149122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807<117>

2075399522044782958476669756238644010298337929690682839<55>
71852578471551796286377697095987774884926450530014128590758113<62>

11/21/21 03:05:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 03:07:45 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 03:10:18 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 03:12:58 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 03:15:31 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/21/21 03:15:46 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 2419719
11/21/21 03:15:46 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 03:18:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/21/21 03:18:53 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
11/21/21 03:19:44 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
11/21/21 03:19:49 v1.34.5 @ DESKTOP-RJPVCOL, prp55 = 2075399522044782958476669756238644010298337929690682839
11/21/21 03:19:49 v1.34.5 @ DESKTOP-RJPVCOL, prp62 = 71852578471551796286377697095987774884926450530014128590758113

3177051893534625470637579777759616258889441629303580950504682612268382728803579699779633251951445276985330057<109>

7580941062276822319106851617344157484597402699<46>
419084104128418778232144182766223771052828444782473661105186043<63>

N=3177051893534625470637579777759616258889441629303580950504682612268382728803579699779633251951445276985330057
  ( 109 digits)
SNFS difficulty: 125 digits.
Divisors found:
p46 factor: 7580941062276822319106851617344157484597402699
p63 factor: 419084104128418778232144182766223771052828444782473661105186043Version: 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: 3177051893534625470637579777759616258889441629303580950504682612268382728803579699779633251951445276985330057
m: 10000000000000000000000000000000
deg: 4
c4: 85
c0: -1
skew: 0.33
# Murphy_E = 2.523e-08
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 740001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 98367 x 98592
Total sieving time: 1.30 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,125.000,4,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,75000
total time: 1.36 hours.

963466301154999575297280940108448450178952474872431236253000918952365180148619135082536591877449<96>

625212938392782601230018728343243919994524176323<48>
1541021053773703763702057309727125231286130741763<49>

11/21/21 06:10:47 v1.34.5 @ DESKTOP-RJPVCOL, starting SIQS on c96: 963466301154999575297280940108448450178952474872431236253000918952365180148619135082536591877449
11/21/21 06:10:47 v1.34.5 @ DESKTOP-RJPVCOL, random seeds: 4054045242, 3994138444
11/21/21 06:10:47 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieve params ====
11/21/21 06:10:47 v1.34.5 @ DESKTOP-RJPVCOL, n = 96 digits, 319 bits
11/21/21 06:10:47 v1.34.5 @ DESKTOP-RJPVCOL, factor base: 98384 primes (max prime = 2697229)
11/21/21 06:10:47 v1.34.5 @ DESKTOP-RJPVCOL, single large prime cutoff: 350639770 (130 * pmax)
11/21/21 06:10:47 v1.34.5 @ DESKTOP-RJPVCOL, double large prime range from 43 to 52 bits
11/21/21 06:10:47 v1.34.5 @ DESKTOP-RJPVCOL, double large prime cutoff: 2402979749934961
11/21/21 06:10:47 v1.34.5 @ DESKTOP-RJPVCOL, allocating 9 large prime slices of factor base
11/21/21 06:10:47 v1.34.5 @ DESKTOP-RJPVCOL, buckets hold 2048 elements
11/21/21 06:10:47 v1.34.5 @ DESKTOP-RJPVCOL, using 32k sieve core
11/21/21 06:10:47 v1.34.5 @ DESKTOP-RJPVCOL, sieve interval: 18 blocks of size 32768
11/21/21 06:10:47 v1.34.5 @ DESKTOP-RJPVCOL, polynomial A has ~ 12 factors
11/21/21 06:10:47 v1.34.5 @ DESKTOP-RJPVCOL, using multiplier of 1
11/21/21 06:10:47 v1.34.5 @ DESKTOP-RJPVCOL, using SPV correction of 20 bits, starting at offset 26
11/21/21 06:10:47 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for trial division and x128 sieve scanning
11/21/21 06:10:47 v1.34.5 @ DESKTOP-RJPVCOL, using SSE4.1 enabled 32k sieve core
11/21/21 06:10:47 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for resieving 13-16 bit primes
11/21/21 06:10:47 v1.34.5 @ DESKTOP-RJPVCOL, trial factoring cutoff at 101 bits
11/21/21 06:10:47 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieving started (64 threads) ====
11/21/21 06:17:47 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 76472298 sieve locations out of 1504855719936
11/21/21 06:17:47 v1.34.5 @ DESKTOP-RJPVCOL, squfof: 1 failures, 1083891 attempts, 22772982 outside range, 5447802 prp, 1011613 useful
11/21/21 06:17:47 v1.34.5 @ DESKTOP-RJPVCOL, 112390 relations found: 27359 full + 85031 from 1387792 partial, using 1275682 polys (1245 A polys)
11/21/21 06:17:47 v1.34.5 @ DESKTOP-RJPVCOL, on average, sieving found 1.11 rels/poly and 3372.05 rels/sec
11/21/21 06:17:47 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 76472298 sieve locations out of 1504855719936
11/21/21 06:17:47 v1.34.5 @ DESKTOP-RJPVCOL, ==== post processing stage (msieve-1.38) ====
11/21/21 06:17:47 v1.34.5 @ DESKTOP-RJPVCOL, begin with 1415151 relations
11/21/21 06:17:47 v1.34.5 @ DESKTOP-RJPVCOL, reduce to 282237 relations in 10 passes
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL, recovered 282237 relations
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL, recovered 253110 polynomials
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL, freed 77 duplicate relations
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL, attempting to build 112313 cycles
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL, found 112313 cycles in 6 passes
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL, distribution of cycle lengths:
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL,    length 1 : 27356
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL,    length 2 : 20571
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL,    length 3 : 19822
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL,    length 4 : 15513
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL,    length 5 : 11283
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL,    length 6 : 7403
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL,    length 7 : 4700
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL,    length 9+: 5665
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL, largest cycle: 18 relations
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 98384 x 112313 (32.3 MB) with weight 7560878 (67.32/col)
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 7560878 (67.32/col)
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL, filtering completed in 4 passes
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 90041 x 90105 (22.9 MB) with weight 5288370 (58.69/col)
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 5288370 (58.69/col)
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL, saving the first 48 matrix rows for later
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 89993 x 90105 (20.0 MB) with weight 4662858 (51.75/col)
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 4346190 (48.23/col)
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL, matrix includes 64 packed rows
11/21/21 06:17:49 v1.34.5 @ DESKTOP-RJPVCOL, using block size 36042 for processor cache size 12288 kB
11/21/21 06:17:50 v1.34.5 @ DESKTOP-RJPVCOL, commencing Lanczos iteration
11/21/21 06:17:50 v1.34.5 @ DESKTOP-RJPVCOL, memory use: 16.0 MB
11/21/21 06:18:02 v1.34.5 @ DESKTOP-RJPVCOL, lanczos halted after 1426 iterations (dim = 89987)
11/21/21 06:18:02 v1.34.5 @ DESKTOP-RJPVCOL, recovered 13 nontrivial dependencies
11/21/21 06:18:02 v1.34.5 @ DESKTOP-RJPVCOL, prp49 = 1541021053773703763702057309727125231286130741763
11/21/21 06:18:02 v1.34.5 @ DESKTOP-RJPVCOL, prp48 = 625212938392782601230018728343243919994524176323
11/21/21 06:18:02 v1.34.5 @ DESKTOP-RJPVCOL, Lanczos elapsed time = 15.5360 seconds.
11/21/21 06:18:02 v1.34.5 @ DESKTOP-RJPVCOL, Sqrt elapsed time = 0.0780 seconds.
11/21/21 06:18:02 v1.34.5 @ DESKTOP-RJPVCOL, SIQS elapsed time = 435.3005 seconds.

3096765919836024422917670838556848789292039234931228115428488570565640689901154875092857436919789026446016629997314921784801<124>

826901445725354316419219134233061246079780750760961<51>
3745024193444909216609243233337573863930172678480095746162442401388841441<73>

N=3096765919836024422917670838556848789292039234931228115428488570565640689901154875092857436919789026446016629997314921784801
  ( 124 digits)
SNFS difficulty: 129 digits.
Divisors found:
p51 factor: 826901445725354316419219134233061246079780750760961
p73 factor: 3745024193444909216609243233337573863930172678480095746162442401388841441
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.67 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3096765919836024422917670838556848789292039234931228115428488570565640689901154875092857436919789026446016629997314921784801
m: 100000000000000000000000000000000
deg: 4
c4: 85
c0: -1
skew: 0.33
# Murphy_E = 1.615e-08
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor 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, 1010001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 107389 x 107614
Total sieving time: 2.61 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 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: 2.67 hours.

16063342462605422460092992551564776331005613316969929374707853339861969102878988906572311661<92>

37430206230739591831505590688700310879943<41>
429154527324334843164722570672908485687351198832427<51>

PRP51 = 429154527324334843164722570672908485687351198832427
PRP41 = 37430206230739591831505590688700310879943

yafu

633045291720364147694680040380900368530790679705330426315377033159527488860361731534071910153997318083448486011964687<117>

66630292107018411102628297065540406762656242603023358441<56>
9500863221544892248431798763657460518572175066176705916951607<61>

N=633045291720364147694680040380900368530790679705330426315377033159527488860361731534071910153997318083448486011964687
  ( 117 digits)
SNFS difficulty: 136 digits.
Divisors found:
p56 factor: 66630292107018411102628297065540406762656242603023358441
p61 factor: 9500863221544892248431798763657460518572175066176705916951607
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.36 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 633045291720364147694680040380900368530790679705330426315377033159527488860361731534071910153997318083448486011964687
m: 5000000000000000000000000000000000
deg: 4
c4: 68
c0: -5
skew: 0.52
# Murphy_E = 7.08e-09
type: snfs
lss: 1
rlim: 1330000
alim: 1330000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1330000/1330000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [665000, 1465001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 183919 x 184144
Total sieving time: 4.28 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,136.000,4,0,0,0,0,0,0,0,0,1330000,1330000,26,26,48,48,2.3,2.3,100000
total time: 4.36 hours.

288473808393589615898406541817373758937933462568721665232506732807956453538957628246966421904416005532832759<108>

54358171191284020478080085072116321332337<41>
5306907904948879452417190471617743786861756624735636379543635647207<67>

CADO

STA:Mon 22 Nov 2021 23:56:08 AEDT (288,473,808,393,589,615,898,406,541,817,373,758,937,933,462,568,721,665,232,506,732,807,956,453,538,957,628,246,966,421,904,416,005,532,832,759 - C108)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 288473808393589615898406541817373758937933462568721665232506732807956453538957628246966421904416005532832759 2>&1 | tee -a log81

Debug:root: Looking for parameter file for c108 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.c110
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.8miia2l8
Info:Database: Opened connection to database /tmp/cado.8miia2l8/c110.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 2884738083935896158984065418173737589379334625687216652325067328079564535389576282469
66421904416005532832759
Debug:root: Root parameter dictionary:
N = 288473808393589615898406541817373758937933462568721665232506732807956453538957628246966421904416005532832759
lim0 = 2910696
lim1 = 3533488
lpb0 = 25
lpb1 = 25
name = c110
...
n: 288473808393589615898406541817373758937933462568721665232506732807956453538957628246966421904416005532832759
skew: 73570.104
c0: 1076106384349935373697864225
c1: 18977894017781925219841
c2: -36530666093733053
c3: -8982116499973
c4: -53570580
c5: 660
Y0: -849334365861659926338
Y1: 113222717277809
# MurphyE (Bf=3.53e+06,Bg=2.91e+06,area=2.96e+13) = 7.51e-09
# f(x) = 660*x^5-53570580*x^4-8982116499973*x^3-36530666093733053*x^2+18977894017781925219841*x+1076106384349935373697864225
# g(x) = 113222717277809*x-849334365861659926338
...
Info:Square Root: finished
Info:Square Root: Factors: 5306907904948879452417190471617743786861756624735636379543635647207 54358171191284020478080085072116321332337
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 177.7/25.7786
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 27840.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 28267/31.160/38.016/43.100/1.020
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 28267/30.850/34.320/38.590/1.080
Info:Polynomial Selection (size optimized): Total time: 1008
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 241.93
Info:Polynomial Selection (root optimized): Rootsieve time: 241.01
Info:Generate Factor Base: Total cpu/real time for makefb: 4.39/0.404312
Info:Generate Free Relations: Total cpu/real time for freerel: 36.23/2.39669
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3549032
Info:Lattice Sieving: Average J: 1933.39 for 60718 special-q, max bucket fill: 0.744806
Info:Lattice Sieving: Total CPU time: 16378.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 8.38/8.58257
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 40.65/12.6476
Info:Filtering - Singleton removal: Total cpu/real time for purge: 22.91/10.9912
Info:Filtering - Merging: Total cpu/real time for merge: 113.43/96.4307
Info:Filtering - Merging: Total cpu/real time for replay: 10.92/8.64885
Info:Linear Algebra: Total cpu/real time for bwc: 1944.96/0.000339746
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 96.73
Info:Linear Algebra: Lingen CPU time 80.53, WCT time 7.76
Info:Linear Algebra: Mksol: WCT time 49.48
Info:Quadratic Characters: Total cpu/real time for characters: 10.14/2.32132
Info:Square Root: Total cpu/real time for sqrt: 177.7/25.7786
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 19998.3/1593.39
Info:root: Cleaning up computation data in /tmp/cado.8miia2l8
5306907904948879452417190471617743786861756624735636379543635647207 54358171191284020478080085072116321332337

END:Tue 23 Nov 2021 00:22:42 AEDT (288,473,808,393,589,615,898,406,541,817,373,758,937,933,462,568,721,665,232,506,732,807,956,453,538,957,628,246,966,421,904,416,005,532,832,759 - C108)

20079627028497193874797699310908227215177106377299449730515288757846266449145148494267226239115638910275297744669511057<119>

30275939548044403567040752144868697124967249<44>
663220607790987141459622121355666631463140448854497786872270925593197168193<75>

CADO

STA:Tue 23 Nov 2021 03:39:06 AEDT (20,079,627,028,497,193,874,797,699,310,908,227,215,177,106,377,299,449,730,515,288,757,846,266,449,145,148,494,267,226,239,115,638,910,275,297,744,669,511,057 - C119)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 20079627028497193874797699310908227215177106377299449730515288757846266449145148494267226239115638910275297744669511057 2>&1 | tee -a log84

Debug:root: Looking for parameter file for c119 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.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.1ovooscc
Info:Database: Opened connection to database /tmp/cado.1ovooscc/c120.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 2007962702849719387479769931090822721517710637729944973051528875784626644914514849426
7226239115638910275297744669511057
Debug:root: Root parameter dictionary:
N = 20079627028497193874797699310908227215177106377299449730515288757846266449145148494267226239115638910275297744669511057
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 20079627028497193874797699310908227215177106377299449730515288757846266449145148494267226239115638910275297744669511057
skew: 16524.595
c0: -166866943107380666106565035
c1: -11762109568533258260736
c2: 1569755070359746264
c3: 69624702795686
c4: -2588606487
c5: 128700
Y0: -55552812760034237819078
Y1: 415340159359122983
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.99e-09
# f(x) = 128700*x^5-2588606487*x^4+69624702795686*x^3+1569755070359746264*x^2-11762109568533258260736*x-166866943107380666106565035
# g(x) = 415340159359122983*x-55552812760034237819078
...
Info:Square Root: finished
Info:Square Root: Factors: 663220607790987141459622121355666631463140448854497786872270925593197168193 30275939548044403567040752144868697124967249
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10429/35.410/42.213/47.810/1.052
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10429/33.410/37.514/42.680/1.083
Info:Polynomial Selection (size optimized): Total time: 1163.2
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 269.83
Info:Polynomial Selection (root optimized): Rootsieve time: 268.94
Info:Generate Factor Base: Total cpu/real time for makefb: 24.06/2.21448
Info:Generate Free Relations: Total cpu/real time for freerel: 149.11/10.0756
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 10072613
Info:Lattice Sieving: Average J: 7704.44 for 19380 special-q, max bucket fill: 0.65327
Info:Lattice Sieving: Total CPU time: 57113.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 25.09/32.0835
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 31.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 164.34/61.7697
Info:Filtering - Singleton removal: Total cpu/real time for purge: 93.85/48.2458
Info:Filtering - Merging: Total cpu/real time for merge: 439.12/355.948
Info:Filtering - Merging: Total cpu/real time for replay: 34.32/26.4312
Info:Linear Algebra: Total cpu/real time for bwc: 18489.2/0.000315189
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 764.93
Info:Linear Algebra: Lingen CPU time 201.54, WCT time 20.06
Info:Linear Algebra: Mksol: WCT time 428.72
Info:Quadratic Characters: Total cpu/real time for characters: 34.13/8.08832
Info:Square Root: Total cpu/real time for sqrt: 822.85/116.568
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 78823/5902.99
Info:root: Cleaning up computation data in /tmp/cado.1ovooscc
663220607790987141459622121355666631463140448854497786872270925593197168193 30275939548044403567040752144868697124967249

END:Tue 23 Nov 2021 05:17:30 AEDT (20,079,627,028,497,193,874,797,699,310,908,227,215,177,106,377,299,449,730,515,288,757,846,266,449,145,148,494,267,226,239,115,638,910,275,297,744,669,511,057 - C119)

1184161593619018724427486338826701206062127003728248914428677712672701960201081248841086109171402600045312012906723<115>

2327984356803570483574556147185896507370466964811<49>
508663896369530170178216208332147583776905555695618727772499176393<66>

CADO

STA:Tue 23 Nov 2021 00:29:52 AEDT (1,184,161,593,619,018,724,427,486,338,826,701,206,062,127,003,728,248,914,428,677,712,672,701,960,201,081,248,841,086,109,171,402,600,045,312,012,906,723 - C115)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1184161593619018724427486338826701206062127003728248914428677712672701960201081248841086109171402600045312012906723 2>&1 | tee -a log82

Debug:root: Looking for parameter file for c115 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.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.h33hzcog
Info:Database: Opened connection to database /tmp/cado.h33hzcog/c115.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 1184161593619018724427486338826701206062127003728248914428677712672701960201081248841
086109171402600045312012906723
Debug:root: Root parameter dictionary:
N = 1184161593619018724427486338826701206062127003728248914428677712672701960201081248841086109171402600045312012906723
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 1184161593619018724427486338826701206062127003728248914428677712672701960201081248841086109171402600045312012906723
skew: 846756.207
c0: -82352136551868255509525818770
c1: -1347202422120655065155077
c2: -3862695788605706557
c3: 3615151517442
c4: 942480
Y0: -1656155310577067155655861676
Y1: 882072535499594309
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 2.18e-09
# f(x) = 942480*x^4+3615151517442*x^3-3862695788605706557*x^2-1347202422120655065155077*x-82352136551868255509525818770
# g(x) = 882072535499594309*x-1656155310577067155655861676
...
Info:Square Root: finished
Info:Square Root: Factors: 2327984356803570483574556147185896507370466964811 508663896369530170178216208332147583776905555695618727772499176393
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 306.4/44.2753
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56152/37.570/43.580/48.330/0.628
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56152/37.290/42.780/44.500/1.011
Info:Polynomial Selection (size optimized): Total time: 1113.16
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 142.36
Info:Polynomial Selection (root optimized): Rootsieve time: 141.73
Info:Generate Factor Base: Total cpu/real time for makefb: 2.68/0.2857
Info:Generate Free Relations: Total cpu/real time for freerel: 53.59/3.54402
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6777994
Info:Lattice Sieving: Average J: 4094.84 for 82113 special-q, max bucket fill: 0.733397
Info:Lattice Sieving: Total CPU time: 67896.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.15/20.2878
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 91.47/28.018
Info:Filtering - Singleton removal: Total cpu/real time for purge: 74.77/29.3752
Info:Filtering - Merging: Total cpu/real time for merge: 146/117.344
Info:Filtering - Merging: Total cpu/real time for replay: 15.17/11.7688
Info:Linear Algebra: Total cpu/real time for bwc: 4259.41/0.000210524
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 175.96
Info:Linear Algebra: Lingen CPU time 100.74, WCT time 10.21
Info:Linear Algebra: Mksol: WCT time 107.01
Info:Quadratic Characters: Total cpu/real time for characters: 14.94/3.53861
Info:Square Root: Total cpu/real time for sqrt: 306.4/44.2753
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 74133.8/5123.77
Info:root: Cleaning up computation data in /tmp/cado.h33hzcog
2327984356803570483574556147185896507370466964811 508663896369530170178216208332147583776905555695618727772499176393

END:Tue 23 Nov 2021 01:55:16 AEDT (1,184,161,593,619,018,724,427,486,338,826,701,206,062,127,003,728,248,914,428,677,712,672,701,960,201,081,248,841,086,109,171,402,600,045,312,012,906,723 - C115)

1315391026953972319598420344135167102475620342382221222387879506444021161270421298017889972854865362897962732806515101529345313211<130>

136690943982661663391892847718623904878979816269<48>
9623102954946458763542906267664703854520166764076927655086321493063233546534298919<82>

P82 = 9623102954946458763542906267664703854520166764076927655086321493063233546534298919
P48 = 136690943982661663391892847718623904878979816269

YAFU

Ubuntu 20

283333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<147>

607003918133049773670352223512101684461474049239<48>
466773483447645929371582973110976766551318497305980654134303922584722199366217895940432233039936947<99>

P99 = 466773483447645929371582973110976766551318497305980654134303922584722199366217895940432233039936947
P48 = 607003918133049773670352223512101684461474049239

YAFU

Ubuntu 20

241468121132710507006399827923740133767067876392116762136070180501345966609581672202933518422372439880837374032412136023<120>

2900489481033466813318310610386689277225638400088346379437<58>
83250817736692342595194277640139207484946939205045854218866579<62>

CADO

STA:Tue 23 Nov 2021 06:28:12 AEDT (241,468,121,132,710,507,006,399,827,923,740,133,767,067,876,392,116,762,136,070,180,501,345,966,609,581,672,202,933,518,422,372,439,880,837,374,032,412,136,023 - C120)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 241468121132710507006399827923740133767067876392116762136070180501345966609581672202933518422372439880837374032412136023 2>&1 | tee -a log85

Debug:root: Looking for parameter file for c120 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.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.3bwi94ri
Info:Database: Opened connection to database /tmp/cado.3bwi94ri/c120.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 2414681211327105070063998279237401337670678763921167621360701805013459666095816722029
33518422372439880837374032412136023
Debug:root: Root parameter dictionary:
N = 241468121132710507006399827923740133767067876392116762136070180501345966609581672202933518422372439880837374032412136023
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 241468121132710507006399827923740133767067876392116762136070180501345966609581672202933518422372439880837374032412136023
skew: 17165.041
c0: -174764396313559019600588605
c1: -32869782002621953707696
c2: 2165555158772632343
c3: 40416529052610
c4: 6624759596
c5: 34920
Y0: 44465405260647799474554
Y1: 3048924111955331033
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.81e-09
# f(x) = 34920*x^5+6624759596*x^4+40416529052610*x^3+2165555158772632343*x^2-32869782002621953707696*x-174764396313559019600588605
# g(x) = 3048924111955331033*x+44465405260647799474554
...
Info:Square Root: finished
Info:Square Root: Factors: 2900489481033466813318310610386689277225638400088346379437 83250817736692342595194277640139207484946939205045854218866579
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10364/35.640/42.665/48.170/1.058
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10364/34.360/37.903/43.150/1.087
Info:Polynomial Selection (size optimized): Total time: 1153.34
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 382.16
Info:Polynomial Selection (root optimized): Rootsieve time: 381.35
Info:Generate Factor Base: Total cpu/real time for makefb: 23.5/2.1273
Info:Generate Free Relations: Total cpu/real time for freerel: 149/9.87646
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 10112947
Info:Lattice Sieving: Average J: 7666.16 for 20010 special-q, max bucket fill: 0.650291
Info:Lattice Sieving: Total CPU time: 57863.4s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 25.21/31.2183
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 31.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 162.44/60.2749
Info:Filtering - Singleton removal: Total cpu/real time for purge: 94.66/48.1305
Info:Filtering - Merging: Total cpu/real time for merge: 447.58/365.94
Info:Filtering - Merging: Total cpu/real time for replay: 35.3/26.8207
Info:Linear Algebra: Total cpu/real time for bwc: 17263.3/0.000325918
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 743.33
Info:Linear Algebra: Lingen CPU time 194.11, WCT time 19.42
Info:Linear Algebra: Mksol: WCT time 392.67
Info:Quadratic Characters: Total cpu/real time for characters: 33.95/8.07701
Info:Square Root: Total cpu/real time for sqrt: 816.74/115.775
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 78450.5/5803.25
Info:root: Cleaning up computation data in /tmp/cado.3bwi94ri
2900489481033466813318310610386689277225638400088346379437 83250817736692342595194277640139207484946939205045854218866579

END:Tue 23 Nov 2021 08:04:56 AEDT (241,468,121,132,710,507,006,399,827,923,740,133,767,067,876,392,116,762,136,070,180,501,345,966,609,581,672,202,933,518,422,372,439,880,837,374,032,412,136,023 - C120)

51894768722318759756726565144505954850889481934827415385264586013121136852818840712638776195460497145866183316464003005123370129831<131>

197624476231154544612946113010832698996481374497808429<54>
262592821051271178515312679622388594246710705203248019963702726326994477035939<78>

P17 = 28585166287295773
P78 = 262592821051271178515312679622388594246710705203248019963702726326994477035939
P54 = 197624476231154544612946113010832698996481374497808429

16951074409043985477373104273956765620928486780420225416222050660169369041406340925091464931724668700604240564795971203<119>

15025305399577843061696912058681268983663246341<47>
1128168377164583262671470764053016228961072595977144162272173120367498983<73>

CADO

STA:Tue 23 Nov 2021 08:09:56 AEDT (16,951,074,409,043,985,477,373,104,273,956,765,620,928,486,780,420,225,416,222,050,660,169,369,041,406,340,925,091,464,931,724,668,700,604,240,564,795,971,203 - C119)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 16951074409043985477373104273956765620928486780420225416222050660169369041406340925091464931724668700604240564795971203 2>&1 | tee -a log86

Debug:root: Looking for parameter file for c119 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.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.7jf6zrsc
Info:Database: Opened connection to database /tmp/cado.7jf6zrsc/c120.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 1695107440904398547737310427395676562092848678042022541622205066016936904140634092509
1464931724668700604240564795971203
Debug:root: Root parameter dictionary:
N = 16951074409043985477373104273956765620928486780420225416222050660169369041406340925091464931724668700604240564795971203
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 16951074409043985477373104273956765620928486780420225416222050660169369041406340925091464931724668700604240564795971203
skew: 13150.668
c0: 48713537603467109893844780
c1: -41938840834577294597491
c2: -9226649975801563802
c3: 526887403103293
c4: 18107766600
c5: -669600
Y0: -78843974669165825556988
Y1: 8550188680655713
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 2.05e-09
# f(x) = -669600*x^5+18107766600*x^4+526887403103293*x^3-9226649975801563802*x^2-41938840834577294597491*x+48713537603467109893844780
# g(x) = 8550188680655713*x-78843974669165825556988
...
Info:Square Root: finished
Info:Square Root: Factors: 15025305399577843061696912058681268983663246341 1128168377164583262671470764053016228961072595977144162272173120367498983
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 869.17/121.904
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10488/35.620/42.213/46.880/1.070
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10488/34.050/37.459/42.760/1.041
Info:Polynomial Selection (size optimized): Total time: 1156.31
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 277.33
Info:Polynomial Selection (root optimized): Rootsieve time: 276.42
Info:Generate Factor Base: Total cpu/real time for makefb: 24.11/2.23871
Info:Generate Free Relations: Total cpu/real time for freerel: 147.69/9.91588
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 9941550
Info:Lattice Sieving: Average J: 7690.7 for 18162 special-q, max bucket fill: 0.614172
Info:Lattice Sieving: Total CPU time: 54267.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 24.71/30.5178
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 144.46/45.2042
Info:Filtering - Singleton removal: Total cpu/real time for purge: 62.4/31.5933
Info:Filtering - Merging: Total cpu/real time for merge: 438.86/357.297
Info:Filtering - Merging: Total cpu/real time for replay: 34.21/26.2988
Info:Linear Algebra: Total cpu/real time for bwc: 18004.9/0.00033474
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 878.75
Info:Linear Algebra: Lingen CPU time 338.0, WCT time 31.85
Info:Linear Algebra: Mksol: WCT time 486.13
Info:Quadratic Characters: Total cpu/real time for characters: 34.19/8.09902
Info:Square Root: Total cpu/real time for sqrt: 869.17/121.904
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 75485.9/5835.25
Info:root: Cleaning up computation data in /tmp/cado.7jf6zrsc
15025305399577843061696912058681268983663246341 1128168377164583262671470764053016228961072595977144162272173120367498983

END:Tue 23 Nov 2021 09:47:12 AEDT (16,951,074,409,043,985,477,373,104,273,956,765,620,928,486,780,420,225,416,222,050,660,169,369,041,406,340,925,091,464,931,724,668,700,604,240,564,795,971,203 - C119)

3418254525400389925379121829684014754270422092317571183575141930286579977261982259252318069100612357427641813465621<115>

23181392723082712204133105145076693153424218190910621751<56>
147456823075029763669136075432916570901727445980338309796371<60>

CADO

STA:Tue 23 Nov 2021 02:04:07 AEDT (3,418,254,525,400,389,925,379,121,829,684,014,754,270,422,092,317,571,183,575,141,930,286,579,977,261,982,259,252,318,069,100,612,357,427,641,813,465,621 - C115)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 3418254525400389925379121829684014754270422092317571183575141930286579977261982259252318069100612357427641813465621 2>&1 | tee -a log83

Debug:root: Looking for parameter file for c115 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.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.9l8t2bfb
Info:Database: Opened connection to database /tmp/cado.9l8t2bfb/c115.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 3418254525400389925379121829684014754270422092317571183575141930286579977261982259252
318069100612357427641813465621
Debug:root: Root parameter dictionary:
N = 3418254525400389925379121829684014754270422092317571183575141930286579977261982259252318069100612357427641813465621
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 3418254525400389925379121829684014754270422092317571183575141930286579977261982259252318069100612357427641813465621
skew: 565871.371
c0: -3875931767307237317935096699
c1: 107703482553974874371290
c2: -483436190577525279
c3: -649851638052
c4: 264720
Y0: -1896556895438247301150122472
Y1: 1502359386161222759
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 2.2e-09
# f(x) = 264720*x^4-649851638052*x^3-483436190577525279*x^2+107703482553974874371290*x-3875931767307237317935096699
# g(x) = 1502359386161222759*x-1896556895438247301150122472
...
Info:Square Root: finished
Info:Square Root: Factors: 147456823075029763669136075432916570901727445980338309796371 23181392723082712204133105145076693153424218190910621751
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 291.62/41.9924
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56446/38.140/43.753/48.940/0.634
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56446/37.990/42.966/45.360/1.004
Info:Polynomial Selection (size optimized): Total time: 1117.04
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 146.91
Info:Polynomial Selection (root optimized): Rootsieve time: 146.3
Info:Generate Factor Base: Total cpu/real time for makefb: 2.75/0.295342
Info:Generate Free Relations: Total cpu/real time for freerel: 53.09/3.40936
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6781992
Info:Lattice Sieving: Average J: 4036.28 for 79597 special-q, max bucket fill: 0.71604
Info:Lattice Sieving: Total CPU time: 65220.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.32/18.6823
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 88.36/27.612
Info:Filtering - Singleton removal: Total cpu/real time for purge: 77.64/29.9508
Info:Filtering - Merging: Total cpu/real time for merge: 138.09/109.404
Info:Filtering - Merging: Total cpu/real time for replay: 14.7/11.37
Info:Linear Algebra: Total cpu/real time for bwc: 4171.87/0.000328541
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 166.76
Info:Linear Algebra: Lingen CPU time 87.47, WCT time 8.96
Info:Linear Algebra: Mksol: WCT time 99.76
Info:Quadratic Characters: Total cpu/real time for characters: 14.63/3.36063
Info:Square Root: Total cpu/real time for sqrt: 291.62/41.9924
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 71353.7/4925.69
Info:root: Cleaning up computation data in /tmp/cado.9l8t2bfb
147456823075029763669136075432916570901727445980338309796371 23181392723082712204133105145076693153424218190910621751

END:Tue 23 Nov 2021 03:26:14 AEDT (3,418,254,525,400,389,925,379,121,829,684,014,754,270,422,092,317,571,183,575,141,930,286,579,977,261,982,259,252,318,069,100,612,357,427,641,813,465,621 - C115)

49249258899683446015719643678851661160904344755389579890665810205874223473552217536691556359595079141111954325388753256523925931742094357921<140>

2141046647814993678948152093269965898876432225843649526863881515963169<70>
23002422179798783869600978746439604440352174558154537194072136052052609<71>

P71 = 23002422179798783869600978746439604440352174558154537194072136052052609
P70 = 2141046647814993678948152093269965898876432225843649526863881515963169

6864254589984638125586953007008555928881554641982061114819470144174057360011144462019942161123243694271113374281828853885301575631384379019<139>

101959148372249770685017604957259656560956529<45>
67323577134279819361144480812072728966686729067703406415042592469715355644790768584603582746811<95>

P95 = 67323577134279819361144480812072728966686729067703406415042592469715355644790768584603582746811
P45 = 101959148372249770685017604957259656560956529

125922846975308934003942576482346797853868226391547969524571938260533169226320747764277645807612769535609<105>

125241352565465405128741574175054944087636579<45>
1005441448817692241257642661447782407840422982371462406931571<61>

Sun Nov 21 22:49:11 2021  Msieve v. 1.53 (SVN 1005)
Sun Nov 21 22:49:11 2021  random seeds: 4029f4e0 b1e4d47b
Sun Nov 21 22:49:11 2021  factoring 125922846975308934003942576482346797853868226391547969524571938260533169226320747764277645807612769535609 (105 digits)
Sun Nov 21 22:49:11 2021  searching for 15-digit factors
Sun Nov 21 22:49:11 2021  commencing quadratic sieve (105-digit input)
Sun Nov 21 22:49:11 2021  using multiplier of 1
Sun Nov 21 22:49:11 2021  using generic 32kb sieve core
Sun Nov 21 22:49:11 2021  sieve interval: 36 blocks of size 32768
Sun Nov 21 22:49:11 2021  processing polynomials in batches of 6
Sun Nov 21 22:49:11 2021  using a sieve bound of 3794137 (135000 primes)
Sun Nov 21 22:49:11 2021  using large prime bound of 569120550 (29 bits)
Sun Nov 21 22:49:11 2021  using double large prime bound of 5746027175219850 (44-53 bits)
Sun Nov 21 22:49:11 2021  using trial factoring cutoff of 53 bits
Sun Nov 21 22:49:11 2021  polynomial 'A' values have 14 factors
Mon Nov 22 10:13:07 2021  135383 relations (32471 full + 102912 combined from 2004195 partial), need 135096
Mon Nov 22 10:13:09 2021  begin with 2036666 relations
Mon Nov 22 10:13:10 2021  reduce to 355185 relations in 12 passes
Mon Nov 22 10:13:10 2021  attempting to read 355185 relations
Mon Nov 22 10:13:14 2021  recovered 355185 relations
Mon Nov 22 10:13:14 2021  recovered 346634 polynomials
Mon Nov 22 10:13:14 2021  attempting to build 135383 cycles
Mon Nov 22 10:13:14 2021  found 135383 cycles in 5 passes
Mon Nov 22 10:13:14 2021  distribution of cycle lengths:
Mon Nov 22 10:13:14 2021     length 1 : 32471
Mon Nov 22 10:13:14 2021     length 2 : 23443
Mon Nov 22 10:13:14 2021     length 3 : 22586
Mon Nov 22 10:13:14 2021     length 4 : 18315
Mon Nov 22 10:13:14 2021     length 5 : 14186
Mon Nov 22 10:13:14 2021     length 6 : 9594
Mon Nov 22 10:13:14 2021     length 7 : 6162
Mon Nov 22 10:13:14 2021     length 9+: 8626
Mon Nov 22 10:13:14 2021  largest cycle: 22 relations
Mon Nov 22 10:13:15 2021  matrix is 135000 x 135383 (40.2 MB) with weight 9448016 (69.79/col)
Mon Nov 22 10:13:15 2021  sparse part has weight 9448016 (69.79/col)
Mon Nov 22 10:13:16 2021  filtering completed in 3 passes
Mon Nov 22 10:13:16 2021  matrix is 129682 x 129745 (38.7 MB) with weight 9093991 (70.09/col)
Mon Nov 22 10:13:16 2021  sparse part has weight 9093991 (70.09/col)
Mon Nov 22 10:13:16 2021  saving the first 48 matrix rows for later
Mon Nov 22 10:13:16 2021  matrix includes 64 packed rows
Mon Nov 22 10:13:16 2021  matrix is 129634 x 129745 (24.7 MB) with weight 7189515 (55.41/col)
Mon Nov 22 10:13:16 2021  sparse part has weight 5183475 (39.95/col)
Mon Nov 22 10:13:16 2021  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Mon Nov 22 10:13:17 2021  commencing Lanczos iteration
Mon Nov 22 10:13:17 2021  memory use: 16.2 MB
Mon Nov 22 10:13:22 2021  linear algebra at 9.4%, ETA 0h 0m
Mon Nov 22 10:14:11 2021  lanczos halted after 2051 iterations (dim = 129631)
Mon Nov 22 10:14:11 2021  recovered 14 nontrivial dependencies
Mon Nov 22 10:14:13 2021  p45 factor: 125241352565465405128741574175054944087636579
Mon Nov 22 10:14:13 2021  p61 factor: 1005441448817692241257642661447782407840422982371462406931571
Mon Nov 22 10:14:13 2021  elapsed time 11:25:02

Msieve v. 1.53 (SVN 1005)

Windows 10 Business Version 21H1
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz

10015121140014768564350071798279593786417612441235948037697003268056011269664567796804659187688520855094461303382225157572969209857<131>

22365723887380423256775004261873908053077<41>
447788821432498948141614412266901496367874867616855192356038929606560398953295700918438141<90>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 10015121140014768564350071798279593786417612441235948037697003268056011269664567796804659187688520855094461303382225157572969209857 (131 digits)
Using B1=40100000, B2=192393771586, polynomial Dickson(12), sigma=1:1528883426
Step 1 took 62831ms
Step 2 took 23999ms
********** Factor found in step 2: 22365723887380423256775004261873908053077
Found prime factor of 41 digits: 22365723887380423256775004261873908053077
Prime cofactor 447788821432498948141614412266901496367874867616855192356038929606560398953295700918438141 has 90 digits

116446001897207582529258860492285125709025851902753611059735705887797915932449794307309483673414929888145152978276598730796473532674715047992379215791<150>

3614390043048103956522736030431246767240032663071869195405888407<64>
32217331419772783338027675353225623358381834294883392623257814052615974917254400409513<86>

116446001897207582529258860492285125709025851902753611059735705887797915932449794307309483673414929888145152978276598730796473532674715047992379215791=3614390043048103956522736030431246767240032663071869195405888407*32217331419772783338027675353225623358381834294883392623257814052615974917254400409513

cado polynomial
n: 116446001897207582529258860492285125709025851902753611059735705887797915932449794307309483673414929888145152978276598730796473532674715047992379215791
skew: 0.16
type: snfs
c0: -1
c5: 8500
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 8500*x^5-1
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3100000
tasks.lim1 = 3100000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3614390043048103956522736030431246767240032663071869195405888407 32217331419772783338027675353225623358381834294883392623257814052615974917254400409513
Info:Square Root: Total cpu/real time for sqrt: 118.3/35.9985
Info:Filtering - Singleton removal: Total cpu/real time for purge: 86.41/76.7622
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11618810
Info:Lattice Sieving: Average J: 1897.79 for 229556 special-q, max bucket fill -bkmult 1.0,1s:1.236920
Info:Lattice Sieving: Total time: 28213.6s
Info:Linear Algebra: Total cpu/real time for bwc: 1553.69/401.37
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 955.8, WCT time 244.63, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10240 iterations)
Info:Linear Algebra: Lingen CPU time 50.06, WCT time 12.77
Info:Linear Algebra: Mksol: CPU time 518.21,  WCT time 132.07, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5120 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.34/0.730059
Info:Generate Free Relations: Total cpu/real time for freerel: 60.36/17.1696
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.6/47.1176
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.45/85.3309
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.6s
Info:Filtering - Merging: Merged matrix has 324731 rows and total weight 55371772 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 65.71/18.3192
Info:Filtering - Merging: Total cpu/real time for replay: 10.02/8.33623
Info:Quadratic Characters: Total cpu/real time for characters: 10.13/3.99417
Info:Square Root: Total cpu/real time for sqrt: 118.3/35.9985
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 53622.8/14968.1
Info:root: Cleaning up computation data in /tmp/cado.1u3nu51b
3614390043048103956522736030431246767240032663071869195405888407 32217331419772783338027675353225623358381834294883392623257814052615974917254400409513

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

210664993977431527812774310091997703807128287398223745406972826938882269441314584140977147302911237556918463196356207838022110363501976036799<141>

534675972139102200942580287317213069732942823165830208891577<60>
394004976761186059737435013019845328532653584862149338796044634530786007747704887<81>

210664993977431527812774310091997703807128287398223745406972826938882269441314584140977147302911237556918463196356207838022110363501976036799=534675972139102200942580287317213069732942823165830208891577*394004976761186059737435013019845328532653584862149338796044634530786007747704887

cado polynomial
n: 210664993977431527812774310091997703807128287398223745406972826938882269441314584140977147302911237556918463196356207838022110363501976036799
skew: 0.41
type: snfs
c0: -1
c5: 85
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 85*x^5-1
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3500000
tasks.lim1 = 3500000
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: 394004976761186059737435013019845328532653584862149338796044634530786007747704887 534675972139102200942580287317213069732942823165830208891577
Info:Square Root: Total cpu/real time for sqrt: 137.05/43.1982
Info:Filtering - Singleton removal: Total cpu/real time for purge: 74.65/70.7086
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11640039
Info:Lattice Sieving: Average J: 1893.94 for 223363 special-q, max bucket fill -bkmult 1.0,1s:1.250800
Info:Lattice Sieving: Total time: 28234.1s
Info:Linear Algebra: Total cpu/real time for bwc: 2215.28/572.04
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1365.95, WCT time 349.49, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Linear Algebra: Lingen CPU time 63.81, WCT time 16.27
Info:Linear Algebra: Mksol: CPU time 750.0,  WCT time 191.66, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6272 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.51/0.851544
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.71/47.9722
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 101.57/85.9245
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.9s
Info:Filtering - Merging: Merged matrix has 399854 rows and total weight 68148271 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 82.83/23.1926
Info:Filtering - Merging: Total cpu/real time for replay: 12.77/10.688
Info:Quadratic Characters: Total cpu/real time for characters: 13.13/5.14013
Info:Square Root: Total cpu/real time for sqrt: 137.05/43.1982
Info:Generate Free Relations: Total cpu/real time for freerel: 59.17/16.7233
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 54470/15159
Info:root: Cleaning up computation data in /tmp/cado.2c82vczs
394004976761186059737435013019845328532653584862149338796044634530786007747704887 534675972139102200942580287317213069732942823165830208891577

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

397136877040776455244119405304793494422073384840798311264078665389928089020979744296428199911395238247787443309428497571<120>

1145444513367801942575203830403416945361477<43>
346709833960552487105503140702387736473773605835855297962446922379439008826823<78>

CADO

STA:Tue 23 Nov 2021 09:51:55 AEDT (397,136,877,040,776,455,244,119,405,304,793,494,422,073,384,840,798,311,264,078,665,389,928,089,020,979,744,296,428,199,911,395,238,247,787,443,309,428,497,571 - C120)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 397136877040776455244119405304793494422073384840798311264078665389928089020979744296428199911395238247787443309428497571 2>&1 | tee -a log87

Debug:root: Looking for parameter file for c120 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.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.2n1cgav8
Info:Database: Opened connection to database /tmp/cado.2n1cgav8/c120.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 3971368770407764552441194053047934944220733848407983112640786653899280890209797442964
28199911395238247787443309428497571
Debug:root: Root parameter dictionary:
N = 397136877040776455244119405304793494422073384840798311264078665389928089020979744296428199911395238247787443309428497571
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 397136877040776455244119405304793494422073384840798311264078665389928089020979744296428199911395238247787443309428497571
skew: 10299.144
c0: -4028272585028010148162845
c1: -78999041452961730160783
c2: 1896431006160771609
c3: 1368991615787827
c4: -5161704696
c5: 102960
Y0: -45204543235702443851848
Y1: 3689337419924450587
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.85e-09
# f(x) = 102960*x^5-5161704696*x^4+1368991615787827*x^3+1896431006160771609*x^2-78999041452961730160783*x-4028272585028010148162845
# g(x) = 3689337419924450587*x-45204543235702443851848
...
Info:Square Root: finished
Info:Square Root: Factors: 1145444513367801942575203830403416945361477 346709833960552487105503140702387736473773605835855297962446922379439008826823
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 875.21/124.453
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10448/34.910/42.724/47.660/1.051
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10448/34.150/37.994/43.220/1.117
Info:Polynomial Selection (size optimized): Total time: 1139.38
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 299.26
Info:Polynomial Selection (root optimized): Rootsieve time: 298.37
Info:Generate Factor Base: Total cpu/real time for makefb: 23.5/2.12828
Info:Generate Free Relations: Total cpu/real time for freerel: 147.04/9.4318
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 9917020
Info:Lattice Sieving: Average J: 7612.48 for 18883 special-q, max bucket fill: 0.611483
Info:Lattice Sieving: Total CPU time: 55632.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 25.1/31.1537
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 31.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 145.55/45.0653
Info:Filtering - Singleton removal: Total cpu/real time for purge: 62.28/31.1349
Info:Filtering - Merging: Total cpu/real time for merge: 439.66/354.425
Info:Filtering - Merging: Total cpu/real time for replay: 35.1/27.0742
Info:Linear Algebra: Total cpu/real time for bwc: 18880/0.000324965
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 778.79
Info:Linear Algebra: Lingen CPU time 207.16, WCT time 20.6
Info:Linear Algebra: Mksol: WCT time 437.7
Info:Quadratic Characters: Total cpu/real time for characters: 34.94/8.35389
Info:Square Root: Total cpu/real time for sqrt: 875.21/124.453
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 77739.5/5737.52
Info:root: Cleaning up computation data in /tmp/cado.2n1cgav8
1145444513367801942575203830403416945361477 346709833960552487105503140702387736473773605835855297962446922379439008826823

END:Tue 23 Nov 2021 11:27:34 AEDT (397,136,877,040,776,455,244,119,405,304,793,494,422,073,384,840,798,311,264,078,665,389,928,089,020,979,744,296,428,199,911,395,238,247,787,443,309,428,497,571 - C120)

4047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619<169>

1218460840241372842558050940077385097323400958127414263346259809281060016968433<79>
3321911475478545870612594573870150369379696592142316528496367619294752149238241599942285043<91>

11/21/21 15:21:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 15:26:24 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 15:31:18 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 15:36:13 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 15:41:04 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 15:45:58 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 15:50:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 15:55:45 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 16:00:46 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 16:05:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 16:10:35 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 16:15:58 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 16:21:35 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 16:27:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 16:32:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 16:37:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 16:43:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 16:48:51 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 16:54:23 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 16:59:27 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 17:04:31 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 17:09:26 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 17:14:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 17:19:24 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 17:24:17 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 17:29:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 17:33:57 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 17:38:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 17:43:39 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 17:48:34 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 17:53:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 17:58:27 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 18:03:23 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 18:08:17 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 18:13:25 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 18:19:07 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 18:24:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 18:30:14 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 18:35:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 18:40:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 18:46:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 18:51:52 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/21/21 18:53:14 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 10720761
11/21/21 18:53:14 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 18:58:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 19:04:35 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 19:10:24 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/21/21 19:11:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 11276793
11/21/21 19:11:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 19:17:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 19:22:24 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 19:27:21 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 19:32:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/21/21 19:34:15 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
11/21/21 19:55:42 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
11/21/21 20:09:01 v1.34.5 @ DESKTOP-RJPVCOL, prp91 = 3321911475478545870612594573870150369379696592142316528496367619294752149238241599942285043
11/21/21 20:09:01 v1.34.5 @ DESKTOP-RJPVCOL, prp79 = 1218460840241372842558050940077385097323400958127414263346259809281060016968433

555737690624319132592849448982809679223327776921878252315833787750791372112750169703786027864772803946005993363670004032342351844022501338819730493177<150>

90001360899808588008303297970210411641687430692371295943<56>
6174769859791098532044317439778907716324059106295733031224262844316204058977874112868395979839<94>

555737690624319132592849448982809679223327776921878252315833787750791372112750169703786027864772803946005993363670004032342351844022501338819730493177=90001360899808588008303297970210411641687430692371295943*6174769859791098532044317439778907716324059106295733031224262844316204058977874112868395979839

cado polynomial
n: 555737690624319132592849448982809679223327776921878252315833787750791372112750169703786027864772803946005993363670004032342351844022501338819730493177
skew: 0.65
type: snfs
c0: -2
c5: 17
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5-2
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5000000
tasks.lim1 = 5000000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
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: 6174769859791098532044317439778907716324059106295733031224262844316204058977874112868395979839 90001360899808588008303297970210411641687430692371295943
Info:Square Root: Total cpu/real time for sqrt: 192.59/61.4621
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11763191
Info:Lattice Sieving: Average J: 1893.15 for 454261 special-q, max bucket fill -bkmult 1.0,1s:1.257340
Info:Lattice Sieving: Total time: 59243.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.13/1.19779
Info:Generate Free Relations: Total cpu/real time for freerel: 59.67/16.7779
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.15/49.4024
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.199999999999996s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 122.1/111.026
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 95.6s
Info:Filtering - Merging: Merged matrix has 833377 rows and total weight 142186065 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 188.39/53.2465
Info:Filtering - Merging: Total cpu/real time for replay: 30.65/25.5819
Info:Linear Algebra: Total cpu/real time for bwc: 10902.3/2804.99
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6877.77, WCT time 1761.46, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26112 iterations)
Info:Linear Algebra: Lingen CPU time 145.26, WCT time 37.02
Info:Linear Algebra: Mksol: CPU time 3744.47,  WCT time 956.57, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13056 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 30.17/11.858
Info:Square Root: Total cpu/real time for sqrt: 192.59/61.4621
Info:Filtering - Singleton removal: Total cpu/real time for purge: 65.04/76.1521
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 121162/32846.5
Info:root: Cleaning up computation data in /tmp/cado.627tp9kz
6174769859791098532044317439778907716324059106295733031224262844316204058977874112868395979839 90001360899808588008303297970210411641687430692371295943

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

192463995567163750687219923987584214574888317935794294389009607236585277049222218327212137104426719996129673368177137992436362699<129>

25480591005482116311928034562513574876399<41>
7553356808943535497865723804248895894202394458741983713025284441877583012655545497193701<88>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 192463995567163750687219923987584214574888317935794294389009607236585277049222218327212137104426719996129673368177137992436362699 (129 digits)
Using B1=35320000, B2=192388936756, polynomial Dickson(12), sigma=1:1424764418
Step 1 took 56991ms
Step 2 took 25542ms
********** Factor found in step 2: 25480591005482116311928034562513574876399
Found prime factor of 41 digits: 25480591005482116311928034562513574876399
Prime cofactor 7553356808943535497865723804248895894202394458741983713025284441877583012655545497193701 has 88 digits

66294819502112557821091692410223449323836476727419339406159275562451884253108136990925113743767781513202988871432535413630017563495326877736917494874964677317<158>

324419636996475443846074321419088775546599<42>
8738600513320367857773692450409163497633143<43>
23384633759100016356626110996870890422172179613603988273921094635756721381<74>

66294819502112557821091692410223449323836476727419339406159275562451884253108136990925113743767781513202988871432535413630017563495326877736917494874964677317=23384633759100016356626110996870890422172179613603988273921094635756721381*324419636996475443846074321419088775546599 8738600513320367857773692450409163497633143

cado polynomial
n: 66294819502112557821091692410223449323836476727419339406159275562451884253108136990925113743767781513202988871432535413630017563495326877736917494874964677317
skew: 0.16
type: snfs
c0: -1
c5: 8500
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 8500*x^5-1
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5500000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 23384633759100016356626110996870890422172179613603988273921094635756721381 324419636996475443846074321419088775546599 8738600513320367857773692450409163497633143
Info:Square Root: Total cpu/real time for sqrt: 245.56/76.7787
Info:Filtering - Singleton removal: Total cpu/real time for purge: 84.63/101.599
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11896191
Info:Lattice Sieving: Average J: 1896.18 for 512941 special-q, max bucket fill -bkmult 1.0,1s:1.229040
Info:Lattice Sieving: Total time: 69830.3s
Info:Linear Algebra: Total cpu/real time for bwc: 12433.5/3198.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7868.44, WCT time 2015.05, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (28160 iterations)
Info:Linear Algebra: Lingen CPU time 155.55, WCT time 39.57
Info:Linear Algebra: Mksol: CPU time 4265.76,  WCT time 1091.36, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14080 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.39/1.28726
Info:Generate Free Relations: Total cpu/real time for freerel: 59.6/16.6784
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.89/53.7898
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 53.49999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 140.75/132.468
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 111.0s
Info:Filtering - Merging: Merged matrix has 893663 rows and total weight 152143993 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 207.17/58.2005
Info:Filtering - Merging: Total cpu/real time for replay: 32.95/27.5761
Info:Quadratic Characters: Total cpu/real time for characters: 31.84/12.5346
Info:Square Root: Total cpu/real time for sqrt: 245.56/76.7787
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 142627/38596.6
Info:root: Cleaning up computation data in /tmp/cado.o4pukje3
23384633759100016356626110996870890422172179613603988273921094635756721381 324419636996475443846074321419088775546599 8738600513320367857773692450409163497633143

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

2833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<175>

124572355543677296144400130816957379689073820391591<51>
17922625987870711761965879332203921575239117330122939494789<59>
1269037198296065262260578148598110551514616573067503414861584469767<67>

2833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333=124572355543677296144400130816957379689073820391591*17922625987870711761965879332203921575239117330122939494789*1269037198296065262260578148598110551514616573067503414861584469767

cado polynomial
n: 2833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
skew: 0.52
type: snfs
c0: -5
c5: 136
Y0: 50000000000000000000000000000000000
Y1: -1
# f(x) = 136*x^5-5
# g(x) = -x+50000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5900000
tasks.lim1 = 5900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
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: 17922625987870711761965879332203921575239117330122939494789 124572355543677296144400130816957379689073820391591 1269037198296065262260578148598110551514616573067503414861584469767
Info:Square Root: Total cpu/real time for sqrt: 164.28/52.6725
Info:Filtering - Singleton removal: Total cpu/real time for purge: 147.99/137.54
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22414492
Info:Lattice Sieving: Average J: 1893.3 for 875461 special-q, max bucket fill -bkmult 1.0,1s:1.176860
Info:Lattice Sieving: Total time: 136600s
Info:Linear Algebra: Total cpu/real time for bwc: 9707.2/2502.07
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6128.02, WCT time 1574.84, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24832 iterations)
Info:Linear Algebra: Lingen CPU time 147.83, WCT time 37.68
Info:Linear Algebra: Mksol: CPU time 3308.42,  WCT time 844.88, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.53/1.39068
Info:Generate Free Relations: Total cpu/real time for freerel: 118.65/32.3262
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 87.89/100.549
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 100.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 209.78/177.84
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 160.0s
Info:Filtering - Merging: Merged matrix has 786410 rows and total weight 133916050 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 185.27/51.5073
Info:Filtering - Merging: Total cpu/real time for replay: 26.16/22.1878
Info:Quadratic Characters: Total cpu/real time for characters: 25.2/9.93589
Info:Square Root: Total cpu/real time for sqrt: 164.28/52.6725
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 263781/71654.6
Info:root: Cleaning up computation data in /tmp/cado.yx83h_44
17922625987870711761965879332203921575239117330122939494789 124572355543677296144400130816957379689073820391591 1269037198296065262260578148598110551514616573067503414861584469767

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

17147966278680521025502120316002228713379196891211877423112819320873622477547932980652569969931049678660834151041007418141481487<128>

676692265879832922714638875499017673049522630076536801749<57>
25340863407659603009395309829737592825076665803869511971212772218503763<71>

CADO

STA:Thu 25 Nov 2021 08:54:16 AEDT (17,147,966,278,680,521,025,502,120,316,002,228,713,379,196,891,211,877,423,112,819,320,873,622,477,547,932,980,652,569,969,931,049,678,660,834,151,041,007,418,141,481,487 - C128)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 17147966278680521025502120316002228713379196891211877423112819320873622477547932980652569969931049678660834151041007418141481487 2>&1 | tee -a log102

Debug:root: Looking for parameter file for c128 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.c130
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.136hvokk
Info:Database: Opened connection to database /tmp/cado.136hvokk/c130.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 1714796627868052102550212031600222871337919689121187742311281932087362247754793298065
2569969931049678660834151041007418141481487
Debug:root: Root parameter dictionary:
N = 17147966278680521025502120316002228713379196891211877423112819320873622477547932980652569969931049678660834151041007418141481487
lim0 = 11872741
lim1 = 45278470
lpb0 = 27
lpb1 = 28
name = c130
...
n: 17147966278680521025502120316002228713379196891211877423112819320873622477547932980652569969931049678660834151041007418141481487
skew: 40214.121
c0: -32463814391945866662167565000
c1: -7512555585573974889303910
c2: 169885377457756639239
c3: 4683100936063565
c4: -61477711334
c5: -914160
Y0: -3446359398174561716229533
Y1: 161417871510620999
# MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 2.35e-09
# f(x) = -914160*x^5-61477711334*x^4+4683100936063565*x^3+169885377457756639239*x^2-7512555585573974889303910*x-32463814391945866662167565000
# g(x) = 161417871510620999*x-3446359398174561716229533
...
Info:Square Root: finished
Info:Square Root: Factors: 676692265879832922714638875499017673049522630076536801749 25340863407659603009395309829737592825076665803869511971212772218503763
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1577.02/219.266
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): 38768/37.340/45.394/51.150/0.864
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 38768/36.710/40.738/46.170/1.017
Info:Polynomial Selection (size optimized): Total time: 5840.24
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1717.01
Info:Polynomial Selection (root optimized): Rootsieve time: 1716.1
Info:Generate Factor Base: Total cpu/real time for makefb: 59.68/5.31652
Info:Generate Free Relations: Total cpu/real time for freerel: 304.12/19.9593
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19231889
Info:Lattice Sieving: Average J: 7648.54 for 64225 special-q, max bucket fill: 0.654696
Info:Lattice Sieving: Total CPU time: 211161s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.38/67.181
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 67.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 328.32/104.875
Info:Filtering - Singleton removal: Total cpu/real time for purge: 208.22/83.4281
Info:Filtering - Merging: Total cpu/real time for merge: 825.94/750.124
Info:Filtering - Merging: Total cpu/real time for replay: 79.8/79.891
Info:Linear Algebra: Total cpu/real time for bwc: 45279.8/0.000406504
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 2100.78
Info:Linear Algebra: Lingen CPU time 344.37, WCT time 33.77
Info:Linear Algebra: Mksol: WCT time 1139.45
Info:Quadratic Characters: Total cpu/real time for characters: 55.3/13.102
Info:Square Root: Total cpu/real time for sqrt: 1577.02/219.266
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 267487/19432.9
Info:root: Cleaning up computation data in /tmp/cado.136hvokk
676692265879832922714638875499017673049522630076536801749 25340863407659603009395309829737592825076665803869511971212772218503763

END:Thu 25 Nov 2021 14:18:10 AEDT (17,147,966,278,680,521,025,502,120,316,002,228,713,379,196,891,211,877,423,112,819,320,873,622,477,547,932,980,652,569,969,931,049,678,660,834,151,041,007,418,141,481,487 - C128)

10802896982855213871652880862433641451432980865281432329216094881796881628519642896497617027296962893274134359806180696814519406122589919<137>

77299178421916414933306680041633129132591989743066599959698775756901<68>
139754357075964721938603858991478790040419982162799900914210410488819<69>

10802896982855213871652880862433641451432980865281432329216094881796881628519642896497617027296962893274134359806180696814519406122589919=77299178421916414933306680041633129132591989743066599959698775756901*139754357075964721938603858991478790040419982162799900914210410488819

cado polynomial
n: 10802896982855213871652880862433641451432980865281432329216094881796881628519642896497617027296962893274134359806180696814519406122589919
skew: 0.41
type: snfs
c0: -1
c5: 85
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 85*x^5-1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6200000
tasks.lim1 = 6200000
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: 77299178421916414933306680041633129132591989743066599959698775756901 139754357075964721938603858991478790040419982162799900914210410488819
Info:Square Root: Total cpu/real time for sqrt: 181.4/58.0702
Info:Filtering - Singleton removal: Total cpu/real time for purge: 137.75/132.744
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22419538
Info:Lattice Sieving: Average J: 1893.74 for 663463 special-q, max bucket fill -bkmult 1.0,1s:1.186840
Info:Lattice Sieving: Total time: 108619s
Info:Linear Algebra: Total cpu/real time for bwc: 10630.8/2738.99
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6718.86, WCT time 1724.54, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26112 iterations)
Info:Linear Algebra: Lingen CPU time 144.93, WCT time 36.82
Info:Linear Algebra: Mksol: CPU time 3634.49,  WCT time 928.67, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13056 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.67/1.45458
Info:Generate Free Relations: Total cpu/real time for freerel: 117.98/30.6604
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 87.66/98.1053
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 98.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 212.41/179.622
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 162.39999999999998s
Info:Filtering - Merging: Merged matrix has 827463 rows and total weight 141398254 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 190.93/53.4481
Info:Filtering - Merging: Total cpu/real time for replay: 28.34/23.8196
Info:Quadratic Characters: Total cpu/real time for characters: 27.5/10.829
Info:Square Root: Total cpu/real time for sqrt: 181.4/58.0702
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 213468/57956.7
Info:root: Cleaning up computation data in /tmp/cado.cgaefk28
77299178421916414933306680041633129132591989743066599959698775756901 139754357075964721938603858991478790040419982162799900914210410488819

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

602309677030483843702189017812036606938213393918326970738469645829607221990020393356630968994504885451490702107809110312906728623<129>

9992663654710416723372675043500227877476803510606411<52>
60275187661956638732144470573005795717626452002352007513885587162602197688493<77>

602309677030483843702189017812036606938213393918326970738469645829607221990020393356630968994504885451490702107809110312906728623=9992663654710416723372675043500227877476803510606411*60275187661956638732144470573005795717626452002352007513885587162602197688493

cado polynomial
n: 602309677030483843702189017812036606938213393918326970738469645829607221990020393356630968994504885451490702107809110312906728623
skew: 0.52
type: snfs
c0: -5
c5: 136
Y0: 500000000000000000000000000000000000
Y1: -1
# f(x) = 136*x^5-5
# g(x) = -x+500000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7200000
tasks.lim1 = 7200000
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: 9992663654710416723372675043500227877476803510606411 60275187661956638732144470573005795717626452002352007513885587162602197688493
Info:Square Root: Total cpu/real time for sqrt: 270.02/86.2931
Info:Filtering - Singleton removal: Total cpu/real time for purge: 112.75/115.384
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22412619
Info:Lattice Sieving: Average J: 1894.26 for 1032897 special-q, max bucket fill -bkmult 1.0,1s:1.182410
Info:Lattice Sieving: Total time: 170361s
Info:Linear Algebra: Total cpu/real time for bwc: 19988.5/5144.86
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 12678.54, WCT time 3254.63, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35328 iterations)
Info:Linear Algebra: Lingen CPU time 222.93, WCT time 56.49
Info:Linear Algebra: Mksol: CPU time 6900.46,  WCT time 1764.02, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (17664 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.04/1.66559
Info:Generate Free Relations: Total cpu/real time for freerel: 118.64/32.3864
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.04/102.494
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 102.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.98/183.552
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 165.4s
Info:Filtering - Merging: Merged matrix has 1127788 rows and total weight 192531431 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 272.5/76.053
Info:Filtering - Merging: Total cpu/real time for replay: 40.23/33.9587
Info:Quadratic Characters: Total cpu/real time for characters: 38.22/15.0798
Info:Square Root: Total cpu/real time for sqrt: 270.02/86.2931
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 338875/91282.7
Info:root: Cleaning up computation data in /tmp/cado.dvpw35y1
9992663654710416723372675043500227877476803510606411 60275187661956638732144470573005795717626452002352007513885587162602197688493

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

10557491853041609953650495066462903058043321730692794243172294770009522139442843032101866821841974370822911826728067097035529756249617404907055004123232763793652853<164>

32408579270794479255548250835817265499288648060853830240838386764496379<71>
325762254643345820450577559672767266269876957608243210316833674364906145841502100348596425807<93>

10557491853041609953650495066462903058043321730692794243172294770009522139442843032101866821841974370822911826728067097035529756249617404907055004123232763793652853=32408579270794479255548250835817265499288648060853830240838386764496379*325762254643345820450577559672767266269876957608243210316833674364906145841502100348596425807

cado polynomial
n: 10557491853041609953650495066462903058043321730692794243172294770009522139442843032101866821841974370822911826728067097035529756249617404907055004123232763793652853
skew: 0.65
type: snfs
c0: -2
c5: 17
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5-2
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7300000
tasks.lim1 = 7300000
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: 32408579270794479255548250835817265499288648060853830240838386764496379 325762254643345820450577559672767266269876957608243210316833674364906145841502100348596425807
Info:Square Root: Total cpu/real time for sqrt: 247.23/79.3042
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22409239
Info:Lattice Sieving: Average J: 1894.65 for 1049699 special-q, max bucket fill -bkmult 1.0,1s:1.174970
Info:Lattice Sieving: Total time: 174944s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.12/1.68072
Info:Generate Free Relations: Total cpu/real time for freerel: 116.28/31.3945
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.46/99.2297
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 99.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.78/183.814
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 166.60000000000002s
Info:Filtering - Merging: Merged matrix has 1148467 rows and total weight 195866884 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 279.9/77.8807
Info:Filtering - Merging: Total cpu/real time for replay: 40.95/34.7346
Info:Linear Algebra: Total cpu/real time for bwc: 21017.4/5402.07
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 13355.16, WCT time 3416.93, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36096 iterations)
Info:Linear Algebra: Lingen CPU time 226.68, WCT time 57.49
Info:Linear Algebra: Mksol: CPU time 7242.33,  WCT time 1856.02, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18176 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 38.66/15.2997
Info:Square Root: Total cpu/real time for sqrt: 247.23/79.3042
Info:Filtering - Singleton removal: Total cpu/real time for purge: 112.7/116.295
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 347692/93928.7
Info:root: Cleaning up computation data in /tmp/cado.5_y1jyhb
32408579270794479255548250835817265499288648060853830240838386764496379 325762254643345820450577559672767266269876957608243210316833674364906145841502100348596425807

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

117460456364791323459372294306499356825236587811700504639373514144123869011036975164158343170278417993613599255253731064440763907247248148079265375938143283545100028923<168>

3346227072481161247693694267084631659<37>
35102356720130387404541691390160039687050862854328516560260471060661147713490047993037218610902845252941186092899780305340318162097<131>

117460456364791323459372294306499356825236587811700504639373514144123869011036975164158343170278417993613599255253731064440763907247248148079265375938143283545100028923=3346227072481161247693694267084631659*35102356720130387404541691390160039687050862854328516560260471060661147713490047993037218610902845252941186092899780305340318162097

cado polynomial
n: 117460456364791323459372294306499356825236587811700504639373514144123869011036975164158343170278417993613599255253731064440763907247248148079265375938143283545100028923
skew: 0.41
type: snfs
c0: -1
c5: 85
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 85*x^5-1
# g(x) = -x+1000000000000000000000000000000000000

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: 35102356720130387404541691390160039687050862854328516560260471060661147713490047993037218610902845252941186092899780305340318162097 3346227072481161247693694267084631659
Info:Square Root: Total cpu/real time for sqrt: 230.36/73.7906
Info:Filtering - Singleton removal: Total cpu/real time for purge: 122.11/122.815
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22417497
Info:Lattice Sieving: Average J: 1894.44 for 921622 special-q, max bucket fill -bkmult 1.0,1s:1.166980
Info:Lattice Sieving: Total time: 158788s
Info:Linear Algebra: Total cpu/real time for bwc: 17266.1/4443.22
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 10922.83, WCT time 2800.98, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (33024 iterations)
Info:Linear Algebra: Lingen CPU time 212.64, WCT time 53.91
Info:Linear Algebra: Mksol: CPU time 5958.25,  WCT time 1524.62, iteration CPU time 0.09, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16640 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.19/1.74988
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.13/102.398
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 102.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.54/182.824
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 164.89999999999998s
Info:Filtering - Merging: Merged matrix has 1055963 rows and total weight 179555858 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 262.06/72.5559
Info:Filtering - Merging: Total cpu/real time for replay: 37.15/31.3777
Info:Quadratic Characters: Total cpu/real time for characters: 35.14/13.9039
Info:Square Root: Total cpu/real time for sqrt: 230.36/73.7906
Info:Generate Free Relations: Total cpu/real time for freerel: 118.76/32.3198
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 314540/84860
Info:root: Cleaning up computation data in /tmp/cado.lqlcr9m1
35102356720130387404541691390160039687050862854328516560260471060661147713490047993037218610902845252941186092899780305340318162097 3346227072481161247693694267084631659

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

6648298990616858492932942309631304083006236927121462598771099076559025034705379219650620100138403762547674884729629293792129775031612734973181154565029749<154>

259042191155177496539148312548713894812683151353616381054903689277953<69>
25664927249763106479651936832723354027189235775812552058491072894256031621599547254133<86>

6648298990616858492932942309631304083006236927121462598771099076559025034705379219650620100138403762547674884729629293792129775031612734973181154565029749=259042191155177496539148312548713894812683151353616381054903689277953*25664927249763106479651936832723354027189235775812552058491072894256031621599547254133

cado polynomial
n: 6648298990616858492932942309631304083006236927121462598771099076559025034705379219650620100138403762547674884729629293792129775031612734973181154565029749
skew: 0.26
type: snfs
c0: -1
c5: 850
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 850*x^5-1
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7800000
tasks.lim1 = 7800000
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: 259042191155177496539148312548713894812683151353616381054903689277953 25664927249763106479651936832723354027189235775812552058491072894256031621599547254133
Info:Square Root: Total cpu/real time for sqrt: 334.73/105.899
Info:Filtering - Singleton removal: Total cpu/real time for purge: 100.48/109.408
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22415350
Info:Lattice Sieving: Average J: 1893.65 for 1272934 special-q, max bucket fill -bkmult 1.0,1s:1.160460
Info:Lattice Sieving: Total time: 215374s
Info:Linear Algebra: Total cpu/real time for bwc: 27505.5/7094.19
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 17497.07, WCT time 4486.98, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41216 iterations)
Info:Linear Algebra: Lingen CPU time 255.98, WCT time 64.99
Info:Linear Algebra: Mksol: CPU time 9527.99,  WCT time 2458.34, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20736 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.35/1.90659
Info:Generate Free Relations: Total cpu/real time for freerel: 119.41/32.4382
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.67/102.482
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 102.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.66/181.221
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 166.6s
Info:Filtering - Merging: Merged matrix has 1317243 rows and total weight 224426209 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 335.11/92.7128
Info:Filtering - Merging: Total cpu/real time for replay: 47.5/40.5371
Info:Quadratic Characters: Total cpu/real time for characters: 44.65/18.6872
Info:Square Root: Total cpu/real time for sqrt: 334.73/105.899
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 430448/115844
Info:root: Cleaning up computation data in /tmp/cado.vhgzve8g
259042191155177496539148312548713894812683151353616381054903689277953 25664927249763106479651936832723354027189235775812552058491072894256031621599547254133

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

6892740443232196261036052713960976256337838241552871308360373832428603607838711129361005523930881462068642455975017689182439303583135371<136>

6240328959747576422844622648446158771700007172439752917692003135241<67>
1104547610821947777589301055776698228678393533457384090382874093586931<70>

6892740443232196261036052713960976256337838241552871308360373832428603607838711129361005523930881462068642455975017689182439303583135371=6240328959747576422844622648446158771700007172439752917692003135241*1104547610821947777589301055776698228678393533457384090382874093586931

cado polynomial
n: 6892740443232196261036052713960976256337838241552871308360373832428603607838711129361005523930881462068642455975017689182439303583135371
skew: 0.16
type: snfs
c0: -1
c5: 8500
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 8500*x^5-1
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8100000
tasks.lim1 = 8100000
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: 1104547610821947777589301055776698228678393533457384090382874093586931 6240328959747576422844622648446158771700007172439752917692003135241
Info:Square Root: Total cpu/real time for sqrt: 329.64/102.549
Info:Filtering - Singleton removal: Total cpu/real time for purge: 109.72/114.669
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22414406
Info:Lattice Sieving: Average J: 1897.47 for 1170007 special-q, max bucket fill -bkmult 1.0,1s:1.199930
Info:Lattice Sieving: Total time: 204620s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.49/1.8819
Info:Linear Algebra: Total cpu/real time for bwc: 24479.7/6293.87
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 15564.82, WCT time 3987.93, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39168 iterations)
Info:Linear Algebra: Lingen CPU time 238.66, WCT time 60.53
Info:Linear Algebra: Mksol: CPU time 8460.29,  WCT time 2164.21, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (19712 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.75/32.3968
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.69/104.23
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 104.1s
Info:Filtering - Merging: Merged matrix has 1249381 rows and total weight 213509464 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 315.04/87.353
Info:Filtering - Merging: Total cpu/real time for replay: 44.39/37.8228
Info:Quadratic Characters: Total cpu/real time for characters: 41.67/16.5155
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 217.12/186.059
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 169.3s
Info:Square Root: Total cpu/real time for sqrt: 329.64/102.549
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 407868/109728
Info:root: Cleaning up computation data in /tmp/cado.yh2c7ily
1104547610821947777589301055776698228678393533457384090382874093586931 6240328959747576422844622648446158771700007172439752917692003135241

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

28333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<185>

560061559048427782406707466096075515922989631759559756789885007868634867785026354643761<87>
50589676930287921201404435924198205545611535045674064687702846775526666812847494446859443274974053<98>

28333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333=560061559048427782406707466096075515922989631759559756789885007868634867785026354643761*50589676930287921201404435924198205545611535045674064687702846775526666812847494446859443274974053

cado polynomial
n: 28333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
skew: 0.52
type: snfs
c0: -5
c5: 136
Y0: 5000000000000000000000000000000000000
Y1: -1
# f(x) = 136*x^5-5
# g(x) = -x+5000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8700000
tasks.lim1 = 8700000
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: 560061559048427782406707466096075515922989631759559756789885007868634867785026354643761 50589676930287921201404435924198205545611535045674064687702846775526666812847494446859443274974053
Info:Square Root: Total cpu/real time for sqrt: 448.74/142.459
Info:Generate Free Relations: Total cpu/real time for freerel: 117.33/31.8335
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 95.27/108.923
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 108.50000000000001s
Info:Linear Algebra: Total cpu/real time for bwc: 28452.7/7277.29
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 12010.4, WCT time 3069.64, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52480 iterations)
Info:Linear Algebra: Lingen CPU time 326.99, WCT time 83.05
Info:Linear Algebra: Mksol: CPU time 16110.27,  WCT time 4122.81, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26368 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 354.67/343.341
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 281.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 242.05/286.298
Info:Generate Factor Base: Total cpu/real time for makefb: 3.68/2.0048
Info:Filtering - Merging: Merged matrix has 1677750 rows and total weight 285973639 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 437.48/122.023
Info:Filtering - Merging: Total cpu/real time for replay: 69.93/60.4983
Info:Quadratic Characters: Total cpu/real time for characters: 60.77/25.5987
Info:Square Root: Total cpu/real time for sqrt: 448.74/142.459
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23588422
Info:Lattice Sieving: Average J: 1894.03 for 1379297 special-q, max bucket fill -bkmult 1.0,1s:1.163960
Info:Lattice Sieving: Total time: 245948s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 488945/7449.75
560061559048427782406707466096075515922989631759559756789885007868634867785026354643761 50589676930287921201404435924198205545611535045674064687702846775526666812847494446859443274974053

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

21111074827386986177049171990746431196437483206297049398129428080981664388956908017572873142234938510410419883772155460334765157308380454665002658282895459276158666693<167>

196832137126375056278639468131967618953498281931503503346214886669114287921<75>
107254207242756957420143747366562004930725135074874345015208015033035804643591595982069509333<93>

21111074827386986177049171990746431196437483206297049398129428080981664388956908017572873142234938510410419883772155460334765157308380454665002658282895459276158666693=
196832137126375056278639468131967618953498281931503503346214886669114287921*107254207242756957420143747366562004930725135074874345015208015033035804643591595982069509333

cado polynomial
n: 21111074827386986177049171990746431196437483206297049398129428080981664388956908017572873142234938510410419883772155460334765157308380454665002658282895459276158666693
skew: 0.65
type: snfs
c0: -2
c5: 17
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 17*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: 196832137126375056278639468131967618953498281931503503346214886669114287921 107254207242756957420143747366562004930725135074874345015208015033035804643591595982069509333
Info:Square Root: Total cpu/real time for sqrt: 424.63/136.601
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 94.83/108.987
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 108.60000000000001s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 356.01/342.984
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 282.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.74/2.03469
Info:Square Root: Total cpu/real time for sqrt: 424.63/136.601
Info:Filtering - Merging: Merged matrix has 1686495 rows and total weight 288258984 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 439.47/122.054
Info:Filtering - Merging: Total cpu/real time for replay: 65.43/56.3669
Info:Linear Algebra: Total cpu/real time for bwc: 47442.7/12167.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 30354.97, WCT time 7752.62, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52736 iterations)
Info:Linear Algebra: Lingen CPU time 329.12, WCT time 83.56
Info:Linear Algebra: Mksol: CPU time 16448.08,  WCT time 4211.78, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26368 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 241.71/284.56
Info:Quadratic Characters: Total cpu/real time for characters: 61.01/24.7499
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23652912
Info:Lattice Sieving: Average J: 1894.59 for 1389049 special-q, max bucket fill -bkmult 1.0,1s:1.150380
Info:Lattice Sieving: Total time: 250659s
Info:Generate Free Relations: Total cpu/real time for freerel: 116.95/31.806
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 517028/38607.4
196832137126375056278639468131967618953498281931503503346214886669114287921 107254207242756957420143747366562004930725135074874345015208015033035804643591595982069509333

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

460512074392019739634538747978438315274111134112165168666593381624520491162263568150388687805455463992607781915029<114>

45419622449617310238108768537601930030799<41>
10139055534925518791559249678644302536451306460601315326653823114506631771<74>

11/22/21 17:58:57 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing nfs on c114: 460512074392019739634538747978438315274111134112165168666593381624520491162263568150388687805455463992607781915029
11/22/21 17:58:57 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing poly selection with 16 threads
11/22/21 17:58:57 v1.34.5 @ DESKTOP-RJPVCOL, nfs: setting deadline of 387 seconds
11/22/21 18:05:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: completed 76 ranges of size 250 in 378.7738 seconds
11/22/21 18:05:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: best poly = # norm 9.316178e-011 alpha -6.665667 e 6.873e-010 rroots 3
11/22/21 18:05:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 18:10:52 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 18:16:35 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 18:22:01 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 18:27:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 18:33:53 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 18:39:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 18:45:05 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 18:50:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 18:56:21 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 19:02:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 19:07:42 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 19:13:40 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 19:19:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 19:25:07 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 19:31:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 19:36:52 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 19:42:45 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 19:48:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 19:54:45 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/22/21 20:00:31 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/22/21 20:02:06 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
11/22/21 20:05:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
11/22/21 20:05:49 v1.34.5 @ DESKTOP-RJPVCOL, prp74 = 10139055534925518791559249678644302536451306460601315326653823114506631771
11/22/21 20:05:49 v1.34.5 @ DESKTOP-RJPVCOL, prp41 = 45419622449617310238108768537601930030799
11/22/21 20:05:49 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 7612.5520 seconds.

38381722619410362070084852363900674048201713138266219129693731088766662132479880464135037993806691846037296498039163010734383293665409761965032332230120346671379561<164>

15635000663691244134627861105597630383205487<44>
2454859033587586561765866531511266208953390414414527897423196983395636827320127350047696624907035862973137966681718491303<121>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 38381722619410362070084852363900674048201713138266219129693731088766662132479880464135037993806691846037296498039163010734383293665409761965032332230120346671379561 (164 digits)
Using B1=35350000, B2=192388936756, polynomial Dickson(12), sigma=1:299240913
Step 1 took 86083ms
Step 2 took 30719ms
********** Factor found in step 2: 15635000663691244134627861105597630383205487
Found prime factor of 44 digits: 15635000663691244134627861105597630383205487
Prime cofactor 2454859033587586561765866531511266208953390414414527897423196983395636827320127350047696624907035862973137966681718491303 has 121 digits

1053283767038413878562577447335811648079306071871127633209417596034696406443618339529120198265179677819083023543990086741016109045848822800495662949194547707558859975216852540272614622057<187>

144825917524573969216443410142429200907822494394426279313495830790966954279<75>
7272757425201144411717773426489959480527700204152972454231624439906486935397010374430981436558895772869409491183<112>

1053283767038413878562577447335811648079306071871127633209417596034696406443618339529120198265179677819083023543990086741016109045848822800495662949194547707558859975216852540272614622057=144825917524573969216443410142429200907822494394426279313495830790966954279*7272757425201144411717773426489959480527700204152972454231624439906486935397010374430981436558895772869409491183

cado polynomial
n: 1053283767038413878562577447335811648079306071871127633209417596034696406443618339529120198265179677819083023543990086741016109045848822800495662949194547707558859975216852540272614622057
skew: 0.16
type: snfs
c0: -1
c5: 8500
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 8500*x^5-1
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9900000
tasks.lim1 = 9900000
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: 7272757425201144411717773426489959480527700204152972454231624439906486935397010374430981436558895772869409491183 144825917524573969216443410142429200907822494394426279313495830790966954279
Info:Square Root: Total cpu/real time for sqrt: 953.21/291.444
Info:Filtering - Singleton removal: Total cpu/real time for purge: 288.36/337.766
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24163820
Info:Lattice Sieving: Average J: 1898.11 for 1585722 special-q, max bucket fill -bkmult 1.0,1s:1.138210
Info:Lattice Sieving: Total time: 304008s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.21/2.20076
Info:Linear Algebra: Total cpu/real time for bwc: 52093.3/13361.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 33336.85, WCT time 8506.16, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55808 iterations)
Info:Linear Algebra: Lingen CPU time 347.78, WCT time 88.34
Info:Linear Algebra: Mksol: CPU time 18078.78,  WCT time 4635.39, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27904 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.74/32.9932
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 99.69/113.77
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 113.20000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 395.89/395.166
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 318.29999999999995s
Info:Filtering - Merging: Merged matrix has 1780245 rows and total weight 304633613 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 472.6/130.812
Info:Filtering - Merging: Total cpu/real time for replay: 68.11/58.591
Info:Quadratic Characters: Total cpu/real time for characters: 63.01/27.0861
Info:Square Root: Total cpu/real time for sqrt: 953.21/291.444
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 622396/166639
Info:root: Cleaning up computation data in /tmp/cado.el0tewy3
7272757425201144411717773426489959480527700204152972454231624439906486935397010374430981436558895772869409491183 144825917524573969216443410142429200907822494394426279313495830790966954279

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

2332447631908457838579820809532217821040655504545131077824160351416094521521562619527476171941889480528012256940934513110482372947<130>

7657933614403213964938847924204200003155017<43>
304579244134675941304680103782341519018912181997548152349849458833505877741599265839291<87>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:142447623
Step 1 took 4813ms
Step 2 took 2969ms
********** Factor found in step 2: 7657933614403213964938847924204200003155017
Found prime factor of 43 digits: 7657933614403213964938847924204200003155017
Prime cofactor 304579244134675941304680103782341519018912181997548152349849458833505877741599265839291 has 87 digits

GMP-ECM

118997620047599048019039619207615847683046339073218535629287414251714965700685986280274394512109757804843903121937561248775024499510009799804003919921601567968640627187456250874982500349993<189>

116674903124152980473662198091077<33>
1019907596760328826444490598748081924181152208736415459691330856659672652025021137355598735708991213282127830954940479330980570935246140612800576048750293909<157>

118997620047599048019039619207615847683046339073218535629287414251714965700685986280274394512109757804843903121937561248775024499510009799804003919921601567968640627187456250874982500349993=116674903124152980473662198091077*1019907596760328826444490598748081924181152208736415459691330856659672652025021137355598735708991213282127830954940479330980570935246140612800576048750293909

cado polynomial
n: 118997620047599048019039619207615847683046339073218535629287414251714965700685986280274394512109757804843903121937561248775024499510009799804003919921601567968640627187456250874982500349993
skew: 0.41
type: snfs
c0: -1
c5: 85
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 85*x^5-1
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11100000
tasks.lim1 = 11100000
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: 116674903124152980473662198091077 1019907596760328826444490598748081924181152208736415459691330856659672652025021137355598735708991213282127830954940479330980570935246140612800576048750293909
Info:Square Root: Total cpu/real time for sqrt: 492.03/158.161
Info:Filtering - Singleton removal: Total cpu/real time for purge: 330.12/385.099
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25205938
Info:Lattice Sieving: Average J: 1894.55 for 1961465 special-q, max bucket fill -bkmult 1.0,1s:1.152210
Info:Lattice Sieving: Total time: 399683s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.72/2.40119
Info:Linear Algebra: Total cpu/real time for bwc: 64590.7/16602.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 41441.5, WCT time 10585.09, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (61440 iterations)
Info:Linear Algebra: Lingen CPU time 394.21, WCT time 100.22
Info:Linear Algebra: Mksol: CPU time 22381.4,  WCT time 5761.8, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30720 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 117.11/31.7098
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.93/119.095
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 118.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 440.08/440.815
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 353.3s
Info:Filtering - Merging: Merged matrix has 1958230 rows and total weight 333991855 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 521.87/144.498
Info:Filtering - Merging: Total cpu/real time for replay: 74.62/64.6908
Info:Quadratic Characters: Total cpu/real time for characters: 68.04/29.4858
Info:Square Root: Total cpu/real time for sqrt: 492.03/158.161
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 815374/217698
Info:root: Cleaning up computation data in /tmp/cado.fkr5h0yu
116674903124152980473662198091077 1019907596760328826444490598748081924181152208736415459691330856659672652025021137355598735708991213282127830954940479330980570935246140612800576048750293909

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

16750408857773854897711165014583694206112401549471938434167838702627626784337303574359892978681853178528025306123575057498241699729017797407943201531263258687599554084409842697895734813833<188>

20011463029117567833004994117292848601914285251<47>
837040691797559517528043740715629035076082599120206633110161101609018701332258793310184982851896707660448626670273531568728463479155609638083<141>

16750408857773854897711165014583694206112401549471938434167838702627626784337303574359892978681853178528025306123575057498241699729017797407943201531263258687599554084409842697895734813833=20011463029117567833004994117292848601914285251*837040691797559517528043740715629035076082599120206633110161101609018701332258793310184982851896707660448626670273531568728463479155609638083

cado polynomial
n: 16750408857773854897711165014583694206112401549471938434167838702627626784337303574359892978681853178528025306123575057498241699729017797407943201531263258687599554084409842697895734813833
skew: 0.16
type: snfs
c0: -1
c5: 8500
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 8500*x^5-1
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11900000
tasks.lim1 = 11900000
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: 837040691797559517528043740715629035076082599120206633110161101609018701332258793310184982851896707660448626670273531568728463479155609638083 20011463029117567833004994117292848601914285251
Info:Square Root: Total cpu/real time for sqrt: 1247.86/379.196
Info:Filtering - Singleton removal: Total cpu/real time for purge: 404.22/461.73
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27394988
Info:Lattice Sieving: Average J: 1897.56 for 2390255 special-q, max bucket fill -bkmult 1.0,1s:1.158910
Info:Lattice Sieving: Total time: 506570s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.05/2.4928
Info:Linear Algebra: Total cpu/real time for bwc: 84758/21709.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 54154.09, WCT time 13819.52, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (69632 iterations)
Info:Linear Algebra: Lingen CPU time 492.35, WCT time 124.67
Info:Linear Algebra: Mksol: CPU time 29347.36,  WCT time 7507.71, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34816 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 121.33/33.0068
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 115.17/136.764
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 136.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 507.71/525.526
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 417.19999999999993s
Info:Filtering - Merging: Merged matrix has 2225130 rows and total weight 379871416 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 608.01/167.974
Info:Filtering - Merging: Total cpu/real time for replay: 85.89/74.3014
Info:Quadratic Characters: Total cpu/real time for characters: 78.64/34.9074
Info:Square Root: Total cpu/real time for sqrt: 1247.86/379.196
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.03486e+06/276707
Info:root: Cleaning up computation data in /tmp/cado.85w4jfca
837040691797559517528043740715629035076082599120206633110161101609018701332258793310184982851896707660448626670273531568728463479155609638083 20011463029117567833004994117292848601914285251

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

290926515384878666529760071191429647123250162576582126843960707807098606975391039463326145737070883389807303966868603894992641270493206010199541362905157955984529554711298216791593935037820447<192>

418509433930047628527282959065511668435698691<45>
695149241088567682016374555125780163545504120025140063196826690308756584706444172425210138210367206106778561350198375773597083016214870161866049717<147>

290926515384878666529760071191429647123250162576582126843960707807098606975391039463326145737070883389807303966868603894992641270493206010199541362905157955984529554711298216791593935037820447=418509433930047628527282959065511668435698691*695149241088567682016374555125780163545504120025140063196826690308756584706444172425210138210367206106778561350198375773597083016214870161866049717

cado polynomial
n: 290926515384878666529760071191429647123250162576582126843960707807098606975391039463326145737070883389807303966868603894992641270493206010199541362905157955984529554711298216791593935037820447
skew: 0.65
type: snfs
c0: -2
c5: 17
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5-2
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13000000
tasks.lim1 = 13000000
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: 695149241088567682016374555125780163545504120025140063196826690308756584706444172425210138210367206106778561350198375773597083016214870161866049717 418509433930047628527282959065511668435698691
Info:Square Root: Total cpu/real time for sqrt: 701.88/225.655
Info:Filtering - Singleton removal: Total cpu/real time for purge: 427.99/490.274
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29332482
Info:Lattice Sieving: Average J: 1893.91 for 3459171 special-q, max bucket fill -bkmult 1.0,1s:1.136820
Info:Lattice Sieving: Total time: 762944s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.47/2.52633
Info:Linear Algebra: Total cpu/real time for bwc: 125762/32193
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 80769.18, WCT time 20603.86, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (83456 iterations)
Info:Linear Algebra: Lingen CPU time 573.09, WCT time 145.63
Info:Linear Algebra: Mksol: CPU time 43452.04,  WCT time 11093.21, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41984 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 117.03/31.8776
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 122.72/144.714
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 144.00000000000003s
Info:Filtering - Merging: Merged matrix has 2657941 rows and total weight 454239294 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 746.57/205.835
Info:Filtering - Merging: Total cpu/real time for replay: 104.95/92.2774
Info:Quadratic Characters: Total cpu/real time for characters: 92.7/40.6534
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 526.82/541.246
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 437.50000000000006s
Info:Square Root: Total cpu/real time for sqrt: 701.88/225.655
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.557e+06/415635
Info:root: Cleaning up computation data in /tmp/cado.de6arbfu
695149241088567682016374555125780163545504120025140063196826690308756584706444172425210138210367206106778561350198375773597083016214870161866049717 418509433930047628527282959065511668435698691

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

1328094316802447266135414469044252001998771625272099494845874506967509678052310767267298355959839252889247153984159317405003976790662541988736928522876217886064054395576157697<175>

692194288600956347572414725990954450004029215035061792785826399258571401<72>
1918672746472315154713727257160620116478354812344964309080535681035704273724137676414544795881272211897<103>

1328094316802447266135414469044252001998771625272099494845874506967509678052310767267298355959839252889247153984159317405003976790662541988736928522876217886064054395576157697=692194288600956347572414725990954450004029215035061792785826399258571401*1918672746472315154713727257160620116478354812344964309080535681035704273724137676414544795881272211897

cado polynomial
n: 1328094316802447266135414469044252001998771625272099494845874506967509678052310767267298355959839252889247153984159317405003976790662541988736928522876217886064054395576157697
skew: 0.16
type: snfs
c0: -1
c5: 8500
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 8500*x^5-1
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14500000
tasks.lim1 = 14500000
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: 692194288600956347572414725990954450004029215035061792785826399258571401 1918672746472315154713727257160620116478354812344964309080535681035704273724137676414544795881272211897
Info:Square Root: Total cpu/real time for sqrt: 859.84/269.228
Info:Filtering - Singleton removal: Total cpu/real time for purge: 417.22/492.702
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29921003
Info:Lattice Sieving: Average J: 1897.4 for 3903973 special-q, max bucket fill -bkmult 1.0,1s:1.128490
Info:Lattice Sieving: Total time: 929635s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.14/2.772
Info:Linear Algebra: Total cpu/real time for bwc: 141591/36232.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 90827.74, WCT time 23159.97, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (88576 iterations)
Info:Linear Algebra: Lingen CPU time 616.52, WCT time 156.61
Info:Linear Algebra: Mksol: CPU time 49096.07,  WCT time 12543.08, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (44544 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 128.85/153.469
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 152.79999999999998s
Info:Generate Free Relations: Total cpu/real time for freerel: 119.02/32.5577
Info:Filtering - Merging: Merged matrix has 2830991 rows and total weight 481966502 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 802.56/220.909
Info:Filtering - Merging: Total cpu/real time for replay: 110.53/98.5512
Info:Quadratic Characters: Total cpu/real time for characters: 97.22/42.4692
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 538.7/556.224
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 451.4s
Info:Square Root: Total cpu/real time for sqrt: 859.84/269.228
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.88802e+06/503244
Info:root: Cleaning up computation data in /tmp/cado.2x5y9vnc
692194288600956347572414725990954450004029215035061792785826399258571401 1918672746472315154713727257160620116478354812344964309080535681035704273724137676414544795881272211897

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

836825153404820583061207958410449097101263925225514802117093564320617041379362575617505860148473143646747781434233435237302899129559806617949283656910499168238967848522224416650152832926889473<192>

2086559874563315724101893823336288589503811438345103453814068655434200815801088770186945491<91>
401054943884586571390291041275304623579977256631421161349749728482909758568019991582312374755473383003<102>

Number: n
N=836825153404820583061207958410449097101263925225514802117093564320617041379362575617505860148473143646747781434233435237302899129559806617949283656910499168238967848522224416650152832926889473  ( 192 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sat Dec 11 04:17:17 2021  p91 factor: 2086559874563315724101893823336288589503811438345103453814068655434200815801088770186945491
Sat Dec 11 04:17:17 2021  p102 factor: 401054943884586571390291041275304623579977256631421161349749728482909758568019991582312374755473383003
Sat Dec 11 04:17:17 2021  elapsed time 01:29:11 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 17x10^201-2 = 56(201)
#
n: 836825153404820583061207958410449097101263925225514802117093564320617041379362575617505860148473143646747781434233435237302899129559806617949283656910499168238967848522224416650152832926889473
m: 10000000000000000000000000000000000000000
deg: 5
c5: 85
c0: -1
skew: 0.41
# Murphy_E = 1.449e-11
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9867613 hash collisions in 69144069 relations (62254357 unique)
Msieve: matrix is 1847184 x 1847411 (632.4 MB)

Sieving start time : 2021/12/10 15:31:58
Sieving end time  : 2021/12/11 02:46:46

Total sieving time: 11hrs 14min 48secs.

Total relation processing time: 1hrs 9min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 4sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118965] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.154164] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120)
[    0.152035] smpboot: Total of 16 processors activated (102384.96 BogoMIPS)

85636508039825108119103413005690696061812492754469141846436001186497544782922158410505988829506291268421284290846647324943864568748928153881089<143>

9152462987789958919710393813396688856242514388042343272811<58>
9356662589520475822907707758712108448287204532113457576574394097415834854716930584899<85>

85636508039825108119103413005690696061812492754469141846436001186497544782922158410505988829506291268421284290846647324943864568748928153881089=9152462987789958919710393813396688856242514388042343272811*9356662589520475822907707758712108448287204532113457576574394097415834854716930584899

cado polynomial
n: 85636508039825108119103413005690696061812492754469141846436001186497544782922158410505988829506291268421284290846647324943864568748928153881089
skew: 0.16
type: snfs
c0: -1
c5: 8500
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 8500*x^5-1
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 17500000
tasks.lim1 = 17500000
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 = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 9356662589520475822907707758712108448287204532113457576574394097415834854716930584899 9152462987789958919710393813396688856242514388042343272811
Info:Square Root: Total cpu/real time for sqrt: 1238.7/384.876
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49355786
Info:Lattice Sieving: Average J: 1897.58 for 5027948 special-q, max bucket fill -bkmult 1.0,1s:1.123400
Info:Lattice Sieving: Total time: 1.42518e+06s
Info:Generate Factor Base: Total cpu/real time for makefb: 7.46/3.18638
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 212.77/250.758
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 250.1s
Info:Generate Free Relations: Total cpu/real time for freerel: 237.17/62.1389
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 903.37/903.661
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 736.0999999999998s
Info:Filtering - Merging: Merged matrix has 3759506 rows and total weight 644042423 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1115.34/305.824
Info:Filtering - Merging: Total cpu/real time for replay: 152.07/132.122
Info:Linear Algebra: Total cpu/real time for bwc: 264092/67463.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 170222.57, WCT time 43347.91, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (117760 iterations)
Info:Linear Algebra: Lingen CPU time 831.93, WCT time 211.18
Info:Linear Algebra: Mksol: CPU time 91495.4,  WCT time 23312.77, iteration CPU time 0.38, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (58880 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 135.6/58.2655
Info:Square Root: Total cpu/real time for sqrt: 1238.7/384.876
Info:Filtering - Singleton removal: Total cpu/real time for purge: 650.63/763.325
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.95231e+06/783391
Info:root: Cleaning up computation data in /tmp/cado.rx5a236t
9356662589520475822907707758712108448287204532113457576574394097415834854716930584899 9152462987789958919710393813396688856242514388042343272811

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

1494617976923088873482507098568109268849950901571374441012718891355098962095599529925793667931845806950222740205965586113078533932883570019737839951217308140023157242870347337404840311164543<190>

400230753338935804125460570808159756518121<42>
29835608198013714597656231164356744017143931970683121815013282510255703<71>
125165560887973150064997201444984190650874291006954421200463858950059536790961<78>

Number: n
N=3734390634538196470991109791937869283854714472024254532836297051894986776623679470485016037276866149998833558348306799629235519337343381128169100583  ( 148 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sat Dec 18 07:32:45 2021  p71 factor: 29835608198013714597656231164356744017143931970683121815013282510255703
Sat Dec 18 07:32:45 2021  p78 factor: 125165560887973150064997201444984190650874291006954421200463858950059536790961
Sat Dec 18 07:32:45 2021  elapsed time 01:55:10 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 17x10^204-2 = 56(204)
#
# n: 1494617976923088873482507098568109268849950901571374441012718891355098962095599529925793667931845806950222740205965586113078533932883570019737839951217308140023157242870347337404840311164543
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 14946179769230888734825070985681092688499509015713744410127188913550989620955995299257936679318458069502227402059655861130785339328835700197378399512173081400231572428703473374048403111
64543 (190 digits)
# Using B1=35140000, B2=192388936756, polynomial Dickson(12), sigma=1:40015396
# Step 1 took 99874ms
# Step 2 took 34359ms
# ********** Factor found in step 2: 400230753338935804125460570808159756518121
# Found prime factor of 42 digits: 400230753338935804125460570808159756518121
# Composite cofactor 3734390634538196470991109791937869283854714472024254532836297051894986776623679470485016037276866149998833558348306799629235519337343381128169100583 has 148 digits
#

n: 3734390634538196470991109791937869283854714472024254532836297051894986776623679470485016037276866149998833558348306799629235519337343381128169100583
m: 10000000000000000000000000000000000
deg: 6
c6: 17
c0: -2
skew: 0.70
# Murphy_E = 9.102e-12
type: snfs
lss: 1
rlim: 18400000
alim: 18400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18400000/18400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10477989 hash collisions in 66734807 relations (59191178 unique)
Msieve: matrix is 2244599 x 2244827 (766.6 MB)

Sieving start time : 2021/12/17 14:28:58
Sieving end time  : 2021/12/18 05:36:15

Total sieving time: 15hrs 7min 17secs.

Total relation processing time: 1hrs 35min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 1sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18400000,18400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118230] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153572] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.15 BogoMIPS (lpj=12798304)
[    0.152049] smpboot: Total of 16 processors activated (102386.43 BogoMIPS)

3287536826995541138813937640027506453331813714847224342082719382047173436106919900012637407457705668982308473811339949082240203<127>

882680789956339280385300802191722279<36>
718462237444177550406608255890561721044841<42>
5183976272201184387357489301351900931068531553077<49>

3287536826995541138813937640027506453331813714847224342082719382047173436106919900012637407457705668982308473811339949082240203=882680789956339280385300802191722279*718462237444177550406608255890561721044841*5183976272201184387357489301351900931068531553077

cado polynomial
n: 3287536826995541138813937640027506453331813714847224342082719382047173436106919900012637407457705668982308473811339949082240203
skew: 52297.741
c0: 128584785322893882437634412695
c1: -3702216492308400674701982
c2: -854162621706735837231
c3: 339714266768348
c4: -51754906458
c5: 720720
Y0: -1687700739727504036081556
Y1: 13628397360502943
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.170e-07
# f(x) = 720720*x^5-51754906458*x^4+339714266768348*x^3-854162621706735837231*x^2-3702216492308400674701982*x+128584785322893882437634412695
# g(x) = 13628397360502943*x-1687700739727504036081556
# Murphy_E = 2.170e-07

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

cado log (extracts)
Info:Square Root: Factors: 882680789956339280385300802191722279 718462237444177550406608255890561721044841 5183976272201184387357489301351900931068531553077
Info:Square Root: Total cpu/real time for sqrt: 592.26/157.789
Info:Filtering - Singleton removal: Total cpu/real time for purge: 141.05/161.282
Info:Generate Free Relations: Total cpu/real time for freerel: 126.77/32.753
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12215919
Info:Lattice Sieving: Average J: 3783.26 for 248992 special-q, max bucket fill -bkmult 1.0,1s:1.201560
Info:Lattice Sieving: Total time: 74545.7s
Info:Linear Algebra: Total cpu/real time for bwc: 9902.13/2548.11
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6208.37, WCT time 1590.48, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Linear Algebra: Lingen CPU time 144.83, WCT time 36.82
Info:Linear Algebra: Mksol: CPU time 3421.5,  WCT time 874.88, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.65/58.662
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 58.1s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3009.4
Info:Polynomial Selection (root optimized): Rootsieve time: 3006.95
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 203.47/198.956
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 161.89999999999998s
Info:Filtering - Merging: Merged matrix has 808713 rows and total weight 137656872 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 169.31/48.8423
Info:Filtering - Merging: Total cpu/real time for replay: 30.18/24.8942
Info:Quadratic Characters: Total cpu/real time for characters: 29.68/11.8315
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19736/38.130/45.101/48.600/0.853
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15612/37.150/40.486/45.900/1.042
Info:Polynomial Selection (size optimized): Total time: 1938
Info:Square Root: Total cpu/real time for sqrt: 592.26/157.789
Info:Generate Factor Base: Total cpu/real time for makefb: 8.55/2.28338
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 154731/41856
Info:root: Cleaning up computation data in /tmp/cado.7md769rc
882680789956339280385300802191722279 718462237444177550406608255890561721044841 5183976272201184387357489301351900931068531553077

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

162630409801502354658593287893562812064631821913274955827657123836895280694757666232504625002908075005761258959582771247259600289708876551222867082628275542783<159>

134640700848467640268413790884886802959645793<45>
1655983327532381262435925252820609649003947431<46>
729406170142535589931828432768031726815356285455453515431234231045001<69>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 162630409801502354658593287893562812064631821913274955827657123836895280694757666232504625002908075005761258959582771247259600289708876551222867082628275542783 (159 digits)
Using B1=35090000, B2=192388936756, polynomial Dickson(12), sigma=1:2089086836
Step 1 took 82684ms
Step 2 took 29781ms
********** Factor found in step 2: 1655983327532381262435925252820609649003947431
Found prime factor of 46 digits: 1655983327532381262435925252820609649003947431
Composite cofactor 98207757951187623581392643296041672416174563899785279165059473758726970144545118463199943576774563596727203330793 has 113 digits


CADO

STA:Tue 30 Nov 2021 00:08:59 AEDT (98,207,757,951,187,623,581,392,643,296,041,672,416,174,563,899,785,279,165,059,473,758,726,970,144,545,118,463,199,943,576,774,563,596,727,203,330,793 - C113)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 98207757951187623581392643296041672416174563899785279165059473758726970144545118463199943576774563596727203330793 2>&1 | tee -a log107

Debug:root: Looking for parameter file for c113 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.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.akmln1t0
Info:Database: Opened connection to database /tmp/cado.akmln1t0/c115.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 9820775795118762358139264329604167241617456389978527916505947375872697014454511846319
9943576774563596727203330793
Debug:root: Root parameter dictionary:
N = 98207757951187623581392643296041672416174563899785279165059473758726970144545118463199943576774563596727203330793
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 98207757951187623581392643296041672416174563899785279165059473758726970144545118463199943576774563596727203330793
skew: 1220048.945
c0: 497799381329222162317207009413
c1: 51025383788780962704575
c2: -839122294719609206
c3: -1142887955658
c4: 155820
Y0: -904080819803368361104049980
Y1: 6938132464900513241
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 2.53e-09
# f(x) = 155820*x^4-1142887955658*x^3-839122294719609206*x^2+51025383788780962704575*x+497799381329222162317207009413
# g(x) = 6938132464900513241*x-904080819803368361104049980
...
Info:Square Root: finished
Info:Square Root: Factors: 729406170142535589931828432768031726815356285455453515431234231045001 134640700848467640268413790884886802959645793
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 274.46/40.059
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56297/38.320/43.156/48.820/0.651
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56297/37.000/42.314/44.260/1.020
Info:Polynomial Selection (size optimized): Total time: 1115.83
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 148.17
Info:Polynomial Selection (root optimized): Rootsieve time: 147.55
Info:Generate Factor Base: Total cpu/real time for makefb: 2.66/0.279561
Info:Generate Free Relations: Total cpu/real time for freerel: 53.27/3.51137
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6783329
Info:Lattice Sieving: Average J: 4096 for 66029 special-q, max bucket fill: 0.643983
Info:Lattice Sieving: Total CPU time: 57015.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.33/18.921
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 90/27.9264
Info:Filtering - Singleton removal: Total cpu/real time for purge: 79.19/29.4323
Info:Filtering - Merging: Total cpu/real time for merge: 130.98/102.741
Info:Filtering - Merging: Total cpu/real time for replay: 14.05/10.8101
Info:Linear Algebra: Total cpu/real time for bwc: 3525.3/0.000179768
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 145.65
Info:Linear Algebra: Lingen CPU time 81.89, WCT time 8.37
Info:Linear Algebra: Mksol: WCT time 81.04
Info:Quadratic Characters: Total cpu/real time for characters: 13.78/3.19046
Info:Square Root: Total cpu/real time for sqrt: 274.46/40.059
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 62479.5/4327.27
Info:root: Cleaning up computation data in /tmp/cado.akmln1t0
729406170142535589931828432768031726815356285455453515431234231045001 134640700848467640268413790884886802959645793

END:Tue 30 Nov 2021 01:21:07 AEDT (98,207,757,951,187,623,581,392,643,296,041,672,416,174,563,899,785,279,165,059,473,758,726,970,144,545,118,463,199,943,576,774,563,596,727,203,330,793 - C113)

7565037290833731548638679642185652140989848005225267397715161022010060118531588152340517917770841477000066470666829908829877337605673147603<139>

95334900644399579640216381053645501005990132939<47>
79352233439162213176184457505065078874442115795784763350924962969848701651027758338258986777<92>

7565037290833731548638679642185652140989848005225267397715161022010060118531588152340517917770841477000066470666829908829877337605673147603=95334900644399579640216381053645501005990132939*79352233439162213176184457505065078874442115795784763350924962969848701651027758338258986777

cado polynomial
n: 7565037290833731548638679642185652140989848005225267397715161022010060118531588152340517917770841477000066470666829908829877337605673147603
skew: 461555.005
c0: -23457831760836623208028962016298
c1: -819580902843362544513561089
c2: 14508835538363512663034
c3: 5521634815629491
c4: -17508412983
c5: 19080
Y0: -1055403788002891887026333045
Y1: 109991416114382258807
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.770e-07
# f(x) = 19080*x^5-17508412983*x^4+5521634815629491*x^3+14508835538363512663034*x^2-819580902843362544513561089*x-23457831760836623208028962016298
# g(x) = 109991416114382258807*x-1055403788002891887026333045

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

cado log (extracts)
Info:Square Root: Factors: 79352233439162213176184457505065078874442115795784763350924962969848701651027758338258986777 95334900644399579640216381053645501005990132939
Info:Square Root: Total cpu/real time for sqrt: 1322.04/351.663
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32847930
Info:Lattice Sieving: Average J: 3797.35 for 754670 special-q, max bucket fill -bkmult 1.0,1s:1.162440
Info:Lattice Sieving: Total time: 272711s
Info:Generate Free Relations: Total cpu/real time for freerel: 494.44/124.71
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 144.17/167.142
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 167.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 8925.57
Info:Polynomial Selection (root optimized): Rootsieve time: 8923.07
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 383.02/322.293
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 302.9s
Info:Filtering - Merging: Merged matrix has 1738550 rows and total weight 296286679 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 440.91/124.668
Info:Filtering - Merging: Total cpu/real time for replay: 68.91/58.3593
Info:Linear Algebra: Total cpu/real time for bwc: 48823.9/12504.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 31235.17, WCT time 7979.12, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (54528 iterations)
Info:Linear Algebra: Lingen CPU time 341.37, WCT time 86.72
Info:Linear Algebra: Mksol: CPU time 16930.09,  WCT time 4318.28, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27392 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 67.23/28.4565
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66282/42.040/49.971/55.000/0.933
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54443/39.840/44.612/50.720/1.035
Info:Polynomial Selection (size optimized): Total time: 22706.4
Info:Square Root: Total cpu/real time for sqrt: 1322.04/351.663
Info:Generate Factor Base: Total cpu/real time for makefb: 11.67/3.12013
Info:Filtering - Singleton removal: Total cpu/real time for purge: 151.47/168.826
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 594632/159383
Info:root: Cleaning up computation data in /tmp/cado.dphy8nru
79352233439162213176184457505065078874442115795784763350924962969848701651027758338258986777 95334900644399579640216381053645501005990132939

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-89-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

1063765897527063103557122201248821511935575798507624230559760197087442631300298912473006921907991706178786659680202873954698287335658610728396005485651785195664943920668215320880883436133547125738483<199>

317063850874083302663001005692963506029097814992519363359809694248129387625153821195899716851909729474669252326100707767459687000609281086328492853807904956104505483662197741212507297550917125279943600533<204>

23793732903822572604268469040828961758458335632622943268528230261741750664199775936298590082772561<98>
13325519461603502199162248259397237704570965320068408070674253620466998627143611118236644965871863832846853<107>

Number: 56666_211
N = 317063850874083302663001005692963506029097814992519363359809694248129387625153821195899716851909729474669252326100707767459687000609281086328492853807904956104505483662197741212507297550917125279943600533 (204 digits)
SNFS difficulty: 212 digits.
Divisors found:
r1=23793732903822572604268469040828961758458335632622943268528230261741750664199775936298590082772561 (pp98)
r2=13325519461603502199162248259397237704570965320068408070674253620466998627143611118236644965871863832846853 (pp107)
Version: Msieve v. 1.54 (SVN 1018)
Total time: 75.86 hours.
Factorization parameters were as follows:
n: 317063850874083302663001005692963506029097814992519363359809694248129387625153821195899716851909729474669252326100707767459687000609281086328492853807904956104505483662197741212507297550917125279943600533
m: 100000000000000000000000000000000000
deg: 6
c6: 85
c0: -1
skew: 0.48
# Murphy_E = 5.873e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 42632737
Relations: 6810636 relations
Pruned matrix : 4222984 x 4223211
Total sieving time: 70.41 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 3.66 hours.
time per square root: 1.61 hours.
Prototype def-par.txt line would be: snfs,212,6,0,0,0,0,0,0,0,0,24000000,24000000,29,29,57,57,2.6,2.6,100000
total time: 75.86 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

228255323719756169607132307527054969252665216574021858803942103708477671258626708558231961116034265152125459867343376567577002604796047154864523751980450602862590295120706785896506350868712908509895539622438841<210>

862658607242491591461146323768328424256921<42>
3565142541729495737988995209829033212964975595056594574344130668673421<70>
74217284002192325699324891384745547035506960911774956408520709975109299961435994230576914263248101<98>

Number: n
N=264595196527835789979108883872422949266833685964048359561071849176728410854686162837537915660176369397791063804832774269031559082007615955200913333943607026932267423521  ( 168 digits)
SNFS difficulty: 213 digits.
Divisors found:

Mon Jan  3 19:53:29 2022  p70 factor: 3565142541729495737988995209829033212964975595056594574344130668673421
Mon Jan  3 19:53:29 2022  p98 factor: 74217284002192325699324891384745547035506960911774956408520709975109299961435994230576914263248101
Mon Jan  3 19:53:29 2022  elapsed time 04:14:18 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 17x10^213-2 = 56(213)
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 22825532371975616960713230752705496925266521657402185880394210370847767125862670855823196111603426515212545986734337656757700260479604715486452375198045060286259029512070678589650635086
8712908509895539622438841 (210 digits)
# Using B1=40810000, B2=192394462276, polynomial Dickson(12), sigma=1:3786203670
# Step 1 took 131414ms
# Step 2 took 38876ms
# ********** Factor found in step 2: 862658607242491591461146323768328424256921
# Found prime factor of 42 digits: 862658607242491591461146323768328424256921
# Composite cofactor 264595196527835789979108883872422949266833685964048359561071849176728410854686162837537915660176369397791063804832774269031559082007615955200913333943607026932267423521 has 168 digits
#
n: 264595196527835789979108883872422949266833685964048359561071849176728410854686162837537915660176369397791063804832774269031559082007615955200913333943607026932267423521
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 8500
c0: -1
skew: 0.16
# Murphy_E = 4e-12
type: snfs
lss: 1
rlim: 26000000
alim: 26000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 26000000/26000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 76200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 11855300 hash collisions in 71166808 relations (61765568 unique)
Msieve: matrix is 3195751 x 3195977 (1112.4 MB)

Sieving start time : 2022/01/02 06:38:35
Sieving end time  : 2022/01/03 15:37:25

Total sieving time: 32hrs 58min 50secs.

Total relation processing time: 3hrs 50min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 48sec.

Prototype def-par.txt line would be:
snfs,213,5,0,0,0,0,0,0,0,0,26000000,26000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116212] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153541] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798280)
[    0.152035] smpboot: Total of 16 processors activated (102386.24 BogoMIPS)

320798712486864740505996879085430798087451120121999230612559415581755422399464446420662049990762408122362210846778341142874542048166567279181501963907970241193915633899788864641<177>

7157750591077050328185215290385697733879312714594018942510502564305508420445132934337944468792365343934307349657555006194767584030258100477128162341548079286618231979411956640072829761281803532864040237627<205>

7632620931859380197582548274173923491762447624711824232317500295247965360686732569096120771847934451351554958587535717466001010252003918595370572680666625453270564731955149124648096042486654646435417<199>

931466438415856378541023899677202486445331<42>

8194198542290120029788600803372944609544894515403529080766696800668137239044716089173888921527697389939916650497149461993427975812807823085250245006024235107<157>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 7632620931859380197582548274173923491762447624711824232317500295247965360686732569096120771847934451351554958587535717466001010252003918595370572680666625453270564731955149124648096042486654646435417 (199 digits)
Using B1=35690000, B2=192388936756, polynomial Dickson(12), sigma=1:3380759710
Step 1 took 115526ms
********** Factor found in step 1: 931466438415856378541023899677202486445331
Found prime factor of 42 digits: 931466438415856378541023899677202486445331
Composite cofactor 8194198542290120029788600803372944609544894515403529080766696800668137239044716089173888921527697389939916650497149461993427975812807823085250245006024235107 has 157 digits

13856670722039438520975304858238246412619028379948080119340488631247593618343675254365137057071812646712965363687475653995456173179484812108822677137094193342848246510849992780167794078136605391004377<200>

14208335981048820177763067695140348258410233261509381594543659969442815367289455220180896242257933886284346145695760845025651714254677267742273009948751607912229372851157585864014760182933<188>

15891965660117558888163991556037957279083<41>
894057807883767836930621481337751324304338335023817221828365541473121059657447800745770323590743663707493744934292828241068255132976498674292925951<147>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 14208335981048820177763067695140348258410233261509381594543659969442815367289455220180896242257933886284346145695760845025651714254677267742273009948751607912229372851157585864014760182933 (188 digits)
Using B1=35290000, B2=192388936756, polynomial Dickson(12), sigma=1:223961049
Step 1 took 98204ms
Step 2 took 34791ms
********** Factor found in step 2: 15891965660117558888163991556037957279083
Found prime factor of 41 digits: 15891965660117558888163991556037957279083
Prime cofactor 894057807883767836930621481337751324304338335023817221828365541473121059657447800745770323590743663707493744934292828241068255132976498674292925951 has 147 digits

25594166769992463244051236214221510692178263488760219804031850554147697782390202259732447724587470639228016911690799698082568788188010289711726872587440826388581961956738033<173>

3224171230469842630919833144533222442108393954834909<52>
7938215727538376143197397182446691054355010200003270473829495002479703720031743626531188611565657441506752598563380089637<121>

Number: 56666_219
N = 25594166769992463244051236214221510692178263488760219804031850554147697782390202259732447724587470639228016911690799698082568788188010289711726872587440826388581961956738033 (173 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=3224171230469842630919833144533222442108393954834909 (pp52)
r2=7938215727538376143197397182446691054355010200003270473829495002479703720031743626531188611565657441506752598563380089637 (pp121)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 23.64 hours.
Factorization parameters were as follows:
n: 25594166769992463244051236214221510692178263488760219804031850554147697782390202259732447724587470639228016911690799698082568788188010289711726872587440826388581961956738033
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 17
c0: -20
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
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: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31089228
Relations: 7251292 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 8.35 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 6352493 x 6352718
Matrix solve time: 14.92 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 23.64 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

5345628676682286418128115137926151754359606093598141886163388781388994260116673696385276484855812724858303621108273219468269160472477852525475028894674047349162496017912162175479288810960549677103022018981<205>

3288152740775404275237251920218176296879349038457<49>
32106209310863071317864527088850557146750863058321<50>
50635811245845011502503091626224765546737974252169590955295602292907229934088882138092162769097988716397373<107>

Number: 56666_220
N = 5345628676682286418128115137926151754359606093598141886163388781388994260116673696385276484855812724858303621108273219468269160472477852525475028894674047349162496017912162175479288810960549677103022018981 (205 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=3288152740775404275237251920218176296879349038457 (pp49)
r2=32106209310863071317864527088850557146750863058321 (pp50)
r3=50635811245845011502503091626224765546737974252169590955295602292907229934088882138092162769097988716397373 (pp107)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 23.43 hours.
Factorization parameters were as follows:
n: 5345628676682286418128115137926151754359606093598141886163388781388994260116673696385276484855812724858303621108273219468269160472477852525475028894674047349162496017912162175479288810960549677103022018981
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 17
c0: -2
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
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: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31563414
Relations: 6848646 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 7.80 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 6223920 x 6224145
Matrix solve time: 15.16 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 23.43 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

332161000390777647518561938257131692067213755373192653380226651035560765924189136381398983978116451738960531457600625244236029699101211410707307542008597108245408362641656897225478702618210238374364986322782336850332161<219>

49151289782821226467006621287293814785555808101604269781289<59>
6757930501080576020780915891732266602181173234619762206583723598163671847916093630466564959892520020186354862552652969639097888498276248408318716093599303841049<160>

Number: 56666_221
N = 332161000390777647518561938257131692067213755373192653380226651035560765924189136381398983978116451738960531457600625244236029699101211410707307542008597108245408362641656897225478702618210238374364986322782336850332161 (219 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=49151289782821226467006621287293814785555808101604269781289 (pp59)
r2=6757930501080576020780915891732266602181173234619762206583723598163671847916093630466564959892520020186354862552652969639097888498276248408318716093599303841049 (pp160)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 38.74 hours.
Factorization parameters were as follows:
n: 332161000390777647518561938257131692067213755373192653380226651035560765924189136381398983978116451738960531457600625244236029699101211410707307542008597108245408362641656897225478702618210238374364986322782336850332161
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 85
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: 0
Relations: 7871606 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 7.53 hours.
Total relation processing time: 0.39 hours.
Pruned matrix : 6799257 x 6799482
Matrix solve time: 30.26 hours.
time per square root: 0.56 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 38.74 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

21848654274166511817542535904773940983582049802650230967650756530603246819525455505949428400519217589203088045611888129368832810881886254677183189956937561936275963041834320066113308113251774568906194599604376392381<215>

7927432109729650232399115442464948875704653623323468586538834855251721362603<76>
2756082167812045506259083500510793618819046285829705296553261542254157479220073890043704135577488983629189574750274560897897429249623260727<139>

Number: 56666_222
N = 21848654274166511817542535904773940983582049802650230967650756530603246819525455505949428400519217589203088045611888129368832810881886254677183189956937561936275963041834320066113308113251774568906194599604376392381 (215 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=7927432109729650232399115442464948875704653623323468586538834855251721362603 (pp76)
r2=2756082167812045506259083500510793618819046285829705296553261542254157479220073890043704135577488983629189574750274560897897429249623260727 (pp139)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 94.67 hours.
Factorization parameters were as follows:
n: 21848654274166511817542535904773940983582049802650230967650756530603246819525455505949428400519217589203088045611888129368832810881886254677183189956937561936275963041834320066113308113251774568906194599604376392381
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 850
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: 30155893
Relations: 10193272 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.89 hours.
Total relation processing time: 0.48 hours.
Pruned matrix : 8628794 x 8629019
Matrix solve time: 75.83 hours.
time per square root: 0.48 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: 94.67 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

15890772498179539081338700667954413740860905931481909150984198827155175784538608513438741239340004769437762577138413356431337655522499695238352268001998565631572219028395058730266742899749997580396199321309593409104313<218>

441925263665565046741288307847135203489787194931168313846380520190598247605246530557540681308964281101906084511997829756002612336781959962050919343034760053069<159>

3765311772120315328616637934725338745149765453940927977054989510464127751474341377735249769405864548727440627797033774152614508899962749376610319271451926670587840962988465557951490719117172672832491404794707<208>

114046328694308970202736355772506288431608917286647709997837507331748441880342711242491500879080172790806731622310981812592081061888515868786322470143825997725789099189567055734105465591192225018091365314006624005956161<219>

4479328220922638354971415615257255230135848191534577804721916084814590009093010102847156137544931519014354925056667658192059137330064166054764255284980881524196315076390441523001695124302867798593511907261559339593642789<220>

14230944497972228921988810523099770516841749162948386829761327898231105738545333584619318014782350934378329933871354751859796650836246820290508152121661949848491634390247263246482551502839<188>

673455437149614326485843769503121800183<39>
46814619746892500768449771530500264998217394746197<50>
451381090217588674750689457304706886646809123809093744646613654011170172131113332103187727935227389<99>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 14230944497972228921988810523099770516841749162948386829761327898231105738545333584619318014782350934378329933871354751859796650836246820290508152121661949848491634390247263246482551502839 (188 digits)
Using B1=38590000, B2=192391699516, polynomial Dickson(12), sigma=1:442277366
Step 1 took 106622ms
Step 2 took 34381ms
********** Factor found in step 2: 673455437149614326485843769503121800183
Found prime factor of 39 digits: 673455437149614326485843769503121800183
Composite cofactor 21131234099474192179372491838160090554978205902965086694166064513679685955407628642128785983576981881401341732603580445597191712216754067087137989633 has 149 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 21131234099474192179372491838160090554978205902965086694166064513679685955407628642128785983576981881401341732603580445597191712216754067087137989633 (149 digits)
Using B1=48050000, B2=240495495256, polynomial Dickson(12), sigma=1:2475264247
Step 1 took 92316ms
Step 2 took 31803ms
********** Factor found in step 2: 46814619746892500768449771530500264998217394746197
Found prime factor of 50 digits: 46814619746892500768449771530500264998217394746197
Prime cofactor 451381090217588674750689457304706886646809123809093744646613654011170172131113332103187727935227389 has 99 digits

177035313241261368660964961371023507119400399346173644981279726544246697099362961648536881992047422967366202929856989837792203827459350145259627232779373409141830535761326632144294693243570483<192>

8352086053384907492324337936911876958899862270392853750941348655212080888853441329669662713094144101341183575818401995825117059555444755289420815491409732263401447389621446603869546673732904047635349347923433<208>

86153596659267593071223685144079220766057510059699374626245426257589118293956071801421027559015213711598301253788224323694266224749394390894071618978116986448546031359909183973403877925421392444836358844933661730572363953335157762439059<236>

39626379043207639716459462569368332842020696750787679381369466729203883<71>
2174147594089477797994067990466758844695938938745797673592390086661861183458629990945411863477595864800698493022866114469910578968512953580645723540739475508097113273<166>

Number: 56666_240
N = 86153596659267593071223685144079220766057510059699374626245426257589118293956071801421027559015213711598301253788224323694266224749394390894071618978116986448546031359909183973403877925421392444836358844933661730572363953335157762439059 (236 digits)
SNFS difficulty: 242 digits.
Divisors found:
r1=39626379043207639716459462569368332842020696750787679381369466729203883 (pp71)
r2=2174147594089477797994067990466758844695938938745797673592390086661861183458629990945411863477595864800698493022866114469910578968512953580645723540739475508097113273 (pp166)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 63.29 hours.
Factorization parameters were as follows:
n: 86153596659267593071223685144079220766057510059699374626245426257589118293956071801421027559015213711598301253788224323694266224749394390894071618978116986448546031359909183973403877925421392444836358844933661730572363953335157762439059 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 17
c0: -2
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 150000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 500000000/150000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 60270758
Relations: 13701792 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 14.73 hours.
Total relation processing time: 0.58 hours.
Pruned matrix : 10963522 x 10963747
Matrix solve time: 47.77 hours.
time per square root: 0.22 hours.
Prototype def-par.txt line would be: snfs,242,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000
total time: 63.29 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

GGNFS, NFS_factory, Msieve

3954293844114081943969573186288901018760095504757644649833311214304272740944186274037383152010729878390703548672319265451498093438615301248357333729141642761942577311944837<172>

4237498518301816425216087043289307217050201694166248391733425276710220679617873153579242861044742259445327073410503251920117381890775556437211863663657440794110893532922265127827199341<184>

28077457123319540057993331358104089032743931464839680049617316221740723864953877049378404540504848659347190062428263378766400558704608130437432206363404293222436401131900480153564066947834417519641<197>

4348082094028493788711455332284421861<37>

6457434914092388631872323641896555578582427057869621209839463271268790921823829819714916449526823808514514405369945967894761921345613088105341560009407192434981<160>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 28077457123319540057993331358104089032743931464839680049617316221740723864953877049378404540504848659347190062428263378766400558704608130437432206363404293222436401131900480153564066947834417519641 (197 digits)
Using B1=36100000, B2=192389627446, polynomial Dickson(12), sigma=1:1986851595
Step 1 took 117737ms
Step 2 took 38366ms
********** Factor found in step 2: 4348082094028493788711455332284421861
Found prime factor of 37 digits: 4348082094028493788711455332284421861
Composite cofactor 6457434914092388631872323641896555578582427057869621209839463271268790921823829819714916449526823808514514405369945967894761921345613088105341560009407192434981 has 160 digits

16175371357894339573070426322731111108633172731676958936454757478967809570672032288423328055436405753510702016961836941141886632862044311718874205444986895628330353076289194222226800114875395909<194>

40304952833667522256096470806897888997792217506842761535908562306813568461676449442737158618449682428332098969784919110788654111209330753209473<143>

5939278315927952382411412023723227621616537571853925939519863969<64>
6786170084937378382196554169785386769637739558069145668949500885885839326338017<79>

40304952833667522256096470806897888997792217506842761535908562306813568461676449442737158618449682428332098969784919110788654111209330753209473=5939278315927952382411412023723227621616537571853925939519863969*6786170084937378382196554169785386769637739558069145668949500885885839326338017

cado polynomial
n: 40304952833667522256096470806897888997792217506842761535908562306813568461676449442737158618449682428332098969784919110788654111209330753209473
skew: 135145.498
c0: -9888980944683082760123503881620
c1: -223805690325504215255618759
c2: 29394854111321191279904
c3: 13034699421956573
c4: -478299808008
c5: 1457280
Y0: -2781023591107614986304461567
Y1: 20595694855184057999
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 2.226e-07
# f(x) = 1457280*x^5-478299808008*x^4+13034699421956573*x^3+29394854111321191279904*x^2-223805690325504215255618759*x-9888980944683082760123503881620
# g(x) = 20595694855184057999*x-2781023591107614986304461567

cado parameters (extracts)
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 87
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5939278315927952382411412023723227621616537571853925939519863969 6786170084937378382196554169785386769637739558069145668949500885885839326338017
Info:Square Root: Total cpu/real time for sqrt: 4392.11/1311.93
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 209.09/262.982
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 261.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 934.69/911.373
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 766.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 710.84/809.273
Info:Generate Factor Base: Total cpu/real time for makefb: 18.5/4.92744
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78695/42.220/51.374/56.980/0.916
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 64737/41.820/45.860/52.070/1.043
Info:Polynomial Selection (size optimized): Total time: 40803.8
Info:Linear Algebra: Total cpu/real time for bwc: 182611/46903.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 118521.02, WCT time 30373.7, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (99328 iterations)
Info:Linear Algebra: Lingen CPU time 719.88, WCT time 182.64
Info:Linear Algebra: Mksol: CPU time 62181.31,  WCT time 15899.0, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (49664 iterations)
Info:Square Root: Total cpu/real time for sqrt: 4392.11/1311.93
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4596.54
Info:Polynomial Selection (root optimized): Rootsieve time: 4594.06
Info:Filtering - Merging: Merged matrix has 3170995 rows and total weight 543492743 (171.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 801.92/227.185
Info:Filtering - Merging: Total cpu/real time for replay: 136.79/122.232
Info:Quadratic Characters: Total cpu/real time for characters: 126.95/54.0507
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 46714313
Info:Lattice Sieving: Average J: 3775.04 for 847038 special-q, max bucket fill -bkmult 1.0,1s:1.135990
Info:Lattice Sieving: Total time: 1.03142e+06s
Info:Generate Free Relations: Total cpu/real time for freerel: 500.97/126.418
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.24258e+06/887.965
5939278315927952382411412023723227621616537571853925939519863969 6786170084937378382196554169785386769637739558069145668949500885885839326338017

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

49283933437699310024931872209659650953789064764886646953093291586942656693917782802806285151040760712007885429350031889603989099553545544152606250362381863512494926653910825071026845248449005624166521713921261668696005102336638255928567287064417<245>

4218222500180897976342036539735731422697514559277435616303994680539318565734361489194559674223007929662337851840322488498136334619847778434500949817566595123752737133667280137715886774198446271635145009612728460909367953<220>

5539540613096194788723374171276214537351204388273217337736048262902431463994945470060114600570952878070329202381323713442404272541857640724901761430346501853618312913461492543983210201110866454989321691141126168407929534231104155189<232>

138545494282212925916006926620470408956670960981718006212955176647877929503198618592956927996686560888489821793154506210061361752091855602899367761841929222501821384869202404554821651057872525328405586842845494624915508198688889<228>

97824934767021063726183420970312316791586549473394318166460960099350461373789267385041085641924874517828089121154533655896413121339900668646333275912640140296652989037254273885885821799232160552042246507417<206>

17033866178542914961077582068849129234356158152282236052136332680232559298402297925637069850161705011582934995544129748711912826025561667331827373293423418298024008501974856158751134631387057128958094039646327886590364206863793<227>

1176385207294697762733562849653772624886979811300874864723693592365260349659866958468628417260219574419137228669054070066598266093517730865991013442692498406015164724613984599091943491<184>

13114522167748199165855260896893110635645059125277569743735396577019167600713783008895172792814973042941445036872149032494887693973034871756992941398872019025279854687761864753878185015381182296523459367477432770571<215>

11877534478026629986575362299023202018154787610753328036326609394565102951122954072368621968022128373480257357184806339898206371217026223863390832434563129028978007416907764061383580382394291703500974411472160609418345296385989733905185067155966936783<251>

182577254548795230027587430428044597306776401864434236219913711443585477028004949337399352538867752649360972158281347416222136374518819084602529387544675937091993790150831060587347727001941742506874246149216716134323557115844269<228>

684279208458013030286197766351656720467113138724326447874427519938688582922162032486356680134891557846146662770300350270451294213493502970174281889222441459913716416985259015781088615767564038470982133872384342725669245191731009038120792186014460027226262153<258>

5049162343743935320343205308788552666677496283758852266431368575422538905356301536624322983552218790150090195289064711314319708720563185430376286572919572989215777501572646977886885230123888620595644407600620823247012842111544879<229>

69254255468784910566578730304703570257496267314222326179417395505430827755213871895504067940807052989499390919949986530039216116541496741545691887961634391571705286629678801189130632369<185>

721250502388515736590728485268486600510893514787274774707602914294200028124977194293692861267572094677221873960366511045752503186403405129890332231980860473800366126277815130461890183158780297602183355757556085250965306308350448746854011551<240>

283333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<270>

89151277229564160341583053130010439926203618510940711480064212676055746699033244139099602332793253527467458489512677832060040815397793373351712914490200086765580133675623343142393873673505126145936119786001805352647244774657601767603523812100849369835081799<257>

9031496141476273032647040314148386971<37>

9871152667623422563653855599686078380762767858989221792252893236436308581189362213971752964986830070252274476384147327926208330022630673751321322054970374021787215831253686576136144056648478241505974204341351146134524869<220>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1192224238
Step 1 took 12469ms
Step 2 took 5078ms
********** Factor found in step 2: 9031496141476273032647040314148386971
Found prime factor of 37 digits: 9031496141476273032647040314148386971
Composite cofactor 9871152667623422563653855599686078380762767858989221792252893236436308581189362213971752964986830070252274476384147327926208330022630673751321322054970374021787215831253686576136144056648478241505974204341351146134524869 has 220 digits

GMP-ECM

717723487027620954747033934904671155164728569005445065126138631508450701784634759417020409411382583419173853151515792867168619509466825059399065397576255570876872009437606017743640034872101746691796423258578576713970312688409705740343<234>

2140610401351858427583150122266629394862031363719927571817478965354850245414686602045416197621152252803570034476419287655225733662735498623713430189658081559774656683867100832823364384775978825585582863028636330439731743741232941223875109234089598396305054610748886253<268>

612339920658162499161259917611682679952086642647670330780810256826459640116667456510211586580828375997401028517948713560758912870062067183565898823574487973002278555314269954696973468301735581762256417841273802658320609520632896537384785913361653<246>

151022368756324628025553930015925166646654426072703579045892235010968159436965582807020822400979523266125021209981233231997501571214515368925499885506388778330150679050493797750285867132534784258176641096252115008309668261404248519702283172694481991418479037698116629<267>

335911426206707598791274099593614987<36>
449589853080469459989040030589967113402140755512894555179149702815775704807844809580016349131181464186962412659542231723685214238654727111148491644626368975642489838228951732689842911791246472806574382417611486185285932077779737567<231>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=683980677
Step 1 took 20244ms
Step 2 took 6808ms
********** Factor found in step 2: 335911426206707598791274099593614987
Found probable prime factor of 36 digits: 335911426206707598791274099593614987
Probable prime cofactor 449589853080469459989040030589967113402140755512894555179149702815775704807844809580016349131181464186962412659542231723685214238654727111148491644626368975642489838228951732689842911791246472806574382417611486185285932077779737567 has 231 digits

362600296308430371571454227684831235157383459198295010747899371165768484403281490022732905635619122942403289168617242966514075930208401320888891164028002981001024239189925342731933013647848564465426914924158948612712595753140011918885033950052449066389554722570247408581<270>

4168591723586715328658837443016900097500628302659970120755684566050827148605625454101043415081734819532227359423712414310763742283273271230288487136527143494445742556892667688650146379369958958475908165192737227338421472683938689516274419633243094268294551862573<262>

173824130879345603271983640081799591002044989775051124744376278118609406952965235173824130879345603271983640081799591002044989775051124744376278118609406952965235173824130879345603271983640081799591002044989775051124744376278118609406952965235173824130879345603271983640081799591<279>

356423883001267209560663236296566600899425857014104281963513793099574529899701100608403392130969851991612599449773830930137592303321170618959315088804196690564657381734718550890547898229659151223661616440591721359822963707108298101051250053271535171469127<255>