319306935624557481 has 223 digits